TSTP Solution File: GRP002-2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP002-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 00:51:46 EDT 2023

% Result   : Unsatisfiable 3.88s 0.88s
% Output   : CNFRefutation 3.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GRP002-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.10  % Command  : gkc %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Mon Aug 28 20:15:16 EDT 2023
% 0.14/0.29  % CPUTime  : 
% 0.14/0.33  
% 0.14/0.33  input clause set summed statistics:
% 0.14/0.33  ----------------------------------
% 0.14/0.33  in_clause_count:                    12
% 0.14/0.33  in_rule_clause_count:               12
% 0.14/0.33  in_fact_clause_count:                0
% 0.14/0.33  in_answer_clause_count:              0
% 0.14/0.33  in_ground_clause_count:              6
% 0.14/0.33  in_unit_clause_count:               12
% 0.14/0.33  in_horn_clause_count:               12
% 0.14/0.33  in_pos_clause_count:                11
% 0.14/0.33  in_neg_clause_count:                 1
% 0.14/0.33  in_poseq_clause_count:              11
% 0.14/0.33  in_negeq_clause_count:               1
% 0.14/0.33  in_unitposeq_clause_count:          11
% 0.14/0.33  in_chain_clause_count:               0
% 0.14/0.33  in_min_length:             1
% 0.14/0.33  in_max_length:             1
% 0.14/0.33  in_min_depth:              2
% 0.14/0.33  in_max_depth:              3
% 0.14/0.33  in_min_size:               5
% 0.14/0.33  in_max_size:              11
% 0.14/0.33  in_min_vars:               0
% 0.14/0.33  in_max_vars:               3
% 0.14/0.33  in_extaxiom_count:                 3
% 0.14/0.33  in_axiom_count:                    2
% 0.14/0.33  in_assumption_count:               1
% 0.14/0.33  in_goal_count:                     6
% 0.14/0.33  in_neg_goal_count:                 1
% 0.14/0.33  in_pos_goal_count:                 5
% 0.14/0.33  in_posunit_goal_count:             5
% 0.14/0.33  
% 0.14/0.33  auto guide:
% 0.14/0.33  -----------
% 0.14/0.33  {
% 0.14/0.33  "print":1,
% 0.14/0.33  "print_level": 15,
% 0.14/0.33  "max_size": 0,
% 0.14/0.33  "max_depth": 0,
% 0.14/0.33  "max_length": 0,
% 0.14/0.33  "max_dseconds": 0,
% 0.14/0.33  "runs":[
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% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
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% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
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% 0.14/0.33  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.14/0.33  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.14/0.33  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.14/0.33  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.14/0.33  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.14/0.33  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.14/0.33  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.14/0.33  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
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% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
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% 0.14/0.33  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
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% 0.14/0.33  
% 0.14/0.33  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1},
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% 0.14/0.33  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.14/0.33  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
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% 0.14/0.33  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
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% 0.14/0.33  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.14/0.33  {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 1},
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% 0.14/0.33  {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.14/0.33  {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":20},
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% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.14/0.33  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.14/0.33  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.14/0.33  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.14/0.33  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.14/0.33  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.14/0.33  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.14/0.33  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.14/0.33  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.14/0.33  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.14/0.33  {"max_dseconds": 1250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1} 
% 0.14/0.33  
% 0.14/0.33  ]}
% 0.14/0.33  
% 0.14/0.33  
% 0.14/0.33  **** run 1 fork 0 starts with strategy
% 0.14/0.33  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.14/0.33  
% 0.14/0.33  **** run 2 fork 1 starts with strategy
% 0.14/0.33  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.14/0.33  
% 0.14/0.33  **** run 3 fork 2 starts with strategy
% 0.14/0.33  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.14/0.33  
% 0.14/0.33  **** run 4 fork 3 starts with strategy
% 0.14/0.33  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.14/0.33  
% 0.14/0.33  **** run 5 fork 4 starts with strategy
% 0.14/0.33  
% 0.14/0.33  **** run 6 fork 5 starts with strategy
% 0.14/0.33  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.14/0.33  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.14/0.33  
% 0.14/0.33  **** run 7 fork 6 starts with strategy
% 0.14/0.33  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.14/0.34  
% 0.14/0.34  **** run 8 fork 7 starts with strategy
% 0.14/0.34  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.14/0.45  
% 0.14/0.45  
% 0.14/0.45  fork 2: search terminated without proof.
% 0.14/0.45  
% 0.14/0.45  
% 0.14/0.45  fork 4: search terminated without proof.
% 0.14/0.45  
% 0.14/0.45  
% 0.14/0.45  fork 1: search terminated without proof.
% 0.14/0.46  
% 0.14/0.46  
% 0.14/0.46  fork 5: search terminated without proof.
% 0.14/0.46  
% 0.14/0.46  
% 0.14/0.46  fork 3: search terminated without proof.
% 0.14/0.46  
% 0.14/0.46  
% 0.14/0.46  fork 6: search terminated without proof.
% 0.14/0.46  
% 0.14/0.46  
% 0.14/0.46  fork 0: search terminated without proof.
% 0.14/0.47  
% 0.14/0.47  
% 0.14/0.47  fork 7: search terminated without proof.
% 0.14/0.47  
% 0.14/0.47  **** run 11 fork 2 starts with strategy
% 0.14/0.47  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.14/0.48  
% 0.14/0.48  **** run 13 fork 4 starts with strategy
% 0.14/0.48  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.14/0.48  
% 0.14/0.48  **** run 14 fork 5 starts with strategy
% 0.14/0.48  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.14/0.48  
% 0.14/0.48  **** run 12 fork 3 starts with strategy
% 0.14/0.48  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.14/0.48  
% 0.14/0.48  **** run 10 fork 1 starts with strategy
% 0.14/0.48  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.14/0.48  
% 0.14/0.48  **** run 15 fork 6 starts with strategy
% 0.14/0.48  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.14/0.49  
% 0.14/0.49  **** run 9 fork 0 starts with strategy
% 0.14/0.49  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.14/0.49  
% 0.14/0.49  **** run 16 fork 7 starts with strategy
% 0.14/0.49  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 0.14/0.59  
% 0.14/0.59  
% 0.14/0.59  fork 2: search terminated without proof.
% 0.14/0.59  
% 0.14/0.59  
% 0.14/0.59  fork 1: search terminated without proof.
% 0.14/0.59  
% 0.14/0.59  
% 0.14/0.59  fork 4: search terminated without proof.
% 0.14/0.59  
% 0.14/0.59  
% 0.14/0.59  fork 3: search terminated without proof.
% 0.14/0.60  
% 0.14/0.60  
% 0.14/0.60  fork 6: search terminated without proof.
% 0.14/0.60  
% 0.14/0.60  
% 0.14/0.60  fork 0: search terminated without proof.
% 0.14/0.61  
% 0.14/0.61  **** run 19 fork 2 starts with strategy
% 0.14/0.61  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 0.14/0.61  
% 0.14/0.61  
% 0.14/0.61  fork 7: search terminated without proof.
% 0.14/0.62  
% 0.14/0.62  **** run 20 fork 3 starts with strategy
% 0.14/0.62  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
% 0.14/0.62  
% 0.14/0.62  **** run 23 fork 6 starts with strategy
% 0.14/0.62  
% 0.14/0.62  **** run 18 fork 1 starts with strategy
% 0.14/0.62  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.14/0.62  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.14/0.62  
% 0.14/0.62  **** run 17 fork 0 starts with strategy
% 0.14/0.62  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.14/0.62  
% 0.14/0.62  **** run 21 fork 4 starts with strategy
% 0.14/0.62  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.14/0.63  
% 0.14/0.63  **** run 24 fork 7 starts with strategy
% 0.14/0.63  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 2.57/0.73  
% 2.57/0.73  
% 2.57/0.73  fork 1: search terminated without proof.
% 2.57/0.73  
% 2.57/0.73  
% 2.57/0.73  fork 0: search terminated without proof.
% 2.57/0.74  
% 2.57/0.74  
% 2.57/0.74  fork 2: search terminated without proof.
% 2.57/0.74  
% 2.57/0.74  
% 2.57/0.74  fork 4: search terminated without proof.
% 2.57/0.75  
% 2.57/0.75  
% 2.57/0.75  fork 7: search terminated without proof.
% 2.57/0.75  
% 2.57/0.75  
% 2.57/0.75  fork 3: search terminated without proof.
% 2.57/0.75  
% 2.57/0.75  **** run 26 fork 1 starts with strategy
% 2.57/0.75  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 2.57/0.75  
% 2.57/0.75  
% 2.57/0.75  fork 6: search terminated without proof.
% 3.21/0.75  
% 3.21/0.75  **** run 25 fork 0 starts with strategy
% 3.21/0.75  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
% 3.21/0.76  
% 3.21/0.76  **** run 29 fork 4 starts with strategy
% 3.21/0.76  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 3.28/0.76  
% 3.28/0.76  **** run 27 fork 2 starts with strategy
% 3.28/0.76  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 3.28/0.77  
% 3.28/0.77  **** run 32 fork 7 starts with strategy
% 3.28/0.77  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 3.28/0.77  
% 3.28/0.77  **** run 28 fork 3 starts with strategy
% 3.28/0.77  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1}
% 3.28/0.77  
% 3.28/0.77  **** run 31 fork 6 starts with strategy
% 3.28/0.77  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 3.88/0.86  
% 3.88/0.86  
% 3.88/0.86  fork 1: search terminated without proof.
% 3.88/0.88  
% 3.88/0.88  **** run 34 fork 1 starts with strategy
% 3.88/0.88  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 3.88/0.88  
% 3.88/0.88  
% 3.88/0.88  result: proof found
% 3.88/0.88  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 3.88/0.88  by run 14 fork 5 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 3.88/0.88  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 3.88/0.88  
% 3.88/0.88  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 3.88/0.88  cnf('1', plain, (multiply(a,b) = c),
% 3.88/0.88    inference(cnf_transformation,[],['a_times_b_is_c'])).
% 3.88/0.88  cnf('2', plain, (multiply(inverse(X),X) = identity),
% 3.88/0.88    inference(cnf_transformation,[],['$inc_left_inverse'])).
% 3.88/0.88  cnf('3', plain, (multiply(X,multiply(X,X)) = identity),
% 3.88/0.88    inference(cnf_transformation,[],['x_cubed_is_identity'])).
% 3.88/0.88  cnf('4', plain, (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z))),
% 3.88/0.88    inference(cnf_transformation,[],['$inc_associativity'])).
% 3.88/0.88  cnf('5', plain, (multiply(multiply(X3,Y3),multiply(Y3,Y3)) = multiply(X3,identity)),
% 3.88/0.88    inference(paramodulation,[],['3','4'])).
% 3.88/0.88  cnf('6', plain, (multiply(X,identity) = X),
% 3.88/0.88    inference(cnf_transformation,[],['right_identity'])).
% 3.88/0.88  cnf('7', plain, (multiply(multiply(X,Y),multiply(Y,Y)) = X),
% 3.88/0.88    inference(simplify,[],['5','6'])).
% 3.88/0.88  cnf('8', plain, (multiply(identity,multiply(X3,X3)) = inverse(X3)),
% 3.88/0.88    inference(paramodulation,[],['2','7'])).
% 3.88/0.88  cnf('9', plain, (multiply(identity,X) = X),
% 3.88/0.88    inference(cnf_transformation,[],['$inc_left_identity'])).
% 3.88/0.88  cnf('10', plain, (multiply(X,X) = inverse(X)),
% 3.88/0.88    inference(simplify,[],['8','9'])).
% 3.88/0.88  cnf('11', plain, (multiply(inverse(X),Y) = multiply(X,multiply(X,Y))),
% 3.88/0.88    inference(paramodulation,[],['10','4'])).
% 3.88/0.88  cnf('12', plain, (multiply(inverse(a),b) = multiply(a,c)),
% 3.88/0.88    inference(paramodulation,[],['1','11'])).
% 3.88/0.88  cnf('13', plain, (multiply(c,inverse(a)) = d),
% 3.88/0.88    inference(cnf_transformation,[],['c_times_inverse_a_is_d'])).
% 3.88/0.88  cnf('14', plain, (multiply(d,X3) = multiply(c,multiply(inverse(a),X3))),
% 3.88/0.88    inference(paramodulation,[],['13','4'])).
% 3.88/0.88  cnf('15', plain, (multiply(h,b) = j),
% 3.88/0.88    inference(cnf_transformation,[],['h_times_b_is_j'])).
% 3.88/0.88  cnf('16', plain, (multiply(identity,X3) = multiply(inverse(Y3),multiply(Y3,X3))),
% 3.88/0.88    inference(paramodulation,[],['2','4'])).
% 3.88/0.88  cnf('17', plain, (X = multiply(inverse(Y),multiply(Y,X))),
% 3.88/0.88    inference(simplify,[],['16','9'])).
% 3.88/0.88  cnf('18', plain, (b = multiply(inverse(h),j)),
% 3.88/0.88    inference(paramodulation,[],['15','17'])).
% 3.88/0.88  cnf('19', plain, (multiply(X,inverse(X)) = identity),
% 3.88/0.88    inference(cnf_transformation,[],['right_inverse'])).
% 3.88/0.88  cnf('20', plain, (multiply(multiply(X3,Y3),inverse(Y3)) = multiply(X3,identity)),
% 3.88/0.88    inference(paramodulation,[],['19','4'])).
% 3.88/0.88  cnf('21', plain, (multiply(multiply(X,Y),inverse(Y)) = X),
% 3.88/0.88    inference(simplify,[],['20','6'])).
% 3.88/0.88  cnf('22', plain, (multiply(b,inverse(j)) = inverse(h)),
% 3.88/0.88    inference(paramodulation,[],['18','21'])).
% 3.88/0.88  cnf('23', plain, (inverse(j) = multiply(inverse(b),inverse(h))),
% 3.88/0.88    inference(paramodulation,[],['22','17'])).
% 3.88/0.88  cnf('24', plain, (multiply(d,inverse(b)) = h),
% 3.88/0.88    inference(cnf_transformation,[],['d_times_inverse_b_is_h'])).
% 3.88/0.88  cnf('25', plain, (inverse(b) = multiply(inverse(d),h)),
% 3.88/0.88    inference(paramodulation,[],['24','17'])).
% 3.88/0.88  cnf('26', plain, (multiply(inverse(b),inverse(h)) = inverse(d)),
% 3.88/0.88    inference(paramodulation,[],['25','21'])).
% 3.88/0.88  cnf('27', plain, (inverse(j) = inverse(d)),
% 3.88/0.88    inference(simplify,[],['23','26'])).
% 3.88/0.88  cnf('28', plain, (inverse(multiply(X3,X3)) = X3),
% 3.88/0.88    inference(paramodulation,[],['10','7'])).
% 3.88/0.88  cnf('29', plain, (inverse(inverse(X)) = X),
% 3.88/0.88    inference(simplify,[],['28','10'])).
% 3.88/0.88  cnf('30', plain, (inverse(inverse(j)) = d),
% 3.88/0.88    inference(paramodulation,[],['27','29'])).
% 3.88/0.88  cnf('31', plain, (j = d),
% 3.88/0.88    inference(simplify,[],['30','29'])).
% 3.88/0.88  cnf('32', plain, (multiply(j,X) = multiply(c,multiply(inverse(a),X))),
% 3.88/0.88    inference(simplify,[],['14','31'])).
% 3.88/0.88  cnf('33', plain, (multiply(j,b) = multiply(c,multiply(a,c))),
% 3.88/0.88    inference(paramodulation,[],['12','32'])).
% 3.88/0.88  cnf('34', plain, (multiply(multiply(X,Y),Y) = multiply(X,inverse(Y))),
% 3.88/0.88    inference(paramodulation,[],['10','4'])).
% 3.88/0.88  cnf('35', plain, (multiply(inverse(b),h) = multiply(inverse(d),inverse(h))),
% 3.88/0.88    inference(paramodulation,[]
% 3.88/0.88  
% 3.88/0.88  fork 0: search terminated without proof.
% 3.88/0.88  ,['25','34'])).
% 3.88/0.88  cnf('36', plain, (multiply(j,inverse(h)) = k),
% 3.88/0.88    inference(cnf_transformation,[],['j_times_inverse_h_is_k'])).
% 3.88/0.88  cnf('37', plain, (multiply(inverse(j),inverse(h)) = multiply(j,k)),
% 3.88/0.88    inference(paramodulation,[],['36','11'])).
% 3.88/0.88  cnf('38', plain, (multiply(inverse(b),h) = multiply(j,k)),
% 3.88/0.88    inference(simplify,[then_simplify],['35','31','37'])).
% 3.88/0.88  cnf('39', plain, (multiply(multiply(j,k),h) = multiply(inverse(b),inverse(h))),
% 3.88/0.88    inference(paramodulation,[],['38','34'])).
% 3.88/0.88  cnf('40', plain, (multiply(multiply(j,k),h) = inverse(j)),
% 3.88/0.88    inference(simplify,[then_simplify],['39','26','31'])).
% 3.88/0.88  cnf('41', plain, (inverse(j) = multiply(j,multiply(k,h))),
% 3.88/0.88    inference(paramodulation,[],['40','4'])).
% 3.88/0.88  cnf('42', plain, (multiply(k,h) = multiply(inverse(j),inverse(j))),
% 3.88/0.88    inference(paramodulation,[],['41','17'])).
% 3.88/0.88  cnf('43', plain, (multiply(k,h) = j),
% 3.88/0.88    inference(simplify,[then_simplify],['42','10','29'])).
% 3.88/0.88  cnf('44', plain, (multiply(multiply(X,h),b) = multiply(X,j)),
% 3.88/0.88    inference(paramodulation,[],['15','4'])).
% 3.88/0.88  cnf('45', plain, (multiply(j,b) = multiply(k,j)),
% 3.88/0.88    inference(paramodulation,[],['43','44'])).
% 3.88/0.88  cnf('46', plain, (multiply(k,j) = multiply(c,multiply(a,c))),
% 3.88/0.88    inference(simplify,[],['33','45'])).
% 3.88/0.88  cnf('47', plain, (multiply(multiply(c,a),c) = multiply(k,j)),
% 3.88/0.88    inference(paramodulation,[],['46','4'])).
% 3.88/0.88  cnf('48', plain, (multiply(multiply(k,j),X) = multiply(multiply(c,a),multiply(c,X))),
% 3.88/0.88    inference(paramodulation,[],['47','4'])).
% 3.88/0.88  cnf('49', plain, (multiply(multiply(k,j),a) = inverse(multiply(c,a))),
% 3.88/0.88    inference(paramodulation,[],['48','10'])).
% 3.88/0.88  cnf('50', plain, (multiply(j,a) = multiply(c,identity)),
% 3.88/0.88    inference(paramodulation,[],['2','32'])).
% 3.88/0.88  cnf('51', plain, (multiply(j,a) = c),
% 3.88/0.88    inference(simplify,[],['50','6'])).
% 3.88/0.88  cnf('52', plain, (multiply(multiply(X,j),a) = multiply(X,c)),
% 3.88/0.88    inference(paramodulation,[],['51','4'])).
% 3.88/0.88  cnf('53', plain, (multiply(k,c) = inverse(multiply(c,a))),
% 3.88/0.88    inference(simplify,[],['49','52'])).
% 3.88/0.88  cnf('54', plain, (multiply(multiply(k,c),multiply(c,a)) = identity),
% 3.88/0.88    inference(paramodulation,[],['53','2'])).
% 3.88/0.88  cnf('55', plain, (multiply(X,Y) = multiply(inverse(Z),multiply(multiply(Z,X),Y))),
% 3.88/0.88    inference(paramodulation,[],['17','4'])).
% 3.88/0.88  cnf('56', plain, (multiply(c,multiply(c,a)) = multiply(inverse(k),identity)),
% 3.88/0.88    inference(paramodulation,[],['54','55'])).
% 3.88/0.88  cnf('57', plain, (multiply(c,inverse(b)) = a),
% 3.88/0.88    inference(paramodulation,[],['1','21'])).
% 3.88/0.88  cnf('58', plain, (inverse(b) = multiply(inverse(c),a)),
% 3.88/0.88    inference(paramodulation,[],['57','17'])).
% 3.88/0.88  cnf('59', plain, (inverse(b) = inverse(k)),
% 3.88/0.88    inference(simplify,[then_simplify],['56','11','58','6'])).
% 3.88/0.88  cnf('60', plain, (multiply(k,inverse(b)) != identity),
% 3.88/0.88    inference(cnf_transformation,[],['prove_k_times_inverse_b_is_e'])).
% 3.88/0.88  cnf('61', plain, (multiply(X3,inverse(X3)) = identity),
% 3.88/0.88    inference(paramodulation,[],['9','21'])).
% 3.88/0.88  cnf('62', plain, ($false),
% 3.88/0.88    inference(paramodulation,[then_simplify],['59','60','61'])).
% 3.88/0.88  
% 3.88/0.88  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 3.88/0.88  
% 3.88/0.88  run 14 fork 5 statistics:
% 3.88/0.88  ----------------------------------
% 3.88/0.88  this run seconds: 0.076971
% 3.88/0.88  total seconds: 0.236945
% 3.88/0.88  stat_given_used: 275
% 3.88/0.88  stat_given_used_at_endgame: 0
% 3.88/0.88  stat_given_candidates:   1189
% 3.88/0.88  stat_given_candidates_at_endgame: 0
% 3.88/0.88  stat_given_candidates_h: 0
% 3.88/0.88  stat_binres_derived_cl:   0
% 3.88/0.88  stat_binres_derived_cl_h: 0
% 3.88/0.88  stat_factor_derived_cl: 0
% 3.88/0.88  stat_para_derived_cl: 8531
% 3.88/0.88  stat_tautologies_discarded: 0
% 3.88/0.88  stat_forward_subsumed: 525
% 3.88/0.88  stat_derived_cut: 1
% 3.88/0.88  stat_derived_rewritten: 80
% 3.88/0.88  stat_weight_discarded_building: 0
% 3.88/0.88  stat_weight_discarded_cl: 1978
% 3.88/0.88  stat_internlimit_discarded_cl: 0
% 3.88/0.88  stat_simplified:  80 simplified 0 derived 0 given
% 3.88/0.88  stat_kept_cl: 5479
% 3.88/0.88  stat_built_cl: 8087
% 3.88/0.88  stat_hyperres_partial_cl: 0
% 3.88/0.88  stat_made_rewriters: 271
% 3.88/0.88  stat_backward_subsumed: 0
% 3.88/0.88  stat_propagated_subsumed: 0
% 3.88/0.88  stat_clsubs_attempted:                      3613
% 3.88/0.88  stat_clsubs_fact_groundunit_found:             0
% 3.88/0.88  stat_clsubs_rule_groundunit_found:             1
% 3.88/0.88  stat_clsubs_top_meta_attempted:              14327
% 3.88/0.88  stat_clsubs_top_meta_failed:                 10714
% 3.88/0.88  stat_clsubs_top_meta_nonpref_attempted:               14327
% 3.88/0.88  stat_clsubs_top_meta_nonpref_succeeded:                7525
% 3.88/0.88  stat_clsubs_top_meta_pref_attempted:                   7525
% 3.88/0.88  stat_clsubs_top_meta_pref1_succeeded:                  7525
% 3.88/0.88  stat_clsubs_top_meta_pref2_succeeded:                  7061
% 3.88/0.88  stat_clsubs_top_meta_pref3_succeeded:                  3613
% 3.88/0.88  stat_clsubs_top_meta_pref_succeeded:                   3613
% 3.88/0.88  stat_clsubs_meta_attempted:                 3613
% 3.88/0.88  stat_clsubs_meta_failed:                      26
% 3.88/0.88  stat_clsubs_predsymbs_attempted:               0
% 3.88/0.88  stat_clsubs_unit_attempted:                 3613
% 3.88/0.88  stat_clsubs_full_attempted:                    0
% 3.88/0.88  stat_forwardsubs_attempted:                 7983
% 3.88/0.88  stat_lit_hash_added:                   5668
% 3.88/0.88  stat_lit_hash_computed:               14140
% 3.88/0.88  stat_lit_hash_match_found:              534
% 3.88/0.88  stat_lit_hash_match_miss:             15476
% 3.88/0.88  stat_lit_hash_cut_ok:                     0
% 3.88/0.88  stat_lit_strong_cut_ok:                   1
% 3.88/0.88  stat_lit_hash_subsume_ok:               525
% 3.88/0.88  clqueue els 10000000 used 1
% 3.88/0.88  clactive els 10000000 used 276
% 3.88/0.88  clactivesubsume els 10000000 used 589
% 3.88/0.88  queue_termbuf els 200000000 used 347480
% 3.88/0.88  hyper_termbuf els 100000000 used 1
% 3.88/0.88  active_termbuf els 100000000 used 10816
% 3.88/0.88  varstack els 5000 last used 1
% 3.88/0.88  given_termbuf els 10000000 last used 1
% 3.88/0.88  simplified_termbuf els 10000000 last used 1
% 3.88/0.88  derived_termbuf els 10000000 last used 36
% 3.88/0.88  wr_mallocs: 25666
% 3.88/0.88  wr_callocs: 21
% 3.88/0.88  wr_reallocs: 244
% 3.88/0.88  wr_frees: 2
% 3.88/0.88  wr_malloc_bytes: 4163491748
% 3.88/0.88  wr_calloc_bytes: 112065536
% 3.88/0.88  wr_realloc_bytes: 127384
% 3.88/0.88  wr_realloc_freebytes: 0
% 3.88/0.88  ----------------------------------
%------------------------------------------------------------------------------