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GKC---0.8.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL902+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n027.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 12:09:45 PM UTC 2026

% Result   : Theorem 5.54s 1.35s
% Output   : CNFRefutation 5.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL902+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04  % Command  : gkc %s
% 0.11/0.37  % Computer : n027.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep  6 01:08:43 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.22/0.49  
% 0.22/0.49  input clause set summed statistics:
% 0.22/0.49  ----------------------------------
% 0.22/0.49  in_clause_count:                    15
% 0.22/0.49  in_rule_clause_count:               15
% 0.22/0.49  in_fact_clause_count:                0
% 0.22/0.49  in_answer_clause_count:              0
% 0.22/0.49  in_ground_clause_count:              1
% 0.22/0.49  in_unit_clause_count:                8
% 0.22/0.49  in_horn_clause_count:               15
% 0.22/0.49  in_pos_clause_count:                 7
% 0.22/0.49  in_neg_clause_count:                 1
% 0.22/0.49  in_poseq_clause_count:               6
% 0.22/0.49  in_negeq_clause_count:               1
% 0.22/0.49  in_unitposeq_clause_count:           5
% 0.22/0.49  in_chain_clause_count:               0
% 0.22/0.49  in_min_length:             1
% 0.22/0.49  in_max_length:             3
% 0.22/0.49  in_min_depth:              1
% 0.22/0.49  in_max_depth:              4
% 0.22/0.49  in_min_size:               3
% 0.22/0.49  in_max_size:              11
% 0.22/0.49  in_min_vars:               0
% 0.22/0.49  in_max_vars:               3
% 0.22/0.49  in_extaxiom_count:                 0
% 0.22/0.49  in_axiom_count:                   14
% 0.22/0.49  in_assumption_count:               0
% 0.22/0.49  in_goal_count:                     1
% 0.22/0.49  in_neg_goal_count:                 1
% 0.22/0.49  in_pos_goal_count:                 0
% 0.22/0.49  in_posunit_goal_count:             0
% 0.22/0.49  
% 0.22/0.49  auto guide:
% 0.22/0.49  -----------
% 0.22/0.49  {
% 0.22/0.49  "print":1,
% 0.22/0.49  "print_level": 15,
% 0.22/0.49  "max_size": 0,
% 0.22/0.49  "max_depth": 0,
% 0.22/0.49  "max_length": 0,
% 0.22/0.49  "max_dseconds": 0,
% 0.22/0.49  "runs":[
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% 0.22/0.49  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.49  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.49  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.49  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.49  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.49  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.49  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.49  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.49  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.49  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.49  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.49  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.49  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.22/0.49  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.49  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.22/0.49  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
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% 0.22/0.49  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
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% 0.22/0.49  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.49  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.22/0.49  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.49  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.49  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.22/0.49  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.49  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.49  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
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% 0.22/0.49  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
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% 0.22/0.49  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.49  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
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% 0.22/0.49  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
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% 0.22/0.49  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.49  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
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% 0.22/0.49  {"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},
% 0.22/0.49  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
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% 0.22/0.49  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
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% 0.22/0.49  
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% 0.22/0.49  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.49  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.49  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.49  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.49  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.49  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.49  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.49  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.22/0.49  
% 0.22/0.49  ]}
% 0.22/0.49  
% 0.22/0.50  
% 0.22/0.50  **** run 1 fork 0 starts with strategy
% 0.22/0.50  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.22/0.50  
% 0.22/0.50  **** run 2 fork 1 starts with strategy
% 0.22/0.50  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.22/0.50  
% 0.22/0.50  **** run 3 fork 2 starts with strategy
% 0.22/0.50  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.50  
% 0.22/0.50  **** run 4 fork 3 starts with strategy
% 0.22/0.50  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.50  
% 0.22/0.50  **** run 5 fork 4 starts with strategy
% 0.22/0.50  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.51  
% 0.22/0.51  **** run 6 fork 5 starts with strategy
% 0.22/0.51  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.51  
% 0.22/0.51  **** run 7 fork 6 starts with strategy
% 0.22/0.51  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.51  
% 0.22/0.51  **** run 8 fork 7 starts with strategy
% 0.22/0.51  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.71/0.60  
% 0.71/0.60  
% 0.71/0.60  fork 0: search terminated without proof.
% 0.71/0.60  
% 0.71/0.60  
% 0.71/0.60  fork 1: search terminated without proof.
% 0.71/0.60  
% 0.71/0.60  
% 0.71/0.60  fork 2: search terminated without proof.
% 0.71/0.61  
% 0.71/0.61  
% 0.71/0.61  fork 4: search terminated without proof.
% 0.71/0.61  
% 0.71/0.61  
% 0.71/0.61  fork 6: search terminated without proof.
% 0.71/0.63  
% 0.71/0.63  
% 0.71/0.63  fork 3: search terminated without proof.
% 1.18/0.67  
% 1.18/0.67  
% 1.18/0.67  fork 5: search terminated without proof.
% 1.18/0.67  
% 1.18/0.67  **** run 15 fork 6 starts with strategy
% 1.18/0.67  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.18/0.67  
% 1.18/0.67  **** run 10 fork 1 starts with strategy
% 1.18/0.67  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 1.18/0.68  
% 1.18/0.68  **** run 11 fork 2 starts with strategy
% 1.18/0.68  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.18/0.68  
% 1.18/0.68  **** run 13 fork 4 starts with strategy
% 1.18/0.68  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.18/0.68  
% 1.18/0.68  
% 1.18/0.68  fork 7: search terminated without proof.
% 1.60/0.71  
% 1.60/0.71  **** run 9 fork 0 starts with strategy
% 1.60/0.71  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.60/0.71  
% 1.60/0.71  **** run 12 fork 3 starts with strategy
% 1.60/0.71  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 1.60/0.74  
% 1.60/0.74  **** run 14 fork 5 starts with strategy
% 1.60/0.74  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 1.60/0.77  
% 1.60/0.77  
% 1.60/0.77  fork 6: search terminated without proof.
% 1.60/0.78  
% 1.60/0.78  
% 1.60/0.78  fork 1: search terminated without proof.
% 1.60/0.78  
% 1.60/0.78  
% 1.60/0.78  fork 2: search terminated without proof.
% 1.60/0.79  
% 1.60/0.79  
% 1.60/0.79  fork 4: search terminated without proof.
% 2.29/0.81  
% 2.29/0.81  
% 2.29/0.81  fork 3: search terminated without proof.
% 2.29/0.83  
% 2.29/0.83  **** run 16 fork 7 starts with strategy
% 2.29/0.83  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 2.29/0.84  
% 2.29/0.84  
% 2.29/0.84  fork 5: search terminated without proof.
% 2.29/0.85  
% 2.29/0.85  **** run 23 fork 6 starts with strategy
% 2.29/0.85  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 2.29/0.85  
% 2.29/0.85  **** run 18 fork 1 starts with strategy
% 2.29/0.85  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.29/0.85  
% 2.29/0.85  **** run 19 fork 2 starts with strategy
% 2.29/0.85  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 2.29/0.86  
% 2.29/0.86  **** run 21 fork 4 starts with strategy
% 2.29/0.86  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.29/0.88  
% 2.29/0.88  **** run 20 fork 3 starts with strategy
% 2.29/0.88  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 3.02/0.91  
% 3.02/0.91  **** run 22 fork 5 starts with strategy
% 3.02/0.91  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 3.02/0.92  
% 3.02/0.92  
% 3.02/0.92  fork 0: search terminated without proof.
% 3.02/0.95  
% 3.02/0.95  
% 3.02/0.95  fork 6: search terminated without proof.
% 3.02/0.95  
% 3.02/0.95  
% 3.02/0.95  fork 1: search terminated without proof.
% 3.02/0.96  
% 3.02/0.96  
% 3.02/0.96  fork 2: search terminated without proof.
% 3.02/0.96  
% 3.02/0.96  
% 3.02/0.96  fork 4: search terminated without proof.
% 3.02/0.99  
% 3.02/0.99  
% 3.02/0.99  fork 3: search terminated without proof.
% 3.02/0.99  
% 3.02/0.99  **** run 17 fork 0 starts with strategy
% 3.02/0.99  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 3.02/1.02  
% 3.02/1.02  
% 3.02/1.02  fork 5: search terminated without proof.
% 3.02/1.03  
% 3.02/1.03  **** run 27 fork 2 starts with strategy
% 3.02/1.03  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 3.02/1.03  
% 3.02/1.03  **** run 26 fork 1 starts with strategy
% 3.02/1.03  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 3.02/1.03  
% 3.02/1.03  **** run 29 fork 4 starts with strategy
% 3.02/1.03  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 3.02/1.04  
% 3.02/1.04  **** run 31 fork 6 starts with strategy
% 3.02/1.04  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 4.06/1.06  
% 4.06/1.06  **** run 28 fork 3 starts with strategy
% 4.06/1.06  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 4.06/1.09  
% 4.06/1.09  **** run 30 fork 5 starts with strategy
% 4.06/1.09  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 4.06/1.10  
% 4.06/1.10  
% 4.06/1.10  fork 0: search terminated without proof.
% 4.06/1.13  
% 4.06/1.13  
% 4.06/1.13  fork 1: search terminated without proof.
% 4.06/1.14  
% 4.06/1.14  
% 4.06/1.14  fork 4: search terminated without proof.
% 4.73/1.17  
% 4.73/1.17  
% 4.73/1.17  fork 3: search terminated without proof.
% 4.73/1.17  
% 4.73/1.17  **** run 25 fork 0 starts with strategy
% 4.73/1.17  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 4.73/1.19  
% 4.73/1.19  
% 4.73/1.19  fork 5: search terminated without proof.
% 4.99/1.20  
% 4.99/1.20  **** run 34 fork 1 starts with strategy
% 4.99/1.20  {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 4.99/1.21  
% 4.99/1.21  
% 4.99/1.21  fork 6: search terminated without proof.
% 4.99/1.21  
% 4.99/1.21  **** run 37 fork 4 starts with strategy
% 4.99/1.21  {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 4.99/1.24  
% 4.99/1.24  **** run 36 fork 3 starts with strategy
% 4.99/1.24  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 4.99/1.26  
% 4.99/1.26  **** run 38 fork 5 starts with strategy
% 4.99/1.26  {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 4.99/1.27  
% 4.99/1.27  **** run 39 fork 6 starts with strategy
% 4.99/1.27  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 5.54/1.32  
% 5.54/1.32  
% 5.54/1.32  fork 4: search terminated without proof.
% 5.54/1.35  
% 5.54/1.35  
% 5.54/1.35  result: proof found
% 5.54/1.35  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 5.54/1.35  by run 16 fork 7 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 5.54/1.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 5.54/1.35  
% 5.54/1.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 5.54/1.35  fof('sos_13_$sk', plain, ('==>'('==>'('==>'(X1,'1'),X1),X1) = '0'),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_13'])).
% 5.54/1.35  fof('sos_13', axiom, (! [A] : ('==>'('==>'('==>'(A,'1'),A),A) = '0')),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_02_$sk', plain, ('+'(X2,X1) = '+'(X1,X2)),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_02'])).
% 5.54/1.35  fof('sos_02', axiom, (! [A,B] : ('+'(A,B) = '+'(B,A))),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_07_$sk', plain, ((~'>='('+'(X3,X2),X1) | '>='(X2,'==>'(X3,X1))) & ('>='('+'(X6,X5),X4) | ~'>='(X5,'==>'(X6,X4)))),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_07'])).
% 5.54/1.35  fof('sos_07', axiom, (! [X5,X6,X7] : ('>='('+'(X5,X6),X7) <=> '>='(X6,'==>'(X5,X7)))),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_04_$sk', plain, '>='(X1,X1),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_04'])).
% 5.54/1.35  fof('sos_04', axiom, (! [A] : '>='(A,A)),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_03_$sk', plain, ('+'(X1,'0') = X1),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_03'])).
% 5.54/1.35  fof('sos_03', axiom, (! [A] : ('+'(A,'0') = A)),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_06_$sk', plain, ((X2 = X1) | (~'>='(X1,X2) | ~'>='(X2,X1))),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_06'])).
% 5.54/1.35  fof('sos_06', axiom, (! [X3,X4] : (('>='(X3,X4) & '>='(X4,X3)) => (X3 = X4))),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_05_$sk', plain, ('>='(X3,X2) | (~'>='(X1,X2) | ~'>='(X3,X1))),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_05'])).
% 5.54/1.35  fof('sos_05', axiom, (! [X0,X1,X2] : (('>='(X0,X1) & '>='(X1,X2)) => '>='(X0,X2))),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_12_$sk', plain, ('+'(X1,'1') = '1'),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_12'])).
% 5.54/1.35  fof('sos_12', axiom, (! [A] : ('+'(A,'1') = '1')),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_09_$sk', plain, ('>='('+'(X3,X2),'+'(X1,X2)) | ~'>='(X3,X1)),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_09'])).
% 5.54/1.35  fof('sos_09', axiom, (! [X8,X9,X10] : ('>='(X8,X9) => '>='('+'(X8,X10),'+'(X9,X10)))),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_08_$sk', plain, '>='(X1,'0'),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_08'])).
% 5.54/1.35  fof('sos_08', axiom, (! [A] : '>='(A,'0')),
% 5.54/1.35    input). 
% 5.54/1.35  fof('sos_11_$sk', plain, ('>='('==>'(X3,X2),'==>'(X3,X1)) | ~'>='(X2,X1)),
% 5.54/1.35    inference(negpush_and_skolemize,[],['sos_11'])).
% 5.54/1.35  fof('sos_11', axiom, (! [X14,X15,X16] : ('>='(X14,X15) => '>='('==>'(X16,X14),'==>'(X16,X15)))),
% 5.54/1.35    input). 
% 5.54/1.35  fof('goals_14_$sk', plain, ~('==>'('==>'($sk1,'1'),'1') = $sk1),
% 5.54/1.35    inference(negpush_and_skolemize,[],['goals_14'])).
% 5.54/1.35  fof('goals_14', conjecture, (! [X17] : ('==>'('==>'(X17,'1'),'1') = X17)),
% 5.54/1.35    input). 
% 5.54/1.35  cnf('1', plain, ('==>'('==>'('==>'(X,'1'),X),X) = '0'),
% 5.54/1.35    inference(cnf_transformation,[],['sos_13_$sk'])).
% 5.54/1.35  cnf('2', plain, ($sum(X,Y) = $sum(Y,X)),
% 5.54/1.35    inference(cnf_transformation,[],['sos_02_$sk'])).
% 5.54/1.35  cnf('3', plain, ('>='($sum(X,Y),Z) | ~'>='(Y,'==>'(X,Z))),
% 5.54/1.35    inference(cnf_transformation,[],['sos_07_$sk'])).
% 5.54/1.35  cnf('4', plain, ('>='(X,X)),
% 5.54/1.35    inference(cnf_transformation,[],['sos_04_$sk'])).
% 5.54/1.35  cnf('5', plain, ('>='($sum(X,'==>'(X,Y)),Y)),
% 5.54/1.35    inference(resolution,[],['3','4'])).
% 5.54/1.35  cnf('6', plain, ('>='($sum('==>'(X,Y),X),Y)),
% 5.54/1.35    inference(paramodulation,[],['2','5'])).
% 5.54/1.35  cnf('7', plain, (~'>='($sum(X,Y),Z) | '>='(Y,'==>'(X,Z))),
% 5.54/1.35    inference(cnf_transformation,[],['sos_07_$sk'])).
% 5.54/1.35  cnf('8', plain, ('>='(X,'==>'('==>'(X,Y),Y))),
% 5.54/1.35    inference(resolution,[],['6','7'])).
% 5.54/1.35  cnf('9', plain, ('>='('==>'('==>'(X3,'1'),X3),'==>'('0',X3))),
% 5.54/1.35    inference(paramodulation,[],['1','8'])).
% 5.54/1.35  cnf('10', plain, ($sum(X,'0') = X),
% 5.54/1.35    inference(cnf_transformation,[],['sos_03_$sk'])).
% 5.54/1.35  cnf('11', plain, ($sum('0',X) = X),
% 5.54/1.35    inference(paramodulation,[],['2','10'])).
% 5.54/1.35  cnf('12', plain, ('>='('==>'('0',X),X)),
% 5.54/1.35    inference(paramodulation,[],['11','5'])).
% 5.54/1.35  cnf('13', plain, (~'>='(X,Y) | ~'>='(Y,X) | Y = X),
% 5.54/1.35    inference(cnf_transformation,[],['sos_06_$sk'])).
% 5.54/1.35  cnf('14', plain, ('>='(X,'==>'(Y,$sum(Y,X)))),
% 5.54/1.35    inference(resolution,[],['7','4'])).
% 5.54/1.35  cnf('15', plain, ('>='(X3,'==>'('0',X3))),
% 5.54/1.35    inference(paramodulation,[],['11','14'])).
% 5.54/1.35  cnf('16', plain, (X = '==>'('0',X)),
% 5.54/1.35    inference(resolution,[then_simplify],['12','13','15'])).
% 5.54/1.35  cnf('17', plain, ('>='('==>'('==>'(X,'1'),X),X)),
% 5.54/1.35    inference(simplify,[],['9','16'])).
% 5.54/1.35  cnf('18', plain, (~'>='(X,Y) | ~'>='(Z,X) | '>='(Z,Y)),
% 5.54/1.35    inference(cnf_transformation,[],['sos_05_$sk'])).
% 5.54/1.35  cnf('19', plain, (~'>='(X3,'==>'('0',Y3)) | '>='(X3,Y3)),
% 5.54/1.35    inference(resolution,[],['12','18'])).
% 5.54/1.35  cnf('20', plain, (~'>='(X,Y) | '>='(X,Y)),
% 5.54/1.35    inference(simplify,[],['19','16'])).
% 5.54/1.35  cnf('21', plain, ($sum(X,'1') = '1'),
% 5.54/1.35    inference(cnf_transformation,[],['sos_12_$sk'])).
% 5.54/1.35  cnf('22', plain, ($sum('1',X) = '1'),
% 5.54/1.35    inference(paramodulation,[],['2','21'])).
% 5.54/1.35  cnf('23', plain, ('>='($sum(X,Y),$sum(Z,Y)) | ~'>='(X,Z)),
% 5.54/1.35    inference(cnf_transformation,[],['sos_09_$sk'])).
% 5.54/1.35  cnf('24', plain, ('>='(X,'0')),
% 5.54/1.35    inference(cnf_transformation,[],['sos_08_$sk'])).
% 5.54/1.35  cnf('25', plain, ('>='($sum(X3,Y3),$sum('0',Y3))),
% 5.54/1.35    inference(resolution,[],['23','24'])).
% 5.54/1.35  cnf('26', plain, ('>='($sum(X,Y),Y)),
% 5.54/1.35    inference(simplify,[],['25','11'])).
% 5.54/1.35  cnf('27', plain, ('>='('1',X)),
% 5.54/1.35    inference(paramodulation,[],['22','26'])).
% 5.54/1.35  cnf('28', plain, (~'>='(X,'1') | X = '1'),
% 5.54/1.35    inference(resolution,[],['27','13'])).
% 5.54/1.35  cnf('29', plain, ($sum(X,'==>'(X,'1')) = '1'),
% 5.54/1.35    inference(resolution,[],['5','28'])).
% 5.54/1.35  cnf('30', plain, ($sum('==>'(X,'1'),X) = '1'),
% 5.54/1.35    inference(paramodulation,[],['29','2'])).
% 5.54/1.35  cnf('31', plain, ('>='('1',X3)),
% 5.54/1.35    inference(paramodulation,[],['22','26'])).
% 5.54/1.35  cnf('32', plain, ('>='(X,'==>'('==>'(X,'1'),Y))),
% 5.54/1.35    inference(paramodulation,[then_simplify],['30','7','31'])).
% 5.54/1.35  cnf('33', plain, ('>='(X3,'==>'('==>'(X3,'1'),Y3))),
% 5.54/1.35    inference(resolution,[],['20','32'])).
% 5.54/1.35  cnf('34', plain, (X = '==>'('==>'(X,'1'),X)),
% 5.54/1.35    inference(resolution,[then_simplify],['17','13','33'])).
% 5.54/1.35  cnf('35', plain, ('>='('==>'(X,Y),'==>'(X,Z)) | ~'>='(Y,Z)),
% 5.54/1.35    inference(cnf_transformation,[],['sos_11_$sk'])).
% 5.54/1.35  cnf('36', plain, ('>='('==>'(X,'1'),'==>'(X,Y))),
% 5.54/1.35    inference(resolution,[],['27','35'])).
% 5.54/1.35  cnf('37', plain, ('>='('==>'('==>'(X,'1'),'1'),X)),
% 5.54/1.35    inference(paramodulation,[],['34','36'])).
% 5.54/1.35  cnf('38', plain, ('>='($sum($sum(X,Y),Z),$sum(Y,Z))),
% 5.54/1.35    inference(resolution,[],['26','23'])).
% 5.54/1.35  cnf('39', plain, ('>='($sum(X,$sum(Y,Z)),$sum(Z,X))),
% 5.54/1.35    inference(paramodulation,[],['2','38'])).
% 5.54/1.35  cnf('40', plain, ('>='($sum(X,Y),$sum(Y,X))),
% 5.54/1.35    inference(paramodulation,[],['11','39'])).
% 5.54/1.35  cnf('41', plain, ('>='(X,'==>'(Y,$sum(X,Y)))),
% 5.54/1.35    inference(resolution,[],['7','40'])).
% 5.54/1.35  cnf('42', plain, ('>='(X3,'==>'('==>'(X3,'1'),'1'))),
% 5.54/1.35    inference(paramodulation,[],['29','41'])).
% 5.54/1.35  cnf('43', plain, (X = '==>'('==>'(X,'1'),'1')),
% 5.54/1.35    inference(resolution,[then_simplify],['37','13','42'])).
% 5.54/1.35  cnf('44', plain, ('==>'('==>'($sk1,'1'),'1') != $sk1),
% 5.54/1.35    inference(cnf_transformation,[],['goals_14_$sk'])).
% 5.54/1.35  cnf('45', plain, ($false),
% 5.54/1.35    inference(paramodulation,[],['43','44'])).
% 5.54/1.35  
% 5.54/1.35  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 5.54/1.35  
% 5.54/1.35  run 16 fork 7 statistics:
% 5.54/1.35  ----------------------------------
% 5.54/1.35  this run seconds: 0.051989
% 5.54/1.35  total seconds: 0.233083
% 5.54/1.35  stat_given_used: 151
% 5.54/1.35  stat_given_used_at_endgame: 0
% 5.54/1.35  stat_given_candidates:   888
% 5.54/1.35  stat_given_candidates_at_endgame: 0
% 5.54/1.35  stat_given_candidates_h: 0
% 5.54/1.35  stat_binres_derived_cl:   1315
% 5.54/1.35  stat_binres_derived_cl_h: 0
% 5.54/1.35  stat_factor_derived_cl: 2
% 5.54/1.35  stat_para_derived_cl: 3442
% 5.54/1.35  stat_tautologies_discarded: 10
% 5.54/1.35  stat_forward_subsumed: 2550
% 5.54/1.35  stat_derived_cut: 28
% 5.54/1.35  stat_derived_rewritten: 94
% 5.54/1.35  stat_weight_discarded_building: 0
% 5.54/1.35  stat_weight_discarded_cl: 0
% 5.54/1.35  stat_internlimit_discarded_cl: 0
% 5.54/1.35  stat_simplified:  94 simplified 0 derived 0 given
% 5.54/1.35  stat_kept_cl: 2041
% 5.54/1.35  stat_built_cl: 2437
% 5.54/1.35  stat_hyperres_partial_cl: 0
% 5.54/1.35  stat_made_rewriters: 31
% 5.54/1.35  stat_backward_subsumed: 0
% 5.54/1.35  stat_propagated_subsumed: 0
% 5.54/1.35  stat_clsubs_attempted:                      2861
% 5.54/1.35  stat_clsubs_fact_groundunit_found:             0
% 5.54/1.35  stat_clsubs_rule_groundunit_found:             1
% 5.54/1.35  stat_clsubs_top_meta_attempted:              16225
% 5.54/1.35  stat_clsubs_top_meta_failed:                 13364
% 5.54/1.35  stat_clsubs_top_meta_nonpref_attempted:               16225
% 5.54/1.35  stat_clsubs_top_meta_nonpref_succeeded:                6100
% 5.54/1.35  stat_clsubs_top_meta_pref_attempted:                   6100
% 5.54/1.35  stat_clsubs_top_meta_pref1_succeeded:                  4185
% 5.54/1.35  stat_clsubs_top_meta_pref2_succeeded:                  2941
% 5.54/1.35  stat_clsubs_top_meta_pref3_succeeded:                  2861
% 5.54/1.35  stat_clsubs_top_meta_pref_succeeded:                   2861
% 5.54/1.35  stat_clsubs_meta_attempted:                 2994
% 5.54/1.35  stat_clsubs_meta_failed:                      77
% 5.54/1.35  stat_clsubs_predsymbs_attempted:               0
% 5.54/1.35  stat_clsubs_unit_attempted:                 2647
% 5.54/1.35  stat_clsubs_full_attempted:                  214
% 5.54/1.35  stat_forwardsubs_attempted:                 4591
% 5.54/1.35  stat_lit_hash_added:                   2357
% 5.54/1.35  stat_lit_hash_computed:                8631
% 5.54/1.35  stat_lit_hash_match_found:             2941
% 5.54/1.35  stat_lit_hash_match_miss:              5860
% 5.54/1.35  stat_lit_hash_cut_ok:                    48
% 5.54/1.35  stat_lit_strong_cut_ok:                   7
% 5.54/1.35  stat_lit_hash_subsume_ok:              2550
% 5.54/1.35  clqueue els 10000000 used 1
% 5.54/1.35  clactive els 10000000 used 152
% 5.54/1.35  clactivesubsume els 10000000 used 853
% 5.54/1.35  queue_termbuf els 200000000 used 104236
% 5.54/1.35  hyper_termbuf els 100000000 used 1
% 5.54/1.35  active_termbuf els 100000000 used 4494
% 5.54/1.35  varstack els 5000 last used 1
% 5.54/1.35  given_termbuf els 10000000 last used 1
% 5.54/1.35  simplified_termbuf els 10000000 last used 1
% 5.54/1.35  derived_termbuf els 10000000 last used 22
% 5.54/1.35  wr_mallocs: 7372
% 5.54/1.35  wr_callocs: 21
% 5.54/1.35  wr_reallocs: 455
% 5.54/1.35  wr_frees: 2
% 5.54/1.35  wr_malloc_bytes: 4162846708
% 5.54/1.35  wr_calloc_bytes: 112065536
% 5.54/1.35  wr_realloc_bytes: 62592
% 5.54/1.35  wr_realloc_freebytes: 0
% 5.54/1.35  ----------------------------------
% 5.54/1.35  
% 5.54/1.35  
% 5.54/1.35  fork 0: search terminated without proof.
%------------------------------------------------------------------------------