TSTP Solution File: COL044-8 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL044-8 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:27:03 EDT 2023
% Result : Unsatisfiable 7.83s 1.58s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named n_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(apply(apply(n,X),Y),Z) = apply(apply(apply(X,Z),Y),Z),
inference(cnf_transformation,[],[n_definition]) ).
cnf('2',plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),b)),b),
inference(cnf_transformation,[],[strong_fixed_point]) ).
cnf('3',plain,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(cnf_transformation,[],[b_definition]) ).
cnf('4',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n)),b),apply(b,X3)),
inference(paramodulation,[],['2','3']) ).
cnf('5',plain,
apply(strong_fixed_point,X) = apply(apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))))),n),apply(b,apply(b,X))),
inference(simplify,[],['4','3']) ).
cnf('6',plain,
apply(strong_fixed_point,X) = apply(apply(apply(apply(n,apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n)))),apply(b,apply(b,X))),n),apply(b,apply(b,X))),
inference(paramodulation,[],['5','1']) ).
cnf('7',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(apply(apply(apply(b,apply(b,b)),apply(n,apply(apply(b,b),n))),n),apply(b,apply(b,X3))),n),apply(b,apply(b,X3))),
inference(paramodulation,[],['1','6']) ).
cnf('8',plain,
apply(strong_fixed_point,X) = apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,X))),apply(n,apply(b,apply(b,X)))),
inference(simplify,[then_simplify],['7','3','3','3']) ).
cnf('9',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(apply(apply(apply(b,b),n),apply(b,apply(b,X3))),n),apply(b,apply(b,X3))),apply(n,apply(b,apply(b,X3)))),
inference(paramodulation,[],['1','8']) ).
cnf('10',plain,
apply(strong_fixed_point,X) = apply(apply(apply(n,apply(b,apply(b,X))),apply(n,apply(b,apply(b,X)))),apply(n,apply(b,apply(b,X)))),
inference(simplify,[then_simplify],['9','3','3']) ).
cnf('11',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(apply(b,apply(b,X3)),apply(n,apply(b,apply(b,X3)))),apply(n,apply(b,apply(b,X3)))),apply(n,apply(b,apply(b,X3)))),
inference(paramodulation,[],['10','1']) ).
cnf('12',plain,
apply(strong_fixed_point,X) = apply(X,apply(strong_fixed_point,X)),
inference(simplify,[then_simplify],['11','3','3','10']) ).
cnf('13',plain,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(cnf_transformation,[],[prove_strong_fixed_point]) ).
cnf('14',plain,
$false,
inference(resolution,[],['12','13']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL044-8 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 04:32:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.39
% 0.20/0.39 input clause set summed statistics:
% 0.20/0.39 ----------------------------------
% 0.20/0.39 in_clause_count: 4
% 0.20/0.39 in_rule_clause_count: 4
% 0.20/0.39 in_fact_clause_count: 0
% 0.20/0.39 in_answer_clause_count: 0
% 0.20/0.39 in_ground_clause_count: 2
% 0.20/0.39 in_unit_clause_count: 4
% 0.20/0.39 in_horn_clause_count: 4
% 0.20/0.39 in_pos_clause_count: 3
% 0.20/0.39 in_neg_clause_count: 1
% 0.20/0.39 in_poseq_clause_count: 3
% 0.20/0.39 in_negeq_clause_count: 1
% 0.20/0.39 in_unitposeq_clause_count: 3
% 0.20/0.39 in_chain_clause_count: 0
% 0.20/0.39 in_min_length: 1
% 0.20/0.39 in_max_length: 1
% 0.20/0.39 in_min_depth: 3
% 0.20/0.39 in_max_depth: 12
% 0.20/0.39 in_min_size: 9
% 0.20/0.39 in_max_size: 29
% 0.20/0.39 in_min_vars: 0
% 0.20/0.39 in_max_vars: 3
% 0.20/0.39 in_extaxiom_count: 0
% 0.20/0.39 in_axiom_count: 3
% 0.20/0.39 in_assumption_count: 0
% 0.20/0.39 in_goal_count: 1
% 0.20/0.39 in_neg_goal_count: 1
% 0.20/0.39 in_pos_goal_count: 0
% 0.20/0.39 in_posunit_goal_count: 0
% 0.20/0.39
% 0.20/0.39 auto guide:
% 0.20/0.39 -----------
% 0.20/0.39 {
% 0.20/0.39 "print":1,
% 0.20/0.39 "print_level": 15,
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% 0.20/0.53 **** run 13 fork 4 starts with strategy
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% 0.20/0.54 **** run 14 fork 5 starts with strategy
% 0.20/0.54 {"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}
% 0.20/0.54
% 0.20/0.54 **** run 15 fork 6 starts with strategy
% 0.20/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.54
% 0.20/0.54 **** run 11 fork 2 starts with strategy
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% 0.20/0.66 **** run 21 fork 4 starts with strategy
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% 0.20/0.67
% 0.20/0.67 **** run 23 fork 6 starts with strategy
% 0.20/0.67 {"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}
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% 0.20/0.68 **** run 20 fork 3 starts with strategy
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% 0.20/0.72 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
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% 0.20/0.74 **** run 17 fork 0 starts with strategy
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% 0.20/0.74 fork 7: search terminated without proof.
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% 0.20/0.81 **** run 28 fork 3 starts with strategy
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% 0.20/0.81
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% 0.20/0.82 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
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% 0.20/0.82 {"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}
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% 0.20/0.89 **** run 25 fork 0 starts with strategy
% 0.20/0.89 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.90
% 0.20/0.90 **** run 32 fork 7 starts with strategy
% 0.20/0.90 {"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}
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% 2.52/0.94 **** run 27 fork 2 starts with strategy
% 2.52/0.94 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
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% 2.52/0.94 **** run 37 fork 4 starts with strategy
% 2.52/0.94 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
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% 2.52/0.96 **** run 36 fork 3 starts with strategy
% 2.52/0.96 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
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% 2.52/0.96 **** run 38 fork 5 starts with strategy
% 2.52/0.96 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"rewrite":0}
% 2.52/0.96
% 2.52/0.96 **** run 39 fork 6 starts with strategy
% 2.52/0.96 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":2}
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% 4.69/1.02 **** run 33 fork 0 starts with strategy
% 4.69/1.02 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 4.87/1.04
% 4.87/1.04 **** run 34 fork 1 starts with strategy
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% 4.87/1.08 **** run 45 fork 4 starts with strategy
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% 4.87/1.09 **** run 35 fork 2 starts with strategy
% 4.87/1.09 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
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% 4.87/1.10 **** run 47 fork 6 starts with strategy
% 4.87/1.10 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
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% 4.87/1.10 **** run 44 fork 3 starts with strategy
% 4.87/1.10 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
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% 4.87/1.11 **** run 46 fork 5 starts with strategy
% 4.87/1.11 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":2}
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% 5.55/1.12 fork 7: search terminated without proof.
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% 5.55/1.13 fork 6: search finished without proof.
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% 5.55/1.14 **** run 40 fork 7 starts with strategy
% 5.55/1.14 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
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% 5.55/1.15 fork 5: search finished without proof.
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% 5.55/1.15 **** run 55 fork 6 starts with strategy
% 5.55/1.15 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":30}
% 5.55/1.16
% 5.55/1.16 **** run 54 fork 5 starts with strategy
% 5.55/1.16 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":20,"weight_select_ratio":2}
% 5.55/1.17
% 5.55/1.17 **** run 41 fork 0 starts with strategy
% 5.55/1.17 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
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% 5.55/1.18 fork 1: search terminated without proof.
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% 6.01/1.20 **** run 42 fork 1 starts with strategy
% 6.01/1.20 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":0}
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% 6.01/1.21 fork 4: search terminated without proof.
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% 6.01/1.22 **** run 53 fork 4 starts with strategy
% 6.01/1.22 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":20}
% 6.01/1.23
% 6.01/1.23 **** run 43 fork 2 starts with strategy
% 6.01/1.23 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
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% 6.01/1.24 **** run 52 fork 3 starts with strategy
% 6.01/1.24 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":15}
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% 6.60/1.26 fork 7: search terminated without proof.
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% 6.60/1.27 fork 3: search finished without proof.
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% 6.71/1.27 fork 6: search terminated without proof.
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% 6.71/1.27 fork 5: search finished without proof.
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% 6.71/1.28 **** run 48 fork 7 starts with strategy
% 6.71/1.28 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6}
% 6.71/1.28
% 6.71/1.28 **** run 60 fork 3 starts with strategy
% 6.71/1.28 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 6.71/1.29
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% 6.71/1.29 fork 0: search terminated without proof.
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% 6.71/1.29 **** run 63 fork 6 starts with strategy
% 6.71/1.29 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1}
% 6.71/1.29
% 6.71/1.29 **** run 62 fork 5 starts with strategy
% 6.71/1.29 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0}
% 7.02/1.31
% 7.02/1.31 **** run 49 fork 0 starts with strategy
% 7.02/1.31 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":8}
% 7.02/1.32
% 7.02/1.32 fork 4: search finished without proof.
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% 7.02/1.32 fork 1: search terminated without proof.
% 7.02/1.33
% 7.02/1.33 **** run 61 fork 4 starts with strategy
% 7.02/1.33 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100}
% 7.21/1.34
% 7.21/1.34 **** run 50 fork 1 starts with strategy
% 7.21/1.34 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":10}
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% 7.21/1.37 **** run 51 fork 2 starts with strategy
% 7.21/1.37 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":10}
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% 7.21/1.42 **** run 59 fork 2 starts with strategy
% 7.21/1.42 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50}
% 7.83/1.43
% 7.83/1.43 **** run 68 fork 3 starts with strategy
% 7.83/1.43 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 7.83/1.43
% 7.83/1.43 **** run 56 fork 7 starts with strategy
% 7.83/1.43 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":40}
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% 7.83/1.43 fork 0: search terminated without proof.
% 7.83/1.44
% 7.83/1.44 **** run 70 fork 5 starts with strategy
% 7.83/1.44 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
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% 7.83/1.45 fork 4: search terminated without proof.
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% 7.83/1.46 **** run 57 fork 0 starts with strategy
% 7.83/1.46 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1}
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% 7.83/1.47 fork 1: search terminated without proof.
% 7.83/1.47
% 7.83/1.47 **** run 69 fork 4 starts with strategy
% 7.83/1.47 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 7.83/1.50
% 7.83/1.50 **** run 58 fork 1 starts with strategy
% 7.83/1.50 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"repeat_var_weight":1}
% 7.83/1.54
% 7.83/1.54
% 7.83/1.54 fork 7: search terminated without proof.
% 7.83/1.54
% 7.83/1.54
% 7.83/1.54 fork 2: search terminated without proof.
% 7.83/1.56
% 7.83/1.56 **** run 64 fork 7 starts with strategy
% 7.83/1.56 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20}
% 7.83/1.56
% 7.83/1.56 **** run 67 fork 2 starts with strategy
% 7.83/1.56 {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 7.83/1.58
% 7.83/1.58
% 7.83/1.58 result: proof found
% 7.83/1.58 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.83/1.58 by run 63 fork 6 strategy {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1}
% 7.83/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.83/1.58
% 7.83/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.83/1.58
% 7.83/1.58 run 63 fork 6 statistics:
% 7.83/1.58 ----------------------------------
% 7.83/1.58 this run seconds: 0.006779
% 7.83/1.58 total seconds: 0.929443
% 7.83/1.58 stat_given_used: 15
% 7.83/1.58 stat_given_used_at_endgame: 0
% 7.83/1.58 stat_given_candidates: 45
% 7.83/1.58 stat_given_candidates_at_endgame: 0
% 7.83/1.58 stat_given_candidates_h: 0
% 7.83/1.58 stat_binres_derived_cl: 1
% 7.83/1.58 stat_binres_derived_cl_h: 0
% 7.83/1.58 stat_factor_derived_cl: 0
% 7.83/1.58 stat_para_derived_cl: 110
% 7.83/1.58 stat_tautologies_discarded: 0
% 7.83/1.58 stat_forward_subsumed: 11
% 7.83/1.58 stat_derived_cut: 0
% 7.83/1.58 stat_derived_rewritten: 4
% 7.83/1.58 stat_weight_discarded_building: 0
% 7.83/1.58 stat_weight_discarded_cl: 0
% 7.83/1.58 stat_internlimit_discarded_cl: 0
% 7.83/1.58 stat_simplified: 4 simplified 0 derived 0 given
% 7.83/1.58 stat_kept_cl: 71
% 7.83/1.58 stat_built_cl: 105
% 7.83/1.58 stat_hyperres_partial_cl: 0
% 7.83/1.58 stat_made_rewriters: 13
% 7.83/1.58 stat_backward_subsumed: 0
% 7.83/1.58 stat_propagated_subsumed: 0
% 7.83/1.58 stat_clsubs_attempted: 21
% 7.83/1.58 stat_clsubs_fact_groundunit_found: 0
% 7.83/1.58 stat_clsubs_rule_groundunit_found: 1
% 7.83/1.58 stat_clsubs_top_meta_attempted: 75
% 7.83/1.58 stat_clsubs_top_meta_failed: 54
% 7.83/1.58 stat_clsubs_top_meta_nonpref_attempted: 75
% 7.83/1.58 stat_clsubs_top_meta_nonpref_succeeded: 35
% 7.83/1.58 stat_clsubs_top_meta_pref_attempted: 35
% 7.83/1.58 stat_clsubs_top_meta_pref1_succeeded: 35
% 7.83/1.58 stat_clsubs_top_meta_pref2_succeeded: 35
% 7.83/1.58 stat_clsubs_top_meta_pref3_succeeded: 21
% 7.83/1.58 stat_clsubs_top_meta_pref_succeeded: 21
% 7.83/1.58 stat_clsubs_meta_attempted: 21
% 7.83/1.58 stat_clsubs_meta_failed: 2
% 7.83/1.58 stat_clsubs_predsymbs_attempted: 0
% 7.83/1.58 stat_clsubs_unit_attempted: 21
% 7.83/1.58 stat_clsubs_full_attempted: 0
% 7.83/1.58 stat_forwardsubs_attempted: 82
% 7.83/1.58 stat_lit_hash_added: 79
% 7.83/1.58 stat_lit_hash_computed: 183
% 7.83/1.58 stat_lit_hash_match_found: 12
% 7.83/1.58 stat_lit_hash_match_miss: 167
% 7.83/1.58 stat_lit_hash_cut_ok: 0
% 7.83/1.58 stat_lit_strong_cut_ok: 0
% 7.83/1.58 stat_lit_hash_subsume_ok: 11
% 7.83/1.58 clqueue els 10000000 used 1
% 7.83/1.58 clactive els 10000000 used 16
% 7.83/1.58 clactivesubsume els 10000000 used 67
% 7.83/1.58 queue_termbuf els 200000000 used 12528
% 7.83/1.58 hyper_termbuf els 100000000 used 1
% 7.83/1.58 active_termbuf els 100000000 used 1614
% 7.83/1.58 varstack els 5000 last used 1
% 7.83/1.58 given_termbuf els 10000000 last used 35
% 7.83/1.58 simplified_termbuf els 10000000 last used 1
% 7.83/1.58 derived_termbuf els 10000000 last used 3
% 7.83/1.58 wr_mallocs: 862
% 7.83/1.58 wr_callocs: 21
% 7.83/1.58 wr_reallocs: 1
% 7.83/1.58 wr_frees: 2
% 7.83/1.58 wr_malloc_bytes: 4162607060
% 7.83/1.58 wr_calloc_bytes: 112065536
% 7.83/1.58 wr_realloc_bytes: 72
% 7.83/1.58 wr_realloc_freebytes: 0
% 7.83/1.58 ----------------------------------
%------------------------------------------------------------------------------