TSTP Solution File: GRP186-3 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP186-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n005.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 00:53:13 EDT 2023
% Result : Unsatisfiable 6.54s 1.31s
% Output : CNFRefutation 6.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_left_inverse')
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
multiply(inverse(X),X) = identity,
inference(cnf_transformation,[],['$inc_left_inverse']) ).
cnf('2',plain,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
inference(cnf_transformation,[],['$inc_associativity']) ).
cnf('3',plain,
multiply(identity,X3) = multiply(inverse(Y3),multiply(Y3,X3)),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
multiply(identity,X) = X,
inference(cnf_transformation,[],['$inc_left_identity']) ).
cnf('5',plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference(simplify,[],['3','4']) ).
cnf('6',plain,
multiply(X,Y) = multiply(inverse(inverse(X)),Y),
inference(paramodulation,[],['5','5']) ).
cnf('7',plain,
multiply(X,inverse(X)) = identity,
inference(paramodulation,[],['6','1']) ).
cnf('8',plain,
multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
inference(cnf_transformation,[],['$inc_monotony_lub1']) ).
cnf('9',plain,
multiply(X,least_upper_bound(Y,inverse(X))) = least_upper_bound(multiply(X,Y),identity),
inference(paramodulation,[],['7','8']) ).
cnf('10',plain,
least_upper_bound(X,Y) = least_upper_bound(Y,X),
inference(cnf_transformation,[],['$inc_symmetry_of_lub']) ).
cnf('11',plain,
multiply(X3,least_upper_bound(Y3,Z3)) = least_upper_bound(multiply(X3,Z3),multiply(X3,Y3)),
inference(paramodulation,[],['8','10']) ).
cnf('12',plain,
multiply(X,least_upper_bound(Y,Z)) = multiply(X,least_upper_bound(Z,Y)),
inference(simplify,[],['11','8']) ).
cnf('13',plain,
least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
inference(cnf_transformation,[],[prove_p23x]) ).
cnf('14',plain,
$false,
inference(paramodulation,[then_simplify],['9','12','13']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP186-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.12 % Command : gkc %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 19:36:38 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.38
% 0.19/0.38 input clause set summed statistics:
% 0.19/0.38 ----------------------------------
% 0.19/0.38 in_clause_count: 16
% 0.19/0.38 in_rule_clause_count: 16
% 0.19/0.38 in_fact_clause_count: 0
% 0.19/0.38 in_answer_clause_count: 0
% 0.19/0.38 in_ground_clause_count: 1
% 0.19/0.38 in_unit_clause_count: 16
% 0.19/0.38 in_horn_clause_count: 16
% 0.19/0.38 in_pos_clause_count: 15
% 0.19/0.38 in_neg_clause_count: 1
% 0.19/0.38 in_poseq_clause_count: 15
% 0.19/0.38 in_negeq_clause_count: 1
% 0.19/0.38 in_unitposeq_clause_count: 15
% 0.19/0.38 in_chain_clause_count: 0
% 0.19/0.38 in_min_length: 1
% 0.19/0.38 in_max_length: 1
% 0.19/0.38 in_min_depth: 2
% 0.19/0.38 in_max_depth: 4
% 0.19/0.38 in_min_size: 5
% 0.19/0.38 in_max_size: 13
% 0.19/0.38 in_min_vars: 0
% 0.19/0.38 in_max_vars: 3
% 0.19/0.38 in_extaxiom_count: 15
% 0.19/0.38 in_axiom_count: 0
% 0.19/0.38 in_assumption_count: 0
% 0.19/0.38 in_goal_count: 1
% 0.19/0.38 in_neg_goal_count: 1
% 0.19/0.38 in_pos_goal_count: 0
% 0.19/0.38 in_posunit_goal_count: 0
% 0.19/0.38
% 0.19/0.38 auto guide:
% 0.19/0.38 -----------
% 0.19/0.38 {
% 0.19/0.38 "print":1,
% 0.19/0.38 "print_level": 15,
% 0.19/0.38 "max_size": 0,
% 0.19/0.38 "max_depth": 0,
% 0.19/0.38 "max_length": 0,
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% 0.19/0.38 "runs":[
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% 0.19/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
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% 0.19/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.19/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
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% 0.19/0.38 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
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% 0.19/0.38 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.19/0.38 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.19/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
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% 0.19/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.19/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1},
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% 0.19/0.38
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% 0.19/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.19/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.19/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.19/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.19/0.38 {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 0},
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% 0.19/0.38 {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
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% 0.19/0.38
% 0.19/0.38 ]}
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% 0.19/0.38 **** run 1 fork 0 starts with strategy
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% 0.19/0.38 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}{"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}{"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
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% 0.19/0.53 **** run 13 fork 4 starts with strategy
% 0.19/0.53 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
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% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
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% 0.19/0.54 **** run 10 fork 1 starts with strategy
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% 0.19/0.54 {"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}
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
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% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.54
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% 0.19/0.54 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
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% 0.19/0.67 **** run 21 fork 4 starts with strategy
% 0.19/0.67 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.67
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% 0.19/0.67 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
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% 0.19/0.67 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
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% 0.19/0.68 {"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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% 0.19/0.68 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
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% 3.50/0.82 **** run 29 fork 4 starts with strategy
% 3.50/0.82 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
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% 3.50/0.83 **** run 31 fork 6 starts with strategy
% 3.50/0.83 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 3.62/0.84
% 3.62/0.84 **** run 26 fork 1 starts with strategy
% 3.62/0.84 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
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% 3.62/0.84 **** run 28 fork 3 starts with strategy
% 3.62/0.84 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1}
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% 3.62/0.84 fork 0: search terminated without proof.
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% 3.62/0.85 **** run 32 fork 7 starts with strategy
% 3.62/0.85 {"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}
% 3.62/0.86
% 3.62/0.86 **** run 27 fork 2 starts with strategy
% 3.62/0.86 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 3.62/0.86
% 3.62/0.86 **** run 25 fork 0 starts with strategy
% 3.62/0.86 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
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% 4.27/0.96 **** run 37 fork 4 starts with strategy
% 4.27/0.96 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
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% 4.27/0.97 **** run 38 fork 5 starts with strategy
% 4.27/0.97 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"rewrite":0}
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% 4.27/0.97 **** run 39 fork 6 starts with strategy
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% 4.78/0.98 fork 7: search terminated without proof.
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% 4.78/0.98 **** run 34 fork 1 starts with strategy
% 4.78/0.98 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
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% 4.78/0.99 **** run 36 fork 3 starts with strategy
% 4.78/0.99 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 4.78/1.00
% 4.78/1.00 **** run 40 fork 7 starts with strategy
% 4.78/1.00 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 4.78/1.01
% 4.78/1.01 **** run 35 fork 2 starts with strategy
% 4.78/1.01 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 4.78/1.01
% 4.78/1.01 **** run 33 fork 0 starts with strategy
% 4.78/1.01 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 5.44/1.08
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% 5.44/1.08 fork 4: search terminated without proof.
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% 5.60/1.10 **** run 45 fork 4 starts with strategy
% 5.60/1.10 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 5.60/1.11
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% 5.60/1.11 fork 3: search terminated without proof.
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% 5.60/1.11 **** run 46 fork 5 starts with strategy
% 5.60/1.11 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":2}
% 5.60/1.12
% 5.60/1.12 **** run 47 fork 6 starts with strategy
% 5.60/1.12 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
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% 5.87/1.13 **** run 44 fork 3 starts with strategy
% 5.87/1.13 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
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% 5.97/1.14 **** run 48 fork 7 starts with strategy
% 5.97/1.14 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6}
% 5.97/1.15
% 5.97/1.15 **** run 43 fork 2 starts with strategy
% 5.97/1.15 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 5.97/1.16
% 5.97/1.16 **** run 54 fork 5 starts with strategy
% 5.97/1.16 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":20,"weight_select_ratio":2}
% 5.97/1.16
% 5.97/1.16 **** run 41 fork 0 starts with strategy
% 5.97/1.16 {"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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% 5.97/1.22 fork 4: search terminated without proof.
% 5.97/1.24
% 5.97/1.24 **** run 53 fork 4 starts with strategy
% 5.97/1.24 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":20}
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% 5.97/1.24 fork 6: search terminated without proof.
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% 5.97/1.26 **** run 55 fork 6 starts with strategy
% 5.97/1.26 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":30}
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% 5.97/1.26 fork 7: search terminated without proof.
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% 5.97/1.27 fork 5: search terminated without proof.
% 6.54/1.28
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% 6.54/1.28 fork 0: search terminated without proof.
% 6.54/1.28
% 6.54/1.28 **** run 56 fork 7 starts with strategy
% 6.54/1.28 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":40}
% 6.54/1.29
% 6.54/1.29 **** run 62 fork 5 starts with strategy
% 6.54/1.29 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0}
% 6.54/1.30
% 6.54/1.30 **** run 49 fork 0 starts with strategy
% 6.54/1.30 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":8}
% 6.54/1.31
% 6.54/1.31
% 6.54/1.31 result: proof found
% 6.54/1.31 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.54/1.31 by run 34 fork 1 strategy {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 6.54/1.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.54/1.31
% 6.54/1.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.54/1.31
% 6.54/1.31 run 34 fork 1 statistics:
% 6.54/1.31 ----------------------------------
% 6.54/1.31 this run seconds: 0.087202
% 6.54/1.31 total seconds: 0.702572
% 6.54/1.31 stat_given_used: 211
% 6.54/1.31 stat_given_used_at_endgame: 0
% 6.54/1.31 stat_given_candidates: 1435
% 6.54/1.31 stat_given_candidates_at_endgame: 0
% 6.54/1.31 stat_given_candidates_h: 0
% 6.54/1.31 stat_binres_derived_cl: 0
% 6.54/1.31 stat_binres_derived_cl_h: 0
% 6.54/1.31 stat_factor_derived_cl: 0
% 6.54/1.31 stat_para_derived_cl: 17945
% 6.54/1.31 stat_tautologies_discarded: 0
% 6.54/1.31 stat_forward_subsumed: 1800
% 6.54/1.31 stat_derived_cut: 1
% 6.54/1.31 stat_derived_rewritten: 108
% 6.54/1.31 stat_weight_discarded_building: 0
% 6.54/1.31 stat_weight_discarded_cl: 4631
% 6.54/1.31 stat_internlimit_discarded_cl: 0
% 6.54/1.31 stat_simplified: 108 simplified 0 derived 0 given
% 6.54/1.31 stat_kept_cl: 10661
% 6.54/1.31 stat_built_cl: 15822
% 6.54/1.31 stat_hyperres_partial_cl: 0
% 6.54/1.31 stat_made_rewriters: 191
% 6.54/1.31 stat_backward_subsumed: 0
% 6.54/1.31 stat_propagated_subsumed: 0
% 6.54/1.31 stat_clsubs_attempted: 3610
% 6.54/1.31 stat_clsubs_fact_groundunit_found: 0
% 6.54/1.31 stat_clsubs_rule_groundunit_found: 1
% 6.54/1.31 stat_clsubs_top_meta_attempted: 27679
% 6.54/1.31 stat_clsubs_top_meta_failed: 24069
% 6.54/1.31 stat_clsubs_top_meta_nonpref_attempted: 27679
% 6.54/1.31 stat_clsubs_top_meta_nonpref_succeeded: 8716
% 6.54/1.31 stat_clsubs_top_meta_pref_attempted: 8716
% 6.54/1.31 stat_clsubs_top_meta_pref1_succeeded: 8716
% 6.54/1.31 stat_clsubs_top_meta_pref2_succeeded: 4577
% 6.54/1.31 stat_clsubs_top_meta_pref3_succeeded: 3610
% 6.54/1.31 stat_clsubs_top_meta_pref_succeeded: 3610
% 6.54/1.31 stat_clsubs_meta_attempted: 3610
% 6.54/1.31 stat_clsubs_meta_failed: 45
% 6.54/1.31 stat_clsubs_predsymbs_attempted: 0
% 6.54/1.31 stat_clsubs_unit_attempted: 3610
% 6.54/1.31 stat_clsubs_full_attempted: 0
% 6.54/1.31 stat_forwardsubs_attempted: 17093
% 6.54/1.31 stat_lit_hash_added: 10679
% 6.54/1.31 stat_lit_hash_computed: 28105
% 6.54/1.31 stat_lit_hash_match_found: 1828
% 6.54/1.31 stat_lit_hash_match_miss: 30999
% 6.54/1.31 stat_lit_hash_cut_ok: 0
% 6.54/1.31 stat_lit_strong_cut_ok: 1
% 6.54/1.31 stat_lit_hash_subsume_ok: 1800
% 6.54/1.31 clqueue els 10000000 used 1
% 6.54/1.31 clactive els 10000000 used 212
% 6.54/1.31 clactivesubsume els 10000000 used 1255
% 6.54/1.31 queue_termbuf els 200000000 used 814911
% 6.54/1.31 hyper_termbuf els 100000000 used 1
% 6.54/1.31 active_termbuf els 100000000 used 8947
% 6.54/1.31 varstack els 5000 last used 1
% 6.54/1.31 given_termbuf els 10000000 last used 1
% 6.54/1.31 simplified_termbuf els 10000000 last used 1
% 6.54/1.31 derived_termbuf els 10000000 last used 57
% 6.54/1.31 wr_mallocs: 40635
% 6.54/1.31 wr_callocs: 21
% 6.54/1.31 wr_reallocs: 1306
% 6.54/1.31 wr_frees: 2
% 6.54/1.31 wr_malloc_bytes: 4164032996
% 6.54/1.31 wr_calloc_bytes: 112065536
% 6.54/1.31 wr_realloc_bytes: 310768
% 6.54/1.31 wr_realloc_freebytes: 0
% 6.54/1.31 ----------------------------------
%------------------------------------------------------------------------------