TSTP Solution File: GRP402-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP402-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n010.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 00:54:02 EDT 2023

% Result   : Unsatisfiable 0.22s 0.47s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named commutator)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    multiply(X,Y) = multiply(Y,multiply(X,commutator(X,Y))),
    inference(cnf_transformation,[],[commutator]) ).

cnf('2',plain,
    ( multiply(X,Y) != multiply(X,Z)
    | Y = Z ),
    inference(cnf_transformation,[],['$inc_left_cancellation']) ).

cnf('3',plain,
    ( multiply(X,commutator(X,Y)) = Z
    | multiply(X,Y) != multiply(Y,Z) ),
    inference(paramodulation,[],['1','2']) ).

cnf('4',plain,
    multiply(commutator(X,Y),Z) = multiply(Z,commutator(X,Y)),
    inference(cnf_transformation,[],[nilpotency]) ).

cnf('5',plain,
    multiply(commutator(X,Y),commutator(commutator(X,Y),Z)) = commutator(X,Y),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    commutator(commutator(a,b),c) != commutator(a,commutator(b,c)),
    inference(cnf_transformation,[],[prove_commutator_is_associative]) ).

cnf('7',plain,
    multiply(X,commutator(commutator(a,b),c)) != multiply(X,commutator(a,commutator(b,c))),
    inference(resolution,[],['2','6']) ).

cnf('8',plain,
    multiply(X,commutator(Y,Z)) = multiply(multiply(X,commutator(X,commutator(Y,Z))),commutator(Y,Z)),
    inference(paramodulation,[],['1','4']) ).

cnf('9',plain,
    ( multiply(X,Y) != multiply(Z,Y)
    | X = Z ),
    inference(cnf_transformation,[],['$inc_right_cancellation']) ).

cnf('10',plain,
    X = multiply(X,commutator(X,commutator(Y,Z))),
    inference(resolution,[],['8','9']) ).

cnf('11',plain,
    multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
    inference(cnf_transformation,[],['$inc_associativity_of_multiply']) ).

cnf('12',plain,
    multiply(X,Y) = multiply(X,multiply(commutator(X,commutator(Z,U)),Y)),
    inference(paramodulation,[],['10','11']) ).

cnf('13',plain,
    X = multiply(commutator(Y,commutator(Z,U)),X),
    inference(resolution,[],['12','2']) ).

cnf('14',plain,
    X3 = multiply(X3,commutator(Y3,commutator(Z3,U3))),
    inference(paramodulation,[],['13','4']) ).

cnf('15',plain,
    $false,
    inference(paramodulation,[then_simplify],['5','7','14']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GRP402-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15  % Command  : gkc %s
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 21:00:34 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.22/0.41  
% 0.22/0.41  input clause set summed statistics:
% 0.22/0.41  ----------------------------------
% 0.22/0.41  in_clause_count:                     6
% 0.22/0.41  in_rule_clause_count:                6
% 0.22/0.41  in_fact_clause_count:                0
% 0.22/0.41  in_answer_clause_count:              0
% 0.22/0.41  in_ground_clause_count:              1
% 0.22/0.41  in_unit_clause_count:                4
% 0.22/0.41  in_horn_clause_count:                6
% 0.22/0.41  in_pos_clause_count:                 3
% 0.22/0.41  in_neg_clause_count:                 1
% 0.22/0.41  in_poseq_clause_count:               5
% 0.22/0.41  in_negeq_clause_count:               3
% 0.22/0.41  in_unitposeq_clause_count:           3
% 0.22/0.41  in_chain_clause_count:               0
% 0.22/0.41  in_min_length:             1
% 0.22/0.41  in_max_length:             2
% 0.22/0.41  in_min_depth:              2
% 0.22/0.41  in_max_depth:              4
% 0.22/0.41  in_min_size:              10
% 0.22/0.41  in_max_size:              11
% 0.22/0.41  in_min_vars:               0
% 0.22/0.41  in_max_vars:               3
% 0.22/0.41  in_extaxiom_count:                 3
% 0.22/0.41  in_axiom_count:                    2
% 0.22/0.41  in_assumption_count:               0
% 0.22/0.41  in_goal_count:                     1
% 0.22/0.41  in_neg_goal_count:                 1
% 0.22/0.41  in_pos_goal_count:                 0
% 0.22/0.41  in_posunit_goal_count:             0
% 0.22/0.41  
% 0.22/0.41  auto guide:
% 0.22/0.41  -----------
% 0.22/0.41  {
% 0.22/0.41  "print":1,
% 0.22/0.41  "print_level": 15,
% 0.22/0.41  "max_size": 0,
% 0.22/0.41  "max_depth": 0,
% 0.22/0.41  "max_length": 0,
% 0.22/0.41  "max_dseconds": 0,
% 0.22/0.41  "runs":[
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.41  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.41  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.41  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.41  {"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},
% 0.22/0.41  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.41  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.41  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.22/0.41  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.41  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.41  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.22/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.22/0.41  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.22/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.41  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.41  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.41  
% 0.22/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.41  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
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% 0.22/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
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% 0.22/0.41  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.22/0.41  
% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
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% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
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% 0.22/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.41  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
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% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.41  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.22/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.41  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.22/0.41  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.22/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.41  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.41  {"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":50},
% 0.22/0.41  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.41  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.41  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.22/0.41  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.22/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.22/0.41  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.22/0.41  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.41  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.22/0.41  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.41  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.22/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.22/0.41  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.22/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.41  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.22/0.41  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.41  
% 0.22/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.41  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.22/0.41  
% 0.22/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.41  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.41  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.41  {"max_dseconds":1250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0} 
% 0.22/0.41  
% 0.22/0.41  ]}
% 0.22/0.41  
% 0.22/0.41  
% 0.22/0.41  **** run 1 fork 0 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.41  
% 0.22/0.41  **** run 2 fork 1 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.41  
% 0.22/0.41  **** run 3 fork 2 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.41  
% 0.22/0.41  **** run 4 fork 3 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 0.22/0.41  
% 0.22/0.41  **** run 5 fork 4 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.41  
% 0.22/0.41  **** run 6 fork 5 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.41  
% 0.22/0.41  **** run 7 fork 6 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.41  
% 0.22/0.41  **** run 8 fork 7 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.47  
% 0.22/0.47  
% 0.22/0.47  result: proof found
% 0.22/0.47  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.22/0.47  by run 7 fork 6 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.22/0.47  
% 0.22/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.22/0.47  
% 0.22/0.47  run 7 fork 6 statistics:
% 0.22/0.47  ----------------------------------
% 0.22/0.47  this run seconds: 0.025026
% 0.22/0.47  total seconds: 0.050674
% 0.22/0.47  stat_given_used: 37
% 0.22/0.47  stat_given_used_at_endgame: 0
% 0.22/0.47  stat_given_candidates:   109
% 0.22/0.47  stat_given_candidates_at_endgame: 0
% 0.22/0.47  stat_given_candidates_h: 0
% 0.22/0.47  stat_binres_derived_cl:   87
% 0.22/0.47  stat_binres_derived_cl_h: 0
% 0.22/0.47  stat_factor_derived_cl: 5
% 0.22/0.47  stat_para_derived_cl: 911
% 0.22/0.47  stat_tautologies_discarded: 6
% 0.22/0.47  stat_forward_subsumed: 125
% 0.22/0.47  stat_derived_cut: 1
% 0.22/0.47  stat_derived_rewritten: 3
% 0.22/0.47  stat_weight_discarded_building: 0
% 0.22/0.47  stat_weight_discarded_cl: 0
% 0.22/0.47  stat_internlimit_discarded_cl: 0
% 0.22/0.47  stat_simplified:  3 simplified 0 derived 0 given
% 0.22/0.47  stat_kept_cl: 736
% 0.22/0.47  stat_built_cl: 813
% 0.22/0.47  stat_hyperres_partial_cl: 0
% 0.22/0.47  stat_made_rewriters: 22
% 0.22/0.47  stat_backward_subsumed: 0
% 0.22/0.47  stat_propagated_subsumed: 0
% 0.22/0.47  stat_clsubs_attempted:                       156
% 0.22/0.47  stat_clsubs_fact_groundunit_found:             0
% 0.22/0.47  stat_clsubs_rule_groundunit_found:             1
% 0.22/0.47  stat_clsubs_top_meta_attempted:                699
% 0.22/0.47  stat_clsubs_top_meta_failed:                   543
% 0.22/0.47  stat_clsubs_top_meta_nonpref_attempted:                 699
% 0.22/0.47  stat_clsubs_top_meta_nonpref_succeeded:                 228
% 0.22/0.47  stat_clsubs_top_meta_pref_attempted:                    228
% 0.22/0.47  stat_clsubs_top_meta_pref1_succeeded:                   201
% 0.22/0.47  stat_clsubs_top_meta_pref2_succeeded:                   168
% 0.22/0.47  stat_clsubs_top_meta_pref3_succeeded:                   156
% 0.22/0.47  stat_clsubs_top_meta_pref_succeeded:                    156
% 0.22/0.47  stat_clsubs_meta_attempted:                  179
% 0.22/0.47  stat_clsubs_meta_failed:                      43
% 0.22/0.47  stat_clsubs_predsymbs_attempted:               0
% 0.22/0.47  stat_clsubs_unit_attempted:                  122
% 0.22/0.47  stat_clsubs_full_attempted:                   34
% 0.22/0.47  stat_forwardsubs_attempted:                  862
% 0.22/0.47  stat_lit_hash_added:                    998
% 0.22/0.47  stat_lit_hash_computed:                2206
% 0.22/0.47  stat_lit_hash_match_found:              127
% 0.22/0.47  stat_lit_hash_match_miss:              2099
% 0.22/0.47  stat_lit_hash_cut_ok:                     0
% 0.22/0.47  stat_lit_strong_cut_ok:                   1
% 0.22/0.47  stat_lit_hash_subsume_ok:               125
% 0.22/0.47  clqueue els 10000000 used 1
% 0.22/0.47  clactive els 10000000 used 38
% 0.22/0.47  clactivesubsume els 10000000 used 217
% 0.22/0.47  queue_termbuf els 200000000 used 54418
% 0.22/0.47  hyper_termbuf els 100000000 used 1
% 0.22/0.47  active_termbuf els 100000000 used 1468
% 0.22/0.47  varstack els 5000 last used 1
% 0.22/0.47  given_termbuf els 10000000 last used 1
% 0.22/0.47  simplified_termbuf els 10000000 last used 1
% 0.22/0.47  derived_termbuf els 10000000 last used 58
% 0.22/0.47  wr_mallocs: 2352
% 0.22/0.47  wr_callocs: 21
% 0.22/0.47  wr_reallocs: 195
% 0.22/0.47  wr_frees: 2
% 0.22/0.47  wr_malloc_bytes: 4162667700
% 0.22/0.47  wr_calloc_bytes: 112065536
% 0.22/0.47  wr_realloc_bytes: 20904
% 0.22/0.47  wr_realloc_freebytes: 0
% 0.22/0.47  ----------------------------------
%------------------------------------------------------------------------------