TSTP Solution File: COL006-4 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : COL006-4 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed Aug 30 18:26:49 EDT 2023

% Result   : Unsatisfiable 4.78s 1.10s
% Output   : CNFRefutation 4.78s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named s_definition)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
    inference(cnf_transformation,[],[s_definition]) ).

cnf('2',plain,
    ( apply(X,fixed_pt) != apply(fixed_pt,apply(X,fixed_pt))
    | fixed_point(X) ),
    inference(cnf_transformation,[],[strong_fixed_point]) ).

cnf('3',plain,
    ~ fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k))),
    inference(cnf_transformation,[],[prove_strong_fixed_point]) ).

cnf('4',plain,
    apply(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k)),fixed_pt) != apply(fixed_pt,apply(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k)),fixed_pt)),
    inference(resolution,[],['2','3']) ).

cnf('5',plain,
    apply(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k)),fixed_pt) != apply(fixed_pt,apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(s,apply(k,s)),k),fixed_pt))),
    inference(paramodulation,[],['1','4']) ).

cnf('6',plain,
    apply(apply(k,X),Y) = X,
    inference(cnf_transformation,[],[k_definition]) ).

cnf('7',plain,
    apply(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k)),fixed_pt) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(s,apply(k,s)),k),fixed_pt))),
    inference(simplify,[],['5','6']) ).

cnf('8',plain,
    apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(s,apply(k,s)),k),fixed_pt)) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(s,apply(k,s)),k),fixed_pt))),
    inference(paramodulation,[],['1','7']) ).

cnf('9',plain,
    apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(s,apply(k,s)),k),fixed_pt)) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(s,apply(k,s)),k),fixed_pt))),
    inference(simplify,[],['8','6']) ).

cnf('10',plain,
    apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(k,s),fixed_pt),apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(s,apply(k,s)),k),fixed_pt))),
    inference(paramodulation,[],['1','9']) ).

cnf('11',plain,
    apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(s,apply(k,s)),k),fixed_pt))),
    inference(simplify,[],['10','6']) ).

cnf('12',plain,
    apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(k,s),fixed_pt),apply(k,fixed_pt)))),
    inference(paramodulation,[],['1','11']) ).

cnf('13',plain,
    apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
    inference(simplify,[],['12','6']) ).

cnf('14',plain,
    apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(apply(s,k),k),apply(apply(s,s),apply(s,k)))),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
    inference(paramodulation,[],['1','13']) ).

cnf('15',plain,
    apply(apply(apply(s,k),X),Y) = Y,
    inference(paramodulation,[],['1','6']) ).

cnf('16',plain,
    apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
    inference(simplify,[],['14','15']) ).

cnf('17',plain,
    apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
    inference(paramodulation,[],['1','16']) ).

cnf('18',plain,
    apply(apply(apply(s,apply(s,apply(k,fixed_pt))),apply(apply(s,k),apply(s,apply(k,fixed_pt)))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
    inference(paramodulation,[],['1','17']) ).

cnf('19',plain,
    apply(apply(apply(s,apply(k,fixed_pt)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),apply(apply(apply(s,k),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
    inference(paramodulation,[],['1','18']) ).

cnf('20',plain,
    apply(apply(apply(s,apply(k,X)),Y),Z) = apply(X,apply(Y,Z)),
    inference(paramodulation,[],['6','1']) ).

cnf('21',plain,
    apply(fixed_pt,apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
    inference(simplify,[then_simplify],['19','15','20']) ).

cnf('22',plain,
    apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
    inference(paramodulation,[],['1','21']) ).

cnf('23',plain,
    apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(apply(s,k),k),apply(apply(s,s),apply(s,k)))),apply(s,apply(k,fixed_pt)))),
    inference(paramodulation,[],['1','22']) ).

cnf('24',plain,
    $false,
    inference(simplify,[],['23','15']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : COL006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command  : gkc %s
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 05:18:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.41  
% 0.20/0.41  input clause set summed statistics:
% 0.20/0.41  ----------------------------------
% 0.20/0.41  in_clause_count:                     4
% 0.20/0.41  in_rule_clause_count:                4
% 0.20/0.41  in_fact_clause_count:                0
% 0.20/0.41  in_answer_clause_count:              0
% 0.20/0.41  in_ground_clause_count:              1
% 0.20/0.41  in_unit_clause_count:                3
% 0.20/0.41  in_horn_clause_count:                4
% 0.20/0.41  in_pos_clause_count:                 2
% 0.20/0.41  in_neg_clause_count:                 1
% 0.20/0.41  in_poseq_clause_count:               2
% 0.20/0.41  in_negeq_clause_count:               1
% 0.20/0.41  in_unitposeq_clause_count:           2
% 0.20/0.41  in_chain_clause_count:               0
% 0.20/0.41  in_min_length:             1
% 0.20/0.41  in_max_length:             2
% 0.20/0.41  in_min_depth:              3
% 0.20/0.41  in_max_depth:              8
% 0.20/0.41  in_min_size:               7
% 0.20/0.41  in_max_size:              30
% 0.20/0.41  in_min_vars:               0
% 0.20/0.41  in_max_vars:               3
% 0.20/0.41  in_extaxiom_count:                 0
% 0.20/0.41  in_axiom_count:                    3
% 0.20/0.41  in_assumption_count:               0
% 0.20/0.41  in_goal_count:                     1
% 0.20/0.41  in_neg_goal_count:                 1
% 0.20/0.41  in_pos_goal_count:                 0
% 0.20/0.41  in_posunit_goal_count:             0
% 0.20/0.41  
% 0.20/0.41  auto guide:
% 0.20/0.41  -----------
% 0.20/0.41  {
% 0.20/0.41  "print":1,
% 0.20/0.41  "print_level": 15,
% 0.20/0.41  "max_size": 0,
% 0.20/0.41  "max_depth": 0,
% 0.20/0.41  "max_length": 0,
% 0.20/0.41  "max_dseconds": 0,
% 0.20/0.41  "runs":[
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.41  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.41  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.41  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.41  {"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},
% 0.20/0.41  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.41  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.41  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.41  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
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% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.20/0.41  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.41  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.41  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.20/0.41  {"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},
% 0.20/0.41  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.41  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.41  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.41  
% 0.20/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.41  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.20/0.41  
% 0.20/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["hardness_pref", "posunitpara"], "query_preference":0} 
% 0.20/0.41  
% 0.20/0.41  ]}
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  **** run 1 fork 0 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 2 fork 1 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.41  
% 0.20/0.41  **** run 3 fork 2 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 4 fork 3 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 0.20/0.41  
% 0.20/0.41  **** run 5 fork 4 starts with strategy
% 0.20/0.41  
% 0.20/0.41  **** run 6 fork 5 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}{"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  **** run 7 fork 6 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.43  
% 0.20/0.43  **** run 8 fork 7 starts with strategy
% 0.20/0.43  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.45  
% 0.20/0.45  fork 3: search finished without proof.
% 0.20/0.48  
% 0.20/0.48  **** run 12 fork 3 starts with strategy
% 0.20/0.48  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 0: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 2: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 4: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 6: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 5: search terminated without proof.
% 0.20/0.56  
% 0.20/0.56  **** run 15 fork 6 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.56  
% 0.20/0.56  
% 0.20/0.56  fork 1: search terminated without proof.
% 0.20/0.56  
% 0.20/0.56  **** run 11 fork 2 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.56  
% 0.20/0.56  **** run 9 fork 0 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.56  
% 0.20/0.56  **** run 13 fork 4 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0}
% 0.20/0.57  
% 0.20/0.57  **** run 14 fork 5 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.20/0.58  
% 0.20/0.58  
% 0.20/0.58  fork 7: search terminated without proof.
% 0.20/0.58  
% 0.20/0.58  **** run 10 fork 1 starts with strategy
% 0.20/0.58  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.58  
% 0.20/0.58  fork 0: search finished without proof.
% 0.20/0.60  
% 0.20/0.60  
% 0.20/0.60  fork 3: search terminated without proof.
% 0.20/0.61  
% 0.20/0.61  fork 1: search finished without proof.
% 0.20/0.61  
% 0.20/0.61  **** run 16 fork 7 starts with strategy
% 0.20/0.61  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.61  
% 0.20/0.61  **** run 17 fork 0 starts with strategy
% 0.20/0.61  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.20/0.62  
% 0.20/0.62  **** run 20 fork 3 starts with strategy
% 0.20/0.62  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.20/0.62  
% 0.20/0.62  **** run 18 fork 1 starts with strategy
% 0.20/0.62  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":1}
% 0.20/0.68  
% 0.20/0.68  
% 0.20/0.68  fork 2: search terminated without proof.
% 0.20/0.68  
% 0.20/0.68  
% 0.20/0.68  fork 6: search terminated without proof.
% 0.20/0.68  
% 0.20/0.68  
% 0.20/0.68  fork 4: search terminated without proof.
% 0.20/0.68  
% 0.20/0.68  
% 0.20/0.68  fork 5: search terminated without proof.
% 0.20/0.70  
% 0.20/0.70  **** run 21 fork 4 starts with strategy
% 0.20/0.70  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.20/0.70  
% 0.20/0.70  **** run 19 fork 2 starts with strategy
% 0.20/0.70  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.70  
% 0.20/0.70  **** run 23 fork 6 starts with strategy
% 0.20/0.70  
% 0.20/0.70  **** run 22 fork 5 starts with strategy
% 0.20/0.70  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.20/0.70  {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  fork 0: search terminated without proof.
% 0.20/0.74  
% 0.20/0.74  
% 0.20/0.74  fork 7: search terminated without proof.
% 0.20/0.75  
% 0.20/0.75  
% 0.20/0.75  fork 1: search terminated without proof.
% 0.20/0.76  
% 0.20/0.76  **** run 24 fork 7 starts with strategy
% 0.20/0.76  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 2.31/0.76  
% 2.31/0.76  **** run 25 fork 0 starts with strategy
% 2.31/0.76  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 2.31/0.77  
% 2.31/0.77  
% 2.31/0.77  fork 3: search terminated without proof.
% 2.31/0.77  
% 2.31/0.77  **** run 26 fork 1 starts with strategy
% 2.31/0.77  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 2.94/0.79  
% 2.94/0.79  **** run 28 fork 3 starts with strategy
% 2.94/0.79  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 3.18/0.84  
% 3.18/0.84  
% 3.18/0.84  fork 4: search terminated without proof.
% 3.18/0.84  
% 3.18/0.84  
% 3.18/0.84  fork 5: search terminated without proof.
% 3.18/0.85  
% 3.18/0.85  
% 3.18/0.85  fork 6: search terminated without proof.
% 3.18/0.86  
% 3.18/0.86  **** run 29 fork 4 starts with strategy
% 3.18/0.86  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 3.18/0.87  
% 3.18/0.87  **** run 30 fork 5 starts with strategy
% 3.18/0.87  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 3.18/0.87  
% 3.18/0.87  **** run 31 fork 6 starts with strategy
% 3.18/0.87  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 3.18/0.89  
% 3.18/0.89  
% 3.18/0.89  fork 7: search terminated without proof.
% 3.18/0.91  
% 3.18/0.91  
% 3.18/0.91  fork 3: search terminated without proof.
% 3.18/0.91  
% 3.18/0.91  **** run 32 fork 7 starts with strategy
% 3.18/0.91  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"rewrite":0}
% 3.79/0.93  
% 3.79/0.93  **** run 36 fork 3 starts with strategy
% 3.79/0.93  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.79/0.94  
% 3.79/0.94  
% 3.79/0.94  fork 1: search terminated without proof.
% 3.79/0.95  
% 3.79/0.95  fork 3: search finished without proof.
% 3.79/0.96  
% 3.79/0.96  **** run 34 fork 1 starts with strategy
% 3.79/0.96  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.79/0.97  
% 3.79/0.97  **** run 44 fork 3 starts with strategy
% 3.79/0.97  {"max_dseconds":1,"strategy":["negative_pref","posunitpara"],"query_preference":1,"max_depth":2,"depth_penalty":50,"length_penalty":100}
% 3.79/0.98  
% 3.79/0.98  
% 3.79/0.98  fork 4: search terminated without proof.
% 3.79/0.99  
% 3.79/0.99  fork 3: search finished without proof.
% 4.27/1.00  
% 4.27/1.00  
% 4.27/1.00  fork 6: search terminated without proof.
% 4.27/1.00  
% 4.27/1.00  
% 4.27/1.00  fork 5: search terminated without proof.
% 4.27/1.01  
% 4.27/1.01  **** run 52 fork 3 starts with strategy
% 4.27/1.01  {"weight_select_ratio":100,"query_preference":1,"strategy":["negative_pref"],"max_dseconds":1}
% 4.27/1.02  
% 4.27/1.02  **** run 37 fork 4 starts with strategy
% 4.27/1.02  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 4.27/1.02  
% 4.27/1.02  **** run 39 fork 6 starts with strategy
% 4.27/1.02  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 4.27/1.03  
% 4.27/1.03  **** run 38 fork 5 starts with strategy
% 4.27/1.03  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 4.27/1.04  
% 4.27/1.04  
% 4.27/1.04  fork 7: search terminated without proof.
% 4.27/1.06  
% 4.27/1.06  **** run 40 fork 7 starts with strategy
% 4.27/1.06  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 4.78/1.08  
% 4.78/1.08  
% 4.78/1.08  fork 1: search terminated without proof.
% 4.78/1.10  
% 4.78/1.10  
% 4.78/1.10  result: proof found
% 4.78/1.10  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 4.78/1.10  by run 25 fork 0 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.78/1.10  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 4.78/1.10  
% 4.78/1.10  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 4.78/1.10  
% 4.78/1.10  run 25 fork 0 statistics:
% 4.78/1.10  ----------------------------------
% 4.78/1.10  this run seconds: 0.023957
% 4.78/1.10  total seconds: 0.405317
% 4.78/1.10  stat_given_used: 77
% 4.78/1.10  stat_given_used_at_endgame: 0
% 4.78/1.10  stat_given_candidates:   213
% 4.78/1.10  stat_given_candidates_at_endgame: 0
% 4.78/1.10  stat_given_candidates_h: 0
% 4.78/1.10  stat_binres_derived_cl:   3
% 4.78/1.10  stat_binres_derived_cl_h: 0
% 4.78/1.10  stat_factor_derived_cl: 0
% 4.78/1.10  stat_para_derived_cl: 806
% 4.78/1.10  stat_tautologies_discarded: 0
% 4.78/1.10  stat_forward_subsumed: 211
% 4.78/1.10  stat_derived_cut: 1
% 4.78/1.10  stat_derived_rewritten: 28
% 4.78/1.10  stat_weight_discarded_building: 0
% 4.78/1.10  stat_weight_discarded_cl: 0
% 4.78/1.10  stat_internlimit_discarded_cl: 0
% 4.78/1.10  stat_simplified:  28 simplified 0 derived 0 given
% 4.78/1.10  stat_kept_cl: 568
% 4.78/1.10  stat_built_cl: 749
% 4.78/1.10  stat_hyperres_partial_cl: 0
% 4.78/1.10  stat_made_rewriters: 9
% 4.78/1.10  stat_backward_subsumed: 0
% 4.78/1.10  stat_propagated_subsumed: 0
% 4.78/1.10  stat_clsubs_attempted:                        54
% 4.78/1.10  stat_clsubs_fact_groundunit_found:             0
% 4.78/1.10  stat_clsubs_rule_groundunit_found:            19
% 4.78/1.10  stat_clsubs_top_meta_attempted:                678
% 4.78/1.10  stat_clsubs_top_meta_failed:                   624
% 4.78/1.10  stat_clsubs_top_meta_nonpref_attempted:                 678
% 4.78/1.10  stat_clsubs_top_meta_nonpref_succeeded:                 472
% 4.78/1.10  stat_clsubs_top_meta_pref_attempted:                    472
% 4.78/1.10  stat_clsubs_top_meta_pref1_succeeded:                    56
% 4.78/1.10  stat_clsubs_top_meta_pref2_succeeded:                    56
% 4.78/1.10  stat_clsubs_top_meta_pref3_succeeded:                    54
% 4.78/1.10  stat_clsubs_top_meta_pref_succeeded:                     54
% 4.78/1.10  stat_clsubs_meta_attempted:                   60
% 4.78/1.10  stat_clsubs_meta_failed:                       2
% 4.78/1.10  stat_clsubs_predsymbs_attempted:               0
% 4.78/1.10  stat_clsubs_unit_attempted:                   48
% 4.78/1.10  stat_clsubs_full_attempted:                    6
% 4.78/1.10  stat_forwardsubs_attempted:                  779
% 4.78/1.10  stat_lit_hash_added:                    736
% 4.78/1.10  stat_lit_hash_computed:                1898
% 4.78/1.10  stat_lit_hash_match_found:              306
% 4.78/1.10  stat_lit_hash_match_miss:              1565
% 4.78/1.10  stat_lit_hash_cut_ok:                     0
% 4.78/1.10  stat_lit_strong_cut_ok:                   0
% 4.78/1.10  stat_lit_hash_subsume_ok:               211
% 4.78/1.10  clqueue els 10000000 used 1
% 4.78/1.10  clactive els 10000000 used 78
% 4.78/1.10  clactivesubsume els 10000000 used 97
% 4.78/1.10  queue_termbuf els 200000000 used 95102
% 4.78/1.10  hyper_termbuf els 100000000 used 1
% 4.78/1.10  active_termbuf els 100000000 used 13269
% 4.78/1.10  varstack els 5000 last used 1
% 4.78/1.10  given_termbuf els 10000000 last used 1
% 4.78/1.10  simplified_termbuf els 10000000 last used 1
% 4.78/1.10  derived_termbuf els 10000000 last used 3
% 4.78/1.10  wr_mallocs: 6069
% 4.78/1.10  wr_callocs: 21
% 4.78/1.10  wr_reallocs: 90
% 4.78/1.10  wr_frees: 2
% 4.78/1.10  wr_malloc_bytes: 4162785572
% 4.78/1.10  wr_calloc_bytes: 112065536
% 4.78/1.10  wr_realloc_bytes: 8432
% 4.78/1.10  wr_realloc_freebytes: 0
% 4.78/1.10  ----------------------------------
% 4.78/1.10  
% 4.78/1.10  **** run 42 fork 1 starts with strategy
% 4.78/1.10  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
%------------------------------------------------------------------------------