TSTP Solution File: HEN010-2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : HEN010-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n006.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 01:55:45 EDT 2023

% Result   : Unsatisfiable 3.13s 0.83s
% Output   : CNFRefutation 3.13s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_quotient_property')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ quotient(X,Y,Z)
    | ~ quotient(U,V,W)
    | ~ quotient(X2006,V,Y)
    | ~ quotient(X2007,V,X)
    | ~ quotient(X2007,X2006,U)
    | less_equal(Z,W) ),
    inference(cnf_transformation,[],['$inc_quotient_property']) ).

cnf('2',plain,
    ( ~ quotient(X,Y,Z)
    | ~ quotient(X,Y,U)
    | U = Z ),
    inference(cnf_transformation,[],['$inc_well_defined']) ).

cnf('3',plain,
    quotient(X,zero,X),
    inference(cnf_transformation,[],[x_divde_zero_is_x]) ).

cnf('4',plain,
    ( ~ quotient(X,zero,Y)
    | Y = X ),
    inference(resolution,[],['2','3']) ).

cnf('5',plain,
    quotient(X,Y,divide(X,Y)),
    inference(cnf_transformation,[],['$inc_closure']) ).

cnf('6',plain,
    divide(X,zero) = X,
    inference(resolution,[],['4','5']) ).

cnf('7',plain,
    quotient(X,zero,X),
    inference(paramodulation,[],['6','5']) ).

cnf('8',plain,
    ( ~ quotient(X,Y,Z)
    | ~ quotient(X,U,V)
    | ~ quotient(Y,U,zero)
    | ~ quotient(Z,U,W)
    | less_equal(V,W) ),
    inference(resolution,[],['1','7']) ).

cnf('9',plain,
    ( quotient(X,Y,zero)
    | ~ less_equal(X,Y) ),
    inference(cnf_transformation,[],['$inc_quotient_less_equal']) ).

cnf('10',plain,
    ( ~ quotient(X,Y,Z)
    | less_equal(Z,X) ),
    inference(cnf_transformation,[],['$inc_divisor_existence']) ).

cnf('11',plain,
    quotient(X,zero,X),
    inference(cnf_transformation,[],[x_divde_zero_is_x]) ).

cnf('12',plain,
    less_equal(X,X),
    inference(resolution,[],['10','11']) ).

cnf('13',plain,
    quotient(X3,X3,zero),
    inference(resolution,[],['9','12']) ).

cnf('14',plain,
    ( ~ quotient(X,Y,Z)
    | ~ quotient(U,Y,X)
    | less_equal(X,Z) ),
    inference(factorization,[then_simplify],['8','13']) ).

cnf('15',plain,
    quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
    inference(cnf_transformation,[],[identity_divide_idQ_idQa]) ).

cnf('16',plain,
    ( ~ less_equal(X,Y)
    | ~ less_equal(Y,X)
    | Y = X ),
    inference(cnf_transformation,[],['$inc_less_equal_and_equal']) ).

cnf('17',plain,
    less_equal(idQa_Q__idQ_idQa,idQa),
    inference(resolution,[],['10','15']) ).

cnf('18',plain,
    idQa != idQa_Q__idQ_idQa,
    inference(cnf_transformation,[],[prove_idQa_equals_idQa_Q__idQ_idQa]) ).

cnf('19',plain,
    ~ less_equal(idQa,idQa_Q__idQ_idQa),
    inference(resolution,[then_simplify],['16','17','18']) ).

cnf('20',plain,
    ( ~ quotient(X,Y,Z)
    | ~ quotient(X,U,V)
    | ~ less_equal(V,Y)
    | less_equal(Z,U) ),
    inference(cnf_transformation,[],[xQyLEz_implies_xQzLEy]) ).

cnf('21',plain,
    ( less_equal(divide(X,Y),Z)
    | ~ quotient(X,Z,U)
    | ~ less_equal(U,Y) ),
    inference(resolution,[],['20','5']) ).

cnf('22',plain,
    ( ~ less_equal(divide(X,Y),Z)
    | less_equal(divide(X,Z),Y) ),
    inference(resolution,[],['21','5']) ).

cnf('23',plain,
    less_equal(divide(X,divide(X,Y)),Y),
    inference(resolution,[],['22','12']) ).

cnf('24',plain,
    quotient(identity,idQa,idQ_idQa),
    inference(cnf_transformation,[],[identity_divide_idQa]) ).

cnf('25',plain,
    ( ~ quotient(identity,X,Y)
    | less_equal(idQ_idQa,X)
    | ~ less_equal(Y,idQa) ),
    inference(resolution,[],['20','24']) ).

cnf('26',plain,
    quotient(identity,a,idQa),
    inference(cnf_transformation,[],[identity_divide_a]) ).

cnf('27',plain,
    ( ~ quotient(X,Y,Z)
    | ~ quotient(U,Y,V)
    | ~ less_equal(U,X)
    | less_equal(V,Z) ),
    inference(cnf_transformation,[],[xLEy_implies_xQzLEyQz]) ).

cnf('28',plain,
    ( ~ quotient(X,Y,zero)
    | less_equal(X,Y) ),
    inference(cnf_transformation,[],['$inc_less_equal_quotient']) ).

cnf('29',plain,
    less_equal(X,identity),
    inference(cnf_transformation,[],['$inc_identity_is_largest']) ).

cnf('30',plain,
    quotient(X,identity,zero),
    inference(resolution,[],['9','29']) ).

cnf('31',plain,
    less_equal(X3,identity),
    inference(resolution,[],['28','30']) ).

cnf('32',plain,
    ( ~ quotient(X,a,Y)
    | less_equal(Y,idQa) ),
    inference(resolution,[then_simplify],['27','26','31']) ).

cnf('33',plain,
    less_equal(idQa,idQa),
    inference(resolution,[],['32','26']) ).

cnf('34',plain,
    less_equal(idQ_idQa,a),
    inference(resolution,[then_simplify],['25','26','33']) ).

cnf('35',plain,
    ( ~ less_equal(X,Y)
    | ~ less_equal(Z,X)
    | less_equal(Z,Y) ),
    inference(cnf_transformation,[],[transitivity_of_less_equal]) ).

cnf('36',plain,
    ( ~ less_equal(X,idQ_idQa)
    | less_equal(X,a) ),
    inference(resolution,[],['34','35']) ).

cnf('37',plain,
    less_equal(divide(X,divide(X,idQ_idQa)),a),
    inference(resolution,[],['23','36']) ).

cnf('38',plain,
    ( ~ quotient(identity,X,Y)
    | less_equal(idQa,X)
    | ~ less_equal(Y,a) ),
    inference(resolution,[],['20','26']) ).

cnf('39',plain,
    ( ~ less_equal(divide(identity,X),a)
    | less_equal(idQa,X) ),
    inference(resolution,[],['38','5']) ).

cnf('40',plain,
    less_equal(idQa,divide(identity,idQ_idQa)),
    inference(resolution,[],['37','39']) ).

cnf('41',plain,
    ( less_equal(divide(identity,X),idQa)
    | ~ less_equal(idQ_idQa,X) ),
    inference(resolution,[],['21','24']) ).

cnf('42',plain,
    less_equal(divide(identity,idQ_idQa),idQa),
    inference(resolution,[],['41','12']) ).

cnf('43',plain,
    divide(identity,idQ_idQa) = idQa,
    inference(resolution,[then_simplify],['40','16','42']) ).

cnf('44',plain,
    quotient(identity,idQ_idQa,idQa),
    inference(paramodulation,[],['43','5']) ).

cnf('45',plain,
    $false,
    inference(resolution,[then_simplify],['14','15','19','44']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HEN010-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug 24 13:29:22 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.39  
% 0.19/0.39  input clause set summed statistics:
% 0.19/0.39  ----------------------------------
% 0.19/0.39  in_clause_count:                    22
% 0.19/0.39  in_rule_clause_count:               13
% 0.19/0.39  in_fact_clause_count:                9
% 0.19/0.39  in_answer_clause_count:              0
% 0.19/0.39  in_ground_clause_count:              4
% 0.19/0.39  in_unit_clause_count:               11
% 0.19/0.39  in_horn_clause_count:               22
% 0.19/0.39  in_pos_clause_count:                10
% 0.19/0.39  in_neg_clause_count:                 1
% 0.19/0.39  in_poseq_clause_count:               3
% 0.19/0.39  in_negeq_clause_count:               1
% 0.19/0.39  in_unitposeq_clause_count:           0
% 0.19/0.39  in_chain_clause_count:               0
% 0.19/0.39  in_min_length:             1
% 0.19/0.39  in_max_length:             6
% 0.19/0.39  in_min_depth:              1
% 0.19/0.39  in_max_depth:              2
% 0.19/0.39  in_min_size:               3
% 0.19/0.39  in_max_size:              23
% 0.19/0.39  in_min_vars:               0
% 0.19/0.39  in_max_vars:               8
% 0.19/0.39  in_extaxiom_count:                 9
% 0.19/0.39  in_axiom_count:                    9
% 0.19/0.39  in_assumption_count:               3
% 0.19/0.39  in_goal_count:                     1
% 0.19/0.39  in_neg_goal_count:                 1
% 0.19/0.39  in_pos_goal_count:                 0
% 0.19/0.39  in_posunit_goal_count:             0
% 0.19/0.39  
% 0.19/0.39  auto guide:
% 0.19/0.39  -----------
% 0.19/0.39  {
% 0.19/0.39  "print":1,
% 0.19/0.39  "print_level": 15,
% 0.19/0.39  "max_size": 0,
% 0.19/0.39  "max_depth": 0,
% 0.19/0.39  "max_length": 0,
% 0.19/0.39  "max_dseconds": 0,
% 0.19/0.39  "runs":[
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39  {"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},
% 0.19/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
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% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39  {"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},
% 0.19/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.19/0.39  {"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},
% 0.19/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.19/0.40  
% 0.19/0.40  ]}
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  **** run 1 fork 0 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.40  
% 0.19/0.40  **** run 2 fork 1 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.40  
% 0.19/0.40  **** run 3 fork 2 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.40  
% 0.19/0.40  **** run 4 fork 3 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.40  
% 0.19/0.40  **** run 5 fork 4 starts with strategy
% 0.19/0.40  
% 0.19/0.40  **** run 6 fork 5 starts with strategy
% 0.19/0.40  
% 0.19/0.40  **** run 8 fork 7 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 7 fork 6 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.45  
% 0.19/0.45  fork 3: search finished without proof.
% 0.19/0.48  
% 0.19/0.48  **** run 12 fork 3 starts with strategy
% 0.19/0.48  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 0: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 2: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 5: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 4: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 7: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 6: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 1: search terminated without proof.
% 0.19/0.55  
% 0.19/0.55  **** run 9 fork 0 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.55  
% 0.19/0.55  **** run 11 fork 2 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.55  
% 0.19/0.55  **** run 14 fork 5 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.19/0.56  
% 0.19/0.56  **** run 13 fork 4 starts with strategy
% 0.19/0.56  
% 0.19/0.56  **** run 15 fork 6 starts with strategy
% 0.19/0.56  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.56  **** run 10 fork 1 starts with strategy
% 0.19/0.56  
% 0.19/0.56  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.56  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.56  **** run 16 fork 7 starts with strategy
% 0.19/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.56  
% 0.19/0.59  
% 0.19/0.59  fork 3: search finished without proof.
% 0.19/0.61  
% 0.19/0.61  **** run 20 fork 3 starts with strategy
% 0.19/0.61  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.19/0.68  
% 0.19/0.68  
% 0.19/0.68  fork 1: search terminated without proof.
% 0.19/0.68  
% 0.19/0.68  
% 0.19/0.68  fork 6: search terminated without proof.
% 0.19/0.68  
% 0.19/0.68  
% 0.19/0.68  fork 7: search terminated without proof.
% 0.19/0.68  
% 0.19/0.68  
% 0.19/0.68  fork 4: search terminated without proof.
% 0.19/0.68  
% 0.19/0.68  
% 0.19/0.68  fork 2: search terminated without proof.
% 0.19/0.68  
% 0.19/0.68  
% 0.19/0.68  fork 5: search terminated without proof.
% 0.19/0.68  
% 0.19/0.68  
% 0.19/0.68  fork 0: search terminated without proof.
% 0.19/0.70  
% 0.19/0.70  **** run 18 fork 1 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.19/0.70  
% 0.19/0.70  **** run 24 fork 7 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.19/0.70  
% 0.19/0.70  **** run 19 fork 2 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 0.19/0.70  
% 0.19/0.70  **** run 21 fork 4 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 0.19/0.71  
% 0.19/0.71  **** run 17 fork 0 starts with strategy
% 0.19/0.71  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.71  
% 0.19/0.71  **** run 22 fork 5 starts with strategy
% 0.19/0.71  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 0.19/0.71  
% 0.19/0.71  **** run 23 fork 6 starts with strategy
% 0.19/0.71  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.19/0.74  
% 0.19/0.74  
% 0.19/0.74  fork 3: search terminated without proof.
% 0.19/0.76  
% 0.19/0.76  **** run 28 fork 3 starts with strategy
% 0.19/0.76  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 3.13/0.83  
% 3.13/0.83  
% 3.13/0.83  result: proof found
% 3.13/0.83  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.13/0.83  by run 19 fork 2 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.13/0.83  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.13/0.83  
% 3.13/0.83  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 3.13/0.83  
% 3.13/0.83  run 19 fork 2 statistics:
% 3.13/0.83  ----------------------------------
% 3.13/0.83  this run seconds: 0.088452
% 3.13/0.83  total seconds: 0.417261
% 3.13/0.83  stat_given_used: 471
% 3.13/0.83  stat_given_used_at_endgame: 0
% 3.13/0.83  stat_given_candidates:   2633
% 3.13/0.83  stat_given_candidates_at_endgame: 0
% 3.13/0.83  stat_given_candidates_h: 0
% 3.13/0.83  stat_binres_derived_cl:   4914
% 3.13/0.83  stat_binres_derived_cl_h: 0
% 3.13/0.83  stat_factor_derived_cl: 100
% 3.13/0.83  stat_para_derived_cl: 10423
% 3.13/0.83  stat_tautologies_discarded: 36
% 3.13/0.83  stat_forward_subsumed: 7099
% 3.13/0.83  stat_derived_cut: 141
% 3.13/0.83  stat_derived_rewritten: 280
% 3.13/0.83  stat_weight_discarded_building: 0
% 3.13/0.83  stat_weight_discarded_cl: 3691
% 3.13/0.83  stat_internlimit_discarded_cl: 0
% 3.13/0.83  stat_simplified:  280 simplified 0 derived 0 given
% 3.13/0.83  stat_kept_cl: 3941
% 3.13/0.83  stat_built_cl: 8854
% 3.13/0.83  stat_hyperres_partial_cl: 0
% 3.13/0.83  stat_made_rewriters: 74
% 3.13/0.83  stat_backward_subsumed: 0
% 3.13/0.83  stat_propagated_subsumed: 0
% 3.13/0.83  stat_clsubs_attempted:                     15650
% 3.13/0.83  stat_clsubs_fact_groundunit_found:            21
% 3.13/0.83  stat_clsubs_rule_groundunit_found:             2
% 3.13/0.83  stat_clsubs_top_meta_attempted:             137490
% 3.13/0.83  stat_clsubs_top_meta_failed:                121840
% 3.13/0.83  stat_clsubs_top_meta_nonpref_attempted:              137490
% 3.13/0.83  stat_clsubs_top_meta_nonpref_succeeded:               40586
% 3.13/0.83  stat_clsubs_top_meta_pref_attempted:                  40586
% 3.13/0.83  stat_clsubs_top_meta_pref1_succeeded:                 23822
% 3.13/0.83  stat_clsubs_top_meta_pref2_succeeded:                 16811
% 3.13/0.83  stat_clsubs_top_meta_pref3_succeeded:                 15650
% 3.13/0.83  stat_clsubs_top_meta_pref_succeeded:                  15650
% 3.13/0.83  stat_clsubs_meta_attempted:                25022
% 3.13/0.83  stat_clsubs_meta_failed:                    7065
% 3.13/0.83  stat_clsubs_predsymbs_attempted:               0
% 3.13/0.83  stat_clsubs_unit_attempted:                 9007
% 3.13/0.83  stat_clsubs_full_attempted:                 6643
% 3.13/0.83  stat_forwardsubs_attempted:                14732
% 3.13/0.83  stat_lit_hash_added:                   4938
% 3.13/0.83  stat_lit_hash_computed:               36375
% 3.13/0.83  stat_lit_hash_match_found:             7820
% 3.13/0.83  stat_lit_hash_match_miss:             38620
% 3.13/0.83  stat_lit_hash_cut_ok:                   287
% 3.13/0.83  stat_lit_strong_cut_ok:                  15
% 3.13/0.83  stat_lit_hash_subsume_ok:              7099
% 3.13/0.83  clqueue els 10000000 used 1
% 3.13/0.83  clactive els 10000000 used 472
% 3.13/0.83  clactivesubsume els 10000000 used 2359
% 3.13/0.83  queue_termbuf els 200000000 used 194241
% 3.13/0.83  hyper_termbuf els 100000000 used 1
% 3.13/0.83  active_termbuf els 100000000 used 13159
% 3.13/0.83  varstack els 5000 last used 1
% 3.13/0.83  given_termbuf els 10000000 last used 1
% 3.13/0.83  simplified_termbuf els 10000000 last used 1
% 3.13/0.83  derived_termbuf els 10000000 last used 33
% 3.13/0.83  wr_mallocs: 10366
% 3.13/0.83  wr_callocs: 21
% 3.13/0.83  wr_reallocs: 701
% 3.13/0.83  wr_frees: 2
% 3.13/0.83  wr_malloc_bytes: 4162953332
% 3.13/0.83  wr_calloc_bytes: 112065536
% 3.13/0.83  wr_realloc_bytes: 208056
% 3.13/0.83  wr_realloc_freebytes: 0
% 3.13/0.83  ----------------------------------
% 3.13/0.83  
% 3.13/0.83  
% 3.13/0.83  fork 4: search terminated without proof.
%------------------------------------------------------------------------------