TSTP Solution File: HEN010-7 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : HEN010-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n026.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 01:55:47 EDT 2023

% Result   : Unsatisfiable 3.88s 0.99s
% Output   : CNFRefutation 3.88s
% 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,
    quotient(identity,idQa,idQ_idQa),
    inference(cnf_transformation,[],[identity_divide_idQa]) ).

cnf('23',plain,
    ( less_equal(divide(identity,X),idQa)
    | ~ less_equal(idQ_idQa,X) ),
    inference(resolution,[],['21','22']) ).

cnf('24',plain,
    less_equal(divide(identity,idQ_idQa),idQa),
    inference(resolution,[],['23','12']) ).

cnf('25',plain,
    ( ~ quotient(X,Y,Z)
    | ~ quotient(X,U,V)
    | ~ less_equal(U,Y)
    | less_equal(Z,V) ),
    inference(cnf_transformation,[],[xLEy_implies_zQyLEzQx]) ).

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

cnf('27',plain,
    ( ~ quotient(identity,X,Y)
    | less_equal(idQa,Y)
    | ~ less_equal(X,a) ),
    inference(resolution,[],['25','26']) ).

cnf('28',plain,
    ( less_equal(idQa,divide(identity,X))
    | ~ less_equal(X,a) ),
    inference(resolution,[],['27','5']) ).

cnf('29',plain,
    ( ~ quotient(identity,X,Y)
    | less_equal(idQ_idQa,X)
    | ~ less_equal(Y,idQa) ),
    inference(resolution,[],['20','22']) ).

cnf('30',plain,
    ( ~ quotient(X,Y,Z)
    | ~ quotient(U,Y,V)
    | ~ less_equal(U,X)
    | less_equal(V,Z) ),
    inference(cnf_transformation,[],[xLEy_implies_xQzLEyQz]) ).

cnf('31',plain,
    ( ~ quotient(X,Y,zero)
    | less_equal(X,Y) ),
    inference(cnf_transformation,[],['$inc_less_equal_quotient']) ).

cnf('32',plain,
    quotient(X,identity,zero),
    inference(cnf_transformation,[],[everything_divide_identity_is_zero]) ).

cnf('33',plain,
    less_equal(X3,identity),
    inference(resolution,[],['31','32']) ).

cnf('34',plain,
    ( ~ quotient(X,a,Y)
    | less_equal(Y,idQa) ),
    inference(resolution,[then_simplify],['30','26','33']) ).

cnf('35',plain,
    less_equal(idQa,idQa),
    inference(resolution,[],['34','26']) ).

cnf('36',plain,
    less_equal(idQ_idQa,a),
    inference(resolution,[then_simplify],['29','26','35']) ).

cnf('37',plain,
    less_equal(idQa,divide(identity,idQ_idQa)),
    inference(resolution,[],['28','36']) ).

cnf('38',plain,
    idQa = divide(identity,idQ_idQa),
    inference(resolution,[then_simplify],['24','16','37']) ).

cnf('39',plain,
    quotient(identity,idQ_idQa,idQa),
    inference(paramodulation,[],['38','5']) ).

cnf('40',plain,
    $false,
    inference(resolution,[then_simplify],['14','15','19','39']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HEN010-7 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 13:42:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.43  
% 0.20/0.43  input clause set summed statistics:
% 0.20/0.43  ----------------------------------
% 0.20/0.43  in_clause_count:                    21
% 0.20/0.43  in_rule_clause_count:               12
% 0.20/0.43  in_fact_clause_count:                9
% 0.20/0.43  in_answer_clause_count:              0
% 0.20/0.43  in_ground_clause_count:              4
% 0.20/0.43  in_unit_clause_count:               11
% 0.20/0.43  in_horn_clause_count:               21
% 0.20/0.43  in_pos_clause_count:                10
% 0.20/0.43  in_neg_clause_count:                 1
% 0.20/0.43  in_poseq_clause_count:               2
% 0.20/0.43  in_negeq_clause_count:               1
% 0.20/0.43  in_unitposeq_clause_count:           0
% 0.20/0.43  in_chain_clause_count:               0
% 0.20/0.43  in_min_length:             1
% 0.20/0.43  in_max_length:             6
% 0.20/0.43  in_min_depth:              1
% 0.20/0.43  in_max_depth:              2
% 0.20/0.43  in_min_size:               3
% 0.20/0.43  in_max_size:              23
% 0.20/0.43  in_min_vars:               0
% 0.20/0.43  in_max_vars:               8
% 0.20/0.43  in_extaxiom_count:                 9
% 0.20/0.43  in_axiom_count:                    8
% 0.20/0.43  in_assumption_count:               3
% 0.20/0.43  in_goal_count:                     1
% 0.20/0.43  in_neg_goal_count:                 1
% 0.20/0.43  in_pos_goal_count:                 0
% 0.20/0.43  in_posunit_goal_count:             0
% 0.20/0.43  
% 0.20/0.43  auto guide:
% 0.20/0.43  -----------
% 0.20/0.43  {
% 0.20/0.43  "print":1,
% 0.20/0.43  "print_level": 15,
% 0.20/0.43  "max_size": 0,
% 0.20/0.43  "max_depth": 0,
% 0.20/0.43  "max_length": 0,
% 0.20/0.43  "max_dseconds": 0,
% 0.20/0.43  "runs":[
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.43  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.43  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.43  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.43  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.43  {"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},
% 0.20/0.43  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.43  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.43  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.43  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.43  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.43  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.43  {"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},
% 0.20/0.43  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
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% 0.20/0.43  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.43  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.43  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.43  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.43  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.43  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.43  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.43  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.20/0.43  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.43  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.20/0.43  {"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},
% 0.20/0.43  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.20/0.43  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.43  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.43  
% 0.20/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.43  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.43  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.43  
% 0.20/0.43  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.20/0.43  
% 0.20/0.43  ]}
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  **** run 1 fork 0 starts with strategy
% 0.20/0.43  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.43  
% 0.20/0.43  **** run 2 fork 1 starts with strategy
% 0.20/0.43  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.44  
% 0.20/0.44  **** run 3 fork 2 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.44  
% 0.20/0.44  **** run 4 fork 3 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.44  
% 0.20/0.44  **** run 5 fork 4 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.44  
% 0.20/0.44  **** run 6 fork 5 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.44  
% 0.20/0.44  **** run 7 fork 6 starts with strategy
% 0.20/0.44  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.46  
% 0.20/0.46  **** run 8 fork 7 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.46  
% 0.20/0.46  fork 3: search finished without proof.
% 0.20/0.49  
% 0.20/0.49  **** run 12 fork 3 starts with strategy
% 0.20/0.49  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 0: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  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 5: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 1: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  **** run 9 fork 0 starts with strategy
% 0.20/0.55  {"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","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.56  
% 0.20/0.56  **** run 14 fork 5 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.20/0.56  
% 0.20/0.56  **** run 11 fork 2 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.56  
% 0.20/0.56  
% 0.20/0.56  fork 6: search terminated without proof.
% 0.20/0.57  
% 0.20/0.57  **** run 10 fork 1 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.57  
% 0.20/0.57  
% 0.20/0.57  fork 7: search terminated without proof.
% 0.20/0.58  
% 0.20/0.58  **** run 15 fork 6 starts with strategy
% 0.20/0.58  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.59  
% 0.20/0.59  fork 3: search finished without proof.
% 0.20/0.59  
% 0.20/0.59  **** run 16 fork 7 starts with strategy
% 0.20/0.59  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.60  
% 0.20/0.60  **** run 20 fork 3 starts with strategy
% 0.20/0.60  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.20/0.65  
% 0.20/0.65  
% 0.20/0.65  fork 0: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 4: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 5: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 2: search terminated without proof.
% 0.20/0.67  
% 0.20/0.67  
% 0.20/0.67  fork 1: search terminated without proof.
% 0.20/0.67  
% 0.20/0.67  **** run 17 fork 0 starts with strategy
% 0.20/0.67  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.68  
% 0.20/0.68  **** run 22 fork 5 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 0.20/0.68  
% 0.20/0.68  **** run 21 fork 4 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 0.20/0.68  
% 0.20/0.68  **** run 18 fork 1 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.20/0.69  
% 0.20/0.69  
% 0.20/0.69  fork 6: search terminated without proof.
% 0.20/0.69  
% 0.20/0.69  
% 0.20/0.69  fork 7: search terminated without proof.
% 0.20/0.69  
% 0.20/0.69  **** run 19 fork 2 starts with strategy
% 0.20/0.69  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 0.20/0.70  
% 0.20/0.70  **** run 23 fork 6 starts with strategy
% 0.20/0.70  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.20/0.71  
% 0.20/0.71  **** run 24 fork 7 starts with strategy
% 0.20/0.71  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.20/0.74  
% 0.20/0.74  
% 0.20/0.74  fork 3: search terminated without proof.
% 0.20/0.75  
% 0.20/0.75  **** run 28 fork 3 starts with strategy
% 0.20/0.75  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 0.20/0.78  
% 0.20/0.78  
% 0.20/0.78  fork 5: search terminated without proof.
% 0.20/0.79  
% 0.20/0.79  **** run 30 fork 5 starts with strategy
% 0.20/0.79  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.81  
% 0.20/0.81  
% 0.20/0.81  fork 0: search terminated without proof.
% 0.20/0.82  
% 0.20/0.82  
% 0.20/0.82  fork 1: search terminated without proof.
% 0.20/0.82  
% 0.20/0.82  **** run 25 fork 0 starts with strategy
% 0.20/0.82  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 0.20/0.83  
% 0.20/0.83  **** run 26 fork 1 starts with strategy
% 0.20/0.83  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 3.09/0.84  
% 3.09/0.84  
% 3.09/0.84  fork 6: search terminated without proof.
% 3.09/0.85  
% 3.09/0.85  **** run 31 fork 6 starts with strategy
% 3.09/0.85  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 3.09/0.86  
% 3.09/0.86  
% 3.09/0.86  fork 3: search terminated without proof.
% 3.09/0.88  
% 3.09/0.88  **** run 36 fork 3 starts with strategy
% 3.09/0.88  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 3.09/0.88  
% 3.09/0.88  
% 3.09/0.88  fork 4: search terminated without proof.
% 3.09/0.88  
% 3.09/0.88  
% 3.09/0.88  fork 7: search terminated without proof.
% 3.50/0.90  
% 3.50/0.90  **** run 29 fork 4 starts with strategy
% 3.50/0.90  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 3.50/0.90  
% 3.50/0.90  **** run 32 fork 7 starts with strategy
% 3.50/0.90  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 3.78/0.92  
% 3.78/0.92  
% 3.78/0.92  fork 2: search terminated without proof.
% 3.78/0.93  
% 3.78/0.93  
% 3.78/0.93  fork 5: search terminated without proof.
% 3.88/0.93  
% 3.88/0.93  **** run 27 fork 2 starts with strategy
% 3.88/0.93  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 3.88/0.94  
% 3.88/0.94  fork 0: search finished without proof.
% 3.88/0.94  
% 3.88/0.94  **** run 38 fork 5 starts with strategy
% 3.88/0.94  {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 3.88/0.94  
% 3.88/0.94  
% 3.88/0.94  fork 1: search terminated without proof.
% 3.88/0.95  
% 3.88/0.95  **** run 33 fork 0 starts with strategy
% 3.88/0.95  {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":1}
% 3.88/0.96  
% 3.88/0.96  **** run 34 fork 1 starts with strategy
% 3.88/0.96  {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 3.88/0.96  
% 3.88/0.96  
% 3.88/0.96  fork 6: search terminated without proof.
% 3.88/0.98  
% 3.88/0.98  **** run 39 fork 6 starts with strategy
% 3.88/0.98  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 3.88/0.99  
% 3.88/0.99  
% 3.88/0.99  fork 3: search terminated without proof.
% 3.88/0.99  
% 3.88/0.99  
% 3.88/0.99  result: proof found
% 3.88/0.99  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 3.88/0.99  by run 32 fork 7 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 3.88/0.99  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 3.88/0.99  
% 3.88/0.99  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 3.88/0.99  
% 3.88/0.99  run 32 fork 7 statistics:
% 3.88/0.99  ----------------------------------
% 3.88/0.99  this run seconds: 0.017383
% 3.88/0.99  total seconds: 0.425523
% 3.88/0.99  stat_given_used: 292
% 3.88/0.99  stat_given_used_at_endgame: 0
% 3.88/0.99  stat_given_candidates:   1207
% 3.88/0.99  stat_given_candidates_at_endgame: 0
% 3.88/0.99  stat_given_candidates_h: 0
% 3.88/0.99  stat_binres_derived_cl:   2329
% 3.88/0.99  stat_binres_derived_cl_h: 0
% 3.88/0.99  stat_factor_derived_cl: 72
% 3.88/0.99  stat_para_derived_cl: 567
% 3.88/0.99  stat_tautologies_discarded: 36
% 3.88/0.99  stat_forward_subsumed: 1103
% 3.88/0.99  stat_derived_cut: 65
% 3.88/0.99  stat_derived_rewritten: 129
% 3.88/0.99  stat_weight_discarded_building: 0
% 3.88/0.99  stat_weight_discarded_cl: 280
% 3.88/0.99  stat_internlimit_discarded_cl: 0
% 3.88/0.99  stat_simplified:  129 simplified 0 derived 0 given
% 3.88/0.99  stat_kept_cl: 1372
% 3.88/0.99  stat_built_cl: 2365
% 3.88/0.99  stat_hyperres_partial_cl: 0
% 3.88/0.99  stat_made_rewriters: 10
% 3.88/0.99  stat_backward_subsumed: 0
% 3.88/0.99  stat_propagated_subsumed: 0
% 3.88/0.99  stat_clsubs_attempted:                     10321
% 3.88/0.99  stat_clsubs_fact_groundunit_found:            17
% 3.88/0.99  stat_clsubs_rule_groundunit_found:             2
% 3.88/0.99  stat_clsubs_top_meta_attempted:              60297
% 3.88/0.99  stat_clsubs_top_meta_failed:                 49976
% 3.88/0.99  stat_clsubs_top_meta_nonpref_attempted:               60297
% 3.88/0.99  stat_clsubs_top_meta_nonpref_succeeded:               22704
% 3.88/0.99  stat_clsubs_top_meta_pref_attempted:                  22704
% 3.88/0.99  stat_clsubs_top_meta_pref1_succeeded:                 13662
% 3.88/0.99  stat_clsubs_top_meta_pref2_succeeded:                 10837
% 3.88/0.99  stat_clsubs_top_meta_pref3_succeeded:                 10321
% 3.88/0.99  stat_clsubs_top_meta_pref_succeeded:                  10321
% 3.88/0.99  stat_clsubs_meta_attempted:                19685
% 3.88/0.99  stat_clsubs_meta_failed:                    7599
% 3.88/0.99  stat_clsubs_predsymbs_attempted:               0
% 3.88/0.99  stat_clsubs_unit_attempted:                 2741
% 3.88/0.99  stat_clsubs_full_attempted:                 7580
% 3.88/0.99  stat_forwardsubs_attempted:                 2756
% 3.88/0.99  stat_lit_hash_added:                   1644
% 3.88/0.99  stat_lit_hash_computed:               13048
% 3.88/0.99  stat_lit_hash_match_found:             1427
% 3.88/0.99  stat_lit_hash_match_miss:             15066
% 3.88/0.99  stat_lit_hash_cut_ok:                   142
% 3.88/0.99  stat_lit_strong_cut_ok:                  15
% 3.88/0.99  stat_lit_hash_subsume_ok:              1103
% 3.88/0.99  clqueue els 10000000 used 1
% 3.88/0.99  clactive els 10000000 used 293
% 3.88/0.99  clactivesubsume els 10000000 used 1345
% 3.88/0.99  queue_termbuf els 200000000 used 65286
% 3.88/0.99  hyper_termbuf els 100000000 used 1
% 3.88/0.99  active_termbuf els 100000000 used 7464
% 3.88/0.99  varstack els 5000 last used 1
% 3.88/0.99  given_termbuf els 10000000 last used 1
% 3.88/0.99  simplified_termbuf els 10000000 last used 1
% 3.88/0.99  derived_termbuf els 10000000 last used 33
% 3.88/0.99  wr_mallocs: 3286
% 3.88/0.99  wr_callocs: 21
% 3.88/0.99  wr_reallocs: 330
% 3.88/0.99  wr_frees: 2
% 3.88/0.99  wr_malloc_bytes: 4162697444
% 3.88/0.99  wr_calloc_bytes: 112065536
% 3.88/0.99  wr_realloc_bytes: 76672
% 3.88/0.99  wr_realloc_freebytes: 0
% 3.88/0.99  ----------------------------------
%------------------------------------------------------------------------------