TSTP Solution File: GRP039-7 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:52:04 EDT 2023

% Result   : Unsatisfiable 2.93s 0.76s
% Output   : CNFRefutation 2.93s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named a_times_c_is_d)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    multiply(a,c) = d,
    inference(cnf_transformation,[],[a_times_c_is_d]) ).

cnf('2',plain,
    ( multiply(X,element_in_O2(X,Y)) = Y
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(cnf_transformation,[],[property_of_O2]) ).

cnf('3',plain,
    multiply(X,inverse(X)) = identity,
    inference(cnf_transformation,[],[right_inverse]) ).

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

cnf('5',plain,
    multiply(identity,X3) = multiply(Y3,multiply(inverse(Y3),X3)),
    inference(paramodulation,[],['3','4']) ).

cnf('6',plain,
    multiply(identity,X) = X,
    inference(cnf_transformation,[],['$inc_left_identity']) ).

cnf('7',plain,
    X = multiply(Y,multiply(inverse(Y),X)),
    inference(simplify,[],['5','6']) ).

cnf('8',plain,
    ( element_in_O2(inverse(X),Y) = multiply(X,Y)
    | subgroup_member(inverse(X))
    | subgroup_member(Y) ),
    inference(paramodulation,[],['2','7']) ).

cnf('9',plain,
    multiply(multiply(X3,Y3),inverse(Y3)) = multiply(X3,identity),
    inference(paramodulation,[],['3','4']) ).

cnf('10',plain,
    multiply(X,identity) = X,
    inference(cnf_transformation,[],[right_identity]) ).

cnf('11',plain,
    multiply(multiply(X,Y),inverse(Y)) = X,
    inference(simplify,[],['9','10']) ).

cnf('12',plain,
    ( multiply(X,Y) != Z
    | ~ subgroup_member(Y)
    | ~ subgroup_member(X)
    | subgroup_member(Z) ),
    inference(cnf_transformation,[],['$inc_closure_of_multiply']) ).

cnf('13',plain,
    ( ~ subgroup_member(multiply(X,Y))
    | ~ subgroup_member(inverse(Y))
    | X != Z
    | subgroup_member(Z) ),
    inference(paramodulation,[],['11','12']) ).

cnf('14',plain,
    ( ~ subgroup_member(multiply(X,Y))
    | ~ subgroup_member(inverse(Y))
    | subgroup_member(X) ),
    inference(resolution,[],['12','11']) ).

cnf('15',plain,
    ( ~ subgroup_member(inverse(inverse(Y3)))
    | subgroup_member(multiply(X3,Y3))
    | ~ subgroup_member(X3) ),
    inference(paramodulation,[],['11','14']) ).

cnf('16',plain,
    inverse(inverse(X)) = X,
    inference(cnf_transformation,[],[inverse_inverse]) ).

cnf('17',plain,
    ( ~ subgroup_member(X)
    | subgroup_member(multiply(Y,X))
    | ~ subgroup_member(Y) ),
    inference(simplify,[],['15','16']) ).

cnf('18',plain,
    ( subgroup_member(inverse(X))
    | ~ subgroup_member(X) ),
    inference(cnf_transformation,[],['$inc_closure_of_inverse']) ).

cnf('19',plain,
    subgroup_member(b),
    inference(cnf_transformation,[],[b_in_O2]) ).

cnf('20',plain,
    subgroup_member(inverse(b)),
    inference(resolution,[],['18','19']) ).

cnf('21',plain,
    ( subgroup_member(multiply(X,inverse(b)))
    | ~ subgroup_member(X) ),
    inference(resolution,[],['17','20']) ).

cnf('22',plain,
    ( subgroup_member(element_in_O2(X,Y))
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(cnf_transformation,[],[an_element_in_O2]) ).

cnf('23',plain,
    ( subgroup_member(multiply(element_in_O2(X,Y),inverse(b)))
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(resolution,[],['21','22']) ).

cnf('24',plain,
    subgroup_member(inverse(inverse(b))),
    inference(resolution,[],['20','18']) ).

cnf('25',plain,
    ( element_in_O2(X,Y) != Z
    | subgroup_member(Z)
    | subgroup_member(Y)
    | subgroup_member(X) ),
    inference(resolution,[then_simplify],['13','23','24']) ).

cnf('26',plain,
    ( subgroup_member(multiply(X,Y))
    | subgroup_member(inverse(X))
    | subgroup_member(Y) ),
    inference(resolution,[],['8','25']) ).

cnf('27',plain,
    ~ subgroup_member(d),
    inference(cnf_transformation,[],[prove_d_in_O2]) ).

cnf('28',plain,
    ( subgroup_member(inverse(a))
    | subgroup_member(c) ),
    inference(paramodulation,[then_simplify],['1','26','27']) ).

cnf('29',plain,
    multiply(b,inverse(a)) = c,
    inference(cnf_transformation,[],[b_times_a_inverse_is_c]) ).

cnf('30',plain,
    subgroup_member(b),
    inference(cnf_transformation,[],[b_in_O2]) ).

cnf('31',plain,
    ( ~ subgroup_member(inverse(a))
    | subgroup_member(c) ),
    inference(resolution,[then_simplify],['12','29','30']) ).

cnf('32',plain,
    subgroup_member(c),
    inference(resolution,[],['28','31']) ).

cnf('33',plain,
    multiply(c,inverse(inverse(a))) = b,
    inference(paramodulation,[],['29','11']) ).

cnf('34',plain,
    multiply(c,a) = b,
    inference(simplify,[],['33','16']) ).

cnf('35',plain,
    multiply(multiply(X,a),c) = multiply(X,d),
    inference(paramodulation,[],['1','4']) ).

cnf('36',plain,
    ( ~ subgroup_member(c)
    | ~ subgroup_member(multiply(X,a))
    | subgroup_member(multiply(X,d)) ),
    inference(resolution,[],['12','35']) ).

cnf('37',plain,
    ( ~ subgroup_member(c)
    | subgroup_member(multiply(c,d)) ),
    inference(paramodulation,[then_simplify],['34','36','30']) ).

cnf('38',plain,
    subgroup_member(multiply(c,d)),
    inference(resolution,[],['32','37']) ).

cnf('39',plain,
    ( ~ subgroup_member(multiply(inverse(X),Y))
    | Y != Z
    | ~ subgroup_member(X)
    | subgroup_member(Z) ),
    inference(paramodulation,[],['7','12']) ).

cnf('40',plain,
    ( ~ subgroup_member(multiply(inverse(X),Y))
    | ~ subgroup_member(X)
    | subgroup_member(Y) ),
    inference(reflexivity,[],['39']) ).

cnf('41',plain,
    ( ~ subgroup_member(multiply(X,Y))
    | ~ subgroup_member(inverse(X))
    | subgroup_member(Y) ),
    inference(paramodulation,[],['16','40']) ).

cnf('42',plain,
    subgroup_member(inverse(c)),
    inference(resolution,[],['32','18']) ).

cnf('43',plain,
    $false,
    inference(resolution,[then_simplify],['38','41','42','27']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.03/0.13  % Command  : gkc %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 20:49:50 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38  input clause set summed statistics:
% 0.19/0.38  ----------------------------------
% 0.19/0.38  in_clause_count:                    16
% 0.19/0.38  in_rule_clause_count:               14
% 0.19/0.38  in_fact_clause_count:                2
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:              6
% 0.19/0.38  in_unit_clause_count:               12
% 0.19/0.38  in_horn_clause_count:               14
% 0.19/0.38  in_pos_clause_count:                13
% 0.19/0.38  in_neg_clause_count:                 1
% 0.19/0.38  in_poseq_clause_count:              10
% 0.19/0.38  in_negeq_clause_count:               1
% 0.19/0.38  in_unitposeq_clause_count:           9
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             4
% 0.19/0.38  in_min_depth:              1
% 0.19/0.38  in_max_depth:              3
% 0.19/0.38  in_min_size:               2
% 0.19/0.38  in_max_size:              11
% 0.19/0.38  in_min_vars:               0
% 0.19/0.38  in_max_vars:               3
% 0.19/0.38  in_extaxiom_count:                 5
% 0.19/0.38  in_axiom_count:                    7
% 0.19/0.38  in_assumption_count:               0
% 0.19/0.38  in_goal_count:                     4
% 0.19/0.38  in_neg_goal_count:                 1
% 0.19/0.38  in_pos_goal_count:                 3
% 0.19/0.38  in_posunit_goal_count:             3
% 0.19/0.38  
% 0.19/0.38  auto guide:
% 0.19/0.38  -----------
% 0.19/0.38  {
% 0.19/0.38  "print":1,
% 0.19/0.38  "print_level": 15,
% 0.19/0.38  "max_size": 0,
% 0.19/0.38  "max_depth": 0,
% 0.19/0.38  "max_length": 0,
% 0.19/0.38  "max_dseconds": 0,
% 0.19/0.38  "runs":[
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38  {"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},
% 0.19/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.19/0.38  {"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},
% 0.19/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
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% 0.19/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.19/0.38  {"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},
% 0.19/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38  
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.19/0.38  
% 0.19/0.38  ]}
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  **** run 1 fork 0 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 2 fork 1 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 3 fork 2 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 4 fork 3 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 5 fork 4 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 6 fork 5 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 7 fork 6 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 2: search terminated without proof.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  fork 5: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 6: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 3: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 0: search terminated without proof.
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  fork 4: search terminated without proof.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  fork 7: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 1: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  **** run 14 fork 5 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.19/0.54  
% 0.19/0.54  **** run 11 fork 2 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.54  
% 0.19/0.54  **** run 15 fork 6 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.54  
% 0.19/0.54  **** run 13 fork 4 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.54  
% 0.19/0.54  **** run 9 fork 0 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.54  
% 0.19/0.54  **** run 12 fork 3 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.19/0.55  
% 0.19/0.55  **** run 10 fork 1 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.56  
% 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}
% 2.16/0.64  
% 2.16/0.64  
% 2.16/0.64  fork 5: search terminated without proof.
% 2.20/0.65  
% 2.20/0.65  
% 2.20/0.65  fork 6: search terminated without proof.
% 2.20/0.66  
% 2.20/0.66  
% 2.20/0.66  fork 4: search terminated without proof.
% 2.20/0.66  
% 2.20/0.66  **** run 22 fork 5 starts with strategy
% 2.20/0.66  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.20/0.66  
% 2.20/0.66  
% 2.20/0.66  fork 3: search terminated without proof.
% 2.20/0.66  
% 2.20/0.66  
% 2.20/0.66  fork 2: search terminated without proof.
% 2.20/0.67  
% 2.20/0.67  
% 2.20/0.67  fork 7: search terminated without proof.
% 2.20/0.68  
% 2.20/0.68  
% 2.20/0.68  fork 1: search terminated without proof.
% 2.20/0.68  
% 2.20/0.68  **** run 21 fork 4 starts with strategy
% 2.20/0.68  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.20/0.68  
% 2.20/0.68  **** run 23 fork 6 starts with strategy
% 2.20/0.68  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 2.20/0.68  
% 2.20/0.68  **** run 19 fork 2 starts with strategy
% 2.20/0.68  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 2.20/0.69  
% 2.20/0.69  **** run 20 fork 3 starts with strategy
% 2.20/0.69  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 2.20/0.69  
% 2.20/0.69  **** run 24 fork 7 starts with strategy
% 2.20/0.69  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 2.20/0.70  
% 2.20/0.70  **** run 18 fork 1 starts with strategy
% 2.20/0.70  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.93/0.76  
% 2.93/0.76  
% 2.93/0.76  result: proof found
% 2.93/0.76  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 2.93/0.76  by run 22 fork 5 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.93/0.76  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 2.93/0.76  
% 2.93/0.76  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 2.93/0.76  
% 2.93/0.76  run 22 fork 5 statistics:
% 2.93/0.76  ----------------------------------
% 2.93/0.76  this run seconds: 0.065257
% 2.93/0.76  total seconds: 0.376761
% 2.93/0.76  stat_given_used: 257
% 2.93/0.76  stat_given_used_at_endgame: 0
% 2.93/0.76  stat_given_candidates:   862
% 2.93/0.76  stat_given_candidates_at_endgame: 0
% 2.93/0.76  stat_given_candidates_h: 0
% 2.93/0.76  stat_binres_derived_cl:   4708
% 2.93/0.76  stat_binres_derived_cl_h: 0
% 2.93/0.76  stat_factor_derived_cl: 64
% 2.93/0.76  stat_para_derived_cl: 512
% 2.93/0.76  stat_tautologies_discarded: 44
% 2.93/0.76  stat_forward_subsumed: 675
% 2.93/0.76  stat_derived_cut: 129
% 2.93/0.76  stat_derived_rewritten: 116
% 2.93/0.76  stat_weight_discarded_building: 0
% 2.93/0.76  stat_weight_discarded_cl: 773
% 2.93/0.76  stat_internlimit_discarded_cl: 0
% 2.93/0.76  stat_simplified:  116 simplified 0 derived 0 given
% 2.93/0.76  stat_kept_cl: 3755
% 2.93/0.76  stat_built_cl: 5158
% 2.93/0.76  stat_hyperres_partial_cl: 0
% 2.93/0.76  stat_made_rewriters: 28
% 2.93/0.76  stat_backward_subsumed: 0
% 2.93/0.76  stat_propagated_subsumed: 0
% 2.93/0.76  stat_clsubs_attempted:                      1995
% 2.93/0.76  stat_clsubs_fact_groundunit_found:             2
% 2.93/0.76  stat_clsubs_rule_groundunit_found:             2
% 2.93/0.76  stat_clsubs_top_meta_attempted:              49805
% 2.93/0.76  stat_clsubs_top_meta_failed:                 47810
% 2.93/0.76  stat_clsubs_top_meta_nonpref_attempted:               49805
% 2.93/0.76  stat_clsubs_top_meta_nonpref_succeeded:               11059
% 2.93/0.76  stat_clsubs_top_meta_pref_attempted:                  11059
% 2.93/0.76  stat_clsubs_top_meta_pref1_succeeded:                  5448
% 2.93/0.76  stat_clsubs_top_meta_pref2_succeeded:                  2852
% 2.93/0.76  stat_clsubs_top_meta_pref3_succeeded:                  1995
% 2.93/0.76  stat_clsubs_top_meta_pref_succeeded:                   1995
% 2.93/0.76  stat_clsubs_meta_attempted:                 3743
% 2.93/0.76  stat_clsubs_meta_failed:                    1240
% 2.93/0.76  stat_clsubs_predsymbs_attempted:               0
% 2.93/0.76  stat_clsubs_unit_attempted:                  240
% 2.93/0.76  stat_clsubs_full_attempted:                 1755
% 2.93/0.76  stat_forwardsubs_attempted:                 5204
% 2.93/0.76  stat_lit_hash_added:                   4494
% 2.93/0.76  stat_lit_hash_computed:               22186
% 2.93/0.76  stat_lit_hash_match_found:             1047
% 2.93/0.76  stat_lit_hash_match_miss:             22967
% 2.93/0.76  stat_lit_hash_cut_ok:                   241
% 2.93/0.76  stat_lit_strong_cut_ok:                   1
% 2.93/0.76  stat_lit_hash_subsume_ok:               675
% 2.93/0.76  clqueue els 10000000 used 1
% 2.93/0.76  clactive els 10000000 used 258
% 2.93/0.76  clactivesubsume els 10000000 used 1225
% 2.93/0.76  queue_termbuf els 200000000 used 250075
% 2.93/0.76  hyper_termbuf els 100000000 used 1
% 2.93/0.76  active_termbuf els 100000000 used 9817
% 2.93/0.76  varstack els 5000 last used 1
% 2.93/0.76  given_termbuf els 10000000 last used 1
% 2.93/0.76  simplified_termbuf els 10000000 last used 1
% 2.93/0.76  derived_termbuf els 10000000 last used 36
% 2.93/0.76  wr_mallocs: 8100
% 2.93/0.76  wr_callocs: 21
% 2.93/0.76  wr_reallocs: 1097
% 2.93/0.76  wr_frees: 2
% 2.93/0.76  wr_malloc_bytes: 4162869204
% 2.93/0.76  wr_calloc_bytes: 112065536
% 2.93/0.76  wr_realloc_bytes: 206784
% 2.93/0.76  wr_realloc_freebytes: 0
% 2.93/0.76  ----------------------------------
%------------------------------------------------------------------------------