TSTP Solution File: ALG406-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG406-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:29:15 EDT 2023

% Result   : Unsatisfiable 1.74s 0.76s
% Output   : CNFRefutation 1.74s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named cls_mult__left__le__one__le_0)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X,Y,Z),Y,Z)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(Z),Y,Z)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(Z),X,Z)
    | ~ c_lessequals(X,c_HOL_Oone__class_Oone(Z),Z)
    | ~ class_Ring__and__Field_Oordered__idom(Z) ),
    inference(cnf_transformation,[],[cls_mult__left__le__one__le_0]) ).

cnf('2',plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(Z,Y,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),Y,tc_RealDef_Oreal)
    | ~ c_lessequals(X,Z,tc_RealDef_Oreal) ),
    inference(cnf_transformation,[],[cls_real__mult__le__cancel__iff1_1]) ).

cnf('3',plain,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(cnf_transformation,[],[cls_conjecture_0]) ).

cnf('4',plain,
    ( ~ c_HOL_Oord__class_Oless(X,Y,tc_RealDef_Oreal)
    | c_lessequals(X,Y,tc_RealDef_Oreal) ),
    inference(cnf_transformation,[],[cls_real__less__def_0]) ).

cnf('5',plain,
    c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(cnf_transformation,[],[cls_t_I2_J_0]) ).

cnf('6',plain,
    c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(resolution,[],['4','5']) ).

cnf('7',plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(resolution,[then_simplify],['2','3','6']) ).

cnf('8',plain,
    ( ~ c_lessequals(X,Y,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X,Y,tc_RealDef_Oreal)
    | X = Y ),
    inference(cnf_transformation,[],[cls_real__less__def_2]) ).

cnf('9',plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X,Y),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(Y) ),
    inference(cnf_transformation,[],[cls_norm__ge__zero_0]) ).

cnf('10',plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).

cnf('11',plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(resolution,[],['9','10']) ).

cnf('12',plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),
    inference(resolution,[then_simplify],['7','8','11']) ).

cnf('13',plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X,tc_RealDef_Oreal) = X,
    inference(cnf_transformation,[],[cls_real__mult__1_0]) ).

cnf('14',plain,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(paramodulation,[],['13','3']) ).

cnf('15',plain,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(paramodulation,[],['12','14']) ).

cnf('16',plain,
    ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(simplify,[],['15','12']) ).

cnf('17',plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X),X) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X) ),
    inference(cnf_transformation,[],[cls_norm__zero_0]) ).

cnf('18',plain,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).

cnf('19',plain,
    c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(resolution,[],['17','18']) ).

cnf('20',plain,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).

cnf('21',plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(paramodulation,[then_simplify],['19','9','20']) ).

cnf('22',plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    inference(cnf_transformation,[],[cls_t_I1_J_0]) ).

cnf('23',plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
    inference(resolution,[],['4','22']) ).

cnf('24',plain,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom]) ).

cnf('25',plain,
    $false,
    inference(resolution,[then_simplify],['1','16','21','23','6','24']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG406-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 02:46:02 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.41  
% 0.13/0.41  input clause set summed statistics:
% 0.13/0.41  ----------------------------------
% 0.13/0.41  in_clause_count:                   678
% 0.13/0.41  in_rule_clause_count:              558
% 0.13/0.41  in_fact_clause_count:              120
% 0.13/0.41  in_answer_clause_count:              0
% 0.13/0.41  in_ground_clause_count:            130
% 0.13/0.41  in_unit_clause_count:              144
% 0.13/0.41  in_horn_clause_count:              608
% 0.13/0.41  in_pos_clause_count:               142
% 0.13/0.41  in_neg_clause_count:                27
% 0.13/0.41  in_poseq_clause_count:             244
% 0.13/0.41  in_negeq_clause_count:              53
% 0.13/0.41  in_unitposeq_clause_count:          13
% 0.13/0.41  in_chain_clause_count:               0
% 0.13/0.41  in_min_length:             1
% 0.13/0.41  in_max_length:             6
% 0.13/0.41  in_min_depth:              1
% 0.13/0.41  in_max_depth:              5
% 0.13/0.41  in_min_size:               2
% 0.13/0.41  in_max_size:              33
% 0.13/0.41  in_min_vars:               0
% 0.13/0.41  in_max_vars:               5
% 0.13/0.41  in_extaxiom_count:                 0
% 0.13/0.41  in_axiom_count:                  677
% 0.13/0.41  in_assumption_count:               0
% 0.13/0.41  in_goal_count:                     1
% 0.13/0.41  in_neg_goal_count:                 1
% 0.13/0.41  in_pos_goal_count:                 0
% 0.13/0.41  in_posunit_goal_count:             0
% 0.13/0.41  
% 0.13/0.41  auto guide:
% 0.13/0.41  -----------
% 0.13/0.41  {
% 0.13/0.41  "print":1,
% 0.13/0.41  "print_level": 15,
% 0.13/0.41  "max_size": 0,
% 0.13/0.41  "max_depth": 0,
% 0.13/0.41  "max_length": 0,
% 0.13/0.41  "max_dseconds": 0,
% 0.13/0.41  "runs":[
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.13/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.13/0.41  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.13/0.41  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.13/0.41  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.13/0.41  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.13/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.13/0.41  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.13/0.41  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.13/0.41  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.13/0.41  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.13/0.41  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.13/0.41  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.13/0.41  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.13/0.41  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.13/0.41  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.13/0.41  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.13/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.13/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.13/0.41  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.13/0.41  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.13/0.41  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.13/0.41  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.13/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
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% 0.13/0.41  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.13/0.41  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.13/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.13/0.41  
% 0.13/0.41  ]}
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  **** run 1 fork 0 starts with strategy
% 0.13/0.41  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.13/0.41  
% 0.13/0.41  **** run 2 fork 1 starts with strategy
% 0.13/0.41  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.13/0.41  
% 0.13/0.41  **** run 3 fork 2 starts with strategy
% 0.13/0.41  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.13/0.41  
% 0.13/0.41  **** run 4 fork 3 starts with strategy
% 0.13/0.41  
% 0.13/0.41  **** run 5 fork 4 starts with strategy
% 0.13/0.41  
% 0.13/0.41  **** run 7 fork 6 starts with strategy
% 0.13/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.41  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.41  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.41  
% 0.19/0.41  **** run 6 fork 5 starts with strategy
% 0.19/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  **** run 8 fork 7 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  fork 5: search terminated without proof.
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  fork 3: search terminated without proof.
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  fork 2: search terminated without proof.
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  fork 4: search terminated without proof.
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  fork 1: search terminated without proof.
% 0.19/0.57  
% 0.19/0.57  **** run 14 fork 5 starts with strategy
% 0.19/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.58  
% 0.19/0.58  
% 0.19/0.58  fork 0: search terminated without proof.
% 0.19/0.58  
% 0.19/0.58  **** run 12 fork 3 starts with strategy
% 0.19/0.58  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.58  
% 0.19/0.58  **** run 11 fork 2 starts with strategy
% 0.19/0.58  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.59  
% 0.19/0.59  **** run 13 fork 4 starts with strategy
% 0.19/0.59  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.59  
% 0.19/0.59  **** run 10 fork 1 starts with strategy
% 0.19/0.59  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.60  
% 0.19/0.60  **** run 9 fork 0 starts with strategy
% 0.19/0.60  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.71  
% 0.19/0.71  
% 0.19/0.71  fork 5: search terminated without proof.
% 0.19/0.71  
% 0.19/0.71  
% 0.19/0.71  fork 3: search terminated without proof.
% 0.19/0.71  
% 0.19/0.71  
% 0.19/0.71  fork 4: search terminated without proof.
% 0.19/0.73  
% 0.19/0.73  **** run 20 fork 3 starts with strategy
% 0.19/0.73  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.73  
% 0.19/0.73  
% 0.19/0.73  fork 0: search terminated without proof.
% 0.19/0.74  
% 0.19/0.74  **** run 22 fork 5 starts with strategy
% 0.19/0.74  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 0.19/0.74  
% 0.19/0.74  **** run 21 fork 4 starts with strategy
% 0.19/0.74  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.76  
% 0.19/0.76  **** run 17 fork 0 starts with strategy
% 0.19/0.76  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.74/0.76  
% 1.74/0.76  
% 1.74/0.76  result: proof found
% 1.74/0.76  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.74/0.76  by run 7 fork 6 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 1.74/0.76  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.74/0.76  
% 1.74/0.76  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 1.74/0.76  
% 1.74/0.76  run 7 fork 6 statistics:
% 1.74/0.76  ----------------------------------
% 1.74/0.76  this run seconds: 0.035822
% 1.74/0.76  total seconds: 0.078145
% 1.74/0.76  stat_given_used: 350
% 1.74/0.76  stat_given_used_at_endgame: 0
% 1.74/0.76  stat_given_candidates:   609
% 1.74/0.76  stat_given_candidates_at_endgame: 0
% 1.74/0.76  stat_given_candidates_h: 0
% 1.74/0.76  stat_binres_derived_cl:   569
% 1.74/0.76  stat_binres_derived_cl_h: 0
% 1.74/0.76  stat_factor_derived_cl: 13
% 1.74/0.76  stat_para_derived_cl: 1570
% 1.74/0.76  stat_tautologies_discarded: 39
% 1.74/0.76  stat_forward_subsumed: 526
% 1.74/0.76  stat_derived_cut: 133
% 1.74/0.76  stat_derived_rewritten: 27
% 1.74/0.76  stat_weight_discarded_building: 0
% 1.74/0.76  stat_weight_discarded_cl: 0
% 1.74/0.76  stat_internlimit_discarded_cl: 0
% 1.74/0.76  stat_simplified:  27 simplified 0 derived 0 given
% 1.74/0.76  stat_kept_cl: 1368
% 1.74/0.76  stat_built_cl: 2095
% 1.74/0.76  stat_hyperres_partial_cl: 0
% 1.74/0.76  stat_made_rewriters: 66
% 1.74/0.76  stat_backward_subsumed: 0
% 1.74/0.76  stat_propagated_subsumed: 0
% 1.74/0.76  stat_clsubs_attempted:                       560
% 1.74/0.76  stat_clsubs_fact_groundunit_found:            11
% 1.74/0.76  stat_clsubs_rule_groundunit_found:            23
% 1.74/0.76  stat_clsubs_top_meta_attempted:              19865
% 1.74/0.76  stat_clsubs_top_meta_failed:                 19305
% 1.74/0.76  stat_clsubs_top_meta_nonpref_attempted:               19865
% 1.74/0.76  stat_clsubs_top_meta_nonpref_succeeded:                5923
% 1.74/0.76  stat_clsubs_top_meta_pref_attempted:                   5923
% 1.74/0.76  stat_clsubs_top_meta_pref1_succeeded:                  1981
% 1.74/0.76  stat_clsubs_top_meta_pref2_succeeded:                   866
% 1.74/0.76  stat_clsubs_top_meta_pref3_succeeded:                   560
% 1.74/0.76  stat_clsubs_top_meta_pref_succeeded:                    560
% 1.74/0.76  stat_clsubs_meta_attempted:                  765
% 1.74/0.76  stat_clsubs_meta_failed:                     195
% 1.74/0.76  stat_clsubs_predsymbs_attempted:               0
% 1.74/0.76  stat_clsubs_unit_attempted:                  346
% 1.74/0.76  stat_clsubs_full_attempted:                  214
% 1.74/0.76  stat_forwardsubs_attempted:                 1895
% 1.74/0.76  stat_lit_hash_added:                   2410
% 1.74/0.76  stat_lit_hash_computed:                6700
% 1.74/0.76  stat_lit_hash_match_found:              809
% 1.74/0.76  stat_lit_hash_match_miss:              5979
% 1.74/0.76  stat_lit_hash_cut_ok:                   183
% 1.74/0.76  stat_lit_strong_cut_ok:                   7
% 1.74/0.76  stat_lit_hash_subsume_ok:               526
% 1.74/0.76  clqueue els 10000000 used 1
% 1.74/0.76  clactive els 10000000 used 351
% 1.74/0.76  clactivesubsume els 10000000 used 949
% 1.74/0.76  queue_termbuf els 200000000 used 115629
% 1.74/0.76  hyper_termbuf els 100000000 used 1
% 1.74/0.76  active_termbuf els 100000000 used 13029
% 1.74/0.76  varstack els 5000 last used 1
% 1.74/0.76  given_termbuf els 10000000 last used 1
% 1.74/0.76  simplified_termbuf els 10000000 last used 1
% 1.74/0.76  derived_termbuf els 10000000 last used 78
% 1.74/0.76  wr_mallocs: 9135
% 1.74/0.76  wr_callocs: 21
% 1.74/0.76  wr_reallocs: 483
% 1.74/0.76  wr_frees: 4
% 1.74/0.76  wr_malloc_bytes: 4162917604
% 1.74/0.76  wr_calloc_bytes: 112065536
% 1.74/0.76  wr_realloc_bytes: 119400
% 1.74/0.76  wr_realloc_freebytes: 0
% 1.74/0.76  ----------------------------------
%------------------------------------------------------------------------------