TSTP Solution File: ALG174+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ALG174+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n014.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 16:28:08 EDT 2023

% Result   : Theorem 0.20s 0.45s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof('ax3_$sk',plain,
    ( op(op(e4,e4),op(e4,e4)) = e4
    & op(op(e3,e4),op(e4,e3)) = e4
    & op(op(e2,e4),op(e4,e2)) = e4
    & op(op(e1,e4),op(e4,e1)) = e4
    & op(op(e0,e4),op(e4,e0)) = e4
    & op(op(e4,e3),op(e3,e4)) = e3
    & op(op(e3,e3),op(e3,e3)) = e3
    & op(op(e2,e3),op(e3,e2)) = e3
    & op(op(e1,e3),op(e3,e1)) = e3
    & op(op(e0,e3),op(e3,e0)) = e3
    & op(op(e4,e2),op(e2,e4)) = e2
    & op(op(e3,e2),op(e2,e3)) = e2
    & op(op(e2,e2),op(e2,e2)) = e2
    & op(op(e1,e2),op(e2,e1)) = e2
    & op(op(e0,e2),op(e2,e0)) = e2
    & op(op(e4,e1),op(e1,e4)) = e1
    & op(op(e3,e1),op(e1,e3)) = e1
    & op(op(e2,e1),op(e1,e2)) = e1
    & op(op(e1,e1),op(e1,e1)) = e1
    & op(op(e0,e1),op(e1,e0)) = e1
    & op(op(e4,e0),op(e0,e4)) = e0
    & op(op(e3,e0),op(e0,e3)) = e0
    & op(op(e2,e0),op(e0,e2)) = e0
    & op(op(e1,e0),op(e0,e1)) = e0
    & op(op(e0,e0),op(e0,e0)) = e0 ),
    inference(negpush_and_skolemize,[],[ax3]) ).

fof(ax3,axiom,
    ( op(op(e0,e0),op(e0,e0)) = e0
    & op(op(e1,e0),op(e0,e1)) = e0
    & op(op(e2,e0),op(e0,e2)) = e0
    & op(op(e3,e0),op(e0,e3)) = e0
    & op(op(e4,e0),op(e0,e4)) = e0
    & op(op(e0,e1),op(e1,e0)) = e1
    & op(op(e1,e1),op(e1,e1)) = e1
    & op(op(e2,e1),op(e1,e2)) = e1
    & op(op(e3,e1),op(e1,e3)) = e1
    & op(op(e4,e1),op(e1,e4)) = e1
    & op(op(e0,e2),op(e2,e0)) = e2
    & op(op(e1,e2),op(e2,e1)) = e2
    & op(op(e2,e2),op(e2,e2)) = e2
    & op(op(e3,e2),op(e2,e3)) = e2
    & op(op(e4,e2),op(e2,e4)) = e2
    & op(op(e0,e3),op(e3,e0)) = e3
    & op(op(e1,e3),op(e3,e1)) = e3
    & op(op(e2,e3),op(e3,e2)) = e3
    & op(op(e3,e3),op(e3,e3)) = e3
    & op(op(e4,e3),op(e3,e4)) = e3
    & op(op(e0,e4),op(e4,e0)) = e4
    & op(op(e1,e4),op(e4,e1)) = e4
    & op(op(e2,e4),op(e4,e2)) = e4
    & op(op(e3,e4),op(e4,e3)) = e4
    & op(op(e4,e4),op(e4,e4)) = e4 ),
    input ).

fof('ax6_$sk',plain,
    ( e4 = op(e3,op(e3,e3))
    & e2 = op(e3,e3)
    & e1 = op(e3,op(e3,op(e3,e3)))
    & e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) ),
    inference(negpush_and_skolemize,[],[ax6]) ).

fof(ax6,axiom,
    ( e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3)))
    & e1 = op(e3,op(e3,op(e3,e3)))
    & e2 = op(e3,e3)
    & e4 = op(e3,op(e3,e3)) ),
    input ).

fof('co1_$sk',plain,
    ( op(op(e4,e4),e4) = e4
    & op(op(e4,e3),e3) = e4
    & op(op(e4,e2),e2) = e4
    & op(op(e4,e1),e1) = e4
    & op(op(e4,e0),e0) = e4
    & op(op(e3,e4),e4) = e3
    & op(op(e3,e3),e3) = e3
    & op(op(e3,e2),e2) = e3
    & op(op(e3,e1),e1) = e3
    & op(op(e3,e0),e0) = e3
    & op(op(e2,e4),e4) = e2
    & op(op(e2,e3),e3) = e2
    & op(op(e2,e2),e2) = e2
    & op(op(e2,e1),e1) = e2
    & op(op(e2,e0),e0) = e2
    & op(op(e1,e4),e4) = e1
    & op(op(e1,e3),e3) = e1
    & op(op(e1,e2),e2) = e1
    & op(op(e1,e1),e1) = e1
    & op(op(e1,e0),e0) = e1
    & op(op(e0,e4),e4) = e0
    & op(op(e0,e3),e3) = e0
    & op(op(e0,e2),e2) = e0
    & op(op(e0,e1),e1) = e0
    & op(op(e0,e0),e0) = e0
    & ( ( op(e4,e4) != e4
        & op(e4,e3) != e3
        & op(e4,e2) != e2
        & op(e4,e1) != e1
        & op(e4,e0) != e0 )
      | ( op(e3,e4) != e4
        & op(e3,e3) != e3
        & op(e3,e2) != e2
        & op(e3,e1) != e1
        & op(e3,e0) != e0 )
      | ( op(e2,e4) != e4
        & op(e2,e3) != e3
        & op(e2,e2) != e2
        & op(e2,e1) != e1
        & op(e2,e0) != e0 )
      | ( op(e1,e4) != e4
        & op(e1,e3) != e3
        & op(e1,e2) != e2
        & op(e1,e1) != e1
        & op(e1,e0) != e0 )
      | ( op(e0,e4) != e4
        & op(e0,e3) != e3
        & op(e0,e2) != e2
        & op(e0,e1) != e1
        & op(e0,e0) != e0 ) ) ),
    inference(negpush_and_skolemize,[],[co1]) ).

fof(co1,conjecture,
    ~ ( ( ( op(e0,e0) != e0
          & op(e0,e1) != e1
          & op(e0,e2) != e2
          & op(e0,e3) != e3
          & op(e0,e4) != e4 )
        | ( op(e1,e0) != e0
          & op(e1,e1) != e1
          & op(e1,e2) != e2
          & op(e1,e3) != e3
          & op(e1,e4) != e4 )
        | ( op(e2,e0) != e0
          & op(e2,e1) != e1
          & op(e2,e2) != e2
          & op(e2,e3) != e3
          & op(e2,e4) != e4 )
        | ( op(e3,e0) != e0
          & op(e3,e1) != e1
          & op(e3,e2) != e2
          & op(e3,e3) != e3
          & op(e3,e4) != e4 )
        | ( op(e4,e0) != e0
          & op(e4,e1) != e1
          & op(e4,e2) != e2
          & op(e4,e3) != e3
          & op(e4,e4) != e4 ) )
      & op(op(e0,e0),e0) = e0
      & op(op(e0,e1),e1) = e0
      & op(op(e0,e2),e2) = e0
      & op(op(e0,e3),e3) = e0
      & op(op(e0,e4),e4) = e0
      & op(op(e1,e0),e0) = e1
      & op(op(e1,e1),e1) = e1
      & op(op(e1,e2),e2) = e1
      & op(op(e1,e3),e3) = e1
      & op(op(e1,e4),e4) = e1
      & op(op(e2,e0),e0) = e2
      & op(op(e2,e1),e1) = e2
      & op(op(e2,e2),e2) = e2
      & op(op(e2,e3),e3) = e2
      & op(op(e2,e4),e4) = e2
      & op(op(e3,e0),e0) = e3
      & op(op(e3,e1),e1) = e3
      & op(op(e3,e2),e2) = e3
      & op(op(e3,e3),e3) = e3
      & op(op(e3,e4),e4) = e3
      & op(op(e4,e0),e0) = e4
      & op(op(e4,e1),e1) = e4
      & op(op(e4,e2),e2) = e4
      & op(op(e4,e3),e3) = e4
      & op(op(e4,e4),e4) = e4 ),
    input ).

fof('ax5_$sk',plain,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    inference(negpush_and_skolemize,[],[ax5]) ).

fof(ax5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e2 != e3
    & e2 != e4
    & e3 != e4 ),
    input ).

cnf('1',plain,
    op(op(e3,e2),op(e2,e3)) = e2,
    inference(cnf_transformation,[],['ax3_$sk']) ).

cnf('2',plain,
    e4 = op(e3,op(e3,e3)),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('3',plain,
    e2 = op(e3,e3),
    inference(cnf_transformation,[],['ax6_$sk']) ).

cnf('4',plain,
    e4 = op(e3,e2),
    inference(simplify,[],['2','3']) ).

cnf('5',plain,
    op(op(e3,e3),e3) = e3,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('6',plain,
    op(e2,e3) = e3,
    inference(paramodulation,[],['3','5']) ).

cnf('7',plain,
    op(e4,e3) = e2,
    inference(simplify,[then_simplify],['1','4','6']) ).

cnf('8',plain,
    op(op(e4,e3),e3) = e4,
    inference(cnf_transformation,[],['co1_$sk']) ).

cnf('9',plain,
    op(e2,e3) = e4,
    inference(paramodulation,[],['7','8']) ).

cnf('10',plain,
    e3 != e4,
    inference(cnf_transformation,[],['ax5_$sk']) ).

cnf('11',plain,
    $false,
    inference(simplify,[then_simplify],['9','10','6']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG174+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 02:58:01 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                   445
% 0.20/0.39  in_rule_clause_count:              445
% 0.20/0.39  in_fact_clause_count:                0
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:            445
% 0.20/0.39  in_unit_clause_count:              164
% 0.20/0.39  in_horn_clause_count:              316
% 0.20/0.39  in_pos_clause_count:               153
% 0.20/0.39  in_neg_clause_count:               203
% 0.20/0.39  in_poseq_clause_count:             198
% 0.20/0.39  in_negeq_clause_count:             184
% 0.20/0.39  in_unitposeq_clause_count:          54
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             8
% 0.20/0.39  in_min_depth:              1
% 0.20/0.39  in_max_depth:              4
% 0.20/0.39  in_min_size:               3
% 0.20/0.39  in_max_size:              27
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               0
% 0.20/0.39  in_extaxiom_count:                 0
% 0.20/0.39  in_axiom_count:                  214
% 0.20/0.39  in_assumption_count:               0
% 0.20/0.39  in_goal_count:                   231
% 0.20/0.39  in_neg_goal_count:                93
% 0.20/0.39  in_pos_goal_count:                49
% 0.20/0.39  in_posunit_goal_count:            25
% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
% 0.20/0.39  "print":1,
% 0.20/0.39  "print_level": 15,
% 0.20/0.39  "max_size": 0,
% 0.20/0.39  "max_depth": 0,
% 0.20/0.39  "max_length": 0,
% 0.20/0.39  "max_dseconds": 0,
% 0.20/0.39  "runs":[
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.20/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.39  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
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% 0.20/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.39  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.20/0.39  
% 0.20/0.39  ]}
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  **** run 1 fork 0 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 2 fork 1 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 3 fork 2 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 4 fork 3 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 5 fork 4 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 6 fork 5 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 7 fork 6 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.40  
% 0.20/0.40  **** run 8 fork 7 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  result: proof found
% 0.20/0.45  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.45  by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.45  
% 0.20/0.45  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.45  
% 0.20/0.45  run 5 fork 4 statistics:
% 0.20/0.45  ----------------------------------
% 0.20/0.45  this run seconds: 0.017234
% 0.20/0.45  total seconds: 0.054286
% 0.20/0.45  stat_given_used: 262
% 0.20/0.45  stat_given_used_at_endgame: 0
% 0.20/0.45  stat_given_candidates:   319
% 0.20/0.45  stat_given_candidates_at_endgame: 0
% 0.20/0.45  stat_given_candidates_h: 0
% 0.20/0.45  stat_binres_derived_cl:   116
% 0.20/0.45  stat_binres_derived_cl_h: 0
% 0.20/0.45  stat_factor_derived_cl: 0
% 0.20/0.45  stat_para_derived_cl: 358
% 0.20/0.45  stat_tautologies_discarded: 48
% 0.20/0.45  stat_forward_subsumed: 19
% 0.20/0.45  stat_derived_cut: 16
% 0.20/0.45  stat_derived_rewritten: 10
% 0.20/0.45  stat_weight_discarded_building: 0
% 0.20/0.45  stat_weight_discarded_cl: 0
% 0.20/0.45  stat_internlimit_discarded_cl: 0
% 0.20/0.45  stat_simplified:  17 simplified 0 derived 0 given
% 0.20/0.45  stat_kept_cl: 247
% 0.20/0.45  stat_built_cl: 787
% 0.20/0.45  stat_hyperres_partial_cl: 0
% 0.20/0.45  stat_made_rewriters: 55
% 0.20/0.45  stat_backward_subsumed: 0
% 0.20/0.45  stat_propagated_subsumed: 0
% 0.20/0.45  stat_clsubs_attempted:                       412
% 0.20/0.45  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.45  stat_clsubs_rule_groundunit_found:             0
% 0.20/0.45  stat_clsubs_top_meta_attempted:              27907
% 0.20/0.45  stat_clsubs_top_meta_failed:                 27495
% 0.20/0.45  stat_clsubs_top_meta_nonpref_attempted:               27907
% 0.20/0.45  stat_clsubs_top_meta_nonpref_succeeded:               11856
% 0.20/0.45  stat_clsubs_top_meta_pref_attempted:                  11856
% 0.20/0.45  stat_clsubs_top_meta_pref1_succeeded:                  7440
% 0.20/0.45  stat_clsubs_top_meta_pref2_succeeded:                   528
% 0.20/0.45  stat_clsubs_top_meta_pref3_succeeded:                   412
% 0.20/0.45  stat_clsubs_top_meta_pref_succeeded:                    412
% 0.20/0.45  stat_clsubs_meta_attempted:                  712
% 0.20/0.45  stat_clsubs_meta_failed:                     603
% 0.20/0.45  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.45  stat_clsubs_unit_attempted:                    0
% 0.20/0.45  stat_clsubs_full_attempted:                  412
% 0.20/0.45  stat_forwardsubs_attempted:                  266
% 0.20/0.45  stat_lit_hash_added:                    464
% 0.20/0.45  stat_lit_hash_computed:                4406
% 0.20/0.45  stat_lit_hash_match_found:               28
% 0.20/0.45  stat_lit_hash_match_miss:              5052
% 0.20/0.45  stat_lit_hash_cut_ok:                    16
% 0.20/0.45  stat_lit_strong_cut_ok:                   0
% 0.20/0.45  stat_lit_hash_subsume_ok:                19
% 0.20/0.45  clqueue els 10000000 used 1
% 0.20/0.45  clactive els 10000000 used 263
% 0.20/0.45  clactivesubsume els 10000000 used 1237
% 0.20/0.45  queue_termbuf els 200000000 used 17521
% 0.20/0.45  hyper_termbuf els 100000000 used 1
% 0.20/0.45  active_termbuf els 100000000 used 8644
% 0.20/0.45  varstack els 5000 last used 1
% 0.20/0.45  given_termbuf els 10000000 last used 1
% 0.20/0.45  simplified_termbuf els 10000000 last used 1
% 0.20/0.45  derived_termbuf els 10000000 last used 3
% 0.20/0.45  wr_mallocs: 2700
% 0.20/0.45  wr_callocs: 21
% 0.20/0.45  wr_reallocs: 127
% 0.20/0.45  wr_frees: 4
% 0.20/0.45  wr_malloc_bytes: 4162685524
% 0.20/0.45  wr_calloc_bytes: 112065536
% 0.20/0.45  wr_realloc_bytes: 41464
% 0.20/0.45  wr_realloc_freebytes: 0
% 0.20/0.45  ----------------------------------
%------------------------------------------------------------------------------