TSTP Solution File: FLD030-4 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : FLD030-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n017.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 22:32:03 EDT 2023

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named product_5)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    product(a,b,c),
    inference(cnf_transformation,[],[product_5]) ).

cnf('2',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,V)
    | ~ product(U,W,Y)
    | product(V,W,Z) ),
    inference(cnf_transformation,[],['$inc_associativity_multiplication_2']) ).

cnf('3',plain,
    ( ~ product(X,c,Y)
    | ~ product(X,a,Z)
    | product(Z,b,Y) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    ( product(multiplicative_identity,X,X)
    | ~ defined(X) ),
    inference(cnf_transformation,[],['$inc_existence_of_identity_multiplication']) ).

cnf('5',plain,
    defined(c),
    inference(cnf_transformation,[],[c_is_defined]) ).

cnf('6',plain,
    ( ~ product(multiplicative_identity,a,X)
    | product(X,b,c) ),
    inference(resolution,[then_simplify],['3','4','5']) ).

cnf('7',plain,
    product(multiplicative_identity,a,d),
    inference(cnf_transformation,[],[product_6]) ).

cnf('8',plain,
    ~ product(d,b,c),
    inference(cnf_transformation,[],[not_product_7]) ).

cnf('9',plain,
    $false,
    inference(resolution,[then_simplify],['6','7','8']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD030-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 23:31:57 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.39  
% 0.13/0.39  input clause set summed statistics:
% 0.13/0.39  ----------------------------------
% 0.13/0.39  in_clause_count:                    33
% 0.13/0.39  in_rule_clause_count:               25
% 0.13/0.39  in_fact_clause_count:                8
% 0.13/0.39  in_answer_clause_count:              0
% 0.13/0.39  in_ground_clause_count:             10
% 0.13/0.39  in_unit_clause_count:               10
% 0.13/0.39  in_horn_clause_count:               30
% 0.13/0.39  in_pos_clause_count:                 8
% 0.13/0.39  in_neg_clause_count:                 2
% 0.13/0.39  in_poseq_clause_count:               0
% 0.13/0.39  in_negeq_clause_count:               0
% 0.13/0.39  in_unitposeq_clause_count:           0
% 0.13/0.39  in_chain_clause_count:               0
% 0.13/0.39  in_min_length:             1
% 0.13/0.39  in_max_length:             5
% 0.13/0.39  in_min_depth:              1
% 0.13/0.39  in_max_depth:              2
% 0.13/0.39  in_min_size:               2
% 0.13/0.39  in_max_size:              20
% 0.13/0.39  in_min_vars:               0
% 0.13/0.39  in_max_vars:               7
% 0.13/0.39  in_extaxiom_count:                26
% 0.13/0.39  in_axiom_count:                    0
% 0.13/0.39  in_assumption_count:               4
% 0.13/0.39  in_goal_count:                     3
% 0.13/0.39  in_neg_goal_count:                 1
% 0.13/0.39  in_pos_goal_count:                 2
% 0.13/0.39  in_posunit_goal_count:             2
% 0.13/0.39  
% 0.13/0.39  auto guide:
% 0.13/0.39  -----------
% 0.13/0.39  {
% 0.13/0.39  "print":1,
% 0.13/0.39  "print_level": 15,
% 0.13/0.39  "max_size": 0,
% 0.13/0.39  "max_depth": 0,
% 0.13/0.39  "max_length": 0,
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% 0.13/0.39  "equality":0,
% 0.13/0.39  "runs":[
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% 0.13/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
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% 0.13/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.39  
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% 0.13/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.39  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.39  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
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% 0.13/0.39  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
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% 0.13/0.39  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
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% 0.13/0.39  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.13/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.13/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.13/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.39  
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% 0.13/0.39  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
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% 0.13/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
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% 0.13/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.13/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.13/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.13/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.13/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
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% 0.13/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.13/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.13/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.13/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.13/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.39  
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% 0.13/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.13/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.13/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.13/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.13/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.13/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.13/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.13/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.13/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
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% 0.13/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.13/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.13/0.39  
% 0.13/0.39  ]}
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  **** run 1 fork 0 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.39  
% 0.13/0.39  **** run 2 fork 1 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.39  
% 0.13/0.39  **** run 3 fork 2 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.39  
% 0.13/0.39  **** run 4 fork 3 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.39  
% 0.13/0.39  **** run 5 fork 4 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.13/0.39  
% 0.13/0.39  **** run 6 fork 5 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.39  
% 0.13/0.39  **** run 7 fork 6 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.21/0.40  
% 0.21/0.40  **** run 8 fork 7 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.43  
% 0.21/0.43  fork 1: search finished without proof.
% 0.21/0.46  
% 0.21/0.46  **** run 10 fork 1 starts with strategy
% 0.21/0.46  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  fork 5: search terminated without proof.
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  fork 6: search terminated without proof.
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  fork 0: search terminated without proof.
% 0.21/0.52  
% 0.21/0.52  fork 3: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  fork 7: search terminated without proof.
% 0.21/0.53  
% 0.21/0.53  **** run 14 fork 5 starts with strategy
% 0.21/0.53  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.21/0.54  
% 0.21/0.54  **** run 15 fork 6 starts with strategy
% 0.21/0.54  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.21/0.54  
% 0.21/0.54  **** run 9 fork 0 starts with strategy
% 0.21/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.54  
% 0.21/0.54  **** run 12 fork 3 starts with strategy
% 0.21/0.54  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.21/0.55  
% 0.21/0.55  **** run 16 fork 7 starts with strategy
% 0.21/0.55  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.21/0.57  
% 0.21/0.57  
% 0.21/0.57  result: proof found
% 0.21/0.57  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.57  by run 12 fork 3 strategy {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.21/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.57  
% 0.21/0.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.21/0.57  
% 0.21/0.57  run 12 fork 3 statistics:
% 0.21/0.57  ----------------------------------
% 0.21/0.57  this run seconds: 0.005793
% 0.21/0.57  total seconds: 0.171609
% 0.21/0.57  stat_given_used: 32
% 0.21/0.57  stat_given_used_at_endgame: 0
% 0.21/0.57  stat_given_candidates:   43
% 0.21/0.57  stat_given_candidates_at_endgame: 0
% 0.21/0.57  stat_given_candidates_h: 0
% 0.21/0.57  stat_binres_derived_cl:   291
% 0.21/0.57  stat_binres_derived_cl_h: 0
% 0.21/0.57  stat_factor_derived_cl: 2
% 0.21/0.57  stat_para_derived_cl: 0
% 0.21/0.57  stat_tautologies_discarded: 0
% 0.21/0.57  stat_forward_subsumed: 7
% 0.21/0.57  stat_derived_cut: 7
% 0.21/0.57  stat_derived_rewritten: 0
% 0.21/0.57  stat_weight_discarded_building: 0
% 0.21/0.57  stat_weight_discarded_cl: 0
% 0.21/0.57  stat_internlimit_discarded_cl: 0
% 0.21/0.57  stat_simplified:  0 simplified 0 derived 0 given
% 0.21/0.57  stat_kept_cl: 285
% 0.21/0.57  stat_built_cl: 401
% 0.21/0.57  stat_hyperres_partial_cl: 0
% 0.21/0.57  stat_made_rewriters: 0
% 0.21/0.57  stat_backward_subsumed: 0
% 0.21/0.57  stat_propagated_subsumed: 0
% 0.21/0.57  stat_clsubs_attempted:                        66
% 0.21/0.57  stat_clsubs_fact_groundunit_found:             3
% 0.21/0.57  stat_clsubs_rule_groundunit_found:             1
% 0.21/0.57  stat_clsubs_top_meta_attempted:               1124
% 0.21/0.57  stat_clsubs_top_meta_failed:                  1058
% 0.21/0.57  stat_clsubs_top_meta_nonpref_attempted:                1124
% 0.21/0.57  stat_clsubs_top_meta_nonpref_succeeded:                 148
% 0.21/0.57  stat_clsubs_top_meta_pref_attempted:                    148
% 0.21/0.57  stat_clsubs_top_meta_pref1_succeeded:                    74
% 0.21/0.57  stat_clsubs_top_meta_pref2_succeeded:                    68
% 0.21/0.57  stat_clsubs_top_meta_pref3_succeeded:                    66
% 0.21/0.57  stat_clsubs_top_meta_pref_succeeded:                     66
% 0.21/0.57  stat_clsubs_meta_attempted:                  150
% 0.21/0.57  stat_clsubs_meta_failed:                      26
% 0.21/0.57  stat_clsubs_predsymbs_attempted:               0
% 0.21/0.57  stat_clsubs_unit_attempted:                    0
% 0.21/0.57  stat_clsubs_full_attempted:                   66
% 0.21/0.57  stat_forwardsubs_attempted:                  293
% 0.21/0.57  stat_lit_hash_added:                    267
% 0.21/0.57  stat_lit_hash_computed:                1961
% 0.21/0.57  stat_lit_hash_match_found:               19
% 0.21/0.57  stat_lit_hash_match_miss:              2521
% 0.21/0.57  stat_lit_hash_cut_ok:                     8
% 0.21/0.57  stat_lit_strong_cut_ok:                   0
% 0.21/0.57  stat_lit_hash_subsume_ok:                 7
% 0.21/0.57  clqueue els 10000000 used 1
% 0.21/0.57  clactive els 10000000 used 59
% 0.21/0.57  clactivesubsume els 10000000 used 241
% 0.21/0.57  queue_termbuf els 200000000 used 13211
% 0.21/0.57  hyper_termbuf els 100000000 used 1
% 0.21/0.57  active_termbuf els 100000000 used 1537
% 0.21/0.57  varstack els 5000 last used 1
% 0.21/0.57  given_termbuf els 10000000 last used 1
% 0.21/0.57  simplified_termbuf els 10000000 last used 1
% 0.21/0.57  derived_termbuf els 10000000 last used 23
% 0.21/0.57  wr_mallocs: 719
% 0.21/0.57  wr_callocs: 21
% 0.21/0.57  wr_reallocs: 45
% 0.21/0.57  wr_frees: 2
% 0.21/0.57  wr_malloc_bytes: 4162604084
% 0.21/0.57  wr_calloc_bytes: 112065536
% 0.21/0.57  wr_realloc_bytes: 11608
% 0.21/0.57  wr_realloc_freebytes: 0
% 0.21/0.57  ----------------------------------
%------------------------------------------------------------------------------