TSTP Solution File: FLD017-3 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : FLD017-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n013.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 22:31:56 EDT 2023

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named sum_5)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    sum(additive_identity,a,x),
    inference(cnf_transformation,[],[sum_5]) ).

cnf('2',plain,
    ( ~ sum(X,Y,Z)
    | ~ sum(X,U,V)
    | ~ sum(U,W,Y)
    | sum(V,W,Z) ),
    inference(cnf_transformation,[],['$inc_associativity_addition_2']) ).

cnf('3',plain,
    ( ~ sum(a,X,Y)
    | ~ sum(additive_identity,Y,Z)
    | sum(x,X,Z) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    sum(a,b,c),
    inference(cnf_transformation,[],[sum_6]) ).

cnf('5',plain,
    ( ~ sum(additive_identity,c,X)
    | sum(x,b,X) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( sum(additive_identity,X,X)
    | ~ defined(X) ),
    inference(cnf_transformation,[],['$inc_existence_of_identity_addition']) ).

cnf('7',plain,
    ~ sum(x,b,c),
    inference(cnf_transformation,[],[not_sum_7]) ).

cnf('8',plain,
    defined(c),
    inference(cnf_transformation,[],[c_is_defined]) ).

cnf('9',plain,
    $false,
    inference(resolution,[then_simplify],['5','6','7','8']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : FLD017-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12  % Command  : gkc %s
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Aug 28 00:33:32 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.18/0.37  
% 0.18/0.37  input clause set summed statistics:
% 0.18/0.37  ----------------------------------
% 0.18/0.37  in_clause_count:                    33
% 0.18/0.37  in_rule_clause_count:               25
% 0.18/0.37  in_fact_clause_count:                8
% 0.18/0.37  in_answer_clause_count:              0
% 0.18/0.37  in_ground_clause_count:             10
% 0.18/0.37  in_unit_clause_count:               10
% 0.18/0.37  in_horn_clause_count:               30
% 0.18/0.37  in_pos_clause_count:                 8
% 0.18/0.37  in_neg_clause_count:                 2
% 0.18/0.37  in_poseq_clause_count:               0
% 0.18/0.37  in_negeq_clause_count:               0
% 0.18/0.37  in_unitposeq_clause_count:           0
% 0.18/0.37  in_chain_clause_count:               0
% 0.18/0.37  in_min_length:             1
% 0.18/0.37  in_max_length:             5
% 0.18/0.37  in_min_depth:              1
% 0.18/0.37  in_max_depth:              2
% 0.18/0.37  in_min_size:               2
% 0.18/0.37  in_max_size:              20
% 0.18/0.37  in_min_vars:               0
% 0.18/0.37  in_max_vars:               7
% 0.18/0.37  in_extaxiom_count:                26
% 0.18/0.37  in_axiom_count:                    0
% 0.18/0.37  in_assumption_count:               4
% 0.18/0.37  in_goal_count:                     3
% 0.18/0.37  in_neg_goal_count:                 1
% 0.18/0.37  in_pos_goal_count:                 2
% 0.18/0.37  in_posunit_goal_count:             2
% 0.18/0.37  
% 0.18/0.37  auto guide:
% 0.18/0.37  -----------
% 0.18/0.37  {
% 0.18/0.37  "print":1,
% 0.18/0.37  "print_level": 15,
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% 0.18/0.37  "equality":0,
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% 0.18/0.37  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
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% 0.18/0.37  
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% 0.18/0.37  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
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% 0.18/0.37  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.18/0.37  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.37  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.37  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.37  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.18/0.37  
% 0.18/0.37  ]}
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  **** run 1 fork 0 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.37  
% 0.18/0.37  **** run 2 fork 1 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.37  
% 0.18/0.37  **** run 3 fork 2 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.37  
% 0.18/0.37  **** run 4 fork 3 starts with strategy
% 0.18/0.37  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.38  
% 0.18/0.38  **** run 5 fork 4 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.18/0.38  
% 0.18/0.38  **** run 6 fork 5 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.38  
% 0.18/0.38  **** run 8 fork 7 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.18/0.38  
% 0.18/0.38  **** run 7 fork 6 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  fork 7: search terminated without proof.
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  fork 0: search terminated without proof.
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  fork 3: search terminated without proof.
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  fork 5: search terminated without proof.
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  fork 6: search terminated without proof.
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  fork 2: search terminated without proof.
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  fork 4: search terminated without proof.
% 0.18/0.52  
% 0.18/0.52  **** run 16 fork 7 starts with strategy
% 0.18/0.52  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.18/0.53  
% 0.18/0.53  **** run 12 fork 3 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.18/0.53  
% 0.18/0.53  **** run 14 fork 5 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.18/0.53  
% 0.18/0.53  **** run 9 fork 0 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.18/0.53  
% 0.18/0.53  **** run 15 fork 6 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.18/0.53  
% 0.18/0.53  **** run 11 fork 2 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.18/0.53  
% 0.18/0.53  **** run 13 fork 4 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.18/0.55  
% 0.18/0.55  
% 0.18/0.55  result: proof found
% 0.18/0.55  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.55  by run 12 fork 3 strategy {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.18/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.55  
% 0.18/0.55  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.18/0.55  
% 0.18/0.55  run 12 fork 3 statistics:
% 0.18/0.55  ----------------------------------
% 0.18/0.55  this run seconds: 0.007026
% 0.18/0.55  total seconds: 0.179055
% 0.18/0.55  stat_given_used: 62
% 0.18/0.55  stat_given_used_at_endgame: 0
% 0.18/0.55  stat_given_candidates:   94
% 0.18/0.55  stat_given_candidates_at_endgame: 0
% 0.18/0.55  stat_given_candidates_h: 0
% 0.18/0.55  stat_binres_derived_cl:   505
% 0.18/0.55  stat_binres_derived_cl_h: 0
% 0.18/0.55  stat_factor_derived_cl: 2
% 0.18/0.55  stat_para_derived_cl: 0
% 0.18/0.55  stat_tautologies_discarded: 5
% 0.18/0.55  stat_forward_subsumed: 16
% 0.18/0.55  stat_derived_cut: 28
% 0.18/0.55  stat_derived_rewritten: 0
% 0.18/0.55  stat_weight_discarded_building: 0
% 0.18/0.55  stat_weight_discarded_cl: 0
% 0.18/0.55  stat_internlimit_discarded_cl: 0
% 0.18/0.55  stat_simplified:  4 simplified 0 derived 0 given
% 0.18/0.55  stat_kept_cl: 485
% 0.18/0.55  stat_built_cl: 665
% 0.18/0.55  stat_hyperres_partial_cl: 0
% 0.18/0.55  stat_made_rewriters: 0
% 0.18/0.55  stat_backward_subsumed: 0
% 0.18/0.55  stat_propagated_subsumed: 0
% 0.18/0.55  stat_clsubs_attempted:                        89
% 0.18/0.55  stat_clsubs_fact_groundunit_found:             7
% 0.18/0.55  stat_clsubs_rule_groundunit_found:             2
% 0.18/0.55  stat_clsubs_top_meta_attempted:               3075
% 0.18/0.55  stat_clsubs_top_meta_failed:                  2986
% 0.18/0.55  stat_clsubs_top_meta_nonpref_attempted:                3075
% 0.18/0.55  stat_clsubs_top_meta_nonpref_succeeded:                 492
% 0.18/0.55  stat_clsubs_top_meta_pref_attempted:                    492
% 0.18/0.55  stat_clsubs_top_meta_pref1_succeeded:                   134
% 0.18/0.55  stat_clsubs_top_meta_pref2_succeeded:                    90
% 0.18/0.55  stat_clsubs_top_meta_pref3_succeeded:                    89
% 0.18/0.55  stat_clsubs_top_meta_pref_succeeded:                     89
% 0.18/0.55  stat_clsubs_meta_attempted:                  270
% 0.18/0.55  stat_clsubs_meta_failed:                      38
% 0.18/0.55  stat_clsubs_predsymbs_attempted:               0
% 0.18/0.55  stat_clsubs_unit_attempted:                    0
% 0.18/0.55  stat_clsubs_full_attempted:                   89
% 0.18/0.55  stat_forwardsubs_attempted:                  502
% 0.18/0.55  stat_lit_hash_added:                    336
% 0.18/0.55  stat_lit_hash_computed:                3470
% 0.18/0.55  stat_lit_hash_match_found:               59
% 0.18/0.55  stat_lit_hash_match_miss:              4620
% 0.18/0.55  stat_lit_hash_cut_ok:                    35
% 0.18/0.55  stat_lit_strong_cut_ok:                   0
% 0.18/0.55  stat_lit_hash_subsume_ok:                16
% 0.18/0.55  clqueue els 10000000 used 1
% 0.18/0.55  clactive els 10000000 used 89
% 0.18/0.55  clactivesubsume els 10000000 used 343
% 0.18/0.55  queue_termbuf els 200000000 used 22144
% 0.18/0.55  hyper_termbuf els 100000000 used 1
% 0.18/0.55  active_termbuf els 100000000 used 2159
% 0.18/0.55  varstack els 5000 last used 1
% 0.18/0.55  given_termbuf els 10000000 last used 1
% 0.18/0.55  simplified_termbuf els 10000000 last used 1
% 0.18/0.55  derived_termbuf els 10000000 last used 32
% 0.18/0.55  wr_mallocs: 1004
% 0.18/0.55  wr_callocs: 21
% 0.18/0.55  wr_reallocs: 77
% 0.18/0.55  wr_frees: 2
% 0.18/0.55  wr_malloc_bytes: 4162614820
% 0.18/0.55  wr_calloc_bytes: 112065536
% 0.18/0.55  wr_realloc_bytes: 15336
% 0.18/0.55  wr_realloc_freebytes: 0
% 0.18/0.55  ----------------------------------
%------------------------------------------------------------------------------