TSTP Solution File: FLD056-3 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : FLD056-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n006.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 22:32:19 EDT 2023

% Result   : Unsatisfiable 0.13s 0.51s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_totality_of_order_relation')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( less_or_equal(X,Y)
    | less_or_equal(Y,X)
    | ~ defined(X)
    | ~ defined(Y) ),
    inference(cnf_transformation,[],['$inc_totality_of_order_relation']) ).

cnf('2',plain,
    ( less_or_equal(X,X)
    | ~ defined(X) ),
    inference(factorization,[],['1']) ).

cnf('3',plain,
    defined(a),
    inference(cnf_transformation,[],[a_is_defined]) ).

cnf('4',plain,
    ~ less_or_equal(a,a),
    inference(cnf_transformation,[],[not_less_or_equal_2]) ).

cnf('5',plain,
    $false,
    inference(resolution,[then_simplify],['2','3','4']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : FLD056-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.09  % Command  : gkc %s
% 0.09/0.29  % Computer : n006.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Mon Aug 28 00:14:51 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.32  
% 0.09/0.32  input clause set summed statistics:
% 0.09/0.32  ----------------------------------
% 0.09/0.32  in_clause_count:                    28
% 0.09/0.32  in_rule_clause_count:               25
% 0.09/0.32  in_fact_clause_count:                3
% 0.09/0.32  in_answer_clause_count:              0
% 0.09/0.32  in_ground_clause_count:              5
% 0.09/0.32  in_unit_clause_count:                5
% 0.09/0.32  in_horn_clause_count:               25
% 0.09/0.32  in_pos_clause_count:                 3
% 0.09/0.32  in_neg_clause_count:                 2
% 0.09/0.32  in_poseq_clause_count:               0
% 0.09/0.32  in_negeq_clause_count:               0
% 0.09/0.32  in_unitposeq_clause_count:           0
% 0.09/0.32  in_chain_clause_count:               0
% 0.09/0.32  in_min_length:             1
% 0.09/0.32  in_max_length:             5
% 0.09/0.32  in_min_depth:              1
% 0.09/0.32  in_max_depth:              2
% 0.09/0.32  in_min_size:               2
% 0.09/0.32  in_max_size:              20
% 0.09/0.32  in_min_vars:               0
% 0.09/0.32  in_max_vars:               7
% 0.09/0.32  in_extaxiom_count:                26
% 0.09/0.32  in_axiom_count:                    0
% 0.09/0.32  in_assumption_count:               1
% 0.09/0.32  in_goal_count:                     1
% 0.09/0.32  in_neg_goal_count:                 1
% 0.09/0.32  in_pos_goal_count:                 0
% 0.09/0.32  in_posunit_goal_count:             0
% 0.09/0.32  
% 0.09/0.32  auto guide:
% 0.09/0.32  -----------
% 0.09/0.32  {
% 0.09/0.32  "print":1,
% 0.09/0.32  "print_level": 15,
% 0.09/0.32  "max_size": 0,
% 0.09/0.32  "max_depth": 0,
% 0.09/0.32  "max_length": 0,
% 0.09/0.32  "max_dseconds": 0,
% 0.09/0.32  "equality":0,
% 0.09/0.32  "runs":[
% 0.09/0.32  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.09/0.32  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.09/0.32  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.09/0.32  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.09/0.32  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.09/0.32  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.09/0.32  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.09/0.32  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.09/0.32  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.09/0.32  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.09/0.32  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.09/0.32  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
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% 0.09/0.32  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.09/0.32  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.09/0.32  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.09/0.32  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.09/0.32  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.09/0.32  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.09/0.32  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.09/0.32  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.09/0.32  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.09/0.32  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.09/0.32  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.09/0.32  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.09/0.32  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
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% 0.09/0.32  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.09/0.32  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.09/0.32  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.09/0.32  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.09/0.32  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.09/0.32  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.09/0.32  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.09/0.32  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.09/0.32  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.09/0.32  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.09/0.32  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.09/0.32  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.09/0.32  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.09/0.32  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
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% 0.09/0.32  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.09/0.32  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.09/0.32  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
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% 0.09/0.32  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.09/0.32  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.09/0.32  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.09/0.32  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.09/0.32  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
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% 0.09/0.32  
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% 0.09/0.32  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
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% 0.09/0.32  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.09/0.32  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.09/0.32  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.09/0.32  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.09/0.32  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.09/0.32  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.09/0.32  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.09/0.32  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.09/0.32  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.09/0.32  
% 0.09/0.32  ]}
% 0.09/0.32  
% 0.09/0.32  
% 0.09/0.32  **** run 2 fork 1 starts with strategy
% 0.09/0.32  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.09/0.32  
% 0.09/0.32  **** run 3 fork 2 starts with strategy
% 0.09/0.32  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.09/0.32  
% 0.09/0.32  **** run 4 fork 3 starts with strategy
% 0.09/0.32  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.09/0.32  
% 0.09/0.32  **** run 5 fork 4 starts with strategy
% 0.09/0.32  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.09/0.32  
% 0.09/0.32  **** run 6 fork 5 starts with strategy
% 0.09/0.32  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.09/0.32  
% 0.09/0.32  **** run 7 fork 6 starts with strategy
% 0.09/0.32  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.09/0.32  
% 0.09/0.32  **** run 1 fork 0 starts with strategy
% 0.09/0.32  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.09/0.32  
% 0.09/0.32  **** run 8 fork 7 starts with strategy
% 0.09/0.32  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.13/0.45  
% 0.13/0.45  
% 0.13/0.45  fork 2: search terminated without proof.
% 0.13/0.45  
% 0.13/0.45  
% 0.13/0.45  fork 4: search terminated without proof.
% 0.13/0.45  
% 0.13/0.45  
% 0.13/0.45  fork 5: search terminated without proof.
% 0.13/0.45  
% 0.13/0.45  
% 0.13/0.45  fork 6: search terminated without proof.
% 0.13/0.46  
% 0.13/0.46  
% 0.13/0.46  fork 7: search terminated without proof.
% 0.13/0.47  
% 0.13/0.47  **** run 14 fork 5 starts with strategy
% 0.13/0.47  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.13/0.47  
% 0.13/0.47  **** run 11 fork 2 starts with strategy
% 0.13/0.47  
% 0.13/0.47  **** run 13 fork 4 starts with strategy
% 0.13/0.47  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}{"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.13/0.47  
% 0.13/0.47  
% 0.13/0.47  **** run 15 fork 6 starts with strategy
% 0.13/0.47  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.13/0.48  
% 0.13/0.48  **** run 16 fork 7 starts with strategy
% 0.13/0.48  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.13/0.51  
% 0.13/0.51  
% 0.13/0.51  result: proof found
% 0.13/0.51  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.13/0.51  by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.13/0.51  
% 0.13/0.51  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.13/0.51  
% 0.13/0.51  run 1 fork 0 statistics:
% 0.13/0.51  ----------------------------------
% 0.13/0.51  this run seconds: 0.014631
% 0.13/0.51  total seconds: 0.038680
% 0.13/0.51  stat_given_used: 103
% 0.13/0.51  stat_given_used_at_endgame: 0
% 0.13/0.51  stat_given_candidates:   115
% 0.13/0.51  stat_given_candidates_at_endgame: 0
% 0.13/0.51  stat_given_candidates_h: 0
% 0.13/0.51  stat_binres_derived_cl:   863
% 0.13/0.51  stat_binres_derived_cl_h: 0
% 0.13/0.51  stat_factor_derived_cl: 8
% 0.13/0.51  stat_para_derived_cl: 0
% 0.13/0.51  stat_tautologies_discarded: 1
% 0.13/0.51  stat_forward_subsumed: 21
% 0.13/0.51  stat_derived_cut: 1
% 0.13/0.51  stat_derived_rewritten: 0
% 0.13/0.51  stat_weight_discarded_building: 0
% 0.13/0.51  stat_weight_discarded_cl: 0
% 0.13/0.51  stat_internlimit_discarded_cl: 0
% 0.13/0.51  stat_simplified:  0 simplified 0 derived 0 given
% 0.13/0.51  stat_kept_cl: 848
% 0.13/0.51  stat_built_cl: 1054
% 0.13/0.51  stat_hyperres_partial_cl: 0
% 0.13/0.51  stat_made_rewriters: 0
% 0.13/0.51  stat_backward_subsumed: 0
% 0.13/0.51  stat_propagated_subsumed: 0
% 0.13/0.51  stat_clsubs_attempted:                        15
% 0.13/0.51  stat_clsubs_fact_groundunit_found:             3
% 0.13/0.51  stat_clsubs_rule_groundunit_found:             2
% 0.13/0.51  stat_clsubs_top_meta_attempted:                888
% 0.13/0.51  stat_clsubs_top_meta_failed:                   873
% 0.13/0.51  stat_clsubs_top_meta_nonpref_attempted:                 888
% 0.13/0.51  stat_clsubs_top_meta_nonpref_succeeded:                  99
% 0.13/0.51  stat_clsubs_top_meta_pref_attempted:                     99
% 0.13/0.51  stat_clsubs_top_meta_pref1_succeeded:                    44
% 0.13/0.51  stat_clsubs_top_meta_pref2_succeeded:                    15
% 0.13/0.51  stat_clsubs_top_meta_pref3_succeeded:                    15
% 0.13/0.51  stat_clsubs_top_meta_pref_succeeded:                     15
% 0.13/0.51  stat_clsubs_meta_attempted:                   31
% 0.13/0.51  stat_clsubs_meta_failed:                       8
% 0.13/0.51  stat_clsubs_predsymbs_attempted:               0
% 0.13/0.51  stat_clsubs_unit_attempted:                    0
% 0.13/0.51  stat_clsubs_full_attempted:                   15
% 0.13/0.51  stat_forwardsubs_attempted:                  870
% 0.13/0.51  stat_lit_hash_added:                   1160
% 0.13/0.51  stat_lit_hash_computed:                3361
% 0.13/0.51  stat_lit_hash_match_found:               27
% 0.13/0.51  stat_lit_hash_match_miss:              3457
% 0.13/0.51  stat_lit_hash_cut_ok:                     1
% 0.13/0.51  stat_lit_strong_cut_ok:                   0
% 0.13/0.51  stat_lit_hash_subsume_ok:                21
% 0.13/0.51  clqueue els 10000000 used 1
% 0.13/0.51  clactive els 10000000 used 104
% 0.13/0.51  clactivesubsume els 10000000 used 127
% 0.13/0.51  queue_termbuf els 200000000 used 42218
% 0.13/0.51  hyper_termbuf els 100000000 used 1
% 0.13/0.51  active_termbuf els 100000000 used 2333
% 0.13/0.51  varstack els 5000 last used 1
% 0.13/0.51  given_termbuf els 10000000 last used 1
% 0.13/0.51  simplified_termbuf els 10000000 last used 1
% 0.13/0.51  derived_termbuf els 10000000 last used 22
% 0.13/0.51  wr_mallocs: 3005
% 0.13/0.51  wr_callocs: 21
% 0.13/0.51  wr_reallocs: 69
% 0.13/0.51  wr_frees: 2
% 0.13/0.51  wr_malloc_bytes: 4162689348
% 0.13/0.51  wr_calloc_bytes: 112065536
% 0.13/0.51  wr_realloc_bytes: 25464
% 0.13/0.51  wr_realloc_freebytes: 0
% 0.13/0.51  ----------------------------------
%------------------------------------------------------------------------------