TSTP Solution File: GRP038-3 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n032.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 : Thu Aug 31 00:52:02 EDT 2023

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named a_is_in_subgroup)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    subgroup_member(a),
    inference(cnf_transformation,[],[a_is_in_subgroup]) ).

cnf('2',plain,
    subgroup_member(b),
    inference(cnf_transformation,[],[b_is_in_subgroup]) ).

cnf('3',plain,
    ~ subgroup_member(c),
    inference(cnf_transformation,[],[prove_c_is_in_subgroup]) ).

cnf('4',plain,
    ( ~ product(X,inverse(Y),Z)
    | ~ subgroup_member(Y)
    | ~ subgroup_member(X)
    | subgroup_member(Z) ),
    inference(cnf_transformation,[],['$inc_closure_of_product_and_inverse']) ).

cnf('5',plain,
    ( ~ product(X,inverse(Y),c)
    | ~ subgroup_member(Y)
    | ~ subgroup_member(X) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( ~ product(X,inverse(b),c)
    | ~ subgroup_member(X) ),
    inference(resolution,[],['2','5']) ).

cnf('7',plain,
    product(a,inverse(b),c),
    inference(cnf_transformation,[],[a_times_inverse_b_is_c]) ).

cnf('8',plain,
    $false,
    inference(resolution,[then_simplify],['1','6','7']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09  % Problem  : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.10  % Command  : gkc %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue Aug 29 01:12:31 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.34  
% 0.10/0.34  input clause set summed statistics:
% 0.10/0.34  ----------------------------------
% 0.10/0.34  in_clause_count:                    15
% 0.10/0.34  in_rule_clause_count:               10
% 0.10/0.34  in_fact_clause_count:                5
% 0.10/0.34  in_answer_clause_count:              0
% 0.10/0.34  in_ground_clause_count:              5
% 0.10/0.34  in_unit_clause_count:               10
% 0.10/0.34  in_horn_clause_count:               15
% 0.10/0.34  in_pos_clause_count:                 9
% 0.10/0.34  in_neg_clause_count:                 1
% 0.10/0.34  in_poseq_clause_count:               1
% 0.10/0.34  in_negeq_clause_count:               0
% 0.10/0.34  in_unitposeq_clause_count:           0
% 0.10/0.34  in_chain_clause_count:               0
% 0.10/0.34  in_min_length:             1
% 0.10/0.34  in_max_length:             4
% 0.10/0.34  in_min_depth:              1
% 0.10/0.34  in_max_depth:              2
% 0.10/0.34  in_min_size:               2
% 0.10/0.34  in_max_size:              16
% 0.10/0.34  in_min_vars:               0
% 0.10/0.34  in_max_vars:               6
% 0.10/0.34  in_extaxiom_count:                 9
% 0.10/0.34  in_axiom_count:                    2
% 0.10/0.34  in_assumption_count:               3
% 0.10/0.34  in_goal_count:                     1
% 0.10/0.34  in_neg_goal_count:                 1
% 0.10/0.34  in_pos_goal_count:                 0
% 0.10/0.34  in_posunit_goal_count:             0
% 0.10/0.34  
% 0.10/0.34  auto guide:
% 0.10/0.34  -----------
% 0.10/0.34  {
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% 0.10/0.34  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
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% 0.10/0.34  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.34  {"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},
% 0.10/0.34  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.34  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.10/0.34  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.10/0.34  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
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% 0.10/0.34  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  
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% 0.10/0.34  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.34  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":10},
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% 0.10/0.34  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":10},
% 0.10/0.34  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.10/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.10/0.34  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.34  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":10},
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% 0.10/0.34  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.10/0.34  
% 0.10/0.34  ]}
% 0.10/0.34  
% 0.10/0.34  
% 0.10/0.34  **** run 1 fork 0 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.10/0.34  
% 0.10/0.34  **** run 2 fork 1 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.10/0.34  
% 0.10/0.34  **** run 3 fork 2 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.34  
% 0.10/0.34  **** run 4 fork 3 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.34  
% 0.10/0.34  **** run 5 fork 4 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.34  
% 0.10/0.34  **** run 6 fork 5 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.34  
% 0.10/0.34  **** run 7 fork 6 starts with strategy
% 0.10/0.34  
% 0.10/0.34  **** run 8 fork 7 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.14/0.37  
% 0.14/0.37  
% 0.14/0.37  result: proof found
% 0.14/0.37  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.14/0.37  by run 2 fork 1 strategy {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.14/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.14/0.37  
% 0.14/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.14/0.37  
% 0.14/0.37  run 2 fork 1 statistics:
% 0.14/0.37  ----------------------------------
% 0.14/0.37  this run seconds: 0.003824
% 0.14/0.37  total seconds: 0.030055
% 0.14/0.37  stat_given_used: 10
% 0.14/0.37  stat_given_used_at_endgame: 0
% 0.14/0.37  stat_given_candidates:   12
% 0.14/0.37  stat_given_candidates_at_endgame: 0
% 0.14/0.37  stat_given_candidates_h: 0
% 0.14/0.37  stat_binres_derived_cl:   36
% 0.14/0.37  stat_binres_derived_cl_h: 0
% 0.14/0.37  stat_factor_derived_cl: 2
% 0.14/0.37  stat_para_derived_cl: 0
% 0.14/0.37  stat_tautologies_discarded: 0
% 0.14/0.37  stat_forward_subsumed: 1
% 0.14/0.37  stat_derived_cut: 3
% 0.14/0.37  stat_derived_rewritten: 0
% 0.14/0.37  stat_weight_discarded_building: 0
% 0.14/0.37  stat_weight_discarded_cl: 0
% 0.14/0.37  stat_internlimit_discarded_cl: 0
% 0.14/0.37  stat_simplified:  0 simplified 0 derived 0 given
% 0.14/0.37  stat_kept_cl: 36
% 0.14/0.37  stat_built_cl: 78
% 0.14/0.37  stat_hyperres_partial_cl: 0
% 0.14/0.37  stat_made_rewriters: 0
% 0.14/0.37  stat_backward_subsumed: 0
% 0.14/0.37  stat_propagated_subsumed: 0
% 0.14/0.37  stat_clsubs_attempted:                         9
% 0.14/0.37  stat_clsubs_fact_groundunit_found:             0
% 0.14/0.37  stat_clsubs_rule_groundunit_found:             1
% 0.14/0.37  stat_clsubs_top_meta_attempted:                119
% 0.14/0.37  stat_clsubs_top_meta_failed:                   110
% 0.14/0.37  stat_clsubs_top_meta_nonpref_attempted:                 119
% 0.14/0.37  stat_clsubs_top_meta_nonpref_succeeded:                  36
% 0.14/0.37  stat_clsubs_top_meta_pref_attempted:                     36
% 0.14/0.37  stat_clsubs_top_meta_pref1_succeeded:                     9
% 0.14/0.37  stat_clsubs_top_meta_pref2_succeeded:                     9
% 0.14/0.37  stat_clsubs_top_meta_pref3_succeeded:                     9
% 0.14/0.37  stat_clsubs_top_meta_pref_succeeded:                      9
% 0.14/0.37  stat_clsubs_meta_attempted:                   19
% 0.14/0.37  stat_clsubs_meta_failed:                       8
% 0.14/0.37  stat_clsubs_predsymbs_attempted:               0
% 0.14/0.37  stat_clsubs_unit_attempted:                    0
% 0.14/0.37  stat_clsubs_full_attempted:                    9
% 0.14/0.37  stat_forwardsubs_attempted:                   38
% 0.14/0.37  stat_lit_hash_added:                     29
% 0.14/0.37  stat_lit_hash_computed:                 351
% 0.14/0.37  stat_lit_hash_match_found:                5
% 0.14/0.37  stat_lit_hash_match_miss:               481
% 0.14/0.37  stat_lit_hash_cut_ok:                     3
% 0.14/0.37  stat_lit_strong_cut_ok:                   0
% 0.14/0.37  stat_lit_hash_subsume_ok:                 1
% 0.14/0.37  clqueue els 10000000 used 1
% 0.14/0.37  clactive els 10000000 used 22
% 0.14/0.37  clactivesubsume els 10000000 used 91
% 0.14/0.37  queue_termbuf els 200000000 used 2042
% 0.14/0.37  hyper_termbuf els 100000000 used 1
% 0.14/0.37  active_termbuf els 100000000 used 579
% 0.14/0.37  varstack els 5000 last used 1
% 0.14/0.37  given_termbuf els 10000000 last used 1
% 0.14/0.37  simplified_termbuf els 10000000 last used 1
% 0.14/0.37  derived_termbuf els 10000000 last used 29
% 0.14/0.37  wr_mallocs: 244
% 0.14/0.37  wr_callocs: 21
% 0.14/0.37  wr_reallocs: 4
% 0.14/0.37  wr_frees: 2
% 0.14/0.37  wr_malloc_bytes: 4162586020
% 0.14/0.37  wr_calloc_bytes: 112065536
% 0.14/0.37  wr_realloc_bytes: 2568
% 0.14/0.37  wr_realloc_freebytes: 0
% 0.14/0.37  ----------------------------------
%------------------------------------------------------------------------------