TSTP Solution File: RNG015-6 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n023.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 13:53:40 EDT 2023

% Result   : Unsatisfiable 1.49s 0.61s
% Output   : CNFRefutation 1.49s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_additive_inverse_additive_inverse')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    additive_inverse(additive_inverse(X)) = X,
    inference(cnf_transformation,[],['$inc_additive_inverse_additive_inverse']) ).

cnf('2',plain,
    add(X,additive_inverse(X)) = additive_identity,
    inference(cnf_transformation,[],['$inc_right_additive_inverse']) ).

cnf('3',plain,
    add(X,add(Y,Z)) = add(add(X,Y),Z),
    inference(cnf_transformation,[],['$inc_associativity_for_addition']) ).

cnf('4',plain,
    add(X3,additive_identity) = add(add(X3,Y3),additive_inverse(Y3)),
    inference(paramodulation,[],['2','3']) ).

cnf('5',plain,
    add(X,additive_identity) = X,
    inference(cnf_transformation,[],['$inc_right_additive_identity']) ).

cnf('6',plain,
    X = add(add(X,Y),additive_inverse(Y)),
    inference(simplify,[],['4','5']) ).

cnf('7',plain,
    X = add(add(X,additive_inverse(Y)),Y),
    inference(paramodulation,[],['1','6']) ).

cnf('8',plain,
    multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
    inference(cnf_transformation,[],['$inc_distribute1']) ).

cnf('9',plain,
    multiply(X,Y) = add(multiply(X,add(Y,Z)),additive_inverse(multiply(X,Z))),
    inference(paramodulation,[],['8','6']) ).

cnf('10',plain,
    multiply(x,add(y,additive_inverse(z))) != add(multiply(x,y),additive_inverse(multiply(x,z))),
    inference(cnf_transformation,[],[prove_distributivity]) ).

cnf('11',plain,
    $false,
    inference(paramodulation,[then_simplify],['7','9','10']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12  % Command  : gkc %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Aug 27 02:40:26 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.38  
% 0.18/0.38  input clause set summed statistics:
% 0.18/0.38  ----------------------------------
% 0.18/0.38  in_clause_count:                    16
% 0.18/0.38  in_rule_clause_count:               16
% 0.18/0.38  in_fact_clause_count:                0
% 0.18/0.38  in_answer_clause_count:              0
% 0.18/0.38  in_ground_clause_count:              1
% 0.18/0.38  in_unit_clause_count:               16
% 0.18/0.38  in_horn_clause_count:               16
% 0.18/0.38  in_pos_clause_count:                15
% 0.18/0.38  in_neg_clause_count:                 1
% 0.18/0.38  in_poseq_clause_count:              15
% 0.18/0.38  in_negeq_clause_count:               1
% 0.18/0.38  in_unitposeq_clause_count:          15
% 0.18/0.38  in_chain_clause_count:               0
% 0.18/0.38  in_min_length:             1
% 0.18/0.38  in_max_length:             1
% 0.18/0.38  in_min_depth:              2
% 0.18/0.38  in_max_depth:              5
% 0.18/0.38  in_min_size:               5
% 0.18/0.38  in_max_size:              17
% 0.18/0.38  in_min_vars:               0
% 0.18/0.38  in_max_vars:               3
% 0.18/0.38  in_extaxiom_count:                15
% 0.18/0.38  in_axiom_count:                    0
% 0.18/0.38  in_assumption_count:               0
% 0.18/0.38  in_goal_count:                     1
% 0.18/0.38  in_neg_goal_count:                 1
% 0.18/0.38  in_pos_goal_count:                 0
% 0.18/0.38  in_posunit_goal_count:             0
% 0.18/0.38  
% 0.18/0.38  auto guide:
% 0.18/0.38  -----------
% 0.18/0.38  {
% 0.18/0.38  "print":1,
% 0.18/0.38  "print_level": 15,
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% 0.18/0.38  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
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% 0.18/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
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% 0.18/0.38  
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% 0.18/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.18/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 0},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 1},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 2},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.18/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds": 1250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1} 
% 0.18/0.38  
% 0.18/0.38  ]}
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  **** run 1 fork 0 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.18/0.38  
% 0.18/0.38  **** run 2 fork 1 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.18/0.38  
% 0.18/0.38  **** run 3 fork 2 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.18/0.38  
% 0.18/0.38  **** run 4 fork 3 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.18/0.38  
% 0.18/0.38  **** run 5 fork 4 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_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"],"query_preference":1,"weight_select_ratio":20}
% 0.18/0.38  
% 0.18/0.38  **** run 7 fork 6 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.18/0.39  
% 0.18/0.39  **** run 8 fork 7 starts with strategy
% 0.18/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 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 1: search terminated without proof.
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  fork 2: 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 4: search terminated without proof.
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  fork 5: search terminated without proof.
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  fork 6: search terminated without proof.
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  fork 7: search terminated without proof.
% 0.18/0.53  
% 0.18/0.53  **** run 11 fork 2 starts with strategy
% 0.18/0.53  
% 0.18/0.53  **** run 9 fork 0 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.18/0.53  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.18/0.53  
% 0.18/0.53  **** run 14 fork 5 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.18/0.53  
% 0.18/0.53  **** run 15 fork 6 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.18/0.53  
% 0.18/0.53  **** run 13 fork 4 starts with strategy
% 0.18/0.53  
% 0.18/0.53  **** run 12 fork 3 starts with strategy
% 0.18/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.18/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.18/0.54  
% 0.18/0.54  **** run 16 fork 7 starts with strategy
% 0.18/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 1.35/0.55  
% 1.35/0.55  **** run 10 fork 1 starts with strategy
% 1.35/0.55  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 1.49/0.61  
% 1.49/0.61  
% 1.49/0.61  result: proof found
% 1.49/0.61  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.49/0.61  by run 13 fork 4 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 1.49/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.49/0.61  
% 1.49/0.61  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 1.49/0.61  
% 1.49/0.61  run 13 fork 4 statistics:
% 1.49/0.61  ----------------------------------
% 1.49/0.61  this run seconds: 0.062888
% 1.49/0.61  total seconds: 0.232757
% 1.49/0.61  stat_given_used: 119
% 1.49/0.61  stat_given_used_at_endgame: 0
% 1.49/0.61  stat_given_candidates:   1297
% 1.49/0.61  stat_given_candidates_at_endgame: 0
% 1.49/0.61  stat_given_candidates_h: 0
% 1.49/0.61  stat_binres_derived_cl:   0
% 1.49/0.61  stat_binres_derived_cl_h: 0
% 1.49/0.61  stat_factor_derived_cl: 0
% 1.49/0.61  stat_para_derived_cl: 12267
% 1.49/0.61  stat_tautologies_discarded: 0
% 1.49/0.61  stat_forward_subsumed: 2503
% 1.49/0.61  stat_derived_cut: 1
% 1.49/0.61  stat_derived_rewritten: 103
% 1.49/0.61  stat_weight_discarded_building: 0
% 1.49/0.61  stat_weight_discarded_cl: 928
% 1.49/0.61  stat_internlimit_discarded_cl: 0
% 1.49/0.61  stat_simplified:  103 simplified 0 derived 0 given
% 1.49/0.61  stat_kept_cl: 8544
% 1.49/0.61  stat_built_cl: 9813
% 1.49/0.61  stat_hyperres_partial_cl: 0
% 1.49/0.61  stat_made_rewriters: 91
% 1.49/0.61  stat_backward_subsumed: 0
% 1.49/0.61  stat_propagated_subsumed: 0
% 1.49/0.61  stat_clsubs_attempted:                      1468
% 1.49/0.61  stat_clsubs_fact_groundunit_found:             0
% 1.49/0.61  stat_clsubs_rule_groundunit_found:             1
% 1.49/0.61  stat_clsubs_top_meta_attempted:               8930
% 1.49/0.61  stat_clsubs_top_meta_failed:                  7462
% 1.49/0.61  stat_clsubs_top_meta_nonpref_attempted:                8930
% 1.49/0.61  stat_clsubs_top_meta_nonpref_succeeded:                4378
% 1.49/0.61  stat_clsubs_top_meta_pref_attempted:                   4378
% 1.49/0.61  stat_clsubs_top_meta_pref1_succeeded:                  4378
% 1.49/0.61  stat_clsubs_top_meta_pref2_succeeded:                  2038
% 1.49/0.61  stat_clsubs_top_meta_pref3_succeeded:                  1468
% 1.49/0.61  stat_clsubs_top_meta_pref_succeeded:                   1468
% 1.49/0.61  stat_clsubs_meta_attempted:                 1468
% 1.49/0.61  stat_clsubs_meta_failed:                      35
% 1.49/0.61  stat_clsubs_predsymbs_attempted:               0
% 1.49/0.61  stat_clsubs_unit_attempted:                 1468
% 1.49/0.61  stat_clsubs_full_attempted:                    0
% 1.49/0.61  stat_forwardsubs_attempted:                11976
% 1.49/0.61  stat_lit_hash_added:                   8563
% 1.49/0.61  stat_lit_hash_computed:               20835
% 1.49/0.61  stat_lit_hash_match_found:             2601
% 1.49/0.61  stat_lit_hash_match_miss:             19247
% 1.49/0.61  stat_lit_hash_cut_ok:                     0
% 1.49/0.61  stat_lit_strong_cut_ok:                   1
% 1.49/0.61  stat_lit_hash_subsume_ok:              2503
% 1.49/0.61  clqueue els 10000000 used 1
% 1.49/0.61  clactive els 10000000 used 120
% 1.49/0.61  clactivesubsume els 10000000 used 697
% 1.49/0.61  queue_termbuf els 200000000 used 665020
% 1.49/0.61  hyper_termbuf els 100000000 used 1
% 1.49/0.61  active_termbuf els 100000000 used 5222
% 1.49/0.61  varstack els 5000 last used 1
% 1.49/0.61  given_termbuf els 10000000 last used 1
% 1.49/0.61  simplified_termbuf els 10000000 last used 1
% 1.49/0.61  derived_termbuf els 10000000 last used 24
% 1.49/0.61  wr_mallocs: 31010
% 1.49/0.61  wr_callocs: 21
% 1.49/0.61  wr_reallocs: 1435
% 1.49/0.61  wr_frees: 2
% 1.49/0.61  wr_malloc_bytes: 4163686596
% 1.49/0.61  wr_calloc_bytes: 112065536
% 1.49/0.61  wr_realloc_bytes: 277344
% 1.49/0.61  wr_realloc_freebytes: 0
% 1.49/0.61  ----------------------------------
%------------------------------------------------------------------------------