TSTP Solution File: GRP001-2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP001-2 : 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 00:51:44 EDT 2023

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named a_times_b_is_c)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    multiply(a,b) = c,
    inference(cnf_transformation,[],[a_times_b_is_c]) ).

cnf('2',plain,
    multiply(X,X) = identity,
    inference(cnf_transformation,[],[squareness]) ).

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

cnf('4',plain,
    multiply(identity,X3) = multiply(Y3,multiply(Y3,X3)),
    inference(paramodulation,[],['2','3']) ).

cnf('5',plain,
    multiply(identity,X) = X,
    inference(cnf_transformation,[],['$inc_left_identity']) ).

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

cnf('7',plain,
    b = multiply(a,c),
    inference(paramodulation,[],['1','6']) ).

cnf('8',plain,
    multiply(multiply(X3,Y3),Y3) = multiply(X3,identity),
    inference(paramodulation,[],['2','3']) ).

cnf('9',plain,
    multiply(X,identity) = X,
    inference(cnf_transformation,[],[right_identity]) ).

cnf('10',plain,
    multiply(multiply(X,Y),Y) = X,
    inference(simplify,[],['8','9']) ).

cnf('11',plain,
    multiply(b,c) = a,
    inference(paramodulation,[],['7','10']) ).

cnf('12',plain,
    c = multiply(b,a),
    inference(paramodulation,[],['11','6']) ).

cnf('13',plain,
    multiply(b,a) != c,
    inference(cnf_transformation,[],[prove_b_times_a_is_c]) ).

cnf('14',plain,
    $false,
    inference(paramodulation,[],['12','13']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n023.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 : Mon Aug 28 22:46:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                     8
% 0.20/0.39  in_rule_clause_count:                8
% 0.20/0.39  in_fact_clause_count:                0
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:              2
% 0.20/0.39  in_unit_clause_count:                8
% 0.20/0.39  in_horn_clause_count:                8
% 0.20/0.39  in_pos_clause_count:                 7
% 0.20/0.39  in_neg_clause_count:                 1
% 0.20/0.39  in_poseq_clause_count:               7
% 0.20/0.39  in_negeq_clause_count:               1
% 0.20/0.39  in_unitposeq_clause_count:           7
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             1
% 0.20/0.39  in_min_depth:              2
% 0.20/0.39  in_max_depth:              3
% 0.20/0.39  in_min_size:               5
% 0.20/0.39  in_max_size:              11
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               3
% 0.20/0.39  in_extaxiom_count:                 3
% 0.20/0.39  in_axiom_count:                    2
% 0.20/0.39  in_assumption_count:               2
% 0.20/0.39  in_goal_count:                     1
% 0.20/0.39  in_neg_goal_count:                 1
% 0.20/0.39  in_pos_goal_count:                 0
% 0.20/0.39  in_posunit_goal_count:             0
% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
% 0.20/0.39  "print":1,
% 0.20/0.39  "print_level": 15,
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% 0.20/0.39  "max_depth": 0,
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
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% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
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% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
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% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
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% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1},
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% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
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% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
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% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
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% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
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% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4} 
% 0.20/0.40  
% 0.20/0.40  ]}
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  **** run 1 fork 0 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.40  
% 0.20/0.40  **** run 2 fork 1 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 3 fork 2 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.40  
% 0.20/0.40  **** run 4 fork 3 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.40  
% 0.20/0.40  **** run 5 fork 4 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.20/0.40  
% 0.20/0.40  **** run 6 fork 5 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.40  
% 0.20/0.40  **** run 7 fork 6 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.40  
% 0.20/0.40  **** run 8 fork 7 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  result: proof found
% 0.20/0.44  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.44  by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.20/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.44  
% 0.20/0.44  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.44  
% 0.20/0.44  run 5 fork 4 statistics:
% 0.20/0.44  ----------------------------------
% 0.20/0.44  this run seconds: 0.010099
% 0.20/0.44  total seconds: 0.040153
% 0.20/0.44  stat_given_used: 16
% 0.20/0.44  stat_given_used_at_endgame: 0
% 0.20/0.44  stat_given_candidates:   37
% 0.20/0.44  stat_given_candidates_at_endgame: 0
% 0.20/0.44  stat_given_candidates_h: 0
% 0.20/0.44  stat_binres_derived_cl:   0
% 0.20/0.44  stat_binres_derived_cl_h: 0
% 0.20/0.44  stat_factor_derived_cl: 0
% 0.20/0.44  stat_para_derived_cl: 136
% 0.20/0.44  stat_tautologies_discarded: 0
% 0.20/0.44  stat_forward_subsumed: 22
% 0.20/0.44  stat_derived_cut: 0
% 0.20/0.44  stat_derived_rewritten: 3
% 0.20/0.44  stat_weight_discarded_building: 0
% 0.20/0.44  stat_weight_discarded_cl: 0
% 0.20/0.44  stat_internlimit_discarded_cl: 0
% 0.20/0.44  stat_simplified:  3 simplified 0 derived 0 given
% 0.20/0.44  stat_kept_cl: 70
% 0.20/0.44  stat_built_cl: 105
% 0.20/0.44  stat_hyperres_partial_cl: 0
% 0.20/0.44  stat_made_rewriters: 14
% 0.20/0.44  stat_backward_subsumed: 0
% 0.20/0.44  stat_propagated_subsumed: 0
% 0.20/0.44  stat_clsubs_attempted:                        19
% 0.20/0.44  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.44  stat_clsubs_rule_groundunit_found:             0
% 0.20/0.44  stat_clsubs_top_meta_attempted:                 76
% 0.20/0.44  stat_clsubs_top_meta_failed:                    57
% 0.20/0.44  stat_clsubs_top_meta_nonpref_attempted:                  76
% 0.20/0.44  stat_clsubs_top_meta_nonpref_succeeded:                  37
% 0.20/0.44  stat_clsubs_top_meta_pref_attempted:                     37
% 0.20/0.44  stat_clsubs_top_meta_pref1_succeeded:                    37
% 0.20/0.44  stat_clsubs_top_meta_pref2_succeeded:                    26
% 0.20/0.44  stat_clsubs_top_meta_pref3_succeeded:                    19
% 0.20/0.44  stat_clsubs_top_meta_pref_succeeded:                     19
% 0.20/0.44  stat_clsubs_meta_attempted:                   19
% 0.20/0.44  stat_clsubs_meta_failed:                       0
% 0.20/0.44  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.44  stat_clsubs_unit_attempted:                   19
% 0.20/0.44  stat_clsubs_full_attempted:                    0
% 0.20/0.44  stat_forwardsubs_attempted:                   92
% 0.20/0.44  stat_lit_hash_added:                     85
% 0.20/0.44  stat_lit_hash_computed:                 200
% 0.20/0.44  stat_lit_hash_match_found:               22
% 0.20/0.44  stat_lit_hash_match_miss:               166
% 0.20/0.44  stat_lit_hash_cut_ok:                     0
% 0.20/0.44  stat_lit_strong_cut_ok:                   0
% 0.20/0.44  stat_lit_hash_subsume_ok:                22
% 0.20/0.44  clqueue els 10000000 used 1
% 0.20/0.44  clactive els 10000000 used 17
% 0.20/0.44  clactivesubsume els 10000000 used 55
% 0.20/0.44  queue_termbuf els 200000000 used 3290
% 0.20/0.44  hyper_termbuf els 100000000 used 1
% 0.20/0.44  active_termbuf els 100000000 used 366
% 0.20/0.44  varstack els 5000 last used 1
% 0.20/0.44  given_termbuf els 10000000 last used 1
% 0.20/0.44  simplified_termbuf els 10000000 last used 1
% 0.20/0.44  derived_termbuf els 10000000 last used 22
% 0.20/0.44  wr_mallocs: 508
% 0.20/0.44  wr_callocs: 21
% 0.20/0.44  wr_reallocs: 13
% 0.20/0.44  wr_frees: 2
% 0.20/0.44  wr_malloc_bytes: 4162595220
% 0.20/0.44  wr_calloc_bytes: 112065536
% 0.20/0.44  wr_realloc_bytes: 1200
% 0.20/0.44  wr_realloc_freebytes: 0
% 0.20/0.44  ----------------------------------
%------------------------------------------------------------------------------