TSTP Solution File: COL033-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : COL033-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n003.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 18:26:56 EDT 2023

% Result   : Unsatisfiable 0.22s 0.58s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named b_definition)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
    inference(cnf_transformation,[],[b_definition]) ).

cnf('2',plain,
    apply(X,f(X)) != apply(f(X),apply(X,f(X))),
    inference(cnf_transformation,[],[prove_fixed_point]) ).

cnf('3',plain,
    apply(apply(apply(b,X3),Y3),f(apply(apply(b,X3),Y3))) != apply(f(apply(apply(b,X3),Y3)),apply(X3,apply(Y3,f(apply(apply(b,X3),Y3))))),
    inference(paramodulation,[],['1','2']) ).

cnf('4',plain,
    apply(X,apply(Y,f(apply(apply(b,X),Y)))) != apply(f(apply(apply(b,X),Y)),apply(X,apply(Y,f(apply(apply(b,X),Y))))),
    inference(simplify,[],['3','1']) ).

cnf('5',plain,
    apply(m,X) = apply(X,X),
    inference(cnf_transformation,[],[m_definition]) ).

cnf('6',plain,
    apply(apply(apply(b,apply(X3,Y3)),X3),Y3) = apply(m,apply(X3,Y3)),
    inference(paramodulation,[],['5','1']) ).

cnf('7',plain,
    apply(apply(X,Y),apply(X,Y)) = apply(m,apply(X,Y)),
    inference(simplify,[],['6','1']) ).

cnf('8',plain,
    apply(apply(l,X),Y) = apply(X,apply(Y,Y)),
    inference(cnf_transformation,[],[l_definition]) ).

cnf('9',plain,
    apply(m,apply(l,X3)) = apply(X3,apply(apply(l,X3),apply(l,X3))),
    inference(paramodulation,[],['7','8']) ).

cnf('10',plain,
    apply(m,apply(l,X)) = apply(X,apply(m,apply(l,X))),
    inference(simplify,[],['9','7']) ).

cnf('11',plain,
    $false,
    inference(resolution,[],['4','10']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : COL033-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14  % Command  : gkc %s
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 04:12:09 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.22/0.40  
% 0.22/0.40  input clause set summed statistics:
% 0.22/0.40  ----------------------------------
% 0.22/0.40  in_clause_count:                     4
% 0.22/0.40  in_rule_clause_count:                4
% 0.22/0.40  in_fact_clause_count:                0
% 0.22/0.40  in_answer_clause_count:              0
% 0.22/0.40  in_ground_clause_count:              0
% 0.22/0.40  in_unit_clause_count:                4
% 0.22/0.40  in_horn_clause_count:                4
% 0.22/0.40  in_pos_clause_count:                 3
% 0.22/0.40  in_neg_clause_count:                 1
% 0.22/0.40  in_poseq_clause_count:               3
% 0.22/0.40  in_negeq_clause_count:               1
% 0.22/0.40  in_unitposeq_clause_count:           3
% 0.22/0.40  in_chain_clause_count:               0
% 0.22/0.40  in_min_length:             1
% 0.22/0.40  in_max_length:             1
% 0.22/0.40  in_min_depth:              2
% 0.22/0.40  in_max_depth:              4
% 0.22/0.40  in_min_size:               7
% 0.22/0.40  in_max_size:              13
% 0.22/0.40  in_min_vars:               1
% 0.22/0.40  in_max_vars:               3
% 0.22/0.40  in_extaxiom_count:                 0
% 0.22/0.40  in_axiom_count:                    3
% 0.22/0.40  in_assumption_count:               0
% 0.22/0.40  in_goal_count:                     1
% 0.22/0.40  in_neg_goal_count:                 1
% 0.22/0.40  in_pos_goal_count:                 0
% 0.22/0.40  in_posunit_goal_count:             0
% 0.22/0.40  
% 0.22/0.40  auto guide:
% 0.22/0.40  -----------
% 0.22/0.40  {
% 0.22/0.40  "print":1,
% 0.22/0.40  "print_level": 15,
% 0.22/0.40  "max_size": 0,
% 0.22/0.40  "max_depth": 0,
% 0.22/0.40  "max_length": 0,
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% 0.22/0.40  {"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},
% 0.22/0.40  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.22/0.40  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.22/0.40  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.22/0.40  {"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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% 0.22/0.40  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
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% 0.22/0.40  
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% 0.22/0.40  {"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},
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% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4} 
% 0.22/0.41  
% 0.22/0.41  ]}
% 0.22/0.41  
% 0.22/0.41  
% 0.22/0.41  **** run 1 fork 0 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.22/0.41  
% 0.22/0.41  **** run 2 fork 1 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.22/0.41  
% 0.22/0.41  **** run 3 fork 2 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.22/0.41  
% 0.22/0.41  **** run 4 fork 3 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.22/0.41  
% 0.22/0.41  **** run 8 fork 7 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.22/0.41  
% 0.22/0.41  **** run 6 fork 5 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.22/0.42  
% 0.22/0.42  **** run 5 fork 4 starts with strategy
% 0.22/0.42  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.22/0.43  
% 0.22/0.43  **** run 7 fork 6 starts with strategy
% 0.22/0.43  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.22/0.53  
% 0.22/0.53  
% 0.22/0.53  fork 2: search terminated without proof.
% 0.22/0.53  
% 0.22/0.53  
% 0.22/0.53  fork 7: search terminated without proof.
% 0.22/0.53  
% 0.22/0.53  
% 0.22/0.53  fork 5: search terminated without proof.
% 0.22/0.55  
% 0.22/0.55  **** run 16 fork 7 starts with strategy
% 0.22/0.55  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 0.22/0.56  
% 0.22/0.56  **** run 11 fork 2 starts with strategy
% 0.22/0.56  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.56  
% 0.22/0.56  **** run 14 fork 5 starts with strategy
% 0.22/0.56  {"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}
% 0.22/0.58  
% 0.22/0.58  
% 0.22/0.58  result: proof found
% 0.22/0.58  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.58  by run 7 fork 6 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.22/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.58  
% 0.22/0.58  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.22/0.58  
% 0.22/0.58  run 7 fork 6 statistics:
% 0.22/0.58  ----------------------------------
% 0.22/0.58  this run seconds: 0.043512
% 0.22/0.58  total seconds: 0.065252
% 0.22/0.58  stat_given_used: 38
% 0.22/0.58  stat_given_used_at_endgame: 0
% 0.22/0.58  stat_given_candidates:   147
% 0.22/0.58  stat_given_candidates_at_endgame: 0
% 0.22/0.58  stat_given_candidates_h: 0
% 0.22/0.58  stat_binres_derived_cl:   1
% 0.22/0.58  stat_binres_derived_cl_h: 0
% 0.22/0.58  stat_factor_derived_cl: 0
% 0.22/0.58  stat_para_derived_cl: 4338
% 0.22/0.58  stat_tautologies_discarded: 0
% 0.22/0.58  stat_forward_subsumed: 1605
% 0.22/0.58  stat_derived_cut: 0
% 0.22/0.58  stat_derived_rewritten: 34
% 0.22/0.58  stat_weight_discarded_building: 0
% 0.22/0.58  stat_weight_discarded_cl: 0
% 0.22/0.58  stat_internlimit_discarded_cl: 0
% 0.22/0.58  stat_simplified:  34 simplified 0 derived 0 given
% 0.22/0.58  stat_kept_cl: 2405
% 0.22/0.58  stat_built_cl: 2515
% 0.22/0.58  stat_hyperres_partial_cl: 0
% 0.22/0.58  stat_made_rewriters: 24
% 0.22/0.58  stat_backward_subsumed: 0
% 0.22/0.58  stat_propagated_subsumed: 0
% 0.22/0.58  stat_clsubs_attempted:                       257
% 0.22/0.58  stat_clsubs_fact_groundunit_found:             0
% 0.22/0.58  stat_clsubs_rule_groundunit_found:             0
% 0.22/0.58  stat_clsubs_top_meta_attempted:                904
% 0.22/0.58  stat_clsubs_top_meta_failed:                   647
% 0.22/0.58  stat_clsubs_top_meta_nonpref_attempted:                 904
% 0.22/0.58  stat_clsubs_top_meta_nonpref_succeeded:                 454
% 0.22/0.58  stat_clsubs_top_meta_pref_attempted:                    454
% 0.22/0.58  stat_clsubs_top_meta_pref1_succeeded:                   448
% 0.22/0.58  stat_clsubs_top_meta_pref2_succeeded:                   448
% 0.22/0.58  stat_clsubs_top_meta_pref3_succeeded:                   257
% 0.22/0.58  stat_clsubs_top_meta_pref_succeeded:                    257
% 0.22/0.58  stat_clsubs_meta_attempted:                  257
% 0.22/0.58  stat_clsubs_meta_failed:                      11
% 0.22/0.58  stat_clsubs_predsymbs_attempted:               0
% 0.22/0.58  stat_clsubs_unit_attempted:                  257
% 0.22/0.58  stat_clsubs_full_attempted:                    0
% 0.22/0.58  stat_forwardsubs_attempted:                 4010
% 0.22/0.58  stat_lit_hash_added:                   2411
% 0.22/0.58  stat_lit_hash_computed:                6519
% 0.22/0.58  stat_lit_hash_match_found:             1638
% 0.22/0.58  stat_lit_hash_match_miss:              4909
% 0.22/0.58  stat_lit_hash_cut_ok:                     0
% 0.22/0.58  stat_lit_strong_cut_ok:                   0
% 0.22/0.58  stat_lit_hash_subsume_ok:              1605
% 0.22/0.58  clqueue els 10000000 used 1
% 0.22/0.58  clactive els 10000000 used 39
% 0.22/0.58  clactivesubsume els 10000000 used 217
% 0.22/0.58  queue_termbuf els 200000000 used 245166
% 0.22/0.58  hyper_termbuf els 100000000 used 1
% 0.22/0.58  active_termbuf els 100000000 used 1998
% 0.22/0.58  varstack els 5000 last used 1
% 0.22/0.58  given_termbuf els 10000000 last used 109
% 0.22/0.58  simplified_termbuf els 10000000 last used 1
% 0.22/0.58  derived_termbuf els 10000000 last used 3
% 0.22/0.58  wr_mallocs: 9761
% 0.22/0.58  wr_callocs: 21
% 0.22/0.58  wr_reallocs: 357
% 0.22/0.58  wr_frees: 2
% 0.22/0.58  wr_malloc_bytes: 4162928740
% 0.22/0.58  wr_calloc_bytes: 112065536
% 0.22/0.58  wr_realloc_bytes: 57016
% 0.22/0.58  wr_realloc_freebytes: 0
% 0.22/0.58  ----------------------------------
%------------------------------------------------------------------------------