TSTP Solution File: COL062-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : COL062-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n012.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 18:27:10 EDT 2023

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% 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(apply(t,X),Y) = apply(Y,X),
    inference(cnf_transformation,[],[t_definition]) ).

cnf('3',plain,
    apply(apply(apply(X,f(X)),g(X)),h(X)) != apply(apply(f(X),h(X)),g(X)),
    inference(cnf_transformation,[],[prove_c_combinator]) ).

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

cnf('5',plain,
    apply(apply(apply(apply(X,f(apply(apply(b,apply(t,Y)),X))),Y),g(apply(apply(b,apply(t,Y)),X))),h(apply(apply(b,apply(t,Y)),X))) != apply(apply(f(apply(apply(b,apply(t,Y)),X)),h(apply(apply(b,apply(t,Y)),X))),g(apply(apply(b,apply(t,Y)),X))),
    inference(paramodulation,[],['2','4']) ).

cnf('6',plain,
    apply(apply(apply(apply(X,apply(Y,f(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y))))),Z),g(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))),h(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))) != apply(apply(f(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y))),h(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))),g(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))),
    inference(paramodulation,[],['1','5']) ).

cnf('7',plain,
    apply(apply(apply(X,f(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))),apply(Y,g(apply(apply(b,apply(t,Y)),apply(apply(b,b),X))))),h(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))) != apply(apply(f(apply(apply(b,apply(t,Y)),apply(apply(b,b),X))),h(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))),g(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))),
    inference(paramodulation,[],['1','6']) ).

cnf('8',plain,
    apply(apply(apply(X,g(apply(apply(b,apply(t,X)),apply(apply(b,b),t)))),f(apply(apply(b,apply(t,X)),apply(apply(b,b),t)))),h(apply(apply(b,apply(t,X)),apply(apply(b,b),t)))) != apply(apply(f(apply(apply(b,apply(t,X)),apply(apply(b,b),t))),h(apply(apply(b,apply(t,X)),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,X)),apply(apply(b,b),t)))),
    inference(paramodulation,[],['2','7']) ).

cnf('9',plain,
    apply(apply(apply(X,apply(Y,g(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),t))))),f(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),t)))),h(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),t)))) != apply(apply(f(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),t)))),
    inference(paramodulation,[],['1','8']) ).

cnf('10',plain,
    apply(apply(t,X0),X1) = apply(X1,X0),
    inference(cnf_transformation,[],[t_definition]) ).

cnf('11',plain,
    $false,
    inference(paramodulation,[then_simplify],['1','9','10']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL062-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n012.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 : Sun Aug 27 04:56:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.39  
% 0.13/0.39  input clause set summed statistics:
% 0.13/0.39  ----------------------------------
% 0.13/0.39  in_clause_count:                     3
% 0.13/0.39  in_rule_clause_count:                3
% 0.13/0.39  in_fact_clause_count:                0
% 0.13/0.39  in_answer_clause_count:              0
% 0.13/0.39  in_ground_clause_count:              0
% 0.13/0.39  in_unit_clause_count:                3
% 0.13/0.39  in_horn_clause_count:                3
% 0.13/0.39  in_pos_clause_count:                 2
% 0.13/0.39  in_neg_clause_count:                 1
% 0.13/0.39  in_poseq_clause_count:               2
% 0.13/0.39  in_negeq_clause_count:               1
% 0.13/0.39  in_unitposeq_clause_count:           2
% 0.13/0.39  in_chain_clause_count:               0
% 0.13/0.39  in_min_length:             1
% 0.13/0.39  in_max_length:             1
% 0.13/0.39  in_min_depth:              3
% 0.13/0.39  in_max_depth:              5
% 0.13/0.39  in_min_size:               9
% 0.13/0.39  in_max_size:              19
% 0.13/0.39  in_min_vars:               1
% 0.13/0.39  in_max_vars:               3
% 0.13/0.39  in_extaxiom_count:                 0
% 0.13/0.39  in_axiom_count:                    2
% 0.13/0.39  in_assumption_count:               0
% 0.13/0.39  in_goal_count:                     1
% 0.13/0.39  in_neg_goal_count:                 1
% 0.13/0.39  in_pos_goal_count:                 0
% 0.13/0.39  in_posunit_goal_count:             0
% 0.13/0.39  
% 0.13/0.39  auto guide:
% 0.13/0.39  -----------
% 0.13/0.39  {
% 0.13/0.39  "print":1,
% 0.13/0.39  "print_level": 15,
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% 0.13/0.39  {"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},
% 0.13/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  **** run 1 fork 0 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.13/0.39  
% 0.13/0.39  **** run 2 fork 1 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.13/0.39  
% 0.13/0.39  **** run 3 fork 2 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.13/0.39  
% 0.13/0.39  **** run 4 fork 3 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.13/0.39  
% 0.13/0.39  **** run 5 fork 4 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.13/0.39  
% 0.13/0.39  **** run 6 fork 5 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.39  
% 0.20/0.39  **** run 7 fork 6 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.41  
% 0.20/0.41  **** run 8 fork 7 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  result: proof found
% 0.20/0.51  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.51  by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.51  
% 0.20/0.51  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.51  
% 0.20/0.51  run 4 fork 3 statistics:
% 0.20/0.51  ----------------------------------
% 0.20/0.51  this run seconds: 0.089740
% 0.20/0.51  total seconds: 0.111489
% 0.20/0.51  stat_given_used: 582
% 0.20/0.51  stat_given_used_at_endgame: 0
% 0.20/0.51  stat_given_candidates:   617
% 0.20/0.51  stat_given_candidates_at_endgame: 0
% 0.20/0.51  stat_given_candidates_h: 0
% 0.20/0.51  stat_binres_derived_cl:   0
% 0.20/0.51  stat_binres_derived_cl_h: 0
% 0.20/0.51  stat_factor_derived_cl: 0
% 0.20/0.51  stat_para_derived_cl: 1911
% 0.20/0.51  stat_tautologies_discarded: 0
% 0.20/0.51  stat_forward_subsumed: 282
% 0.20/0.51  stat_derived_cut: 1
% 0.20/0.51  stat_derived_rewritten: 0
% 0.20/0.51  stat_weight_discarded_building: 0
% 0.20/0.51  stat_weight_discarded_cl: 736
% 0.20/0.51  stat_internlimit_discarded_cl: 0
% 0.20/0.51  stat_simplified:  0 simplified 0 derived 0 given
% 0.20/0.51  stat_kept_cl: 888
% 0.20/0.51  stat_built_cl: 2788
% 0.20/0.51  stat_hyperres_partial_cl: 0
% 0.20/0.51  stat_made_rewriters: 2
% 0.20/0.51  stat_backward_subsumed: 0
% 0.20/0.51  stat_propagated_subsumed: 0
% 0.20/0.51  stat_clsubs_attempted:                     43958
% 0.20/0.51  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.51  stat_clsubs_rule_groundunit_found:             3
% 0.20/0.51  stat_clsubs_top_meta_attempted:             153952
% 0.20/0.51  stat_clsubs_top_meta_failed:                109994
% 0.20/0.51  stat_clsubs_top_meta_nonpref_attempted:              153952
% 0.20/0.51  stat_clsubs_top_meta_nonpref_succeeded:               57029
% 0.20/0.51  stat_clsubs_top_meta_pref_attempted:                  57029
% 0.20/0.51  stat_clsubs_top_meta_pref1_succeeded:                 56320
% 0.20/0.51  stat_clsubs_top_meta_pref2_succeeded:                 56320
% 0.20/0.51  stat_clsubs_top_meta_pref3_succeeded:                 43958
% 0.20/0.51  stat_clsubs_top_meta_pref_succeeded:                  43958
% 0.20/0.51  stat_clsubs_meta_attempted:                43958
% 0.20/0.51  stat_clsubs_meta_failed:                       0
% 0.20/0.51  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.51  stat_clsubs_unit_attempted:                43958
% 0.20/0.51  stat_clsubs_full_attempted:                    0
% 0.20/0.51  stat_forwardsubs_attempted:                 1907
% 0.20/0.51  stat_lit_hash_added:                    933
% 0.20/0.51  stat_lit_hash_computed:                3488
% 0.20/0.51  stat_lit_hash_match_found:              285
% 0.20/0.51  stat_lit_hash_match_miss:              3895
% 0.20/0.51  stat_lit_hash_cut_ok:                     0
% 0.20/0.51  stat_lit_strong_cut_ok:                   1
% 0.20/0.51  stat_lit_hash_subsume_ok:               282
% 0.20/0.51  clqueue els 10000000 used 1
% 0.20/0.51  clactive els 10000000 used 583
% 0.20/0.51  clactivesubsume els 10000000 used 3241
% 0.20/0.51  queue_termbuf els 200000000 used 330557
% 0.20/0.51  hyper_termbuf els 100000000 used 1
% 0.20/0.51  active_termbuf els 100000000 used 194123
% 0.20/0.51  varstack els 5000 last used 1
% 0.20/0.51  given_termbuf els 10000000 last used 1
% 0.20/0.51  simplified_termbuf els 10000000 last used 1
% 0.20/0.51  derived_termbuf els 10000000 last used 388
% 0.20/0.51  wr_mallocs: 50403
% 0.20/0.51  wr_callocs: 21
% 0.20/0.51  wr_reallocs: 116
% 0.20/0.51  wr_frees: 2
% 0.20/0.51  wr_malloc_bytes: 4164207300
% 0.20/0.51  wr_calloc_bytes: 112065536
% 0.20/0.51  wr_realloc_bytes: 15312
% 0.20/0.51  wr_realloc_freebytes: 0
% 0.20/0.51  ----------------------------------
%------------------------------------------------------------------------------