TSTP Solution File: COL075-2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : COL075-2 : TPTP v8.1.2. Released v1.2.0.
% 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 : Wed Aug 30 18:27:18 EDT 2023

% Result   : Unsatisfiable 0.17s 0.81s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named abstraction)

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

cnf('2',plain,
    apply(apply(k,X),Y) = X,
    inference(cnf_transformation,[],[k_definition]) ).

cnf('3',plain,
    apply(apply(apply(abstraction,X),apply(k,Y)),Z) = apply(apply(X,apply(k,Z)),Y),
    inference(paramodulation,[],['2','1']) ).

cnf('4',plain,
    apply(apply(apply(apply(abstraction,abstraction),k),X3),Y3) = apply(apply(apply(k,X3),apply(k,Y3)),X3),
    inference(paramodulation,[],['1','3']) ).

cnf('5',plain,
    apply(apply(apply(apply(abstraction,abstraction),k),X),Y) = apply(X,X),
    inference(simplify,[],['4','2']) ).

cnf('6',plain,
    apply(apply(X,b(X)),c(X)) != apply(b(X),b(X)),
    inference(cnf_transformation,[],[prove_diagonal_combinator]) ).

cnf('7',plain,
    $false,
    inference(resolution,[],['5','6']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : COL075-2 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.11  % Command  : gkc %s
% 0.12/0.31  % Computer : n032.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sun Aug 27 04:56:44 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.12/0.36  
% 0.12/0.36  input clause set summed statistics:
% 0.12/0.36  ----------------------------------
% 0.12/0.36  in_clause_count:                     3
% 0.12/0.36  in_rule_clause_count:                3
% 0.12/0.36  in_fact_clause_count:                0
% 0.12/0.36  in_answer_clause_count:              0
% 0.12/0.36  in_ground_clause_count:              0
% 0.12/0.36  in_unit_clause_count:                3
% 0.12/0.36  in_horn_clause_count:                3
% 0.12/0.36  in_pos_clause_count:                 2
% 0.12/0.36  in_neg_clause_count:                 1
% 0.12/0.36  in_poseq_clause_count:               2
% 0.12/0.36  in_negeq_clause_count:               1
% 0.12/0.36  in_unitposeq_clause_count:           2
% 0.12/0.36  in_chain_clause_count:               0
% 0.12/0.36  in_min_length:             1
% 0.12/0.36  in_max_length:             1
% 0.12/0.36  in_min_depth:              3
% 0.12/0.36  in_max_depth:              4
% 0.12/0.36  in_min_size:               7
% 0.12/0.36  in_max_size:              17
% 0.12/0.36  in_min_vars:               1
% 0.12/0.36  in_max_vars:               3
% 0.12/0.36  in_extaxiom_count:                 0
% 0.12/0.36  in_axiom_count:                    2
% 0.12/0.36  in_assumption_count:               0
% 0.12/0.36  in_goal_count:                     1
% 0.12/0.36  in_neg_goal_count:                 1
% 0.12/0.36  in_pos_goal_count:                 0
% 0.12/0.36  in_posunit_goal_count:             0
% 0.12/0.36  
% 0.12/0.36  auto guide:
% 0.12/0.36  -----------
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% 0.12/0.36  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.12/0.36  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
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% 0.12/0.36  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.36  {"max_dseconds": 250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
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% 0.12/0.36  {"max_dseconds": 250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
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% 0.12/0.36  {"max_dseconds": 250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.12/0.36  {"max_dseconds": 250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
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% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 0},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 1},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 2},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.12/0.36  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.12/0.36  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4} 
% 0.12/0.36  
% 0.12/0.36  ]}
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  **** run 1 fork 0 starts with strategy
% 0.12/0.36  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.12/0.36  
% 0.12/0.36  **** run 2 fork 1 starts with strategy
% 0.12/0.36  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.12/0.36  
% 0.12/0.36  **** run 3 fork 2 starts with strategy
% 0.12/0.36  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.12/0.36  
% 0.12/0.36  **** run 4 fork 3 starts with strategy
% 0.12/0.36  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.12/0.36  
% 0.12/0.36  **** run 5 fork 4 starts with strategy
% 0.12/0.36  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.12/0.36  
% 0.12/0.36  **** run 6 fork 5 starts with strategy
% 0.12/0.36  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.12/0.36  
% 0.12/0.36  **** run 7 fork 6 starts with strategy
% 0.12/0.36  
% 0.12/0.36  **** run 8 fork 7 starts with strategy
% 0.12/0.36  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.12/0.36  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.17/0.48  
% 0.17/0.48  
% 0.17/0.48  fork 2: search terminated without proof.
% 0.17/0.48  
% 0.17/0.48  
% 0.17/0.48  fork 6: search terminated without proof.
% 0.17/0.48  
% 0.17/0.48  
% 0.17/0.48  fork 7: search terminated without proof.
% 0.17/0.48  
% 0.17/0.48  
% 0.17/0.48  fork 5: search terminated without proof.
% 0.17/0.48  
% 0.17/0.48  
% 0.17/0.48  fork 0: search terminated without proof.
% 0.17/0.49  
% 0.17/0.49  
% 0.17/0.49  fork 4: search terminated without proof.
% 0.17/0.49  
% 0.17/0.49  
% 0.17/0.49  fork 3: search terminated without proof.
% 0.17/0.50  
% 0.17/0.50  **** run 11 fork 2 starts with strategy
% 0.17/0.50  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.17/0.50  
% 0.17/0.50  **** run 15 fork 6 starts with strategy
% 0.17/0.50  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.17/0.50  
% 0.17/0.50  **** run 9 fork 0 starts with strategy
% 0.17/0.50  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.17/0.50  
% 0.17/0.50  **** run 14 fork 5 starts with strategy
% 0.17/0.50  {"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}
% 0.17/0.51  
% 0.17/0.51  **** run 16 fork 7 starts with strategy
% 0.17/0.51  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 0.17/0.51  
% 0.17/0.51  **** run 13 fork 4 starts with strategy
% 0.17/0.51  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.17/0.51  
% 0.17/0.51  **** run 12 fork 3 starts with strategy
% 0.17/0.51  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.17/0.61  
% 0.17/0.61  
% 0.17/0.61  fork 6: search terminated without proof.
% 0.17/0.62  
% 0.17/0.62  
% 0.17/0.62  fork 7: search terminated without proof.
% 0.17/0.63  
% 0.17/0.63  
% 0.17/0.63  fork 3: search terminated without proof.
% 0.17/0.63  
% 0.17/0.63  **** run 23 fork 6 starts with strategy
% 0.17/0.63  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.17/0.64  
% 0.17/0.64  **** run 24 fork 7 starts with strategy
% 0.17/0.64  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 0.17/0.64  
% 0.17/0.64  **** run 20 fork 3 starts with strategy
% 0.17/0.64  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
% 0.17/0.77  
% 0.17/0.77  
% 0.17/0.77  fork 7: search terminated without proof.
% 0.17/0.79  
% 0.17/0.79  **** run 32 fork 7 starts with strategy
% 0.17/0.79  {"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}
% 0.17/0.81  
% 0.17/0.81  
% 0.17/0.81  result: proof found
% 0.17/0.81  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.17/0.81  by run 9 fork 0 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.17/0.81  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.17/0.81  
% 0.17/0.81  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.17/0.81  
% 0.17/0.81  run 9 fork 0 statistics:
% 0.17/0.81  ----------------------------------
% 0.17/0.81  this run seconds: 0.092714
% 0.17/0.81  total seconds: 0.251671
% 0.17/0.81  stat_given_used: 55
% 0.17/0.81  stat_given_used_at_endgame: 54
% 0.17/0.81  stat_given_candidates:   567
% 0.17/0.81  stat_given_candidates_at_endgame: 555
% 0.17/0.81  stat_given_candidates_h: 0
% 0.17/0.81  stat_binres_derived_cl:   1
% 0.17/0.81  stat_binres_derived_cl_h: 0
% 0.17/0.81  stat_factor_derived_cl: 0
% 0.17/0.81  stat_para_derived_cl: 5109
% 0.17/0.81  stat_tautologies_discarded: 0
% 0.17/0.81  stat_forward_subsumed: 937
% 0.17/0.81  stat_derived_cut: 0
% 0.17/0.81  stat_derived_rewritten: 17
% 0.17/0.81  stat_weight_discarded_building: 0
% 0.17/0.81  stat_weight_discarded_cl: 462
% 0.17/0.81  stat_internlimit_discarded_cl: 0
% 0.17/0.81  stat_simplified:  17 simplified 0 derived 0 given
% 0.17/0.81  stat_kept_cl: 3574
% 0.17/0.81  stat_built_cl: 4163
% 0.17/0.81  stat_hyperres_partial_cl: 0
% 0.17/0.81  stat_made_rewriters: 41
% 0.17/0.81  stat_backward_subsumed: 0
% 0.17/0.81  stat_propagated_subsumed: 0
% 0.17/0.81  stat_clsubs_attempted:                       313
% 0.17/0.81  stat_clsubs_fact_groundunit_found:             0
% 0.17/0.81  stat_clsubs_rule_groundunit_found:             1
% 0.17/0.81  stat_clsubs_top_meta_attempted:               1397
% 0.17/0.81  stat_clsubs_top_meta_failed:                  1084
% 0.17/0.81  stat_clsubs_top_meta_nonpref_attempted:                1397
% 0.17/0.81  stat_clsubs_top_meta_nonpref_succeeded:                 358
% 0.17/0.81  stat_clsubs_top_meta_pref_attempted:                    358
% 0.17/0.81  stat_clsubs_top_meta_pref1_succeeded:                   340
% 0.17/0.81  stat_clsubs_top_meta_pref2_succeeded:                   327
% 0.17/0.81  stat_clsubs_top_meta_pref3_succeeded:                   313
% 0.17/0.81  stat_clsubs_top_meta_pref_succeeded:                    313
% 0.17/0.81  stat_clsubs_meta_attempted:                  313
% 0.17/0.81  stat_clsubs_meta_failed:                       4
% 0.17/0.81  stat_clsubs_predsymbs_attempted:               0
% 0.17/0.81  stat_clsubs_unit_attempted:                  313
% 0.17/0.81  stat_clsubs_full_attempted:                    0
% 0.17/0.81  stat_forwardsubs_attempted:                 4973
% 0.17/0.81  stat_lit_hash_added:                   3579
% 0.17/0.81  stat_lit_hash_computed:                8620
% 0.17/0.81  stat_lit_hash_match_found:              945
% 0.17/0.81  stat_lit_hash_match_miss:              8149
% 0.17/0.81  stat_lit_hash_cut_ok:                     0
% 0.17/0.81  stat_lit_strong_cut_ok:                   0
% 0.17/0.81  stat_lit_hash_subsume_ok:               937
% 0.17/0.81  clqueue els 10000000 used 1
% 0.17/0.81  clactive els 10000000 used 56
% 0.17/0.81  clactivesubsume els 10000000 used 319
% 0.17/0.81  queue_termbuf els 200000000 used 468582
% 0.17/0.81  hyper_termbuf els 100000000 used 1
% 0.17/0.81  active_termbuf els 100000000 used 3906
% 0.17/0.81  varstack els 5000 last used 1
% 0.17/0.81  given_termbuf els 10000000 last used 49
% 0.17/0.81  simplified_termbuf els 10000000 last used 1
% 0.17/0.81  derived_termbuf els 10000000 last used 3
% 0.17/0.81  wr_mallocs: 15475
% 0.17/0.81  wr_callocs: 21
% 0.17/0.81  wr_reallocs: 303
% 0.17/0.81  wr_frees: 2
% 0.17/0.81  wr_malloc_bytes: 4163146660
% 0.17/0.81  wr_calloc_bytes: 112065536
% 0.17/0.81  wr_realloc_bytes: 41248
% 0.17/0.81  wr_realloc_freebytes: 0
% 0.17/0.81  ----------------------------------
%------------------------------------------------------------------------------