TSTP Solution File: COL011-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : COL011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n006.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 18:26:51 EDT 2023

% Result   : Unsatisfiable 0.19s 0.79s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named q1_definition)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    apply(apply(apply(q1,X),Y),Z) = apply(X,apply(Z,Y)),
    inference(cnf_transformation,[],[q1_definition]) ).

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

cnf('3',plain,
    apply(apply(o,X),apply(apply(q1,Y),Z)) = apply(Y,apply(apply(X,apply(apply(q1,Y),Z)),Z)),
    inference(paramodulation,[],['1','2']) ).

cnf('4',plain,
    apply(apply(apply(o,X),apply(apply(q1,apply(q1,Y)),Z)),U) = apply(Y,apply(U,apply(apply(X,apply(apply(q1,apply(q1,Y)),Z)),Z))),
    inference(paramodulation,[],['3','1']) ).

cnf('5',plain,
    X != apply(combinator,X),
    inference(cnf_transformation,[],[prove_fixed_point]) ).

cnf('6',plain,
    apply(X,apply(apply(Y,apply(apply(q1,apply(q1,combinator)),Z)),Z)) != apply(apply(apply(o,Y),apply(apply(q1,apply(q1,combinator)),Z)),X),
    inference(paramodulation,[],['4','5']) ).

cnf('7',plain,
    apply(apply(apply(q1,X0),X1),X2) = apply(X0,apply(X2,X1)),
    inference(cnf_transformation,[],[q1_definition]) ).

cnf('8',plain,
    $false,
    inference(paramodulation,[then_simplify],['1','6','7']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n006.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 04:22:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38  input clause set summed statistics:
% 0.19/0.38  ----------------------------------
% 0.19/0.38  in_clause_count:                     3
% 0.19/0.38  in_rule_clause_count:                3
% 0.19/0.38  in_fact_clause_count:                0
% 0.19/0.38  in_answer_clause_count:              0
% 0.19/0.38  in_ground_clause_count:              0
% 0.19/0.38  in_unit_clause_count:                3
% 0.19/0.38  in_horn_clause_count:                3
% 0.19/0.38  in_pos_clause_count:                 2
% 0.19/0.38  in_neg_clause_count:                 1
% 0.19/0.38  in_poseq_clause_count:               2
% 0.19/0.38  in_negeq_clause_count:               1
% 0.19/0.38  in_unitposeq_clause_count:           2
% 0.19/0.38  in_chain_clause_count:               0
% 0.19/0.38  in_min_length:             1
% 0.19/0.38  in_max_length:             1
% 0.19/0.38  in_min_depth:              2
% 0.19/0.38  in_max_depth:              4
% 0.19/0.38  in_min_size:               5
% 0.19/0.38  in_max_size:              13
% 0.19/0.38  in_min_vars:               1
% 0.19/0.38  in_max_vars:               3
% 0.19/0.38  in_extaxiom_count:                 0
% 0.19/0.38  in_axiom_count:                    2
% 0.19/0.38  in_assumption_count:               0
% 0.19/0.38  in_goal_count:                     1
% 0.19/0.38  in_neg_goal_count:                 1
% 0.19/0.38  in_pos_goal_count:                 0
% 0.19/0.38  in_posunit_goal_count:             0
% 0.19/0.38  
% 0.19/0.38  auto guide:
% 0.19/0.38  -----------
% 0.19/0.38  {
% 0.19/0.38  "print":1,
% 0.19/0.38  "print_level": 15,
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% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
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% 0.19/0.38  ]}
% 0.19/0.38  
% 0.19/0.39  
% 0.19/0.39  **** run 1 fork 0 starts with strategy
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% 0.19/0.39  
% 0.19/0.39  **** run 2 fork 1 starts with strategy
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% 0.19/0.39  
% 0.19/0.39  **** run 3 fork 2 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.39  
% 0.19/0.39  **** run 4 fork 3 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.39  
% 0.19/0.39  **** run 5 fork 4 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.39  
% 0.19/0.39  **** run 6 fork 5 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.39  
% 0.19/0.39  **** run 7 fork 6 starts with strategy
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% 0.19/0.50  fork 7: search terminated without proof.
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% 0.19/0.51  fork 0: search terminated without proof.
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% 0.19/0.52  fork 6: search terminated without proof.
% 0.19/0.53  
% 0.19/0.53  **** run 9 fork 0 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.53  
% 0.19/0.53  **** run 11 fork 2 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.53  
% 0.19/0.53  **** run 16 fork 7 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 0.19/0.53  
% 0.19/0.53  **** run 14 fork 5 starts with strategy
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 3: search terminated without proof.
% 0.19/0.53  {"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}
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  fork 1: search terminated without proof.
% 0.19/0.54  
% 0.19/0.54  **** run 13 fork 4 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.19/0.54  
% 0.19/0.54  **** run 15 fork 6 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.55  
% 0.19/0.55  **** run 12 fork 3 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.56  
% 0.19/0.56  **** run 10 fork 1 starts with strategy
% 0.19/0.56  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.64  
% 0.19/0.64  
% 0.19/0.64  fork 0: search terminated without proof.
% 0.19/0.64  
% 0.19/0.64  
% 0.19/0.64  fork 2: search terminated without proof.
% 0.19/0.64  
% 0.19/0.64  
% 0.19/0.64  fork 7: search terminated without proof.
% 0.19/0.65  
% 0.19/0.65  
% 0.19/0.65  fork 5: search terminated without proof.
% 0.19/0.65  
% 0.19/0.65  
% 0.19/0.65  fork 4: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  **** run 17 fork 0 starts with strategy
% 0.19/0.66  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.66  
% 0.19/0.66  **** run 19 fork 2 starts with strategy
% 0.19/0.66  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 0.19/0.66  
% 0.19/0.66  **** run 24 fork 7 starts with strategy
% 0.19/0.66  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.67  
% 0.19/0.67  **** run 21 fork 4 starts with strategy
% 0.19/0.67  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.67  
% 0.19/0.67  
% 0.19/0.67  fork 3: search terminated without proof.
% 0.19/0.67  
% 0.19/0.67  **** run 22 fork 5 starts with strategy
% 0.19/0.67  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.19/0.69  
% 0.19/0.69  **** run 20 fork 3 starts with strategy
% 0.19/0.69  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
% 0.19/0.78  
% 0.19/0.78  
% 0.19/0.78  fork 4: search terminated without proof.
% 0.19/0.79  
% 0.19/0.79  
% 0.19/0.79  fork 0: search terminated without proof.
% 0.19/0.79  
% 0.19/0.79  
% 0.19/0.79  fork 2: search terminated without proof.
% 0.19/0.79  
% 0.19/0.79  
% 0.19/0.79  fork 7: search terminated without proof.
% 0.19/0.79  
% 0.19/0.79  
% 0.19/0.79  result: proof found
% 0.19/0.79  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.79  by run 15 fork 6 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.79  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.79  
% 0.19/0.79  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.79  
% 0.19/0.79  run 15 fork 6 statistics:
% 0.19/0.79  ----------------------------------
% 0.19/0.79  this run seconds: 0.029778
% 0.19/0.79  total seconds: 0.185829
% 0.19/0.79  stat_given_used: 38
% 0.19/0.79  stat_given_used_at_endgame: 0
% 0.19/0.79  stat_given_candidates:   50
% 0.19/0.79  stat_given_candidates_at_endgame: 0
% 0.19/0.79  stat_given_candidates_h: 0
% 0.19/0.79  stat_binres_derived_cl:   0
% 0.19/0.79  stat_binres_derived_cl_h: 0
% 0.19/0.79  stat_factor_derived_cl: 0
% 0.19/0.79  stat_para_derived_cl: 931
% 0.19/0.79  stat_tautologies_discarded: 0
% 0.19/0.79  stat_forward_subsumed: 42
% 0.19/0.79  stat_derived_cut: 1
% 0.19/0.79  stat_derived_rewritten: 4
% 0.19/0.79  stat_weight_discarded_building: 0
% 0.19/0.79  stat_weight_discarded_cl: 0
% 0.19/0.79  stat_internlimit_discarded_cl: 0
% 0.19/0.79  stat_simplified:  4 simplified 0 derived 0 given
% 0.19/0.79  stat_kept_cl: 876
% 0.19/0.79  stat_built_cl: 956
% 0.19/0.79  stat_hyperres_partial_cl: 0
% 0.19/0.79  stat_made_rewriters: 6
% 0.19/0.79  stat_backward_subsumed: 0
% 0.19/0.79  stat_propagated_subsumed: 0
% 0.19/0.79  stat_clsubs_attempted:                       247
% 0.19/0.79  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.79  stat_clsubs_rule_groundunit_found:             0
% 0.19/0.79  stat_clsubs_top_meta_attempted:                709
% 0.19/0.79  stat_clsubs_top_meta_failed:                   462
% 0.19/0.79  stat_clsubs_top_meta_nonpref_attempted:                 709
% 0.19/0.79  stat_clsubs_top_meta_nonpref_succeeded:                 288
% 0.19/0.79  stat_clsubs_top_meta_pref_attempted:                    288
% 0.19/0.79  stat_clsubs_top_meta_pref1_succeeded:                   250
% 0.19/0.79  stat_clsubs_top_meta_pref2_succeeded:                   250
% 0.19/0.79  stat_clsubs_top_meta_pref3_succeeded:                   247
% 0.19/0.79  stat_clsubs_top_meta_pref_succeeded:                    247
% 0.19/0.79  stat_clsubs_meta_attempted:                  247
% 0.19/0.79  stat_clsubs_meta_failed:                       4
% 0.19/0.80  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.80  stat_clsubs_unit_attempted:                  247
% 0.19/0.80  stat_clsubs_full_attempted:                    0
% 0.19/0.80  stat_forwardsubs_attempted:                  919
% 0.19/0.80  stat_lit_hash_added:                    879
% 0.19/0.80  stat_lit_hash_computed:                1839
% 0.19/0.80  stat_lit_hash_match_found:               43
% 0.19/0.80  stat_lit_hash_match_miss:              1798
% 0.19/0.80  stat_lit_hash_cut_ok:                     0
% 0.19/0.80  stat_lit_strong_cut_ok:                   1
% 0.19/0.80  stat_lit_hash_subsume_ok:                42
% 0.19/0.80  clqueue els 10000000 used 1
% 0.19/0.80  clactive els 10000000 used 39
% 0.19/0.80  clactivesubsume els 10000000 used 229
% 0.19/0.80  queue_termbuf els 200000000 used 171362
% 0.19/0.80  hyper_termbuf els 100000000 used 1
% 0.19/0.80  active_termbuf els 100000000 used 3491
% 0.19/0.80  varstack els 5000 last used 1
% 0.19/0.80  given_termbuf els 10000000 last used 1
% 0.19/0.80  simplified_termbuf els 10000000 last used 1
% 0.19/0.80  derived_termbuf els 10000000 last used 192
% 0.19/0.80  wr_mallocs: 4483
% 0.19/0.80  wr_callocs: 21
% 0.19/0.80  wr_reallocs: 25
% 0.19/0.80  wr_frees: 2
% 0.19/0.80  wr_malloc_bytes: 4162746228
% 0.19/0.80  wr_calloc_bytes: 112065536
% 0.19/0.80  wr_realloc_bytes: 2136
% 0.19/0.80  wr_realloc_freebytes: 0
% 0.19/0.80  ----------------------------------
%------------------------------------------------------------------------------