TSTP Solution File: SYN400+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYN400+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n017.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 : Fri Sep  1 03:01:34 EDT 2023

% Result   : Theorem 0.19s 0.40s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof('kalish227_$sk',plain,
    ( ( p
      & ~ p )
    | ( ~ p
      & p ) ),
    inference(negpush_and_skolemize,[],[kalish227]) ).

fof(kalish227,conjecture,
    ( ! [X] : p
  <=> p ),
    input ).

cnf('1',plain,
    ( ~ $pr(p)
    | ~ $pr(p) ),
    inference(cnf_transformation,[],['kalish227_$sk']) ).

cnf('2',plain,
    ( $pr(p)
    | $pr(p) ),
    inference(cnf_transformation,[],['kalish227_$sk']) ).

cnf('3',plain,
    $pr(p),
    inference(factorization,[],['2']) ).

cnf('4',plain,
    $false,
    inference(simplify,[then_simplify],['1','3','3']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN400+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.12  % Command  : gkc %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 20:00:11 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.38  
% 0.13/0.38  input clause set summed statistics:
% 0.13/0.38  ----------------------------------
% 0.13/0.38  in_clause_count:                     4
% 0.13/0.38  in_rule_clause_count:                4
% 0.13/0.38  in_fact_clause_count:                0
% 0.13/0.38  in_answer_clause_count:              0
% 0.13/0.38  in_ground_clause_count:              4
% 0.13/0.38  in_unit_clause_count:                0
% 0.13/0.38  in_horn_clause_count:                3
% 0.13/0.38  in_pos_clause_count:                 1
% 0.13/0.38  in_neg_clause_count:                 1
% 0.13/0.38  in_poseq_clause_count:               0
% 0.13/0.38  in_negeq_clause_count:               0
% 0.13/0.38  in_unitposeq_clause_count:           0
% 0.13/0.38  in_chain_clause_count:               0
% 0.13/0.38  in_min_length:             2
% 0.13/0.38  in_max_length:             2
% 0.13/0.38  in_min_depth:              1
% 0.13/0.38  in_max_depth:              1
% 0.13/0.38  in_min_size:               4
% 0.13/0.38  in_max_size:               4
% 0.13/0.38  in_min_vars:               0
% 0.13/0.38  in_max_vars:               0
% 0.13/0.38  in_extaxiom_count:                 0
% 0.13/0.38  in_axiom_count:                    0
% 0.13/0.38  in_assumption_count:               0
% 0.13/0.38  in_goal_count:                     4
% 0.13/0.38  in_neg_goal_count:                 1
% 0.13/0.38  in_pos_goal_count:                 1
% 0.13/0.38  in_posunit_goal_count:             0
% 0.13/0.38  
% 0.13/0.38  auto guide:
% 0.13/0.38  -----------
% 0.13/0.38  {
% 0.13/0.38  "print":1,
% 0.13/0.38  "print_level": 15,
% 0.13/0.38  "max_size": 0,
% 0.13/0.38  "max_depth": 0,
% 0.13/0.38  "max_length": 0,
% 0.13/0.38  "max_dseconds": 0,
% 0.13/0.38  "equality":0,
% 0.13/0.38  "runs":[
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.13/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.13/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.38  
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1} 
% 0.13/0.38  
% 0.13/0.38  ]}
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  **** run 1 fork 0 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 2 fork 1 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 3 fork 2 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.13/0.38  
% 0.13/0.38  **** run 4 fork 3 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.13/0.38  
% 0.13/0.38  **** run 5 fork 4 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.13/0.38  
% 0.13/0.38  **** run 6 fork 5 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.13/0.38  
% 0.13/0.38  **** run 7 fork 6 starts with strategy
% 0.13/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.39  
% 0.13/0.39  **** run 8 fork 7 starts with strategy
% 0.13/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  result: proof found
% 0.19/0.40  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.40  by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.40  
% 0.19/0.40  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.40  
% 0.19/0.40  run 4 fork 3 statistics:
% 0.19/0.40  ----------------------------------
% 0.19/0.40  this run seconds: 0.002072
% 0.19/0.40  total seconds: 0.020318
% 0.19/0.40  stat_given_used: 1
% 0.19/0.40  stat_given_used_at_endgame: 0
% 0.19/0.40  stat_given_candidates:   2
% 0.19/0.40  stat_given_candidates_at_endgame: 0
% 0.19/0.40  stat_given_candidates_h: 0
% 0.19/0.40  stat_binres_derived_cl:   0
% 0.19/0.40  stat_binres_derived_cl_h: 0
% 0.19/0.40  stat_factor_derived_cl: 1
% 0.19/0.40  stat_para_derived_cl: 0
% 0.19/0.40  stat_tautologies_discarded: 0
% 0.19/0.40  stat_forward_subsumed: 0
% 0.19/0.40  stat_derived_cut: 1
% 0.19/0.40  stat_derived_rewritten: 0
% 0.19/0.40  stat_weight_discarded_building: 0
% 0.19/0.40  stat_weight_discarded_cl: 0
% 0.19/0.40  stat_internlimit_discarded_cl: 0
% 0.19/0.40  stat_simplified:  1 simplified 0 derived 0 given
% 0.19/0.40  stat_kept_cl: 1
% 0.19/0.40  stat_built_cl: 3
% 0.19/0.40  stat_hyperres_partial_cl: 0
% 0.19/0.40  stat_made_rewriters: 0
% 0.19/0.40  stat_backward_subsumed: 0
% 0.19/0.40  stat_propagated_subsumed: 0
% 0.19/0.40  stat_clsubs_attempted:                         0
% 0.19/0.40  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.40  stat_clsubs_rule_groundunit_found:             0
% 0.19/0.40  stat_clsubs_top_meta_attempted:                  0
% 0.19/0.40  stat_clsubs_top_meta_failed:                     0
% 0.19/0.40  stat_clsubs_top_meta_nonpref_attempted:                   0
% 0.19/0.40  stat_clsubs_top_meta_nonpref_succeeded:                   0
% 0.19/0.40  stat_clsubs_top_meta_pref_attempted:                      0
% 0.19/0.40  stat_clsubs_top_meta_pref1_succeeded:                     0
% 0.19/0.40  stat_clsubs_top_meta_pref2_succeeded:                     0
% 0.19/0.40  stat_clsubs_top_meta_pref3_succeeded:                     0
% 0.19/0.40  stat_clsubs_top_meta_pref_succeeded:                      0
% 0.19/0.40  stat_clsubs_meta_attempted:                    0
% 0.19/0.40  stat_clsubs_meta_failed:                       0
% 0.19/0.40  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.40  stat_clsubs_unit_attempted:                    0
% 0.19/0.40  stat_clsubs_full_attempted:                    0
% 0.19/0.40  stat_forwardsubs_attempted:                    1
% 0.19/0.40  stat_lit_hash_added:                      5
% 0.19/0.40  stat_lit_hash_computed:                  14
% 0.19/0.40  stat_lit_hash_match_found:                2
% 0.19/0.40  stat_lit_hash_match_miss:                10
% 0.19/0.40  stat_lit_hash_cut_ok:                     2
% 0.19/0.40  stat_lit_strong_cut_ok:                   0
% 0.19/0.40  stat_lit_hash_subsume_ok:                 0
% 0.19/0.40  clqueue els 10000000 used 1
% 0.19/0.40  clactive els 10000000 used 2
% 0.19/0.40  clactivesubsume els 10000000 used 7
% 0.19/0.40  queue_termbuf els 200000000 used 41
% 0.19/0.40  hyper_termbuf els 100000000 used 1
% 0.19/0.40  active_termbuf els 100000000 used 21
% 0.19/0.40  varstack els 5000 last used 1
% 0.19/0.40  given_termbuf els 10000000 last used 1
% 0.19/0.40  simplified_termbuf els 10000000 last used 1
% 0.19/0.40  derived_termbuf els 10000000 last used 5
% 0.19/0.40  wr_mallocs: 50
% 0.19/0.40  wr_callocs: 21
% 0.19/0.40  wr_reallocs: 2
% 0.19/0.40  wr_frees: 2
% 0.19/0.40  wr_malloc_bytes: 4162578884
% 0.19/0.40  wr_calloc_bytes: 112065536
% 0.19/0.40  wr_realloc_bytes: 144
% 0.19/0.40  wr_realloc_freebytes: 0
% 0.19/0.40  ----------------------------------
%------------------------------------------------------------------------------