TSTP Solution File: SYN721+1 by GKC---0.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.7
% Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n019.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  : 600s
% DateTime : Thu Jul 21 06:44:26 EDT 2022

% Result   : Theorem 0.20s 0.43s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN721+1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n019.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  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 20:55:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.40  
% 0.13/0.40  input clause set summed statistics:
% 0.13/0.40  ----------------------------------
% 0.13/0.40  in_clause_count:                     4
% 0.13/0.40  in_rule_clause_count:                3
% 0.13/0.40  in_fact_clause_count:                1
% 0.13/0.40  in_answer_clause_count:              0
% 0.13/0.40  in_ground_clause_count:              1
% 0.13/0.40  in_unit_clause_count:                1
% 0.13/0.40  in_horn_clause_count:                4
% 0.13/0.40  in_pos_clause_count:                 1
% 0.13/0.40  in_neg_clause_count:                 1
% 0.13/0.40  in_poseq_clause_count:               0
% 0.13/0.40  in_negeq_clause_count:               0
% 0.13/0.40  in_unitposeq_clause_count:           0
% 0.13/0.40  in_chain_clause_count:               0
% 0.13/0.40  in_min_length:             1
% 0.13/0.40  in_max_length:             2
% 0.13/0.40  in_min_depth:              1
% 0.13/0.40  in_max_depth:              1
% 0.13/0.40  in_min_size:               3
% 0.13/0.40  in_max_size:               6
% 0.13/0.40  in_min_vars:               0
% 0.13/0.40  in_max_vars:               3
% 0.13/0.40  in_extaxiom_count:                 0
% 0.13/0.40  in_axiom_count:                    0
% 0.13/0.40  in_assumption_count:               0
% 0.13/0.40  in_goal_count:                     4
% 0.13/0.40  in_neg_goal_count:                 1
% 0.13/0.40  in_pos_goal_count:                 1
% 0.13/0.40  in_posunit_goal_count:             1
% 0.13/0.40  
% 0.13/0.40  auto guide:
% 0.13/0.40  -----------
% 0.13/0.40  {
% 0.13/0.40  "print":1,
% 0.13/0.40  "print_level": 15,
% 0.13/0.40  "max_size": 0,
% 0.13/0.40  "max_depth": 0,
% 0.13/0.40  "max_length": 0,
% 0.13/0.40  "max_dseconds": 0,
% 0.13/0.40  "equality":0,
% 0.13/0.40  "runs":[
% 0.13/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.13/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.13/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.40  
% 0.13/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":10, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.13/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.13/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.13/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.40  
% 0.13/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.13/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.13/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.13/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.13/0.40  
% 0.13/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.40  
% 0.13/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.13/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.13/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1} 
% 0.13/0.40  
% 0.13/0.40  ]}
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  **** run 1 fork 0 starts with strategy
% 0.13/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.13/0.40  
% 0.13/0.40  **** run 2 fork 1 starts with strategy
% 0.13/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.13/0.40  
% 0.13/0.40  **** run 3 fork 2 starts with strategy
% 0.13/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.13/0.40  
% 0.13/0.40  **** run 4 fork 3 starts with strategy
% 0.13/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.13/0.40  
% 0.13/0.40  **** run 5 fork 4 starts with strategy
% 0.13/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.13/0.40  
% 0.13/0.40  **** run 6 fork 5 starts with strategy
% 0.13/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.13/0.40  
% 0.13/0.40  **** run 7 fork 6 starts with strategy
% 0.13/0.40  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 0.13/0.40  
% 0.13/0.40  **** run 8 fork 7 starts with strategy
% 0.13/0.40  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.20/0.43  
% 0.20/0.43  fork 7: search finished without proof.
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  result: proof found
% 0.20/0.43  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.43  by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.43  
% 0.20/0.43  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.43  fof('lx1_$sk', plain, ((~q(X1,a) | ~r(b,X1)) & ((r(X4,X3) | ~q(X2,X3)) & ((q(X5,X5) | ~r(X5,X6)) & r(a,b)))),
% 0.20/0.43    inference(negpush_and_skolemize,[],['lx1'])).
% 0.20/0.43  fof('lx1', conjecture, (((r(a,b) & (! [X] : ((? [Y] : r(X,Y)) => q(X,X)))) & (! [U,V] : (q(U,V) => (! [Z] : r(Z,V))))) => (? [W] : (r(b,W) & q(W,a)))),
% 0.20/0.43    input). 
% 0.20/0.43  cnf('1', plain, (~r(X,Y) | q(X,X)),
% 0.20/0.43    inference(cnf_transformation,[],['lx1_$sk'])).
% 0.20/0.43  cnf('2', plain, (r(a,b)),
% 0.20/0.43    inference(cnf_transformation,[],['lx1_$sk'])).
% 0.20/0.43  cnf('3', plain, (q(a,a)),
% 0.20/0.43    inference(resolution,[],['1','2'])).
% 0.20/0.43  cnf('4', plain, (~q(X,Y) | r(Z,Y)),
% 0.20/0.43    inference(cnf_transformation,[],['lx1_$sk'])).
% 0.20/0.43  cnf('5', plain, (~r(b,X) | ~q(X,a)),
% 0.20/0.43    inference(cnf_transformation,[],['lx1_$sk'])).
% 0.20/0.43  cnf('6', plain, (~r(b,a)),
% 0.20/0.43    inference(resolution,[],['3','5'])).
% 0.20/0.43  cnf('7', plain, ($false),
% 0.20/0.43    inference(resolution,[then_simplify],['3','4','6'])).
% 0.20/0.43  
% 0.20/0.43  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.43  
% 0.20/0.43  run 4 fork 3 statistics:
% 0.20/0.43  ----------------------------------
% 0.20/0.43  this run seconds: 0.006349
% 0.20/0.43  total seconds: 0.028891
% 0.20/0.43  stat_given_used: 5
% 0.20/0.43  stat_given_used_at_endgame: 0
% 0.20/0.43  stat_given_candidates:   5
% 0.20/0.43  stat_given_candidates_at_endgame: 0
% 0.20/0.43  stat_given_candidates_h: 0
% 0.20/0.43  stat_binres_derived_cl:   3
% 0.20/0.43  stat_binres_derived_cl_h: 0
% 0.20/0.43  stat_factor_derived_cl: 0
% 0.20/0.43  stat_para_derived_cl: 0
% 0.20/0.43  stat_tautologies_discarded: 0
% 0.20/0.43  stat_forward_subsumed: 0
% 0.20/0.43  stat_derived_cut: 1
% 0.20/0.43  stat_derived_rewritten: 0
% 0.20/0.43  stat_weight_discarded_building: 0
% 0.20/0.43  stat_weight_discarded_cl: 0
% 0.20/0.43  stat_internlimit_discarded_cl: 0
% 0.20/0.43  stat_simplified:  0 simplified 0 derived 0 given
% 0.20/0.43  stat_kept_cl: 2
% 0.20/0.43  stat_built_cl: 12
% 0.20/0.43  stat_hyperres_partial_cl: 0
% 0.20/0.43  stat_made_rewriters: 0
% 0.20/0.43  stat_backward_subsumed: 0
% 0.20/0.43  stat_propagated_subsumed: 0
% 0.20/0.43  stat_clsubs_attempted:                         0
% 0.20/0.43  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.43  stat_clsubs_rule_groundunit_found:             0
% 0.20/0.43  stat_clsubs_top_meta_attempted:                  6
% 0.20/0.43  stat_clsubs_top_meta_failed:                     6
% 0.20/0.43  stat_clsubs_top_meta_nonpref_attempted:                   6
% 0.20/0.43  stat_clsubs_top_meta_nonpref_succeeded:                   3
% 0.20/0.43  stat_clsubs_top_meta_pref_attempted:                      3
% 0.20/0.43  stat_clsubs_top_meta_pref1_succeeded:                     0
% 0.20/0.43  stat_clsubs_top_meta_pref2_succeeded:                     0
% 0.20/0.43  stat_clsubs_top_meta_pref3_succeeded:                     0
% 0.20/0.43  stat_clsubs_top_meta_pref_succeeded:                      0
% 0.20/0.43  stat_clsubs_meta_attempted:                    0
% 0.20/0.43  stat_clsubs_meta_failed:                       0
% 0.20/0.43  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.43  stat_clsubs_unit_attempted:                    0
% 0.20/0.43  stat_clsubs_full_attempted:                    0
% 0.20/0.43  stat_forwardsubs_attempted:                    3
% 0.20/0.43  stat_lit_hash_added:                      5
% 0.20/0.43  stat_lit_hash_computed:                  16
% 0.20/0.43  stat_lit_hash_match_found:                0
% 0.20/0.43  stat_lit_hash_match_miss:                20
% 0.20/0.43  stat_lit_hash_cut_ok:                     0
% 0.20/0.43  stat_lit_strong_cut_ok:                   1
% 0.20/0.43  stat_lit_hash_subsume_ok:                 0
% 0.20/0.43  clqueue els 10000000 used 1
% 0.20/0.43  clactive els 10000000 used 6
% 0.20/0.43  clactivesubsume els 10000000 used 19
% 0.20/0.43  queue_termbuf els 200000000 used 55
% 0.20/0.43  hyper_termbuf els 100000000 used 1
% 0.20/0.43  active_termbuf els 100000000 used 81
% 0.20/0.43  varstack els 5000 last used 1
% 0.20/0.43  given_termbuf els 10000000 last used 1
% 0.20/0.43  simplified_termbuf els 10000000 last used 1
% 0.20/0.43  derived_termbuf els 10000000 last used 22
% 0.20/0.43  wr_mallocs: 85
% 0.20/0.43  wr_callocs: 19
% 0.20/0.43  wr_reallocs: 0
% 0.20/0.43  wr_frees: 2
% 0.20/0.43  wr_malloc_bytes: 4162580036
% 0.20/0.43  wr_calloc_bytes: 96065504
% 0.20/0.43  wr_realloc_bytes: 0
% 0.20/0.43  wr_realloc_freebytes: 0
% 0.20/0.43  ----------------------------------
%------------------------------------------------------------------------------