TSTP Solution File: GEO174+2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GEO174+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n026.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 23:05:57 EDT 2023

% Result   : Theorem 0.22s 0.52s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO174+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : gkc %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Aug 29 23:26:51 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.22/0.45  
% 0.22/0.45  input clause set summed statistics:
% 0.22/0.45  ----------------------------------
% 0.22/0.45  in_clause_count:                    18
% 0.22/0.45  in_rule_clause_count:               16
% 0.22/0.45  in_fact_clause_count:                2
% 0.22/0.45  in_answer_clause_count:              0
% 0.22/0.45  in_ground_clause_count:              4
% 0.22/0.45  in_unit_clause_count:                6
% 0.22/0.45  in_horn_clause_count:               11
% 0.22/0.45  in_pos_clause_count:                 3
% 0.22/0.45  in_neg_clause_count:                 4
% 0.22/0.45  in_poseq_clause_count:               0
% 0.22/0.45  in_negeq_clause_count:               0
% 0.22/0.45  in_unitposeq_clause_count:           0
% 0.22/0.45  in_chain_clause_count:               0
% 0.22/0.45  in_min_length:             1
% 0.22/0.45  in_max_length:             6
% 0.22/0.45  in_min_depth:              1
% 0.22/0.45  in_max_depth:              2
% 0.22/0.45  in_min_size:               3
% 0.22/0.45  in_max_size:              18
% 0.22/0.45  in_min_vars:               0
% 0.22/0.45  in_max_vars:               4
% 0.22/0.45  in_extaxiom_count:                14
% 0.22/0.45  in_axiom_count:                    0
% 0.22/0.45  in_assumption_count:               0
% 0.22/0.45  in_goal_count:                     4
% 0.22/0.45  in_neg_goal_count:                 1
% 0.22/0.45  in_pos_goal_count:                 3
% 0.22/0.45  in_posunit_goal_count:             2
% 0.22/0.45  
% 0.22/0.45  auto guide:
% 0.22/0.45  -----------
% 0.22/0.45  {
% 0.22/0.45  "print":1,
% 0.22/0.45  "print_level": 15,
% 0.22/0.45  "max_size": 0,
% 0.22/0.45  "max_depth": 0,
% 0.22/0.45  "max_length": 0,
% 0.22/0.45  "max_dseconds": 0,
% 0.22/0.45  "equality":0,
% 0.22/0.45  "runs":[
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% 0.22/0.45  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.22/0.45  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.22/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.45  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.22/0.45  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
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% 0.22/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.45  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.45  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.45  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.45  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.45  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.22/0.45  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.22/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.45  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.45  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.45  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
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% 0.22/0.45  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
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% 0.22/0.45  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.22/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.22/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.22/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.45  
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% 0.22/0.45  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.45  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.22/0.45  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.22/0.45  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.45  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
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% 0.22/0.45  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.45  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
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% 0.22/0.45  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
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% 0.22/0.45  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
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% 0.22/0.45  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.45  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.45  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.22/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.45  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.22/0.45  
% 0.22/0.45  ]}
% 0.22/0.45  
% 0.22/0.45  
% 0.22/0.45  **** run 1 fork 0 starts with strategy
% 0.22/0.45  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.45  
% 0.22/0.45  **** run 2 fork 1 starts with strategy
% 0.22/0.45  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.46  
% 0.22/0.46  **** run 3 fork 2 starts with strategy
% 0.22/0.46  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.46  
% 0.22/0.46  **** run 4 fork 3 starts with strategy
% 0.22/0.46  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.46  
% 0.22/0.46  **** run 5 fork 4 starts with strategy
% 0.22/0.46  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.46  
% 0.22/0.46  **** run 6 fork 5 starts with strategy
% 0.22/0.46  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.46  
% 0.22/0.46  **** run 7 fork 6 starts with strategy
% 0.22/0.46  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.22/0.47  
% 0.22/0.47  **** run 8 fork 7 starts with strategy
% 0.22/0.47  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.52  
% 0.22/0.52  
% 0.22/0.52  result: proof found
% 0.22/0.52  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.22/0.52  by run 3 fork 2 strategy {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.22/0.52  
% 0.22/0.52  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.22/0.52  fof('$inc_ceq2_$sk', plain, ((apart_point_and_line(X3,X2) | distinct_lines(X1,X2)) | ~apart_point_and_line(X3,X1)),
% 0.22/0.52    inference(negpush_and_skolemize,[],['$inc_ceq2'])).
% 0.22/0.52  fof('$inc_ceq2', axiom, (! [X,Y,Z] : (apart_point_and_line(X,Y) => (distinct_lines(Y,Z) | apart_point_and_line(X,Z)))),
% 0.22/0.52    input). 
% 0.22/0.52  fof('con_$sk', plain, (~distinct_lines($sk4,line_connecting($sk2,$sk3)) & ((apart_point_and_line($sk3,$sk4) | apart_point_and_line($sk2,$sk4)) & (convergent_lines($sk4,$sk1) & distinct_points($sk2,$sk3)))),
% 0.22/0.52    inference(negpush_and_skolemize,[],['con'])).
% 0.22/0.52  fof('con', conjecture, (! [X,Y,U,V] : (((distinct_points(X,Y) & convergent_lines(U,V)) & (apart_point_and_line(X,U) | apart_point_and_line(Y,U))) => distinct_lines(U,line_connecting(X,Y)))),
% 0.22/0.52    input). 
% 0.22/0.52  fof('$inc_apart2_$sk', plain, ~distinct_lines(X1,X1),
% 0.22/0.52    inference(negpush_and_skolemize,[],['$inc_apart2'])).
% 0.22/0.52  fof('$inc_apart2', axiom, (! [X] : ~distinct_lines(X,X)),
% 0.22/0.52    input). 
% 0.22/0.52  fof('$inc_con1_$sk', plain, (((distinct_points(X3,X2) & distinct_points(X3,X1)) | ~apart_point_and_line(X3,line_connecting(X1,X2))) | ~distinct_points(X1,X2)),
% 0.22/0.52    inference(negpush_and_skolemize,[],['$inc_con1'])).
% 0.22/0.52  fof('$inc_con1', axiom, (! [X,Y,Z] : (distinct_points(X,Y) => (apart_point_and_line(Z,line_connecting(X,Y)) => (distinct_points(Z,X) & distinct_points(Z,Y))))),
% 0.22/0.52    input). 
% 0.22/0.52  fof('$inc_apart1_$sk', plain, ~distinct_points(X1,X1),
% 0.22/0.52    inference(negpush_and_skolemize,[],['$inc_apart1'])).
% 0.22/0.52  fof('$inc_apart1', axiom, (! [X] : ~distinct_points(X,X)),
% 0.22/0.52    input). 
% 0.22/0.52  cnf('1', plain, (~apart_point_and_line(X,Y) | apart_point_and_line(X,Z) | distinct_lines(Y,Z)),
% 0.22/0.52    inference(cnf_transformation,[],['$inc_ceq2_$sk'])).
% 0.22/0.52  cnf('2', plain, (apart_point_and_line($sk3,$sk4) | apart_point_and_line($sk2,$sk4)),
% 0.22/0.52    inference(cnf_transformation,[],['con_$sk'])).
% 0.22/0.52  cnf('3', plain, (apart_point_and_line($sk2,$sk4) | apart_point_and_line($sk3,X) | distinct_lines($sk4,X)),
% 0.22/0.52    inference(resolution,[],['1','2'])).
% 0.22/0.52  cnf('4', plain, (apart_point_and_line($sk2,$sk4) | apart_point_and_line($sk3,X) | distinct_lines($sk4,Y) | distinct_lines(Y,X)),
% 0.22/0.52    inference(resolution,[],['3','1'])).
% 0.22/0.52  cnf('5', plain, (~distinct_lines($sk4,line_connecting($sk2,$sk3))),
% 0.22/0.52    inference(cnf_transformation,[],['con_$sk'])).
% 0.22/0.52  cnf('6', plain, (~distinct_lines(X0,X0)),
% 0.22/0.52    inference(cnf_transformation,[],['$inc_apart2_$sk'])).
% 0.22/0.52  cnf('7', plain, (apart_point_and_line($sk3,line_connecting($sk2,$sk3)) | apart_point_and_line($sk2,$sk4)),
% 0.22/0.52    inference(resolution,[then_simplify],['4','5','6'])).
% 0.22/0.52  cnf('8', plain, (~apart_point_and_line(X,line_connecting(Y,Z)) | ~distinct_points(Y,Z) | distinct_points(X,Z)),
% 0.22/0.52    inference(cnf_transformation,[],['$inc_con1_$sk'])).
% 0.22/0.52  cnf('9', plain, (distinct_points($sk2,$sk3)),
% 0.22/0.52    inference(cnf_transformation,[],['con_$sk'])).
% 0.22/0.52  cnf('10', plain, (~distinct_points(X0,X0)),
% 0.22/0.52    inference(cnf_transformation,[],['$inc_apart1_$sk'])).
% 0.22/0.52  cnf('11', plain, (apart_point_and_line($sk2,$sk4)),
% 0.22/0.52    inference(resolution,[then_simplify],['7','8','9','10'])).
% 0.22/0.52  cnf('12', plain, (apart_point_and_line($sk2,X) | distinct_lines($sk4,X)),
% 0.22/0.52    inference(resolution,[],['11','1'])).
% 0.22/0.52  cnf('13', plain, (apart_point_and_line($sk2,X) | distinct_lines($sk4,Y) | distinct_lines(Y,X)),
% 0.22/0.52    inference(resolution,[],['12','1'])).
% 0.22/0.52  cnf('14', plain, (apart_point_and_line($sk2,line_connecting($sk2,$sk3))),
% 0.22/0.52    inference(resolution,[then_simplify],['13','5','6'])).
% 0.22/0.52  cnf('15', plain, (~apart_point_and_line(X,line_connecting(Y,Z)) | ~distinct_points(Y,Z) | distinct_points(X,Y)),
% 0.22/0.52    inference(cnf_transformation,[],['$inc_con1_$sk'])).
% 0.22/0.52  cnf('16', plain, ($false),
% 0.22/0.52    inference(resolution,[then_simplify],['14','15','9','10'])).
% 0.22/0.52  
% 0.22/0.52  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.22/0.52  
% 0.22/0.52  run 3 fork 2 statistics:
% 0.22/0.52  ----------------------------------
% 0.22/0.52  this run seconds: 0.063279
% 0.22/0.52  total seconds: 0.065593
% 0.22/0.52  stat_given_used: 433
% 0.22/0.52  stat_given_used_at_endgame: 0
% 0.22/0.52  stat_given_candidates:   2411
% 0.22/0.52  stat_given_candidates_at_endgame: 0
% 0.22/0.52  stat_given_candidates_h: 0
% 0.22/0.52  stat_binres_derived_cl:   4753
% 0.22/0.52  stat_binres_derived_cl_h: 0
% 0.22/0.52  stat_factor_derived_cl: 707
% 0.22/0.52  stat_para_derived_cl: 0
% 0.22/0.52  stat_tautologies_discarded: 0
% 0.22/0.52  stat_forward_subsumed: 630
% 0.22/0.52  stat_derived_cut: 280
% 0.22/0.52  stat_derived_rewritten: 0
% 0.22/0.52  stat_weight_discarded_building: 0
% 0.22/0.52  stat_weight_discarded_cl: 405
% 0.22/0.52  stat_internlimit_discarded_cl: 0
% 0.22/0.52  stat_simplified:  0 simplified 0 derived 0 given
% 0.22/0.52  stat_kept_cl: 4424
% 0.22/0.52  stat_built_cl: 5695
% 0.22/0.52  stat_hyperres_partial_cl: 0
% 0.22/0.52  stat_made_rewriters: 0
% 0.22/0.52  stat_backward_subsumed: 0
% 0.22/0.52  stat_propagated_subsumed: 0
% 0.22/0.52  stat_clsubs_attempted:                     35371
% 0.22/0.52  stat_clsubs_fact_groundunit_found:             3
% 0.22/0.52  stat_clsubs_rule_groundunit_found:             1
% 0.22/0.52  stat_clsubs_top_meta_attempted:             290687
% 0.22/0.52  stat_clsubs_top_meta_failed:                255316
% 0.22/0.52  stat_clsubs_top_meta_nonpref_attempted:              290687
% 0.22/0.52  stat_clsubs_top_meta_nonpref_succeeded:              134839
% 0.22/0.52  stat_clsubs_top_meta_pref_attempted:                 134839
% 0.22/0.52  stat_clsubs_top_meta_pref1_succeeded:                 97154
% 0.22/0.52  stat_clsubs_top_meta_pref2_succeeded:                 35396
% 0.22/0.52  stat_clsubs_top_meta_pref3_succeeded:                 35371
% 0.22/0.52  stat_clsubs_top_meta_pref_succeeded:                  35371
% 0.22/0.52  stat_clsubs_meta_attempted:               177487
% 0.22/0.52  stat_clsubs_meta_failed:                   78241
% 0.22/0.52  stat_clsubs_predsymbs_attempted:               0
% 0.22/0.52  stat_clsubs_unit_attempted:                   75
% 0.22/0.52  stat_clsubs_full_attempted:                35296
% 0.22/0.52  stat_forwardsubs_attempted:                 5460
% 0.22/0.52  stat_lit_hash_added:                   1273
% 0.22/0.52  stat_lit_hash_computed:               55017
% 0.22/0.52  stat_lit_hash_match_found:              663
% 0.22/0.52  stat_lit_hash_match_miss:             79883
% 0.22/0.52  stat_lit_hash_cut_ok:                    29
% 0.22/0.52  stat_lit_strong_cut_ok:                 260
% 0.22/0.52  stat_lit_hash_subsume_ok:               630
% 0.22/0.52  clqueue els 10000000 used 1
% 0.22/0.52  clactive els 10000000 used 434
% 0.22/0.52  clactivesubsume els 10000000 used 2509
% 0.22/0.52  queue_termbuf els 200000000 used 236963
% 0.22/0.52  hyper_termbuf els 100000000 used 1
% 0.22/0.52  active_termbuf els 100000000 used 15140
% 0.22/0.52  varstack els 5000 last used 1
% 0.22/0.52  given_termbuf els 10000000 last used 1
% 0.22/0.52  simplified_termbuf els 10000000 last used 1
% 0.22/0.52  derived_termbuf els 10000000 last used 32
% 0.22/0.52  wr_mallocs: 3029
% 0.22/0.52  wr_callocs: 21
% 0.22/0.52  wr_reallocs: 214
% 0.22/0.52  wr_frees: 2
% 0.22/0.52  wr_malloc_bytes: 4162703972
% 0.22/0.52  wr_calloc_bytes: 112065536
% 0.22/0.52  wr_realloc_bytes: 163728
% 0.22/0.52  wr_realloc_freebytes: 0
% 0.22/0.52  ----------------------------------
%------------------------------------------------------------------------------