TSTP Solution File: GEO176+3 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 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 23:05:59 EDT 2023

% Result   : Theorem 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10  % Command  : gkc %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Tue Aug 29 20:22:02 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.10/0.33  
% 0.10/0.33  input clause set summed statistics:
% 0.10/0.33  ----------------------------------
% 0.10/0.33  in_clause_count:                    50
% 0.10/0.33  in_rule_clause_count:               48
% 0.10/0.33  in_fact_clause_count:                2
% 0.10/0.33  in_answer_clause_count:              0
% 0.10/0.33  in_ground_clause_count:              4
% 0.10/0.33  in_unit_clause_count:               10
% 0.10/0.33  in_horn_clause_count:               24
% 0.10/0.33  in_pos_clause_count:                10
% 0.10/0.33  in_neg_clause_count:                17
% 0.10/0.33  in_poseq_clause_count:               0
% 0.10/0.33  in_negeq_clause_count:               0
% 0.10/0.33  in_unitposeq_clause_count:           0
% 0.10/0.33  in_chain_clause_count:               0
% 0.10/0.33  in_min_length:             1
% 0.10/0.33  in_max_length:             6
% 0.10/0.33  in_min_depth:              1
% 0.10/0.33  in_max_depth:              2
% 0.10/0.33  in_min_size:               3
% 0.10/0.33  in_max_size:              18
% 0.10/0.33  in_min_vars:               0
% 0.10/0.33  in_max_vars:               4
% 0.10/0.33  in_extaxiom_count:                46
% 0.10/0.33  in_axiom_count:                    0
% 0.10/0.33  in_assumption_count:               0
% 0.10/0.33  in_goal_count:                     4
% 0.10/0.33  in_neg_goal_count:                 1
% 0.10/0.33  in_pos_goal_count:                 3
% 0.10/0.33  in_posunit_goal_count:             2
% 0.10/0.33  
% 0.10/0.33  auto guide:
% 0.10/0.33  -----------
% 0.10/0.33  {
% 0.10/0.33  "print":1,
% 0.10/0.33  "print_level": 15,
% 0.10/0.33  "max_size": 0,
% 0.10/0.33  "max_depth": 0,
% 0.10/0.33  "max_length": 0,
% 0.10/0.33  "max_dseconds": 0,
% 0.10/0.33  "equality":0,
% 0.10/0.33  "runs":[
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.33  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.10/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.33  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.33  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.33  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.33  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.10/0.33  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.10/0.33  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.33  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.10/0.33  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.33  
% 0.10/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.33  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.10/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.33  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.10/0.33  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.10/0.33  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.33  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.33  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.10/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.10/0.33  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.10/0.33  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.33  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.33  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
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% 0.10/0.33  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
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% 0.10/0.33  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.10/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.10/0.33  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
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% 0.10/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
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% 0.10/0.33  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.33  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.10/0.33  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.10/0.33  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.33  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.10/0.33  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.10/0.33  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.10/0.33  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.10/0.33  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.33  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.10/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.10/0.33  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.33  
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% 0.10/0.33  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.10/0.33  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
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% 0.10/0.33  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
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% 0.10/0.33  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.33  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
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% 0.10/0.33  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.10/0.33  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.33  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.10/0.33  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.33  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.33  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.10/0.33  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.10/0.33  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.10/0.33  
% 0.10/0.33  ]}
% 0.10/0.33  
% 0.10/0.33  
% 0.10/0.33  **** run 1 fork 0 starts with strategy
% 0.10/0.33  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.10/0.33  
% 0.10/0.33  **** run 2 fork 1 starts with strategy
% 0.10/0.33  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.10/0.33  
% 0.10/0.33  **** run 3 fork 2 starts with strategy
% 0.10/0.33  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.10/0.33  
% 0.10/0.33  **** run 4 fork 3 starts with strategy
% 0.10/0.33  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.10/0.33  
% 0.10/0.33  **** run 5 fork 4 starts with strategy
% 0.10/0.33  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.10/0.33  
% 0.10/0.33  **** run 6 fork 5 starts with strategy
% 0.10/0.33  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.10/0.33  
% 0.10/0.33  **** run 7 fork 6 starts with strategy
% 0.10/0.33  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.10/0.34  
% 0.10/0.34  **** run 8 fork 7 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  result: proof found
% 0.14/0.40  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.14/0.40  by run 2 fork 1 strategy {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.14/0.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.14/0.40  
% 0.14/0.40  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.14/0.40  fof('$inc_ceq1_$sk', plain, ((apart_point_and_line(X3,X2) | distinct_points(X1,X3)) | ~apart_point_and_line(X1,X2)),
% 0.14/0.40    inference(negpush_and_skolemize,[],['$inc_ceq1'])).
% 0.14/0.40  fof('$inc_ceq1', axiom, (! [X,Y,Z] : (apart_point_and_line(X,Y) => (distinct_points(X,Z) | apart_point_and_line(Z,Y)))),
% 0.14/0.40    input). 
% 0.14/0.40  fof('con_$sk', plain, (~distinct_points($sk4,intersection_point($sk2,$sk3)) & ((apart_point_and_line($sk4,$sk3) | apart_point_and_line($sk4,$sk2)) & (convergent_lines($sk2,$sk3) & distinct_points($sk4,$sk1)))),
% 0.14/0.40    inference(negpush_and_skolemize,[],['con'])).
% 0.14/0.40  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(X,V))) => distinct_points(X,intersection_point(U,V)))),
% 0.14/0.40    input). 
% 0.14/0.40  fof('$inc_apart1_$sk', plain, ~distinct_points(X1,X1),
% 0.14/0.40    inference(negpush_and_skolemize,[],['$inc_apart1'])).
% 0.14/0.40  fof('$inc_apart1', axiom, (! [X] : ~distinct_points(X,X)),
% 0.14/0.40    input). 
% 0.14/0.40  fof('$inc_ci4_$sk', plain, (~apart_point_and_line(intersection_point(X2,X1),X1) | ~convergent_lines(X2,X1)),
% 0.14/0.40    inference(negpush_and_skolemize,[],['$inc_ci4'])).
% 0.14/0.40  fof('$inc_ci4', axiom, (! [X,Y] : (convergent_lines(X,Y) => ~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.14/0.40    input). 
% 0.14/0.40  fof('$inc_ci3_$sk', plain, (~apart_point_and_line(intersection_point(X2,X1),X2) | ~convergent_lines(X2,X1)),
% 0.14/0.40    inference(negpush_and_skolemize,[],['$inc_ci3'])).
% 0.14/0.40  fof('$inc_ci3', axiom, (! [X,Y] : (convergent_lines(X,Y) => ~apart_point_and_line(intersection_point(X,Y),X))),
% 0.14/0.40    input). 
% 0.14/0.40  fof('$inc_ax6_$sk', plain, ((convergent_lines(X3,X2) | convergent_lines(X1,X2)) | ~convergent_lines(X1,X3)),
% 0.14/0.40    inference(negpush_and_skolemize,[],['$inc_ax6'])).
% 0.14/0.40  fof('$inc_ax6', axiom, (! [X,Y,Z] : (convergent_lines(X,Y) => (convergent_lines(X,Z) | convergent_lines(Y,Z)))),
% 0.14/0.40    input). 
% 0.14/0.40  fof('$inc_apart3_$sk', plain, ~convergent_lines(X1,X1),
% 0.14/0.40    inference(negpush_and_skolemize,[],['$inc_apart3'])).
% 0.14/0.40  fof('$inc_apart3', axiom, (! [X] : ~convergent_lines(X,X)),
% 0.14/0.40    input). 
% 0.14/0.40  fof('$inc_ceq3_$sk', plain, ((convergent_lines(X3,X2) | distinct_lines(X1,X2)) | ~convergent_lines(X3,X1)),
% 0.14/0.40    inference(negpush_and_skolemize,[],['$inc_ceq3'])).
% 0.14/0.40  fof('$inc_ceq3', axiom, (! [X,Y,Z] : (convergent_lines(X,Y) => (distinct_lines(Y,Z) | convergent_lines(X,Z)))),
% 0.14/0.40    input). 
% 0.14/0.40  fof('$inc_apart2_$sk', plain, ~distinct_lines(X1,X1),
% 0.14/0.40    inference(negpush_and_skolemize,[],['$inc_apart2'])).
% 0.14/0.40  fof('$inc_apart2', axiom, (! [X] : ~distinct_lines(X,X)),
% 0.14/0.40    input). 
% 0.14/0.40  cnf('1', plain, (~apart_point_and_line(X,Y) | apart_point_and_line(Z,Y) | distinct_points(X,Z)),
% 0.14/0.40    inference(cnf_transformation,[],['$inc_ceq1_$sk'])).
% 0.14/0.40  cnf('2', plain, (apart_point_and_line($sk4,$sk3) | apart_point_and_line($sk4,$sk2)),
% 0.14/0.40    inference(cnf_transformation,[],['con_$sk'])).
% 0.14/0.40  cnf('3', plain, (apart_point_and_line($sk4,$sk2) | distinct_points($sk4,X) | apart_point_and_line(X,$sk3)),
% 0.14/0.40    inference(resolution,[],['1','2'])).
% 0.14/0.40  cnf('4', plain, (apart_point_and_line($sk4,$sk2) | distinct_points($sk4,X) | apart_point_and_line(Y,$sk3) | distinct_points(X,Y)),
% 0.14/0.40    inference(resolution,[],['3','1'])).
% 0.14/0.40  cnf('5', plain, (~distinct_points($sk4,intersection_point($sk2,$sk3))),
% 0.14/0.40    inference(cnf_transformation,[],['con_$sk'])).
% 0.14/0.40  cnf('6', plain, (~distinct_points(X0,X0)),
% 0.14/0.40    inference(cnf_transformation,[],['$inc_apart1_$sk'])).
% 0.14/0.40  cnf('7', plain, (apart_point_and_line(intersection_point($sk2,$sk3),$sk3) | apart_point_and_line($sk4,$sk2)),
% 0.14/0.40    inference(resolution,[then_simplify],['4','5','6'])).
% 0.14/0.40  cnf('8', plain, (~apart_point_and_line(intersection_point(X,Y),Y) | ~convergent_lines(X,Y)),
% 0.14/0.40    inference(cnf_transformation,[],['$inc_ci4_$sk'])).
% 0.14/0.40  cnf('9', plain, (convergent_lines($sk2,$sk3)),
% 0.14/0.40    inference(cnf_transformation,[],['con_$sk'])).
% 0.14/0.40  cnf('10', plain, (apart_point_and_line($sk4,$sk2)),
% 0.14/0.40    inference(resolution,[then_simplify],['7','8','9'])).
% 0.14/0.40  cnf('11', plain, (distinct_points($sk4,X) | apart_point_and_line(X,$sk2)),
% 0.14/0.40    inference(resolution,[],['10','1'])).
% 0.14/0.40  cnf('12', plain, (~apart_point_and_line(intersection_point(X,Y),X) | ~convergent_lines(X,Y)),
% 0.14/0.40    inference(cnf_transformation,[],['$inc_ci3_$sk'])).
% 0.14/0.40  cnf('13', plain, (distinct_points($sk4,intersection_point($sk2,X)) | ~convergent_lines($sk2,X)),
% 0.14/0.40    inference(resolution,[],['11','12'])).
% 0.14/0.40  cnf('14', plain, (~convergent_lines(X,Y) | convergent_lines(X,Z) | convergent_lines(Y,Z)),
% 0.14/0.40    inference(cnf_transformation,[],['$inc_ax6_$sk'])).
% 0.14/0.40  cnf('15', plain, (convergent_lines($sk2,$sk3)),
% 0.14/0.40    inference(cnf_transformation,[],['con_$sk'])).
% 0.14/0.40  cnf('16', plain, (convergent_lines($sk3,X) | convergent_lines($sk2,X)),
% 0.14/0.40    inference(resolution,[],['14','15'])).
% 0.14/0.40  cnf('17', plain, (convergent_lines($sk3,X) | convergent_lines($sk2,Y) | convergent_lines(Y,X)),
% 0.14/0.40    inference(resolution,[],['16','14'])).
% 0.14/0.40  cnf('18', plain, (~convergent_lines(X,X)),
% 0.14/0.40    inference(cnf_transformation,[],['$inc_apart3_$sk'])).
% 0.14/0.40  cnf('19', plain, (convergent_lines($sk2,X) | convergent_lines(X,$sk3)),
% 0.14/0.40    inference(resolution,[],['17','18'])).
% 0.14/0.40  cnf('20', plain, (~convergent_lines(X,Y) | convergent_lines(X,Z) | distinct_lines(Y,Z)),
% 0.14/0.40    inference(cnf_transformation,[],['$inc_ceq3_$sk'])).
% 0.14/0.40  cnf('21', plain, (convergent_lines($sk2,X) | convergent_lines(Y,$sk3) | distinct_lines(Y,X)),
% 0.14/0.40    inference(resolution,[],['19','20'])).
% 0.14/0.40  cnf('22', plain, (convergent_lines(X,$sk3) | distinct_lines(X,$sk2)),
% 0.14/0.40    inference(resolution,[],['21','18'])).
% 0.14/0.40  cnf('23', plain, (convergent_lines($sk3,X) | convergent_lines(Y,X) | distinct_lines(Y,$sk2)),
% 0.14/0.40    inference(resolution,[],['22','14'])).
% 0.14/0.40  cnf('24', plain, (convergent_lines($sk3,X) | distinct_lines(X,$sk2)),
% 0.14/0.40    inference(resolution,[],['23','18'])).
% 0.14/0.40  cnf('25', plain, (convergent_lines($sk3,X) | distinct_lines(Y,$sk2) | distinct_lines(Y,X)),
% 0.14/0.40    inference(resolution,[],['24','20'])).
% 0.14/0.40  cnf('26', plain, (convergent_lines($sk3,X) | convergent_lines(Y,X) | distinct_lines(Z,$sk2) | distinct_lines(Z,Y)),
% 0.14/0.40    inference(resolution,[],['25','14'])).
% 0.14/0.40  cnf('27', plain, (convergent_lines(X,$sk3) | distinct_lines(Y,$sk2) | distinct_lines(Y,X)),
% 0.14/0.40    inference(resolution,[],['26','18'])).
% 0.14/0.40  cnf('28', plain, (~distinct_points($sk4,intersection_point($sk2,$sk3))),
% 0.14/0.40    inference(cnf_transformation,[],['con_$sk'])).
% 0.14/0.40  cnf('29', plain, (~distinct_lines(X0,X0)),
% 0.14/0.40    inference(cnf_transformation,[],['$inc_apart2_$sk'])).
% 0.14/0.40  cnf('30', plain, ($false),
% 0.14/0.40    inference(resolution,[then_simplify],['13','27','28','29'])).
% 0.14/0.40  
% 0.14/0.40  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.14/0.40  
% 0.14/0.40  run 2 fork 1 statistics:
% 0.14/0.40  ----------------------------------
% 0.14/0.40  this run seconds: 0.034373
% 0.14/0.40  total seconds: 0.067870
% 0.14/0.40  stat_given_used: 248
% 0.14/0.40  stat_given_used_at_endgame: 0
% 0.14/0.40  stat_given_candidates:   1174
% 0.14/0.40  stat_given_candidates_at_endgame: 0
% 0.14/0.40  stat_given_candidates_h: 0
% 0.14/0.40  stat_binres_derived_cl:   3367
% 0.14/0.40  stat_binres_derived_cl_h: 0
% 0.14/0.40  stat_factor_derived_cl: 539
% 0.14/0.40  stat_para_derived_cl: 0
% 0.14/0.40  stat_tautologies_discarded: 0
% 0.14/0.40  stat_forward_subsumed: 280
% 0.14/0.40  stat_derived_cut: 83
% 0.14/0.40  stat_derived_rewritten: 0
% 0.14/0.40  stat_weight_discarded_building: 0
% 0.14/0.40  stat_weight_discarded_cl: 0
% 0.14/0.40  stat_internlimit_discarded_cl: 0
% 0.14/0.40  stat_simplified:  0 simplified 0 derived 0 given
% 0.14/0.40  stat_kept_cl: 3625
% 0.14/0.40  stat_built_cl: 4121
% 0.14/0.40  stat_hyperres_partial_cl: 0
% 0.14/0.40  stat_made_rewriters: 0
% 0.14/0.40  stat_backward_subsumed: 0
% 0.14/0.40  stat_propagated_subsumed: 0
% 0.14/0.40  stat_clsubs_attempted:                      9803
% 0.14/0.40  stat_clsubs_fact_groundunit_found:             6
% 0.14/0.40  stat_clsubs_rule_groundunit_found:             3
% 0.14/0.40  stat_clsubs_top_meta_attempted:              69374
% 0.14/0.40  stat_clsubs_top_meta_failed:                 59571
% 0.14/0.40  stat_clsubs_top_meta_nonpref_attempted:               69374
% 0.14/0.40  stat_clsubs_top_meta_nonpref_succeeded:               40475
% 0.14/0.40  stat_clsubs_top_meta_pref_attempted:                  40475
% 0.14/0.40  stat_clsubs_top_meta_pref1_succeeded:                 26287
% 0.14/0.40  stat_clsubs_top_meta_pref2_succeeded:                  9804
% 0.14/0.40  stat_clsubs_top_meta_pref3_succeeded:                  9803
% 0.14/0.40  stat_clsubs_top_meta_pref_succeeded:                   9803
% 0.14/0.40  stat_clsubs_meta_attempted:                49624
% 0.14/0.40  stat_clsubs_meta_failed:                   23228
% 0.14/0.40  stat_clsubs_predsymbs_attempted:               0
% 0.14/0.40  stat_clsubs_unit_attempted:                   74
% 0.14/0.40  stat_clsubs_full_attempted:                 9729
% 0.14/0.40  stat_forwardsubs_attempted:                 3906
% 0.14/0.40  stat_lit_hash_added:                    673
% 0.14/0.40  stat_lit_hash_computed:               48550
% 0.14/0.40  stat_lit_hash_match_found:              297
% 0.14/0.40  stat_lit_hash_match_miss:             71879
% 0.14/0.40  stat_lit_hash_cut_ok:                     7
% 0.14/0.40  stat_lit_strong_cut_ok:                  79
% 0.14/0.40  stat_lit_hash_subsume_ok:               280
% 0.14/0.40  clqueue els 10000000 used 1
% 0.14/0.40  clactive els 10000000 used 249
% 0.14/0.40  clactivesubsume els 10000000 used 1429
% 0.14/0.40  queue_termbuf els 200000000 used 246838
% 0.14/0.40  hyper_termbuf els 100000000 used 1
% 0.14/0.40  active_termbuf els 100000000 used 8760
% 0.14/0.40  varstack els 5000 last used 1
% 0.14/0.40  given_termbuf els 10000000 last used 1
% 0.14/0.40  simplified_termbuf els 10000000 last used 1
% 0.14/0.40  derived_termbuf els 10000000 last used 48
% 0.14/0.40  wr_mallocs: 1814
% 0.14/0.40  wr_callocs: 21
% 0.14/0.40  wr_reallocs: 186
% 0.14/0.40  wr_frees: 4
% 0.14/0.40  wr_malloc_bytes: 4162669076
% 0.14/0.40  wr_calloc_bytes: 112065536
% 0.14/0.40  wr_realloc_bytes: 123440
% 0.14/0.40  wr_realloc_freebytes: 0
% 0.14/0.40  ----------------------------------
%------------------------------------------------------------------------------