TSTP Solution File: GEO221+2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GEO221+2 : TPTP v8.1.2. Released v3.3.0.
% 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 23:06:32 EDT 2023

% Result   : Theorem 0.15s 0.52s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : GEO221+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.11  % Command  : gkc %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue Aug 29 23:18:17 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.34  
% 0.15/0.34  input clause set summed statistics:
% 0.15/0.34  ----------------------------------
% 0.15/0.34  in_clause_count:                    27
% 0.15/0.34  in_rule_clause_count:               27
% 0.15/0.34  in_fact_clause_count:                0
% 0.15/0.34  in_answer_clause_count:              0
% 0.15/0.34  in_ground_clause_count:              2
% 0.15/0.34  in_unit_clause_count:                9
% 0.15/0.34  in_horn_clause_count:               14
% 0.15/0.34  in_pos_clause_count:                 2
% 0.15/0.34  in_neg_clause_count:                 8
% 0.15/0.34  in_poseq_clause_count:               0
% 0.15/0.34  in_negeq_clause_count:               0
% 0.15/0.34  in_unitposeq_clause_count:           0
% 0.15/0.34  in_chain_clause_count:               0
% 0.15/0.34  in_min_length:             1
% 0.15/0.34  in_max_length:             6
% 0.15/0.34  in_min_depth:              1
% 0.15/0.34  in_max_depth:              2
% 0.15/0.34  in_min_size:               3
% 0.15/0.34  in_max_size:              18
% 0.15/0.34  in_min_vars:               0
% 0.15/0.34  in_max_vars:               4
% 0.15/0.34  in_extaxiom_count:                25
% 0.15/0.34  in_axiom_count:                    0
% 0.15/0.34  in_assumption_count:               0
% 0.15/0.34  in_goal_count:                     2
% 0.15/0.34  in_neg_goal_count:                 1
% 0.15/0.34  in_pos_goal_count:                 1
% 0.15/0.34  in_posunit_goal_count:             1
% 0.15/0.34  
% 0.15/0.34  auto guide:
% 0.15/0.34  -----------
% 0.15/0.34  {
% 0.15/0.34  "print":1,
% 0.15/0.34  "print_level": 15,
% 0.15/0.34  "max_size": 0,
% 0.15/0.34  "max_depth": 0,
% 0.15/0.34  "max_length": 0,
% 0.15/0.34  "max_dseconds": 0,
% 0.15/0.34  "equality":0,
% 0.15/0.34  "runs":[
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% 0.15/0.34  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.15/0.34  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.15/0.34  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.15/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.34  
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.15/0.34  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.15/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.15/0.34  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.15/0.34  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.15/0.34  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.15/0.34  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.15/0.34  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.15/0.34  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
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% 0.15/0.34  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
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% 0.15/0.34  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
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% 0.15/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.15/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
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% 0.15/0.34  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
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% 0.15/0.34  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
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% 0.15/0.34  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.15/0.34  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.15/0.34  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
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% 0.15/0.34  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
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% 0.15/0.34  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.15/0.34  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.15/0.34  
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% 0.15/0.34  
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% 0.15/0.34  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.15/0.34  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.15/0.34  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.15/0.34  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.15/0.34  
% 0.15/0.34  ]}
% 0.15/0.34  
% 0.15/0.34  
% 0.15/0.34  **** run 1 fork 0 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.15/0.34  
% 0.15/0.34  **** run 2 fork 1 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.15/0.34  
% 0.15/0.34  **** run 3 fork 2 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.15/0.34  
% 0.15/0.34  **** run 4 fork 3 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.15/0.34  
% 0.15/0.34  **** run 5 fork 4 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.15/0.34  
% 0.15/0.34  **** run 6 fork 5 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.15/0.34  
% 0.15/0.34  **** run 7 fork 6 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.15/0.34  
% 0.15/0.34  **** run 8 fork 7 starts with strategy
% 0.15/0.34  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.15/0.46  
% 0.15/0.46  fork 2: search finished without proof.
% 0.15/0.46  
% 0.15/0.46  
% 0.15/0.46  fork 0: search terminated without proof.
% 0.15/0.47  
% 0.15/0.47  
% 0.15/0.47  fork 6: search terminated without proof.
% 0.15/0.47  
% 0.15/0.47  fork 3: search finished without proof.
% 0.15/0.47  
% 0.15/0.47  
% 0.15/0.47  fork 4: search terminated without proof.
% 0.15/0.47  
% 0.15/0.47  
% 0.15/0.47  fork 7: search terminated without proof.
% 0.15/0.47  
% 0.15/0.47  
% 0.15/0.47  fork 5: search terminated without proof.
% 0.15/0.49  
% 0.15/0.49  **** run 11 fork 2 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.15/0.49  
% 0.15/0.49  **** run 9 fork 0 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.15/0.50  
% 0.15/0.50  **** run 13 fork 4 starts with strategy
% 0.15/0.50  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.15/0.50  
% 0.15/0.50  **** run 12 fork 3 starts with strategy
% 0.15/0.50  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.15/0.50  
% 0.15/0.50  **** run 14 fork 5 starts with strategy
% 0.15/0.50  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.15/0.50  **** run 16 fork 7 starts with strategy
% 0.15/0.50  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.15/0.50  
% 0.15/0.50  **** run 15 fork 6 starts with strategy
% 0.15/0.50  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.15/0.50  
% 0.15/0.52  
% 0.15/0.52  
% 0.15/0.52  result: proof found
% 0.15/0.52  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.52  by run 12 fork 3 strategy {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.15/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.52  
% 0.15/0.52  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.52  fof('con_$sk', plain, (distinct_lines(orthogonal_through_point($sk3,$sk2),orthogonal_through_point($sk3,$sk1)) & ~apart_point_and_line($sk1,orthogonal_through_point($sk3,$sk2))),
% 0.15/0.52    inference(negpush_and_skolemize,[],['con'])).
% 0.15/0.52  fof('con', conjecture, (! [A,B,L] : (~apart_point_and_line(B,orthogonal_through_point(L,A)) => ~distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)))),
% 0.15/0.52    input). 
% 0.15/0.52  fof('$inc_ouo1_$sk', plain, ((unorthogonal_lines(X4,X3) | (unorthogonal_lines(X1,X3) | (apart_point_and_line(X2,X4) | apart_point_and_line(X2,X1)))) | ~distinct_lines(X1,X4)),
% 0.15/0.52    inference(negpush_and_skolemize,[],['$inc_ouo1'])).
% 0.15/0.52  fof('$inc_ouo1', axiom, (! [A,L,M,N] : (distinct_lines(L,M) => (((apart_point_and_line(A,L) | apart_point_and_line(A,M)) | unorthogonal_lines(L,N)) | unorthogonal_lines(M,N)))),
% 0.15/0.52    input). 
% 0.15/0.52  fof('$inc_cup1_$sk', plain, ((convergent_lines(X3,X2) | (apart_point_and_line(X1,X2) | apart_point_and_line(X1,X3))) | ~distinct_lines(X3,X2)),
% 0.15/0.52    inference(negpush_and_skolemize,[],['$inc_cup1'])).
% 0.15/0.52  fof('$inc_cup1', axiom, (! [X,Y,Z] : (distinct_lines(Y,Z) => ((apart_point_and_line(X,Y) | apart_point_and_line(X,Z)) | convergent_lines(Y,Z)))),
% 0.15/0.52    input). 
% 0.15/0.52  fof('$inc_apart5_$sk', plain, ((distinct_lines(X3,X2) | distinct_lines(X1,X2)) | ~distinct_lines(X1,X3)),
% 0.15/0.52    inference(negpush_and_skolemize,[],['$inc_apart5'])).
% 0.15/0.52  fof('$inc_apart5', axiom, (! [X,Y,Z] : (distinct_lines(X,Y) => (distinct_lines(X,Z) | distinct_lines(Y,Z)))),
% 0.15/0.52    input). 
% 0.15/0.52  fof('$inc_apart2_$sk', plain, ~distinct_lines(X1,X1),
% 0.15/0.52    inference(negpush_and_skolemize,[],['$inc_apart2'])).
% 0.15/0.52  fof('$inc_apart2', axiom, (! [X] : ~distinct_lines(X,X)),
% 0.15/0.52    input). 
% 0.15/0.52  fof('$inc_ooc2_$sk', plain, ~apart_point_and_line(X2,orthogonal_through_point(X1,X2)),
% 0.15/0.52    inference(negpush_and_skolemize,[],['$inc_ooc2'])).
% 0.15/0.52  fof('$inc_ooc2', axiom, (! [A,L] : ~apart_point_and_line(A,orthogonal_through_point(L,A))),
% 0.15/0.52    input). 
% 0.15/0.52  fof('$inc_apart6_$sk', plain, ((convergent_lines(X3,X2) | convergent_lines(X1,X2)) | ~convergent_lines(X1,X3)),
% 0.15/0.52    inference(negpush_and_skolemize,[],['$inc_apart6'])).
% 0.15/0.52  fof('$inc_apart6', axiom, (! [X,Y,Z] : (convergent_lines(X,Y) => (convergent_lines(X,Z) | convergent_lines(Y,Z)))),
% 0.15/0.52    input). 
% 0.15/0.52  fof('$inc_ceq3_$sk', plain, (distinct_lines(X2,X1) | ~convergent_lines(X2,X1)),
% 0.15/0.52    inference(negpush_and_skolemize,[],['$inc_ceq3'])).
% 0.15/0.52  fof('$inc_ceq3', axiom, (! [X,Y] : (convergent_lines(X,Y) => distinct_lines(X,Y))),
% 0.15/0.52    input). 
% 0.15/0.52  fof('$inc_apart3_$sk', plain, ~convergent_lines(X1,X1),
% 0.15/0.52    inference(negpush_and_skolemize,[],['$inc_apart3'])).
% 0.15/0.52  fof('$inc_apart3', axiom, (! [X] : ~convergent_lines(X,X)),
% 0.15/0.52    input). 
% 0.15/0.52  fof('$inc_ooc1_$sk', plain, ~unorthogonal_lines(orthogonal_through_point(X2,X1),X2),
% 0.15/0.52    inference(negpush_and_skolemize,[],['$inc_ooc1'])).
% 0.15/0.52  fof('$inc_ooc1', axiom, (! [A,L] : ~unorthogonal_lines(orthogonal_through_point(L,A),L)),
% 0.15/0.52    input). 
% 0.15/0.52  cnf('1', plain, (~apart_point_and_line($sk1,orthogonal_through_point($sk3,$sk2))),
% 0.15/0.52    inference(cnf_transformation,[],['con_$sk'])).
% 0.15/0.52  cnf('2', plain, (~distinct_lines(X,Y) | apart_point_and_line(Z,Y) | apart_point_and_line(Z,X) | unorthogonal_lines(Y,U) | unorthogonal_lines(X,U)),
% 0.15/0.52    inference(cnf_transformation,[],['$inc_ouo1_$sk'])).
% 0.15/0.52  cnf('3', plain, (~distinct_lines(orthogonal_through_point($sk3,$sk2),X) | unorthogonal_lines(orthogonal_through_point($sk3,$sk2),Y) | apart_point_and_line($sk1,X) | unorthogonal_lines(X,Y)),
% 0.15/0.52    inference(resolution,[],['1','2'])).
% 0.15/0.52  cnf('4', plain, (~distinct_lines(X,Y) | apart_point_and_line(Z,Y) | apart_point_and_line(Z,X) | convergent_lines(X,Y)),
% 0.15/0.52    inference(cnf_transformation,[],['$inc_cup1_$sk'])).
% 0.15/0.52  cnf('5', plain, (~distinct_lines(orthogonal_through_point($sk3,$sk2),X) | convergent_lines(orthogonal_through_point($sk3,$sk2),X) | apart_point_and_line($sk1,X)),
% 0.15/0.52    inference(resolution,[],['1','4'])).
% 0.15/0.52  cnf('6', plain, (distinct_lines(orthogonal_through_point($sk3,$sk2),orthogonal_through_point($sk3,$sk1))),
% 0.15/0.52    inference(cnf_transformation,[],['con_$sk'])).
% 0.15/0.52  cnf('7', plain, (~distinct_lines(X,Y) | distinct_lines(Y,Z) | distinct_lines(X,Z)),
% 0.15/0.52    inference(cnf_transformation,[],['$inc_apart5_$sk'])).
% 0.15/0.52  cnf('8', plain, (distinct_lines(orthogonal_through_point($sk3,$sk1),X) | distinct_lines(orthogonal_through_point($sk3,$sk2),X)),
% 0.15/0.52    inference(resolution,[],['6','7'])).
% 0.15/0.52  cnf('9', plain, (distinct_lines(orthogonal_through_point($sk3,$sk1),X) | distinct_lines(orthogonal_through_point($sk3,$sk2),Y) | distinct_lines(Y,X)),
% 0.15/0.52    inference(resolution,[],['8','7'])).
% 0.15/0.52  cnf('10', plain, (~distinct_lines(X,X)),
% 0.15/0.52    inference(cnf_transformation,[],['$inc_apart2_$sk'])).
% 0.15/0.52  cnf('11', plain, (distinct_lines(orthogonal_through_point($sk3,$sk2),X) | distinct_lines(X,orthogonal_through_point($sk3,$sk1))),
% 0.15/0.52    inference(resolution,[],['9','10'])).
% 0.15/0.52  cnf('12', plain, (distinct_lines(orthogonal_through_point($sk3,$sk2),X) | distinct_lines(Y,orthogonal_through_point($sk3,$sk1)) | distinct_lines(Y,X)),
% 0.15/0.52    inference(resolution,[],['11','7'])).
% 0.15/0.52  cnf('13', plain, (distinct_lines(X,orthogonal_through_point($sk3,$sk1)) | distinct_lines(X,orthogonal_through_point($sk3,$sk2))),
% 0.15/0.52    inference(resolution,[],['12','10'])).
% 0.15/0.52  cnf('14', plain, (~apart_point_and_line(X,orthogonal_through_point(Y,X))),
% 0.15/0.52    inference(cnf_transformation,[],['$inc_ooc2_$sk'])).
% 0.15/0.52  cnf('15', plain, (convergent_lines(orthogonal_through_point($sk3,$sk2),orthogonal_through_point($sk3,$sk1))),
% 0.15/0.52    inference(resolution,[then_simplify],['5','13','14','10'])).
% 0.15/0.52  cnf('16', plain, (~convergent_lines(X,Y) | convergent_lines(Y,Z) | convergent_lines(X,Z)),
% 0.15/0.52    inference(cnf_transformation,[],['$inc_apart6_$sk'])).
% 0.15/0.52  cnf('17', plain, (convergent_lines(orthogonal_through_point($sk3,$sk1),X) | convergent_lines(orthogonal_through_point($sk3,$sk2),X)),
% 0.15/0.52    inference(resolution,[],['15','16'])).
% 0.15/0.52  cnf('18', plain, (~convergent_lines(X,Y) | distinct_lines(X,Y)),
% 0.15/0.52    inference(cnf_transformation,[],['$inc_ceq3_$sk'])).
% 0.15/0.52  cnf('19', plain, (distinct_lines(orthogonal_through_point($sk3,$sk1),X) | convergent_lines(orthogonal_through_point($sk3,$sk2),X)),
% 0.15/0.52    inference(resolution,[],['17','18'])).
% 0.15/0.52  cnf('20', plain, (distinct_lines(orthogonal_through_point($sk3,$sk1),X) | convergent_lines(orthogonal_through_point($sk3,$sk2),Y) | distinct_lines(Y,X)),
% 0.15/0.52    inference(resolution,[],['19','7'])).
% 0.15/0.52  cnf('21', plain, (convergent_lines(orthogonal_through_point($sk3,$sk2),X) | distinct_lines(X,orthogonal_through_point($sk3,$sk1))),
% 0.15/0.52    inference(resolution,[],['20','10'])).
% 0.15/0.52  cnf('22', plain, (~convergent_lines(X,X)),
% 0.15/0.52    inference(cnf_transformation,[],['$inc_apart3_$sk'])).
% 0.15/0.52  cnf('23', plain, (unorthogonal_lines(orthogonal_through_point($sk3,$sk1),X) | unorthogonal_lines(orthogonal_through_point($sk3,$sk2),X)),
% 0.15/0.52    inference(resolution,[then_simplify],['3','21','14','22'])).
% 0.15/0.52  cnf('24', plain, (~unorthogonal_lines(orthogonal_through_point(X,Y),X)),
% 0.15/0.52    inference(cnf_transformation,[],['$inc_ooc1_$sk'])).
% 0.15/0.52  cnf('25', plain, (unorthogonal_lines(orthogonal_through_point($sk3,$sk2),$sk3)),
% 0.15/0.52    inference(resolution,[],['23','24'])).
% 0.15/0.52  cnf('26', plain, ($false),
% 0.15/0.52    inference(resolution,[],['25','24'])).
% 0.15/0.52  
% 0.15/0.52  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.15/0.52  
% 0.15/0.52  run 12 fork 3 statistics:
% 0.15/0.52  ----------------------------------
% 0.15/0.52  this run seconds: 0.006138
% 0.15/0.52  total seconds: 0.178146
% 0.15/0.52  stat_given_used: 37
% 0.15/0.52  stat_given_used_at_endgame: 0
% 0.15/0.52  stat_given_candidates:   46
% 0.15/0.52  stat_given_candidates_at_endgame: 0
% 0.15/0.52  stat_given_candidates_h: 0
% 0.15/0.52  stat_binres_derived_cl:   211
% 0.15/0.52  stat_binres_derived_cl_h: 0
% 0.15/0.52  stat_factor_derived_cl: 10
% 0.15/0.52  stat_para_derived_cl: 0
% 0.15/0.52  stat_tautologies_discarded: 7
% 0.15/0.52  stat_forward_subsumed: 34
% 0.15/0.52  stat_derived_cut: 21
% 0.15/0.52  stat_derived_rewritten: 0
% 0.15/0.52  stat_weight_discarded_building: 0
% 0.15/0.52  stat_weight_discarded_cl: 0
% 0.15/0.52  stat_internlimit_discarded_cl: 0
% 0.15/0.52  stat_simplified:  0 simplified 0 derived 0 given
% 0.15/0.52  stat_kept_cl: 179
% 0.15/0.52  stat_built_cl: 303
% 0.15/0.52  stat_hyperres_partial_cl: 0
% 0.15/0.52  stat_made_rewriters: 0
% 0.15/0.52  stat_backward_subsumed: 0
% 0.15/0.52  stat_propagated_subsumed: 0
% 0.15/0.52  stat_clsubs_attempted:                       139
% 0.15/0.52  stat_clsubs_fact_groundunit_found:             0
% 0.15/0.52  stat_clsubs_rule_groundunit_found:             2
% 0.15/0.52  stat_clsubs_top_meta_attempted:               1702
% 0.15/0.52  stat_clsubs_top_meta_failed:                  1563
% 0.15/0.52  stat_clsubs_top_meta_nonpref_attempted:                1702
% 0.15/0.52  stat_clsubs_top_meta_nonpref_succeeded:                 426
% 0.15/0.52  stat_clsubs_top_meta_pref_attempted:                    426
% 0.15/0.52  stat_clsubs_top_meta_pref1_succeeded:                   166
% 0.15/0.52  stat_clsubs_top_meta_pref2_succeeded:                   139
% 0.15/0.52  stat_clsubs_top_meta_pref3_succeeded:                   139
% 0.15/0.52  stat_clsubs_top_meta_pref_succeeded:                    139
% 0.15/0.52  stat_clsubs_meta_attempted:                  427
% 0.15/0.52  stat_clsubs_meta_failed:                     195
% 0.15/0.52  stat_clsubs_predsymbs_attempted:               0
% 0.15/0.52  stat_clsubs_unit_attempted:                   34
% 0.15/0.52  stat_clsubs_full_attempted:                  105
% 0.15/0.52  stat_forwardsubs_attempted:                  213
% 0.15/0.52  stat_lit_hash_added:                     87
% 0.15/0.52  stat_lit_hash_computed:                1638
% 0.15/0.52  stat_lit_hash_match_found:               45
% 0.15/0.52  stat_lit_hash_match_miss:              2203
% 0.15/0.52  stat_lit_hash_cut_ok:                     9
% 0.15/0.52  stat_lit_strong_cut_ok:                  33
% 0.15/0.52  stat_lit_hash_subsume_ok:                34
% 0.15/0.52  clqueue els 10000000 used 1
% 0.15/0.52  clactive els 10000000 used 63
% 0.15/0.52  clactivesubsume els 10000000 used 337
% 0.15/0.52  queue_termbuf els 200000000 used 11798
% 0.15/0.52  hyper_termbuf els 100000000 used 1
% 0.15/0.52  active_termbuf els 100000000 used 2228
% 0.15/0.52  varstack els 5000 last used 1
% 0.15/0.52  given_termbuf els 10000000 last used 1
% 0.15/0.52  simplified_termbuf els 10000000 last used 1
% 0.15/0.52  derived_termbuf els 10000000 last used 7
% 0.15/0.52  wr_mallocs: 450
% 0.15/0.52  wr_callocs: 21
% 0.15/0.52  wr_reallocs: 38
% 0.15/0.52  wr_frees: 2
% 0.15/0.52  wr_malloc_bytes: 4162593124
% 0.15/0.52  wr_calloc_bytes: 112065536
% 0.15/0.52  wr_realloc_bytes: 5504
% 0.15/0.52  wr_realloc_freebytes: 0
% 0.15/0.52  ----------------------------------
%------------------------------------------------------------------------------