TSTP Solution File: REL015+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : REL015+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n014.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 : Thu Aug 31 13:39:57 EDT 2023

% Result   : Theorem 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : REL015+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : gkc %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 19:11:47 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                    14
% 0.20/0.39  in_rule_clause_count:               14
% 0.20/0.39  in_fact_clause_count:                0
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:              1
% 0.20/0.39  in_unit_clause_count:               14
% 0.20/0.39  in_horn_clause_count:               14
% 0.20/0.39  in_pos_clause_count:                13
% 0.20/0.39  in_neg_clause_count:                 1
% 0.20/0.39  in_poseq_clause_count:              13
% 0.20/0.39  in_negeq_clause_count:               1
% 0.20/0.39  in_unitposeq_clause_count:          13
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             1
% 0.20/0.39  in_min_depth:              2
% 0.20/0.39  in_max_depth:              5
% 0.20/0.39  in_min_size:               5
% 0.20/0.39  in_max_size:              14
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               3
% 0.20/0.39  in_extaxiom_count:                13
% 0.20/0.39  in_axiom_count:                    0
% 0.20/0.39  in_assumption_count:               0
% 0.20/0.39  in_goal_count:                     1
% 0.20/0.39  in_neg_goal_count:                 1
% 0.20/0.39  in_pos_goal_count:                 0
% 0.20/0.39  in_posunit_goal_count:             0
% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
% 0.20/0.39  "print":1,
% 0.20/0.39  "print_level": 15,
% 0.20/0.39  "max_size": 0,
% 0.20/0.39  "max_depth": 0,
% 0.20/0.39  "max_length": 0,
% 0.20/0.39  "max_dseconds": 0,
% 0.20/0.39  "runs":[
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
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% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
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% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.20/0.39  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":2},
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% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":5},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.20/0.39  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.20/0.39  
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1},
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% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
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% 0.20/0.39  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.20/0.39  {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 1},
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% 0.20/0.39  {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.20/0.39  {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":20},
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% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.20/0.40  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds": 1250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1} 
% 0.20/0.40  
% 0.20/0.40  ]}
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  **** run 1 fork 0 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.40  
% 0.20/0.40  **** run 2 fork 1 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 3 fork 2 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.40  
% 0.20/0.40  **** run 4 fork 3 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.40  
% 0.20/0.40  **** run 5 fork 4 starts with strategy
% 0.20/0.40  
% 0.20/0.40  **** run 6 fork 5 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.20/0.40  
% 0.20/0.40  **** run 7 fork 6 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.41  
% 0.20/0.41  **** run 8 fork 7 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 2: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 3: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 4: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 1: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 0: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  **** run 11 fork 2 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 7: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  **** run 12 fork 3 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.54  
% 0.20/0.54  **** run 13 fork 4 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.55  
% 0.20/0.55  **** run 10 fork 1 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.56  
% 0.20/0.56  **** run 9 fork 0 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.57  
% 0.20/0.57  **** run 16 fork 7 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.60  
% 0.20/0.60  
% 0.20/0.60  result: proof found
% 0.20/0.60  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.60  by run 10 fork 1 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.60  
% 0.20/0.60  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.60  fof('$inc_composition_identity_$sk', plain, (composition(X1,one) = X1),
% 0.20/0.60    inference(negpush_and_skolemize,[],['$inc_composition_identity'])).
% 0.20/0.60  fof('$inc_composition_identity', axiom, (! [X0] : (composition(X0,one) = X0)),
% 0.20/0.60    input). 
% 0.20/0.60  fof('$inc_converse_idempotence_$sk', plain, (converse(converse(X1)) = X1),
% 0.20/0.60    inference(negpush_and_skolemize,[],['$inc_converse_idempotence'])).
% 0.20/0.60  fof('$inc_converse_idempotence', axiom, (! [X0] : (converse(converse(X0)) = X0)),
% 0.20/0.60    input). 
% 0.20/0.60  fof('$inc_converse_multiplicativity_$sk', plain, (converse(composition(X2,X1)) = composition(converse(X1),converse(X2))),
% 0.20/0.60    inference(negpush_and_skolemize,[],['$inc_converse_multiplicativity'])).
% 0.20/0.60  fof('$inc_converse_multiplicativity', axiom, (! [X0,X1] : (converse(composition(X0,X1)) = composition(converse(X1),converse(X0)))),
% 0.20/0.60    input). 
% 0.20/0.60  fof('$inc_converse_cancellativity_$sk', plain, (join(composition(converse(X2),complement(composition(X2,X1))),complement(X1)) = complement(X1)),
% 0.20/0.60    inference(negpush_and_skolemize,[],['$inc_converse_cancellativity'])).
% 0.20/0.60  fof('$inc_converse_cancellativity', axiom, (! [X0,X1] : (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1))),
% 0.20/0.60    input). 
% 0.20/0.60  fof('$inc_def_top_$sk', plain, (top = join(X1,complement(X1))),
% 0.20/0.60    inference(negpush_and_skolemize,[],['$inc_def_top'])).
% 0.20/0.60  fof('$inc_def_top', axiom, (! [X0] : (top = join(X0,complement(X0)))),
% 0.20/0.60    input). 
% 0.20/0.60  fof('$inc_maddux2_join_associativity_$sk', plain, (join(X3,join(X1,X2)) = join(join(X3,X1),X2)),
% 0.20/0.60    inference(negpush_and_skolemize,[],['$inc_maddux2_join_associativity'])).
% 0.20/0.60  fof('$inc_maddux2_join_associativity', axiom, (! [X0,X1,X2] : (join(X0,join(X1,X2)) = join(join(X0,X1),X2))),
% 0.20/0.60    input). 
% 0.20/0.60  fof('$inc_maddux1_join_commutativity_$sk', plain, (join(X2,X1) = join(X1,X2)),
% 0.20/0.60    inference(negpush_and_skolemize,[],['$inc_maddux1_join_commutativity'])).
% 0.20/0.60  fof('$inc_maddux1_join_commutativity', axiom, (! [X0,X1] : (join(X0,X1) = join(X1,X0))),
% 0.20/0.60    input). 
% 0.20/0.60  fof('$inc_composition_distributivity_$sk', plain, (composition(join(X3,X2),X1) = join(composition(X3,X1),composition(X2,X1))),
% 0.20/0.60    inference(negpush_and_skolemize,[],['$inc_composition_distributivity'])).
% 0.20/0.60  fof('$inc_composition_distributivity', axiom, (! [X0,X1,X2] : (composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)))),
% 0.20/0.60    input). 
% 0.20/0.60  fof('goals_$sk', plain, ~(composition(top,top) = top),
% 0.20/0.60    inference(negpush_and_skolemize,[],['goals'])).
% 0.20/0.60  fof('goals', conjecture, (composition(top,top) = top),
% 0.20/0.60    input). 
% 0.20/0.60  cnf('1', plain, (composition(X,one) = X),
% 0.20/0.60    inference(cnf_transformation,[],['$inc_composition_identity_$sk'])).
% 0.20/0.60  cnf('2', plain, (converse(converse(X)) = X),
% 0.20/0.60    inference(cnf_transformation,[],['$inc_converse_idempotence_$sk'])).
% 0.20/0.60  cnf('3', plain, (converse(composition(X,Y)) = composition(converse(Y),converse(X))),
% 0.20/0.60    inference(cnf_transformation,[],['$inc_converse_multiplicativity_$sk'])).
% 0.20/0.60  cnf('4', plain, (converse(composition(converse(X),Y)) = composition(converse(Y),X)),
% 0.20/0.60    inference(paramodulation,[],['2','3'])).
% 0.20/0.60  cnf('5', plain, (converse(converse(X3)) = composition(converse(one),X3)),
% 0.20/0.60    inference(paramodulation,[],['1','4'])).
% 0.20/0.60  cnf('6', plain, (X = composition(converse(one),X)),
% 0.20/0.60    inference(simplify,[],['5','2'])).
% 0.20/0.60  cnf('7', plain, (join(composition(converse(X),complement(composition(X,Y))),complement(Y)) = complement(Y)),
% 0.20/0.60    inference(cnf_transformation,[],['$inc_converse_cancellativity_$sk'])).
% 0.20/0.60  cnf('8', plain, (join(complement(composition(one,X3)),complement(X3)) = complement(X3)),
% 0.20/0.60    inference(paramodulation,[],['6','7'])).
% 0.20/0.60  cnf('9', plain, (one = converse(one)),
% 0.20/0.60    inference(paramodulation,[],['6','1'])).
% 0.20/0.60  cnf('10', plain, (X = composition(one,X)),
% 0.20/0.60    inference(paramodulation,[],['9','6'])).
% 0.20/0.60  cnf('11', plain, (join(complement(X),complement(X)) = complement(X)),
% 0.20/0.60    inference(simplify,[],['8','10'])).
% 0.20/0.60  cnf('12', plain, (top = join(X,complement(X))),
% 0.20/0.60    inference(cnf_transformation,[],['$inc_def_top_$sk'])).
% 0.20/0.60  cnf('13', plain, (join(X,join(Y,Z)) = join(join(X,Y),Z)),
% 0.20/0.60    inference(cnf_transformation,[],['$inc_maddux2_join_associativity_$sk'])).
% 0.20/0.60  cnf('14', plain, (join(X,join(complement(X),Y)) = join(top,Y)),
% 0.20/0.60    inference(paramodulation,[],['12','13'])).
% 0.20/0.60  cnf('15', plain, (join(X,Y) = join(Y,X)),
% 0.20/0.60    inference(cnf_transformation,[],['$inc_maddux1_join_commutativity_$sk'])).
% 0.20/0.60  cnf('16', plain, (join(join(complement(X),Y),X) = join(top,Y)),
% 0.20/0.60    inference(paramodulation,[],['14','15'])).
% 0.20/0.60  cnf('17', plain, (join(complement(X3),X3) = join(top,complement(X3))),
% 0.20/0.60    inference(paramodulation,[],['11','16'])).
% 0.20/0.60  cnf('18', plain, (top = join(complement(X),X)),
% 0.20/0.60    inference(paramodulation,[],['12','15'])).
% 0.20/0.60  cnf('19', plain, (top = join(top,complement(X))),
% 0.20/0.60    inference(simplify,[],['17','18'])).
% 0.20/0.60  cnf('20', plain, (join(X,join(Y,complement(join(X,Y)))) = top),
% 0.20/0.60    inference(paramodulation,[],['12','13'])).
% 0.20/0.60  cnf('21', plain, (join(X,top) = top),
% 0.20/0.60    inference(paramodulation,[],['19','20'])).
% 0.20/0.60  cnf('22', plain, (join(join(X,complement(join(Y,X))),Y) = top),
% 0.20/0.60    inference(paramodulation,[],['20','15'])).
% 0.20/0.60  cnf('23', plain, (join(top,X) = top),
% 0.20/0.60    inference(paramodulation,[],['19','22'])).
% 0.20/0.60  cnf('24', plain, (composition(join(X,Y),Z) = join(composition(X,Z),composition(Y,Z))),
% 0.20/0.60    inference(cnf_transformation,[],['$inc_composition_distributivity_$sk'])).
% 0.20/0.60  cnf('25', plain, (composition(join(one,X),Y) = join(Y,composition(X,Y))),
% 0.20/0.60    inference(paramodulation,[],['10','24'])).
% 0.20/0.60  cnf('26', plain, (composition(join(one,X),top) = top),
% 0.20/0.60    inference(paramodulation,[],['23','25'])).
% 0.20/0.60  cnf('27', plain, (composition(top,top) != top),
% 0.20/0.60    inference(cnf_transformation,[],['goals_$sk'])).
% 0.20/0.60  cnf('28', plain, ($false),
% 0.20/0.60    inference(paramodulation,[then_simplify],['21','26','27'])).
% 0.20/0.60  
% 0.20/0.60  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.60  
% 0.20/0.60  run 10 fork 1 statistics:
% 0.20/0.60  ----------------------------------
% 0.20/0.60  this run seconds: 0.026294
% 0.20/0.60  total seconds: 0.190628
% 0.20/0.60  stat_given_used: 118
% 0.20/0.60  stat_given_used_at_endgame: 0
% 0.20/0.60  stat_given_candidates:   444
% 0.20/0.60  stat_given_candidates_at_endgame: 0
% 0.20/0.60  stat_given_candidates_h: 0
% 0.20/0.60  stat_binres_derived_cl:   0
% 0.20/0.60  stat_binres_derived_cl_h: 0
% 0.20/0.60  stat_factor_derived_cl: 0
% 0.20/0.60  stat_para_derived_cl: 3806
% 0.20/0.60  stat_tautologies_discarded: 0
% 0.20/0.60  stat_forward_subsumed: 424
% 0.20/0.60  stat_derived_cut: 1
% 0.20/0.60  stat_derived_rewritten: 29
% 0.20/0.60  stat_weight_discarded_building: 0
% 0.20/0.60  stat_weight_discarded_cl: 0
% 0.20/0.60  stat_internlimit_discarded_cl: 0
% 0.20/0.60  stat_simplified:  29 simplified 0 derived 0 given
% 0.20/0.60  stat_kept_cl: 3107
% 0.20/0.60  stat_built_cl: 3372
% 0.20/0.60  stat_hyperres_partial_cl: 0
% 0.20/0.60  stat_made_rewriters: 111
% 0.20/0.60  stat_backward_subsumed: 0
% 0.20/0.60  stat_propagated_subsumed: 0
% 0.20/0.60  stat_clsubs_attempted:                       875
% 0.20/0.60  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.60  stat_clsubs_rule_groundunit_found:             1
% 0.20/0.60  stat_clsubs_top_meta_attempted:               5980
% 0.20/0.60  stat_clsubs_top_meta_failed:                  5105
% 0.20/0.60  stat_clsubs_top_meta_nonpref_attempted:                5980
% 0.20/0.60  stat_clsubs_top_meta_nonpref_succeeded:                2213
% 0.20/0.60  stat_clsubs_top_meta_pref_attempted:                   2213
% 0.20/0.60  stat_clsubs_top_meta_pref1_succeeded:                  2213
% 0.20/0.60  stat_clsubs_top_meta_pref2_succeeded:                  1026
% 0.20/0.60  stat_clsubs_top_meta_pref3_succeeded:                   875
% 0.20/0.60  stat_clsubs_top_meta_pref_succeeded:                    875
% 0.20/0.60  stat_clsubs_meta_attempted:                  875
% 0.20/0.60  stat_clsubs_meta_failed:                      12
% 0.20/0.60  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.60  stat_clsubs_unit_attempted:                  875
% 0.20/0.60  stat_clsubs_full_attempted:                    0
% 0.20/0.60  stat_forwardsubs_attempted:                 3532
% 0.20/0.60  stat_lit_hash_added:                   3141
% 0.20/0.60  stat_lit_hash_computed:                6836
% 0.20/0.60  stat_lit_hash_match_found:              431
% 0.20/0.60  stat_lit_hash_match_miss:              6401
% 0.20/0.60  stat_lit_hash_cut_ok:                     1
% 0.20/0.60  stat_lit_strong_cut_ok:                   0
% 0.20/0.60  stat_lit_hash_subsume_ok:               424
% 0.20/0.60  clqueue els 10000000 used 1
% 0.20/0.60  clactive els 10000000 used 119
% 0.20/0.60  clactivesubsume els 10000000 used 589
% 0.20/0.60  queue_termbuf els 200000000 used 212940
% 0.20/0.60  hyper_termbuf els 100000000 used 1
% 0.20/0.60  active_termbuf els 100000000 used 4513
% 0.20/0.60  varstack els 5000 last used 1
% 0.20/0.60  given_termbuf els 10000000 last used 1
% 0.20/0.60  simplified_termbuf els 10000000 last used 1
% 0.20/0.60  derived_termbuf els 10000000 last used 10
% 0.20/0.60  wr_mallocs: 13079
% 0.20/0.60  wr_callocs: 21
% 0.20/0.60  wr_reallocs: 417
% 0.20/0.60  wr_frees: 2
% 0.20/0.60  wr_malloc_bytes: 4163042916
% 0.20/0.60  wr_calloc_bytes: 112065536
% 0.20/0.60  wr_realloc_bytes: 80408
% 0.20/0.60  wr_realloc_freebytes: 0
% 0.20/0.60  ----------------------------------
%------------------------------------------------------------------------------