0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : nanocop_casc.sh %s %d
0.02/0.22	% Computer   : n118.star.cs.uiowa.edu
0.02/0.22	% Model      : x86_64 x86_64
0.02/0.22	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.22	% Memory     : 32218.625MB
0.02/0.22	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.22	% CPULimit   : 300
0.02/0.22	% DateTime   : Sat Jul 14 04:22:55 CDT 2018
0.02/0.23	% CPUTime    : 
50.33/50.09	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
50.33/50.09	% SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
50.33/50.09	
50.33/50.09	- the following list represents a non-clausal connection proof
50.33/50.09	  (a tree in which each node is labelled with a nested clause)
50.33/50.09	- I^V is a skolem term f_I(V) for variable list V
50.33/50.09	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
50.33/50.09	  I is the unique index of C, K distinguishes different copies
50.33/50.09	  of C, and V is the list of (instantiated) variables in C
50.33/50.09	
50.33/50.09	[(385 ^ 0) ^ [] : [one_to_one(identity_relation(383 ^ []))], [(299 ^ 1) ^ [identity_relation(383 ^ [])] : [-(one_to_one(identity_relation(383 ^ []))), 306 ^ 1 : [(307 ^ 1) ^ [] : [310 ^ 1 : [(313 ^ 1) ^ [] : [-(apply(identity_relation(383 ^ []), 308 ^ [identity_relation(383 ^ [])]) = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]))], (315 ^ 1) ^ [] : [-(in(308 ^ [identity_relation(383 ^ [])], relation_dom(identity_relation(383 ^ []))))], (317 ^ 1) ^ [] : [309 ^ [identity_relation(383 ^ [])] = 308 ^ [identity_relation(383 ^ [])]], (311 ^ 1) ^ [] : [-(in(309 ^ [identity_relation(383 ^ [])], relation_dom(identity_relation(383 ^ []))))]]]], relation(identity_relation(383 ^ [])), function(identity_relation(383 ^ []))], [(239 ^ 6) ^ [identity_relation(383 ^ []), relation_dom(identity_relation(383 ^ []))] : [in(309 ^ [identity_relation(383 ^ [])], relation_dom(identity_relation(383 ^ []))), 246 ^ 6 : [(260 ^ 6) ^ [] : [263 ^ 6 : [(266 ^ 6) ^ [309 ^ [identity_relation(383 ^ [])]] : [-(309 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]))]], identity_relation(383 ^ []) = identity_relation(relation_dom(identity_relation(383 ^ [])))]], function(identity_relation(383 ^ [])), relation(identity_relation(383 ^ []))], [(10 ^ 11) ^ [apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), 309 ^ [identity_relation(383 ^ [])], 308 ^ [identity_relation(383 ^ [])]] : [309 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), -(308 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])])), 308 ^ [identity_relation(383 ^ [])] = 309 ^ [identity_relation(383 ^ [])]], [(10 ^ 12) ^ [apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), 308 ^ [identity_relation(383 ^ [])], 309 ^ [identity_relation(383 ^ [])]] : [308 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), -(309 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])])), 309 ^ [identity_relation(383 ^ [])] = 308 ^ [identity_relation(383 ^ [])]], [(10 ^ 13) ^ [308 ^ [identity_relation(383 ^ [])], apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), 309 ^ [identity_relation(383 ^ [])]] : [309 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), -(309 ^ [identity_relation(383 ^ [])] = 308 ^ [identity_relation(383 ^ [])]), apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]) = 308 ^ [identity_relation(383 ^ [])]], [(317 ^ 14) ^ [] : [309 ^ [identity_relation(383 ^ [])] = 308 ^ [identity_relation(383 ^ [])]]], [(4 ^ 14) ^ [apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), 308 ^ [identity_relation(383 ^ [])]] : [-(apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]) = 308 ^ [identity_relation(383 ^ [])]), 308 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])])], [_44375 ^ _44376 : [-(308 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]))]]]], [(10 ^ 13) ^ [308 ^ [identity_relation(383 ^ [])], apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), 309 ^ [identity_relation(383 ^ [])]] : [-(309 ^ [identity_relation(383 ^ [])] = 308 ^ [identity_relation(383 ^ [])]), 309 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]) = 308 ^ [identity_relation(383 ^ [])]], [_44511 ^ _44512 : [-(309 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]))]], [(4 ^ 14) ^ [apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), 308 ^ [identity_relation(383 ^ [])]] : [-(apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]) = 308 ^ [identity_relation(383 ^ [])]), 308 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])])], [_44776 ^ _44777 : [-(308 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]))]]]]], [(10 ^ 12) ^ [309 ^ [identity_relation(383 ^ [])], apply(identity_relation(383 ^ []), 308 ^ [identity_relation(383 ^ [])]), 308 ^ [identity_relation(383 ^ [])]] : [-(308 ^ [identity_relation(383 ^ [])] = 309 ^ [identity_relation(383 ^ [])]), 308 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 308 ^ [identity_relation(383 ^ [])]), apply(identity_relation(383 ^ []), 308 ^ [identity_relation(383 ^ [])]) = 309 ^ [identity_relation(383 ^ [])]], [(266 ^ 13) ^ [308 ^ [identity_relation(383 ^ [])]] : [-(308 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 308 ^ [identity_relation(383 ^ [])])), in(308 ^ [identity_relation(383 ^ [])], relation_dom(identity_relation(383 ^ [])))], [(315 ^ 14) ^ [] : [-(in(308 ^ [identity_relation(383 ^ [])], relation_dom(identity_relation(383 ^ []))))]]], [(10 ^ 13) ^ [309 ^ [identity_relation(383 ^ [])], apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), apply(identity_relation(383 ^ []), 308 ^ [identity_relation(383 ^ [])])] : [-(apply(identity_relation(383 ^ []), 308 ^ [identity_relation(383 ^ [])]) = 309 ^ [identity_relation(383 ^ [])]), apply(identity_relation(383 ^ []), 308 ^ [identity_relation(383 ^ [])]) = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]) = 309 ^ [identity_relation(383 ^ [])]], [(313 ^ 14) ^ [] : [-(apply(identity_relation(383 ^ []), 308 ^ [identity_relation(383 ^ [])]) = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]))]], [(4 ^ 14) ^ [apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]), 309 ^ [identity_relation(383 ^ [])]] : [-(apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]) = 309 ^ [identity_relation(383 ^ [])]), 309 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])])], [_46749 ^ _46750 : [-(309 ^ [identity_relation(383 ^ [])] = apply(identity_relation(383 ^ []), 309 ^ [identity_relation(383 ^ [])]))]]]]]], [(134 ^ 9) ^ [relation_dom(identity_relation(383 ^ [])), 383 ^ []] : [-(identity_relation(383 ^ []) = identity_relation(relation_dom(identity_relation(383 ^ [])))), 383 ^ [] = relation_dom(identity_relation(383 ^ []))], [(10 ^ 10) ^ [relation_dom(identity_relation(383 ^ [])), relation_dom(identity_relation(383 ^ [])), 383 ^ []] : [-(383 ^ [] = relation_dom(identity_relation(383 ^ []))), 383 ^ [] = relation_dom(identity_relation(383 ^ [])), relation_dom(identity_relation(383 ^ [])) = relation_dom(identity_relation(383 ^ []))], [(239 ^ 11) ^ [identity_relation(383 ^ []), 383 ^ []] : [-(383 ^ [] = relation_dom(identity_relation(383 ^ []))), 246 ^ 11 : [(260 ^ 11) ^ [] : [263 ^ 11 : [(264 ^ 11) ^ [] : []], identity_relation(383 ^ []) = identity_relation(383 ^ [])]], function(identity_relation(383 ^ [])), relation(identity_relation(383 ^ []))], [(2 ^ 14) ^ [identity_relation(383 ^ [])] : [-(identity_relation(383 ^ []) = identity_relation(383 ^ []))]], [(297 ^ 12) ^ [383 ^ []] : [-(function(identity_relation(383 ^ [])))]], [(151 ^ 12) ^ [383 ^ []] : [-(relation(identity_relation(383 ^ [])))]]], [(122 ^ 11) ^ [identity_relation(383 ^ []), identity_relation(383 ^ [])] : [-(relation_dom(identity_relation(383 ^ [])) = relation_dom(identity_relation(383 ^ []))), identity_relation(383 ^ []) = identity_relation(383 ^ [])], [(2 ^ 12) ^ [identity_relation(383 ^ [])] : [-(identity_relation(383 ^ []) = identity_relation(383 ^ []))]]]]], [(297 ^ 7) ^ [383 ^ []] : [-(function(identity_relation(383 ^ [])))]], [(151 ^ 7) ^ [383 ^ []] : [-(relation(identity_relation(383 ^ [])))]]], [(151 ^ 2) ^ [383 ^ []] : [-(relation(identity_relation(383 ^ [])))]], [(297 ^ 2) ^ [383 ^ []] : [-(function(identity_relation(383 ^ [])))]]]]
50.33/50.10	
50.33/50.10	% SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
50.33/50.10	EOF