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
0.02/0.23	% Computer   : n145.star.cs.uiowa.edu
0.02/0.23	% Model      : x86_64 x86_64
0.02/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.23	% Memory     : 32218.625MB
0.02/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.23	% CPULimit   : 300
0.02/0.23	% DateTime   : Sat Jul 14 04:20:26 CDT 2018
0.02/0.23	% CPUTime    : 
0.24/1.27	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
0.24/1.27	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
0.24/1.27	
0.24/1.27	- the following list represents a non-clausal connection proof
0.24/1.27	  (a tree in which each node is labelled with a nested clause)
0.24/1.27	- I^V is a skolem term f_I(V) for variable list V
0.24/1.27	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
0.24/1.27	  I is the unique index of C, K distinguishes different copies
0.24/1.27	  of C, and V is the list of (instantiated) variables in C
0.24/1.27	
0.24/1.27	[(1116 ^ 0) ^ [] : [1110 ^ [] = pv12], [(499 ^ 1) ^ [pv12, 1110 ^ []] : [-(1110 ^ [] = pv12), -(gt(pv12, 1110 ^ [])), leq(1110 ^ [], pv12)], [(787 ^ 2) ^ [pv12, 1110 ^ []] : [gt(pv12, 1110 ^ []), -(leq(1110 ^ [], pred(pv12)))], [(1097 ^ 3) ^ [1110 ^ []] : [leq(1110 ^ [], pred(pv12)), -(a_select3(q, pv10, 1110 ^ []) = divide(sqrt(times(minus(a_select3(center, 1110 ^ [], n0), a_select2(x, pv10)), minus(a_select3(center, 1110 ^ [], n0), a_select2(x, pv10)))), sum(n0, n4, sqrt(times(minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10))))))), leq(n0, 1110 ^ [])], [(1118 ^ 4) ^ [] : [a_select3(q, pv10, 1110 ^ []) = divide(sqrt(times(minus(a_select3(center, 1110 ^ [], n0), a_select2(x, pv10)), minus(a_select3(center, 1110 ^ [], n0), a_select2(x, pv10)))), sum(n0, n4, sqrt(times(minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10))))))]], [(1112 ^ 4) ^ [] : [-(leq(n0, 1110 ^ []))]]]], [(1114 ^ 2) ^ [] : [-(leq(1110 ^ [], pv12))]]]]
0.24/1.28	
0.24/1.28	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
0.24/1.28	EOF