0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : nanocop_casc.sh %s %d
0.11/0.33	% Computer   : n009.cluster.edu
0.11/0.33	% Model      : x86_64 x86_64
0.11/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory     : 8042.1875MB
0.11/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 180
0.11/0.33	% DateTime   : Thu Aug 29 10:39:12 EDT 2019
0.11/0.33	% CPUTime    : 
11.72/11.79	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
11.77/11.79	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
11.77/11.80	
11.77/11.80	- the following list represents a non-clausal connection proof
11.77/11.80	  (a tree in which each node is labelled with a nested clause)
11.77/11.80	- I^V is a skolem term f_I(V) for variable list V
11.77/11.80	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
11.77/11.80	  I is the unique index of C, K distinguishes different copies
11.77/11.80	  of C, and V is the list of (instantiated) variables in C
11.77/11.80	
11.77/11.80	[(452 ^ 0) ^ [199 ^ [xx, sdtmndt0(xS, xx), xS]] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx)), 455 ^ 0 : [(458 ^ 0) ^ [] : [xx = 199 ^ [xx, sdtmndt0(xS, xx), xS]]]], [(466 ^ 1) ^ [199 ^ [xx, sdtmndt0(xS, xx), xS]] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), 469 ^ 1 : [(472 ^ 1) ^ [] : [-(xx = 199 ^ [xx, sdtmndt0(xS, xx), xS])]], aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtpldt0(sdtmndt0(xS, xx), xx))], [(4 ^ 4) ^ [199 ^ [xx, sdtmndt0(xS, xx), xS], xx] : [xx = 199 ^ [xx, sdtmndt0(xS, xx), xS], -(199 ^ [xx, sdtmndt0(xS, xx), xS] = xx)], [(156 ^ 5) ^ [xx, sdtmndt0(xS, xx)] : [199 ^ [xx, sdtmndt0(xS, xx), xS] = xx, 163 ^ 5 : [(194 ^ 5) ^ [xS] : [202 ^ 5 : [(205 ^ 5) ^ [] : [208 ^ 5 : [(211 ^ 5) ^ [] : []], aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS])]], -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), aSet0(xS), 212 ^ 5 : [(221 ^ 5) ^ [] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS)], (213 ^ 5) ^ [] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))], (215 ^ 5) ^ [] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), -(199 ^ [xx, sdtmndt0(xS, xx), xS] = xx)]]]], aSet0(sdtmndt0(xS, xx)), aElement0(xx)], [(470 ^ 10) ^ [] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))]], [(490 ^ 8) ^ [] : [xS = sdtpldt0(sdtmndt0(xS, xx), xx)]], [(344 ^ 8) ^ [] : [-(aSet0(xS))]], [(74 ^ 10) ^ [xS, xS, 199 ^ [xx, sdtmndt0(xS, xx), xS], xx] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS)), aElementOf0(xx, xS), xx = 199 ^ [xx, sdtmndt0(xS, xx), xS], xS = xS], [(356 ^ 11) ^ [] : [-(aElementOf0(xx, xS))]], [_39170 ^ _39171 : [-(xx = 199 ^ [xx, sdtmndt0(xS, xx), xS])]], [(2 ^ 11) ^ [xS] : [-(xS = xS)]]], [(462 ^ 6) ^ [] : [-(aSet0(sdtmndt0(xS, xx)))]], [(64 ^ 6) ^ [xx, 199 ^ [xx, sdtmndt0(xS, xx), xS]] : [-(aElement0(xx)), 199 ^ [xx, sdtmndt0(xS, xx), xS] = xx, aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS])], [_39552 ^ _39553 : [-(199 ^ [xx, sdtmndt0(xS, xx), xS] = xx)]], [(470 ^ 7) ^ [] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))]]]]], [(478 ^ 2) ^ [199 ^ [xx, sdtmndt0(xS, xx), xS]] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]), 483 ^ 2 : [(484 ^ 2) ^ [] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))], (486 ^ 2) ^ [] : [xx = 199 ^ [xx, sdtmndt0(xS, xx), xS]]]], [(156 ^ 3) ^ [xx, sdtmndt0(xS, xx)] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS])), 163 ^ 3 : [(194 ^ 3) ^ [xS] : [212 ^ 3 : [(213 ^ 3) ^ [] : []], -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), aSet0(xS), 202 ^ 3 : [(203 ^ 3) ^ [] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS))], (205 ^ 3) ^ [] : [aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]), 208 ^ 3 : [(209 ^ 3) ^ [] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))], (211 ^ 3) ^ [] : [199 ^ [xx, sdtmndt0(xS, xx), xS] = xx]]]]]], aSet0(sdtmndt0(xS, xx)), aElement0(xx)], [(490 ^ 6) ^ [] : [xS = sdtpldt0(sdtmndt0(xS, xx), xx)]], [(344 ^ 6) ^ [] : [-(aSet0(xS))]], [(378 ^ 8) ^ [xS] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS), 381 ^ 8 : [(382 ^ 8) ^ [199 ^ [xx, sdtmndt0(xS, xx), xS]] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))]], aSet0(xS)], [_41392 ^ _41393 : [aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS])]], [_41411 ^ _41412 : [-(aSet0(xS))]]], [(462 ^ 4) ^ [] : [-(aSet0(sdtmndt0(xS, xx)))]], [(378 ^ 4) ^ [xS] : [-(aElement0(xx)), 381 ^ 4 : [(382 ^ 4) ^ [xx] : [aElementOf0(xx, xS)]], aSet0(xS)], [(356 ^ 7) ^ [] : [-(aElementOf0(xx, xS))]], [(344 ^ 5) ^ [] : [-(aSet0(xS))]]]], [(438 ^ 5) ^ [199 ^ [xx, sdtmndt0(xS, xx), xS]] : [-(xx = 199 ^ [xx, sdtmndt0(xS, xx), xS]), -(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]), aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS)], [_42324 ^ _42325 : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))]], [_42342 ^ _42343 : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))]], [(156 ^ 6) ^ [xx, sdtmndt0(xS, xx)] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS)), 163 ^ 6 : [(194 ^ 6) ^ [xS] : [202 ^ 6 : [(203 ^ 6) ^ [] : []], -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), aSet0(xS), 212 ^ 6 : [(221 ^ 6) ^ [] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS)], (213 ^ 6) ^ [] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))], (215 ^ 6) ^ [] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), -(199 ^ [xx, sdtmndt0(xS, xx), xS] = xx)]]]], aSet0(sdtmndt0(xS, xx)), aElement0(xx)], [(490 ^ 9) ^ [] : [xS = sdtpldt0(sdtmndt0(xS, xx), xx)]], [(344 ^ 9) ^ [] : [-(aSet0(xS))]], [_43431 ^ _43432 : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))]], [(4 ^ 11) ^ [xx, 199 ^ [xx, sdtmndt0(xS, xx), xS]] : [199 ^ [xx, sdtmndt0(xS, xx), xS] = xx, -(xx = 199 ^ [xx, sdtmndt0(xS, xx), xS])], [_43581 ^ _43582 : [xx = 199 ^ [xx, sdtmndt0(xS, xx), xS]]]], [(462 ^ 7) ^ [] : [-(aSet0(sdtmndt0(xS, xx)))]], [(378 ^ 7) ^ [xS] : [-(aElement0(xx)), 381 ^ 7 : [(382 ^ 7) ^ [xx] : [aElementOf0(xx, xS)]], aSet0(xS)], [(356 ^ 10) ^ [] : [-(aElementOf0(xx, xS))]], [(344 ^ 8) ^ [] : [-(aSet0(xS))]]]]]]], [(438 ^ 3) ^ [199 ^ [xx, sdtmndt0(xS, xx), xS]] : [-(xx = 199 ^ [xx, sdtmndt0(xS, xx), xS]), -(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]), aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS)], [(478 ^ 4) ^ [199 ^ [xx, sdtmndt0(xS, xx), xS]] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx)), 483 ^ 4 : [(484 ^ 4) ^ [] : []], -(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS])], [(466 ^ 5) ^ [199 ^ [xx, sdtmndt0(xS, xx), xS]] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtpldt0(sdtmndt0(xS, xx), xx)), 469 ^ 5 : [(470 ^ 5) ^ [] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))], (472 ^ 5) ^ [] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), -(xx = 199 ^ [xx, sdtmndt0(xS, xx), xS])]]], [(156 ^ 8) ^ [xx, sdtmndt0(xS, xx)] : [aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]), 163 ^ 8 : [(194 ^ 8) ^ [xS] : [202 ^ 8 : [(205 ^ 8) ^ [] : [208 ^ 8 : [(209 ^ 8) ^ [] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))], (211 ^ 8) ^ [] : [199 ^ [xx, sdtmndt0(xS, xx), xS] = xx]]]], -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), aSet0(xS), 212 ^ 8 : [(221 ^ 8) ^ [] : [aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS)], (213 ^ 8) ^ [] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))], (215 ^ 8) ^ [] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), -(199 ^ [xx, sdtmndt0(xS, xx), xS] = xx)]]]], aSet0(sdtmndt0(xS, xx)), aElement0(xx)], [_45779 ^ _45780 : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx)))]], [(490 ^ 11) ^ [] : [xS = sdtpldt0(sdtmndt0(xS, xx), xx)]], [(344 ^ 11) ^ [] : [-(aSet0(xS))]], [(460 ^ 13) ^ [] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS))]], [(462 ^ 9) ^ [] : [-(aSet0(sdtmndt0(xS, xx)))]], [(378 ^ 9) ^ [xS] : [-(aElement0(xx)), 381 ^ 9 : [(382 ^ 9) ^ [xx] : [aElementOf0(xx, xS)]], aSet0(xS)], [(356 ^ 12) ^ [] : [-(aElementOf0(xx, xS))]], [(344 ^ 10) ^ [] : [-(aSet0(xS))]]]]], [(456 ^ 5) ^ [] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))]]], [(456 ^ 4) ^ [] : [-(aElement0(199 ^ [xx, sdtmndt0(xS, xx), xS]))]], [(460 ^ 4) ^ [] : [-(aElementOf0(199 ^ [xx, sdtmndt0(xS, xx), xS], xS))]]]]
11.77/11.81	
11.77/11.81	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
11.77/11.81	EOF