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
0.13/0.33	% Computer   : n013.cluster.edu
0.13/0.33	% Model      : x86_64 x86_64
0.13/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory     : 8042.1875MB
0.13/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit   : 180
0.13/0.33	% DateTime   : Thu Aug 29 14:41:01 EDT 2019
0.13/0.33	% CPUTime    : 
15.07/14.90	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
15.07/14.91	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
15.07/14.91	
15.07/14.91	- the following list represents a non-clausal connection proof
15.07/14.91	  (a tree in which each node is labelled with a nested clause)
15.07/14.91	- I^V is a skolem term f_I(V) for variable list V
15.07/14.91	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
15.07/14.91	  I is the unique index of C, K distinguishes different copies
15.07/14.91	  of C, and V is the list of (instantiated) variables in C
15.07/14.91	
15.07/14.91	[(1152 ^ 0) ^ [hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]), 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]] : [hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]))), hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]))], [(894 ^ 1) ^ [tc_Nat_Onat, _653025, hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])] : [-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])))), class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat), hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _653025), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _653025), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]))))], [(1871 ^ 2) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat))]], [(1808 ^ 2) ^ [hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _653025), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]))] : [-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _653025), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _653025), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])))))]]], [(3116 ^ 1) ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))] : [-(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))]))), 3120 ^ 1 : [(3121 ^ 1) ^ [hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])] : [hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))))]], c_Finite__Set_Ofinite(tc_Nat_Onat, c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))))], [(1226 ^ 4) ^ [tc_Nat_Onat, c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))], tc_Arrow__Order__Mirabelle_Oindi] : [-(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Nat_OSuc, 3119 ^ [c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))])), c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))))))]], [(2554 ^ 2) ^ [tc_Arrow__Order__Mirabelle_Oindi, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)), tc_Nat_Onat, c_Nat_OSuc] : [-(c_Finite__Set_Ofinite(tc_Nat_Onat, c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi, tc_Nat_Onat, c_Nat_OSuc, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))))), c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool)))], [(3218 ^ 3) ^ [] : [-(c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi, c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_HOL_Obool))))]]]]]
15.07/14.92	
15.07/14.92	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
15.07/14.92	EOF