0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : duper %s
0.13/0.34	% Computer : n018.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1440
0.13/0.34	% WCLimit    : 180
0.13/0.34	% DateTime   : Mon Jul  3 07:31:16 EDT 2023
0.13/0.34	% CPUTime    : 
23.97/24.18	SZS status Theorem for theBenchmark.p
23.97/24.18	SZS output start Proof for theBenchmark.p
23.97/24.18	Clause #25 (by assumption #[]): Eq
23.97/24.18	  (∀ (Xs : list_c1059388851t_unit),
23.97/24.18	    Ne Xs nil_co1338500125t_unit →
23.97/24.18	      Eq (last_c571238084t_unit Xs)
23.97/24.18	        (nth_co1649820636t_unit Xs (minus_minus_nat (size_s1406904903t_unit Xs) one_one_nat)))
23.97/24.18	  True
23.97/24.18	Clause #72 (by assumption #[]): Eq
23.97/24.18	  (Not
23.97/24.18	    (Eq (last_c571238084t_unit (fe n))
23.97/24.18	      (nth_co1649820636t_unit (fe n) (minus_minus_nat (size_s1406904903t_unit (fe n)) one_one_nat))))
23.97/24.18	  True
23.97/24.18	Clause #86 (by assumption #[]): Eq (Ne (fe n) nil_co1338500125t_unit) True
23.97/24.18	Clause #169 (by clausification #[86]): Ne (fe n) nil_co1338500125t_unit
23.97/24.18	Clause #2345 (by clausification #[25]): ∀ (a : list_c1059388851t_unit),
23.97/24.18	  Eq
23.97/24.18	    (Ne a nil_co1338500125t_unit →
23.97/24.18	      Eq (last_c571238084t_unit a) (nth_co1649820636t_unit a (minus_minus_nat (size_s1406904903t_unit a) one_one_nat)))
23.97/24.18	    True
23.97/24.18	Clause #2346 (by clausification #[2345]): ∀ (a : list_c1059388851t_unit),
23.97/24.18	  Or (Eq (Ne a nil_co1338500125t_unit) False)
23.97/24.18	    (Eq
23.97/24.18	      (Eq (last_c571238084t_unit a) (nth_co1649820636t_unit a (minus_minus_nat (size_s1406904903t_unit a) one_one_nat)))
23.97/24.18	      True)
23.97/24.18	Clause #2347 (by clausification #[2346]): ∀ (a : list_c1059388851t_unit),
23.97/24.18	  Or
23.97/24.18	    (Eq
23.97/24.18	      (Eq (last_c571238084t_unit a) (nth_co1649820636t_unit a (minus_minus_nat (size_s1406904903t_unit a) one_one_nat)))
23.97/24.18	      True)
23.97/24.18	    (Eq a nil_co1338500125t_unit)
23.97/24.18	Clause #2348 (by clausification #[2347]): ∀ (a : list_c1059388851t_unit),
23.97/24.18	  Or (Eq a nil_co1338500125t_unit)
23.97/24.18	    (Eq (last_c571238084t_unit a) (nth_co1649820636t_unit a (minus_minus_nat (size_s1406904903t_unit a) one_one_nat)))
23.97/24.18	Clause #5143 (by clausification #[72]): Eq
23.97/24.18	  (Eq (last_c571238084t_unit (fe n))
23.97/24.18	    (nth_co1649820636t_unit (fe n) (minus_minus_nat (size_s1406904903t_unit (fe n)) one_one_nat)))
23.97/24.18	  False
23.97/24.18	Clause #5144 (by clausification #[5143]): Ne (last_c571238084t_unit (fe n))
23.97/24.18	  (nth_co1649820636t_unit (fe n) (minus_minus_nat (size_s1406904903t_unit (fe n)) one_one_nat))
23.97/24.18	Clause #5145 (by superposition #[5144, 2348]): Or (Eq (fe n) nil_co1338500125t_unit) (Ne (last_c571238084t_unit (fe n)) (last_c571238084t_unit (fe n)))
23.97/24.18	Clause #5154 (by eliminate resolved literals #[5145]): Eq (fe n) nil_co1338500125t_unit
23.97/24.18	Clause #5155 (by forward contextual literal cutting #[5154, 169]): False
23.97/24.18	SZS output end Proof for theBenchmark.p
23.97/24.18	EOF