0.00/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : duper %s
0.12/0.34	% Computer : n001.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1440
0.12/0.34	% WCLimit    : 180
0.12/0.34	% DateTime   : Mon Jul  3 07:29:44 EDT 2023
0.12/0.34	% CPUTime    : 
5.84/6.03	SZS status Theorem for theBenchmark.p
5.84/6.03	SZS output start Proof for theBenchmark.p
5.84/6.03	Clause #45 (by assumption #[]): Eq
5.84/6.03	  (∀ (H : a → int) (T1 : binary1439146945Tree_a) (X : a) (T2 : binary1439146945Tree_a),
5.84/6.03	    binary1721989714Tree_a H (binary717961607le_T_a T1 X T2) → binary1721989714Tree_a H T1)
5.84/6.03	  True
5.84/6.03	Clause #215 (by assumption #[]): Eq (Not (binary1721989714Tree_a h t1)) True
5.84/6.03	Clause #249 (by assumption #[]): Eq (binary1721989714Tree_a h (binary717961607le_T_a t1 x t2)) True
5.84/6.03	Clause #288 (by clausification #[215]): Eq (binary1721989714Tree_a h t1) False
5.84/6.03	Clause #1740 (by clausification #[45]): ∀ (a_1 : a → int),
5.84/6.03	  Eq
5.84/6.03	    (∀ (T1 : binary1439146945Tree_a) (X : a) (T2 : binary1439146945Tree_a),
5.84/6.03	      binary1721989714Tree_a a_1 (binary717961607le_T_a T1 X T2) → binary1721989714Tree_a a_1 T1)
5.84/6.03	    True
5.84/6.03	Clause #1741 (by clausification #[1740]): ∀ (a_1 : a → int) (a_2 : binary1439146945Tree_a),
5.84/6.03	  Eq
5.84/6.03	    (∀ (X : a) (T2 : binary1439146945Tree_a),
5.84/6.03	      binary1721989714Tree_a a_1 (binary717961607le_T_a a_2 X T2) → binary1721989714Tree_a a_1 a_2)
5.84/6.03	    True
5.84/6.03	Clause #1742 (by clausification #[1741]): ∀ (a_1 : a → int) (a_2 : binary1439146945Tree_a) (a : a),
5.84/6.03	  Eq
5.84/6.03	    (∀ (T2 : binary1439146945Tree_a),
5.84/6.03	      binary1721989714Tree_a a_1 (binary717961607le_T_a a_2 a T2) → binary1721989714Tree_a a_1 a_2)
5.84/6.03	    True
5.84/6.03	Clause #1743 (by clausification #[1742]): ∀ (a_1 : a → int) (a_2 : binary1439146945Tree_a) (a : a) (a_3 : binary1439146945Tree_a),
5.84/6.03	  Eq (binary1721989714Tree_a a_1 (binary717961607le_T_a a_2 a a_3) → binary1721989714Tree_a a_1 a_2) True
5.84/6.03	Clause #1744 (by clausification #[1743]): ∀ (a_1 : a → int) (a_2 : binary1439146945Tree_a) (a : a) (a_3 : binary1439146945Tree_a),
5.84/6.03	  Or (Eq (binary1721989714Tree_a a_1 (binary717961607le_T_a a_2 a a_3)) False)
5.84/6.03	    (Eq (binary1721989714Tree_a a_1 a_2) True)
5.84/6.03	Clause #1745 (by superposition #[1744, 249]): Or (Eq (binary1721989714Tree_a (fun x => h x) t1) True) (Eq False True)
5.84/6.03	Clause #1750 (by betaEtaReduce #[1745]): Or (Eq (binary1721989714Tree_a h t1) True) (Eq False True)
5.84/6.03	Clause #1751 (by clausification #[1750]): Eq (binary1721989714Tree_a h t1) True
5.84/6.03	Clause #1752 (by superposition #[1751, 288]): Eq True False
5.84/6.03	Clause #1771 (by clausification #[1752]): False
5.84/6.03	SZS output end Proof for theBenchmark.p
5.84/6.03	EOF
