0.13/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.13/0.14	% Command    : duper %s
0.15/0.35	% Computer : n004.cluster.edu
0.15/0.35	% Model    : x86_64 x86_64
0.15/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.35	% Memory   : 8042.1875MB
0.15/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.35	% CPULimit   : 1440
0.15/0.35	% WCLimit    : 180
0.15/0.35	% DateTime   : Mon Jul  3 06:24:15 EDT 2023
0.15/0.36	% CPUTime    : 
3.31/3.53	SZS status Theorem for theBenchmark.p
3.31/3.53	SZS output start Proof for theBenchmark.p
3.31/3.53	Clause #1 (by assumption #[]): Eq hoare_1821564147gleton True
3.31/3.53	Clause #2 (by assumption #[]): Eq (Iff hoare_1821564147gleton (Exists fun S => Exists fun T => Ne S T)) True
3.31/3.53	Clause #3 (by assumption #[]): Eq (Not (∀ (T : state), Not (∀ (S : state), Eq S T))) True
3.31/3.53	Clause #6 (by clausification #[3]): Eq (∀ (T : state), Not (∀ (S : state), Eq S T)) False
3.31/3.53	Clause #7 (by clausification #[6]): ∀ (a : state), Eq (Not (Not (∀ (S : state), Eq S (skS.0 0 a)))) True
3.31/3.53	Clause #8 (by clausification #[7]): ∀ (a : state), Eq (Not (∀ (S : state), Eq S (skS.0 0 a))) False
3.31/3.53	Clause #9 (by clausification #[8]): ∀ (a : state), Eq (∀ (S : state), Eq S (skS.0 0 a)) True
3.31/3.53	Clause #10 (by clausification #[9]): ∀ (a a_1 : state), Eq (Eq a (skS.0 0 a_1)) True
3.31/3.53	Clause #11 (by clausification #[10]): ∀ (a a_1 : state), Eq a (skS.0 0 a_1)
3.31/3.53	Clause #12 (by superposition #[11, 11]): ∀ (a a_1 : state), Eq a a_1
3.31/3.53	Clause #13 (by betaEtaReduce #[2]): Eq (Iff hoare_1821564147gleton (Exists fun S => Exists (Ne S))) True
3.31/3.53	Clause #15 (by clausification #[13]): Or (Eq hoare_1821564147gleton False) (Eq (Exists fun S => Exists (Ne S)) True)
3.31/3.53	Clause #19 (by clausification #[15]): ∀ (a : state), Or (Eq hoare_1821564147gleton False) (Eq (Exists (Ne (skS.0 1 a))) True)
3.31/3.53	Clause #20 (by clausification #[19]): ∀ (a a_1 : state), Or (Eq hoare_1821564147gleton False) (Eq (Ne (skS.0 1 a) (skS.0 2 a a_1)) True)
3.31/3.53	Clause #21 (by clausification #[20]): ∀ (a a_1 : state), Or (Eq hoare_1821564147gleton False) (Ne (skS.0 1 a) (skS.0 2 a a_1))
3.31/3.53	Clause #22 (by forward demodulation #[21, 1]): ∀ (a a_1 : state), Or (Eq True False) (Ne (skS.0 1 a) (skS.0 2 a a_1))
3.31/3.53	Clause #23 (by clausification #[22]): ∀ (a a_1 : state), Ne (skS.0 1 a) (skS.0 2 a a_1)
3.31/3.53	Clause #24 (by forward contextual literal cutting #[23, 12]): False
3.31/3.53	SZS output end Proof for theBenchmark.p
3.31/3.53	EOF