0.10/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.13	% Command    : duper %s
0.14/0.34	% Computer : n016.cluster.edu
0.14/0.34	% Model    : x86_64 x86_64
0.14/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory   : 8042.1875MB
0.14/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit   : 1440
0.14/0.34	% WCLimit    : 180
0.14/0.34	% DateTime   : Mon Jul  3 04:27:19 EDT 2023
0.14/0.34	% CPUTime    : 
3.57/3.75	SZS status Theorem for theBenchmark.p
3.57/3.75	SZS output start Proof for theBenchmark.p
3.57/3.75	Clause #0 (by assumption #[]): Eq
3.57/3.75	  (Not
3.57/3.75	    (And (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e))
3.57/3.75	        (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)) →
3.57/3.75	      cP a b ab → cP b a ab))
3.57/3.75	  True
3.57/3.75	Clause #1 (by clausification #[0]): Eq
3.57/3.75	  (And (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e))
3.57/3.75	      (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)) →
3.57/3.75	    cP a b ab → cP b a ab)
3.57/3.75	  False
3.57/3.75	Clause #2 (by clausification #[1]): Eq
3.57/3.75	  (And (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e))
3.57/3.75	    (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)))
3.57/3.75	  True
3.57/3.75	Clause #3 (by clausification #[1]): Eq (cP a b ab → cP b a ab) False
3.57/3.75	Clause #4 (by clausification #[2]): Eq (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)) True
3.57/3.75	Clause #5 (by clausification #[2]): Eq (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e)) True
3.57/3.75	Clause #6 (by clausification #[4]): ∀ (a : Iota),
3.57/3.75	  Eq (∀ (Xy Xz Xxy Xyz Xxyz : Iota), And (cP a Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)) True
3.57/3.75	Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
3.57/3.75	  Eq (∀ (Xz Xxy Xyz Xxyz : Iota), And (cP a a_1 Xxy) (cP a_1 Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)) True
3.57/3.75	Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
3.57/3.75	  Eq (∀ (Xxy Xyz Xxyz : Iota), And (cP a a_1 Xxy) (cP a_1 a_2 Xyz) → Iff (cP Xxy a_2 Xxyz) (cPx Xyz Xxyz)) True
3.57/3.75	Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
3.57/3.75	  Eq (∀ (Xyz Xxyz : Iota), And (cP a a_1 a_2) (cP a_1 a_3 Xyz) → Iff (cP a_2 a_3 Xxyz) (cPx Xyz Xxyz)) True
3.57/3.75	Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
3.57/3.75	  Eq (∀ (Xxyz : Iota), And (cP a a_1 a_2) (cP a_1 a_3 a_4) → Iff (cP a_2 a_3 Xxyz) (cPx a_4 Xxyz)) True
3.57/3.75	Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (And (cP a a_1 a_2) (cP a_1 a_3 a_4) → Iff (cP a_2 a_3 a_5) (cPx a_4 a_5)) True
3.57/3.75	Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
3.57/3.75	  Or (Eq (And (cP a a_1 a_2) (cP a_1 a_3 a_4)) False) (Eq (Iff (cP a_2 a_3 a_5) (cPx a_4 a_5)) True)
3.57/3.75	Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
3.57/3.75	  Or (Eq (Iff (cP a a_1 a_2) (cPx a_3 a_2)) True) (Or (Eq (cP a_4 a_5 a) False) (Eq (cP a_5 a_1 a_3) False))
3.57/3.75	Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
3.57/3.75	  Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP a_1 a_3 a_4) False) (Or (Eq (cP a_2 a_3 a_5) True) (Eq (cPx a_4 a_5) False)))
3.57/3.75	Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
3.57/3.75	  Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP a_1 a_3 a_4) False) (Or (Eq (cP a_2 a_3 a_5) False) (Eq (cPx a_4 a_5) True)))
3.57/3.75	Clause #16 (by clausification #[3]): Eq (cP a b ab) True
3.57/3.75	Clause #17 (by clausification #[3]): Eq (cP b a ab) False
3.57/3.75	Clause #18 (by superposition #[16, 14]): ∀ (a a_1 a_2 : Iota),
3.57/3.75	  Or (Eq True False) (Or (Eq (cP b a a_1) False) (Or (Eq (cP ab a a_2) True) (Eq (cPx a_1 a_2) False)))
3.57/3.75	Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP b a a_1) False) (Or (Eq (cP ab a a_2) True) (Eq (cPx a_1 a_2) False))
3.57/3.75	Clause #20 (by clausification #[5]): Eq (∀ (Xz : Iota), cP Xz Xz e) True
3.57/3.75	Clause #21 (by clausification #[5]): Eq (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) True
3.57/3.75	Clause #22 (by clausification #[20]): ∀ (a : Iota), Eq (cP a a e) True
3.57/3.75	Clause #23 (by superposition #[22, 14]): ∀ (a a_1 a_2 a_3 : Iota),
3.57/3.75	  Or (Eq True False) (Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP e a_1 a_3) True) (Eq (cPx a_2 a_3) False)))
3.57/3.75	Clause #24 (by superposition #[22, 19]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (cP ab b a) True) (Eq (cPx e a) False))
3.57/3.77	Clause #25 (by superposition #[15, 16]): ∀ (a a_1 a_2 : Iota),
3.57/3.77	  Or (Eq True False) (Or (Eq (cP b a a_1) False) (Or (Eq (cP ab a a_2) False) (Eq (cPx a_1 a_2) True)))
3.57/3.77	Clause #26 (by superposition #[15, 22]): ∀ (a a_1 a_2 a_3 : Iota),
3.57/3.77	  Or (Eq True False) (Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP e a_1 a_3) False) (Eq (cPx a_2 a_3) True)))
3.57/3.77	Clause #27 (by clausification #[24]): ∀ (a : Iota), Or (Eq (cP ab b a) True) (Eq (cPx e a) False)
3.57/3.77	Clause #28 (by clausification #[21]): Eq (∀ (Xy : Iota), cP Xy e Xy) True
3.57/3.77	Clause #29 (by clausification #[21]): Eq (∀ (Xx : Iota), cP e Xx Xx) True
3.57/3.77	Clause #30 (by clausification #[28]): ∀ (a : Iota), Eq (cP a e a) True
3.57/3.77	Clause #31 (by superposition #[30, 14]): ∀ (a a_1 a_2 a_3 : Iota),
3.57/3.77	  Or (Eq True False) (Or (Eq (cP e a a_1) False) (Or (Eq (cP a_2 a a_3) True) (Eq (cPx a_1 a_3) False)))
3.57/3.77	Clause #33 (by superposition #[30, 15]): ∀ (a a_1 a_2 a_3 : Iota),
3.57/3.77	  Or (Eq True False) (Or (Eq (cP e a a_1) False) (Or (Eq (cP a_2 a a_3) False) (Eq (cPx a_1 a_3) True)))
3.57/3.77	Clause #34 (by clausification #[29]): ∀ (a : Iota), Eq (cP e a a) True
3.57/3.77	Clause #38 (by clausification #[23]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP e a_1 a_3) True) (Eq (cPx a_2 a_3) False))
3.57/3.77	Clause #42 (by superposition #[38, 34]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) True) (Or (Eq (cPx a a_1) False) (Eq False True))
3.57/3.77	Clause #43 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP b a a_1) False) (Or (Eq (cP ab a a_2) False) (Eq (cPx a_1 a_2) True))
3.57/3.77	Clause #45 (by superposition #[43, 30]): ∀ (a : Iota), Or (Eq (cP ab e a) False) (Or (Eq (cPx b a) True) (Eq False True))
3.57/3.77	Clause #46 (by clausification #[45]): ∀ (a : Iota), Or (Eq (cP ab e a) False) (Eq (cPx b a) True)
3.57/3.77	Clause #52 (by clausification #[42]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) True) (Eq (cPx a a_1) False)
3.57/3.77	Clause #54 (by clausification #[26]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP e a_1 a_3) False) (Eq (cPx a_2 a_3) True))
3.57/3.77	Clause #56 (by superposition #[54, 22]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) False) (Or (Eq (cPx e a_1) True) (Eq False True))
3.57/3.77	Clause #62 (by clausification #[56]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) False) (Eq (cPx e a_1) True)
3.57/3.77	Clause #65 (by superposition #[62, 34]): ∀ (a : Iota), Or (Eq (cPx e a) True) (Eq False True)
3.57/3.77	Clause #66 (by clausification #[65]): ∀ (a : Iota), Eq (cPx e a) True
3.57/3.77	Clause #67 (by backward demodulation #[66, 27]): ∀ (a : Iota), Or (Eq (cP ab b a) True) (Eq True False)
3.57/3.77	Clause #70 (by superposition #[66, 52]): ∀ (a : Iota), Or (Eq (cP e e a) True) (Eq True False)
3.57/3.77	Clause #73 (by clausification #[31]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cP e a a_1) False) (Or (Eq (cP a_2 a a_3) True) (Eq (cPx a_1 a_3) False))
3.57/3.77	Clause #77 (by clausification #[67]): ∀ (a : Iota), Eq (cP ab b a) True
3.57/3.77	Clause #82 (by clausification #[70]): ∀ (a : Iota), Eq (cP e e a) True
3.57/3.77	Clause #85 (by superposition #[82, 73]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (cP a e a_1) True) (Eq (cPx a_2 a_1) False))
3.57/3.77	Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a e a_1) True) (Eq (cPx a_2 a_1) False)
3.57/3.77	Clause #88 (by superposition #[86, 66]): ∀ (a a_1 : Iota), Or (Eq (cP a e a_1) True) (Eq False True)
3.57/3.77	Clause #89 (by clausification #[33]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cP e a a_1) False) (Or (Eq (cP a_2 a a_3) False) (Eq (cPx a_1 a_3) True))
3.57/3.77	Clause #94 (by clausification #[88]): ∀ (a a_1 : Iota), Eq (cP a e a_1) True
3.57/3.77	Clause #95 (by superposition #[94, 46]): ∀ (a : Iota), Or (Eq True False) (Eq (cPx b a) True)
3.57/3.77	Clause #99 (by clausification #[95]): ∀ (a : Iota), Eq (cPx b a) True
3.57/3.77	Clause #101 (by superposition #[99, 52]): ∀ (a : Iota), Or (Eq (cP e b a) True) (Eq True False)
3.57/3.77	Clause #102 (by clausification #[101]): ∀ (a : Iota), Eq (cP e b a) True
3.57/3.77	Clause #104 (by superposition #[102, 89]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (cP a b a_1) False) (Eq (cPx a_2 a_1) True))
3.57/3.77	Clause #112 (by clausification #[104]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a b a_1) False) (Eq (cPx a_2 a_1) True)
3.57/3.77	Clause #115 (by superposition #[112, 77]): ∀ (a a_1 : Iota), Or (Eq (cPx a a_1) True) (Eq False True)
3.57/3.78	Clause #119 (by clausification #[115]): ∀ (a a_1 : Iota), Eq (cPx a a_1) True
3.57/3.78	Clause #120 (by backward demodulation #[119, 52]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) True) (Eq True False)
3.57/3.78	Clause #128 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (cP e a a_1) True
3.57/3.78	Clause #130 (by superposition #[128, 73]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Or (Eq (cP a a_1 a_2) True) (Eq (cPx a_3 a_2) False))
3.57/3.78	Clause #155 (by clausification #[130]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cP a a_1 a_2) True) (Eq (cPx a_3 a_2) False)
3.57/3.78	Clause #156 (by superposition #[155, 119]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1 a_2) True) (Eq False True)
3.57/3.78	Clause #157 (by clausification #[156]): ∀ (a a_1 a_2 : Iota), Eq (cP a a_1 a_2) True
3.57/3.78	Clause #158 (by superposition #[157, 17]): Eq True False
3.57/3.78	Clause #159 (by clausification #[158]): False
3.57/3.78	SZS output end Proof for theBenchmark.p
3.57/3.78	EOF