0.03/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : duper %s
0.13/0.33	% Computer : n006.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   : 1440
0.13/0.33	% WCLimit    : 180
0.13/0.33	% DateTime   : Mon Jul  3 04:11:21 EDT 2023
0.13/0.33	% CPUTime    : 
74.10/74.32	SZS status Theorem for theBenchmark.p
74.10/74.32	SZS output start Proof for theBenchmark.p
74.10/74.32	Clause #0 (by assumption #[]): Eq
74.10/74.32	  (Eq foundationAx
74.10/74.32	    (∀ (A : Iota),
74.10/74.32	      (Exists fun Xx => in Xx A) → Exists fun B => And (in B A) (Not (Exists fun Xx => And (in Xx B) (in Xx A)))))
74.10/74.32	  True
74.10/74.32	Clause #1 (by assumption #[]): Eq (Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy))) True
74.10/74.32	Clause #2 (by assumption #[]): Eq (Eq setadjoinIR (∀ (Xx A Xy : Iota), in Xy A → in Xy (setadjoin Xx A))) True
74.10/74.32	Clause #4 (by assumption #[]): Eq (Eq upairset2E (∀ (Xx Xy Xz : Iota), in Xz (setadjoin Xx (setadjoin Xy emptyset)) → Or (Eq Xz Xx) (Eq Xz Xy))) True
74.10/74.32	Clause #5 (by assumption #[]): Eq (Not (foundationAx → setadjoinIL → setadjoinIR → in__Cong → upairset2E → ∀ (A B : Iota), in A B → Not (in B A))) True
74.10/74.32	Clause #6 (by clausification #[1]): Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy))
74.10/74.32	Clause #8 (by clausify Prop equality #[6]): Or (Eq setadjoinIL False) (Eq (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy)) True)
74.10/74.32	Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq setadjoinIL False) (Eq (∀ (Xy : Iota), in a (setadjoin a Xy)) True)
74.10/74.32	Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq setadjoinIL False) (Eq (in a (setadjoin a a_1)) True)
74.10/74.32	Clause #16 (by clausification #[2]): Eq setadjoinIR (∀ (Xx A Xy : Iota), in Xy A → in Xy (setadjoin Xx A))
74.10/74.32	Clause #20 (by clausification #[0]): Eq foundationAx
74.10/74.32	  (∀ (A : Iota),
74.10/74.32	    (Exists fun Xx => in Xx A) → Exists fun B => And (in B A) (Not (Exists fun Xx => And (in Xx B) (in Xx A))))
74.10/74.32	Clause #22 (by clausify Prop equality #[20]): Or (Eq foundationAx False)
74.10/74.32	  (Eq
74.10/74.32	    (∀ (A : Iota),
74.10/74.32	      (Exists fun Xx => in Xx A) → Exists fun B => And (in B A) (Not (Exists fun Xx => And (in Xx B) (in Xx A))))
74.10/74.32	    True)
74.10/74.32	Clause #36 (by clausification #[5]): Eq (foundationAx → setadjoinIL → setadjoinIR → in__Cong → upairset2E → ∀ (A B : Iota), in A B → Not (in B A)) False
74.10/74.32	Clause #37 (by clausification #[36]): Eq foundationAx True
74.10/74.32	Clause #38 (by clausification #[36]): Eq (setadjoinIL → setadjoinIR → in__Cong → upairset2E → ∀ (A B : Iota), in A B → Not (in B A)) False
74.10/74.32	Clause #40 (by clausification #[38]): Eq setadjoinIL True
74.10/74.32	Clause #41 (by clausification #[38]): Eq (setadjoinIR → in__Cong → upairset2E → ∀ (A B : Iota), in A B → Not (in B A)) False
74.10/74.32	Clause #43 (by backward demodulation #[40, 11]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in a (setadjoin a a_1)) True)
74.10/74.32	Clause #49 (by clausification #[43]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a a_1)) True
74.10/74.32	Clause #51 (by clausification #[41]): Eq setadjoinIR True
74.10/74.32	Clause #52 (by clausification #[41]): Eq (in__Cong → upairset2E → ∀ (A B : Iota), in A B → Not (in B A)) False
74.10/74.32	Clause #53 (by backward demodulation #[51, 16]): Eq True (∀ (Xx A Xy : Iota), in Xy A → in Xy (setadjoin Xx A))
74.10/74.32	Clause #56 (by clausification #[53]): ∀ (a : Iota), Eq (∀ (A Xy : Iota), in Xy A → in Xy (setadjoin a A)) True
74.10/74.32	Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota), Eq (∀ (Xy : Iota), in Xy a → in Xy (setadjoin a_1 a)) True
74.10/74.32	Clause #58 (by clausification #[57]): ∀ (a a_1 a_2 : Iota), Eq (in a a_1 → in a (setadjoin a_2 a_1)) True
74.10/74.32	Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Eq (in a (setadjoin a_2 a_1)) True)
74.10/74.32	Clause #60 (by superposition #[59, 49]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setadjoin a_1 (setadjoin a a_2))) True) (Eq False True)
74.10/74.32	Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), Eq (in a (setadjoin a_1 (setadjoin a a_2))) True
74.10/74.32	Clause #63 (by clausification #[4]): Eq upairset2E (∀ (Xx Xy Xz : Iota), in Xz (setadjoin Xx (setadjoin Xy emptyset)) → Or (Eq Xz Xx) (Eq Xz Xy))
74.10/74.32	Clause #68 (by clausification #[52]): Eq (upairset2E → ∀ (A B : Iota), in A B → Not (in B A)) False
74.10/74.32	Clause #70 (by clausification #[68]): Eq upairset2E True
74.10/74.32	Clause #71 (by clausification #[68]): Eq (∀ (A B : Iota), in A B → Not (in B A)) False
74.10/74.32	Clause #72 (by backward demodulation #[70, 63]): Eq True (∀ (Xx Xy Xz : Iota), in Xz (setadjoin Xx (setadjoin Xy emptyset)) → Or (Eq Xz Xx) (Eq Xz Xy))
74.18/74.34	Clause #73 (by clausification #[71]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), in (skS.0 5 a) B → Not (in B (skS.0 5 a)))) True
74.18/74.34	Clause #74 (by clausification #[73]): ∀ (a : Iota), Eq (∀ (B : Iota), in (skS.0 5 a) B → Not (in B (skS.0 5 a))) False
74.18/74.34	Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 5 a) (skS.0 6 a a_1) → Not (in (skS.0 6 a a_1) (skS.0 5 a)))) True
74.18/74.34	Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Eq (in (skS.0 5 a) (skS.0 6 a a_1) → Not (in (skS.0 6 a a_1) (skS.0 5 a))) False
74.18/74.34	Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), Eq (in (skS.0 5 a) (skS.0 6 a a_1)) True
74.18/74.34	Clause #78 (by clausification #[76]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 6 a a_1) (skS.0 5 a))) False
74.18/74.34	Clause #104 (by clausification #[72]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), in Xz (setadjoin a (setadjoin Xy emptyset)) → Or (Eq Xz a) (Eq Xz Xy)) True
74.18/74.34	Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), in Xz (setadjoin a (setadjoin a_1 emptyset)) → Or (Eq Xz a) (Eq Xz a_1)) True
74.18/74.34	Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 : Iota), Eq (in a (setadjoin a_1 (setadjoin a_2 emptyset)) → Or (Eq a a_1) (Eq a a_2)) True
74.18/74.34	Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setadjoin a_1 (setadjoin a_2 emptyset))) False) (Eq (Or (Eq a a_1) (Eq a a_2)) True)
74.18/74.34	Clause #108 (by clausification #[107]): ∀ (a a_1 a_2 : Iota),
74.18/74.34	  Or (Eq (in a (setadjoin a_1 (setadjoin a_2 emptyset))) False) (Or (Eq (Eq a a_1) True) (Eq (Eq a a_2) True))
74.18/74.34	Clause #109 (by clausification #[108]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setadjoin a_1 (setadjoin a_2 emptyset))) False) (Or (Eq (Eq a a_2) True) (Eq a a_1))
74.18/74.34	Clause #110 (by clausification #[109]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setadjoin a_1 (setadjoin a_2 emptyset))) False) (Or (Eq a a_1) (Eq a a_2))
74.18/74.34	Clause #114 (by clausification #[22]): ∀ (a : Iota),
74.18/74.34	  Or (Eq foundationAx False)
74.18/74.34	    (Eq ((Exists fun Xx => in Xx a) → Exists fun B => And (in B a) (Not (Exists fun Xx => And (in Xx B) (in Xx a))))
74.18/74.34	      True)
74.18/74.34	Clause #115 (by clausification #[114]): ∀ (a : Iota),
74.18/74.34	  Or (Eq foundationAx False)
74.18/74.34	    (Or (Eq (Exists fun Xx => in Xx a) False)
74.18/74.34	      (Eq (Exists fun B => And (in B a) (Not (Exists fun Xx => And (in Xx B) (in Xx a)))) True))
74.18/74.34	Clause #116 (by clausification #[115]): ∀ (a a_1 : Iota),
74.18/74.34	  Or (Eq foundationAx False)
74.18/74.34	    (Or (Eq (Exists fun B => And (in B a) (Not (Exists fun Xx => And (in Xx B) (in Xx a)))) True) (Eq (in a_1 a) False))
74.18/74.34	Clause #117 (by clausification #[116]): ∀ (a a_1 a_2 : Iota),
74.18/74.34	  Or (Eq foundationAx False)
74.18/74.34	    (Or (Eq (in a a_1) False)
74.18/74.34	      (Eq (And (in (skS.0 9 a_1 a_2) a_1) (Not (Exists fun Xx => And (in Xx (skS.0 9 a_1 a_2)) (in Xx a_1)))) True))
74.18/74.34	Clause #118 (by clausification #[117]): ∀ (a a_1 a_2 : Iota),
74.18/74.34	  Or (Eq foundationAx False)
74.18/74.34	    (Or (Eq (in a a_1) False) (Eq (Not (Exists fun Xx => And (in Xx (skS.0 9 a_1 a_2)) (in Xx a_1))) True))
74.18/74.34	Clause #119 (by clausification #[117]): ∀ (a a_1 a_2 : Iota), Or (Eq foundationAx False) (Or (Eq (in a a_1) False) (Eq (in (skS.0 9 a_1 a_2) a_1) True))
74.18/74.34	Clause #120 (by clausification #[118]): ∀ (a a_1 a_2 : Iota),
74.18/74.34	  Or (Eq foundationAx False)
74.18/74.34	    (Or (Eq (in a a_1) False) (Eq (Exists fun Xx => And (in Xx (skS.0 9 a_1 a_2)) (in Xx a_1)) False))
74.18/74.34	Clause #121 (by clausification #[120]): ∀ (a a_1 a_2 a_3 : Iota),
74.18/74.34	  Or (Eq foundationAx False) (Or (Eq (in a a_1) False) (Eq (And (in a_2 (skS.0 9 a_1 a_3)) (in a_2 a_1)) False))
74.18/74.34	Clause #122 (by clausification #[121]): ∀ (a a_1 a_2 a_3 : Iota),
74.18/74.34	  Or (Eq foundationAx False)
74.18/74.34	    (Or (Eq (in a a_1) False) (Or (Eq (in a_2 (skS.0 9 a_1 a_3)) False) (Eq (in a_2 a_1) False)))
74.18/74.34	Clause #123 (by forward demodulation #[122, 37]): ∀ (a a_1 a_2 a_3 : Iota),
74.18/74.34	  Or (Eq True False) (Or (Eq (in a a_1) False) (Or (Eq (in a_2 (skS.0 9 a_1 a_3)) False) (Eq (in a_2 a_1) False)))
74.18/74.34	Clause #124 (by clausification #[123]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in a a_1) False) (Or (Eq (in a_2 (skS.0 9 a_1 a_3)) False) (Eq (in a_2 a_1) False))
74.18/74.38	Clause #173 (by clausification #[78]): ∀ (a a_1 : Iota), Eq (in (skS.0 6 a a_1) (skS.0 5 a)) True
74.18/74.38	Clause #177 (by forward demodulation #[119, 37]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (in a a_1) False) (Eq (in (skS.0 9 a_1 a_2) a_1) True))
74.18/74.38	Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a a_1) False) (Eq (in (skS.0 9 a_1 a_2) a_1) True)
74.18/74.38	Clause #181 (by superposition #[178, 49]): ∀ (a a_1 a_2 : Iota), Or (Eq (in (skS.0 9 (setadjoin a a_1) a_2) (setadjoin a a_1)) True) (Eq False True)
74.18/74.38	Clause #186 (by clausification #[181]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 9 (setadjoin a a_1) a_2) (setadjoin a a_1)) True
74.18/74.38	Clause #187 (by superposition #[186, 110]): ∀ (a a_1 a_2 : Iota),
74.18/74.38	  Or (Eq True False)
74.18/74.38	    (Or (Eq (skS.0 9 (setadjoin a (setadjoin a_1 emptyset)) a_2) a)
74.18/74.38	      (Eq (skS.0 9 (setadjoin a (setadjoin a_1 emptyset)) a_2) a_1))
74.18/74.38	Clause #189 (by superposition #[186, 124]): ∀ (a a_1 a_2 a_3 : Iota),
74.18/74.38	  Or (Eq True False) (Or (Eq (in a (skS.0 9 (setadjoin a_1 a_2) a_3)) False) (Eq (in a (setadjoin a_1 a_2)) False))
74.18/74.38	Clause #264 (by clausification #[189]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in a (skS.0 9 (setadjoin a_1 a_2) a_3)) False) (Eq (in a (setadjoin a_1 a_2)) False)
74.18/74.38	Clause #583 (by clausification #[187]): ∀ (a a_1 a_2 : Iota),
74.18/74.38	  Or (Eq (skS.0 9 (setadjoin a (setadjoin a_1 emptyset)) a_2) a)
74.18/74.38	    (Eq (skS.0 9 (setadjoin a (setadjoin a_1 emptyset)) a_2) a_1)
74.18/74.38	Clause #595 (by superposition #[583, 264]): ∀ (a a_1 a_2 a_3 : Iota),
74.18/74.38	  Or (Eq (skS.0 9 (setadjoin a (setadjoin a_1 emptyset)) a_2) a)
74.18/74.38	    (Or (Eq (in a_3 a_1) False) (Eq (in a_3 (setadjoin a (setadjoin a_1 emptyset))) False))
74.18/74.38	Clause #671 (by superposition #[595, 77]): ∀ (a a_1 a_2 a_3 : Iota),
74.18/74.38	  Or (Eq (skS.0 9 (setadjoin a (setadjoin (skS.0 6 a_1 a_2) emptyset)) a_3) a)
74.18/74.38	    (Or (Eq (in (skS.0 5 a_1) (setadjoin a (setadjoin (skS.0 6 a_1 a_2) emptyset))) False) (Eq False True))
74.18/74.38	Clause #2566 (by clausification #[671]): ∀ (a a_1 a_2 a_3 : Iota),
74.18/74.38	  Or (Eq (skS.0 9 (setadjoin a (setadjoin (skS.0 6 a_1 a_2) emptyset)) a_3) a)
74.18/74.38	    (Eq (in (skS.0 5 a_1) (setadjoin a (setadjoin (skS.0 6 a_1 a_2) emptyset))) False)
74.18/74.38	Clause #2567 (by superposition #[2566, 49]): ∀ (a a_1 a_2 : Iota),
74.18/74.38	  Or (Eq (skS.0 9 (setadjoin (skS.0 5 a) (setadjoin (skS.0 6 a a_1) emptyset)) a_2) (skS.0 5 a)) (Eq False True)
74.18/74.38	Clause #2568 (by clausification #[2567]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 9 (setadjoin (skS.0 5 a) (setadjoin (skS.0 6 a a_1) emptyset)) a_2) (skS.0 5 a)
74.18/74.38	Clause #2572 (by superposition #[2568, 264]): ∀ (a a_1 a_2 : Iota),
74.18/74.38	  Or (Eq (in a (skS.0 5 a_1)) False) (Eq (in a (setadjoin (skS.0 5 a_1) (setadjoin (skS.0 6 a_1 a_2) emptyset))) False)
74.18/74.38	Clause #2612 (by superposition #[2572, 173]): ∀ (a a_1 a_2 : Iota),
74.18/74.38	  Or (Eq (in (skS.0 6 a a_1) (setadjoin (skS.0 5 a) (setadjoin (skS.0 6 a a_2) emptyset))) False) (Eq False True)
74.18/74.38	Clause #2615 (by clausification #[2612]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 6 a a_1) (setadjoin (skS.0 5 a) (setadjoin (skS.0 6 a a_2) emptyset))) False
74.18/74.38	Clause #2616 (by superposition #[2615, 61]): Eq False True
74.18/74.38	Clause #2617 (by clausification #[2616]): False
74.18/74.38	SZS output end Proof for theBenchmark.p
74.23/74.38	EOF