TSTP Solution File: CSR130^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR130^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 21:11:59 EDT 2023
% Result : Theorem 4.93s 5.16s
% Output : Proof 5.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR130^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n007.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 : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 09:48:43 EDT 2023
% 0.14/0.34 % CPUTime :
% 4.93/5.16 SZS status Theorem for theBenchmark.p
% 4.93/5.16 SZS output start Proof for theBenchmark.p
% 4.93/5.16 Clause #2 (by assumption #[]): Eq
% 4.93/5.16 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 4.93/5.16 (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))
% 4.93/5.16 True
% 4.93/5.16 Clause #4 (by assumption #[]): Eq
% 4.93/5.16 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 4.93/5.16 (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i))
% 4.93/5.16 True
% 4.93/5.16 Clause #6 (by assumption #[]): Eq
% 4.93/5.16 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 4.93/5.16 (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i))
% 4.93/5.16 True
% 4.93/5.16 Clause #7 (by assumption #[]): Eq
% 4.93/5.16 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 4.93/5.16 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i)))
% 4.93/5.16 True
% 4.93/5.16 Clause #8 (by assumption #[]): Eq
% 4.93/5.16 (Not
% 4.93/5.16 (Exists fun R =>
% 4.93/5.16 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 4.93/5.16 (And (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i))
% 4.93/5.16 (Not (∀ (A B : Iota), R A B)))))
% 4.93/5.16 True
% 4.93/5.16 Clause #10 (by identity boolHoist #[6]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 4.93/5.16 (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True)
% 4.93/5.16 Clause #14 (by identity boolHoist #[2]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 4.93/5.16 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 4.93/5.16 Clause #17 (by identity loobHoist #[4]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True)
% 4.93/5.16 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 4.93/5.16 Clause #18 (by identity boolHoist #[4]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 4.93/5.16 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True)
% 4.93/5.16 Clause #24 (by identity boolHoist #[7]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 4.93/5.16 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i)) True)
% 4.93/5.16 Clause #26 (by clausification #[8]): Eq
% 4.93/5.16 (Exists fun R =>
% 4.93/5.16 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 4.93/5.16 (And (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), R A B))))
% 4.93/5.16 False
% 4.93/5.16 Clause #27 (by clausification #[26]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.16 Eq
% 4.93/5.16 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 4.93/5.16 (And (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), a A B))))
% 4.93/5.16 False
% 4.93/5.16 Clause #28 (by identity loobHoist #[27]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.16 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 4.93/5.16 (Eq (And (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), a A B)))
% 4.93/5.16 False)
% 4.93/5.16 Clause #29 (by identity boolHoist #[27]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.16 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.16 (Eq (And (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), a A B)))
% 4.93/5.16 True)
% 4.93/5.16 Clause #30 (by clausification #[28]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.16 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 4.93/5.16 (Or (Eq (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) False)
% 4.93/5.16 (Eq (Not (∀ (A B : Iota), a A B)) False))
% 4.93/5.16 Clause #31 (by clausification #[30]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.16 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 4.93/5.16 (Or (Eq (Not (∀ (A B : Iota), a A B)) False)
% 4.93/5.16 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)))
% 4.93/5.16 Clause #32 (by clausification #[31]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.16 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 4.93/5.16 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 4.93/5.16 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (∀ (A B : Iota), a A B) True)))
% 4.93/5.16 Clause #33 (by clausification #[32]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 4.93/5.18 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 4.93/5.18 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (∀ (B : Iota), a a_1 B) True)))
% 4.93/5.18 Clause #34 (by clausification #[33]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 4.93/5.18 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 4.93/5.18 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a a_1 a_2) True)))
% 4.93/5.18 Clause #36 (by clausification #[24]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 4.93/5.18 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) False)
% 4.93/5.18 Clause #37 (by clausification #[29]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.18 (Eq (Not (∀ (A B : Iota), a A B)) True)
% 4.93/5.18 Clause #38 (by clausification #[29]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.18 (Eq (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) True)
% 4.93/5.18 Clause #39 (by clausification #[37]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.18 (Eq (∀ (A B : Iota), a A B) False)
% 4.93/5.18 Clause #40 (by clausification #[39]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.18 (Eq (Not (∀ (B : Iota), a (skS.0 0 a a_1) B)) True)
% 4.93/5.18 Clause #41 (by clausification #[40]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.18 (Eq (∀ (B : Iota), a (skS.0 0 a a_1) B) False)
% 4.93/5.18 Clause #42 (by clausification #[41]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.18 (Eq (Not (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2))) True)
% 4.93/5.18 Clause #43 (by clausification #[42]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.18 (Eq (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) False)
% 4.93/5.18 Clause #45 (by superposition #[43, 10]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 4.93/5.18 Or (Eq (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) False)
% 4.93/5.18 (Or (Eq False True) (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True))
% 4.93/5.18 Clause #51 (by clausification #[38]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.18 (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True)
% 4.93/5.18 Clause #52 (by clausification #[38]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.18 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 4.93/5.18 (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 4.93/5.18 Clause #56 (by superposition #[51, 18]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.18 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True)
% 4.93/5.18 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True))
% 4.93/5.18 Clause #66 (by superposition #[52, 14]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.18 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 4.93/5.18 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True))
% 4.93/5.18 Clause #67 (by clausification #[56]): ∀ (a : Iota → Iota → Prop),
% 4.93/5.18 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True)
% 4.93/5.18 Clause #75 (by equality factoring #[67]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True)
% 4.93/5.18 Clause #83 (by clausification #[75]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False))
% 4.93/5.18 Clause #85 (by clausification #[83]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False)
% 4.93/5.18 Clause #86 (by clausification #[85]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True
% 5.01/5.20 Clause #87 (by backward demodulation #[86, 17]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False)
% 5.01/5.20 Clause #103 (by clausification #[87]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True
% 5.01/5.20 Clause #104 (by superposition #[103, 34]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 5.01/5.20 Or (Eq True False)
% 5.01/5.20 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 5.01/5.20 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a a_1 a_2) True)))
% 5.01/5.20 Clause #165 (by clausification #[45]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 5.01/5.20 Or (Eq (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) False) (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True)
% 5.01/5.20 Clause #166 (by superposition #[165, 86]): Or (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True) (Eq False True)
% 5.01/5.20 Clause #215 (by clausification #[166]): Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True
% 5.01/5.20 Clause #336 (by clausification #[66]): ∀ (a : Iota → Iota → Prop),
% 5.01/5.20 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 5.01/5.20 Clause #342 (by equality factoring #[336]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 5.01/5.20 Clause #409 (by clausification #[342]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False))
% 5.01/5.20 Clause #411 (by clausification #[409]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False)
% 5.01/5.20 Clause #412 (by clausification #[411]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True
% 5.01/5.20 Clause #446 (by clausification #[104]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 5.01/5.20 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 5.01/5.20 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a a_1 a_2) True))
% 5.01/5.20 Clause #459 (by fluidLoobHoist #[446]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 5.01/5.20 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 5.01/5.20 (Or (Eq (a a_1 a_2) True) (Or (Eq True False) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)))
% 5.01/5.20 Clause #460 (by clausification #[459]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 5.01/5.20 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 5.01/5.20 (Or (Eq (a a_1 a_2) True) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False))
% 5.01/5.20 Clause #474 (by superposition #[460, 412]): ∀ (a a_1 : Iota),
% 5.01/5.20 Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) a a_1) True)
% 5.01/5.20 (Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True))
% 5.01/5.20 Clause #580 (by betaEtaReduce #[474]): ∀ (a : Iota),
% 5.01/5.20 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)
% 5.01/5.20 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True))
% 5.01/5.20 Clause #581 (by clausification #[580]): ∀ (a : Iota),
% 5.01/5.20 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 5.01/5.20 Clause #582 (by superposition #[581, 412]): ∀ (a : Iota), Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq False True)
% 5.01/5.20 Clause #599 (by clausification #[582]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True
% 5.01/5.20 Clause #600 (by backward demodulation #[599, 36]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) (Eq True False)
% 5.01/5.20 Clause #610 (by clausification #[600]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True
% 5.01/5.20 Clause #612 (by superposition #[610, 51]): ∀ (a : Iota → Iota → Prop), Or (Eq True False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True)
% 5.01/5.20 Clause #621 (by clausification #[612]): ∀ (a : Iota → Iota → Prop), Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True
% 5.01/5.20 Clause #622 (by eqHoist #[621]): ∀ (a : Iota → Iota → Sort _abstMVar.0) (a_1 a_2 : (x x_1 : Iota) → a x x_1),
% 5.01/5.20 Or (Eq False True) (Eq (a_1 lMary_THFTYPE_i lBill_THFTYPE_i) (a_2 lMary_THFTYPE_i lBill_THFTYPE_i))
% 5.01/5.20 Clause #629 (by clausification #[622]): ∀ (a : Iota → Iota → Sort _abstMVar.0) (a_1 a_2 : (x x_1 : Iota) → a x x_1),
% 5.01/5.21 Eq (a_1 lMary_THFTYPE_i lBill_THFTYPE_i) (a_2 lMary_THFTYPE_i lBill_THFTYPE_i)
% 5.01/5.21 Clause #630 (by superposition #[629, 215]): ∀ (a : (x x_1 : Iota) → (fun x x => Prop) x x_1), Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True
% 5.01/5.21 Clause #631 (by superposition #[629, 215]): ∀ (a : (x x_1 : Iota) → (fun x x => Iota) x x_1),
% 5.01/5.21 Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i (a lMary_THFTYPE_i lBill_THFTYPE_i)) True
% 5.01/5.21 Clause #666 (by fluidSup #[631, 630]): ∀ (a : Prop), Eq ((fun _ => a) True) True
% 5.01/5.21 Clause #671 (by betaEtaReduce #[666]): ∀ (a : Prop), Eq a True
% 5.01/5.21 Clause #672 (by falseElim #[671]): False
% 5.01/5.21 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------