TSTP Solution File: CSR130^2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR130^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 10.08s 10.29s
% Output : Proof 10.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR130^2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n018.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
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 07:54:01 EDT 2023
% 0.14/0.35 % CPUTime :
% 10.08/10.29 SZS status Theorem for theBenchmark.p
% 10.08/10.29 SZS output start Proof for theBenchmark.p
% 10.08/10.29 Clause #3 (by assumption #[]): Eq
% 10.08/10.29 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 10.08/10.29 (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))
% 10.08/10.29 True
% 10.08/10.29 Clause #6 (by assumption #[]): Eq
% 10.08/10.29 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 10.08/10.29 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i)))
% 10.08/10.29 True
% 10.08/10.29 Clause #8 (by assumption #[]): Eq
% 10.08/10.29 (∀ (TIME : Iota) (SITUATION : Prop),
% 10.08/10.29 holdsDuring_THFTYPE_IiooI TIME (Not SITUATION) → Not (holdsDuring_THFTYPE_IiooI TIME SITUATION))
% 10.08/10.29 True
% 10.08/10.29 Clause #9 (by assumption #[]): Eq
% 10.08/10.29 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 10.08/10.29 (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i))
% 10.08/10.29 True
% 10.08/10.29 Clause #61 (by assumption #[]): Eq
% 10.08/10.29 (Not
% 10.08/10.29 (Exists fun R =>
% 10.08/10.29 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 10.08/10.29 (And (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i))
% 10.08/10.29 (Not (∀ (A B : Iota), R A B)))))
% 10.08/10.29 True
% 10.08/10.29 Clause #75 (by identity boolHoist #[3]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 10.08/10.29 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 10.08/10.29 Clause #86 (by identity loobHoist #[6]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True)
% 10.08/10.29 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i)) False)
% 10.08/10.29 Clause #87 (by identity boolHoist #[6]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 10.08/10.29 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i)) True)
% 10.08/10.29 Clause #88 (by clausification #[86]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True)
% 10.08/10.29 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.08/10.29 Clause #100 (by identity loobHoist #[9]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True)
% 10.08/10.29 (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i) False)
% 10.08/10.29 Clause #101 (by identity boolHoist #[9]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 10.08/10.29 (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i) True)
% 10.08/10.29 Clause #102 (by clausification #[8]): ∀ (a : Iota),
% 10.08/10.29 Eq (∀ (SITUATION : Prop), holdsDuring_THFTYPE_IiooI a (Not SITUATION) → Not (holdsDuring_THFTYPE_IiooI a SITUATION))
% 10.08/10.29 True
% 10.08/10.29 Clause #103 (by clausification #[102]): ∀ (a : Iota) (a_1 : Prop), Eq (holdsDuring_THFTYPE_IiooI a (Not a_1) → Not (holdsDuring_THFTYPE_IiooI a a_1)) True
% 10.08/10.29 Clause #104 (by clausification #[103]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.29 Or (Eq (holdsDuring_THFTYPE_IiooI a (Not a_1)) False) (Eq (Not (holdsDuring_THFTYPE_IiooI a a_1)) True)
% 10.08/10.29 Clause #105 (by clausification #[104]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.29 Or (Eq (holdsDuring_THFTYPE_IiooI a (Not a_1)) False) (Eq (holdsDuring_THFTYPE_IiooI a a_1) False)
% 10.08/10.29 Clause #106 (by identity loobHoist #[105]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.29 Or (Eq (holdsDuring_THFTYPE_IiooI a a_1) False)
% 10.08/10.29 (Or (Eq (holdsDuring_THFTYPE_IiooI a True) False) (Eq (Not a_1) False))
% 10.08/10.29 Clause #107 (by identity boolHoist #[105]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.29 Or (Eq (holdsDuring_THFTYPE_IiooI a a_1) False)
% 10.08/10.29 (Or (Eq (holdsDuring_THFTYPE_IiooI a False) False) (Eq (Not a_1) True))
% 10.08/10.29 Clause #108 (by clausification #[106]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.29 Or (Eq (holdsDuring_THFTYPE_IiooI a a_1) False) (Or (Eq (holdsDuring_THFTYPE_IiooI a True) False) (Eq a_1 True))
% 10.08/10.29 Clause #110 (by identity boolHoist #[108]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.29 Or (Eq (holdsDuring_THFTYPE_IiooI a True) False)
% 10.08/10.29 (Or (Eq a_1 True) (Or (Eq (holdsDuring_THFTYPE_IiooI a False) False) (Eq a_1 True)))
% 10.08/10.29 Clause #162 (by clausification #[87]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 10.08/10.29 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) False)
% 10.08/10.29 Clause #169 (by clausification #[107]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.29 Or (Eq (holdsDuring_THFTYPE_IiooI a a_1) False) (Or (Eq (holdsDuring_THFTYPE_IiooI a False) False) (Eq a_1 False))
% 10.08/10.29 Clause #170 (by identity loobHoist #[169]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI a False) False)
% 10.08/10.31 (Or (Eq a_1 False) (Or (Eq (holdsDuring_THFTYPE_IiooI a True) False) (Eq a_1 False)))
% 10.08/10.31 Clause #172 (by eliminate duplicate literals #[170]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI a False) False) (Or (Eq a_1 False) (Eq (holdsDuring_THFTYPE_IiooI a True) False))
% 10.08/10.31 Clause #176 (by superposition #[172, 75]): ∀ (a : Prop),
% 10.08/10.31 Or (Eq a False)
% 10.08/10.31 (Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 10.08/10.31 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)))
% 10.08/10.31 Clause #186 (by eliminate duplicate literals #[110]): ∀ (a : Iota) (a_1 : Prop),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI a True) False) (Or (Eq a_1 True) (Eq (holdsDuring_THFTYPE_IiooI a False) False))
% 10.08/10.31 Clause #208 (by clausification #[61]): Eq
% 10.08/10.31 (Exists fun R =>
% 10.08/10.31 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 10.08/10.31 (And (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), R A B))))
% 10.08/10.31 False
% 10.08/10.31 Clause #209 (by clausification #[208]): ∀ (a : Iota → Iota → Prop),
% 10.08/10.31 Eq
% 10.08/10.31 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 10.08/10.31 (And (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), a A B))))
% 10.08/10.31 False
% 10.08/10.31 Clause #210 (by identity loobHoist #[209]): ∀ (a : Iota → Iota → Prop),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 10.08/10.31 (Eq (And (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), a A B)))
% 10.08/10.31 False)
% 10.08/10.31 Clause #211 (by identity boolHoist #[209]): ∀ (a : Iota → Iota → Prop),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 10.08/10.31 (Eq (And (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), a A B)))
% 10.08/10.31 True)
% 10.08/10.31 Clause #212 (by clausification #[210]): ∀ (a : Iota → Iota → Prop),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 10.08/10.31 (Or (Eq (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) False)
% 10.08/10.31 (Eq (Not (∀ (A B : Iota), a A B)) False))
% 10.08/10.31 Clause #213 (by clausification #[212]): ∀ (a : Iota → Iota → Prop),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 10.08/10.31 (Or (Eq (Not (∀ (A B : Iota), a A B)) False)
% 10.08/10.31 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)))
% 10.08/10.31 Clause #214 (by clausification #[213]): ∀ (a : Iota → Iota → Prop),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 10.08/10.31 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 10.08/10.31 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (∀ (A B : Iota), a A B) True)))
% 10.08/10.31 Clause #215 (by clausification #[214]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 10.08/10.31 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 10.08/10.31 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (∀ (B : Iota), a a_1 B) True)))
% 10.08/10.31 Clause #216 (by clausification #[215]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 10.08/10.31 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 10.08/10.31 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 10.08/10.31 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a a_1 a_2) True)))
% 10.08/10.31 Clause #217 (by superposition #[216, 88]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 10.08/10.31 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 10.08/10.31 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 10.08/10.31 (Or (Eq (a a_1 a_2) True) (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True))))
% 10.08/10.31 Clause #382 (by clausification #[176]): ∀ (a : Prop),
% 10.08/10.31 Or (Eq a False)
% 10.08/10.31 (Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 10.08/10.31 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True))
% 10.17/10.33 Clause #397 (by falseElim #[382]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 10.17/10.33 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 10.17/10.33 Clause #477 (by clausification #[211]): ∀ (a : Iota → Iota → Prop),
% 10.17/10.33 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 10.17/10.33 (Eq (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) True)
% 10.17/10.33 Clause #491 (by clausification #[477]): ∀ (a : Iota → Iota → Prop),
% 10.17/10.33 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 10.17/10.33 (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 10.17/10.33 Clause #505 (by superposition #[491, 101]): ∀ (a : Iota → Iota → Prop),
% 10.17/10.33 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 10.17/10.33 (Or (Eq False True) (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i) True))
% 10.17/10.33 Clause #506 (by clausification #[505]): ∀ (a : Iota → Iota → Prop),
% 10.17/10.33 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i) True)
% 10.17/10.33 Clause #537 (by equality factoring #[506]): Or (Ne True True) (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i) True)
% 10.17/10.33 Clause #545 (by clausification #[537]): Or (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i) True) (Or (Eq True False) (Eq True False))
% 10.17/10.33 Clause #547 (by clausification #[545]): Or (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i) True) (Eq True False)
% 10.17/10.33 Clause #548 (by clausification #[547]): Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i) True
% 10.17/10.33 Clause #549 (by backward demodulation #[548, 100]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False)
% 10.17/10.33 Clause #553 (by clausification #[217]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 10.17/10.33 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 10.17/10.33 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 10.17/10.33 (Or (Eq (a a_1 a_2) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)))
% 10.17/10.33 Clause #611 (by fluidLoobHoist #[553]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 10.17/10.33 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 10.17/10.33 (Or (Eq (a a_1 a_2) True)
% 10.17/10.33 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.33 (Or (Eq True False) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False))))
% 10.17/10.33 Clause #612 (by clausification #[549]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True
% 10.17/10.33 Clause #617 (by superposition #[612, 397]): Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)
% 10.17/10.33 Clause #620 (by superposition #[612, 186]): ∀ (a : Prop),
% 10.17/10.33 Or (Eq True False)
% 10.17/10.33 (Or (Eq a True) (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False))
% 10.17/10.33 Clause #637 (by clausification #[617]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True
% 10.17/10.33 Clause #649 (by clausification #[620]): ∀ (a : Prop), Or (Eq a True) (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 10.17/10.33 Clause #977 (by clausification #[611]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 10.17/10.33 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 10.17/10.33 (Or (Eq (a a_1 a_2) True)
% 10.17/10.33 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)))
% 10.17/10.33 Clause #1029 (by fluidLoobHoist #[977]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 10.17/10.33 Or (Eq (a a_1 a_2) True)
% 10.17/10.33 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.33 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 10.17/10.33 (Or (Eq True False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False))))
% 10.17/10.33 Clause #1030 (by clausification #[1029]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 10.17/10.33 Or (Eq (a a_1 a_2) True)
% 10.17/10.33 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.33 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)))
% 10.17/10.33 Clause #1082 (by fluidLoobHoist #[1030]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 10.17/10.33 Or (Eq (a a_1 a_2) True)
% 10.17/10.33 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.36 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 10.17/10.36 (Or (Eq True False) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False))))
% 10.17/10.36 Clause #1084 (by clausification #[1082]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 10.17/10.36 Or (Eq (a a_1 a_2) True)
% 10.17/10.36 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.36 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)))
% 10.17/10.36 Clause #1085 (by superposition #[1084, 637]): ∀ (a a_1 : Iota),
% 10.17/10.36 Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) a a_1) True)
% 10.17/10.36 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.36 (Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 10.17/10.36 (Eq False True)))
% 10.17/10.36 Clause #1506 (by betaEtaReduce #[1085]): ∀ (a : Iota),
% 10.17/10.36 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)
% 10.17/10.36 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.36 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True)))
% 10.17/10.36 Clause #1507 (by clausification #[1506]): ∀ (a : Iota),
% 10.17/10.36 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)
% 10.17/10.36 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.36 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False))
% 10.17/10.36 Clause #1508 (by superposition #[1507, 637]): ∀ (a : Iota),
% 10.17/10.36 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)
% 10.17/10.36 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True) (Eq False True))
% 10.17/10.36 Clause #1526 (by clausification #[1508]): ∀ (a : Iota),
% 10.17/10.36 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.36 Clause #1528 (by equality factoring #[1526]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True)
% 10.17/10.36 Clause #1554 (by clausification #[1528]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True) (Or (Eq True False) (Eq True False))
% 10.17/10.36 Clause #1556 (by clausification #[1554]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True) (Eq True False)
% 10.17/10.36 Clause #1557 (by clausification #[1556]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) True
% 10.17/10.36 Clause #1558 (by backward demodulation #[1557, 162]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) (Eq True False)
% 10.17/10.36 Clause #1572 (by clausification #[1558]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True
% 10.17/10.36 Clause #1576 (by superposition #[1572, 649]): ∀ (a : Prop), Or (Eq a True) (Eq True False)
% 10.17/10.36 Clause #1582 (by clausification #[1576]): ∀ (a : Prop), Eq a True
% 10.17/10.36 Clause #1586 (by falseElim #[1582]): False
% 10.17/10.36 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------