TSTP Solution File: CSR144^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 21:12:05 EDT 2023
% Result : Theorem 5.19s 5.37s
% Output : Proof 5.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR144^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 08:33:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 5.19/5.37 SZS status Theorem for theBenchmark.p
% 5.19/5.37 SZS output start Proof for theBenchmark.p
% 5.19/5.37 Clause #0 (by assumption #[]): Eq (inverse_THFTYPE_IIiioIIiioIoI husband_THFTYPE_IiioI wife_THFTYPE_IiioI) True
% 5.19/5.37 Clause #1 (by assumption #[]): Eq
% 5.19/5.37 (∀ (REL2 REL1 : Iota → Iota → Prop),
% 5.19/5.37 inverse_THFTYPE_IIiioIIiioIoI REL1 REL2 → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (REL2 INST2 INST1))
% 5.19/5.37 True
% 5.19/5.37 Clause #2 (by assumption #[]): Eq
% 5.19/5.37 (∀ (FORMULA : Prop) (AGENT : Iota),
% 5.19/5.37 believes_THFTYPE_IiooI AGENT FORMULA →
% 5.19/5.37 Exists fun TIME => holdsDuring_THFTYPE_IiooI TIME (considers_THFTYPE_IiooI AGENT FORMULA))
% 5.19/5.37 True
% 5.19/5.37 Clause #3 (by assumption #[]): Eq
% 5.19/5.37 (∀ (X : Iota),
% 5.19/5.37 Not
% 5.19/5.37 (Exists fun Z =>
% 5.19/5.37 holdsDuring_THFTYPE_IiooI Z (considers_THFTYPE_IiooI lMax_THFTYPE_i (wife_THFTYPE_IiioI X lMax_THFTYPE_i))))
% 5.19/5.37 True
% 5.19/5.37 Clause #4 (by assumption #[]): Eq (Not (Exists fun Z => Not (believes_THFTYPE_IiooI lMax_THFTYPE_i (husband_THFTYPE_IiioI lMax_THFTYPE_i Z)))) True
% 5.19/5.37 Clause #5 (by clausification #[4]): Eq (Exists fun Z => Not (believes_THFTYPE_IiooI lMax_THFTYPE_i (husband_THFTYPE_IiioI lMax_THFTYPE_i Z))) False
% 5.19/5.37 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (Not (believes_THFTYPE_IiooI lMax_THFTYPE_i (husband_THFTYPE_IiioI lMax_THFTYPE_i a))) False
% 5.19/5.37 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (believes_THFTYPE_IiooI lMax_THFTYPE_i (husband_THFTYPE_IiioI lMax_THFTYPE_i a)) True
% 5.19/5.37 Clause #8 (by identity loobHoist #[7]): ∀ (a : Iota),
% 5.19/5.37 Or (Eq (believes_THFTYPE_IiooI lMax_THFTYPE_i True) True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) False)
% 5.19/5.37 Clause #9 (by identity boolHoist #[7]): ∀ (a : Iota),
% 5.19/5.37 Or (Eq (believes_THFTYPE_IiooI lMax_THFTYPE_i False) True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.19/5.37 Clause #12 (by clausification #[2]): ∀ (a : Prop),
% 5.19/5.37 Eq
% 5.19/5.37 (∀ (AGENT : Iota),
% 5.19/5.37 believes_THFTYPE_IiooI AGENT a →
% 5.19/5.37 Exists fun TIME => holdsDuring_THFTYPE_IiooI TIME (considers_THFTYPE_IiooI AGENT a))
% 5.19/5.37 True
% 5.19/5.37 Clause #13 (by clausification #[12]): ∀ (a : Iota) (a_1 : Prop),
% 5.19/5.37 Eq (believes_THFTYPE_IiooI a a_1 → Exists fun TIME => holdsDuring_THFTYPE_IiooI TIME (considers_THFTYPE_IiooI a a_1))
% 5.19/5.37 True
% 5.19/5.37 Clause #14 (by clausification #[13]): ∀ (a : Iota) (a_1 : Prop),
% 5.19/5.37 Or (Eq (believes_THFTYPE_IiooI a a_1) False)
% 5.19/5.37 (Eq (Exists fun TIME => holdsDuring_THFTYPE_IiooI TIME (considers_THFTYPE_IiooI a a_1)) True)
% 5.19/5.37 Clause #15 (by clausification #[14]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.19/5.37 Or (Eq (believes_THFTYPE_IiooI a a_1) False)
% 5.19/5.37 (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a a_1 a_2) (considers_THFTYPE_IiooI a a_1)) True)
% 5.19/5.37 Clause #16 (by identity loobHoist #[15]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.19/5.37 Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a a_1 a_2) (considers_THFTYPE_IiooI a a_1)) True)
% 5.19/5.37 (Or (Eq (believes_THFTYPE_IiooI a True) False) (Eq a_1 False))
% 5.19/5.37 Clause #17 (by identity boolHoist #[15]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.19/5.37 Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a a_1 a_2) (considers_THFTYPE_IiooI a a_1)) True)
% 5.19/5.37 (Or (Eq (believes_THFTYPE_IiooI a False) False) (Eq a_1 True))
% 5.19/5.37 Clause #18 (by identity loobHoist #[16]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.19/5.37 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.19/5.37 (Or (Eq a_1 False)
% 5.19/5.37 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a a_1 a_2) True) True) (Eq (considers_THFTYPE_IiooI a a_1) False)))
% 5.19/5.37 Clause #19 (by identity boolHoist #[16]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.19/5.37 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.19/5.37 (Or (Eq a_1 False)
% 5.19/5.37 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a a_1 a_2) False) True) (Eq (considers_THFTYPE_IiooI a a_1) True)))
% 5.19/5.37 Clause #20 (by identity loobHoist #[18]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.19/5.37 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.19/5.37 (Or (Eq a_1 False)
% 5.19/5.37 (Or (Eq (considers_THFTYPE_IiooI a a_1) False)
% 5.19/5.37 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a True a_2) True) True) (Eq a_1 False))))
% 5.19/5.37 Clause #22 (by eliminate duplicate literals #[20]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.19/5.37 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.19/5.37 (Or (Eq a_1 False)
% 5.19/5.39 (Or (Eq (considers_THFTYPE_IiooI a a_1) False) (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a True a_2) True) True)))
% 5.19/5.39 Clause #23 (by identity loobHoist #[22]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.19/5.39 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.19/5.39 (Or (Eq a_1 False)
% 5.19/5.39 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a True a_2) True) True)
% 5.19/5.39 (Or (Eq (considers_THFTYPE_IiooI a True) False) (Eq a_1 False))))
% 5.19/5.39 Clause #25 (by eliminate duplicate literals #[23]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.19/5.39 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.19/5.39 (Or (Eq a_1 False)
% 5.19/5.39 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a True a_2) True) True) (Eq (considers_THFTYPE_IiooI a True) False)))
% 5.19/5.39 Clause #26 (by clausification #[1]): ∀ (a : Iota → Iota → Prop),
% 5.19/5.39 Eq
% 5.19/5.39 (∀ (REL1 : Iota → Iota → Prop),
% 5.19/5.39 inverse_THFTYPE_IIiioIIiioIoI REL1 a → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (a INST2 INST1))
% 5.19/5.39 True
% 5.19/5.39 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota → Iota → Prop),
% 5.19/5.39 Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1 → ∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True
% 5.19/5.39 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota → Iota → Prop),
% 5.19/5.39 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False)
% 5.19/5.39 (Eq (∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True)
% 5.19/5.39 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota),
% 5.19/5.39 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (∀ (INST2 : Iota), Iff (a a_2 INST2) (a_1 INST2 a_2)) True)
% 5.19/5.39 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota),
% 5.19/5.39 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (Iff (a a_2 a_3) (a_1 a_3 a_2)) True)
% 5.19/5.39 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota),
% 5.19/5.39 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Or (Eq (a a_2 a_3) True) (Eq (a_1 a_3 a_2) False))
% 5.19/5.39 Clause #32 (by clausification #[30]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota),
% 5.19/5.39 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Or (Eq (a a_2 a_3) False) (Eq (a_1 a_3 a_2) True))
% 5.19/5.39 Clause #33 (by superposition #[31, 0]): ∀ (a a_1 : Iota),
% 5.19/5.39 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) True)
% 5.19/5.39 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) False) (Eq False True))
% 5.19/5.39 Clause #34 (by superposition #[32, 0]): ∀ (a a_1 : Iota),
% 5.19/5.39 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) False)
% 5.19/5.39 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) True) (Eq False True))
% 5.19/5.39 Clause #35 (by clausification #[3]): ∀ (a : Iota),
% 5.19/5.39 Eq
% 5.19/5.39 (Not
% 5.19/5.39 (Exists fun Z =>
% 5.19/5.39 holdsDuring_THFTYPE_IiooI Z (considers_THFTYPE_IiooI lMax_THFTYPE_i (wife_THFTYPE_IiioI a lMax_THFTYPE_i))))
% 5.19/5.39 True
% 5.19/5.39 Clause #36 (by clausification #[35]): ∀ (a : Iota),
% 5.19/5.39 Eq
% 5.19/5.39 (Exists fun Z =>
% 5.19/5.39 holdsDuring_THFTYPE_IiooI Z (considers_THFTYPE_IiooI lMax_THFTYPE_i (wife_THFTYPE_IiioI a lMax_THFTYPE_i)))
% 5.19/5.39 False
% 5.19/5.39 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota),
% 5.19/5.39 Eq (holdsDuring_THFTYPE_IiooI a (considers_THFTYPE_IiooI lMax_THFTYPE_i (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i)))
% 5.19/5.39 False
% 5.19/5.39 Clause #38 (by identity loobHoist #[37]): ∀ (a a_1 : Iota),
% 5.19/5.39 Or (Eq (holdsDuring_THFTYPE_IiooI a True) False)
% 5.19/5.39 (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i)) False)
% 5.19/5.39 Clause #39 (by identity boolHoist #[37]): ∀ (a a_1 : Iota),
% 5.19/5.39 Or (Eq (holdsDuring_THFTYPE_IiooI a False) False)
% 5.19/5.39 (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i)) True)
% 5.19/5.39 Clause #40 (by identity loobHoist #[38]): ∀ (a a_1 : Iota),
% 5.19/5.39 Or (Eq (holdsDuring_THFTYPE_IiooI a True) False)
% 5.19/5.39 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) False) (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) False))
% 5.19/5.39 Clause #41 (by identity boolHoist #[38]): ∀ (a a_1 : Iota),
% 5.19/5.39 Or (Eq (holdsDuring_THFTYPE_IiooI a True) False)
% 5.19/5.39 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) False) (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True))
% 5.19/5.39 Clause #42 (by identity loobHoist #[39]): ∀ (a a_1 : Iota),
% 5.24/5.41 Or (Eq (holdsDuring_THFTYPE_IiooI a False) False)
% 5.24/5.41 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True) (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) False))
% 5.24/5.41 Clause #43 (by identity boolHoist #[39]): ∀ (a a_1 : Iota),
% 5.24/5.41 Or (Eq (holdsDuring_THFTYPE_IiooI a False) False)
% 5.24/5.41 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True) (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True))
% 5.24/5.41 Clause #44 (by identity loobHoist #[17]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.41 (Or (Eq a_1 True)
% 5.24/5.41 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a a_1 a_2) True) True) (Eq (considers_THFTYPE_IiooI a a_1) False)))
% 5.24/5.41 Clause #45 (by identity boolHoist #[17]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.41 (Or (Eq a_1 True)
% 5.24/5.41 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a a_1 a_2) False) True) (Eq (considers_THFTYPE_IiooI a a_1) True)))
% 5.24/5.41 Clause #47 (by identity boolHoist #[44]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.41 (Or (Eq a_1 True)
% 5.24/5.41 (Or (Eq (considers_THFTYPE_IiooI a a_1) False)
% 5.24/5.41 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a False a_2) True) True) (Eq a_1 True))))
% 5.24/5.41 Clause #48 (by betaEtaReduce #[34]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) False) (Or (Eq (wife_THFTYPE_IiioI a_1 a) True) (Eq False True))
% 5.24/5.41 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) False) (Eq (wife_THFTYPE_IiioI a_1 a) True)
% 5.24/5.41 Clause #52 (by betaEtaReduce #[33]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Or (Eq (wife_THFTYPE_IiioI a_1 a) False) (Eq False True))
% 5.24/5.41 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Eq (wife_THFTYPE_IiioI a_1 a) False)
% 5.24/5.41 Clause #57 (by identity boolHoist #[45]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.41 (Or (Eq a_1 True)
% 5.24/5.41 (Or (Eq (considers_THFTYPE_IiooI a a_1) True)
% 5.24/5.41 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a False a_2) False) True) (Eq a_1 True))))
% 5.24/5.41 Clause #58 (by identity loobHoist #[19]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.24/5.41 (Or (Eq a_1 False)
% 5.24/5.41 (Or (Eq (considers_THFTYPE_IiooI a a_1) True)
% 5.24/5.41 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a True a_2) False) True) (Eq a_1 False))))
% 5.24/5.41 Clause #60 (by eliminate duplicate literals #[58]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.24/5.41 (Or (Eq a_1 False)
% 5.24/5.41 (Or (Eq (considers_THFTYPE_IiooI a a_1) True) (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a True a_2) False) True)))
% 5.24/5.41 Clause #61 (by identity loobHoist #[60]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.24/5.41 (Or (Eq a_1 False)
% 5.24/5.41 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a True a_2) False) True)
% 5.24/5.41 (Or (Eq (considers_THFTYPE_IiooI a True) True) (Eq a_1 False))))
% 5.24/5.41 Clause #63 (by eliminate duplicate literals #[61]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a True) False)
% 5.24/5.41 (Or (Eq a_1 False)
% 5.24/5.41 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a True a_2) False) True) (Eq (considers_THFTYPE_IiooI a True) True)))
% 5.24/5.41 Clause #64 (by eliminate duplicate literals #[47]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.41 (Or (Eq a_1 True)
% 5.24/5.41 (Or (Eq (considers_THFTYPE_IiooI a a_1) False) (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a False a_2) True) True)))
% 5.24/5.41 Clause #66 (by identity boolHoist #[64]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.41 (Or (Eq a_1 True)
% 5.24/5.41 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a False a_2) True) True)
% 5.24/5.41 (Or (Eq (considers_THFTYPE_IiooI a False) False) (Eq a_1 True))))
% 5.24/5.41 Clause #67 (by eliminate duplicate literals #[66]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.41 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.41 (Or (Eq a_1 True)
% 5.24/5.43 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a False a_2) True) True)
% 5.24/5.43 (Eq (considers_THFTYPE_IiooI a False) False)))
% 5.24/5.43 Clause #68 (by superposition #[67, 9]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.24/5.43 Or (Eq a True)
% 5.24/5.43 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i False a_1) True) True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) False)
% 5.24/5.43 (Or (Eq False True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True))))
% 5.24/5.43 Clause #73 (by clausification #[68]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.24/5.43 Or (Eq a True)
% 5.24/5.43 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i False a_1) True) True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) False)
% 5.24/5.43 (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)))
% 5.24/5.43 Clause #74 (by eliminate duplicate literals #[57]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.43 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.43 (Or (Eq a_1 True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI a a_1) True) (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a False a_2) False) True)))
% 5.24/5.43 Clause #76 (by identity boolHoist #[74]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.43 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.43 (Or (Eq a_1 True)
% 5.24/5.43 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a False a_2) False) True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI a False) True) (Eq a_1 True))))
% 5.24/5.43 Clause #77 (by eliminate duplicate literals #[76]): ∀ (a : Iota) (a_1 : Prop) (a_2 : Iota),
% 5.24/5.43 Or (Eq (believes_THFTYPE_IiooI a False) False)
% 5.24/5.43 (Or (Eq a_1 True)
% 5.24/5.43 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 a False a_2) False) True)
% 5.24/5.43 (Eq (considers_THFTYPE_IiooI a False) True)))
% 5.24/5.43 Clause #78 (by superposition #[77, 9]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.24/5.43 Or (Eq a True)
% 5.24/5.43 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i False a_1) False) True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Or (Eq False True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True))))
% 5.24/5.43 Clause #81 (by clausification #[78]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.24/5.43 Or (Eq a True)
% 5.24/5.43 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i False a_1) False) True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)))
% 5.24/5.43 Clause #96 (by superposition #[81, 43]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.24/5.43 Or (Eq a True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_1) True)
% 5.24/5.43 (Or (Eq True False)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Eq (wife_THFTYPE_IiioI a_2 lMax_THFTYPE_i) True)))))
% 5.24/5.43 Clause #104 (by clausification #[96]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.24/5.43 Or (Eq a True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_1) True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Eq (wife_THFTYPE_IiioI a_2 lMax_THFTYPE_i) True))))
% 5.24/5.43 Clause #105 (by eliminate duplicate literals #[104]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.24/5.43 Or (Eq a True)
% 5.24/5.43 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_1) True) (Eq (wife_THFTYPE_IiioI a_2 lMax_THFTYPE_i) True)))
% 5.24/5.43 Clause #130 (by equality factoring #[105]): ∀ (a a_1 : Iota),
% 5.24/5.43 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.43 (Or (Ne True True) (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True)))
% 5.24/5.43 Clause #131 (by clausification #[130]): ∀ (a a_1 : Iota),
% 5.24/5.43 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.43 (Or (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True) (Or (Eq True False) (Eq True False))))
% 5.24/5.43 Clause #133 (by clausification #[131]): ∀ (a a_1 : Iota),
% 5.24/5.43 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.43 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.43 (Or (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True) (Eq True False)))
% 5.24/5.45 Clause #134 (by clausification #[133]): ∀ (a a_1 : Iota),
% 5.24/5.45 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True) (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True))
% 5.24/5.45 Clause #140 (by superposition #[134, 53]): ∀ (a a_1 : Iota),
% 5.24/5.45 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_1) True) (Eq True False)))
% 5.24/5.45 Clause #141 (by clausification #[140]): ∀ (a a_1 : Iota),
% 5.24/5.45 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_1) True))
% 5.24/5.45 Clause #147 (by equality factoring #[141]): ∀ (a : Iota),
% 5.24/5.45 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.45 (Or (Ne True True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True))
% 5.24/5.45 Clause #148 (by clausification #[147]): ∀ (a : Iota),
% 5.24/5.45 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True) (Or (Eq True False) (Eq True False)))
% 5.24/5.45 Clause #150 (by clausification #[148]): ∀ (a : Iota),
% 5.24/5.45 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True) (Eq True False))
% 5.24/5.45 Clause #151 (by clausification #[150]): ∀ (a : Iota),
% 5.24/5.45 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.45 Clause #154 (by superposition #[151, 73]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 : Iota),
% 5.24/5.45 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.45 (Or (Eq a_1 True)
% 5.24/5.45 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i False a_2) True) True)
% 5.24/5.45 (Or (Eq True False) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_3) True))))
% 5.24/5.45 Clause #156 (by superposition #[151, 49]): ∀ (a : Iota),
% 5.24/5.45 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True)
% 5.24/5.45 (Or (Eq True False) (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True))
% 5.24/5.45 Clause #157 (by clausification #[156]): ∀ (a : Iota),
% 5.24/5.45 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) True) (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True)
% 5.24/5.45 Clause #245 (by clausification #[154]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 : Iota),
% 5.24/5.45 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.45 (Or (Eq a_1 True)
% 5.24/5.45 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i False a_2) True) True)
% 5.24/5.45 (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_3) True)))
% 5.24/5.45 Clause #261 (by superposition #[245, 41]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 : Iota),
% 5.24/5.45 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.45 (Or (Eq a_1 True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)
% 5.24/5.45 (Or (Eq True False)
% 5.24/5.45 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) False)
% 5.24/5.45 (Eq (wife_THFTYPE_IiioI a_3 lMax_THFTYPE_i) True)))))
% 5.24/5.45 Clause #270 (by clausification #[261]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 : Iota),
% 5.24/5.45 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.45 (Or (Eq a_1 True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)
% 5.24/5.45 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i False) False)
% 5.24/5.45 (Eq (wife_THFTYPE_IiioI a_3 lMax_THFTYPE_i) True))))
% 5.24/5.45 Clause #272 (by superposition #[270, 157]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 a_4 : Iota),
% 5.24/5.45 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.45 (Or (Eq a_1 True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)
% 5.24/5.45 (Or (Eq (wife_THFTYPE_IiioI a_3 lMax_THFTYPE_i) True)
% 5.24/5.45 (Or (Eq False True) (Eq (wife_THFTYPE_IiioI a_4 lMax_THFTYPE_i) True)))))
% 5.24/5.45 Clause #273 (by clausification #[272]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 a_4 : Iota),
% 5.24/5.45 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.24/5.45 (Or (Eq a_1 True)
% 5.24/5.45 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)
% 5.24/5.45 (Or (Eq (wife_THFTYPE_IiioI a_3 lMax_THFTYPE_i) True) (Eq (wife_THFTYPE_IiioI a_4 lMax_THFTYPE_i) True))))
% 5.24/5.45 Clause #300 (by equality factoring #[273]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 : Iota),
% 5.29/5.46 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.29/5.46 (Or (Eq a_1 True)
% 5.29/5.46 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)
% 5.29/5.46 (Or (Ne True True) (Eq (wife_THFTYPE_IiioI a_3 lMax_THFTYPE_i) True))))
% 5.29/5.46 Clause #301 (by clausification #[300]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 : Iota),
% 5.29/5.46 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.29/5.46 (Or (Eq a_1 True)
% 5.29/5.46 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)
% 5.29/5.46 (Or (Eq (wife_THFTYPE_IiioI a_3 lMax_THFTYPE_i) True) (Or (Eq True False) (Eq True False)))))
% 5.29/5.46 Clause #303 (by clausification #[301]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 : Iota),
% 5.29/5.46 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.29/5.46 (Or (Eq a_1 True)
% 5.29/5.46 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)
% 5.29/5.46 (Or (Eq (wife_THFTYPE_IiioI a_3 lMax_THFTYPE_i) True) (Eq True False))))
% 5.29/5.46 Clause #304 (by clausification #[303]): ∀ (a : Iota) (a_1 : Prop) (a_2 a_3 : Iota),
% 5.29/5.46 Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True)
% 5.29/5.46 (Or (Eq a_1 True)
% 5.29/5.46 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True) (Eq (wife_THFTYPE_IiioI a_3 lMax_THFTYPE_i) True)))
% 5.29/5.46 Clause #327 (by equality factoring #[304]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.29/5.46 Or (Eq a True)
% 5.29/5.46 (Or (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True)
% 5.29/5.46 (Or (Ne True True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True)))
% 5.29/5.46 Clause #330 (by clausification #[327]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.29/5.46 Or (Eq a True)
% 5.29/5.46 (Or (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True)
% 5.29/5.46 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True) (Or (Eq True False) (Eq True False))))
% 5.29/5.46 Clause #332 (by clausification #[330]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.29/5.46 Or (Eq a True)
% 5.29/5.46 (Or (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True)
% 5.29/5.46 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True) (Eq True False)))
% 5.29/5.46 Clause #333 (by clausification #[332]): ∀ (a : Prop) (a_1 a_2 : Iota),
% 5.29/5.46 Or (Eq a True)
% 5.29/5.46 (Or (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_2) True))
% 5.29/5.47 Clause #355 (by equality factoring #[333]): ∀ (a a_1 : Iota),
% 5.29/5.47 Or (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True)
% 5.29/5.47 (Or (Ne True True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_1) True))
% 5.29/5.47 Clause #357 (by clausification #[355]): ∀ (a a_1 : Iota),
% 5.29/5.47 Or (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True)
% 5.29/5.47 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_1) True) (Or (Eq True False) (Eq True False)))
% 5.29/5.47 Clause #359 (by clausification #[357]): ∀ (a a_1 : Iota),
% 5.29/5.47 Or (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True)
% 5.29/5.47 (Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_1) True) (Eq True False))
% 5.29/5.47 Clause #360 (by clausification #[359]): ∀ (a a_1 : Iota),
% 5.29/5.47 Or (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True) (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a_1) True)
% 5.29/5.47 Clause #363 (by superposition #[360, 49]): ∀ (a a_1 : Iota),
% 5.29/5.47 Or (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True)
% 5.29/5.47 (Or (Eq True False) (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True))
% 5.29/5.47 Clause #364 (by clausification #[363]): ∀ (a a_1 : Iota), Or (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True) (Eq (wife_THFTYPE_IiioI a_1 lMax_THFTYPE_i) True)
% 5.29/5.47 Clause #365 (by equality factoring #[364]): ∀ (a : Iota), Or (Ne True True) (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True)
% 5.29/5.47 Clause #366 (by clausification #[365]): ∀ (a : Iota), Or (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True) (Or (Eq True False) (Eq True False))
% 5.29/5.47 Clause #368 (by clausification #[366]): ∀ (a : Iota), Or (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True) (Eq True False)
% 5.29/5.47 Clause #369 (by clausification #[368]): ∀ (a : Iota), Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) True
% 5.29/5.47 Clause #370 (by superposition #[369, 53]): ∀ (a : Iota), Or (Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True) (Eq True False)
% 5.29/5.47 Clause #371 (by clausification #[370]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI lMax_THFTYPE_i a) True
% 5.29/5.47 Clause #372 (by superposition #[371, 8]): Or (Eq (believes_THFTYPE_IiooI lMax_THFTYPE_i True) True) (Eq True False)
% 5.29/5.47 Clause #375 (by clausification #[372]): Eq (believes_THFTYPE_IiooI lMax_THFTYPE_i True) True
% 5.29/5.48 Clause #378 (by superposition #[375, 25]): ∀ (a : Prop) (a_1 : Iota),
% 5.29/5.48 Or (Eq True False)
% 5.29/5.48 (Or (Eq a False)
% 5.29/5.48 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i True a_1) True) True)
% 5.29/5.48 (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) False)))
% 5.29/5.48 Clause #379 (by superposition #[375, 63]): ∀ (a : Prop) (a_1 : Iota),
% 5.29/5.48 Or (Eq True False)
% 5.29/5.48 (Or (Eq a False)
% 5.29/5.48 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i True a_1) False) True)
% 5.29/5.48 (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True)))
% 5.29/5.48 Clause #462 (by clausification #[379]): ∀ (a : Prop) (a_1 : Iota),
% 5.29/5.48 Or (Eq a False)
% 5.29/5.48 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i True a_1) False) True)
% 5.29/5.48 (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True))
% 5.29/5.48 Clause #464 (by falseElim #[462]): ∀ (a : Iota),
% 5.29/5.48 Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i True a) False) True)
% 5.29/5.48 (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True)
% 5.29/5.48 Clause #465 (by superposition #[464, 42]): ∀ (a : Iota),
% 5.29/5.48 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True)
% 5.29/5.48 (Or (Eq True False)
% 5.29/5.48 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True) (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) False)))
% 5.29/5.48 Clause #466 (by clausification #[465]): ∀ (a : Iota),
% 5.29/5.48 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True)
% 5.29/5.48 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True) (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) False))
% 5.29/5.48 Clause #467 (by eliminate duplicate literals #[466]): ∀ (a : Iota),
% 5.29/5.48 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True) (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) False)
% 5.29/5.48 Clause #468 (by superposition #[467, 369]): Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True) (Eq False True)
% 5.29/5.48 Clause #470 (by clausification #[468]): Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) True
% 5.29/5.48 Clause #472 (by clausification #[378]): ∀ (a : Prop) (a_1 : Iota),
% 5.29/5.48 Or (Eq a False)
% 5.29/5.48 (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i True a_1) True) True)
% 5.29/5.48 (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) False))
% 5.29/5.48 Clause #473 (by forward demodulation #[472, 470]): ∀ (a : Prop) (a_1 : Iota),
% 5.29/5.48 Or (Eq a False) (Or (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i True a_1) True) True) (Eq True False))
% 5.29/5.48 Clause #474 (by clausification #[473]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a False) (Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i True a_1) True) True)
% 5.29/5.48 Clause #476 (by falseElim #[474]): ∀ (a : Iota), Eq (holdsDuring_THFTYPE_IiooI (skS.0 0 lMax_THFTYPE_i True a) True) True
% 5.29/5.48 Clause #477 (by superposition #[476, 40]): ∀ (a : Iota),
% 5.29/5.48 Or (Eq True False)
% 5.29/5.48 (Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) False) (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) False))
% 5.29/5.48 Clause #480 (by clausification #[477]): ∀ (a : Iota),
% 5.29/5.48 Or (Eq (considers_THFTYPE_IiooI lMax_THFTYPE_i True) False) (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) False)
% 5.29/5.48 Clause #481 (by superposition #[480, 470]): ∀ (a : Iota), Or (Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) False) (Eq False True)
% 5.29/5.48 Clause #482 (by clausification #[481]): ∀ (a : Iota), Eq (wife_THFTYPE_IiioI a lMax_THFTYPE_i) False
% 5.29/5.49 Clause #483 (by superposition #[482, 369]): Eq False True
% 5.29/5.49 Clause #484 (by clausification #[483]): False
% 5.29/5.49 SZS output end Proof for theBenchmark.p
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