TSTP Solution File: CSR143^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR143^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n010.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 21:12:04 EDT 2023
% Result : Theorem 3.87s 4.05s
% Output : Proof 3.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR143^1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 11:03:19 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.87/4.05 SZS status Theorem for theBenchmark.p
% 3.87/4.05 SZS output start Proof for theBenchmark.p
% 3.87/4.05 Clause #0 (by assumption #[]): Eq (inverse_THFTYPE_IIiioIIiioIoI husband_THFTYPE_IiioI wife_THFTYPE_IiioI) True
% 3.87/4.05 Clause #1 (by assumption #[]): Eq
% 3.87/4.05 (∀ (REL2 REL1 : Iota → Iota → Prop),
% 3.87/4.05 inverse_THFTYPE_IIiioIIiioIoI REL1 REL2 → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (REL2 INST2 INST1))
% 3.87/4.05 True
% 3.87/4.05 Clause #2 (by assumption #[]): Eq (∀ (Z : Iota), holdsDuring_THFTYPE_IiooI Z True) True
% 3.87/4.05 Clause #3 (by assumption #[]): Eq
% 3.87/4.05 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 3.87/4.05 (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i))
% 3.87/4.05 True
% 3.87/4.05 Clause #4 (by assumption #[]): Eq
% 3.87/4.05 (Not
% 3.87/4.05 (Exists fun X =>
% 3.87/4.05 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI X lCorina_THFTYPE_i)))
% 3.87/4.05 True
% 3.87/4.05 Clause #5 (by clausification #[2]): ∀ (a : Iota), Eq (holdsDuring_THFTYPE_IiooI a True) True
% 3.87/4.05 Clause #7 (by identity boolHoist #[3]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 3.87/4.05 (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True)
% 3.87/4.05 Clause #8 (by clausification #[4]): Eq
% 3.87/4.05 (Exists fun X =>
% 3.87/4.05 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI X lCorina_THFTYPE_i))
% 3.87/4.05 False
% 3.87/4.05 Clause #9 (by clausification #[8]): ∀ (a : Iota),
% 3.87/4.05 Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI a lCorina_THFTYPE_i))
% 3.87/4.05 False
% 3.87/4.05 Clause #10 (by identity loobHoist #[9]): ∀ (a : Iota),
% 3.87/4.05 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 3.87/4.05 (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False)
% 3.87/4.05 Clause #11 (by identity boolHoist #[9]): ∀ (a : Iota),
% 3.87/4.05 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 3.87/4.05 (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True)
% 3.87/4.05 Clause #12 (by superposition #[10, 5]): ∀ (a : Iota), Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False) (Eq False True)
% 3.87/4.05 Clause #13 (by clausification #[1]): ∀ (a : Iota → Iota → Prop),
% 3.87/4.05 Eq
% 3.87/4.05 (∀ (REL1 : Iota → Iota → Prop),
% 3.87/4.05 inverse_THFTYPE_IIiioIIiioIoI REL1 a → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (a INST2 INST1))
% 3.87/4.05 True
% 3.87/4.05 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota → Iota → Prop),
% 3.87/4.05 Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1 → ∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True
% 3.87/4.05 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota → Iota → Prop),
% 3.87/4.05 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False)
% 3.87/4.05 (Eq (∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True)
% 3.87/4.05 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota),
% 3.87/4.05 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (∀ (INST2 : Iota), Iff (a a_2 INST2) (a_1 INST2 a_2)) True)
% 3.87/4.05 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota),
% 3.87/4.05 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (Iff (a a_2 a_3) (a_1 a_3 a_2)) True)
% 3.87/4.05 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota),
% 3.87/4.05 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))
% 3.87/4.05 Clause #20 (by superposition #[18, 0]): ∀ (a a_1 : Iota),
% 3.87/4.05 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) True)
% 3.87/4.05 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) False) (Eq False True))
% 3.87/4.05 Clause #21 (by clausification #[12]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False
% 3.87/4.05 Clause #22 (by superposition #[11, 7]): ∀ (a : Iota),
% 3.87/4.05 Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True)
% 3.87/4.05 (Or (Eq False True) (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True))
% 3.87/4.05 Clause #23 (by clausification #[22]): ∀ (a : Iota),
% 3.87/4.05 Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True)
% 3.87/4.05 (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True)
% 3.87/4.05 Clause #24 (by superposition #[23, 21]): Or (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True) (Eq True False)
% 3.87/4.05 Clause #25 (by clausification #[24]): Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True
% 3.87/4.05 Clause #31 (by betaEtaReduce #[20]): ∀ (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))
% 3.87/4.05 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Eq (wife_THFTYPE_IiioI a_1 a) False)
% 3.87/4.05 Clause #33 (by superposition #[32, 25]): Or (Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True) (Eq False True)
% 3.87/4.05 Clause #34 (by clausification #[33]): Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True
% 3.87/4.05 Clause #35 (by superposition #[34, 21]): Eq True False
% 3.87/4.05 Clause #37 (by clausification #[35]): False
% 3.87/4.05 SZS output end Proof for theBenchmark.p
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