TSTP Solution File: CSR142^2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR142^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 56.00s 56.17s
% Output : Proof 56.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR142^2 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14 % Command : duper %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 10:43:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 56.00/56.17 SZS status Theorem for theBenchmark.p
% 56.00/56.17 SZS output start Proof for theBenchmark.p
% 56.00/56.17 Clause #6 (by assumption #[]): Eq
% 56.00/56.17 (∀ (REL2 REL1 : Iota → Iota → Prop),
% 56.00/56.17 inverse_THFTYPE_IIiioIIiioIoI REL1 REL2 → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (REL2 INST2 INST1))
% 56.00/56.17 True
% 56.00/56.17 Clause #42 (by assumption #[]): Eq (inverse_THFTYPE_IIiioIIiioIoI husband_THFTYPE_IiioI wife_THFTYPE_IiioI) True
% 56.00/56.17 Clause #51 (by assumption #[]): Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True
% 56.00/56.17 Clause #228 (by assumption #[]): Eq (Not (Exists fun X => husband_THFTYPE_IiioI X lCorina_THFTYPE_i)) True
% 56.00/56.17 Clause #253 (by clausification #[6]): ∀ (a : Iota → Iota → Prop),
% 56.00/56.17 Eq
% 56.00/56.17 (∀ (REL1 : Iota → Iota → Prop),
% 56.00/56.17 inverse_THFTYPE_IIiioIIiioIoI REL1 a → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (a INST2 INST1))
% 56.00/56.17 True
% 56.00/56.17 Clause #254 (by clausification #[253]): ∀ (a a_1 : Iota → Iota → Prop),
% 56.00/56.17 Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1 → ∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True
% 56.00/56.17 Clause #255 (by clausification #[254]): ∀ (a a_1 : Iota → Iota → Prop),
% 56.00/56.17 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False)
% 56.00/56.17 (Eq (∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True)
% 56.00/56.17 Clause #256 (by clausification #[255]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota),
% 56.00/56.17 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (∀ (INST2 : Iota), Iff (a a_2 INST2) (a_1 INST2 a_2)) True)
% 56.00/56.17 Clause #257 (by clausification #[256]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota),
% 56.00/56.17 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (Iff (a a_2 a_3) (a_1 a_3 a_2)) True)
% 56.00/56.17 Clause #258 (by clausification #[257]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota),
% 56.00/56.17 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))
% 56.00/56.17 Clause #294 (by superposition #[42, 258]): ∀ (a a_1 : Iota),
% 56.00/56.17 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) True)
% 56.00/56.17 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) False) (Eq False True))
% 56.00/56.17 Clause #2850 (by clausification #[228]): Eq (Exists fun X => husband_THFTYPE_IiioI X lCorina_THFTYPE_i) False
% 56.00/56.17 Clause #2851 (by clausification #[2850]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False
% 56.00/56.17 Clause #5301 (by betaEtaReduce #[294]): ∀ (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))
% 56.00/56.17 Clause #5302 (by clausification #[5301]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Eq (wife_THFTYPE_IiioI a_1 a) False)
% 56.00/56.17 Clause #5303 (by superposition #[5302, 51]): Or (Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True) (Eq False True)
% 56.00/56.17 Clause #5312 (by clausification #[5303]): Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True
% 56.00/56.17 Clause #5313 (by superposition #[5312, 2851]): Eq True False
% 56.00/56.17 Clause #5335 (by clausification #[5313]): False
% 56.00/56.17 SZS output end Proof for theBenchmark.p
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