TSTP Solution File: CSR143^2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR143^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 44.89s 45.10s
% Output : Proof 44.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR143^2 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n002.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 13:28:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 44.89/45.10 SZS status Theorem for theBenchmark.p
% 44.89/45.10 SZS output start Proof for theBenchmark.p
% 44.89/45.10 Clause #5 (by assumption #[]): Eq
% 44.89/45.10 (∀ (REL2 REL1 : Iota → Iota → Prop),
% 44.89/45.10 inverse_THFTYPE_IIiioIIiioIoI REL1 REL2 → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (REL2 INST2 INST1))
% 44.89/45.10 True
% 44.89/45.10 Clause #47 (by assumption #[]): Eq (∀ (Z : Iota), holdsDuring_THFTYPE_IiooI Z True) True
% 44.89/45.10 Clause #82 (by assumption #[]): Eq (inverse_THFTYPE_IIiioIIiioIoI husband_THFTYPE_IiioI wife_THFTYPE_IiioI) True
% 44.89/45.10 Clause #93 (by assumption #[]): Eq
% 44.89/45.10 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 44.89/45.10 (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i))
% 44.89/45.10 True
% 44.89/45.10 Clause #296 (by assumption #[]): Eq
% 44.89/45.10 (Not
% 44.89/45.10 (Exists fun X =>
% 44.89/45.10 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI X lCorina_THFTYPE_i)))
% 44.89/45.10 True
% 44.89/45.10 Clause #324 (by clausification #[5]): ∀ (a : Iota → Iota → Prop),
% 44.89/45.10 Eq
% 44.89/45.10 (∀ (REL1 : Iota → Iota → Prop),
% 44.89/45.10 inverse_THFTYPE_IIiioIIiioIoI REL1 a → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (a INST2 INST1))
% 44.89/45.10 True
% 44.89/45.10 Clause #325 (by clausification #[324]): ∀ (a a_1 : Iota → Iota → Prop),
% 44.89/45.10 Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1 → ∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True
% 44.89/45.10 Clause #326 (by clausification #[325]): ∀ (a a_1 : Iota → Iota → Prop),
% 44.89/45.10 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False)
% 44.89/45.10 (Eq (∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True)
% 44.89/45.10 Clause #327 (by clausification #[326]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota),
% 44.89/45.10 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (∀ (INST2 : Iota), Iff (a a_2 INST2) (a_1 INST2 a_2)) True)
% 44.89/45.10 Clause #328 (by clausification #[327]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota),
% 44.89/45.10 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (Iff (a a_2 a_3) (a_1 a_3 a_2)) True)
% 44.89/45.10 Clause #329 (by clausification #[328]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota),
% 44.89/45.10 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))
% 44.89/45.10 Clause #388 (by superposition #[82, 329]): ∀ (a a_1 : Iota),
% 44.89/45.10 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) True)
% 44.89/45.10 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) False) (Eq False True))
% 44.89/45.10 Clause #2585 (by clausification #[47]): ∀ (a : Iota), Eq (holdsDuring_THFTYPE_IiooI a True) True
% 44.89/45.10 Clause #5127 (by identity boolHoist #[93]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 44.89/45.10 (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True)
% 44.89/45.10 Clause #7095 (by clausification #[296]): Eq
% 44.89/45.10 (Exists fun X =>
% 44.89/45.10 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI X lCorina_THFTYPE_i))
% 44.89/45.10 False
% 44.89/45.10 Clause #7096 (by clausification #[7095]): ∀ (a : Iota),
% 44.89/45.10 Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI a lCorina_THFTYPE_i))
% 44.89/45.10 False
% 44.89/45.10 Clause #7097 (by identity loobHoist #[7096]): ∀ (a : Iota),
% 44.89/45.10 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 44.89/45.10 (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False)
% 44.89/45.10 Clause #7098 (by identity boolHoist #[7096]): ∀ (a : Iota),
% 44.89/45.10 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 44.89/45.10 (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True)
% 44.89/45.10 Clause #7099 (by superposition #[7097, 2585]): ∀ (a : Iota), Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False) (Eq False True)
% 44.89/45.10 Clause #7101 (by clausification #[7099]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False
% 44.89/45.10 Clause #7111 (by superposition #[7098, 5127]): ∀ (a : Iota),
% 44.89/45.10 Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True)
% 44.89/45.10 (Or (Eq False True) (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True))
% 44.89/45.10 Clause #8187 (by clausification #[7111]): ∀ (a : Iota),
% 44.89/45.10 Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True)
% 44.89/45.10 (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True)
% 44.89/45.10 Clause #8188 (by superposition #[8187, 7101]): Or (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True) (Eq True False)
% 44.89/45.23 Clause #8232 (by clausification #[8188]): Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True
% 44.89/45.23 Clause #8667 (by betaEtaReduce #[388]): ∀ (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))
% 44.89/45.23 Clause #8668 (by clausification #[8667]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Eq (wife_THFTYPE_IiioI a_1 a) False)
% 44.89/45.23 Clause #8669 (by superposition #[8668, 8232]): Or (Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True) (Eq False True)
% 44.89/45.23 Clause #8681 (by clausification #[8669]): Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True
% 44.89/45.23 Clause #8682 (by superposition #[8681, 7101]): Eq True False
% 44.89/45.23 Clause #8712 (by clausification #[8682]): False
% 44.89/45.23 SZS output end Proof for theBenchmark.p
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