TSTP Solution File: CSR123^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR123^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 21:11:55 EDT 2023
% Result : Theorem 3.63s 3.82s
% Output : Proof 3.63s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR123^1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n007.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 13:46:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.63/3.82 SZS status Theorem for theBenchmark.p
% 3.63/3.82 SZS output start Proof for theBenchmark.p
% 3.63/3.82 Clause #0 (by assumption #[]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True
% 3.63/3.82 Clause #1 (by assumption #[]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True
% 3.63/3.82 Clause #2 (by assumption #[]): Eq
% 3.63/3.82 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 3.63/3.82 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i)))
% 3.63/3.82 True
% 3.63/3.82 Clause #3 (by assumption #[]): Eq
% 3.63/3.82 (Not
% 3.63/3.82 (Exists fun P =>
% 3.63/3.82 Exists fun X =>
% 3.63/3.82 Exists fun Y =>
% 3.63/3.82 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 3.63/3.82 (And (P lSue_THFTYPE_i X) (Not (P lSue_THFTYPE_i Y)))))
% 3.63/3.82 True
% 3.63/3.82 Clause #4 (by identity loobHoist #[2]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True)
% 3.63/3.82 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i)) False)
% 3.63/3.82 Clause #5 (by identity boolHoist #[2]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 3.63/3.82 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i)) True)
% 3.63/3.82 Clause #6 (by clausification #[4]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True)
% 3.63/3.82 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True)
% 3.63/3.82 Clause #7 (by clausification #[5]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True)
% 3.63/3.82 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) False)
% 3.63/3.82 Clause #8 (by clausification #[3]): Eq
% 3.63/3.82 (Exists fun P =>
% 3.63/3.82 Exists fun X =>
% 3.63/3.82 Exists fun Y =>
% 3.63/3.82 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 3.63/3.82 (And (P lSue_THFTYPE_i X) (Not (P lSue_THFTYPE_i Y))))
% 3.63/3.82 False
% 3.63/3.82 Clause #9 (by clausification #[8]): ∀ (a : Iota → Iota → Prop),
% 3.63/3.82 Eq
% 3.63/3.82 (Exists fun X =>
% 3.63/3.82 Exists fun Y =>
% 3.63/3.82 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 3.63/3.82 (And (a lSue_THFTYPE_i X) (Not (a lSue_THFTYPE_i Y))))
% 3.63/3.82 False
% 3.63/3.82 Clause #10 (by clausification #[9]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 3.63/3.82 Eq
% 3.63/3.82 (Exists fun Y =>
% 3.63/3.82 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 3.63/3.82 (And (a lSue_THFTYPE_i a_1) (Not (a lSue_THFTYPE_i Y))))
% 3.63/3.82 False
% 3.63/3.82 Clause #11 (by clausification #[10]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 3.63/3.82 Eq
% 3.63/3.82 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i)
% 3.63/3.82 (And (a lSue_THFTYPE_i a_1) (Not (a lSue_THFTYPE_i a_2))))
% 3.63/3.82 False
% 3.63/3.82 Clause #12 (by identity loobHoist #[11]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 3.63/3.82 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 3.63/3.82 (Eq (And (a lSue_THFTYPE_i a_1) (Not (a lSue_THFTYPE_i a_2))) False)
% 3.63/3.82 Clause #13 (by identity boolHoist #[11]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 3.63/3.82 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 3.63/3.82 (Eq (And (a lSue_THFTYPE_i a_1) (Not (a lSue_THFTYPE_i a_2))) True)
% 3.63/3.82 Clause #14 (by clausification #[12]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 3.63/3.82 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 3.63/3.82 (Or (Eq (a lSue_THFTYPE_i a_1) False) (Eq (Not (a lSue_THFTYPE_i a_2)) False))
% 3.63/3.82 Clause #15 (by clausification #[14]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 3.63/3.82 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False)
% 3.63/3.82 (Or (Eq (a lSue_THFTYPE_i a_1) False) (Eq (a lSue_THFTYPE_i a_2) True))
% 3.63/3.82 Clause #16 (by superposition #[15, 6]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 3.63/3.82 Or (Eq (a lSue_THFTYPE_i a_1) False)
% 3.63/3.82 (Or (Eq (a lSue_THFTYPE_i a_2) True)
% 3.63/3.82 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True)))
% 3.63/3.82 Clause #17 (by clausification #[13]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 3.63/3.82 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 3.63/3.82 (Eq (Not (a lSue_THFTYPE_i a_1)) True)
% 3.63/3.82 Clause #19 (by clausification #[17]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 3.63/3.82 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False)
% 3.63/3.83 (Eq (a lSue_THFTYPE_i a_1) False)
% 3.63/3.83 Clause #20 (by clausification #[16]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 3.63/3.83 Or (Eq (a lSue_THFTYPE_i a_1) False)
% 3.63/3.83 (Or (Eq (a lSue_THFTYPE_i a_2) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True))
% 3.63/3.83 Clause #32 (by superposition #[20, 0]): ∀ (a : Iota),
% 3.63/3.83 Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) lSue_THFTYPE_i a) True)
% 3.63/3.83 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Eq False True))
% 3.63/3.83 Clause #44 (by betaEtaReduce #[32]): ∀ (a : Iota),
% 3.63/3.83 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)
% 3.63/3.83 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Eq False True))
% 3.63/3.83 Clause #45 (by clausification #[44]): ∀ (a : Iota),
% 3.63/3.83 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True)
% 3.63/3.83 Clause #47 (by equality factoring #[45]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True)
% 3.63/3.83 Clause #57 (by clausification #[47]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Or (Eq True False) (Eq True False))
% 3.63/3.83 Clause #59 (by clausification #[57]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Eq True False)
% 3.63/3.83 Clause #60 (by clausification #[59]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True
% 3.63/3.83 Clause #62 (by backward demodulation #[60, 7]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) (Eq True False)
% 3.63/3.83 Clause #67 (by clausification #[62]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True
% 3.63/3.83 Clause #68 (by superposition #[67, 19]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), Or (Eq True False) (Eq (a lSue_THFTYPE_i a_1) False)
% 3.63/3.83 Clause #87 (by clausification #[68]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), Eq (a lSue_THFTYPE_i a_1) False
% 3.63/3.83 Clause #88 (by superposition #[87, 1]): Eq False True
% 3.63/3.83 Clause #97 (by clausification #[88]): False
% 3.63/3.83 SZS output end Proof for theBenchmark.p
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