TSTP Solution File: CSR139^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : CSR139^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 21:12:02 EDT 2023
% Result : Theorem 4.55s 4.73s
% Output : Proof 4.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR139^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 13:26:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 4.55/4.73 SZS status Theorem for theBenchmark.p
% 4.55/4.73 SZS output start Proof for theBenchmark.p
% 4.55/4.73 Clause #0 (by assumption #[]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True
% 4.55/4.73 Clause #1 (by assumption #[]): Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i)) True
% 4.55/4.73 Clause #4 (by assumption #[]): Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True
% 4.55/4.73 Clause #8 (by assumption #[]): Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) True
% 4.55/4.73 Clause #10 (by assumption #[]): Eq
% 4.55/4.73 (Not
% 4.55/4.73 (Exists fun Q =>
% 4.55/4.73 Exists fun R => Exists fun Y => And (And (R Y lBill_THFTYPE_i) (Q Y lAnna_THFTYPE_i)) (Not (Eq R Q))))
% 4.55/4.73 True
% 4.55/4.73 Clause #13 (by clausification #[1]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) False
% 4.55/4.73 Clause #14 (by clausification #[10]): Eq
% 4.55/4.73 (Exists fun Q => Exists fun R => Exists fun Y => And (And (R Y lBill_THFTYPE_i) (Q Y lAnna_THFTYPE_i)) (Not (Eq R Q)))
% 4.55/4.73 False
% 4.55/4.73 Clause #15 (by clausification #[14]): ∀ (a : Iota → Iota → Prop),
% 4.55/4.73 Eq (Exists fun R => Exists fun Y => And (And (R Y lBill_THFTYPE_i) (a Y lAnna_THFTYPE_i)) (Not (Eq R a))) False
% 4.55/4.73 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota → Iota → Prop),
% 4.55/4.73 Eq (Exists fun Y => And (And (a Y lBill_THFTYPE_i) (a_1 Y lAnna_THFTYPE_i)) (Not (Eq a a_1))) False
% 4.55/4.73 Clause #17 (by clausification #[16]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota) (a_2 : Iota → Iota → Prop),
% 4.55/4.73 Eq (And (And (a a_1 lBill_THFTYPE_i) (a_2 a_1 lAnna_THFTYPE_i)) (Not (Eq a a_2))) False
% 4.55/4.73 Clause #18 (by clausification #[17]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota) (a_2 : Iota → Iota → Prop),
% 4.55/4.73 Or (Eq (And (a a_1 lBill_THFTYPE_i) (a_2 a_1 lAnna_THFTYPE_i)) False) (Eq (Not (Eq a a_2)) False)
% 4.55/4.73 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota),
% 4.55/4.73 Or (Eq (Not (Eq a a_1)) False) (Or (Eq (a a_2 lBill_THFTYPE_i) False) (Eq (a_1 a_2 lAnna_THFTYPE_i) False))
% 4.55/4.73 Clause #20 (by clausification #[19]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota) (a_2 : Iota → Iota → Prop),
% 4.55/4.73 Or (Eq (a a_1 lBill_THFTYPE_i) False) (Or (Eq (a_2 a_1 lAnna_THFTYPE_i) False) (Eq (Eq a a_2) True))
% 4.55/4.73 Clause #21 (by clausification #[20]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota) (a_2 : Iota → Iota → Prop),
% 4.55/4.73 Or (Eq (a a_1 lBill_THFTYPE_i) False) (Or (Eq (a_2 a_1 lAnna_THFTYPE_i) False) (Eq a a_2))
% 4.55/4.73 Clause #22 (by superposition #[21, 8]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 4.55/4.73 Or (Eq (a a_1 lAnna_THFTYPE_i) False)
% 4.55/4.73 (Or (Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) a) (Eq False True))
% 4.55/4.73 Clause #25 (by superposition #[21, 4]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 4.55/4.73 Or (Eq (a a_1 lAnna_THFTYPE_i) False)
% 4.55/4.73 (Or (Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a) (Eq False True))
% 4.55/4.73 Clause #41 (by clausification #[22]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 4.55/4.73 Or (Eq (a a_1 lAnna_THFTYPE_i) False) (Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) a)
% 4.55/4.73 Clause #52 (by fluidSup #[41, 8]): ∀ (a : Iota → Iota → Prop) (a_1 : Prop → Iota),
% 4.55/4.73 Or (Eq (a (a_1 True) lAnna_THFTYPE_i) False) (Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) a)
% 4.55/4.73 Clause #76 (by superposition #[52, 8]): Or
% 4.55/4.73 (Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) fun x x =>
% 4.55/4.73 parent_THFTYPE_IiioI lMary_THFTYPE_i x)
% 4.55/4.73 (Eq False True)
% 4.55/4.73 Clause #77 (by clausification #[76]): Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i x
% 4.55/4.73 Clause #78 (by argument congruence #[77]): ∀ (a : Iota),
% 4.55/4.73 Eq ((fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) a)
% 4.55/4.73 ((fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i x) a)
% 4.55/4.73 Clause #81 (by betaEtaReduce #[78]): Eq (fun x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) (parent_THFTYPE_IiioI lMary_THFTYPE_i)
% 4.55/4.73 Clause #188 (by clausification #[25]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 4.55/4.73 Or (Eq (a a_1 lAnna_THFTYPE_i) False) (Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a)
% 4.55/4.73 Clause #200 (by fluidSup #[188, 81]): ∀ (a : Iota → Iota → Prop) (a_1 : (Iota → Prop) → Iota),
% 4.59/4.74 Or (Eq (a (a_1 (parent_THFTYPE_IiioI lMary_THFTYPE_i)) lAnna_THFTYPE_i) False)
% 4.59/4.74 (Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a)
% 4.59/4.74 Clause #224 (by superposition #[200, 0]): Or
% 4.59/4.74 (Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) fun x x_1 => likes_THFTYPE_IiioI lSue_THFTYPE_i x)
% 4.59/4.74 (Eq False True)
% 4.59/4.74 Clause #225 (by clausification #[224]): Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) fun x x_1 => likes_THFTYPE_IiioI lSue_THFTYPE_i x
% 4.59/4.74 Clause #226 (by argument congruence #[225]): ∀ (a : Iota),
% 4.59/4.74 Eq ((fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a)
% 4.59/4.74 ((fun x x_1 => likes_THFTYPE_IiioI lSue_THFTYPE_i x) a)
% 4.59/4.74 Clause #241 (by betaEtaReduce #[226]): ∀ (a : Iota),
% 4.59/4.74 Eq (fun x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) fun x => likes_THFTYPE_IiioI lSue_THFTYPE_i a
% 4.59/4.74 Clause #243 (by argument congruence #[241]): ∀ (a a_1 : Iota),
% 4.59/4.74 Eq ((fun x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a)
% 4.59/4.74 ((fun x => likes_THFTYPE_IiioI lSue_THFTYPE_i a_1) a)
% 4.59/4.74 Clause #285 (by betaEtaReduce #[243]): ∀ (a : Iota), Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) (likes_THFTYPE_IiioI lSue_THFTYPE_i a)
% 4.59/4.74 Clause #286 (by forward demodulation #[285, 4]): ∀ (a : Iota), Eq True (likes_THFTYPE_IiioI lSue_THFTYPE_i a)
% 4.59/4.74 Clause #289 (by superposition #[286, 13]): Eq True False
% 4.59/4.74 Clause #301 (by clausification #[289]): False
% 4.59/4.74 SZS output end Proof for theBenchmark.p
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