TSTP Solution File: CSR136^1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : CSR136^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n023.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 21:12:01 EDT 2023

% Result   : Theorem 6.28s 6.46s
% Output   : Proof 6.28s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR136^1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n023.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 14:10:55 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 6.28/6.46  SZS status Theorem for theBenchmark.p
% 6.28/6.46  SZS output start Proof for theBenchmark.p
% 6.28/6.46  Clause #0 (by assumption #[]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True
% 6.28/6.46  Clause #1 (by assumption #[]): Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i)) True
% 6.28/6.46  Clause #8 (by assumption #[]): Eq
% 6.28/6.46    (Not
% 6.28/6.46      (Exists fun R =>
% 6.28/6.46        And (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), R A B))))
% 6.28/6.46    True
% 6.28/6.46  Clause #9 (by clausification #[1]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) False
% 6.28/6.46  Clause #10 (by clausification #[8]): Eq
% 6.28/6.46    (Exists fun R =>
% 6.28/6.46      And (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), R A B)))
% 6.28/6.46    False
% 6.28/6.46  Clause #11 (by clausification #[10]): ∀ (a : Iota → Iota → Prop),
% 6.28/6.46    Eq (And (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), a A B)))
% 6.28/6.46      False
% 6.28/6.46  Clause #12 (by clausification #[11]): ∀ (a : Iota → Iota → Prop),
% 6.28/6.46    Or (Eq (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) False)
% 6.28/6.46      (Eq (Not (∀ (A B : Iota), a A B)) False)
% 6.28/6.46  Clause #13 (by clausification #[12]): ∀ (a : Iota → Iota → Prop),
% 6.28/6.46    Or (Eq (Not (∀ (A B : Iota), a A B)) False)
% 6.28/6.46      (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False))
% 6.28/6.46  Clause #14 (by clausification #[13]): ∀ (a : Iota → Iota → Prop),
% 6.28/6.46    Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 6.28/6.46      (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (∀ (A B : Iota), a A B) True))
% 6.28/6.46  Clause #15 (by clausification #[14]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota),
% 6.28/6.46    Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 6.28/6.46      (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (∀ (B : Iota), a a_1 B) True))
% 6.28/6.46  Clause #16 (by clausification #[15]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 6.28/6.46    Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 6.28/6.46      (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a a_1 a_2) True))
% 6.28/6.46  Clause #28 (by fluidLoobHoist #[16]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 6.28/6.46    Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 6.28/6.46      (Or (Eq (a a_1 a_2) True) (Or (Eq True False) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)))
% 6.28/6.46  Clause #34 (by clausification #[28]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 6.28/6.46    Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)
% 6.28/6.46      (Or (Eq (a a_1 a_2) True) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False))
% 6.28/6.46  Clause #46 (by fluidLoobHoist #[34]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 6.28/6.46    Or (Eq (a a_1 a_2) True)
% 6.28/6.46      (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 6.28/6.46        (Or (Eq True False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)))
% 6.28/6.46  Clause #50 (by clausification #[46]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota),
% 6.28/6.46    Or (Eq (a a_1 a_2) True)
% 6.28/6.46      (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False))
% 6.28/6.46  Clause #64 (by superposition #[50, 0]): ∀ (a a_1 : Iota),
% 6.28/6.46    Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) a a_1) True)
% 6.28/6.46      (Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True))
% 6.28/6.46  Clause #226 (by betaEtaReduce #[64]): ∀ (a : Iota),
% 6.28/6.46    Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)
% 6.28/6.46      (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True))
% 6.28/6.46  Clause #227 (by clausification #[226]): ∀ (a : Iota),
% 6.28/6.46    Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False)
% 6.28/6.46  Clause #228 (by superposition #[227, 0]): ∀ (a : Iota), Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq False True)
% 6.28/6.46  Clause #237 (by clausification #[228]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True
% 6.28/6.46  Clause #238 (by superposition #[237, 9]): Eq True False
% 6.28/6.46  Clause #269 (by clausification #[238]): False
% 6.28/6.46  SZS output end Proof for theBenchmark.p
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