TSTP Solution File: PUZ131+1 by Duper---1.0
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% File : Duper---1.0
% Problem : PUZ131+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 : Thu Aug 31 13:14:49 EDT 2023
% Result : Theorem 3.90s 4.07s
% Output : Proof 3.90s
% 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 : PUZ131+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Sat Aug 26 22:58:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.90/4.07 SZS status Theorem for theBenchmark.p
% 3.90/4.07 SZS output start Proof for theBenchmark.p
% 3.90/4.07 Clause #3 (by assumption #[]): Eq (student michael) True
% 3.90/4.07 Clause #4 (by assumption #[]): Eq (professor victor) True
% 3.90/4.07 Clause #5 (by assumption #[]): Eq (course csc410) True
% 3.90/4.07 Clause #11 (by assumption #[]): Eq (∀ (X : Iota), course X → teaches (coordinatorof X) X) True
% 3.90/4.07 Clause #12 (by assumption #[]): Eq (∀ (X Y : Iota), And (student X) (course Y) → enrolled X Y → ∀ (Z : Iota), professor Z → teaches Z Y → taughtby X Z)
% 3.90/4.07 True
% 3.90/4.07 Clause #13 (by assumption #[]): Eq (enrolled michael csc410) True
% 3.90/4.07 Clause #14 (by assumption #[]): Eq (Eq (coordinatorof csc410) victor) True
% 3.90/4.07 Clause #15 (by assumption #[]): Eq (Not (taughtby michael victor)) True
% 3.90/4.07 Clause #16 (by clausification #[15]): Eq (taughtby michael victor) False
% 3.90/4.07 Clause #19 (by clausification #[14]): Eq (coordinatorof csc410) victor
% 3.90/4.07 Clause #36 (by clausification #[11]): ∀ (a : Iota), Eq (course a → teaches (coordinatorof a) a) True
% 3.90/4.07 Clause #37 (by clausification #[36]): ∀ (a : Iota), Or (Eq (course a) False) (Eq (teaches (coordinatorof a) a) True)
% 3.90/4.07 Clause #38 (by superposition #[37, 5]): Or (Eq (teaches (coordinatorof csc410) csc410) True) (Eq False True)
% 3.90/4.07 Clause #40 (by clausification #[38]): Eq (teaches (coordinatorof csc410) csc410) True
% 3.90/4.07 Clause #41 (by forward demodulation #[40, 19]): Eq (teaches victor csc410) True
% 3.90/4.07 Clause #43 (by clausification #[12]): ∀ (a : Iota),
% 3.90/4.07 Eq (∀ (Y : Iota), And (student a) (course Y) → enrolled a Y → ∀ (Z : Iota), professor Z → teaches Z Y → taughtby a Z)
% 3.90/4.07 True
% 3.90/4.07 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 3.90/4.07 Eq (And (student a) (course a_1) → enrolled a a_1 → ∀ (Z : Iota), professor Z → teaches Z a_1 → taughtby a Z) True
% 3.90/4.07 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota),
% 3.90/4.07 Or (Eq (And (student a) (course a_1)) False)
% 3.90/4.07 (Eq (enrolled a a_1 → ∀ (Z : Iota), professor Z → teaches Z a_1 → taughtby a Z) True)
% 3.90/4.07 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota),
% 3.90/4.07 Or (Eq (enrolled a a_1 → ∀ (Z : Iota), professor Z → teaches Z a_1 → taughtby a Z) True)
% 3.90/4.07 (Or (Eq (student a) False) (Eq (course a_1) False))
% 3.90/4.07 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota),
% 3.90/4.07 Or (Eq (student a) False)
% 3.90/4.07 (Or (Eq (course a_1) False)
% 3.90/4.07 (Or (Eq (enrolled a a_1) False) (Eq (∀ (Z : Iota), professor Z → teaches Z a_1 → taughtby a Z) True)))
% 3.90/4.07 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota),
% 3.90/4.07 Or (Eq (student a) False)
% 3.90/4.07 (Or (Eq (course a_1) False)
% 3.90/4.07 (Or (Eq (enrolled a a_1) False) (Eq (professor a_2 → teaches a_2 a_1 → taughtby a a_2) True)))
% 3.90/4.07 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota),
% 3.90/4.07 Or (Eq (student a) False)
% 3.90/4.07 (Or (Eq (course a_1) False)
% 3.90/4.07 (Or (Eq (enrolled a a_1) False) (Or (Eq (professor a_2) False) (Eq (teaches a_2 a_1 → taughtby a a_2) True))))
% 3.90/4.07 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 3.90/4.07 Or (Eq (student a) False)
% 3.90/4.07 (Or (Eq (course a_1) False)
% 3.90/4.07 (Or (Eq (enrolled a a_1) False)
% 3.90/4.07 (Or (Eq (professor a_2) False) (Or (Eq (teaches a_2 a_1) False) (Eq (taughtby a a_2) True)))))
% 3.90/4.07 Clause #51 (by superposition #[50, 3]): ∀ (a a_1 : Iota),
% 3.90/4.07 Or (Eq (course a) False)
% 3.90/4.07 (Or (Eq (enrolled michael a) False)
% 3.90/4.07 (Or (Eq (professor a_1) False)
% 3.90/4.07 (Or (Eq (teaches a_1 a) False) (Or (Eq (taughtby michael a_1) True) (Eq False True)))))
% 3.90/4.07 Clause #148 (by clausification #[51]): ∀ (a a_1 : Iota),
% 3.90/4.07 Or (Eq (course a) False)
% 3.90/4.07 (Or (Eq (enrolled michael a) False)
% 3.90/4.07 (Or (Eq (professor a_1) False) (Or (Eq (teaches a_1 a) False) (Eq (taughtby michael a_1) True))))
% 3.90/4.07 Clause #149 (by superposition #[148, 5]): ∀ (a : Iota),
% 3.90/4.07 Or (Eq (enrolled michael csc410) False)
% 3.90/4.07 (Or (Eq (professor a) False) (Or (Eq (teaches a csc410) False) (Or (Eq (taughtby michael a) True) (Eq False True))))
% 3.90/4.07 Clause #156 (by clausification #[149]): ∀ (a : Iota),
% 3.90/4.07 Or (Eq (enrolled michael csc410) False)
% 3.90/4.07 (Or (Eq (professor a) False) (Or (Eq (teaches a csc410) False) (Eq (taughtby michael a) True)))
% 3.90/4.07 Clause #157 (by forward demodulation #[156, 13]): ∀ (a : Iota),
% 3.90/4.07 Or (Eq True False) (Or (Eq (professor a) False) (Or (Eq (teaches a csc410) False) (Eq (taughtby michael a) True)))
% 3.90/4.07 Clause #158 (by clausification #[157]): ∀ (a : Iota), Or (Eq (professor a) False) (Or (Eq (teaches a csc410) False) (Eq (taughtby michael a) True))
% 3.90/4.07 Clause #159 (by superposition #[158, 4]): Or (Eq (teaches victor csc410) False) (Or (Eq (taughtby michael victor) True) (Eq False True))
% 3.90/4.07 Clause #167 (by clausification #[159]): Or (Eq (teaches victor csc410) False) (Eq (taughtby michael victor) True)
% 3.90/4.07 Clause #168 (by forward demodulation #[167, 41]): Or (Eq True False) (Eq (taughtby michael victor) True)
% 3.90/4.07 Clause #169 (by clausification #[168]): Eq (taughtby michael victor) True
% 3.90/4.07 Clause #170 (by superposition #[169, 16]): Eq True False
% 3.90/4.07 Clause #171 (by clausification #[170]): False
% 3.90/4.07 SZS output end Proof for theBenchmark.p
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