TSTP Solution File: LCL684+1.001 by Duper---1.0
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% File : Duper---1.0
% Problem : LCL684+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 07:10:50 EDT 2023
% Result : Theorem 3.63s 3.79s
% Output : Proof 3.63s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL684+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n026.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 : Thu Aug 24 19:39:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.63/3.79 SZS status Theorem for theBenchmark.p
% 3.63/3.79 SZS output start Proof for theBenchmark.p
% 3.63/3.79 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), r1 X X) True
% 3.63/3.79 Clause #2 (by assumption #[]): Eq
% 3.63/3.79 (Not
% 3.63/3.79 (Not
% 3.63/3.79 (Exists fun X =>
% 3.63/3.79 Not
% 3.63/3.79 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (∀ (X : Iota), Or (Not (r1 Y X)) (Not (And (p201 X) (p101 X))))))
% 3.63/3.79 (Not (And (p201 X) (p101 X)))))))
% 3.63/3.79 True
% 3.63/3.79 Clause #3 (by clausification #[0]): ∀ (a : Iota), Eq (r1 a a) True
% 3.63/3.79 Clause #11 (by clausification #[2]): Eq
% 3.63/3.79 (Not
% 3.63/3.79 (Exists fun X =>
% 3.63/3.79 Not
% 3.63/3.79 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (∀ (X : Iota), Or (Not (r1 Y X)) (Not (And (p201 X) (p101 X))))))
% 3.63/3.79 (Not (And (p201 X) (p101 X))))))
% 3.63/3.79 False
% 3.63/3.79 Clause #12 (by clausification #[11]): Eq
% 3.63/3.79 (Exists fun X =>
% 3.63/3.79 Not
% 3.63/3.79 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (∀ (X : Iota), Or (Not (r1 Y X)) (Not (And (p201 X) (p101 X))))))
% 3.63/3.79 (Not (And (p201 X) (p101 X)))))
% 3.63/3.79 True
% 3.63/3.79 Clause #13 (by clausification #[12]): ∀ (a : Iota),
% 3.63/3.79 Eq
% 3.63/3.79 (Not
% 3.63/3.79 (Or
% 3.63/3.79 (Not
% 3.63/3.79 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (∀ (X : Iota), Or (Not (r1 Y X)) (Not (And (p201 X) (p101 X))))))
% 3.63/3.79 (Not (And (p201 (skS.0 0 a)) (p101 (skS.0 0 a))))))
% 3.63/3.79 True
% 3.63/3.79 Clause #14 (by clausification #[13]): ∀ (a : Iota),
% 3.63/3.79 Eq
% 3.63/3.79 (Or
% 3.63/3.79 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (∀ (X : Iota), Or (Not (r1 Y X)) (Not (And (p201 X) (p101 X))))))
% 3.63/3.79 (Not (And (p201 (skS.0 0 a)) (p101 (skS.0 0 a)))))
% 3.63/3.79 False
% 3.63/3.79 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (And (p201 (skS.0 0 a)) (p101 (skS.0 0 a)))) False
% 3.63/3.79 Clause #16 (by clausification #[14]): ∀ (a : Iota),
% 3.63/3.79 Eq (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (∀ (X : Iota), Or (Not (r1 Y X)) (Not (And (p201 X) (p101 X))))))
% 3.63/3.79 False
% 3.63/3.79 Clause #17 (by clausification #[15]): ∀ (a : Iota), Eq (And (p201 (skS.0 0 a)) (p101 (skS.0 0 a))) True
% 3.63/3.79 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (p101 (skS.0 0 a)) True
% 3.63/3.79 Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (p201 (skS.0 0 a)) True
% 3.63/3.79 Clause #20 (by clausification #[16]): ∀ (a : Iota),
% 3.63/3.79 Eq (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (∀ (X : Iota), Or (Not (r1 Y X)) (Not (And (p201 X) (p101 X))))) True
% 3.63/3.79 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota),
% 3.63/3.79 Eq (Or (Not (r1 (skS.0 0 a) a_1)) (∀ (X : Iota), Or (Not (r1 a_1 X)) (Not (And (p201 X) (p101 X))))) True
% 3.63/3.79 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota),
% 3.63/3.79 Or (Eq (Not (r1 (skS.0 0 a) a_1)) True) (Eq (∀ (X : Iota), Or (Not (r1 a_1 X)) (Not (And (p201 X) (p101 X)))) True)
% 3.63/3.79 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota),
% 3.63/3.79 Or (Eq (∀ (X : Iota), Or (Not (r1 a X)) (Not (And (p201 X) (p101 X)))) True) (Eq (r1 (skS.0 0 a_1) a) False)
% 3.63/3.79 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 3.63/3.79 Or (Eq (r1 (skS.0 0 a) a_1) False) (Eq (Or (Not (r1 a_1 a_2)) (Not (And (p201 a_2) (p101 a_2)))) True)
% 3.63/3.79 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota),
% 3.63/3.79 Or (Eq (r1 (skS.0 0 a) a_1) False) (Or (Eq (Not (r1 a_1 a_2)) True) (Eq (Not (And (p201 a_2) (p101 a_2))) True))
% 3.63/3.79 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota),
% 3.63/3.79 Or (Eq (r1 (skS.0 0 a) a_1) False) (Or (Eq (Not (And (p201 a_2) (p101 a_2))) True) (Eq (r1 a_1 a_2) False))
% 3.63/3.79 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota),
% 3.63/3.79 Or (Eq (r1 (skS.0 0 a) a_1) False) (Or (Eq (r1 a_1 a_2) False) (Eq (And (p201 a_2) (p101 a_2)) False))
% 3.63/3.79 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 3.63/3.79 Or (Eq (r1 (skS.0 0 a) a_1) False) (Or (Eq (r1 a_1 a_2) False) (Or (Eq (p201 a_2) False) (Eq (p101 a_2) False)))
% 3.63/3.79 Clause #29 (by superposition #[28, 3]): ∀ (a a_1 : Iota),
% 3.63/3.79 Or (Eq (r1 (skS.0 0 a) a_1) False) (Or (Eq (p201 a_1) False) (Or (Eq (p101 a_1) False) (Eq False True)))
% 3.63/3.79 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Or (Eq (r1 (skS.0 0 a) a_1) False) (Or (Eq (p201 a_1) False) (Eq (p101 a_1) False))
% 3.63/3.79 Clause #31 (by superposition #[30, 3]): ∀ (a : Iota), Or (Eq (p201 (skS.0 0 a)) False) (Or (Eq (p101 (skS.0 0 a)) False) (Eq False True))
% 3.63/3.79 Clause #32 (by clausification #[31]): ∀ (a : Iota), Or (Eq (p201 (skS.0 0 a)) False) (Eq (p101 (skS.0 0 a)) False)
% 3.63/3.79 Clause #33 (by forward demodulation #[32, 19]): ∀ (a : Iota), Or (Eq True False) (Eq (p101 (skS.0 0 a)) False)
% 3.63/3.79 Clause #34 (by clausification #[33]): ∀ (a : Iota), Eq (p101 (skS.0 0 a)) False
% 3.63/3.79 Clause #35 (by superposition #[34, 18]): Eq False True
% 3.63/3.79 Clause #36 (by clausification #[35]): False
% 3.63/3.79 SZS output end Proof for theBenchmark.p
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