TSTP Solution File: NUM849+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 10:57:57 EDT 2023
% Result : Theorem 15.60s 15.83s
% Output : Proof 15.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n017.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 : Fri Aug 25 16:56:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 15.60/15.83 SZS status Theorem for theBenchmark.p
% 15.60/15.83 SZS output start Proof for theBenchmark.p
% 15.60/15.83 Clause #0 (by assumption #[]): Eq
% 15.60/15.83 (Not
% 15.60/15.83 (∀ (Vd454 : Iota),
% 15.60/15.83 Eq (vmul (vmul vd448 vd449) Vd454) (vmul vd448 (vmul vd449 Vd454)) →
% 15.60/15.83 Eq (vmul (vmul vd448 vd449) (vsucc Vd454)) (vmul vd448 (vmul vd449 (vsucc Vd454)))))
% 15.60/15.83 True
% 15.60/15.83 Clause #2 (by assumption #[]): Eq
% 15.60/15.83 (∀ (Vd451 : Iota),
% 15.60/15.83 Eq (vmul (vmul vd448 vd449) Vd451) (vmul vd448 (vmul vd449 Vd451)) →
% 15.60/15.83 Eq (vplus (vmul vd448 (vmul vd449 Vd451)) (vmul vd448 vd449)) (vmul vd448 (vplus (vmul vd449 Vd451) vd449)))
% 15.60/15.83 True
% 15.60/15.83 Clause #7 (by assumption #[]): Eq (∀ (Vd418 Vd419 : Iota), Eq (vmul Vd418 Vd419) (vmul Vd419 Vd418)) True
% 15.60/15.83 Clause #8 (by assumption #[]): Eq (∀ (Vd408 Vd409 : Iota), Eq (vmul (vsucc Vd408) Vd409) (vplus (vmul Vd408 Vd409) Vd409)) True
% 15.60/15.83 Clause #15 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (Vd419 : Iota), Eq (vmul a Vd419) (vmul Vd419 a)) True
% 15.60/15.83 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Eq (vmul a a_1) (vmul a_1 a)) True
% 15.60/15.83 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (vmul a a_1) (vmul a_1 a)
% 15.60/15.83 Clause #20 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Vd409 : Iota), Eq (vmul (vsucc a) Vd409) (vplus (vmul a Vd409) Vd409)) True
% 15.60/15.83 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (Eq (vmul (vsucc a) a_1) (vplus (vmul a a_1) a_1)) True
% 15.60/15.83 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (vmul (vsucc a) a_1) (vplus (vmul a a_1) a_1)
% 15.60/15.83 Clause #26 (by superposition #[22, 17]): ∀ (a a_1 : Iota), Eq (vmul (vsucc a) a_1) (vplus (vmul a_1 a) a_1)
% 15.60/15.83 Clause #30 (by clausification #[0]): Eq
% 15.60/15.83 (∀ (Vd454 : Iota),
% 15.60/15.83 Eq (vmul (vmul vd448 vd449) Vd454) (vmul vd448 (vmul vd449 Vd454)) →
% 15.60/15.83 Eq (vmul (vmul vd448 vd449) (vsucc Vd454)) (vmul vd448 (vmul vd449 (vsucc Vd454))))
% 15.60/15.83 False
% 15.60/15.83 Clause #31 (by clausification #[30]): ∀ (a : Iota),
% 15.60/15.83 Eq
% 15.60/15.83 (Not
% 15.60/15.83 (Eq (vmul (vmul vd448 vd449) (skS.0 0 a)) (vmul vd448 (vmul vd449 (skS.0 0 a))) →
% 15.60/15.83 Eq (vmul (vmul vd448 vd449) (vsucc (skS.0 0 a))) (vmul vd448 (vmul vd449 (vsucc (skS.0 0 a))))))
% 15.60/15.83 True
% 15.60/15.83 Clause #32 (by clausification #[31]): ∀ (a : Iota),
% 15.60/15.83 Eq
% 15.60/15.83 (Eq (vmul (vmul vd448 vd449) (skS.0 0 a)) (vmul vd448 (vmul vd449 (skS.0 0 a))) →
% 15.60/15.83 Eq (vmul (vmul vd448 vd449) (vsucc (skS.0 0 a))) (vmul vd448 (vmul vd449 (vsucc (skS.0 0 a)))))
% 15.60/15.83 False
% 15.60/15.83 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (Eq (vmul (vmul vd448 vd449) (skS.0 0 a)) (vmul vd448 (vmul vd449 (skS.0 0 a)))) True
% 15.60/15.83 Clause #34 (by clausification #[32]): ∀ (a : Iota), Eq (Eq (vmul (vmul vd448 vd449) (vsucc (skS.0 0 a))) (vmul vd448 (vmul vd449 (vsucc (skS.0 0 a))))) False
% 15.60/15.83 Clause #35 (by clausification #[33]): ∀ (a : Iota), Eq (vmul (vmul vd448 vd449) (skS.0 0 a)) (vmul vd448 (vmul vd449 (skS.0 0 a)))
% 15.60/15.83 Clause #36 (by forward demodulation #[35, 17]): ∀ (a : Iota), Eq (vmul (vmul vd449 vd448) (skS.0 0 a)) (vmul vd448 (vmul vd449 (skS.0 0 a)))
% 15.60/15.83 Clause #38 (by superposition #[36, 26]): ∀ (a : Iota),
% 15.60/15.83 Eq (vmul (vsucc (skS.0 0 a)) (vmul vd449 vd448)) (vplus (vmul vd448 (vmul vd449 (skS.0 0 a))) (vmul vd449 vd448))
% 15.60/15.83 Clause #61 (by clausification #[2]): ∀ (a : Iota),
% 15.60/15.83 Eq
% 15.60/15.83 (Eq (vmul (vmul vd448 vd449) a) (vmul vd448 (vmul vd449 a)) →
% 15.60/15.83 Eq (vplus (vmul vd448 (vmul vd449 a)) (vmul vd448 vd449)) (vmul vd448 (vplus (vmul vd449 a) vd449)))
% 15.60/15.83 True
% 15.60/15.83 Clause #62 (by clausification #[61]): ∀ (a : Iota),
% 15.60/15.83 Or (Eq (Eq (vmul (vmul vd448 vd449) a) (vmul vd448 (vmul vd449 a))) False)
% 15.60/15.83 (Eq (Eq (vplus (vmul vd448 (vmul vd449 a)) (vmul vd448 vd449)) (vmul vd448 (vplus (vmul vd449 a) vd449))) True)
% 15.60/15.83 Clause #63 (by clausification #[62]): ∀ (a : Iota),
% 15.60/15.83 Or (Eq (Eq (vplus (vmul vd448 (vmul vd449 a)) (vmul vd448 vd449)) (vmul vd448 (vplus (vmul vd449 a) vd449))) True)
% 15.60/15.83 (Ne (vmul (vmul vd448 vd449) a) (vmul vd448 (vmul vd449 a)))
% 15.60/15.83 Clause #64 (by clausification #[63]): ∀ (a : Iota),
% 15.60/15.83 Or (Ne (vmul (vmul vd448 vd449) a) (vmul vd448 (vmul vd449 a)))
% 15.60/15.83 (Eq (vplus (vmul vd448 (vmul vd449 a)) (vmul vd448 vd449)) (vmul vd448 (vplus (vmul vd449 a) vd449)))
% 15.60/15.83 Clause #65 (by forward demodulation #[64, 17]): ∀ (a : Iota),
% 15.68/15.85 Or (Ne (vmul (vmul vd449 vd448) a) (vmul vd448 (vmul vd449 a)))
% 15.68/15.85 (Eq (vplus (vmul vd448 (vmul vd449 a)) (vmul vd448 vd449)) (vmul vd448 (vplus (vmul vd449 a) vd449)))
% 15.68/15.85 Clause #66 (by forward demodulation #[65, 17]): ∀ (a : Iota),
% 15.68/15.85 Or (Ne (vmul (vmul vd449 vd448) a) (vmul vd448 (vmul vd449 a)))
% 15.68/15.85 (Eq (vplus (vmul vd448 (vmul vd449 a)) (vmul vd449 vd448)) (vmul vd448 (vplus (vmul vd449 a) vd449)))
% 15.68/15.85 Clause #67 (by forward demodulation #[66, 26]): ∀ (a : Iota),
% 15.68/15.85 Or (Ne (vmul (vmul vd449 vd448) a) (vmul vd448 (vmul vd449 a)))
% 15.68/15.85 (Eq (vplus (vmul vd448 (vmul vd449 a)) (vmul vd449 vd448)) (vmul vd448 (vmul (vsucc a) vd449)))
% 15.68/15.85 Clause #68 (by forward demodulation #[67, 17]): ∀ (a : Iota),
% 15.68/15.85 Or (Ne (vmul (vmul vd449 vd448) a) (vmul vd448 (vmul vd449 a)))
% 15.68/15.85 (Eq (vplus (vmul vd448 (vmul vd449 a)) (vmul vd449 vd448)) (vmul vd448 (vmul vd449 (vsucc a))))
% 15.68/15.85 Clause #69 (by superposition #[68, 36]): ∀ (a : Iota),
% 15.68/15.85 Or (Ne (vmul vd448 (vmul vd449 (skS.0 0 a))) (vmul vd448 (vmul vd449 (skS.0 0 a))))
% 15.68/15.85 (Eq (vplus (vmul vd448 (vmul vd449 (skS.0 0 a))) (vmul vd449 vd448)) (vmul vd448 (vmul vd449 (vsucc (skS.0 0 a)))))
% 15.68/15.85 Clause #218 (by clausification #[34]): ∀ (a : Iota), Ne (vmul (vmul vd448 vd449) (vsucc (skS.0 0 a))) (vmul vd448 (vmul vd449 (vsucc (skS.0 0 a))))
% 15.68/15.85 Clause #219 (by forward demodulation #[218, 17]): ∀ (a : Iota), Ne (vmul (vmul vd449 vd448) (vsucc (skS.0 0 a))) (vmul vd448 (vmul vd449 (vsucc (skS.0 0 a))))
% 15.68/15.85 Clause #239 (by forward demodulation #[38, 17]): ∀ (a : Iota),
% 15.68/15.85 Eq (vmul (vmul vd449 vd448) (vsucc (skS.0 0 a))) (vplus (vmul vd448 (vmul vd449 (skS.0 0 a))) (vmul vd449 vd448))
% 15.68/15.85 Clause #265 (by eliminate resolved literals #[69]): ∀ (a : Iota),
% 15.68/15.85 Eq (vplus (vmul vd448 (vmul vd449 (skS.0 0 a))) (vmul vd449 vd448)) (vmul vd448 (vmul vd449 (vsucc (skS.0 0 a))))
% 15.68/15.85 Clause #266 (by superposition #[265, 239]): ∀ (a : Iota), Eq (vmul (vmul vd449 vd448) (vsucc (skS.0 0 a))) (vmul vd448 (vmul vd449 (vsucc (skS.0 0 a))))
% 15.68/15.85 Clause #5082 (by forward contextual literal cutting #[266, 219]): False
% 15.68/15.85 SZS output end Proof for theBenchmark.p
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