TSTP Solution File: SEV412^5 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEV412^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 19:24:55 EDT 2023
% Result : Theorem 6.17s 6.42s
% Output : Proof 6.26s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV412^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : duper %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 24 02:44:32 EDT 2023
% 0.11/0.32 % CPUTime :
% 6.17/6.42 SZS status Theorem for theBenchmark.p
% 6.17/6.42 SZS output start Proof for theBenchmark.p
% 6.17/6.42 Clause #0 (by assumption #[]): Eq
% 6.17/6.42 (Not
% 6.17/6.42 (Or ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) →
% 6.17/6.42 (∀ (Xx : Iota), cA Xx → cB Xx) → cG))
% 6.17/6.42 True
% 6.17/6.42 Clause #1 (by clausification #[0]): Eq
% 6.17/6.42 (Or ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) → (∀ (Xx : Iota), cA Xx → cB Xx) → cG)
% 6.17/6.42 False
% 6.17/6.42 Clause #2 (by clausification #[1]): Eq (Or ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) ((∀ (Xx : Iota), cA Xx → cB Xx) → cG)) True
% 6.17/6.42 Clause #3 (by clausification #[1]): Eq ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) False
% 6.17/6.42 Clause #4 (by clausification #[2]): Or (Eq ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) True) (Eq ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) True)
% 6.17/6.42 Clause #5 (by clausification #[4]): Or (Eq ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) True) (Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False) (Eq cG True))
% 6.17/6.42 Clause #6 (by clausification #[5]): Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False)
% 6.17/6.42 (Or (Eq cG True) (Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False) (Eq cG True)))
% 6.17/6.42 Clause #7 (by clausification #[6]): ∀ (a : Iota),
% 6.17/6.42 Or (Eq cG True)
% 6.17/6.42 (Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False) (Or (Eq cG True) (Eq (Not (cA (skS.0 0 a) → cB (skS.0 0 a))) True)))
% 6.17/6.42 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 6.17/6.42 Or (Eq cG True)
% 6.17/6.42 (Or (Eq cG True)
% 6.17/6.42 (Or (Eq (Not (cA (skS.0 0 a) → cB (skS.0 0 a))) True) (Eq (Not (cA (skS.0 1 a_1) → cB (skS.0 1 a_1))) True)))
% 6.17/6.42 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota),
% 6.17/6.42 Or (Eq cG True)
% 6.17/6.42 (Or (Eq cG True)
% 6.17/6.42 (Or (Eq (Not (cA (skS.0 1 a) → cB (skS.0 1 a))) True) (Eq (cA (skS.0 0 a_1) → cB (skS.0 0 a_1)) False)))
% 6.17/6.42 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota),
% 6.17/6.42 Or (Eq cG True)
% 6.17/6.42 (Or (Eq cG True) (Or (Eq (cA (skS.0 0 a) → cB (skS.0 0 a)) False) (Eq (cA (skS.0 1 a_1) → cB (skS.0 1 a_1)) False)))
% 6.17/6.42 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota),
% 6.17/6.42 Or (Eq cG True) (Or (Eq cG True) (Or (Eq (cA (skS.0 1 a) → cB (skS.0 1 a)) False) (Eq (cA (skS.0 0 a_1)) True)))
% 6.17/6.42 Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota),
% 6.17/6.42 Or (Eq cG True) (Or (Eq cG True) (Or (Eq (cA (skS.0 1 a) → cB (skS.0 1 a)) False) (Eq (cB (skS.0 0 a_1)) False)))
% 6.17/6.42 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq cG True) (Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Eq (cA (skS.0 1 a_1)) True)))
% 6.17/6.42 Clause #14 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq cG True) (Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 1 a_1)) False)))
% 6.17/6.42 Clause #15 (by eliminate duplicate literals #[13]): ∀ (a a_1 : Iota), Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Eq (cA (skS.0 1 a_1)) True))
% 6.17/6.42 Clause #16 (by clausification #[3]): Eq (∀ (Xx : Iota), cA Xx → cB Xx) True
% 6.17/6.42 Clause #17 (by clausification #[3]): Eq cG False
% 6.17/6.42 Clause #18 (by clausification #[16]): ∀ (a : Iota), Eq (cA a → cB a) True
% 6.17/6.42 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cA a) False) (Eq (cB a) True)
% 6.17/6.42 Clause #22 (by backward demodulation #[17, 15]): ∀ (a a_1 : Iota), Or (Eq False True) (Or (Eq (cA (skS.0 0 a)) True) (Eq (cA (skS.0 1 a_1)) True))
% 6.17/6.42 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq (cA (skS.0 1 a_1)) True)
% 6.17/6.42 Clause #25 (by superposition #[23, 19]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq True False) (Eq (cB (skS.0 1 a_1)) True))
% 6.17/6.42 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 1 a_1)) True)
% 6.17/6.42 Clause #27 (by superposition #[26, 19]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Eq True False) (Eq (cB (skS.0 0 a_1)) True))
% 6.17/6.42 Clause #28 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq cG True) (Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Eq (cA (skS.0 1 a_1)) True)))
% 6.17/6.42 Clause #29 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq cG True) (Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Eq (cB (skS.0 1 a_1)) False)))
% 6.17/6.42 Clause #30 (by eliminate duplicate literals #[28]): ∀ (a a_1 : Iota), Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Eq (cA (skS.0 1 a_1)) True))
% 6.26/6.46 Clause #31 (by forward demodulation #[30, 17]): ∀ (a a_1 : Iota), Or (Eq False True) (Or (Eq (cB (skS.0 0 a)) False) (Eq (cA (skS.0 1 a_1)) True))
% 6.26/6.46 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) False) (Eq (cA (skS.0 1 a_1)) True)
% 6.26/6.46 Clause #33 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Eq (cB (skS.0 0 a_1)) True)
% 6.26/6.46 Clause #34 (by superposition #[33, 32]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Eq True False) (Eq (cA (skS.0 1 a_1)) True))
% 6.26/6.46 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Eq (cA (skS.0 1 a_1)) True)
% 6.26/6.46 Clause #36 (by superposition #[35, 19]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Eq True False) (Eq (cB (skS.0 1 a_1)) True))
% 6.26/6.46 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Eq (cB (skS.0 1 a_1)) True)
% 6.26/6.46 Clause #38 (by equality factoring #[37]): ∀ (a : Iota), Or (Ne True True) (Eq (cB (skS.0 1 a)) True)
% 6.26/6.46 Clause #39 (by clausification #[38]): ∀ (a : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Eq True False) (Eq True False))
% 6.26/6.46 Clause #41 (by clausification #[39]): ∀ (a : Iota), Or (Eq (cB (skS.0 1 a)) True) (Eq True False)
% 6.26/6.46 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (cB (skS.0 1 a)) True
% 6.26/6.46 Clause #43 (by eliminate duplicate literals #[14]): ∀ (a a_1 : Iota), Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 1 a_1)) False))
% 6.26/6.46 Clause #44 (by forward demodulation #[43, 17]): ∀ (a a_1 : Iota), Or (Eq False True) (Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 1 a_1)) False))
% 6.26/6.46 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 1 a_1)) False)
% 6.26/6.46 Clause #46 (by superposition #[45, 42]): ∀ (a : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq False True)
% 6.26/6.46 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (cA (skS.0 0 a)) True
% 6.26/6.46 Clause #48 (by superposition #[47, 19]): ∀ (a : Iota), Or (Eq True False) (Eq (cB (skS.0 0 a)) True)
% 6.26/6.46 Clause #49 (by clausification #[48]): ∀ (a : Iota), Eq (cB (skS.0 0 a)) True
% 6.26/6.46 Clause #57 (by eliminate duplicate literals #[29]): ∀ (a a_1 : Iota), Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Eq (cB (skS.0 1 a_1)) False))
% 6.26/6.46 Clause #58 (by forward demodulation #[57, 17]): ∀ (a a_1 : Iota), Or (Eq False True) (Or (Eq (cB (skS.0 0 a)) False) (Eq (cB (skS.0 1 a_1)) False))
% 6.26/6.46 Clause #59 (by clausification #[58]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) False) (Eq (cB (skS.0 1 a_1)) False)
% 6.26/6.46 Clause #60 (by superposition #[59, 49]): ∀ (a : Iota), Or (Eq (cB (skS.0 1 a)) False) (Eq False True)
% 6.26/6.46 Clause #61 (by clausification #[60]): ∀ (a : Iota), Eq (cB (skS.0 1 a)) False
% 6.26/6.46 Clause #62 (by superposition #[61, 42]): Eq False True
% 6.26/6.46 Clause #63 (by clausification #[62]): False
% 6.26/6.46 SZS output end Proof for theBenchmark.p
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