TSTP Solution File: SEU581^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU581^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 16:42:50 EDT 2023
% Result : Theorem 3.63s 3.78s
% 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
% 0.07/0.13 % Problem : SEU581^2 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.14 % Command : duper %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 00:46:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.63/3.78 SZS status Theorem for theBenchmark.p
% 3.63/3.78 SZS output start Proof for theBenchmark.p
% 3.63/3.78 Clause #0 (by assumption #[]): Eq (Eq powersetE1 (∀ (A B : Iota), in B (powerset A) → subset B A)) True
% 3.63/3.78 Clause #1 (by assumption #[]): Eq (Eq sepInPowerset (∀ (A : Iota) (Xphi : Iota → Prop), in (dsetconstr A fun Xx => Xphi Xx) (powerset A))) True
% 3.63/3.78 Clause #2 (by assumption #[]): Eq (Not (powersetE1 → sepInPowerset → ∀ (A : Iota) (Xphi : Iota → Prop), subset (dsetconstr A fun Xx => Xphi Xx) A))
% 3.63/3.78 True
% 3.63/3.78 Clause #3 (by clausification #[0]): Eq powersetE1 (∀ (A B : Iota), in B (powerset A) → subset B A)
% 3.63/3.78 Clause #16 (by betaEtaReduce #[2]): Eq (Not (powersetE1 → sepInPowerset → ∀ (A : Iota) (Xphi : Iota → Prop), subset (dsetconstr A Xphi) A)) True
% 3.63/3.78 Clause #17 (by clausification #[16]): Eq (powersetE1 → sepInPowerset → ∀ (A : Iota) (Xphi : Iota → Prop), subset (dsetconstr A Xphi) A) False
% 3.63/3.78 Clause #18 (by clausification #[17]): Eq powersetE1 True
% 3.63/3.78 Clause #19 (by clausification #[17]): Eq (sepInPowerset → ∀ (A : Iota) (Xphi : Iota → Prop), subset (dsetconstr A Xphi) A) False
% 3.63/3.78 Clause #20 (by backward demodulation #[18, 3]): Eq True (∀ (A B : Iota), in B (powerset A) → subset B A)
% 3.63/3.78 Clause #23 (by betaEtaReduce #[1]): Eq (Eq sepInPowerset (∀ (A : Iota) (Xphi : Iota → Prop), in (dsetconstr A Xphi) (powerset A))) True
% 3.63/3.78 Clause #24 (by clausification #[23]): Eq sepInPowerset (∀ (A : Iota) (Xphi : Iota → Prop), in (dsetconstr A Xphi) (powerset A))
% 3.63/3.78 Clause #28 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (B : Iota), in B (powerset a) → subset B a) True
% 3.63/3.78 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (in a (powerset a_1) → subset a a_1) True
% 3.63/3.78 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Or (Eq (in a (powerset a_1)) False) (Eq (subset a a_1) True)
% 3.63/3.78 Clause #31 (by clausification #[19]): Eq sepInPowerset True
% 3.63/3.78 Clause #32 (by clausification #[19]): Eq (∀ (A : Iota) (Xphi : Iota → Prop), subset (dsetconstr A Xphi) A) False
% 3.63/3.78 Clause #33 (by backward demodulation #[31, 24]): Eq True (∀ (A : Iota) (Xphi : Iota → Prop), in (dsetconstr A Xphi) (powerset A))
% 3.63/3.78 Clause #34 (by clausification #[32]): ∀ (a : Iota), Eq (Not (∀ (Xphi : Iota → Prop), subset (dsetconstr (skS.0 2 a) Xphi) (skS.0 2 a))) True
% 3.63/3.78 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (Xphi : Iota → Prop), subset (dsetconstr (skS.0 2 a) Xphi) (skS.0 2 a)) False
% 3.63/3.78 Clause #36 (by clausification #[35]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (Not (subset (dsetconstr (skS.0 2 a) (skS.0 3 a a_1)) (skS.0 2 a))) True
% 3.63/3.78 Clause #37 (by clausification #[36]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (subset (dsetconstr (skS.0 2 a) (skS.0 3 a a_1)) (skS.0 2 a)) False
% 3.63/3.78 Clause #38 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (Xphi : Iota → Prop), in (dsetconstr a Xphi) (powerset a)) True
% 3.63/3.78 Clause #39 (by clausification #[38]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (in (dsetconstr a a_1) (powerset a)) True
% 3.63/3.78 Clause #40 (by superposition #[39, 30]): ∀ (a : Iota) (a_1 : Iota → Prop), Or (Eq True False) (Eq (subset (dsetconstr a a_1) a) True)
% 3.63/3.78 Clause #41 (by clausification #[40]): ∀ (a : Iota) (a_1 : Iota → Prop), Eq (subset (dsetconstr a a_1) a) True
% 3.63/3.78 Clause #42 (by superposition #[41, 37]): Eq True False
% 3.63/3.78 Clause #44 (by clausification #[42]): False
% 3.63/3.78 SZS output end Proof for theBenchmark.p
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