TSTP Solution File: SEU511^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU511^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 16:42:25 EDT 2023
% Result : Theorem 3.70s 3.86s
% Output : Proof 3.70s
% 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 : SEU511^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n013.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 : Wed Aug 23 14:34:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.70/3.86 SZS status Theorem for theBenchmark.p
% 3.70/3.86 SZS output start Proof for theBenchmark.p
% 3.70/3.86 Clause #0 (by assumption #[]): Eq (Eq emptysetE (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi)) True
% 3.70/3.86 Clause #1 (by assumption #[]): Eq (Eq nonempty fun Xx => Ne Xx emptyset) True
% 3.70/3.86 Clause #2 (by assumption #[]): Eq (Not (emptysetE → ∀ (A : Iota), (Exists fun Xx => in Xx A) → nonempty A)) True
% 3.70/3.86 Clause #3 (by clausification #[2]): Eq (emptysetE → ∀ (A : Iota), (Exists fun Xx => in Xx A) → nonempty A) False
% 3.70/3.86 Clause #4 (by clausification #[3]): Eq emptysetE True
% 3.70/3.86 Clause #5 (by clausification #[3]): Eq (∀ (A : Iota), (Exists fun Xx => in Xx A) → nonempty A) False
% 3.70/3.86 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (Not ((Exists fun Xx => in Xx (skS.0 0 a)) → nonempty (skS.0 0 a))) True
% 3.70/3.86 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq ((Exists fun Xx => in Xx (skS.0 0 a)) → nonempty (skS.0 0 a)) False
% 3.70/3.86 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (Exists fun Xx => in Xx (skS.0 0 a)) True
% 3.70/3.86 Clause #9 (by clausification #[7]): ∀ (a : Iota), Eq (nonempty (skS.0 0 a)) False
% 3.70/3.86 Clause #10 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (in (skS.0 1 a a_1) (skS.0 0 a)) True
% 3.70/3.86 Clause #11 (by clausification #[0]): Eq emptysetE (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi)
% 3.70/3.86 Clause #12 (by forward demodulation #[11, 4]): Eq True (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi)
% 3.70/3.86 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (in a emptyset → ∀ (Xphi : Prop), Xphi) True
% 3.70/3.86 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (in a emptyset) False) (Eq (∀ (Xphi : Prop), Xphi) True)
% 3.70/3.86 Clause #15 (by clausification #[14]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (in a emptyset) False) (Eq a_1 True)
% 3.70/3.86 Clause #16 (by clausification #[1]): Eq nonempty fun Xx => Ne Xx emptyset
% 3.70/3.86 Clause #17 (by argument congruence #[16]): ∀ (a : Iota), Eq (nonempty a) ((fun Xx => Ne Xx emptyset) a)
% 3.70/3.86 Clause #18 (by betaEtaReduce #[17]): ∀ (a : Iota), Eq (nonempty a) (Ne a emptyset)
% 3.70/3.86 Clause #21 (by neHoist #[18]): ∀ (a : Iota), Or (Eq (nonempty a) True) (Eq a emptyset)
% 3.70/3.86 Clause #22 (by superposition #[21, 9]): ∀ (a : Iota), Or (Eq (skS.0 0 a) emptyset) (Eq True False)
% 3.70/3.86 Clause #48 (by clausification #[22]): ∀ (a : Iota), Eq (skS.0 0 a) emptyset
% 3.70/3.86 Clause #49 (by backward demodulation #[48, 10]): ∀ (a a_1 : Iota), Eq (in (skS.0 1 a a_1) emptyset) True
% 3.70/3.86 Clause #60 (by superposition #[49, 15]): ∀ (a : Prop), Or (Eq True False) (Eq a True)
% 3.70/3.86 Clause #67 (by clausification #[60]): ∀ (a : Prop), Eq a True
% 3.70/3.86 Clause #69 (by falseElim #[67]): False
% 3.70/3.86 SZS output end Proof for theBenchmark.p
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