TSTP Solution File: SEU143+2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU143+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 16:40:24 EDT 2023
% Result : Theorem 10.95s 11.20s
% Output : Proof 10.95s
% 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 : SEU143+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : duper %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 01:42:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 10.95/11.20 SZS status Theorem for theBenchmark.p
% 10.95/11.20 SZS output start Proof for theBenchmark.p
% 10.95/11.20 Clause #6 (by assumption #[]): Eq (∀ (A B : Iota), Iff (Eq B (singleton A)) (∀ (C : Iota), Iff (in C B) (Eq C A))) True
% 10.95/11.20 Clause #16 (by assumption #[]): Eq (empty empty_set) True
% 10.95/11.20 Clause #22 (by assumption #[]): Eq (Not (∀ (A : Iota), Ne (singleton A) empty_set)) True
% 10.95/11.20 Clause #53 (by assumption #[]): Eq (∀ (A B : Iota), Not (And (in A B) (empty B))) True
% 10.95/11.20 Clause #90 (by clausification #[22]): Eq (∀ (A : Iota), Ne (singleton A) empty_set) False
% 10.95/11.20 Clause #91 (by clausification #[90]): ∀ (a : Iota), Eq (Not (Ne (singleton (skS.0 2 a)) empty_set)) True
% 10.95/11.20 Clause #92 (by clausification #[91]): ∀ (a : Iota), Eq (Ne (singleton (skS.0 2 a)) empty_set) False
% 10.95/11.20 Clause #93 (by clausification #[92]): ∀ (a : Iota), Eq (singleton (skS.0 2 a)) empty_set
% 10.95/11.20 Clause #175 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (Eq B (singleton a)) (∀ (C : Iota), Iff (in C B) (Eq C a))) True
% 10.95/11.20 Clause #176 (by clausification #[175]): ∀ (a a_1 : Iota), Eq (Iff (Eq a (singleton a_1)) (∀ (C : Iota), Iff (in C a) (Eq C a_1))) True
% 10.95/11.20 Clause #178 (by clausification #[176]): ∀ (a a_1 : Iota), Or (Eq (Eq a (singleton a_1)) False) (Eq (∀ (C : Iota), Iff (in C a) (Eq C a_1)) True)
% 10.95/11.20 Clause #673 (by clausification #[53]): ∀ (a : Iota), Eq (∀ (B : Iota), Not (And (in a B) (empty B))) True
% 10.95/11.20 Clause #674 (by clausification #[673]): ∀ (a a_1 : Iota), Eq (Not (And (in a a_1) (empty a_1))) True
% 10.95/11.20 Clause #675 (by clausification #[674]): ∀ (a a_1 : Iota), Eq (And (in a a_1) (empty a_1)) False
% 10.95/11.20 Clause #676 (by clausification #[675]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (empty a_1) False)
% 10.95/11.20 Clause #1100 (by clausification #[178]): ∀ (a a_1 : Iota), Or (Eq (∀ (C : Iota), Iff (in C a) (Eq C a_1)) True) (Ne a (singleton a_1))
% 10.95/11.20 Clause #1101 (by clausification #[1100]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Eq (Iff (in a_2 a) (Eq a_2 a_1)) True)
% 10.95/11.20 Clause #1102 (by clausification #[1101]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Or (Eq (in a_2 a) True) (Eq (Eq a_2 a_1) False))
% 10.95/11.20 Clause #1104 (by clausification #[1102]): ∀ (a a_1 a_2 : Iota), Or (Ne a (singleton a_1)) (Or (Eq (in a_2 a) True) (Ne a_2 a_1))
% 10.95/11.20 Clause #1105 (by destructive equality resolution #[1104]): ∀ (a a_1 : Iota), Or (Eq (in a (singleton a_1)) True) (Ne a a_1)
% 10.95/11.20 Clause #1106 (by destructive equality resolution #[1105]): ∀ (a : Iota), Eq (in a (singleton a)) True
% 10.95/11.20 Clause #1108 (by superposition #[1106, 676]): ∀ (a : Iota), Or (Eq True False) (Eq (empty (singleton a)) False)
% 10.95/11.20 Clause #1113 (by clausification #[1108]): ∀ (a : Iota), Eq (empty (singleton a)) False
% 10.95/11.20 Clause #1114 (by superposition #[1113, 93]): Eq (empty empty_set) False
% 10.95/11.20 Clause #1117 (by superposition #[1114, 16]): Eq False True
% 10.95/11.20 Clause #1122 (by clausification #[1117]): False
% 10.95/11.20 SZS output end Proof for theBenchmark.p
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