TSTP Solution File: SET019+4 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SET019+4 : TPTP v8.1.2. Released v2.2.0.
% 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 14:45:05 EDT 2023
% Result : Theorem 85.50s 85.80s
% Output : Proof 85.50s
% 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 : SET019+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % 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 : Sat Aug 26 15:37:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 85.50/85.80 SZS status Theorem for theBenchmark.p
% 85.50/85.80 SZS output start Proof for theBenchmark.p
% 85.50/85.80 Clause #1 (by assumption #[]): Eq (∀ (A B : Iota), Iff (equal_set A B) (And (subset A B) (subset B A))) True
% 85.50/85.80 Clause #11 (by assumption #[]): Eq (Not (∀ (A B : Iota), And (subset A B) (subset B A) → equal_set A B)) True
% 85.50/85.80 Clause #14 (by clausification #[11]): Eq (∀ (A B : Iota), And (subset A B) (subset B A) → equal_set A B) False
% 85.50/85.80 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), And (subset (skS.0 0 a) B) (subset B (skS.0 0 a)) → equal_set (skS.0 0 a) B)) True
% 85.50/85.80 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (B : Iota), And (subset (skS.0 0 a) B) (subset B (skS.0 0 a)) → equal_set (skS.0 0 a) B) False
% 85.50/85.80 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 85.50/85.80 Eq
% 85.50/85.80 (Not
% 85.50/85.80 (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) (skS.0 0 a)) →
% 85.50/85.80 equal_set (skS.0 0 a) (skS.0 1 a a_1)))
% 85.50/85.80 True
% 85.50/85.80 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 85.50/85.80 Eq
% 85.50/85.80 (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) (skS.0 0 a)) →
% 85.50/85.80 equal_set (skS.0 0 a) (skS.0 1 a a_1))
% 85.50/85.80 False
% 85.50/85.80 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (And (subset (skS.0 0 a) (skS.0 1 a a_1)) (subset (skS.0 1 a a_1) (skS.0 0 a))) True
% 85.50/85.80 Clause #20 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (equal_set (skS.0 0 a) (skS.0 1 a a_1)) False
% 85.50/85.80 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (subset (skS.0 1 a a_1) (skS.0 0 a)) True
% 85.50/85.80 Clause #22 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (subset (skS.0 0 a) (skS.0 1 a a_1)) True
% 85.50/85.80 Clause #38 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (equal_set a B) (And (subset a B) (subset B a))) True
% 85.50/85.80 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (Iff (equal_set a a_1) (And (subset a a_1) (subset a_1 a))) True
% 85.50/85.80 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (equal_set a a_1) True) (Eq (And (subset a a_1) (subset a_1 a)) False)
% 85.50/85.80 Clause #42 (by clausification #[40]): ∀ (a a_1 : Iota), Or (Eq (equal_set a a_1) True) (Or (Eq (subset a a_1) False) (Eq (subset a_1 a) False))
% 85.50/85.80 Clause #294 (by superposition #[22, 42]): ∀ (a a_1 : Iota),
% 85.50/85.80 Or (Eq (equal_set (skS.0 0 a) (skS.0 1 a a_1)) True)
% 85.50/85.80 (Or (Eq (subset (skS.0 1 a a_1) (skS.0 0 a)) False) (Eq False True))
% 85.50/85.80 Clause #22120 (by clausification #[294]): ∀ (a a_1 : Iota), Or (Eq (equal_set (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq (subset (skS.0 1 a a_1) (skS.0 0 a)) False)
% 85.50/85.80 Clause #22121 (by forward demodulation #[22120, 21]): ∀ (a a_1 : Iota), Or (Eq (equal_set (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 85.50/85.80 Clause #22122 (by clausification #[22121]): ∀ (a a_1 : Iota), Eq (equal_set (skS.0 0 a) (skS.0 1 a a_1)) True
% 85.50/85.80 Clause #22123 (by superposition #[22122, 20]): Eq True False
% 85.50/85.80 Clause #22124 (by clausification #[22123]): False
% 85.50/85.80 SZS output end Proof for theBenchmark.p
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