TSTP Solution File: SEU514^2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU514^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 16:42:26 EDT 2023
% Result : Theorem 3.64s 3.80s
% Output : Proof 3.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU514^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : duper %s
% 0.15/0.34 % Computer : n006.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Wed Aug 23 15:06:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.64/3.80 SZS status Theorem for theBenchmark.p
% 3.64/3.80 SZS output start Proof for theBenchmark.p
% 3.64/3.80 Clause #0 (by assumption #[]): Eq (Eq setadjoinAx (∀ (Xx A Xy : Iota), Iff (in Xy (setadjoin Xx A)) (Or (Eq Xy Xx) (in Xy A)))) True
% 3.64/3.80 Clause #1 (by assumption #[]): Eq (Not (setadjoinAx → ∀ (Xx A Xy : Iota), in Xy A → in Xy (setadjoin Xx A))) True
% 3.64/3.80 Clause #2 (by clausification #[1]): Eq (setadjoinAx → ∀ (Xx A Xy : Iota), in Xy A → in Xy (setadjoin Xx A)) False
% 3.64/3.80 Clause #3 (by clausification #[2]): Eq setadjoinAx True
% 3.64/3.80 Clause #4 (by clausification #[2]): Eq (∀ (Xx A Xy : Iota), in Xy A → in Xy (setadjoin Xx A)) False
% 3.64/3.80 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (Not (∀ (A Xy : Iota), in Xy A → in Xy (setadjoin (skS.0 0 a) A))) True
% 3.64/3.80 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (A Xy : Iota), in Xy A → in Xy (setadjoin (skS.0 0 a) A)) False
% 3.64/3.80 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (Not (∀ (Xy : Iota), in Xy (skS.0 1 a a_1) → in Xy (setadjoin (skS.0 0 a) (skS.0 1 a a_1)))) True
% 3.64/3.80 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (∀ (Xy : Iota), in Xy (skS.0 1 a a_1) → in Xy (setadjoin (skS.0 0 a) (skS.0 1 a a_1))) False
% 3.64/3.80 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota),
% 3.64/3.80 Eq (Not (in (skS.0 2 a a_1 a_2) (skS.0 1 a a_1) → in (skS.0 2 a a_1 a_2) (setadjoin (skS.0 0 a) (skS.0 1 a a_1))))
% 3.64/3.80 True
% 3.64/3.80 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 3.64/3.80 Eq (in (skS.0 2 a a_1 a_2) (skS.0 1 a a_1) → in (skS.0 2 a a_1 a_2) (setadjoin (skS.0 0 a) (skS.0 1 a a_1))) False
% 3.64/3.80 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 3.64/3.80 Clause #12 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (setadjoin (skS.0 0 a) (skS.0 1 a a_1))) False
% 3.64/3.80 Clause #13 (by clausification #[0]): Eq setadjoinAx (∀ (Xx A Xy : Iota), Iff (in Xy (setadjoin Xx A)) (Or (Eq Xy Xx) (in Xy A)))
% 3.64/3.80 Clause #14 (by forward demodulation #[13, 3]): Eq True (∀ (Xx A Xy : Iota), Iff (in Xy (setadjoin Xx A)) (Or (Eq Xy Xx) (in Xy A)))
% 3.64/3.80 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (A Xy : Iota), Iff (in Xy (setadjoin a A)) (Or (Eq Xy a) (in Xy A))) True
% 3.64/3.80 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (∀ (Xy : Iota), Iff (in Xy (setadjoin a a_1)) (Or (Eq Xy a) (in Xy a_1))) True
% 3.64/3.80 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), Eq (Iff (in a (setadjoin a_1 a_2)) (Or (Eq a a_1) (in a a_2))) True
% 3.64/3.80 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setadjoin a_1 a_2)) True) (Eq (Or (Eq a a_1) (in a a_2)) False)
% 3.64/3.80 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (setadjoin a_1 a_2)) True) (Eq (in a a_2) False)
% 3.64/3.80 Clause #22 (by superposition #[20, 11]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (in (skS.0 2 a a_1 a_2) (setadjoin a_3 (skS.0 1 a a_1))) True) (Eq False True)
% 3.64/3.80 Clause #40 (by clausification #[22]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 2 a a_1 a_2) (setadjoin a_3 (skS.0 1 a a_1))) True
% 3.64/3.80 Clause #41 (by superposition #[40, 12]): Eq True False
% 3.64/3.80 Clause #44 (by clausification #[41]): False
% 3.64/3.80 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------