TSTP Solution File: SYO381^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO381^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n014.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 : Fri Sep 1 04:22:19 EDT 2023
% Result : Theorem 3.25s 3.69s
% Output : Proof 3.25s
% 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 : SYO381^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n014.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 01:38:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.25/3.69 SZS status Theorem for theBenchmark.p
% 3.25/3.69 SZS output start Proof for theBenchmark.p
% 3.25/3.69 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xx => Iff (Exists fun Xz => ∀ (Xy : Iota), cR Xz Xy) (∀ (Xw : Iota), cR Xx Xw))) True
% 3.25/3.69 Clause #1 (by clausification #[0]): Eq (Exists fun Xx => Iff (Exists fun Xz => ∀ (Xy : Iota), cR Xz Xy) (∀ (Xw : Iota), cR Xx Xw)) False
% 3.25/3.69 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (Exists fun Xz => ∀ (Xy : Iota), cR Xz Xy) (∀ (Xw : Iota), cR a Xw)) False
% 3.25/3.69 Clause #3 (by clausification #[2]): ∀ (a : Iota), Or (Eq (Exists fun Xz => ∀ (Xy : Iota), cR Xz Xy) False) (Eq (∀ (Xw : Iota), cR a Xw) False)
% 3.25/3.69 Clause #4 (by clausification #[2]): ∀ (a : Iota), Or (Eq (Exists fun Xz => ∀ (Xy : Iota), cR Xz Xy) True) (Eq (∀ (Xw : Iota), cR a Xw) True)
% 3.25/3.69 Clause #5 (by clausification #[3]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xw : Iota), cR a Xw) False) (Eq (∀ (Xy : Iota), cR a_1 Xy) False)
% 3.25/3.69 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Or (Eq (∀ (Xy : Iota), cR a Xy) False) (Eq (Not (cR a_1 (skS.0 0 a_1 a_2))) True)
% 3.25/3.69 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (Not (cR a (skS.0 0 a a_1))) True) (Eq (Not (cR a_2 (skS.0 1 a_2 a_3))) True)
% 3.25/3.69 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (Not (cR a (skS.0 1 a a_1))) True) (Eq (cR a_2 (skS.0 0 a_2 a_3)) False)
% 3.25/3.69 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cR a (skS.0 0 a a_1)) False) (Eq (cR a_2 (skS.0 1 a_2 a_3)) False)
% 3.25/3.69 Clause #10 (by clausification #[4]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xw : Iota), cR a Xw) True) (Eq (∀ (Xy : Iota), cR (skS.0 2 a_1) Xy) True)
% 3.25/3.69 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Or (Eq (∀ (Xy : Iota), cR (skS.0 2 a) Xy) True) (Eq (cR a_1 a_2) True)
% 3.25/3.69 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cR a a_1) True) (Eq (cR (skS.0 2 a_2) a_3) True)
% 3.25/3.69 Clause #15 (by equality factoring #[12]): ∀ (a a_1 : Iota), Or (Ne True True) (Eq (cR (skS.0 2 a) a_1) True)
% 3.25/3.69 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (cR (skS.0 2 a) a_1) True) (Or (Eq True False) (Eq True False))
% 3.25/3.69 Clause #18 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (cR (skS.0 2 a) a_1) True) (Eq True False)
% 3.25/3.69 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (cR (skS.0 2 a) a_1) True
% 3.25/3.69 Clause #20 (by superposition #[19, 9]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cR a (skS.0 1 a a_1)) False)
% 3.25/3.69 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (cR a (skS.0 1 a a_1)) False
% 3.25/3.69 Clause #22 (by superposition #[21, 19]): Eq False True
% 3.25/3.69 Clause #24 (by clausification #[22]): False
% 3.25/3.69 SZS output end Proof for theBenchmark.p
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