TSTP Solution File: SEV067^5 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEV067^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n003.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 19:24:11 EDT 2023
% Result : Theorem 3.79s 4.01s
% Output : Proof 3.79s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV067^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 04:04:07 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.79/4.01 SZS status Theorem for theBenchmark.p
% 3.79/4.01 SZS output start Proof for theBenchmark.p
% 3.79/4.01 Clause #0 (by assumption #[]): Eq
% 3.79/4.01 (Not
% 3.79/4.01 (And
% 3.79/4.01 (And
% 3.79/4.01 (And
% 3.79/4.01 (And (And (∀ (Xx Xy Xz : a), And (cR Xx Xy) (cR Xy Xz) → cR Xx Xz) (∀ (Xx : a), cR Xx Xx))
% 3.79/4.01 (∀ (Xx Xy : a), And (cR Xx Xy) (cR Xy Xx) → Eq Xx Xy))
% 3.79/4.01 (∀ (Xx Xy : a), Or (cR Xx Xy) (cR Xy Xx)))
% 3.79/4.01 (∀ (Xu Xv : a), And (cR Xu Xv) (cS Xv) → cS Xu))
% 3.79/4.01 (∀ (Xu Xv : a), And (cR Xu Xv) (cT Xv) → cT Xu) →
% 3.79/4.01 Or (∀ (Xx : a), cS Xx → cT Xx) (∀ (Xx : a), cT Xx → cS Xx)))
% 3.79/4.01 True
% 3.79/4.01 Clause #1 (by clausification #[0]): Eq
% 3.79/4.01 (And
% 3.79/4.01 (And
% 3.79/4.01 (And
% 3.79/4.01 (And (And (∀ (Xx Xy Xz : a), And (cR Xx Xy) (cR Xy Xz) → cR Xx Xz) (∀ (Xx : a), cR Xx Xx))
% 3.79/4.01 (∀ (Xx Xy : a), And (cR Xx Xy) (cR Xy Xx) → Eq Xx Xy))
% 3.79/4.01 (∀ (Xx Xy : a), Or (cR Xx Xy) (cR Xy Xx)))
% 3.79/4.01 (∀ (Xu Xv : a), And (cR Xu Xv) (cS Xv) → cS Xu))
% 3.79/4.01 (∀ (Xu Xv : a), And (cR Xu Xv) (cT Xv) → cT Xu) →
% 3.79/4.01 Or (∀ (Xx : a), cS Xx → cT Xx) (∀ (Xx : a), cT Xx → cS Xx))
% 3.79/4.01 False
% 3.79/4.01 Clause #2 (by clausification #[1]): Eq
% 3.79/4.01 (And
% 3.79/4.01 (And
% 3.79/4.01 (And
% 3.79/4.01 (And (And (∀ (Xx Xy Xz : a), And (cR Xx Xy) (cR Xy Xz) → cR Xx Xz) (∀ (Xx : a), cR Xx Xx))
% 3.79/4.01 (∀ (Xx Xy : a), And (cR Xx Xy) (cR Xy Xx) → Eq Xx Xy))
% 3.79/4.01 (∀ (Xx Xy : a), Or (cR Xx Xy) (cR Xy Xx)))
% 3.79/4.01 (∀ (Xu Xv : a), And (cR Xu Xv) (cS Xv) → cS Xu))
% 3.79/4.01 (∀ (Xu Xv : a), And (cR Xu Xv) (cT Xv) → cT Xu))
% 3.79/4.01 True
% 3.79/4.01 Clause #3 (by clausification #[1]): Eq (Or (∀ (Xx : a), cS Xx → cT Xx) (∀ (Xx : a), cT Xx → cS Xx)) False
% 3.79/4.01 Clause #4 (by clausification #[2]): Eq (∀ (Xu Xv : a), And (cR Xu Xv) (cT Xv) → cT Xu) True
% 3.79/4.01 Clause #5 (by clausification #[2]): Eq
% 3.79/4.01 (And
% 3.79/4.01 (And
% 3.79/4.01 (And (And (∀ (Xx Xy Xz : a), And (cR Xx Xy) (cR Xy Xz) → cR Xx Xz) (∀ (Xx : a), cR Xx Xx))
% 3.79/4.01 (∀ (Xx Xy : a), And (cR Xx Xy) (cR Xy Xx) → Eq Xx Xy))
% 3.79/4.01 (∀ (Xx Xy : a), Or (cR Xx Xy) (cR Xy Xx)))
% 3.79/4.01 (∀ (Xu Xv : a), And (cR Xu Xv) (cS Xv) → cS Xu))
% 3.79/4.01 True
% 3.79/4.01 Clause #6 (by clausification #[4]): ∀ (a_1 : a), Eq (∀ (Xv : a), And (cR a_1 Xv) (cT Xv) → cT a_1) True
% 3.79/4.01 Clause #7 (by clausification #[6]): ∀ (a_1 a : a), Eq (And (cR a_1 a) (cT a) → cT a_1) True
% 3.79/4.01 Clause #8 (by clausification #[7]): ∀ (a_1 a : a), Or (Eq (And (cR a_1 a) (cT a)) False) (Eq (cT a_1) True)
% 3.79/4.01 Clause #9 (by clausification #[8]): ∀ (a_1 a : a), Or (Eq (cT a_1) True) (Or (Eq (cR a_1 a) False) (Eq (cT a) False))
% 3.79/4.01 Clause #10 (by clausification #[3]): Eq (∀ (Xx : a), cT Xx → cS Xx) False
% 3.79/4.01 Clause #11 (by clausification #[3]): Eq (∀ (Xx : a), cS Xx → cT Xx) False
% 3.79/4.01 Clause #12 (by clausification #[10]): ∀ (a_1 : a), Eq (Not (cT (skS.0 0 a_1) → cS (skS.0 0 a_1))) True
% 3.79/4.01 Clause #13 (by clausification #[12]): ∀ (a_1 : a), Eq (cT (skS.0 0 a_1) → cS (skS.0 0 a_1)) False
% 3.79/4.01 Clause #14 (by clausification #[13]): ∀ (a_1 : a), Eq (cT (skS.0 0 a_1)) True
% 3.79/4.01 Clause #15 (by clausification #[13]): ∀ (a_1 : a), Eq (cS (skS.0 0 a_1)) False
% 3.79/4.01 Clause #16 (by clausification #[11]): ∀ (a_1 : a), Eq (Not (cS (skS.0 1 a_1) → cT (skS.0 1 a_1))) True
% 3.79/4.01 Clause #17 (by clausification #[16]): ∀ (a_1 : a), Eq (cS (skS.0 1 a_1) → cT (skS.0 1 a_1)) False
% 3.79/4.01 Clause #18 (by clausification #[17]): ∀ (a_1 : a), Eq (cS (skS.0 1 a_1)) True
% 3.79/4.01 Clause #19 (by clausification #[17]): ∀ (a_1 : a), Eq (cT (skS.0 1 a_1)) False
% 3.79/4.01 Clause #20 (by clausification #[5]): Eq (∀ (Xu Xv : a), And (cR Xu Xv) (cS Xv) → cS Xu) True
% 3.79/4.01 Clause #21 (by clausification #[5]): Eq
% 3.79/4.01 (And
% 3.79/4.01 (And (And (∀ (Xx Xy Xz : a), And (cR Xx Xy) (cR Xy Xz) → cR Xx Xz) (∀ (Xx : a), cR Xx Xx))
% 3.79/4.01 (∀ (Xx Xy : a), And (cR Xx Xy) (cR Xy Xx) → Eq Xx Xy))
% 3.79/4.01 (∀ (Xx Xy : a), Or (cR Xx Xy) (cR Xy Xx)))
% 3.79/4.01 True
% 3.79/4.01 Clause #22 (by clausification #[20]): ∀ (a_1 : a), Eq (∀ (Xv : a), And (cR a_1 Xv) (cS Xv) → cS a_1) True
% 3.79/4.01 Clause #23 (by clausification #[22]): ∀ (a_1 a : a), Eq (And (cR a_1 a) (cS a) → cS a_1) True
% 3.79/4.01 Clause #24 (by clausification #[23]): ∀ (a_1 a : a), Or (Eq (And (cR a_1 a) (cS a)) False) (Eq (cS a_1) True)
% 3.79/4.02 Clause #25 (by clausification #[24]): ∀ (a_1 a : a), Or (Eq (cS a_1) True) (Or (Eq (cR a_1 a) False) (Eq (cS a) False))
% 3.79/4.02 Clause #26 (by clausification #[21]): Eq (∀ (Xx Xy : a), Or (cR Xx Xy) (cR Xy Xx)) True
% 3.79/4.02 Clause #28 (by clausification #[26]): ∀ (a_1 : a), Eq (∀ (Xy : a), Or (cR a_1 Xy) (cR Xy a_1)) True
% 3.79/4.02 Clause #29 (by clausification #[28]): ∀ (a_1 a : a), Eq (Or (cR a_1 a) (cR a a_1)) True
% 3.79/4.02 Clause #30 (by clausification #[29]): ∀ (a_1 a : a), Or (Eq (cR a_1 a) True) (Eq (cR a a_1) True)
% 3.79/4.02 Clause #31 (by superposition #[30, 9]): ∀ (a_1 a : a), Or (Eq (cR a_1 a) True) (Or (Eq (cT a) True) (Or (Eq True False) (Eq (cT a_1) False)))
% 3.79/4.02 Clause #53 (by clausification #[31]): ∀ (a_1 a : a), Or (Eq (cR a_1 a) True) (Or (Eq (cT a) True) (Eq (cT a_1) False))
% 3.79/4.02 Clause #54 (by superposition #[53, 14]): ∀ (a_1 a_2 : a), Or (Eq (cR (skS.0 0 a_1) a_2) True) (Or (Eq (cT a_2) True) (Eq False True))
% 3.79/4.02 Clause #74 (by clausification #[54]): ∀ (a_1 a_2 : a), Or (Eq (cR (skS.0 0 a_1) a_2) True) (Eq (cT a_2) True)
% 3.79/4.02 Clause #76 (by superposition #[74, 25]): ∀ (a_1 a_2 : a), Or (Eq (cT a_1) True) (Or (Eq (cS (skS.0 0 a_2)) True) (Or (Eq True False) (Eq (cS a_1) False)))
% 3.79/4.02 Clause #103 (by clausification #[76]): ∀ (a_1 a_2 : a), Or (Eq (cT a_1) True) (Or (Eq (cS (skS.0 0 a_2)) True) (Eq (cS a_1) False))
% 3.79/4.02 Clause #104 (by superposition #[103, 18]): ∀ (a_1 a_2 : a), Or (Eq (cT (skS.0 1 a_1)) True) (Or (Eq (cS (skS.0 0 a_2)) True) (Eq False True))
% 3.79/4.02 Clause #285 (by clausification #[104]): ∀ (a_1 a_2 : a), Or (Eq (cT (skS.0 1 a_1)) True) (Eq (cS (skS.0 0 a_2)) True)
% 3.79/4.02 Clause #291 (by superposition #[285, 15]): ∀ (a_1 : a), Or (Eq (cT (skS.0 1 a_1)) True) (Eq True False)
% 3.79/4.02 Clause #297 (by clausification #[291]): ∀ (a_1 : a), Eq (cT (skS.0 1 a_1)) True
% 3.79/4.02 Clause #298 (by superposition #[297, 19]): Eq True False
% 3.79/4.02 Clause #302 (by clausification #[298]): False
% 3.79/4.02 SZS output end Proof for theBenchmark.p
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