TSTP Solution File: SEV413^5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEV413^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 19:24:56 EDT 2023
% Result : Theorem 3.84s 4.02s
% Output : Proof 3.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV413^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 04:21:23 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.84/4.02 SZS status Theorem for theBenchmark.p
% 3.84/4.02 SZS output start Proof for theBenchmark.p
% 3.84/4.02 Clause #0 (by assumption #[]): Eq
% 3.84/4.02 (Not
% 3.84/4.02 (Or (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx) →
% 3.84/4.02 And (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx)))
% 3.84/4.02 True
% 3.84/4.02 Clause #1 (by clausification #[0]): Eq
% 3.84/4.02 (Or (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx) →
% 3.84/4.02 And (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx))
% 3.84/4.02 False
% 3.84/4.02 Clause #2 (by clausification #[1]): Eq (Or (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx)) True
% 3.84/4.02 Clause #3 (by clausification #[1]): Eq (And (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx)) False
% 3.84/4.02 Clause #4 (by clausification #[2]): Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) True) (Eq (∀ (Xx : Iota), cA Xx → cB Xx) True)
% 3.84/4.02 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) True) (Eq (cA a → cB a) True)
% 3.84/4.02 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (cA a → cB a) True) (Eq (cA a_1 → cB a_1) True)
% 3.84/4.02 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (cA a → cB a) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True))
% 3.84/4.02 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cA a) False) (Or (Eq (cB a) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True)))
% 3.84/4.02 Clause #9 (by clausification #[3]): Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False) (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False)
% 3.84/4.02 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False) (Eq (Not (cA (skS.0 0 a) → cB (skS.0 0 a))) True)
% 3.84/4.02 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota),
% 3.84/4.02 Or (Eq (Not (cA (skS.0 0 a) → cB (skS.0 0 a))) True) (Eq (Not (cA (skS.0 1 a_1) → cB (skS.0 1 a_1))) True)
% 3.84/4.02 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (Not (cA (skS.0 1 a) → cB (skS.0 1 a))) True) (Eq (cA (skS.0 0 a_1) → cB (skS.0 0 a_1)) False)
% 3.84/4.02 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a) → cB (skS.0 0 a)) False) (Eq (cA (skS.0 1 a_1) → cB (skS.0 1 a_1)) False)
% 3.84/4.02 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a) → cB (skS.0 1 a)) False) (Eq (cA (skS.0 0 a_1)) True)
% 3.84/4.02 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a) → cB (skS.0 1 a)) False) (Eq (cB (skS.0 0 a_1)) False)
% 3.84/4.02 Clause #16 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq (cA (skS.0 1 a_1)) True)
% 3.84/4.02 Clause #17 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 1 a_1)) False)
% 3.84/4.02 Clause #18 (by superposition #[16, 8]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.02 Or (Eq (cA (skS.0 1 a)) True)
% 3.84/4.02 (Or (Eq True False) (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA a_2) False) (Eq (cB a_2) True))))
% 3.84/4.02 Clause #20 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) False) (Eq (cA (skS.0 1 a_1)) True)
% 3.84/4.02 Clause #21 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) False) (Eq (cB (skS.0 1 a_1)) False)
% 3.84/4.02 Clause #22 (by clausification #[18]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.02 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA a_2) False) (Eq (cB a_2) True)))
% 3.84/4.02 Clause #23 (by superposition #[22, 16]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.02 Or (Eq (cA (skS.0 1 a)) True)
% 3.84/4.02 (Or (Eq (cB (skS.0 0 a_1)) True)
% 3.84/4.02 (Or (Eq (cB (skS.0 0 a_2)) True) (Or (Eq False True) (Eq (cA (skS.0 1 a_3)) True))))
% 3.84/4.02 Clause #29 (by clausification #[23]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.02 Or (Eq (cA (skS.0 1 a)) True)
% 3.84/4.02 (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 1 a_3)) True)))
% 3.84/4.02 Clause #39 (by equality factoring #[29]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.02 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Ne True True) (Eq (cB (skS.0 0 a_2)) True)))
% 3.84/4.02 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.02 Or (Eq (cA (skS.0 1 a)) True)
% 3.84/4.02 (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Or (Eq True False) (Eq True False))))
% 3.84/4.02 Clause #42 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.04 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq True False)))
% 3.84/4.04 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 0 a_2)) True))
% 3.84/4.04 Clause #49 (by equality factoring #[43]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Ne True True) (Eq (cA (skS.0 1 a_1)) True))
% 3.84/4.04 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq True False) (Eq True False)))
% 3.84/4.04 Clause #52 (by clausification #[50]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq True False))
% 3.84/4.04 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq (cA (skS.0 1 a_1)) True)
% 3.84/4.04 Clause #54 (by superposition #[53, 20]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq True False) (Eq (cA (skS.0 1 a_1)) True))
% 3.84/4.04 Clause #60 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Eq (cA (skS.0 1 a_1)) True)
% 3.84/4.04 Clause #63 (by equality factoring #[60]): ∀ (a : Iota), Or (Ne True True) (Eq (cA (skS.0 1 a)) True)
% 3.84/4.04 Clause #64 (by clausification #[63]): ∀ (a : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq True False) (Eq True False))
% 3.84/4.04 Clause #66 (by clausification #[64]): ∀ (a : Iota), Or (Eq (cA (skS.0 1 a)) True) (Eq True False)
% 3.84/4.04 Clause #67 (by clausification #[66]): ∀ (a : Iota), Eq (cA (skS.0 1 a)) True
% 3.84/4.04 Clause #68 (by superposition #[67, 8]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cB (skS.0 1 a)) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True)))
% 3.84/4.04 Clause #70 (by clausification #[68]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True))
% 3.84/4.04 Clause #71 (by superposition #[70, 67]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Eq (cB (skS.0 1 a_1)) True) (Eq False True))
% 3.84/4.04 Clause #80 (by clausification #[71]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Eq (cB (skS.0 1 a_1)) True)
% 3.84/4.04 Clause #82 (by equality factoring #[80]): ∀ (a : Iota), Or (Ne True True) (Eq (cB (skS.0 1 a)) True)
% 3.84/4.04 Clause #83 (by clausification #[82]): ∀ (a : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Eq True False) (Eq True False))
% 3.84/4.04 Clause #85 (by clausification #[83]): ∀ (a : Iota), Or (Eq (cB (skS.0 1 a)) True) (Eq True False)
% 3.84/4.04 Clause #86 (by clausification #[85]): ∀ (a : Iota), Eq (cB (skS.0 1 a)) True
% 3.84/4.04 Clause #87 (by superposition #[86, 17]): ∀ (a : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq True False)
% 3.84/4.04 Clause #88 (by clausification #[87]): ∀ (a : Iota), Eq (cA (skS.0 0 a)) True
% 3.84/4.04 Clause #89 (by superposition #[88, 8]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True)))
% 3.84/4.04 Clause #90 (by clausification #[89]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA a_1) False) (Eq (cB a_1) True))
% 3.84/4.04 Clause #92 (by superposition #[90, 88]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq False True))
% 3.84/4.04 Clause #95 (by clausification #[92]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq (cB (skS.0 0 a_1)) True)
% 3.84/4.04 Clause #97 (by equality factoring #[95]): ∀ (a : Iota), Or (Ne True True) (Eq (cB (skS.0 0 a)) True)
% 3.84/4.04 Clause #98 (by clausification #[97]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq True False) (Eq True False))
% 3.84/4.04 Clause #100 (by clausification #[98]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq True False)
% 3.84/4.04 Clause #101 (by clausification #[100]): ∀ (a : Iota), Eq (cB (skS.0 0 a)) True
% 3.84/4.04 Clause #102 (by superposition #[101, 21]): ∀ (a : Iota), Or (Eq True False) (Eq (cB (skS.0 1 a)) False)
% 3.84/4.04 Clause #103 (by clausification #[102]): ∀ (a : Iota), Eq (cB (skS.0 1 a)) False
% 3.84/4.04 Clause #104 (by superposition #[103, 86]): Eq False True
% 3.84/4.04 Clause #105 (by clausification #[104]): False
% 3.84/4.04 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------