TSTP Solution File: SYO019^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO019^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 04:21:08 EDT 2023
% Result : Theorem 3.65s 3.89s
% Output : Proof 3.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO019^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 02:57:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.65/3.89 SZS status Theorem for theBenchmark.p
% 3.65/3.89 SZS output start Proof for theBenchmark.p
% 3.65/3.89 Clause #0 (by assumption #[]): Eq (Not (∀ (X Y : Prop), Iff (And X Y) (Not (Or (Not X) (Not Y))))) True
% 3.65/3.89 Clause #1 (by clausification #[0]): Eq (∀ (X Y : Prop), Iff (And X Y) (Not (Or (Not X) (Not Y)))) False
% 3.65/3.89 Clause #2 (by clausification #[1]): ∀ (a : Prop), Eq (Not (∀ (Y : Prop), Iff (And (skS.0 0 a) Y) (Not (Or (Not (skS.0 0 a)) (Not Y))))) True
% 3.65/3.89 Clause #3 (by clausification #[2]): ∀ (a : Prop), Eq (∀ (Y : Prop), Iff (And (skS.0 0 a) Y) (Not (Or (Not (skS.0 0 a)) (Not Y)))) False
% 3.65/3.89 Clause #4 (by clausification #[3]): ∀ (a a_1 : Prop),
% 3.65/3.89 Eq (Not (Iff (And (skS.0 0 a) (skS.0 1 a a_1)) (Not (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1)))))) True
% 3.65/3.89 Clause #5 (by clausification #[4]): ∀ (a a_1 : Prop), Eq (Iff (And (skS.0 0 a) (skS.0 1 a a_1)) (Not (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1))))) False
% 3.65/3.89 Clause #6 (by clausification #[5]): ∀ (a a_1 : Prop),
% 3.65/3.89 Or (Eq (And (skS.0 0 a) (skS.0 1 a a_1)) False) (Eq (Not (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1)))) False)
% 3.65/3.89 Clause #7 (by clausification #[5]): ∀ (a a_1 : Prop),
% 3.65/3.89 Or (Eq (And (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq (Not (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1)))) True)
% 3.65/3.89 Clause #8 (by clausification #[6]): ∀ (a a_1 : Prop),
% 3.65/3.89 Or (Eq (Not (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1)))) False)
% 3.65/3.89 (Or (Eq (skS.0 0 a) False) (Eq (skS.0 1 a a_1) False))
% 3.65/3.89 Clause #9 (by clausification #[8]): ∀ (a a_1 : Prop),
% 3.65/3.89 Or (Eq (skS.0 0 a) False) (Or (Eq (skS.0 1 a a_1) False) (Eq (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1))) True))
% 3.65/3.89 Clause #10 (by clausification #[9]): ∀ (a a_1 : Prop),
% 3.65/3.89 Or (Eq (skS.0 0 a) False)
% 3.65/3.89 (Or (Eq (skS.0 1 a a_1) False) (Or (Eq (Not (skS.0 0 a)) True) (Eq (Not (skS.0 1 a a_1)) True)))
% 3.65/3.89 Clause #11 (by clausification #[10]): ∀ (a a_1 : Prop),
% 3.65/3.89 Or (Eq (skS.0 0 a) False) (Or (Eq (skS.0 1 a a_1) False) (Or (Eq (Not (skS.0 1 a a_1)) True) (Eq (skS.0 0 a) False)))
% 3.65/3.89 Clause #12 (by clausification #[11]): ∀ (a a_1 : Prop),
% 3.65/3.89 Or (Eq (skS.0 0 a) False) (Or (Eq (skS.0 1 a a_1) False) (Or (Eq (skS.0 0 a) False) (Eq (skS.0 1 a a_1) False)))
% 3.65/3.89 Clause #13 (by eliminate duplicate literals #[12]): ∀ (a a_1 : Prop), Or (Eq (skS.0 0 a) False) (Eq (skS.0 1 a a_1) False)
% 3.65/3.89 Clause #15 (by identity boolHoist #[13]): ∀ (a a_1 : Prop), Or (Eq (skS.0 1 a a_1) False) (Or (Eq (skS.0 0 False) False) (Eq a True))
% 3.65/3.89 Clause #22 (by identity boolHoist #[15]): ∀ (a a_1 : Prop), Or (Eq (skS.0 0 False) False) (Or (Eq a True) (Or (Eq (skS.0 1 a False) False) (Eq a_1 True)))
% 3.65/3.89 Clause #29 (by identity boolHoist #[22]): ∀ (a a_1 : Prop),
% 3.65/3.89 Or (Eq (skS.0 0 False) False) (Or (Eq a True) (Or (Eq a_1 True) (Or (Eq (skS.0 1 False False) False) (Eq a True))))
% 3.65/3.89 Clause #31 (by clausification #[7]): ∀ (a a_1 : Prop), Or (Eq (Not (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1)))) True) (Eq (skS.0 1 a a_1) True)
% 3.65/3.89 Clause #32 (by clausification #[7]): ∀ (a a_1 : Prop), Or (Eq (Not (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1)))) True) (Eq (skS.0 0 a) True)
% 3.65/3.89 Clause #33 (by clausification #[31]): ∀ (a a_1 : Prop), Or (Eq (skS.0 1 a a_1) True) (Eq (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1))) False)
% 3.65/3.89 Clause #34 (by clausification #[33]): ∀ (a a_1 : Prop), Or (Eq (skS.0 1 a a_1) True) (Eq (Not (skS.0 1 a a_1)) False)
% 3.65/3.89 Clause #36 (by clausification #[34]): ∀ (a a_1 : Prop), Or (Eq (skS.0 1 a a_1) True) (Eq (skS.0 1 a a_1) True)
% 3.65/3.89 Clause #37 (by eliminate duplicate literals #[36]): ∀ (a a_1 : Prop), Eq (skS.0 1 a a_1) True
% 3.65/3.89 Clause #39 (by identity boolHoist #[37]): ∀ (a a_1 : Prop), Or (Eq (skS.0 1 a False) True) (Eq a_1 True)
% 3.65/3.89 Clause #45 (by identity boolHoist #[39]): ∀ (a a_1 : Prop), Or (Eq a True) (Or (Eq (skS.0 1 False False) True) (Eq a_1 True))
% 3.65/3.89 Clause #58 (by equality factoring #[45]): ∀ (a : Prop), Or (Eq (skS.0 1 False False) True) (Or (Ne True True) (Eq a True))
% 3.65/3.89 Clause #59 (by clausification #[58]): ∀ (a : Prop), Or (Eq (skS.0 1 False False) True) (Or (Eq a True) (Or (Eq True False) (Eq True False)))
% 3.65/3.89 Clause #61 (by clausification #[59]): ∀ (a : Prop), Or (Eq (skS.0 1 False False) True) (Or (Eq a True) (Eq True False))
% 3.75/3.91 Clause #62 (by clausification #[61]): ∀ (a : Prop), Or (Eq (skS.0 1 False False) True) (Eq a True)
% 3.75/3.91 Clause #63 (by equality factoring #[62]): Or (Ne True True) (Eq (skS.0 1 False False) True)
% 3.75/3.91 Clause #65 (by clausification #[63]): Or (Eq (skS.0 1 False False) True) (Or (Eq True False) (Eq True False))
% 3.75/3.91 Clause #67 (by clausification #[65]): Or (Eq (skS.0 1 False False) True) (Eq True False)
% 3.75/3.91 Clause #68 (by clausification #[67]): Eq (skS.0 1 False False) True
% 3.75/3.91 Clause #77 (by eliminate duplicate literals #[29]): ∀ (a a_1 : Prop), Or (Eq (skS.0 0 False) False) (Or (Eq a True) (Or (Eq a_1 True) (Eq (skS.0 1 False False) False)))
% 3.75/3.91 Clause #87 (by clausification #[32]): ∀ (a a_1 : Prop), Or (Eq (skS.0 0 a) True) (Eq (Or (Not (skS.0 0 a)) (Not (skS.0 1 a a_1))) False)
% 3.75/3.91 Clause #89 (by clausification #[87]): ∀ (a : Prop), Or (Eq (skS.0 0 a) True) (Eq (Not (skS.0 0 a)) False)
% 3.75/3.91 Clause #98 (by clausification #[89]): ∀ (a : Prop), Or (Eq (skS.0 0 a) True) (Eq (skS.0 0 a) True)
% 3.75/3.91 Clause #99 (by eliminate duplicate literals #[98]): ∀ (a : Prop), Eq (skS.0 0 a) True
% 3.75/3.91 Clause #101 (by identity boolHoist #[99]): ∀ (a : Prop), Or (Eq (skS.0 0 False) True) (Eq a True)
% 3.75/3.91 Clause #108 (by equality factoring #[101]): Or (Ne True True) (Eq (skS.0 0 False) True)
% 3.75/3.91 Clause #110 (by clausification #[108]): Or (Eq (skS.0 0 False) True) (Or (Eq True False) (Eq True False))
% 3.75/3.91 Clause #112 (by clausification #[110]): Or (Eq (skS.0 0 False) True) (Eq True False)
% 3.75/3.91 Clause #113 (by clausification #[112]): Eq (skS.0 0 False) True
% 3.75/3.91 Clause #115 (by backward demodulation #[113, 77]): ∀ (a a_1 : Prop), Or (Eq True False) (Or (Eq a True) (Or (Eq a_1 True) (Eq (skS.0 1 False False) False)))
% 3.75/3.91 Clause #124 (by clausification #[115]): ∀ (a a_1 : Prop), Or (Eq a True) (Or (Eq a_1 True) (Eq (skS.0 1 False False) False))
% 3.75/3.91 Clause #125 (by superposition #[124, 68]): ∀ (a a_1 : Prop), Or (Eq a True) (Or (Eq a_1 True) (Eq False True))
% 3.75/3.91 Clause #126 (by clausification #[125]): ∀ (a a_1 : Prop), Or (Eq a True) (Eq a_1 True)
% 3.75/3.91 Clause #131 (by falseElim #[126]): ∀ (a : Prop), Eq a True
% 3.75/3.91 Clause #132 (by falseElim #[131]): False
% 3.75/3.91 SZS output end Proof for theBenchmark.p
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