TSTP Solution File: SWW469+5 by Duper---1.0
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% File : Duper---1.0
% Problem : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% 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 : Fri Sep 1 00:26:14 EDT 2023
% Result : Theorem 47.66s 47.82s
% Output : Proof 47.66s
% 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 : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n006.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 : Sun Aug 27 19:01:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 47.66/47.82 SZS status Theorem for theBenchmark.p
% 47.66/47.82 SZS output start Proof for theBenchmark.p
% 47.66/47.82 Clause #4 (by assumption #[]): Eq (∀ (X_a : Iota), Eq (ti X_a (undefined X_a)) (undefined X_a)) True
% 47.66/47.82 Clause #17 (by assumption #[]): Eq (Iff (hBOOL hoare_1883395792gleton) (Exists fun S => Exists fun T => Ne (ti state S) (ti state T))) True
% 47.66/47.82 Clause #60 (by assumption #[]): Eq (hBOOL hoare_1883395792gleton) True
% 47.66/47.82 Clause #61 (by assumption #[]): Eq (Not (∀ (T : Iota), Not (∀ (S : Iota), Eq (ti state S) (ti state T)))) True
% 47.66/47.82 Clause #98 (by clausification #[4]): ∀ (a : Iota), Eq (Eq (ti a (undefined a)) (undefined a)) True
% 47.66/47.82 Clause #99 (by clausification #[98]): ∀ (a : Iota), Eq (ti a (undefined a)) (undefined a)
% 47.66/47.82 Clause #340 (by clausification #[17]): Or (Eq (hBOOL hoare_1883395792gleton) False) (Eq (Exists fun S => Exists fun T => Ne (ti state S) (ti state T)) True)
% 47.66/47.82 Clause #2275 (by clausification #[61]): Eq (∀ (T : Iota), Not (∀ (S : Iota), Eq (ti state S) (ti state T))) False
% 47.66/47.82 Clause #2276 (by clausification #[2275]): ∀ (a : Iota), Eq (Not (Not (∀ (S : Iota), Eq (ti state S) (ti state (skS.0 9 a))))) True
% 47.66/47.82 Clause #2277 (by clausification #[2276]): ∀ (a : Iota), Eq (Not (∀ (S : Iota), Eq (ti state S) (ti state (skS.0 9 a)))) False
% 47.66/47.82 Clause #2278 (by clausification #[2277]): ∀ (a : Iota), Eq (∀ (S : Iota), Eq (ti state S) (ti state (skS.0 9 a))) True
% 47.66/47.82 Clause #2279 (by clausification #[2278]): ∀ (a a_1 : Iota), Eq (Eq (ti state a) (ti state (skS.0 9 a_1))) True
% 47.66/47.82 Clause #2280 (by clausification #[2279]): ∀ (a a_1 : Iota), Eq (ti state a) (ti state (skS.0 9 a_1))
% 47.66/47.82 Clause #2290 (by superposition #[2280, 2280]): ∀ (a a_1 : Iota), Eq (ti state a) (ti state a_1)
% 47.66/47.82 Clause #2297 (by superposition #[2290, 99]): ∀ (a : Iota), Eq (ti state a) (undefined state)
% 47.66/47.82 Clause #2304 (by backward demodulation #[2297, 2290]): ∀ (a : Iota), Eq (undefined state) (ti state a)
% 47.66/47.82 Clause #13968 (by clausification #[340]): ∀ (a : Iota),
% 47.66/47.82 Or (Eq (hBOOL hoare_1883395792gleton) False) (Eq (Exists fun T => Ne (ti state (skS.0 10 a)) (ti state T)) True)
% 47.66/47.82 Clause #13969 (by clausification #[13968]): ∀ (a a_1 : Iota),
% 47.66/47.82 Or (Eq (hBOOL hoare_1883395792gleton) False) (Eq (Ne (ti state (skS.0 10 a)) (ti state (skS.0 11 a a_1))) True)
% 47.66/47.82 Clause #13970 (by clausification #[13969]): ∀ (a a_1 : Iota), Or (Eq (hBOOL hoare_1883395792gleton) False) (Ne (ti state (skS.0 10 a)) (ti state (skS.0 11 a a_1)))
% 47.66/47.82 Clause #13971 (by forward demodulation #[13970, 60]): ∀ (a a_1 : Iota), Or (Eq True False) (Ne (ti state (skS.0 10 a)) (ti state (skS.0 11 a a_1)))
% 47.66/47.82 Clause #13972 (by clausification #[13971]): ∀ (a a_1 : Iota), Ne (ti state (skS.0 10 a)) (ti state (skS.0 11 a a_1))
% 47.66/47.82 Clause #13973 (by forward demodulation #[13972, 2304]): ∀ (a a_1 : Iota), Ne (undefined state) (ti state (skS.0 11 a a_1))
% 47.66/47.82 Clause #13974 (by forward demodulation #[13973, 2304]): Ne (undefined state) (undefined state)
% 47.66/47.82 Clause #13975 (by eliminate resolved literals #[13974]): False
% 47.66/47.82 SZS output end Proof for theBenchmark.p
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