TSTP Solution File: SWW485_5 by Duper---1.0
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% File : Duper---1.0
% Problem : SWW485_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 00:26:33 EDT 2023
% Result : Theorem 10.02s 10.20s
% Output : Proof 10.02s
% 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 : SWW485_5 : TPTP v8.1.2. Released v6.0.0.
% 0.11/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n011.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 19:58:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 10.02/10.20 SZS status Theorem for theBenchmark.p
% 10.02/10.20 SZS output start Proof for theBenchmark.p
% 10.02/10.20 Clause #0 (by assumption #[]): Eq
% 10.02/10.20 (Exists fun M3 =>
% 10.02/10.20 And (ord_less real (zero_zero real) M3)
% 10.02/10.20 (∀ (Z2 : complex),
% 10.02/10.20 ord_less_eq real (norm_norm complex Z2) r →
% 10.02/10.20 ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) Z2)) M3))
% 10.02/10.20 True
% 10.02/10.20 Clause #130 (by assumption #[]): Eq
% 10.02/10.20 (∀ (M : real),
% 10.02/10.20 (∀ (Z : complex),
% 10.02/10.20 ord_less_eq real (norm_norm complex Z) r →
% 10.02/10.20 ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) Z)) M) →
% 10.02/10.20 thesis)
% 10.02/10.20 True
% 10.02/10.20 Clause #131 (by assumption #[]): Eq (Not thesis) True
% 10.02/10.20 Clause #132 (by clausification #[131]): Eq thesis False
% 10.02/10.20 Clause #133 (by clausification #[0]): ∀ (a : real),
% 10.02/10.20 Eq
% 10.02/10.20 (And (ord_less real (zero_zero real) (skS.0 0 a))
% 10.02/10.20 (∀ (Z2 : complex),
% 10.02/10.20 ord_less_eq real (norm_norm complex Z2) r →
% 10.02/10.20 ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) Z2)) (skS.0 0 a)))
% 10.02/10.20 True
% 10.02/10.20 Clause #134 (by clausification #[133]): ∀ (a : real),
% 10.02/10.20 Eq
% 10.02/10.20 (∀ (Z2 : complex),
% 10.02/10.20 ord_less_eq real (norm_norm complex Z2) r →
% 10.02/10.20 ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) Z2)) (skS.0 0 a))
% 10.02/10.20 True
% 10.02/10.20 Clause #136 (by clausification #[134]): ∀ (a : complex) (a_1 : real),
% 10.02/10.20 Eq
% 10.02/10.20 (ord_less_eq real (norm_norm complex a) r →
% 10.02/10.20 ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) a)) (skS.0 0 a_1))
% 10.02/10.20 True
% 10.02/10.20 Clause #137 (by clausification #[136]): ∀ (a : complex) (a_1 : real),
% 10.02/10.20 Or (Eq (ord_less_eq real (norm_norm complex a) r) False)
% 10.02/10.20 (Eq (ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) a)) (skS.0 0 a_1)) True)
% 10.02/10.20 Clause #169 (by clausification #[130]): ∀ (a : real),
% 10.02/10.20 Eq
% 10.02/10.20 ((∀ (Z : complex),
% 10.02/10.20 ord_less_eq real (norm_norm complex Z) r →
% 10.02/10.20 ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) Z)) a) →
% 10.02/10.20 thesis)
% 10.02/10.20 True
% 10.02/10.20 Clause #170 (by clausification #[169]): ∀ (a : real),
% 10.02/10.20 Or
% 10.02/10.20 (Eq
% 10.02/10.20 (∀ (Z : complex),
% 10.02/10.20 ord_less_eq real (norm_norm complex Z) r →
% 10.02/10.20 ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) Z)) a)
% 10.02/10.20 False)
% 10.02/10.20 (Eq thesis True)
% 10.02/10.20 Clause #171 (by clausification #[170]): ∀ (a : real) (a_1 : complex),
% 10.02/10.20 Or (Eq thesis True)
% 10.02/10.20 (Eq
% 10.02/10.20 (Not
% 10.02/10.20 (ord_less_eq real (norm_norm complex (skS.0 1 a a_1)) r →
% 10.02/10.20 ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) (skS.0 1 a a_1))) a))
% 10.02/10.20 True)
% 10.02/10.20 Clause #172 (by clausification #[171]): ∀ (a : real) (a_1 : complex),
% 10.02/10.20 Or (Eq thesis True)
% 10.02/10.20 (Eq
% 10.02/10.20 (ord_less_eq real (norm_norm complex (skS.0 1 a a_1)) r →
% 10.02/10.20 ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) (skS.0 1 a a_1))) a)
% 10.02/10.20 False)
% 10.02/10.20 Clause #173 (by clausification #[172]): ∀ (a : real) (a_1 : complex), Or (Eq thesis True) (Eq (ord_less_eq real (norm_norm complex (skS.0 1 a a_1)) r) True)
% 10.02/10.20 Clause #174 (by clausification #[172]): ∀ (a : real) (a_1 : complex),
% 10.02/10.20 Or (Eq thesis True)
% 10.02/10.20 (Eq (ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) (skS.0 1 a a_1))) a) False)
% 10.02/10.20 Clause #175 (by forward demodulation #[173, 132]): ∀ (a : real) (a_1 : complex), Or (Eq False True) (Eq (ord_less_eq real (norm_norm complex (skS.0 1 a a_1)) r) True)
% 10.02/10.20 Clause #176 (by clausification #[175]): ∀ (a : real) (a_1 : complex), Eq (ord_less_eq real (norm_norm complex (skS.0 1 a a_1)) r) True
% 10.02/10.20 Clause #177 (by superposition #[176, 137]): ∀ (a : real) (a_1 : complex) (a_2 : real),
% 10.02/10.20 Or (Eq True False)
% 10.02/10.20 (Eq (ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) (skS.0 1 a a_1))) (skS.0 0 a_2))
% 10.02/10.20 True)
% 10.02/10.20 Clause #2027 (by forward demodulation #[174, 132]): ∀ (a : real) (a_1 : complex),
% 10.02/10.20 Or (Eq False True)
% 10.02/10.20 (Eq (ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) (skS.0 1 a a_1))) a) False)
% 10.02/10.20 Clause #2028 (by clausification #[2027]): ∀ (a : real) (a_1 : complex),
% 10.02/10.20 Eq (ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) (skS.0 1 a a_1))) a) False
% 10.02/10.21 Clause #2060 (by clausification #[177]): ∀ (a : real) (a_1 : complex) (a_2 : real),
% 10.02/10.21 Eq (ord_less_eq real (norm_norm complex (aa complex complex (poly complex cs) (skS.0 1 a a_1))) (skS.0 0 a_2)) True
% 10.02/10.21 Clause #2061 (by superposition #[2060, 2028]): Eq True False
% 10.02/10.21 Clause #2063 (by clausification #[2061]): False
% 10.02/10.21 SZS output end Proof for theBenchmark.p
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