TSTP Solution File: SWW488_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWW488_5 : TPTP v8.1.2. Released v6.0.0.
% 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 00:26:34 EDT 2023
% Result : Theorem 9.34s 9.49s
% Output : Proof 9.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW488_5 : TPTP v8.1.2. Released v6.0.0.
% 0.12/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n005.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 : Sun Aug 27 19:48:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 9.34/9.49 SZS status Theorem for theBenchmark.p
% 9.34/9.49 SZS output start Proof for theBenchmark.p
% 9.34/9.49 Clause #0 (by assumption #[]): Eq
% 9.34/9.49 (∀ (A : Type),
% 9.34/9.49 comm_semiring_0 A → ∀ (H : A), Eq (fundam296178794t_poly A (zero_zero (poly1 A)) H) (zero_zero (poly1 A)))
% 9.34/9.49 True
% 9.34/9.49 Clause #1 (by assumption #[]): Eq (∀ (A : Type), comm_semiring_0 A → ∀ (X : A), Eq (aa A A (poly A (zero_zero (poly1 A))) X) (zero_zero A)) True
% 9.34/9.49 Clause #140 (by assumption #[]): Eq
% 9.34/9.49 (Not
% 9.34/9.49 (Eq (aa a a (poly a (fundam296178794t_poly a (zero_zero (poly1 a)) h)) x)
% 9.34/9.49 (aa a a (poly a (zero_zero (poly1 a))) (plus_plus a h x))))
% 9.34/9.49 True
% 9.34/9.49 Clause #141 (by assumption #[]): Eq (comm_semiring_0 a) True
% 9.34/9.49 Clause #142 (by clausification #[0]): ∀ (a : Type),
% 9.34/9.49 Eq (comm_semiring_0 a → ∀ (H : a), Eq (fundam296178794t_poly a (zero_zero (poly1 a)) H) (zero_zero (poly1 a))) True
% 9.34/9.49 Clause #143 (by clausification #[142]): ∀ (a : Type),
% 9.34/9.49 Or (Eq (comm_semiring_0 a) False)
% 9.34/9.49 (Eq (∀ (H : a), Eq (fundam296178794t_poly a (zero_zero (poly1 a)) H) (zero_zero (poly1 a))) True)
% 9.34/9.49 Clause #144 (by clausification #[143]): ∀ (a : Type) (a_1 : a),
% 9.34/9.49 Or (Eq (comm_semiring_0 a) False)
% 9.34/9.49 (Eq (Eq (fundam296178794t_poly a (zero_zero (poly1 a)) a_1) (zero_zero (poly1 a))) True)
% 9.34/9.49 Clause #145 (by clausification #[144]): ∀ (a : Type) (a_1 : a),
% 9.34/9.49 Or (Eq (comm_semiring_0 a) False) (Eq (fundam296178794t_poly a (zero_zero (poly1 a)) a_1) (zero_zero (poly1 a)))
% 9.34/9.49 Clause #146 (by superposition #[145, 141]): ∀ (a_1 : a), Or (Eq (fundam296178794t_poly a (zero_zero (poly1 a)) a_1) (zero_zero (poly1 a))) (Eq False True)
% 9.34/9.49 Clause #148 (by clausification #[1]): ∀ (a : Type), Eq (comm_semiring_0 a → ∀ (X : a), Eq (aa a a (poly a (zero_zero (poly1 a))) X) (zero_zero a)) True
% 9.34/9.49 Clause #149 (by clausification #[148]): ∀ (a : Type),
% 9.34/9.49 Or (Eq (comm_semiring_0 a) False) (Eq (∀ (X : a), Eq (aa a a (poly a (zero_zero (poly1 a))) X) (zero_zero a)) True)
% 9.34/9.49 Clause #150 (by clausification #[149]): ∀ (a : Type) (a_1 : a),
% 9.34/9.49 Or (Eq (comm_semiring_0 a) False) (Eq (Eq (aa a a (poly a (zero_zero (poly1 a))) a_1) (zero_zero a)) True)
% 9.34/9.49 Clause #151 (by clausification #[150]): ∀ (a : Type) (a_1 : a), Or (Eq (comm_semiring_0 a) False) (Eq (aa a a (poly a (zero_zero (poly1 a))) a_1) (zero_zero a))
% 9.34/9.49 Clause #152 (by superposition #[151, 141]): ∀ (a_1 : a), Or (Eq (aa a a (poly a (zero_zero (poly1 a))) a_1) (zero_zero a)) (Eq False True)
% 9.34/9.49 Clause #1046 (by clausification #[146]): ∀ (a_1 : a), Eq (fundam296178794t_poly a (zero_zero (poly1 a)) a_1) (zero_zero (poly1 a))
% 9.34/9.49 Clause #1589 (by clausification #[152]): ∀ (a_1 : a), Eq (aa a a (poly a (zero_zero (poly1 a))) a_1) (zero_zero a)
% 9.34/9.49 Clause #2029 (by clausification #[140]): Eq
% 9.34/9.49 (Eq (aa a a (poly a (fundam296178794t_poly a (zero_zero (poly1 a)) h)) x)
% 9.34/9.49 (aa a a (poly a (zero_zero (poly1 a))) (plus_plus a h x)))
% 9.34/9.49 False
% 9.34/9.49 Clause #2030 (by clausification #[2029]): Ne (aa a a (poly a (fundam296178794t_poly a (zero_zero (poly1 a)) h)) x)
% 9.34/9.49 (aa a a (poly a (zero_zero (poly1 a))) (plus_plus a h x))
% 9.34/9.49 Clause #2031 (by forward demodulation #[2030, 1046]): Ne (aa a a (poly a (zero_zero (poly1 a))) x) (aa a a (poly a (zero_zero (poly1 a))) (plus_plus a h x))
% 9.34/9.49 Clause #2032 (by forward demodulation #[2031, 1589]): Ne (zero_zero a) (aa a a (poly a (zero_zero (poly1 a))) (plus_plus a h x))
% 9.34/9.49 Clause #2033 (by forward demodulation #[2032, 1589]): Ne (zero_zero a) (zero_zero a)
% 9.34/9.49 Clause #2034 (by eliminate resolved literals #[2033]): False
% 9.34/9.49 SZS output end Proof for theBenchmark.p
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