TSTP Solution File: SWW490_5 by Duper---1.0
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% File : Duper---1.0
% Problem : SWW490_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 11.55s 11.74s
% Output : Proof 11.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWW490_5 : TPTP v8.1.2. Released v6.0.0.
% 0.08/0.10 % Command : duper %s
% 0.09/0.30 % Computer : n007.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun Aug 27 19:37:27 EDT 2023
% 0.09/0.30 % CPUTime :
% 11.55/11.74 SZS status Theorem for theBenchmark.p
% 11.55/11.74 SZS output start Proof for theBenchmark.p
% 11.55/11.74 Clause #0 (by assumption #[]): Eq
% 11.55/11.74 (∀ (A : Type),
% 11.55/11.74 comm_semiring_0 A → ∀ (H : A), Eq (fundam296178794t_poly A (zero_zero (poly A)) H) (zero_zero (poly A)))
% 11.55/11.74 True
% 11.55/11.74 Clause #9 (by assumption #[]): Eq (∀ (A : Type), zero A → Eq (degree A (zero_zero (poly A))) (zero_zero nat)) True
% 11.55/11.74 Clause #97 (by assumption #[]): Eq (∀ (A : Type), comm_semiring_0 A → zero A) True
% 11.55/11.74 Clause #129 (by assumption #[]): Eq (Not (Eq (degree a (fundam296178794t_poly a (zero_zero (poly a)) h)) (degree a (zero_zero (poly a))))) True
% 11.55/11.74 Clause #130 (by assumption #[]): Eq (comm_semiring_0 a) True
% 11.55/11.74 Clause #131 (by clausification #[0]): ∀ (a : Type),
% 11.55/11.74 Eq (comm_semiring_0 a → ∀ (H : a), Eq (fundam296178794t_poly a (zero_zero (poly a)) H) (zero_zero (poly a))) True
% 11.55/11.74 Clause #132 (by clausification #[131]): ∀ (a : Type),
% 11.55/11.74 Or (Eq (comm_semiring_0 a) False)
% 11.55/11.74 (Eq (∀ (H : a), Eq (fundam296178794t_poly a (zero_zero (poly a)) H) (zero_zero (poly a))) True)
% 11.55/11.74 Clause #133 (by clausification #[132]): ∀ (a : Type) (a_1 : a),
% 11.55/11.74 Or (Eq (comm_semiring_0 a) False)
% 11.55/11.74 (Eq (Eq (fundam296178794t_poly a (zero_zero (poly a)) a_1) (zero_zero (poly a))) True)
% 11.55/11.74 Clause #134 (by clausification #[133]): ∀ (a : Type) (a_1 : a),
% 11.55/11.74 Or (Eq (comm_semiring_0 a) False) (Eq (fundam296178794t_poly a (zero_zero (poly a)) a_1) (zero_zero (poly a)))
% 11.55/11.74 Clause #135 (by superposition #[134, 130]): ∀ (a_1 : a), Or (Eq (fundam296178794t_poly a (zero_zero (poly a)) a_1) (zero_zero (poly a))) (Eq False True)
% 11.55/11.74 Clause #146 (by clausification #[97]): ∀ (a : Type), Eq (comm_semiring_0 a → zero a) True
% 11.55/11.74 Clause #147 (by clausification #[146]): ∀ (a : Type), Or (Eq (comm_semiring_0 a) False) (Eq (zero a) True)
% 11.55/11.74 Clause #148 (by superposition #[147, 130]): Or (Eq (zero a) True) (Eq False True)
% 11.55/11.74 Clause #157 (by clausification #[148]): Eq (zero a) True
% 11.55/11.74 Clause #291 (by clausification #[9]): ∀ (a : Type), Eq (zero a → Eq (degree a (zero_zero (poly a))) (zero_zero nat)) True
% 11.55/11.74 Clause #292 (by clausification #[291]): ∀ (a : Type), Or (Eq (zero a) False) (Eq (Eq (degree a (zero_zero (poly a))) (zero_zero nat)) True)
% 11.55/11.74 Clause #293 (by clausification #[292]): ∀ (a : Type), Or (Eq (zero a) False) (Eq (degree a (zero_zero (poly a))) (zero_zero nat))
% 11.55/11.74 Clause #295 (by superposition #[293, 157]): Or (Eq (degree a (zero_zero (poly a))) (zero_zero nat)) (Eq False True)
% 11.55/11.74 Clause #574 (by clausification #[295]): Eq (degree a (zero_zero (poly a))) (zero_zero nat)
% 11.55/11.74 Clause #3394 (by clausification #[129]): Eq (Eq (degree a (fundam296178794t_poly a (zero_zero (poly a)) h)) (degree a (zero_zero (poly a)))) False
% 11.55/11.74 Clause #3395 (by clausification #[3394]): Ne (degree a (fundam296178794t_poly a (zero_zero (poly a)) h)) (degree a (zero_zero (poly a)))
% 11.55/11.74 Clause #3396 (by forward demodulation #[3395, 574]): Ne (degree a (fundam296178794t_poly a (zero_zero (poly a)) h)) (zero_zero nat)
% 11.55/11.74 Clause #3527 (by clausification #[135]): ∀ (a_1 : a), Eq (fundam296178794t_poly a (zero_zero (poly a)) a_1) (zero_zero (poly a))
% 11.55/11.74 Clause #3528 (by backward demodulation #[3527, 3396]): Ne (degree a (zero_zero (poly a))) (zero_zero nat)
% 11.55/11.74 Clause #3531 (by forward demodulation #[3528, 574]): Ne (zero_zero nat) (zero_zero nat)
% 11.55/11.74 Clause #3532 (by eliminate resolved literals #[3531]): False
% 11.55/11.74 SZS output end Proof for theBenchmark.p
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