TSTP Solution File: ITP077^2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : ITP077^2 : TPTP v8.1.2. Released v7.5.0.
% 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 : Thu Aug 31 03:38:38 EDT 2023
% Result : Theorem 33.13s 33.32s
% Output : Proof 33.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : ITP077^2 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.15 % Command : duper %s
% 0.15/0.35 % Computer : n011.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 16:03:10 EDT 2023
% 0.15/0.35 % CPUTime :
% 33.13/33.32 SZS status Theorem for theBenchmark.p
% 33.13/33.32 SZS output start Proof for theBenchmark.p
% 33.13/33.32 Clause #0 (by assumption #[]): Eq (Eq (mset a qs2) (mset a qs)) True
% 33.13/33.32 Clause #2 (by assumption #[]): Eq (Eq a3 (groups501227526m_list a qs)) True
% 33.13/33.32 Clause #13 (by assumption #[]): Eq
% 33.13/33.32 (∀ (A : Type),
% 33.13/33.32 comm_monoid_add A → ∀ (Xs : list A), Eq (comm_m1079429914m_mset A (mset A Xs)) (groups501227526m_list A Xs))
% 33.13/33.32 True
% 33.13/33.32 Clause #270 (by assumption #[]): Eq (comm_monoid_add a) True
% 33.13/33.32 Clause #271 (by assumption #[]): Eq (Not (Eq a3 (groups501227526m_list a qs2))) True
% 33.13/33.32 Clause #272 (by clausification #[0]): Eq (mset a qs2) (mset a qs)
% 33.13/33.32 Clause #273 (by clausification #[2]): Eq a3 (groups501227526m_list a qs)
% 33.13/33.32 Clause #518 (by clausification #[13]): ∀ (a : Type),
% 33.13/33.32 Eq (comm_monoid_add a → ∀ (Xs : list a), Eq (comm_m1079429914m_mset a (mset a Xs)) (groups501227526m_list a Xs)) True
% 33.13/33.32 Clause #519 (by clausification #[518]): ∀ (a : Type),
% 33.13/33.32 Or (Eq (comm_monoid_add a) False)
% 33.13/33.32 (Eq (∀ (Xs : list a), Eq (comm_m1079429914m_mset a (mset a Xs)) (groups501227526m_list a Xs)) True)
% 33.13/33.32 Clause #520 (by clausification #[519]): ∀ (a : Type) (a_1 : list a),
% 33.13/33.32 Or (Eq (comm_monoid_add a) False) (Eq (Eq (comm_m1079429914m_mset a (mset a a_1)) (groups501227526m_list a a_1)) True)
% 33.13/33.32 Clause #521 (by clausification #[520]): ∀ (a : Type) (a_1 : list a),
% 33.13/33.32 Or (Eq (comm_monoid_add a) False) (Eq (comm_m1079429914m_mset a (mset a a_1)) (groups501227526m_list a a_1))
% 33.13/33.32 Clause #522 (by superposition #[521, 270]): ∀ (a_1 : list a), Or (Eq (comm_m1079429914m_mset a (mset a a_1)) (groups501227526m_list a a_1)) (Eq False True)
% 33.13/33.32 Clause #1424 (by clausification #[271]): Eq (Eq a3 (groups501227526m_list a qs2)) False
% 33.13/33.32 Clause #1425 (by clausification #[1424]): Ne a3 (groups501227526m_list a qs2)
% 33.13/33.32 Clause #15138 (by clausification #[522]): ∀ (a_1 : list a), Eq (comm_m1079429914m_mset a (mset a a_1)) (groups501227526m_list a a_1)
% 33.13/33.32 Clause #15139 (by superposition #[15138, 272]): Eq (comm_m1079429914m_mset a (mset a qs)) (groups501227526m_list a qs2)
% 33.13/33.32 Clause #15180 (by superposition #[15139, 15138]): Eq (groups501227526m_list a qs2) (groups501227526m_list a qs)
% 33.13/33.32 Clause #15366 (by forward demodulation #[15180, 273]): Eq (groups501227526m_list a qs2) a3
% 33.13/33.32 Clause #15367 (by forward contextual literal cutting #[15366, 1425]): False
% 33.13/33.32 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------