TSTP Solution File: ITP019^1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : ITP019^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 03:38:08 EDT 2023
% Result : Theorem 64.10s 64.37s
% Output : Proof 64.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP019^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.12/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n024.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 16:34:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 64.10/64.37 SZS status Theorem for theBenchmark.p
% 64.10/64.37 SZS output start Proof for theBenchmark.p
% 64.10/64.37 Clause #39 (by assumption #[]): Eq
% 64.10/64.37 (∀ (V0z : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Iff (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 64.10/64.37 (Eq V0z (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))
% 64.10/64.37 True
% 64.10/64.37 Clause #40 (by assumption #[]): Eq
% 64.10/64.37 (Not
% 64.10/64.37 (∀ (V0z : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Not (Eq V0z (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) →
% 64.10/64.37 Not (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))))
% 64.10/64.37 True
% 64.10/64.37 Clause #952 (by clausification #[39]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Eq
% 64.10/64.37 (Iff (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 64.10/64.37 (Eq a (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))
% 64.10/64.37 True
% 64.10/64.37 Clause #954 (by clausification #[952]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Or (Eq (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) False)
% 64.10/64.37 (Eq (Eq a (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) True)
% 64.10/64.37 Clause #963 (by clausification #[40]): Eq
% 64.10/64.37 (∀ (V0z : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Not (Eq V0z (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) →
% 64.10/64.37 Not (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv V0z) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))
% 64.10/64.37 False
% 64.10/64.37 Clause #964 (by clausification #[963]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Eq
% 64.10/64.37 (Not
% 64.10/64.37 (Not (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) →
% 64.10/64.37 Not
% 64.10/64.37 (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a))
% 64.10/64.37 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))))
% 64.10/64.37 True
% 64.10/64.37 Clause #965 (by clausification #[964]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Eq
% 64.10/64.37 (Not (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) →
% 64.10/64.37 Not
% 64.10/64.37 (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))
% 64.10/64.37 False
% 64.10/64.37 Clause #966 (by clausification #[965]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Eq (Not (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))) True
% 64.10/64.37 Clause #967 (by clausification #[965]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Eq
% 64.10/64.37 (Not
% 64.10/64.37 (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)))
% 64.10/64.37 False
% 64.10/64.37 Clause #968 (by clausification #[966]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Eq (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) False
% 64.10/64.37 Clause #969 (by clausification #[968]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Ne (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)
% 64.10/64.37 Clause #6041 (by clausification #[967]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Eq (Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 64.10/64.37 True
% 64.10/64.37 Clause #6042 (by clausification #[6041]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Eq (mono_2Ec_2Ecomplex_2Ecomplex__inv (skS.0 3 a)) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)
% 64.10/64.37 Clause #6066 (by clausification #[954]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.10/64.37 Or (Eq (Eq a (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)) True)
% 64.10/64.37 (Ne (mono_2Ec_2Ecomplex_2Ecomplex__inv a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 64.23/64.47 Clause #6067 (by clausification #[6066]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.23/64.47 Or (Ne (mono_2Ec_2Ecomplex_2Ecomplex__inv a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 64.23/64.47 (Eq a (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 64.23/64.47 Clause #6068 (by superposition #[6067, 6042]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.23/64.47 Or
% 64.23/64.47 (Ne (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)
% 64.23/64.47 (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 64.23/64.47 (Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0))
% 64.23/64.47 Clause #6070 (by eliminate resolved literals #[6068]): ∀ (a : mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29),
% 64.23/64.47 Eq (skS.0 3 a) (mono_2Ec_2Ecomplex_2Ecomplex__of__num mono_2Ec_2Enum_2E0)
% 64.23/64.47 Clause #6071 (by forward contextual literal cutting #[6070, 969]): False
% 64.23/64.47 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------