%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : ITP399_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n004.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 03:41:10 EDT 2023

% Result   : Theorem 8.11s 8.27s
% Output   : Proof 8.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ITP399_1 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.13  % Command    : duper %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 11:53:53 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 8.11/8.27  SZS status Theorem for theBenchmark.p
% 8.11/8.27  SZS output start Proof for theBenchmark.p
% 8.11/8.27  Clause #0 (by assumption #[]): Eq (Not («complements$» «g$» («register_pair$» «f$» («complement$» («register_pair$a» «f$» «g$»))))) True
% 8.11/8.27  Clause #3 (by assumption #[]): Eq («compatible$» «f$» «g$») True
% 8.11/8.27  Clause #18 (by assumption #[]): Eq
% 8.11/8.27    (∀ (A__questionmark_v0 : «A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»)
% 8.11/8.27      (A__questionmark_v1 : «C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»),
% 8.11/8.27      «compatible$» A__questionmark_v0 A__questionmark_v1 →
% 8.11/8.27        «complements$» A__questionmark_v1
% 8.11/8.27          («register_pair$» A__questionmark_v0 («complement$» («register_pair$a» A__questionmark_v0 A__questionmark_v1))))
% 8.11/8.27    True
% 8.11/8.27  Clause #646 (by clausification #[0]): Eq («complements$» «g$» («register_pair$» «f$» («complement$» («register_pair$a» «f$» «g$»)))) False
% 8.11/8.27  Clause #1053 (by clausification #[18]): ∀ (a : «A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»),
% 8.11/8.27    Eq
% 8.11/8.27      (∀ (A__questionmark_v1 : «C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»),
% 8.11/8.27        «compatible$» a A__questionmark_v1 →
% 8.11/8.27          «complements$» A__questionmark_v1 («register_pair$» a («complement$» («register_pair$a» a A__questionmark_v1))))
% 8.11/8.27      True
% 8.11/8.27  Clause #1054 (by clausification #[1053]): ∀ (a : «A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»)
% 8.11/8.27    (a_1 : «C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»),
% 8.11/8.27    Eq («compatible$» a a_1 → «complements$» a_1 («register_pair$» a («complement$» («register_pair$a» a a_1)))) True
% 8.11/8.27  Clause #1055 (by clausification #[1054]): ∀ (a : «A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»)
% 8.11/8.27    (a_1 : «C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$»),
% 8.11/8.27    Or (Eq («compatible$» a a_1) False)
% 8.11/8.27      (Eq («complements$» a_1 («register_pair$» a («complement$» («register_pair$a» a a_1)))) True)
% 8.11/8.27  Clause #1056 (by superposition #[1055, 3]): Or (Eq («complements$» «g$» («register_pair$» «f$» («complement$» («register_pair$a» «f$» «g$»)))) True) (Eq False True)
% 8.11/8.27  Clause #2698 (by clausification #[1056]): Eq («complements$» «g$» («register_pair$» «f$» («complement$» («register_pair$a» «f$» «g$»)))) True
% 8.11/8.27  Clause #2699 (by superposition #[2698, 646]): Eq True False
% 8.11/8.27  Clause #2703 (by clausification #[2699]): False
% 8.11/8.27  SZS output end Proof for theBenchmark.p
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