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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : ITP383_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n026.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 Oct  3 07:52:12 PM UTC 2025

% Result   : Theorem 4.24s 4.45s
% Output   : Proof 4.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ITP383_1 : TPTP v9.2.0. Released v8.0.0.
% 0.11/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Oct  2 23:50:53 EDT 2025
% 0.13/0.34  % CPUTime    : 
% 4.24/4.45  SZS status Theorem for theBenchmark.p
% 4.24/4.45  SZS output start Proof for theBenchmark.p
% 4.24/4.45  Clause #59 (by assumption #[]): Eq (Not («fun_app$k» «register$» «g$»)) True
% 4.24/4.45  Clause #60 (by assumption #[]): Eq («fun_app$j» («compatible$» «g$») «h$») True
% 4.24/4.45  Clause #66 (by assumption #[]): Eq
% 4.24/4.45    (∀ (A__questionmark_v0 : «C_update_a_update_fun$») (A__questionmark_v1 : «D_update_a_update_fun$»),
% 4.24/4.45      «fun_app$j» («compatible$» A__questionmark_v0) A__questionmark_v1 → «fun_app$k» «register$» A__questionmark_v0)
% 4.24/4.45    True
% 4.24/4.45  Clause #693 (by clausification #[59]): Eq («fun_app$k» «register$» «g$») False
% 4.24/4.45  Clause #837 (by clausification #[66]): ∀ (a : «C_update_a_update_fun$»),
% 4.24/4.45    Eq
% 4.24/4.45      (∀ (A__questionmark_v1 : «D_update_a_update_fun$»),
% 4.24/4.45        «fun_app$j» («compatible$» a) A__questionmark_v1 → «fun_app$k» «register$» a)
% 4.24/4.45      True
% 4.24/4.45  Clause #838 (by clausification #[837]): ∀ (a : «C_update_a_update_fun$») (a_1 : «D_update_a_update_fun$»),
% 4.24/4.45    Eq («fun_app$j» («compatible$» a) a_1 → «fun_app$k» «register$» a) True
% 4.24/4.45  Clause #839 (by clausification #[838]): ∀ (a : «C_update_a_update_fun$») (a_1 : «D_update_a_update_fun$»),
% 4.24/4.45    Or (Eq («fun_app$j» («compatible$» a) a_1) False) (Eq («fun_app$k» «register$» a) True)
% 4.24/4.45  Clause #840 (by superposition #[839, 60]): Or (Eq («fun_app$k» «register$» «g$») True) (Eq False True)
% 4.24/4.45  Clause #841 (by clausification #[840]): Eq («fun_app$k» «register$» «g$») True
% 4.24/4.45  Clause #842 (by superposition #[841, 693]): Eq True False
% 4.24/4.45  Clause #849 (by clausification #[842]): False
% 4.24/4.45  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------