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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : ITP310_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n023.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 07:52:07 PM UTC 2025

% Result   : Theorem 13.06s 13.30s
% Output   : Proof 13.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ITP310_1 : TPTP v9.2.0. Released v8.0.0.
% 0.11/0.13  % Command    : duper %s
% 0.13/0.35  % Computer : n023.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   : Thu Oct  2 23:32:08 EDT 2025
% 0.13/0.35  % CPUTime    : 
% 13.06/13.30  SZS status Theorem for theBenchmark.p
% 13.06/13.30  SZS output start Proof for theBenchmark.p
% 13.06/13.30  Clause #1 (by assumption #[]): Eq (Not («fun_app$a» («member$» «parent_ptr$») («fun_app$b» «fset$» («fun_app$c» «object_ptr_kinds$» «h$»)))) True
% 13.06/13.30  Clause #2 (by assumption #[]): Eq («fun_app$d» («fmember$» «parent_ptr$») («fun_app$c» «object_ptr_kinds$» «h$»)) True
% 13.06/13.30  Clause #4 (by assumption #[]): Eq
% 13.06/13.30    (∀
% 13.06/13.30      (A__questionmark_v0 :
% 13.06/13.30        «Element_ptr_element_ptr_character_data_ptr_character_data_ptr_node_ptr_sum_sum_node_ptr_document_ptr_document_ptr_shadow_root_ptr_shadow_root_ptr_object_ptr_sum_sum_sum_object_ptr$»)
% 13.06/13.30      (A__questionmark_v1 :
% 13.06/13.30        «Element_ptr_element_ptr_character_data_ptr_character_data_ptr_node_ptr_sum_sum_node_ptr_document_ptr_document_ptr_shadow_root_ptr_shadow_root_ptr_object_ptr_sum_sum_sum_object_ptr_fset$»),
% 13.06/13.30      Iff («fun_app$a» («member$» A__questionmark_v0) («fun_app$b» «fset$» A__questionmark_v1))
% 13.06/13.30        («fun_app$d» («fmember$» A__questionmark_v0) A__questionmark_v1))
% 13.06/13.30    True
% 13.06/13.30  Clause #565 (by clausification #[1]): Eq («fun_app$a» («member$» «parent_ptr$») («fun_app$b» «fset$» («fun_app$c» «object_ptr_kinds$» «h$»))) False
% 13.06/13.30  Clause #619 (by clausification #[4]): ∀
% 13.06/13.30    (a :
% 13.06/13.30      «Element_ptr_element_ptr_character_data_ptr_character_data_ptr_node_ptr_sum_sum_node_ptr_document_ptr_document_ptr_shadow_root_ptr_shadow_root_ptr_object_ptr_sum_sum_sum_object_ptr$»),
% 13.06/13.30    Eq
% 13.06/13.30      (∀
% 13.06/13.30        (A__questionmark_v1 :
% 13.06/13.30          «Element_ptr_element_ptr_character_data_ptr_character_data_ptr_node_ptr_sum_sum_node_ptr_document_ptr_document_ptr_shadow_root_ptr_shadow_root_ptr_object_ptr_sum_sum_sum_object_ptr_fset$»),
% 13.06/13.30        Iff («fun_app$a» («member$» a) («fun_app$b» «fset$» A__questionmark_v1))
% 13.06/13.30          («fun_app$d» («fmember$» a) A__questionmark_v1))
% 13.06/13.30      True
% 13.06/13.30  Clause #620 (by clausification #[619]): ∀
% 13.06/13.30    (a :
% 13.06/13.30      «Element_ptr_element_ptr_character_data_ptr_character_data_ptr_node_ptr_sum_sum_node_ptr_document_ptr_document_ptr_shadow_root_ptr_shadow_root_ptr_object_ptr_sum_sum_sum_object_ptr$»)
% 13.06/13.30    (a_1 :
% 13.06/13.30      «Element_ptr_element_ptr_character_data_ptr_character_data_ptr_node_ptr_sum_sum_node_ptr_document_ptr_document_ptr_shadow_root_ptr_shadow_root_ptr_object_ptr_sum_sum_sum_object_ptr_fset$»),
% 13.06/13.30    Eq (Iff («fun_app$a» («member$» a) («fun_app$b» «fset$» a_1)) («fun_app$d» («fmember$» a) a_1)) True
% 13.06/13.30  Clause #621 (by clausification #[620]): ∀
% 13.06/13.30    (a :
% 13.06/13.30      «Element_ptr_element_ptr_character_data_ptr_character_data_ptr_node_ptr_sum_sum_node_ptr_document_ptr_document_ptr_shadow_root_ptr_shadow_root_ptr_object_ptr_sum_sum_sum_object_ptr$»)
% 13.06/13.30    (a_1 :
% 13.06/13.30      «Element_ptr_element_ptr_character_data_ptr_character_data_ptr_node_ptr_sum_sum_node_ptr_document_ptr_document_ptr_shadow_root_ptr_shadow_root_ptr_object_ptr_sum_sum_sum_object_ptr_fset$»),
% 13.06/13.30    Or (Eq («fun_app$a» («member$» a) («fun_app$b» «fset$» a_1)) True) (Eq («fun_app$d» («fmember$» a) a_1) False)
% 13.06/13.30  Clause #623 (by superposition #[621, 2]): Or (Eq («fun_app$a» («member$» «parent_ptr$») («fun_app$b» «fset$» («fun_app$c» «object_ptr_kinds$» «h$»))) True)
% 13.06/13.30    (Eq False True)
% 13.06/13.30  Clause #3133 (by clausification #[623]): Eq («fun_app$a» («member$» «parent_ptr$») («fun_app$b» «fset$» («fun_app$c» «object_ptr_kinds$» «h$»))) True
% 13.06/13.30  Clause #3134 (by superposition #[3133, 565]): Eq True False
% 13.06/13.30  Clause #3146 (by clausification #[3134]): False
% 13.06/13.30  SZS output end Proof for theBenchmark.p
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