%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP311_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:55:24 PM UTC 2026
% Result : Theorem 0.15s 5.78s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_bool_fun$': $tType ).
tff(decl_sort2,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_object_ptr$': $tType ).
tff(decl_sort3,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$': $tType ).
tff(decl_sort4,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_object_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_exception_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_prog_fun$': $tType ).
tff(decl_sort5,type,
'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_exception_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_prog$': $tType ).
tff(decl_56,type,
'fun_app$aj': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_bool_fun$' ) > $o ).
tff(decl_294,type,
'fun_app$x': ( 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_object_ptr$' * 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_object_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_exception_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_prog_fun$' ) > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_exception_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_prog$' ).
tff(decl_298,type,
'get_child_nodes$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_object_ptr_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_exception_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_prog_fun$' ).
tff(decl_303,type,
'pure$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_exception_a_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_list_prog$' > 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap_bool_fun$' ).
tff(decl_347,type,
'parent$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_object_ptr$' ).
tff(decl_393,type,
'h$': 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$' ).
tff(conjecture59,conjecture,
'fun_app$aj'('pure$'('fun_app$x'('get_child_nodes$','parent$')),'h$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture59) ).
tff(axiom69,axiom,
! [X161: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_object_ptr$',X162: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] : 'fun_app$aj'('pure$'('fun_app$x'('get_child_nodes$',X161)),X162),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom69) ).
tff(c_0_2,negated_conjecture,
~ 'fun_app$aj'('pure$'('fun_app$x'('get_child_nodes$','parent$')),'h$'),
inference(assume_negation,[status(cth)],[conjecture59]) ).
tff(c_0_3,negated_conjecture,
~ 'fun_app$aj'('pure$'('fun_app$x'('get_child_nodes$','parent$')),'h$'),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
tff(c_0_4,negated_conjecture,
~ 'fun_app$aj'('pure$'('fun_app$x'('get_child_nodes$','parent$')),'h$'),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
tff(c_0_5,plain,
! [X2639: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_object_ptr$',X2640: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] : 'fun_app$aj'('pure$'('fun_app$x'('get_child_nodes$',X2639)),X2640),
inference(variable_rename,[status(thm)],[axiom69]) ).
tcf(c_0_6,negated_conjecture,
~ 'fun_app$aj'('pure$'('fun_app$x'('get_child_nodes$','parent$')),'h$'),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
! [X5: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_object_ptr$',X162: 'A_element_ptr_b_character_data_ptr_c_sum_sum_node_ptr_d_document_ptr_e_shadow_root_ptr_f_sum_sum_sum_c_a_b_e_g_option_RElement_ext_h_option_RCharacterData_ext_i_sum_sum_RNode_ext_c_a_b_j_option_RDocument_ext_k_sum_sum_heap$'] : 'fun_app$aj'('pure$'('fun_app$x'('get_child_nodes$',X5)),X162),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP311_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.55 % Computer : n008.cluster.edu
% 0.11/5.55 % Model : x86_64 x86_64
% 0.11/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.55 % Memory : 8046.5625MB
% 0.11/5.55 % OS : Linux 6.8.0-71-generic
% 0.11/5.55 % CPULimit : 300
% 0.11/5.55 % WCLimit : 300
% 0.11/5.55 % DateTime : Sun Sep 20 22:34:31 UTC 2026
% 0.11/5.55 % CPUTime :
% 0.11/5.55 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.60 Running first-order theorem proving
% 0.15/5.60 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.78 % Version: 3.5.1
% 0.15/5.78 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/5.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.78 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.78 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.78 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.78 % Starting sh5l with 300s (1) cores
% 0.15/5.78 % new_bool_3 with pid 3740330 completed with status 0
% 0.15/5.78 % Result found by new_bool_3
% 0.15/5.78 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/5.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.78 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.78 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.78 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.78 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.78 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.15/5.78 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.78 % Starting SubtermCWHack with 28s (1) cores
% 0.15/5.78 % SubtermCWHack with pid 3740333 completed with status 0
% 0.15/5.78 % Result found by SubtermCWHack
% 0.15/5.78 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/5.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.78 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.78 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.78 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.78 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.78 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.15/5.78 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.78 % Starting SubtermCWHack with 28s (1) cores
% 0.15/5.78 % Preprocessing time : 0.009 s
% 0.15/5.78
% 0.15/5.78 % Proof found!
% 0.15/5.78 % SZS status Theorem
% 0.15/5.78 % SZS output start CNFRefutation
% See solution above
% 0.15/5.78 % Parsed axioms : 1227
% 0.15/5.78 % Removed by relevancy pruning/SinE : 1021
% 0.15/5.78 % Initial clauses : 418
% 0.15/5.78 % Removed in clause preprocessing : 54
% 0.15/5.78 % Initial clauses in saturation : 364
% 0.15/5.78 % Processed clauses : 24
% 0.15/5.78 % ...of these trivial : 0
% 0.15/5.78 % ...subsumed : 1
% 0.15/5.78 % ...remaining for further processing : 22
% 0.15/5.78 % Other redundant clauses eliminated : 1
% 0.15/5.78 % Clauses deleted for lack of memory : 0
% 0.15/5.78 % Backward-subsumed : 1
% 0.15/5.78 % Backward-rewritten : 0
% 0.15/5.78 % Generated clauses : 9
% 0.15/5.78 % ...of the previous two non-redundant : 6
% 0.15/5.78 % ...aggressively subsumed : 0
% 0.15/5.78 % Contextual simplify-reflections : 0
% 0.15/5.78 % Paramodulations : 6
% 0.15/5.78 % Factorizations : 2
% 0.15/5.78 % NegExts : 0
% 0.15/5.78 % Equation resolutions : 1
% 0.15/5.78 % Disequality decompositions : 0
% 0.15/5.78 % Total rewrite steps : 1
% 0.15/5.78 % ...of those cached : 0
% 0.15/5.78 % Propositional unsat checks : 0
% 0.15/5.78 % Propositional check models : 0
% 0.15/5.78 % Propositional check unsatisfiable : 0
% 0.15/5.78 % Propositional clauses : 0
% 0.15/5.78 % Propositional clauses after purity: 0
% 0.15/5.78 % Propositional unsat core size : 0
% 0.15/5.78 % Propositional preprocessing time : 0.000
% 0.15/5.78 % Propositional encoding time : 0.000
% 0.15/5.78 % Propositional solver time : 0.000
% 0.15/5.78 % Success case prop preproc time : 0.000
% 0.15/5.78 % Success case prop encoding time : 0.000
% 0.15/5.78 % Success case prop solver time : 0.000
% 0.15/5.78 % Current number of processed clauses : 20
% 0.15/5.78 % Positive orientable unit clauses : 13
% 0.15/5.78 % Positive unorientable unit clauses: 1
% 0.15/5.78 % Negative unit clauses : 5
% 0.15/5.78 % Non-unit-clauses : 1
% 0.15/5.78 % Current number of unprocessed clauses: 345
% 0.15/5.78 % ...number of literals in the above : 1125
% 0.15/5.78 % Current number of archived formulas : 0
% 0.15/5.78 % Current number of archived clauses : 1
% 0.15/5.78 % Clause-clause subsumption calls (NU) : 0
% 0.15/5.78 % Rec. Clause-clause subsumption calls : 0
% 0.15/5.78 % Non-unit clause-clause subsumptions : 0
% 0.15/5.78 % Unit Clause-clause subsumption calls : 5
% 0.15/5.78 % Rewrite failures with RHS unbound : 2
% 0.15/5.78 % BW rewrite match attempts : 24
% 0.15/5.78 % BW rewrite match successes : 2
% 0.15/5.78 % Condensation attempts : 0
% 0.15/5.78 % Condensation successes : 0
% 0.15/5.78 % Termbank termtop insertions : 46485
% 0.15/5.78 % Search garbage collected termcells : 17316
% 0.15/5.78
% 0.15/5.78 % -------------------------------------------------
% 0.15/5.78 % User time : 0.042 s
% 0.15/5.78 % System time : 0.012 s
% 0.15/5.78 % Total time : 0.054 s
% 0.15/5.78 % Maximum resident set size: 8368 pages
% 0.15/5.78
% 0.15/5.78 % -------------------------------------------------
% 0.15/5.78 % User time : 0.146 s
% 0.15/5.78 % System time : 0.023 s
% 0.15/5.78 % Total time : 0.169 s
% 0.15/5.78 % Maximum resident set size: 7424 pages
% 0.15/5.78 % E exiting
%------------------------------------------------------------------------------