%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP176^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 : Wed Sep 30 08:04:36 AM UTC 2026
% Result : Theorem 0.49s 0.45s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP176^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.17 % Computer : n001.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Sep 29 20:12:36 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running higher-order theorem proving
% 0.12/0.28 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.sKoV3dFeMv/E---3.1_1755167.p
% 0.49/0.45 % Version: 3.5.1-ho
% 0.49/0.45 % Preprocessing class: HSLMSMSMSSLCSSA.
% 0.49/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.45 % Starting new_ho_11 with 1200s (4) cores
% 0.49/0.45 % Starting new_bool_2 with 600s (2) cores
% 0.49/0.45 % Starting new_bool_4 with 300s (1) cores
% 0.49/0.45 % Starting post_as_ho5 with 300s (1) cores
% 0.49/0.45 % new_ho_11 with pid 1755180 completed with status 0
% 0.49/0.45 % Result found by new_ho_11
% 0.49/0.45 % Preprocessing class: HSLMSMSMSSLCSSA.
% 0.49/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.45 % Starting new_ho_11 with 1200s (4) cores
% 0.49/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.49/0.45 % No SInE strategy applied
% 0.49/0.45 % Search class: HGHSM-FSLM31-MSSFFSBC
% 0.49/0.45 % partial match(1): HGHSM-FSLM31-MSSFFSBN
% 0.49/0.45 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.49/0.45 % Starting SubtermCWHack with 109s (1) cores
% 0.49/0.45 % Starting new_ho_11 with 121s (1) cores
% 0.49/0.45 % Starting full_lambda_2 with 109s (1) cores
% 0.49/0.45 % Starting post_as_ho6 with 109s (1) cores
% 0.49/0.45 % new_ho_11 with pid 1755189 completed with status 0
% 0.49/0.45 % Result found by new_ho_11
% 0.49/0.45 % Preprocessing class: HSLMSMSMSSLCSSA.
% 0.49/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.45 % Starting new_ho_11 with 1200s (4) cores
% 0.49/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.49/0.45 % No SInE strategy applied
% 0.49/0.45 % Search class: HGHSM-FSLM31-MSSFFSBC
% 0.49/0.45 % partial match(1): HGHSM-FSLM31-MSSFFSBN
% 0.49/0.45 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.49/0.45 % Starting SubtermCWHack with 109s (1) cores
% 0.49/0.45 % Starting new_ho_11 with 121s (1) cores
% 0.49/0.45 % Preprocessing time : 0.011 s
% 0.49/0.45 % Presaturation interreduction done
% 0.49/0.45
% 0.49/0.45 % Proof found!
% 0.49/0.45 % SZS status Theorem
% 0.49/0.45 % SZS output start CNFRefutation
% 0.49/0.45 thf(decl_sort1, type, set_Product_prod_b_b: $tType).
% 0.49/0.45 thf(decl_sort2, type, b: $tType).
% 0.49/0.45 thf(decl_sort3, type, set_b: $tType).
% 0.49/0.45 thf(decl_sort4, type, labele1159362096nt_a_b: $tType).
% 0.49/0.45 thf(decl_sort5, type, standard_Constant_a: $tType).
% 0.49/0.45 thf(decl_33, type, hilbert_Eps_b: (b > $o) > b).
% 0.49/0.45 thf(decl_35, type, standard_S_Idt_a: standard_Constant_a).
% 0.49/0.45 thf(decl_36, type, getRel904497637nt_a_b: standard_Constant_a > labele1159362096nt_a_b > set_Product_prod_b_b).
% 0.49/0.45 thf(decl_59, type, bot_bot_set_b: set_b).
% 0.49/0.45 thf(decl_83, type, image_b_b: set_Product_prod_b_b > set_b > set_b).
% 0.49/0.45 thf(decl_100, type, insert_b: b > set_b > set_b).
% 0.49/0.45 thf(decl_118, type, member_b: b > set_b > $o).
% 0.49/0.45 thf(decl_119, type, g: labele1159362096nt_a_b).
% 0.49/0.45 thf(decl_122, type, x: b).
% 0.49/0.45 thf(decl_123, type, y: b).
% 0.49/0.45 thf(decl_256, type, epred10_1: set_b > b > $o).
% 0.49/0.45 thf(conj_0, conjecture, ((hilbert_Eps_b @ (^[X3:b]:((member_b @ X3 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ x @ bot_bot_set_b))))))=(hilbert_Eps_b @ (^[X3:b]:((member_b @ X3 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ y @ bot_bot_set_b))))))), file('/export/starexec/sandbox2/tmp/tmp.sKoV3dFeMv/E---3.1_1755167.p', conj_0)).
% 0.49/0.45 thf(fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062, axiom, ((image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ x @ bot_bot_set_b))=(image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ y @ bot_bot_set_b))), file('/export/starexec/sandbox2/tmp/tmp.sKoV3dFeMv/E---3.1_1755167.p', fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062)).
% 0.49/0.45 thf(c_0_2, negated_conjecture, ~(((hilbert_Eps_b @ (^[X3:b]:((member_b @ X3 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ x @ bot_bot_set_b))))))=(hilbert_Eps_b @ (^[X3:b]:((member_b @ X3 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ y @ bot_bot_set_b)))))))), inference(assume_negation,[status(cth)],[conj_0])).
% 0.49/0.45 thf(c_0_3, negated_conjecture, ((hilbert_Eps_b @ (^[Z0:b]:((member_b @ Z0 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ x @ bot_bot_set_b))))))!=(hilbert_Eps_b @ (^[Z0:b]:((member_b @ Z0 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ y @ bot_bot_set_b))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])).
% 0.49/0.45 thf(c_0_4, negated_conjecture, ((hilbert_Eps_b @ (^[Z0:b]:((member_b @ Z0 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ x @ bot_bot_set_b))))))!=(hilbert_Eps_b @ (^[Z0:b]:((member_b @ Z0 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ y @ bot_bot_set_b))))))), inference(fof_nnf,[status(thm)],[c_0_3])).
% 0.49/0.45 thf(c_0_5, plain, ![X2622:b, X16:set_b]:(((epred10_1 @ X16 @ X2622)<=>(member_b @ X2622 @ X16))), introduced(definition)).
% 0.49/0.45 thf(c_0_6, negated_conjecture, ((hilbert_Eps_b @ (epred10_1 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ x @ bot_bot_set_b))))!=(hilbert_Eps_b @ (epred10_1 @ (image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ y @ bot_bot_set_b))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_4]), c_0_5]), c_0_5])).
% 0.49/0.45 thf(c_0_7, plain, ((image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ x @ bot_bot_set_b))=(image_b_b @ (getRel904497637nt_a_b @ standard_S_Idt_a @ g) @ (insert_b @ y @ bot_bot_set_b))), inference(split_conjunct,[status(thm)],[fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062])).
% 0.49/0.45 thf(c_0_8, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_6, c_0_7]), ['proof']).
% 0.49/0.45 % SZS output end CNFRefutation
% 0.49/0.45 % Parsed axioms : 489
% 0.49/0.45 % Removed by relevancy pruning/SinE : 0
% 0.49/0.45 % Initial clauses : 809
% 0.49/0.45 % Removed in clause preprocessing : 157
% 0.49/0.45 % Initial clauses in saturation : 652
% 0.49/0.45 % Processed clauses : 707
% 0.49/0.45 % ...of these trivial : 3
% 0.49/0.45 % ...subsumed : 119
% 0.49/0.45 % ...remaining for further processing : 585
% 0.49/0.45 % Other redundant clauses eliminated : 79
% 0.49/0.45 % Clauses deleted for lack of memory : 0
% 0.49/0.45 % Backward-subsumed : 2
% 0.49/0.45 % Backward-rewritten : 3
% 0.49/0.45 % Generated clauses : 69
% 0.49/0.45 % ...of the previous two non-redundant : 49
% 0.49/0.45 % ...aggressively subsumed : 0
% 0.49/0.45 % Contextual simplify-reflections : 8
% 0.49/0.45 % Paramodulations : 1
% 0.49/0.45 % Factorizations : 0
% 0.49/0.45 % NegExts : 0
% 0.49/0.45 % Equation resolutions : 79
% 0.49/0.45 % Disequality decompositions : 0
% 0.49/0.45 % Total rewrite steps : 31
% 0.49/0.45 % ...of those cached : 10
% 0.49/0.45 % Propositional unsat checks : 0
% 0.49/0.45 % Propositional check models : 0
% 0.49/0.45 % Propositional check unsatisfiable : 0
% 0.49/0.45 % Propositional clauses : 0
% 0.49/0.45 % Propositional clauses after purity: 0
% 0.49/0.45 % Propositional unsat core size : 0
% 0.49/0.45 % Propositional preprocessing time : 0.000
% 0.49/0.45 % Propositional encoding time : 0.000
% 0.49/0.45 % Propositional solver time : 0.000
% 0.49/0.45 % Success case prop preproc time : 0.000
% 0.49/0.45 % Success case prop encoding time : 0.000
% 0.49/0.45 % Success case prop solver time : 0.000
% 0.49/0.45 % Current number of processed clauses : 6
% 0.49/0.45 % Positive orientable unit clauses : 2
% 0.49/0.45 % Positive unorientable unit clauses: 0
% 0.49/0.45 % Negative unit clauses : 4
% 0.49/0.45 % Non-unit-clauses : 0
% 0.49/0.45 % Current number of unprocessed clauses: 500
% 0.49/0.45 % ...number of literals in the above : 1082
% 0.49/0.45 % Current number of archived formulas : 0
% 0.49/0.45 % Current number of archived clauses : 511
% 0.49/0.45 % Clause-clause subsumption calls (NU) : 34318
% 0.49/0.45 % Rec. Clause-clause subsumption calls : 24025
% 0.49/0.45 % Non-unit clause-clause subsumptions : 106
% 0.49/0.45 % Unit Clause-clause subsumption calls : 623
% 0.49/0.45 % Rewrite failures with RHS unbound : 0
% 0.49/0.45 % BW rewrite match attempts : 41
% 0.49/0.45 % BW rewrite match successes : 25
% 0.49/0.45 % Condensation attempts : 0
% 0.49/0.45 % Condensation successes : 0
% 0.49/0.45 % Termbank termtop insertions : 57841
% 0.49/0.45 % Search garbage collected termcells : 14691
% 0.49/0.45
% 0.49/0.45 % -------------------------------------------------
% 0.49/0.45 % User time : 0.101 s
% 0.49/0.45 % System time : 0.019 s
% 0.49/0.45 % Total time : 0.121 s
% 0.49/0.45 % Maximum resident set size: 7444 pages
% 0.49/0.45
% 0.49/0.45 % -------------------------------------------------
% 0.49/0.45 % User time : 0.302 s
% 0.49/0.45 % System time : 0.050 s
% 0.49/0.45 % Total time : 0.352 s
% 0.49/0.45 % Maximum resident set size: 5888 pages
% 0.49/0.45 % E exiting
%------------------------------------------------------------------------------