0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.22/0.55	% Computer : n022.cluster.edu
0.22/0.55	% Model    : x86_64 x86_64
0.22/0.55	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.22/0.55	% Memory   : 8046.5625MB
0.22/0.55	% OS       : Linux 6.8.0-71-generic
0.22/0.55	% CPULimit : 1440
0.22/0.55	% WCLimit  : 180
0.22/0.55	% DateTime : Mon Jul 27 09:05:20 UTC 2026
0.22/0.55	% CPUTime  : 
0.22/0.56	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.30/0.65	Running higher-order theorem proving
0.30/0.67	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=180 /export/starexec/sandbox2/tmp/tmp.2fxq1bwnH8/E---3.1_677587.p
0.42/0.70	% Version: 3.5.1-ho
0.42/0.70	% Preprocessing class: HSSSSMSSSSMNSSN.
0.42/0.70	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.42/0.70	% Starting sh3 with 900s (5) cores
0.42/0.70	% Starting ehoh_best8_lambda with 180s (1) cores
0.42/0.70	% Starting sh2lt with 180s (1) cores
0.42/0.70	% Starting ho_unfolding_1 with 180s (1) cores
0.42/0.70	% ho_unfolding_1 with pid 677603 completed with status 0
0.42/0.70	% Result found by ho_unfolding_1
0.42/0.70	% Preprocessing class: HSSSSMSSSSMNSSN.
0.42/0.70	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.42/0.70	% Starting sh3 with 900s (5) cores
0.42/0.70	% Starting ehoh_best8_lambda with 180s (1) cores
0.42/0.70	% Starting sh2lt with 180s (1) cores
0.42/0.70	% Starting ho_unfolding_1 with 180s (1) cores
0.42/0.70	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.42/0.70	% No SInE strategy applied
0.42/0.70	% Search class: HHUSF-FFSF22-MSSFFFNN
0.42/0.70	% partial match(1): HHUSF-FFSF22-SSSFFFNN
0.42/0.70	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.42/0.70	% Starting SubtermCWHack with 17s (1) cores
0.42/0.70	% SubtermCWHack with pid 677606 completed with status 10
0.42/0.70	% Starting ho_unfolding_1 with 19s (1) cores
0.42/0.70	% ho_unfolding_1 with pid 677611 completed with status 0
0.42/0.70	% Result found by ho_unfolding_1
0.42/0.70	% Preprocessing class: HSSSSMSSSSMNSSN.
0.42/0.70	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.42/0.70	% Starting sh3 with 900s (5) cores
0.42/0.70	% Starting ehoh_best8_lambda with 180s (1) cores
0.42/0.70	% Starting sh2lt with 180s (1) cores
0.42/0.70	% Starting ho_unfolding_1 with 180s (1) cores
0.42/0.70	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.42/0.70	% No SInE strategy applied
0.42/0.70	% Search class: HHUSF-FFSF22-MSSFFFNN
0.42/0.70	% partial match(1): HHUSF-FFSF22-SSSFFFNN
0.42/0.70	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
0.42/0.70	% Starting SubtermCWHack with 17s (1) cores
0.42/0.70	% SubtermCWHack with pid 677606 completed with status 10
0.42/0.70	% Starting ho_unfolding_1 with 19s (1) cores
0.42/0.70	% Preprocessing time       : 0.002 s
0.42/0.70	% Presaturation interreduction done
0.42/0.70	
0.42/0.70	% Proof found!
0.42/0.70	% SZS status Theorem
0.42/0.70	% SZS output start CNFRefutation
0.42/0.70	thf(decl_sort1, type, 'type/realax/real': $tType).
0.42/0.70	thf(decl_23, type, 'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real').
0.42/0.70	thf(decl_24, type, 'const/iterate/polynomial_function': ('type/realax/real' > 'type/realax/real') > $o).
0.42/0.70	thf(decl_25, type, esk1_0: 'type/realax/real' > 'type/realax/real').
0.42/0.70	thf(decl_26, type, esk2_0: 'type/realax/real').
0.42/0.70	thf(decl_29, type, esk5_1: 'type/realax/real' > 'type/realax/real').
0.42/0.70	thf('thm/iterate/POLYNOMIAL_FUNCTION_RMUL_', conjecture, ![X3:'type/realax/real' > 'type/realax/real', X2:'type/realax/real']:((('const/iterate/polynomial_function' @ X3)=>('const/iterate/polynomial_function' @ (^[X4:'type/realax/real']:('const/realax/real_mul' @ (X3 @ X4) @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.2fxq1bwnH8/E---3.1_677587.p', 'thm/iterate/POLYNOMIAL_FUNCTION_RMUL_')).
0.42/0.70	thf('thm/iterate/POLYNOMIAL_FUNCTION_LMUL_', axiom, ![X5:'type/realax/real' > 'type/realax/real', X2:'type/realax/real']:((('const/iterate/polynomial_function' @ (^[X4:'type/realax/real']:('const/realax/real_mul' @ X2 @ (X5 @ X4))))<=('const/iterate/polynomial_function' @ X5))), file('/export/starexec/sandbox2/tmp/tmp.2fxq1bwnH8/E---3.1_677587.p', 'thm/iterate/POLYNOMIAL_FUNCTION_LMUL_')).
0.42/0.70	thf('thm/realax/REAL_MUL_SYM_', axiom, ![X1:'type/realax/real', X2:'type/realax/real']:((('const/realax/real_mul' @ X1 @ X2)=('const/realax/real_mul' @ X2 @ X1))), file('/export/starexec/sandbox2/tmp/tmp.2fxq1bwnH8/E---3.1_677587.p', 'thm/realax/REAL_MUL_SYM_')).
0.42/0.70	thf(c_0_3, negated_conjecture, ~(![X3:'type/realax/real' > 'type/realax/real', X2:'type/realax/real']:((('const/iterate/polynomial_function' @ X3)=>('const/iterate/polynomial_function' @ (^[X4:'type/realax/real']:('const/realax/real_mul' @ (X3 @ X4) @ X2)))))), inference(assume_negation,[status(cth)],['thm/iterate/POLYNOMIAL_FUNCTION_RMUL_'])).
0.42/0.70	thf(c_0_4, plain, ![X5:'type/realax/real' > 'type/realax/real', X2:'type/realax/real']:((('const/iterate/polynomial_function' @ X5)=>('const/iterate/polynomial_function' @ (^[Z0:'type/realax/real']:('const/realax/real_mul' @ X2 @ (X5 @ Z0)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],['thm/iterate/POLYNOMIAL_FUNCTION_LMUL_'])])).
0.42/0.70	thf(c_0_5, negated_conjecture, ~(![X3:'type/realax/real' > 'type/realax/real', X2:'type/realax/real']:((('const/iterate/polynomial_function' @ X3)=>('const/iterate/polynomial_function' @ (^[Z0:'type/realax/real']:('const/realax/real_mul' @ (X3 @ Z0) @ X2)))))), inference(fof_simplification,[status(thm)],[c_0_3])).
0.42/0.70	thf(c_0_6, plain, ![X16:'type/realax/real' > 'type/realax/real', X17:'type/realax/real']:((~('const/iterate/polynomial_function' @ X16)|('const/iterate/polynomial_function' @ (^[Z0:'type/realax/real']:('const/realax/real_mul' @ X17 @ (X16 @ Z0)))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
0.42/0.70	thf(c_0_7, negated_conjecture, (('const/iterate/polynomial_function' @ esk1_0)&~('const/iterate/polynomial_function' @ (^[Z0:'type/realax/real']:('const/realax/real_mul' @ (esk1_0 @ Z0) @ esk2_0)))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])).
0.42/0.70	thf(c_0_8, plain, ![X1:'type/realax/real', X3:'type/realax/real' > 'type/realax/real']:((('const/iterate/polynomial_function' @ (^[Z0:'type/realax/real']:('const/realax/real_mul' @ X1 @ (X3 @ Z0))))|~(('const/iterate/polynomial_function' @ X3)))), inference(split_conjunct,[status(thm)],[c_0_6])).
0.42/0.70	thf(c_0_9, negated_conjecture, ('const/iterate/polynomial_function' @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_7])).
0.42/0.70	thf(c_0_10, negated_conjecture, ~(('const/iterate/polynomial_function' @ (^[Z0:'type/realax/real']:('const/realax/real_mul' @ (esk1_0 @ Z0) @ esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.42/0.70	thf(c_0_11, negated_conjecture, ![X1:'type/realax/real']:(('const/iterate/polynomial_function' @ (^[Z0:'type/realax/real']:('const/realax/real_mul' @ X1 @ (esk1_0 @ Z0))))), inference(spm,[status(thm)],[c_0_8, c_0_9])).
0.42/0.70	thf(c_0_12, plain, ![X1:'type/realax/real']:(((^[Z0:'type/realax/real']:('const/realax/real_mul' @ (esk1_0 @ Z0) @ esk2_0))!=(^[Z0:'type/realax/real']:('const/realax/real_mul' @ X1 @ (esk1_0 @ Z0))))), inference(ext_sup,[status(thm)],[c_0_10, c_0_11])).
0.42/0.70	thf(c_0_13, plain, ![X12:'type/realax/real', X13:'type/realax/real']:((('const/realax/real_mul' @ X12 @ X13)=('const/realax/real_mul' @ X13 @ X12))), inference(variable_rename,[status(thm)],['thm/realax/REAL_MUL_SYM_'])).
0.42/0.70	thf(c_0_14, plain, ![X1:'type/realax/real']:((('const/realax/real_mul' @ (esk1_0 @ (esk5_1 @ X1)) @ esk2_0)!=('const/realax/real_mul' @ X1 @ (esk1_0 @ (esk5_1 @ X1))))), inference(neg_ext,[status(thm)],[c_0_12])).
0.42/0.70	thf(c_0_15, plain, ![X2:'type/realax/real', X1:'type/realax/real']:((('const/realax/real_mul' @ X1 @ X2)=('const/realax/real_mul' @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_13])).
0.42/0.70	thf(c_0_16, plain, ![X1:'type/realax/real']:((('const/realax/real_mul' @ esk2_0 @ (esk1_0 @ (esk5_1 @ X1)))!=('const/realax/real_mul' @ X1 @ (esk1_0 @ (esk5_1 @ X1))))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
0.42/0.70	thf(c_0_17, plain, ($false), inference(er,[status(thm)],[c_0_16]), ['proof']).
0.42/0.70	% SZS output end CNFRefutation
0.42/0.70	% Parsed axioms                        : 6
0.42/0.70	% Removed by relevancy pruning/SinE    : 0
0.42/0.70	% Initial clauses                      : 7
0.42/0.70	% Removed in clause preprocessing      : 3
0.42/0.70	% Initial clauses in saturation        : 4
0.42/0.70	% Processed clauses                    : 16
0.42/0.70	% ...of these trivial                  : 0
0.42/0.70	% ...subsumed                          : 0
0.42/0.70	% ...remaining for further processing  : 16
0.42/0.70	% Other redundant clauses eliminated   : 0
0.42/0.70	% Clauses deleted for lack of memory   : 0
0.42/0.70	% Backward-subsumed                    : 0
0.42/0.70	% Backward-rewritten                   : 0
0.42/0.70	% Generated clauses                    : 17
0.42/0.70	% ...of the previous two non-redundant : 14
0.42/0.70	% ...aggressively subsumed             : 0
0.42/0.70	% Contextual simplify-reflections      : 0
0.42/0.70	% Paramodulations                      : 10
0.42/0.70	% Factorizations                       : 0
0.42/0.70	% NegExts                              : 3
0.42/0.70	% Equation resolutions                 : 1
0.42/0.70	% Disequality decompositions           : 0
0.42/0.70	% Total rewrite steps                  : 0
0.42/0.70	% ...of those cached                   : 0
0.42/0.70	% Propositional unsat checks           : 0
0.42/0.70	%    Propositional check models        : 0
0.42/0.70	%    Propositional check unsatisfiable : 0
0.42/0.70	%    Propositional clauses             : 0
0.42/0.70	%    Propositional clauses after purity: 0
0.42/0.70	%    Propositional unsat core size     : 0
0.42/0.70	%    Propositional preprocessing time  : 0.000
0.42/0.70	%    Propositional encoding time       : 0.000
0.42/0.70	%    Propositional solver time         : 0.000
0.42/0.70	%    Success case prop preproc time    : 0.000
0.42/0.70	%    Success case prop encoding time   : 0.000
0.42/0.70	%    Success case prop solver time     : 0.000
0.42/0.70	% Current number of processed clauses  : 12
0.42/0.70	%    Positive orientable unit clauses  : 2
0.42/0.70	%    Positive unorientable unit clauses: 1
0.42/0.70	%    Negative unit clauses             : 6
0.42/0.70	%    Non-unit-clauses                  : 3
0.42/0.70	% Current number of unprocessed clauses: 6
0.42/0.70	% ...number of literals in the above   : 10
0.42/0.70	% Current number of archived formulas  : 0
0.42/0.70	% Current number of archived clauses   : 4
0.42/0.70	% Clause-clause subsumption calls (NU) : 1
0.42/0.70	% Rec. Clause-clause subsumption calls : 0
0.42/0.70	% Non-unit clause-clause subsumptions  : 0
0.42/0.70	% Unit Clause-clause subsumption calls : 4
0.42/0.70	% Rewrite failures with RHS unbound    : 0
0.42/0.70	% BW rewrite match attempts            : 0
0.42/0.70	% BW rewrite match successes           : 0
0.42/0.70	% Condensation attempts                : 16
0.42/0.70	% Condensation successes               : 0
0.42/0.70	% Termbank termtop insertions          : 645
0.42/0.70	% Search garbage collected termcells   : 70
0.42/0.70	
0.42/0.70	% -------------------------------------------------
0.42/0.70	% User time                : 0.008 s
0.42/0.70	% System time              : 0.006 s
0.42/0.70	% Total time               : 0.014 s
0.42/0.70	% Maximum resident set size: 3632 pages
0.42/0.70	
0.42/0.70	% -------------------------------------------------
0.42/0.70	% User time                : 0.010 s
0.42/0.70	% System time              : 0.014 s
0.42/0.70	% Total time               : 0.023 s
0.42/0.70	% Maximum resident set size: 4608 pages
0.42/0.70	% E exiting
0.42/0.71	EOF