0.04/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : run_E %s %d THM 0.14/0.36 % Computer : n023.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Thu Jul 4 08:18:39 EDT 2024 0.14/0.36 % CPUTime : 0.23/0.52 Running higher-order theorem proving 0.38/0.57 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.6iukrFHTjC/E---3.1_21721.p 0.42/0.67 # Version: 3.2.0-ho 0.42/0.67 # Preprocessing class: HSLSSMSMSSLNHSA. 0.42/0.67 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 0.42/0.67 # Starting ho_unfolding_8 with 540s (3) cores 0.42/0.67 # Starting new_bool_8 with 180s (1) cores 0.42/0.67 # Starting post_as_ho6 with 180s (1) cores 0.42/0.67 # Starting ho_unfolding_1 with 180s (1) cores 0.42/0.67 # Starting full_lambda_4 with 180s (1) cores 0.42/0.67 # Starting pre_casc_5 with 180s (1) cores 0.42/0.67 # full_lambda_4 with pid 21803 completed with status 0 0.42/0.67 # Result found by full_lambda_4 0.42/0.67 # Preprocessing class: HSLSSMSMSSLNHSA. 0.42/0.67 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 0.42/0.67 # Starting ho_unfolding_8 with 540s (3) cores 0.42/0.67 # Starting new_bool_8 with 180s (1) cores 0.42/0.67 # Starting post_as_ho6 with 180s (1) cores 0.42/0.67 # Starting ho_unfolding_1 with 180s (1) cores 0.42/0.67 # Starting full_lambda_4 with 180s (1) cores 0.42/0.67 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.42/0.67 # Search class: HGHSM-FSLM32-DHSFFSBN 0.42/0.67 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.42/0.67 # Starting full_lambda_3 with 83s (1) cores 0.42/0.67 # full_lambda_3 with pid 21806 completed with status 0 0.42/0.67 # Result found by full_lambda_3 0.42/0.67 # Preprocessing class: HSLSSMSMSSLNHSA. 0.42/0.67 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 0.42/0.67 # Starting ho_unfolding_8 with 540s (3) cores 0.42/0.67 # Starting new_bool_8 with 180s (1) cores 0.42/0.67 # Starting post_as_ho6 with 180s (1) cores 0.42/0.67 # Starting ho_unfolding_1 with 180s (1) cores 0.42/0.67 # Starting full_lambda_4 with 180s (1) cores 0.42/0.67 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.42/0.67 # Search class: HGHSM-FSLM32-DHSFFSBN 0.42/0.67 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.42/0.67 # Starting full_lambda_3 with 83s (1) cores 0.42/0.67 # Preprocessing time : 0.005 s 0.42/0.67 0.42/0.67 # Proof found! 0.42/0.67 # SZS status Theorem 0.42/0.67 # SZS output start CNFRefutation 0.42/0.67 thf(decl_sort1, type, variable: $tType). 0.42/0.67 thf(decl_sort2, type, real: $tType). 0.42/0.67 thf(decl_sort3, type, set_variable: $tType). 0.42/0.67 thf(decl_sort4, type, denotational_interp: $tType). 0.42/0.67 thf(decl_sort5, type, game: $tType). 0.42/0.67 thf(decl_sort6, type, set_variable_real: $tType). 0.42/0.67 thf(decl_sort7, type, produc1078154247n_game: $tType). 0.42/0.67 thf(decl_sort8, type, option_game: $tType). 0.42/0.67 thf(decl_sort9, type, produc1418842292n_game: $tType). 0.42/0.67 thf(decl_23, type, denota1245701238me_sem: denotational_interp > game > set_variable_real > set_variable_real). 0.42/0.67 thf(decl_32, type, uminus430703407e_real: set_variable_real > set_variable_real). 0.42/0.67 thf(decl_38, type, the_game: option_game > game). 0.42/0.67 thf(decl_60, type, produc293487213n_game: produc1078154247n_game > option_game). 0.42/0.67 thf(decl_75, type, uSubst1599435252djoint: produc1418842292n_game > denotational_interp > (variable > real) > denotational_interp). 0.42/0.67 thf(decl_76, type, uSubst516392814stappp: produc1418842292n_game > set_variable > game > produc1078154247n_game). 0.42/0.67 thf(decl_77, type, member_variable_real: (variable > real) > set_variable_real > $o). 0.42/0.67 thf(decl_80, type, i: denotational_interp). 0.42/0.67 thf(decl_82, type, ua: set_variable). 0.42/0.67 thf(decl_83, type, xa: set_variable_real). 0.42/0.67 thf(decl_84, type, alpha: game). 0.42/0.67 thf(decl_86, type, nu2: variable > real). 0.42/0.67 thf(decl_88, type, omega2: variable > real). 0.42/0.67 thf(decl_89, type, sigma: produc1418842292n_game). 0.42/0.67 thf(fact_13_Compl__iff, axiom, ![X191:variable > real, X16:set_variable_real]:(((member_variable_real @ X191 @ (uminus430703407e_real @ X16))<=>~((member_variable_real @ X191 @ X16)))), file('/export/starexec/sandbox/tmp/tmp.6iukrFHTjC/E---3.1_21721.p', fact_13_Compl__iff)). 0.42/0.67 thf(conj_0, conjecture, ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))<=>(member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))), file('/export/starexec/sandbox/tmp/tmp.6iukrFHTjC/E---3.1_21721.p', conj_0)). 0.42/0.67 thf(fact_10_ComplI, axiom, ![X144:variable > real, X16:set_variable_real]:(((member_variable_real @ X144 @ (uminus430703407e_real @ X16))<=~((member_variable_real @ X144 @ X16)))), file('/export/starexec/sandbox/tmp/tmp.6iukrFHTjC/E---3.1_21721.p', fact_10_ComplI)). 0.42/0.67 thf(fact_0__092_060open_062_092_060And_062X_O_A_I_092_060nu_062_A_092_060in_062_Agame__sem_AI_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_AX_J_A_061_A_I_092_060nu_062_A_092_060in_062_Agame__sem_A_IUSubst__Mirabelle__vidvnmlwwz_Oadjoint_A_092_060sigma_062_AI_A_092_060omega_062_J_A_092_060alpha_062_AX_J_092_060close_062, axiom, ![X413:set_variable_real]:(((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X413))<=>(member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X413)))), file('/export/starexec/sandbox/tmp/tmp.6iukrFHTjC/E---3.1_21721.p', fact_0__092_060open_062_092_060And_062X_O_A_I_092_060nu_062_A_092_060in_062_Agame__sem_AI_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_AX_J_A_061_A_I_092_060nu_062_A_092_060in_062_Agame__sem_A_IUSubst__Mirabelle__vidvnmlwwz_Oadjoint_A_092_060sigma_062_AI_A_092_060omega_062_J_A_092_060alpha_062_AX_J_092_060close_062)). 0.42/0.67 thf(c_0_4, plain, ![X191:variable > real, X16:set_variable_real]:(((member_variable_real @ X191 @ (uminus430703407e_real @ X16))<=>~(member_variable_real @ X191 @ X16))), inference(fof_simplification,[status(thm)],[fact_13_Compl__iff])). 0.42/0.67 thf(c_0_5, negated_conjecture, ~(((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))<=>(member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))))), inference(assume_negation,[status(cth)],[conj_0])). 0.42/0.67 thf(c_0_6, plain, ![X144:variable > real, X16:set_variable_real]:((~(member_variable_real @ X144 @ X16)=>(member_variable_real @ X144 @ (uminus430703407e_real @ X16)))), inference(fof_simplification,[status(thm)],[fact_10_ComplI])). 0.42/0.67 thf(c_0_7, plain, ![X1074:variable > real, X1075:set_variable_real]:(((~(member_variable_real @ X1074 @ (uminus430703407e_real @ X1075))|~(member_variable_real @ X1074 @ X1075))&((member_variable_real @ X1074 @ X1075)|(member_variable_real @ X1074 @ (uminus430703407e_real @ X1075))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])). 0.42/0.67 thf(c_0_8, negated_conjecture, ((~(member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))|~(member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))))&((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))|(member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])). 0.42/0.67 thf(c_0_9, plain, ![X1069:variable > real, X1070:set_variable_real]:(((member_variable_real @ X1069 @ X1070)|(member_variable_real @ X1069 @ (uminus430703407e_real @ X1070)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])). 0.42/0.67 thf(c_0_10, plain, ![X14:variable > real, X3:set_variable_real]:((~((member_variable_real @ X14 @ (uminus430703407e_real @ X3)))|~((member_variable_real @ X14 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.42/0.67 thf(c_0_11, negated_conjecture, ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))|(member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.42/0.67 thf(c_0_12, plain, ![X1130:set_variable_real]:(((~(member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X1130))|(member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X1130)))&(~(member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X1130))|(member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X1130))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__092_060open_062_092_060And_062X_O_A_I_092_060nu_062_A_092_060in_062_Agame__sem_AI_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_AX_J_A_061_A_I_092_060nu_062_A_092_060in_062_Agame__sem_A_IUSubst__Mirabelle__vidvnmlwwz_Oadjoint_A_092_060sigma_062_AI_A_092_060omega_062_J_A_092_060alpha_062_AX_J_092_060close_062])])])). 0.42/0.67 thf(c_0_13, negated_conjecture, (~((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))))|~((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.42/0.67 thf(c_0_14, plain, ![X14:variable > real, X3:set_variable_real]:(((member_variable_real @ X14 @ X3)|(member_variable_real @ X14 @ (uminus430703407e_real @ X3)))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.42/0.67 thf(c_0_15, negated_conjecture, ((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa))))|~((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))))), inference(spm,[status(thm)],[c_0_10, c_0_11])). 0.42/0.67 thf(c_0_16, plain, ![X3:set_variable_real]:(((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X3))|~((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X3))))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.42/0.67 thf(c_0_17, negated_conjecture, ((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa)))|~((member_variable_real @ nu2 @ (uminus430703407e_real @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.42/0.67 thf(c_0_18, negated_conjecture, ~((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ (uminus430703407e_real @ xa)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_15]), c_0_16])). 0.42/0.67 thf(c_0_19, plain, ![X3:set_variable_real]:(((member_variable_real @ nu2 @ (denota1245701238me_sem @ i @ (the_game @ (produc293487213n_game @ (uSubst516392814stappp @ sigma @ ua @ alpha))) @ X3))|~((member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ X3))))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.42/0.67 thf(c_0_20, negated_conjecture, (member_variable_real @ nu2 @ (denota1245701238me_sem @ (uSubst1599435252djoint @ sigma @ i @ omega2) @ alpha @ (uminus430703407e_real @ xa))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_14]), c_0_18])). 0.42/0.67 thf(c_0_21, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_18]), ['proof']). 0.42/0.67 # SZS output end CNFRefutation 0.42/0.67 # Parsed axioms : 438 0.42/0.67 # Removed by relevancy pruning/SinE : 263 0.42/0.67 # Initial clauses : 244 0.42/0.67 # Removed in clause preprocessing : 18 0.42/0.67 # Initial clauses in saturation : 226 0.42/0.67 # Processed clauses : 243 0.42/0.67 # ...of these trivial : 28 0.42/0.67 # ...subsumed : 61 0.42/0.67 # ...remaining for further processing : 154 0.42/0.67 # Other redundant clauses eliminated : 124 0.42/0.67 # Clauses deleted for lack of memory : 0 0.42/0.67 # Backward-subsumed : 0 0.42/0.67 # Backward-rewritten : 4 0.42/0.67 # Generated clauses : 713 0.42/0.67 # ...of the previous two non-redundant : 508 0.42/0.67 # ...aggressively subsumed : 0 0.42/0.67 # Contextual simplify-reflections : 1 0.42/0.67 # Paramodulations : 463 0.42/0.67 # Factorizations : 32 0.42/0.67 # NegExts : 0 0.42/0.67 # Equation resolutions : 131 0.42/0.67 # Disequality decompositions : 0 0.42/0.67 # Total rewrite steps : 158 0.42/0.67 # ...of those cached : 126 0.42/0.67 # Propositional unsat checks : 0 0.42/0.67 # Propositional check models : 0 0.42/0.67 # Propositional check unsatisfiable : 0 0.42/0.67 # Propositional clauses : 0 0.42/0.67 # Propositional clauses after purity: 0 0.42/0.67 # Propositional unsat core size : 0 0.42/0.67 # Propositional preprocessing time : 0.000 0.42/0.67 # Propositional encoding time : 0.000 0.42/0.67 # Propositional solver time : 0.000 0.42/0.67 # Success case prop preproc time : 0.000 0.42/0.67 # Success case prop encoding time : 0.000 0.42/0.67 # Success case prop solver time : 0.000 0.42/0.67 # Current number of processed clauses : 117 0.42/0.67 # Positive orientable unit clauses : 30 0.42/0.67 # Positive unorientable unit clauses: 1 0.42/0.67 # Negative unit clauses : 4 0.42/0.67 # Non-unit-clauses : 82 0.42/0.67 # Current number of unprocessed clauses: 486 0.42/0.67 # ...number of literals in the above : 1873 0.42/0.67 # Current number of archived formulas : 0 0.42/0.67 # Current number of archived clauses : 4 0.42/0.67 # Clause-clause subsumption calls (NU) : 3777 0.42/0.67 # Rec. Clause-clause subsumption calls : 1821 0.42/0.67 # Non-unit clause-clause subsumptions : 62 0.42/0.67 # Unit Clause-clause subsumption calls : 77 0.42/0.67 # Rewrite failures with RHS unbound : 0 0.42/0.67 # BW rewrite match attempts : 11 0.42/0.67 # BW rewrite match successes : 2 0.42/0.67 # Condensation attempts : 243 0.42/0.67 # Condensation successes : 0 0.42/0.67 # Termbank termtop insertions : 58122 0.42/0.67 # Search garbage collected termcells : 7429 0.42/0.67 0.42/0.67 # ------------------------------------------------- 0.42/0.67 # User time : 0.053 s 0.42/0.67 # System time : 0.007 s 0.42/0.67 # Total time : 0.059 s 0.42/0.67 # Maximum resident set size: 3624 pages 0.42/0.67 0.42/0.67 # ------------------------------------------------- 0.42/0.67 # User time : 0.066 s 0.42/0.67 # System time : 0.011 s 0.42/0.67 # Total time : 0.077 s 0.42/0.67 # Maximum resident set size: 2612 pages 0.42/0.67 % E---3.1 exiting 0.42/0.67 % E exiting 0.42/0.67 EOF