0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.15/0.36 % Computer : n016.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1200 0.15/0.36 % WCLimit : 120 0.15/0.36 % DateTime : Tue Jul 13 11:40:53 EDT 2021 0.15/0.36 % CPUTime : 0.15/0.36 % Number of cores: 8 0.15/0.36 % Python version: Python 3.6.8 0.15/0.36 # Version: 2.6rc1-ho 0.15/0.37 # No SInE strategy applied 0.15/0.37 # Trying AutoSched0 for 59 seconds 59.18/59.37 # AutoSched0-Mode selected heuristic h208_C09_12_F1_SE_CS_SP_PS_S070I 59.18/59.37 # and selection function SelectVGNonCR. 59.18/59.37 # 59.18/59.37 # Preprocessing time : 0.051 s 59.18/59.37 # Presaturation interreduction done 59.22/59.45 # No success with AutoSched0 59.22/59.45 # Trying AutoSched1 for 26 seconds 68.79/68.97 # AutoSched1-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y 68.79/68.97 # and selection function SelectMaxLComplexAvoidPosPred. 68.79/68.97 # 68.79/68.97 # Preprocessing time : 0.024 s 68.79/68.97 # Presaturation interreduction done 68.79/68.97 68.79/68.97 # Proof found! 68.79/68.97 # SZS status Theorem 68.79/68.97 # SZS output start CNFRefutation 68.79/68.97 thf(fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062, axiom, ((lower_191460856_ereal @ x0 @ f<=>![X8:extended_ereal]:(ord_le2001149050_ereal @ X8 @ (f @ x0)=>?[X9:set_a]:((member_a @ x0 @ X9&![X10:a]:(ord_le2001149050_ereal @ X8 @ (f @ X10)<=member_a @ X10 @ X9))&topolo1276428101open_a @ X9)))<=(f @ x0)=(extend1289208545_ereal)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062)). 68.79/68.97 thf(conj_0, conjecture, (lower_191460856_ereal @ x0 @ f<~>~(![X8:extended_ereal]:(?[X9:set_a]:((topolo1276428101open_a @ X9&![X10:a]:(ord_le2001149050_ereal @ X8 @ (f @ X10)<=member_a @ X10 @ X9))&member_a @ x0 @ X9)<=ord_le2001149050_ereal @ X8 @ (f @ x0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 68.79/68.97 thf(fact_3_lsc__at__MInfty, axiom, ![X17:a > extended_ereal, X18:a]:(lower_191460856_ereal @ X18 @ X17<=(X17 @ X18)=(uminus1208298309_ereal @ extend1289208545_ereal)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3_lsc__at__MInfty)). 68.79/68.97 thf(fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062, axiom, ((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)=>(lower_191460856_ereal @ x0 @ f<=>![X8:extended_ereal]:(ord_le2001149050_ereal @ X8 @ (f @ x0)=>?[X9:set_a]:((![X10:a]:(member_a @ X10 @ X9=>ord_le2001149050_ereal @ X8 @ (f @ X10))&member_a @ x0 @ X9)&topolo1276428101open_a @ X9)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062)). 68.79/68.97 thf(fact_37_MInfty__eq__minfinity, axiom, (extended_MInfty)=(uminus1208298309_ereal @ extend1289208545_ereal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_37_MInfty__eq__minfinity)). 68.79/68.97 thf(fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062, axiom, ((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)=>((f @ x0)!=(extend1289208545_ereal)=>(lower_191460856_ereal @ x0 @ f<=>![X8:extended_ereal]:(?[X9:set_a]:((member_a @ x0 @ X9&![X10:a]:(ord_le2001149050_ereal @ X8 @ (f @ X10)<=member_a @ X10 @ X9))&topolo1276428101open_a @ X9)<=ord_le2001149050_ereal @ X8 @ (f @ x0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062)). 68.79/68.97 thf(c_0_6, plain, ((f @ x0)=(extend1289208545_ereal)=>(lower_191460856_ereal @ x0 @ f<=>![X8:extended_ereal]:(ord_le2001149050_ereal @ X8 @ (f @ x0)=>?[X9:set_a]:((member_a @ x0 @ X9&![X10:a]:(member_a @ X10 @ X9=>ord_le2001149050_ereal @ X8 @ (f @ X10)))&topolo1276428101open_a @ X9)))), inference(fof_simplification,[status(thm)],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062])). 68.79/68.97 thf(c_0_7, negated_conjecture, ~(~((lower_191460856_ereal @ x0 @ f<=>~(![X8:extended_ereal]:(ord_le2001149050_ereal @ X8 @ (f @ x0)=>?[X9:set_a]:((topolo1276428101open_a @ X9&![X10:a]:(member_a @ X10 @ X9=>ord_le2001149050_ereal @ X8 @ (f @ X10)))&member_a @ x0 @ X9)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 68.79/68.97 thf(c_0_8, plain, ![X17:a > extended_ereal, X18:a]:((X17 @ X18)=(uminus1208298309_ereal @ extend1289208545_ereal)=>lower_191460856_ereal @ X18 @ X17), inference(fof_simplification,[status(thm)],[fact_3_lsc__at__MInfty])). 68.79/68.97 thf(c_0_9, plain, ![X354:extended_ereal, X356:a, X358:set_a]:((((member_a @ x0 @ (esk6_1 @ X354)|~ord_le2001149050_ereal @ X354 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal))&(~member_a @ X356 @ (esk6_1 @ X354)|ord_le2001149050_ereal @ X354 @ (f @ X356)|~ord_le2001149050_ereal @ X354 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal)))&(topolo1276428101open_a @ (esk6_1 @ X354)|~ord_le2001149050_ereal @ X354 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal)))&((ord_le2001149050_ereal @ esk7_0 @ (f @ x0)|lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal))&((member_a @ (esk8_1 @ X358) @ X358|~member_a @ x0 @ X358|~topolo1276428101open_a @ X358|lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal))&(~ord_le2001149050_ereal @ esk7_0 @ (f @ (esk8_1 @ X358))|~member_a @ x0 @ X358|~topolo1276428101open_a @ X358|lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])). 68.79/68.97 thf(c_0_10, negated_conjecture, ![X346:set_a, X348:extended_ereal, X350:a]:(((ord_le2001149050_ereal @ esk3_0 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f)&((member_a @ (esk4_1 @ X346) @ X346|~topolo1276428101open_a @ X346|~member_a @ x0 @ X346|~lower_191460856_ereal @ x0 @ f)&(~ord_le2001149050_ereal @ esk3_0 @ (f @ (esk4_1 @ X346))|~topolo1276428101open_a @ X346|~member_a @ x0 @ X346|~lower_191460856_ereal @ x0 @ f)))&(((topolo1276428101open_a @ (esk5_1 @ X348)|~ord_le2001149050_ereal @ X348 @ (f @ x0)|lower_191460856_ereal @ x0 @ f)&(~member_a @ X350 @ (esk5_1 @ X348)|ord_le2001149050_ereal @ X348 @ (f @ X350)|~ord_le2001149050_ereal @ X348 @ (f @ x0)|lower_191460856_ereal @ x0 @ f))&(member_a @ x0 @ (esk5_1 @ X348)|~ord_le2001149050_ereal @ X348 @ (f @ x0)|lower_191460856_ereal @ x0 @ f))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])). 68.79/68.97 thf(c_0_11, plain, ![X374:a > extended_ereal, X375:a]:((X374 @ X375)!=(uminus1208298309_ereal @ extend1289208545_ereal)|lower_191460856_ereal @ X375 @ X374), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])). 68.79/68.97 thf(c_0_12, plain, ![X10:a, X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ X10)|~member_a @ X10 @ (esk6_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_9])). 68.79/68.97 thf(c_0_13, negated_conjecture, ![X9:set_a]:(member_a @ (esk4_1 @ X9) @ X9|~topolo1276428101open_a @ X9|~member_a @ x0 @ X9|~lower_191460856_ereal @ x0 @ f), inference(split_conjunct,[status(thm)],[c_0_10])). 68.79/68.97 thf(c_0_14, plain, ![X1:extended_ereal]:(topolo1276428101open_a @ (esk6_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_9])). 68.79/68.97 thf(c_0_15, plain, ![X1:extended_ereal]:(member_a @ x0 @ (esk6_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_9])). 68.79/68.97 thf(c_0_16, plain, ![X481:extended_ereal, X483:a, X485:set_a]:((((~member_a @ X483 @ (esk29_1 @ X481)|ord_le2001149050_ereal @ X481 @ (f @ X483)|~ord_le2001149050_ereal @ X481 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))&(member_a @ x0 @ (esk29_1 @ X481)|~ord_le2001149050_ereal @ X481 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))&(topolo1276428101open_a @ (esk29_1 @ X481)|~ord_le2001149050_ereal @ X481 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))&((ord_le2001149050_ereal @ esk30_0 @ (f @ x0)|lower_191460856_ereal @ x0 @ f|(f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))&((member_a @ (esk31_1 @ X485) @ X485|~member_a @ x0 @ X485|~topolo1276428101open_a @ X485|lower_191460856_ereal @ x0 @ f|(f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))&(~ord_le2001149050_ereal @ esk30_0 @ (f @ (esk31_1 @ X485))|~member_a @ x0 @ X485|~topolo1276428101open_a @ X485|lower_191460856_ereal @ x0 @ f|(f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062])])])])])). 68.79/68.97 thf(c_0_17, plain, ![X17:a > extended_ereal, X10:a]:(lower_191460856_ereal @ X10 @ X17|(X17 @ X10)!=(uminus1208298309_ereal @ extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_11])). 68.79/68.97 thf(c_0_18, plain, (extended_MInfty)=(uminus1208298309_ereal @ extend1289208545_ereal), inference(split_conjunct,[status(thm)],[fact_37_MInfty__eq__minfinity])). 68.79/68.97 thf(c_0_19, negated_conjecture, ![X9:set_a]:(~ord_le2001149050_ereal @ esk3_0 @ (f @ (esk4_1 @ X9))|~topolo1276428101open_a @ X9|~member_a @ x0 @ X9|~lower_191460856_ereal @ x0 @ f), inference(split_conjunct,[status(thm)],[c_0_10])). 68.79/68.97 thf(c_0_20, negated_conjecture, ![X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ (esk4_1 @ (esk6_1 @ X1)))|(f @ x0)!=(extend1289208545_ereal)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14]), c_0_15])). 68.79/68.97 thf(c_0_21, negated_conjecture, (ord_le2001149050_ereal @ esk3_0 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f), inference(split_conjunct,[status(thm)],[c_0_10])). 68.79/68.97 thf(c_0_22, plain, ![X10:a, X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ X10)|~member_a @ X10 @ (esk29_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_16])). 68.79/68.97 thf(c_0_23, plain, ![X17:a > extended_ereal, X10:a]:(lower_191460856_ereal @ X10 @ X17|(X17 @ X10)!=(extended_MInfty)), inference(rw,[status(thm)],[c_0_17, c_0_18])). 68.79/68.97 thf(c_0_24, plain, ![X1:extended_ereal]:(topolo1276428101open_a @ (esk29_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_16])). 68.79/68.97 thf(c_0_25, plain, ![X1:extended_ereal]:(member_a @ x0 @ (esk29_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_16])). 68.79/68.97 thf(c_0_26, negated_conjecture, ((f @ x0)!=(extend1289208545_ereal)|~member_a @ x0 @ (esk6_1 @ esk3_0)|~lower_191460856_ereal @ x0 @ f), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_14]), c_0_21])). 68.79/68.97 thf(c_0_27, plain, ((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)=>((f @ x0)!=(extend1289208545_ereal)=>(lower_191460856_ereal @ x0 @ f<=>![X8:extended_ereal]:(ord_le2001149050_ereal @ X8 @ (f @ x0)=>?[X9:set_a]:((member_a @ x0 @ X9&![X10:a]:(member_a @ X10 @ X9=>ord_le2001149050_ereal @ X8 @ (f @ X10)))&topolo1276428101open_a @ X9))))), inference(fof_simplification,[status(thm)],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062])). 68.79/68.97 thf(c_0_28, plain, ![X10:a, X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ X10)|(f @ x0)!=(extended_MInfty)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~member_a @ X10 @ (esk29_1 @ X1)), inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_18]), c_0_23])). 68.79/68.97 thf(c_0_29, plain, ![X1:extended_ereal]:(topolo1276428101open_a @ (esk29_1 @ X1)|(f @ x0)!=(extended_MInfty)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f), inference(rw,[status(thm)],[c_0_24, c_0_18])). 68.79/68.97 thf(c_0_30, plain, ![X1:extended_ereal]:(member_a @ x0 @ (esk29_1 @ X1)|(f @ x0)!=(extended_MInfty)|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_18]), c_0_23])). 68.79/68.97 thf(c_0_31, negated_conjecture, ![X10:a, X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ X10)|lower_191460856_ereal @ x0 @ f|~member_a @ X10 @ (esk5_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(split_conjunct,[status(thm)],[c_0_10])). 68.79/68.97 thf(c_0_32, plain, ![X9:set_a]:(member_a @ (esk8_1 @ X9) @ X9|lower_191460856_ereal @ x0 @ f|~member_a @ x0 @ X9|~topolo1276428101open_a @ X9|(f @ x0)!=(extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_9])). 68.79/68.97 thf(c_0_33, negated_conjecture, ![X1:extended_ereal]:(topolo1276428101open_a @ (esk5_1 @ X1)|lower_191460856_ereal @ x0 @ f|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(split_conjunct,[status(thm)],[c_0_10])). 68.79/68.97 thf(c_0_34, negated_conjecture, ![X1:extended_ereal]:(member_a @ x0 @ (esk5_1 @ X1)|lower_191460856_ereal @ x0 @ f|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(split_conjunct,[status(thm)],[c_0_10])). 68.79/68.97 thf(c_0_35, negated_conjecture, ((f @ x0)!=(extend1289208545_ereal)|~lower_191460856_ereal @ x0 @ f), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_15]), c_0_21])). 68.79/68.97 thf(c_0_36, plain, (ord_le2001149050_ereal @ esk7_0 @ (f @ x0)|lower_191460856_ereal @ x0 @ f|(f @ x0)!=(extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_9])). 68.79/68.97 thf(c_0_37, plain, ![X423:extended_ereal, X425:a, X427:set_a]:((((member_a @ x0 @ (esk18_1 @ X423)|~ord_le2001149050_ereal @ X423 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))&(~member_a @ X425 @ (esk18_1 @ X423)|ord_le2001149050_ereal @ X423 @ (f @ X425)|~ord_le2001149050_ereal @ X423 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)))&(topolo1276428101open_a @ (esk18_1 @ X423)|~ord_le2001149050_ereal @ X423 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)))&((ord_le2001149050_ereal @ esk19_0 @ (f @ x0)|lower_191460856_ereal @ x0 @ f|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))&((member_a @ (esk20_1 @ X427) @ X427|~member_a @ x0 @ X427|~topolo1276428101open_a @ X427|lower_191460856_ereal @ x0 @ f|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))&(~ord_le2001149050_ereal @ esk19_0 @ (f @ (esk20_1 @ X427))|~member_a @ x0 @ X427|~topolo1276428101open_a @ X427|lower_191460856_ereal @ x0 @ f|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])). 68.79/68.97 thf(c_0_38, negated_conjecture, ![X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ (esk4_1 @ (esk29_1 @ X1)))|(f @ x0)!=(extended_MInfty)|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_13]), c_0_29]), c_0_23]), c_0_30])). 68.79/68.97 thf(c_0_39, negated_conjecture, (ord_le2001149050_ereal @ esk3_0 @ (f @ x0)|(f @ x0)!=(extended_MInfty)), inference(spm,[status(thm)],[c_0_21, c_0_23])). 68.79/68.97 thf(c_0_40, plain, ![X9:set_a]:(lower_191460856_ereal @ x0 @ f|~ord_le2001149050_ereal @ esk7_0 @ (f @ (esk8_1 @ X9))|~member_a @ x0 @ X9|~topolo1276428101open_a @ X9|(f @ x0)!=(extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_9])). 68.79/68.97 thf(c_0_41, negated_conjecture, ![X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ (esk8_1 @ (esk5_1 @ X1)))|(f @ x0)!=(extend1289208545_ereal)|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_34]), c_0_35])). 68.79/68.97 thf(c_0_42, negated_conjecture, (ord_le2001149050_ereal @ esk7_0 @ (f @ x0)|(f @ x0)!=(extend1289208545_ereal)), inference(spm,[status(thm)],[c_0_35, c_0_36])). 68.79/68.97 thf(c_0_43, plain, (ord_le2001149050_ereal @ esk19_0 @ (f @ x0)|lower_191460856_ereal @ x0 @ f|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_37])). 68.79/68.97 thf(c_0_44, negated_conjecture, ((f @ x0)!=(extended_MInfty)|~member_a @ x0 @ (esk29_1 @ esk3_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_38]), c_0_29]), c_0_23]), c_0_39])). 68.79/68.97 thf(c_0_45, plain, ![X9:set_a]:(member_a @ (esk20_1 @ X9) @ X9|lower_191460856_ereal @ x0 @ f|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)|~member_a @ x0 @ X9|~topolo1276428101open_a @ X9), inference(split_conjunct,[status(thm)],[c_0_37])). 68.79/68.97 thf(c_0_46, negated_conjecture, ((f @ x0)!=(extend1289208545_ereal)|~member_a @ x0 @ (esk5_1 @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_33]), c_0_42]), c_0_35])). 68.79/68.97 thf(c_0_47, plain, ((f @ x0)=(extended_MInfty)|(f @ x0)=(extend1289208545_ereal)|ord_le2001149050_ereal @ esk19_0 @ (f @ x0)|lower_191460856_ereal @ x0 @ f), inference(rw,[status(thm)],[c_0_43, c_0_18])). 68.79/68.97 thf(c_0_48, negated_conjecture, (f @ x0)!=(extended_MInfty), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_30]), c_0_39])). 68.79/68.97 thf(c_0_49, plain, ![X9:set_a]:(lower_191460856_ereal @ x0 @ f|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)|~ord_le2001149050_ereal @ esk19_0 @ (f @ (esk20_1 @ X9))|~member_a @ x0 @ X9|~topolo1276428101open_a @ X9), inference(split_conjunct,[status(thm)],[c_0_37])). 68.79/68.97 thf(c_0_50, plain, ![X9:set_a]:((f @ x0)=(extend1289208545_ereal)|member_a @ (esk20_1 @ X9) @ X9|lower_191460856_ereal @ x0 @ f|~member_a @ x0 @ X9|~topolo1276428101open_a @ X9), inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_18]), c_0_23])). 68.79/68.97 thf(c_0_51, negated_conjecture, (f @ x0)!=(extend1289208545_ereal), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_34]), c_0_42]), c_0_35])). 68.79/68.97 thf(c_0_52, plain, ((f @ x0)=(extend1289208545_ereal)|ord_le2001149050_ereal @ esk19_0 @ (f @ x0)|lower_191460856_ereal @ x0 @ f), inference(sr,[status(thm)],[c_0_47, c_0_48])). 68.79/68.97 thf(c_0_53, plain, ![X9:set_a]:((f @ x0)=(extend1289208545_ereal)|lower_191460856_ereal @ x0 @ f|~ord_le2001149050_ereal @ esk19_0 @ (f @ (esk20_1 @ X9))|~member_a @ x0 @ X9|~topolo1276428101open_a @ X9), inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_18]), c_0_23])). 68.79/68.97 thf(c_0_54, negated_conjecture, ![X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ (esk20_1 @ (esk5_1 @ X1)))|lower_191460856_ereal @ x0 @ f|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_50]), c_0_51]), c_0_33]), c_0_34])). 68.79/68.97 thf(c_0_55, plain, (ord_le2001149050_ereal @ esk19_0 @ (f @ x0)|lower_191460856_ereal @ x0 @ f), inference(sr,[status(thm)],[c_0_52, c_0_51])). 68.79/68.97 thf(c_0_56, plain, ![X10:a, X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ X10)|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)|~member_a @ X10 @ (esk18_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f), inference(split_conjunct,[status(thm)],[c_0_37])). 68.79/68.97 thf(c_0_57, negated_conjecture, (lower_191460856_ereal @ x0 @ f|~member_a @ x0 @ (esk5_1 @ esk19_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_51]), c_0_33]), c_0_55])). 68.79/68.97 thf(c_0_58, plain, ![X1:extended_ereal]:(topolo1276428101open_a @ (esk18_1 @ X1)|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f), inference(split_conjunct,[status(thm)],[c_0_37])). 68.79/68.97 thf(c_0_59, plain, ![X1:extended_ereal]:(member_a @ x0 @ (esk18_1 @ X1)|(f @ x0)=(extend1289208545_ereal)|(f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f), inference(split_conjunct,[status(thm)],[c_0_37])). 68.79/68.97 thf(c_0_60, plain, ![X10:a, X1:extended_ereal]:((f @ x0)=(extended_MInfty)|(f @ x0)=(extend1289208545_ereal)|ord_le2001149050_ereal @ X1 @ (f @ X10)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~member_a @ X10 @ (esk18_1 @ X1)|~lower_191460856_ereal @ x0 @ f), inference(rw,[status(thm)],[c_0_56, c_0_18])). 68.79/68.97 thf(c_0_61, negated_conjecture, lower_191460856_ereal @ x0 @ f, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_34]), c_0_55])). 68.79/68.97 thf(c_0_62, plain, ![X1:extended_ereal]:((f @ x0)=(extended_MInfty)|(f @ x0)=(extend1289208545_ereal)|topolo1276428101open_a @ (esk18_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f), inference(rw,[status(thm)],[c_0_58, c_0_18])). 68.79/68.97 thf(c_0_63, plain, ![X1:extended_ereal]:((f @ x0)=(extended_MInfty)|(f @ x0)=(extend1289208545_ereal)|member_a @ x0 @ (esk18_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~lower_191460856_ereal @ x0 @ f), inference(rw,[status(thm)],[c_0_59, c_0_18])). 68.79/68.97 thf(c_0_64, plain, ![X10:a, X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ X10)|~ord_le2001149050_ereal @ X1 @ (f @ x0)|~member_a @ X10 @ (esk18_1 @ X1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])]), c_0_51]), c_0_48])). 68.79/68.97 thf(c_0_65, negated_conjecture, ![X9:set_a]:(member_a @ (esk4_1 @ X9) @ X9|~member_a @ x0 @ X9|~topolo1276428101open_a @ X9), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_61])])). 68.79/68.97 thf(c_0_66, plain, ![X1:extended_ereal]:(topolo1276428101open_a @ (esk18_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_61])]), c_0_51]), c_0_48])). 68.79/68.97 thf(c_0_67, plain, ![X1:extended_ereal]:(member_a @ x0 @ (esk18_1 @ X1)|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_61])]), c_0_51]), c_0_48])). 68.79/68.97 thf(c_0_68, negated_conjecture, ![X9:set_a]:(~ord_le2001149050_ereal @ esk3_0 @ (f @ (esk4_1 @ X9))|~member_a @ x0 @ X9|~topolo1276428101open_a @ X9), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_61])])). 68.79/68.97 thf(c_0_69, negated_conjecture, ![X1:extended_ereal]:(ord_le2001149050_ereal @ X1 @ (f @ (esk4_1 @ (esk18_1 @ X1)))|~ord_le2001149050_ereal @ X1 @ (f @ x0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66]), c_0_67])). 68.79/68.97 thf(c_0_70, negated_conjecture, ord_le2001149050_ereal @ esk3_0 @ (f @ x0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_61])])). 68.79/68.97 thf(c_0_71, negated_conjecture, (~member_a @ x0 @ (esk18_1 @ esk3_0)|~topolo1276428101open_a @ (esk18_1 @ esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])])). 68.79/68.97 thf(c_0_72, negated_conjecture, ~member_a @ x0 @ (esk18_1 @ esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_66]), c_0_70])])). 68.79/68.97 thf(c_0_73, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_67]), c_0_70])]), ['proof']). 68.79/68.97 # SZS output end CNFRefutation 68.79/68.97 # Proof object total steps : 74 68.79/68.97 # Proof object clause steps : 59 68.79/68.97 # Proof object formula steps : 15 68.79/68.97 # Proof object conjectures : 30 68.79/68.97 # Proof object clause conjectures : 27 68.79/68.97 # Proof object formula conjectures : 3 68.79/68.97 # Proof object initial clauses used : 23 68.79/68.97 # Proof object initial formulas used : 6 68.79/68.97 # Proof object generating inferences : 18 68.79/68.97 # Proof object simplifying inferences : 69 68.79/68.97 # Training examples: 0 positive, 0 negative 68.79/68.97 # Parsed axioms : 138 68.79/68.97 # Removed by relevancy pruning/SinE : 0 68.79/68.97 # Initial clauses : 396 68.79/68.97 # Removed in clause preprocessing : 28 68.79/68.97 # Initial clauses in saturation : 368 68.79/68.97 # Processed clauses : 42979 68.79/68.97 # ...of these trivial : 106 68.79/68.97 # ...subsumed : 37541 68.79/68.97 # ...remaining for further processing : 5332 68.79/68.97 # Other redundant clauses eliminated : 2477 68.79/68.97 # Clauses deleted for lack of memory : 0 68.79/68.97 # Backward-subsumed : 367 68.79/68.97 # Backward-rewritten : 41 68.79/68.97 # Generated clauses : 540764 68.79/68.97 # ...of the previous two non-trivial : 493732 68.79/68.97 # Contextual simplify-reflections : 101 68.79/68.97 # Paramodulations : 535940 68.79/68.97 # Factorizations : 14 68.79/68.97 # NegExts : 0 68.79/68.97 # Equation resolutions : 2478 68.79/68.97 # Propositional unsat checks : 1 68.79/68.97 # Propositional check models : 0 68.79/68.97 # Propositional check unsatisfiable : 0 68.79/68.97 # Propositional clauses : 0 68.79/68.97 # Propositional clauses after purity: 0 68.79/68.97 # Propositional unsat core size : 0 68.79/68.97 # Propositional preprocessing time : 0.000 68.79/68.97 # Propositional encoding time : 0.722 68.79/68.97 # Propositional solver time : 0.287 68.79/68.97 # Success case prop preproc time : 0.000 68.79/68.97 # Success case prop encoding time : 0.000 68.79/68.97 # Success case prop solver time : 0.000 68.79/68.97 # Current number of processed clauses : 4561 68.79/68.97 # Positive orientable unit clauses : 288 68.79/68.97 # Positive unorientable unit clauses: 5 68.79/68.97 # Negative unit clauses : 101 68.79/68.97 # Non-unit-clauses : 4167 68.79/68.97 # Current number of unprocessed clauses: 450434 68.79/68.97 # ...number of literals in the above : 2907143 68.79/68.97 # Current number of archived formulas : 0 68.79/68.97 # Current number of archived clauses : 736 68.79/68.97 # Clause-clause subsumption calls (NU) : 2947282 68.79/68.97 # Rec. Clause-clause subsumption calls : 1150310 68.79/68.97 # Non-unit clause-clause subsumptions : 15892 68.79/68.97 # Unit Clause-clause subsumption calls : 82807 68.79/68.97 # Rewrite failures with RHS unbound : 0 68.79/68.97 # BW rewrite match attempts : 797 68.79/68.97 # BW rewrite match successes : 97 68.79/68.97 # Condensation attempts : 0 68.79/68.97 # Condensation successes : 0 68.79/68.97 # Termbank termtop insertions : 25188689 68.80/68.99 68.80/68.99 # ------------------------------------------------- 68.80/68.99 # User time : 67.289 s 68.80/68.99 # System time : 1.345 s 68.80/68.99 # Total time : 68.634 s 68.80/68.99 # Maximum resident set size: 1832 pages 68.80/68.99 EOF