0.00/0.10 % Problem : Vampire---4.8_26967 : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_E %s %d THM 0.10/0.30 % Computer : n012.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 1440 0.10/0.30 % WCLimit : 180 0.10/0.30 % DateTime : Mon Jul 3 12:48:22 EDT 2023 0.10/0.31 % CPUTime : 0.15/0.42 Running higher-order theorem provingRunning: /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.w3fQ69Z86w/Vampire---4.8_26967 0.15/0.42 # Version: 3.1pre001-ho 9.71/1.68 # Preprocessing class: HSLSSMSSSSSNSSA. 9.71/1.68 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 9.71/1.68 # Starting post_as_ho12 with 720s (4) cores 9.71/1.68 # Starting post_as_ho5 with 360s (2) cores 9.71/1.68 # Starting post_as_ho4 with 180s (1) cores 9.71/1.68 # Starting new_ho_8 with 180s (1) cores 9.71/1.68 # post_as_ho5 with pid 27147 completed with status 0 9.71/1.68 # Result found by post_as_ho5 9.71/1.68 # Preprocessing class: HSLSSMSSSSSNSSA. 9.71/1.68 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 9.71/1.68 # Starting post_as_ho12 with 720s (4) cores 9.71/1.68 # Starting post_as_ho5 with 360s (2) cores 9.71/1.68 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 9.71/1.68 # Search class: HGHSS-FSLS32-SSSFFMBN 9.71/1.68 # partial match(3): HGHSM-FSLS32-MSSFFSBN 9.71/1.68 # Scheduled 6 strats onto 2 cores with 360 seconds (360 total) 9.71/1.68 # Starting new_ho_10 with 162s (1) cores 9.71/1.68 # Starting post_as_ho5 with 37s (1) cores 9.71/1.68 # post_as_ho5 with pid 27151 completed with status 0 9.71/1.68 # Result found by post_as_ho5 9.71/1.68 # Preprocessing class: HSLSSMSSSSSNSSA. 9.71/1.68 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 9.71/1.68 # Starting post_as_ho12 with 720s (4) cores 9.71/1.68 # Starting post_as_ho5 with 360s (2) cores 9.71/1.68 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 9.71/1.68 # Search class: HGHSS-FSLS32-SSSFFMBN 9.71/1.68 # partial match(3): HGHSM-FSLS32-MSSFFSBN 9.71/1.68 # Scheduled 6 strats onto 2 cores with 360 seconds (360 total) 9.71/1.68 # Starting new_ho_10 with 162s (1) cores 9.71/1.68 # Starting post_as_ho5 with 37s (1) cores 9.71/1.68 # Preprocessing time : 0.011 s 9.71/1.68 # Presaturation interreduction done 9.71/1.68 9.71/1.68 # Proof found! 9.71/1.68 # SZS status Theorem 9.71/1.68 # SZS output start CNFRefutation 9.71/1.68 thf(decl_22, type, extend1289208545_ereal: extended_ereal). 9.71/1.68 thf(decl_26, type, uminus1208298309_ereal: extended_ereal > extended_ereal). 9.71/1.68 thf(decl_28, type, lower_191460856_ereal: a > (a > extended_ereal) > $o). 9.71/1.68 thf(decl_29, type, ord_le2001149050_ereal: extended_ereal > extended_ereal > $o). 9.71/1.68 thf(decl_32, type, topolo1276428101open_a: set_a > $o). 9.71/1.68 thf(decl_33, type, member_a: a > set_a > $o). 9.71/1.68 thf(decl_34, type, f: a > extended_ereal). 9.71/1.68 thf(decl_35, type, x0: a). 9.71/1.68 thf(decl_36, type, esk1_0: extended_ereal). 9.71/1.68 thf(decl_37, type, esk2_1: set_a > a). 9.71/1.68 thf(decl_38, type, esk3_1: extended_ereal > set_a). 9.71/1.68 thf(decl_75, type, esk40_1: extended_ereal > set_a). 9.71/1.68 thf(decl_76, type, esk41_0: extended_ereal). 9.71/1.68 thf(decl_77, type, esk42_1: set_a > a). 9.71/1.68 thf(decl_78, type, esk43_1: extended_ereal > set_a). 9.71/1.68 thf(decl_79, type, esk44_0: extended_ereal). 9.71/1.68 thf(decl_80, type, esk45_1: set_a > a). 9.71/1.68 thf(decl_81, type, esk46_1: extended_ereal > set_a). 9.71/1.68 thf(decl_82, type, esk47_0: extended_ereal). 9.71/1.68 thf(decl_83, type, esk48_1: set_a > a). 9.71/1.68 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)<=>![X13:extended_ereal]:((?[X14:set_a]:((((member_a @ x0 @ X14)&![X9:a]:(((member_a @ X9 @ X14)=>(ord_le2001149050_ereal @ X13 @ (f @ X9)))))&(topolo1276428101open_a @ X14)))<=(ord_le2001149050_ereal @ X13 @ (f @ x0)))))<=((f @ x0)=(extend1289208545_ereal))), file('/export/starexec/sandbox2/tmp/tmp.w3fQ69Z86w/Vampire---4.8_26967', 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)). 9.71/1.68 thf(conj_0, conjecture, ((lower_191460856_ereal @ x0 @ f)<~>~(![X13:extended_ereal]:((?[X14:set_a]:((((topolo1276428101open_a @ X14)&![X9:a]:(((member_a @ X9 @ X14)=>(ord_le2001149050_ereal @ X13 @ (f @ X9)))))&(member_a @ x0 @ X14)))<=(ord_le2001149050_ereal @ X13 @ (f @ x0)))))), file('/export/starexec/sandbox2/tmp/tmp.w3fQ69Z86w/Vampire---4.8_26967', conj_0)). 9.71/1.68 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)<=>![X13:extended_ereal]:((?[X14:set_a]:((((topolo1276428101open_a @ X14)&![X9:a]:(((member_a @ X9 @ X14)=>(ord_le2001149050_ereal @ X13 @ (f @ X9)))))&(member_a @ x0 @ X14)))<=(ord_le2001149050_ereal @ X13 @ (f @ x0)))))), file('/export/starexec/sandbox2/tmp/tmp.w3fQ69Z86w/Vampire---4.8_26967', 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)). 9.71/1.68 thf(fact_3_lsc__at__MInfty, axiom, ![X21:a > extended_ereal, X22:a]:((((X21 @ X22)=(uminus1208298309_ereal @ extend1289208545_ereal))=>(lower_191460856_ereal @ X22 @ X21))), file('/export/starexec/sandbox2/tmp/tmp.w3fQ69Z86w/Vampire---4.8_26967', fact_3_lsc__at__MInfty)). 9.71/1.68 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, ((((lower_191460856_ereal @ x0 @ f)<=>![X13:extended_ereal]:((?[X14:set_a]:(((![X9:a]:(((member_a @ X9 @ X14)=>(ord_le2001149050_ereal @ X13 @ (f @ X9))))&(member_a @ x0 @ X14))&(topolo1276428101open_a @ X14)))<=(ord_le2001149050_ereal @ X13 @ (f @ x0)))))<=((f @ x0)!=(extend1289208545_ereal)))<=((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))), file('/export/starexec/sandbox2/tmp/tmp.w3fQ69Z86w/Vampire---4.8_26967', 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)). 9.71/1.68 thf(c_0_5, plain, (((f @ x0)=(extend1289208545_ereal))=>((lower_191460856_ereal @ x0 @ f)<=>![X13:extended_ereal]:(((ord_le2001149050_ereal @ X13 @ (f @ x0))=>?[X14:set_a]:((((member_a @ x0 @ X14)&![X9:a]:(((member_a @ X9 @ X14)=>(ord_le2001149050_ereal @ X13 @ (f @ X9)))))&(topolo1276428101open_a @ X14))))))), 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])). 9.71/1.68 thf(c_0_6, negated_conjecture, ~(~(((lower_191460856_ereal @ x0 @ f)<=>~(![X13:extended_ereal]:(((ord_le2001149050_ereal @ X13 @ (f @ x0))=>?[X14:set_a]:((((topolo1276428101open_a @ X14)&![X9:a]:(((member_a @ X9 @ X14)=>(ord_le2001149050_ereal @ X13 @ (f @ X9)))))&(member_a @ x0 @ X14))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 9.71/1.68 thf(c_0_7, plain, ![X449:extended_ereal, X451:a, X453:set_a]:((((((member_a @ x0 @ (esk40_1 @ X449))|~(ord_le2001149050_ereal @ X449 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal)))&(~(member_a @ X451 @ (esk40_1 @ X449))|(ord_le2001149050_ereal @ X449 @ (f @ X451))|~(ord_le2001149050_ereal @ X449 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal))))&((topolo1276428101open_a @ (esk40_1 @ X449))|~(ord_le2001149050_ereal @ X449 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal))))&(((ord_le2001149050_ereal @ esk41_0 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal)))&(((member_a @ (esk42_1 @ X453) @ X453)|~(member_a @ x0 @ X453)|~(topolo1276428101open_a @ X453)|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal)))&(~(ord_le2001149050_ereal @ esk41_0 @ (f @ (esk42_1 @ X453)))|~(member_a @ x0 @ X453)|~(topolo1276428101open_a @ X453)|(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_5])])])])])). 9.71/1.68 thf(c_0_8, negated_conjecture, ![X287:set_a, X289:extended_ereal, X291:a]:(((((ord_le2001149050_ereal @ esk1_0 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f))&(((member_a @ (esk2_1 @ X287) @ X287)|~(topolo1276428101open_a @ X287)|~(member_a @ x0 @ X287)|~(lower_191460856_ereal @ x0 @ f))&(~(ord_le2001149050_ereal @ esk1_0 @ (f @ (esk2_1 @ X287)))|~(topolo1276428101open_a @ X287)|~(member_a @ x0 @ X287)|~(lower_191460856_ereal @ x0 @ f))))&((((topolo1276428101open_a @ (esk3_1 @ X289))|~(ord_le2001149050_ereal @ X289 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f))&(~(member_a @ X291 @ (esk3_1 @ X289))|(ord_le2001149050_ereal @ X289 @ (f @ X291))|~(ord_le2001149050_ereal @ X289 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)))&((member_a @ x0 @ (esk3_1 @ X289))|~(ord_le2001149050_ereal @ X289 @ (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_6])])])])])). 9.71/1.68 thf(c_0_9, plain, (((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))=>((lower_191460856_ereal @ x0 @ f)<=>![X13:extended_ereal]:(((ord_le2001149050_ereal @ X13 @ (f @ x0))=>?[X14:set_a]:((((topolo1276428101open_a @ X14)&![X9:a]:(((member_a @ X9 @ X14)=>(ord_le2001149050_ereal @ X13 @ (f @ X9)))))&(member_a @ x0 @ X14))))))), inference(fof_simplification,[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])). 9.71/1.68 thf(c_0_10, plain, ![X1:a, X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ X1))|~((member_a @ X1 @ (esk40_1 @ X4)))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 9.71/1.68 thf(c_0_11, negated_conjecture, ![X3:set_a]:(((member_a @ (esk2_1 @ X3) @ X3)|~((topolo1276428101open_a @ X3))|~((member_a @ x0 @ X3))|~((lower_191460856_ereal @ x0 @ f)))), inference(split_conjunct,[status(thm)],[c_0_8])). 9.71/1.68 thf(c_0_12, plain, ![X4:extended_ereal]:(((topolo1276428101open_a @ (esk40_1 @ X4))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 9.71/1.68 thf(c_0_13, plain, ![X4:extended_ereal]:(((member_a @ x0 @ (esk40_1 @ X4))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 9.71/1.68 thf(c_0_14, plain, ![X455:extended_ereal, X457:a, X459:set_a]:((((((topolo1276428101open_a @ (esk43_1 @ X455))|~(ord_le2001149050_ereal @ X455 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))&(~(member_a @ X457 @ (esk43_1 @ X455))|(ord_le2001149050_ereal @ X455 @ (f @ X457))|~(ord_le2001149050_ereal @ X455 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))))&((member_a @ x0 @ (esk43_1 @ X455))|~(ord_le2001149050_ereal @ X455 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))))&(((ord_le2001149050_ereal @ esk44_0 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))&(((member_a @ (esk45_1 @ X459) @ X459)|~(topolo1276428101open_a @ X459)|~(member_a @ x0 @ X459)|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))&(~(ord_le2001149050_ereal @ esk44_0 @ (f @ (esk45_1 @ X459)))|~(topolo1276428101open_a @ X459)|~(member_a @ x0 @ X459)|(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)],[c_0_9])])])])])). 9.71/1.68 thf(c_0_15, plain, ![X485:a > extended_ereal, X486:a]:((((X485 @ X486)!=(uminus1208298309_ereal @ extend1289208545_ereal))|(lower_191460856_ereal @ X486 @ X485))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_lsc__at__MInfty])])). 9.71/1.68 thf(c_0_16, negated_conjecture, ![X3:set_a]:((~((ord_le2001149050_ereal @ esk1_0 @ (f @ (esk2_1 @ X3))))|~((topolo1276428101open_a @ X3))|~((member_a @ x0 @ X3))|~((lower_191460856_ereal @ x0 @ f)))), inference(split_conjunct,[status(thm)],[c_0_8])). 9.71/1.68 thf(c_0_17, negated_conjecture, ![X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ (esk2_1 @ (esk40_1 @ X4))))|((f @ x0)!=(extend1289208545_ereal))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12]), c_0_13])). 9.71/1.68 thf(c_0_18, negated_conjecture, ((ord_le2001149050_ereal @ esk1_0 @ (f @ x0))|~((lower_191460856_ereal @ x0 @ f))), inference(split_conjunct,[status(thm)],[c_0_8])). 9.71/1.68 thf(c_0_19, plain, ![X1:a, X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ X1))|~((member_a @ X1 @ (esk43_1 @ X4)))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f))|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_14])). 9.71/1.68 thf(c_0_20, plain, ![X21:a > extended_ereal, X1:a]:(((lower_191460856_ereal @ X1 @ X21)|((X21 @ X1)!=(uminus1208298309_ereal @ extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_15])). 9.71/1.68 thf(c_0_21, plain, ![X4:extended_ereal]:(((member_a @ x0 @ (esk43_1 @ X4))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f))|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_14])). 9.71/1.68 thf(c_0_22, negated_conjecture, (((f @ x0)!=(extend1289208545_ereal))|~((member_a @ x0 @ (esk40_1 @ esk1_0)))|~((lower_191460856_ereal @ x0 @ f))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_12]), c_0_18])). 9.71/1.68 thf(c_0_23, plain, ![X1:a, X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ X1))|((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((member_a @ X1 @ (esk43_1 @ X4))))), inference(csr,[status(thm)],[c_0_19, c_0_20])). 9.71/1.68 thf(c_0_24, plain, ![X4:extended_ereal]:(((topolo1276428101open_a @ (esk43_1 @ X4))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f))|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_14])). 9.71/1.68 thf(c_0_25, plain, ![X4:extended_ereal]:(((member_a @ x0 @ (esk43_1 @ X4))|((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))|~((ord_le2001149050_ereal @ X4 @ (f @ x0))))), inference(csr,[status(thm)],[c_0_21, c_0_20])). 9.71/1.68 thf(c_0_26, negated_conjecture, ![X1:a, X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ X1))|(lower_191460856_ereal @ x0 @ f)|~((member_a @ X1 @ (esk3_1 @ X4)))|~((ord_le2001149050_ereal @ X4 @ (f @ x0))))), inference(split_conjunct,[status(thm)],[c_0_8])). 9.71/1.68 thf(c_0_27, plain, ![X3:set_a]:(((member_a @ (esk42_1 @ X3) @ X3)|(lower_191460856_ereal @ x0 @ f)|~((member_a @ x0 @ X3))|~((topolo1276428101open_a @ X3))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 9.71/1.68 thf(c_0_28, negated_conjecture, ![X4:extended_ereal]:(((topolo1276428101open_a @ (esk3_1 @ X4))|(lower_191460856_ereal @ x0 @ f)|~((ord_le2001149050_ereal @ X4 @ (f @ x0))))), inference(split_conjunct,[status(thm)],[c_0_8])). 9.71/1.68 thf(c_0_29, negated_conjecture, ![X4:extended_ereal]:(((member_a @ x0 @ (esk3_1 @ X4))|(lower_191460856_ereal @ x0 @ f)|~((ord_le2001149050_ereal @ X4 @ (f @ x0))))), inference(split_conjunct,[status(thm)],[c_0_8])). 9.71/1.68 thf(c_0_30, negated_conjecture, (((f @ x0)!=(extend1289208545_ereal))|~((lower_191460856_ereal @ x0 @ f))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_13]), c_0_18])). 9.71/1.68 thf(c_0_31, plain, (((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))=>(((f @ x0)!=(extend1289208545_ereal))=>((lower_191460856_ereal @ x0 @ f)<=>![X13:extended_ereal]:(((ord_le2001149050_ereal @ X13 @ (f @ x0))=>?[X14:set_a]:(((![X9:a]:(((member_a @ X9 @ X14)=>(ord_le2001149050_ereal @ X13 @ (f @ X9))))&(member_a @ x0 @ X14))&(topolo1276428101open_a @ X14)))))))), 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])). 9.71/1.68 thf(c_0_32, negated_conjecture, ![X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ (esk2_1 @ (esk43_1 @ X4))))|((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))|~((ord_le2001149050_ereal @ X4 @ (f @ x0))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_11]), c_0_24]), c_0_20]), c_0_25])). 9.71/1.68 thf(c_0_33, plain, ![X3:set_a]:(((lower_191460856_ereal @ x0 @ f)|~((ord_le2001149050_ereal @ esk41_0 @ (f @ (esk42_1 @ X3))))|~((member_a @ x0 @ X3))|~((topolo1276428101open_a @ X3))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 9.71/1.68 thf(c_0_34, negated_conjecture, ![X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ (esk42_1 @ (esk3_1 @ X4))))|((f @ x0)!=(extend1289208545_ereal))|~((ord_le2001149050_ereal @ X4 @ (f @ x0))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28]), c_0_29]), c_0_30])). 9.71/1.68 thf(c_0_35, plain, ((ord_le2001149050_ereal @ esk41_0 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal))), inference(split_conjunct,[status(thm)],[c_0_7])). 9.71/1.68 thf(c_0_36, plain, ![X461:extended_ereal, X463:a, X465:set_a]:(((((~(member_a @ X463 @ (esk46_1 @ X461))|(ord_le2001149050_ereal @ X461 @ (f @ X463))|~(ord_le2001149050_ereal @ X461 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)))&((member_a @ x0 @ (esk46_1 @ X461))|~(ord_le2001149050_ereal @ X461 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))))&((topolo1276428101open_a @ (esk46_1 @ X461))|~(ord_le2001149050_ereal @ X461 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))))&(((ord_le2001149050_ereal @ esk47_0 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)))&(((member_a @ (esk48_1 @ X465) @ X465)|~(member_a @ x0 @ X465)|~(topolo1276428101open_a @ X465)|(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)))&(~(ord_le2001149050_ereal @ esk47_0 @ (f @ (esk48_1 @ X465)))|~(member_a @ x0 @ X465)|~(topolo1276428101open_a @ X465)|(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_31])])])])])). 9.71/1.68 thf(c_0_37, negated_conjecture, (((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))|~((ord_le2001149050_ereal @ esk1_0 @ (f @ x0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_32]), c_0_24]), c_0_20]), c_0_25])). 9.71/1.68 thf(c_0_38, negated_conjecture, (((f @ x0)!=(extend1289208545_ereal))|~((member_a @ x0 @ (esk3_1 @ esk41_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_28]), c_0_35]), c_0_30])). 9.71/1.68 thf(c_0_39, plain, ![X1:a, X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ X1))|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))|~((member_a @ X1 @ (esk46_1 @ X4)))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f)))), inference(split_conjunct,[status(thm)],[c_0_36])). 9.71/1.68 thf(c_0_40, negated_conjecture, ((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_18]), c_0_20])). 9.71/1.68 thf(c_0_41, negated_conjecture, ((f @ x0)!=(extend1289208545_ereal)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_29]), c_0_35]), c_0_30])). 9.71/1.68 thf(c_0_42, negated_conjecture, ![X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ (esk2_1 @ (esk46_1 @ X4))))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((member_a @ x0 @ (esk46_1 @ X4)))|~((lower_191460856_ereal @ x0 @ f))|~((topolo1276428101open_a @ (esk46_1 @ X4))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_11]), c_0_40]), c_0_41])). 9.71/1.68 thf(c_0_43, negated_conjecture, (~((member_a @ x0 @ (esk46_1 @ esk1_0)))|~((lower_191460856_ereal @ x0 @ f))|~((topolo1276428101open_a @ (esk46_1 @ esk1_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_42]), c_0_18])). 9.71/1.68 thf(c_0_44, plain, ![X4:extended_ereal]:(((topolo1276428101open_a @ (esk46_1 @ X4))|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f)))), inference(split_conjunct,[status(thm)],[c_0_36])). 9.71/1.68 thf(c_0_45, plain, ![X3:set_a]:(((member_a @ (esk48_1 @ X3) @ X3)|(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))|~((member_a @ x0 @ X3))|~((topolo1276428101open_a @ X3)))), inference(split_conjunct,[status(thm)],[c_0_36])). 9.71/1.68 thf(c_0_46, negated_conjecture, (~((member_a @ x0 @ (esk46_1 @ esk1_0)))|~((lower_191460856_ereal @ x0 @ f))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_40]), c_0_41]), c_0_18])). 9.71/1.68 thf(c_0_47, plain, ![X4:extended_ereal]:(((member_a @ x0 @ (esk46_1 @ X4))|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f)))), inference(split_conjunct,[status(thm)],[c_0_36])). 9.71/1.68 thf(c_0_48, plain, ((ord_le2001149050_ereal @ esk47_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_36])). 9.71/1.68 thf(c_0_49, plain, ![X3:set_a]:(((lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))|~((ord_le2001149050_ereal @ esk47_0 @ (f @ (esk48_1 @ X3))))|~((member_a @ x0 @ X3))|~((topolo1276428101open_a @ X3)))), inference(split_conjunct,[status(thm)],[c_0_36])). 9.71/1.68 thf(c_0_50, plain, ![X3:set_a]:((((f @ x0)=(extend1289208545_ereal))|(member_a @ (esk48_1 @ X3) @ X3)|(lower_191460856_ereal @ x0 @ f)|~((member_a @ x0 @ X3))|~((topolo1276428101open_a @ X3)))), inference(csr,[status(thm)],[c_0_45, c_0_20])). 9.71/1.68 thf(c_0_51, negated_conjecture, ~((lower_191460856_ereal @ x0 @ f)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_40]), c_0_41]), c_0_18])). 9.71/1.68 thf(c_0_52, plain, ((ord_le2001149050_ereal @ esk47_0 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_48, c_0_41]), c_0_20])). 9.71/1.68 thf(c_0_53, plain, ![X3:set_a]:((((f @ x0)=(extend1289208545_ereal))|(lower_191460856_ereal @ x0 @ f)|~((ord_le2001149050_ereal @ esk47_0 @ (f @ (esk48_1 @ X3))))|~((member_a @ x0 @ X3))|~((topolo1276428101open_a @ X3)))), inference(csr,[status(thm)],[c_0_49, c_0_20])). 9.71/1.68 thf(c_0_54, negated_conjecture, ![X4:extended_ereal]:(((ord_le2001149050_ereal @ X4 @ (f @ (esk48_1 @ (esk3_1 @ X4))))|~((ord_le2001149050_ereal @ X4 @ (f @ x0)))|~((member_a @ x0 @ (esk3_1 @ X4)))|~((topolo1276428101open_a @ (esk3_1 @ X4))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_50]), c_0_51]), c_0_41])). 9.71/1.68 thf(c_0_55, plain, (ord_le2001149050_ereal @ esk47_0 @ (f @ x0)), inference(sr,[status(thm)],[c_0_52, c_0_51])). 9.71/1.68 thf(c_0_56, negated_conjecture, (~((member_a @ x0 @ (esk3_1 @ esk47_0)))|~((topolo1276428101open_a @ (esk3_1 @ esk47_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55])]), c_0_41]), c_0_51])). 9.71/1.68 thf(c_0_57, negated_conjecture, ~((member_a @ x0 @ (esk3_1 @ esk47_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_28]), c_0_55])]), c_0_51])). 9.71/1.68 thf(c_0_58, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_29]), c_0_55])]), c_0_51]), ['proof']). 9.71/1.68 # SZS output end CNFRefutation 9.71/1.68 # Parsed axioms : 138 9.71/1.68 # Removed by relevancy pruning/SinE : 65 9.71/1.68 # Initial clauses : 264 9.71/1.68 # Removed in clause preprocessing : 7 9.71/1.68 # Initial clauses in saturation : 257 9.71/1.68 # Processed clauses : 2739 9.71/1.68 # ...of these trivial : 14 9.71/1.68 # ...subsumed : 1618 9.71/1.68 # ...remaining for further processing : 1107 9.71/1.68 # Other redundant clauses eliminated : 94 9.71/1.68 # Clauses deleted for lack of memory : 0 9.71/1.68 # Backward-subsumed : 213 9.71/1.68 # Backward-rewritten : 7 9.71/1.68 # Generated clauses : 16837 9.71/1.68 # ...of the previous two non-redundant : 15107 9.71/1.68 # ...aggressively subsumed : 0 9.71/1.68 # Contextual simplify-reflections : 56 9.71/1.68 # Paramodulations : 16395 9.71/1.68 # Factorizations : 8 9.71/1.68 # NegExts : 106 9.71/1.68 # Equation resolutions : 115 9.71/1.68 # Total rewrite steps : 4705 9.71/1.68 # Propositional unsat checks : 0 9.71/1.68 # Propositional check models : 0 9.71/1.68 # Propositional check unsatisfiable : 0 9.71/1.68 # Propositional clauses : 0 9.71/1.68 # Propositional clauses after purity: 0 9.71/1.68 # Propositional unsat core size : 0 9.71/1.68 # Propositional preprocessing time : 0.000 9.71/1.68 # Propositional encoding time : 0.000 9.71/1.68 # Propositional solver time : 0.000 9.71/1.68 # Success case prop preproc time : 0.000 9.71/1.68 # Success case prop encoding time : 0.000 9.71/1.68 # Success case prop solver time : 0.000 9.71/1.68 # Current number of processed clauses : 642 9.71/1.68 # Positive orientable unit clauses : 33 9.71/1.68 # Positive unorientable unit clauses: 0 9.71/1.68 # Negative unit clauses : 23 9.71/1.68 # Non-unit-clauses : 586 9.71/1.68 # Current number of unprocessed clauses: 12682 9.71/1.68 # ...number of literals in the above : 68570 9.71/1.68 # Current number of archived formulas : 0 9.71/1.68 # Current number of archived clauses : 445 9.71/1.68 # Clause-clause subsumption calls (NU) : 106547 9.71/1.68 # Rec. Clause-clause subsumption calls : 39684 9.71/1.68 # Non-unit clause-clause subsumptions : 1153 9.71/1.68 # Unit Clause-clause subsumption calls : 3392 9.71/1.68 # Rewrite failures with RHS unbound : 0 9.71/1.68 # BW rewrite match attempts : 68 9.71/1.68 # BW rewrite match successes : 9 9.71/1.68 # Condensation attempts : 0 9.71/1.68 # Condensation successes : 0 9.71/1.68 # Termbank termtop insertions : 2748441 9.71/1.68 9.71/1.68 # ------------------------------------------------- 9.71/1.68 # User time : 1.237 s 9.71/1.68 # System time : 0.022 s 9.71/1.68 # Total time : 1.259 s 9.71/1.68 # Maximum resident set size: 2884 pages 10.15/1.70 10.15/1.70 # ------------------------------------------------- 10.15/1.70 # User time : 2.473 s 10.15/1.70 # System time : 0.039 s 10.15/1.70 # Total time : 2.512 s 10.15/1.70 # Maximum resident set size: 1932 pages 10.15/1.70 % E---3.1 exiting 10.15/1.71 EOF