0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.31 % Computer : n013.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 1920 0.11/0.31 % WCLimit : 240 0.11/0.31 % DateTime : Wed Jul 30 04:50:34 EDT 2025 0.11/0.32 % CPUTime : 0.18/0.45 Running higher-order theorem proving 0.18/0.47 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=240 /export/starexec/sandbox2/tmp/tmp.NnYCiKQokI/E---3.1_3232.p 6.16/1.27 # Version: 3.0.0-ho 6.16/1.27 # Preprocessing class: HSLSSMSSSSSNSSA. 6.16/1.27 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 6.16/1.27 # Starting post_as_ho12 with 960s (4) cores 6.16/1.27 # Starting post_as_ho5 with 480s (2) cores 6.16/1.27 # Starting post_as_ho4 with 240s (1) cores 6.16/1.27 # Starting new_ho_8 with 240s (1) cores 6.16/1.27 # post_as_ho5 with pid 3311 completed with status 0 6.16/1.27 # Result found by post_as_ho5 6.16/1.27 # Preprocessing class: HSLSSMSSSSSNSSA. 6.16/1.27 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 6.16/1.27 # Starting post_as_ho12 with 960s (4) cores 6.16/1.27 # Starting post_as_ho5 with 480s (2) cores 6.16/1.27 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 6.16/1.27 # Search class: HGHSS-FSLS32-SSSFFMBN 6.16/1.27 # partial match(3): HGHSM-FSLS32-MSSFFSBN 6.16/1.27 # Scheduled 6 strats onto 2 cores with 480 seconds (480 total) 6.16/1.27 # Starting new_ho_10 with 216s (1) cores 6.16/1.27 # Starting post_as_ho5 with 49s (1) cores 6.16/1.27 # new_ho_10 with pid 3318 completed with status 0 6.16/1.27 # Result found by new_ho_10 6.16/1.27 # Preprocessing class: HSLSSMSSSSSNSSA. 6.16/1.27 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 6.16/1.27 # Starting post_as_ho12 with 960s (4) cores 6.16/1.27 # Starting post_as_ho5 with 480s (2) cores 6.16/1.27 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 6.16/1.27 # Search class: HGHSS-FSLS32-SSSFFMBN 6.16/1.27 # partial match(3): HGHSM-FSLS32-MSSFFSBN 6.16/1.27 # Scheduled 6 strats onto 2 cores with 480 seconds (480 total) 6.16/1.27 # Starting new_ho_10 with 216s (1) cores 6.16/1.27 # Preprocessing time : 0.006 s 6.16/1.27 # Presaturation interreduction done 6.16/1.27 6.16/1.27 # Proof found! 6.16/1.27 # SZS status Theorem 6.16/1.27 # SZS output start CNFRefutation 6.16/1.27 thf(decl_sort1, type, extended_ereal: $tType). 6.16/1.27 thf(decl_sort2, type, a: $tType). 6.16/1.27 thf(decl_sort3, type, set_a: $tType). 6.16/1.27 thf(decl_23, type, extend1289208545_ereal: extended_ereal). 6.16/1.27 thf(decl_27, type, uminus1208298309_ereal: extended_ereal > extended_ereal). 6.16/1.27 thf(decl_29, type, lower_191460856_ereal: a > (a > extended_ereal) > $o). 6.16/1.27 thf(decl_30, type, ord_le2001149050_ereal: extended_ereal > extended_ereal > $o). 6.16/1.27 thf(decl_33, type, topolo1276428101open_a: set_a > $o). 6.16/1.27 thf(decl_34, type, member_a: a > set_a > $o). 6.16/1.27 thf(decl_35, type, f: a > extended_ereal). 6.16/1.27 thf(decl_36, type, x0: a). 6.16/1.27 thf(decl_37, type, esk1_0: extended_ereal). 6.16/1.27 thf(decl_38, type, esk2_1: set_a > a). 6.16/1.27 thf(decl_39, type, esk3_1: extended_ereal > set_a). 6.16/1.27 thf(decl_76, type, esk40_1: extended_ereal > set_a). 6.16/1.27 thf(decl_77, type, esk41_0: extended_ereal). 6.16/1.27 thf(decl_78, type, esk42_1: set_a > a). 6.16/1.27 thf(decl_79, type, esk43_1: extended_ereal > set_a). 6.16/1.27 thf(decl_80, type, esk44_0: extended_ereal). 6.16/1.27 thf(decl_81, type, esk45_1: set_a > a). 6.16/1.27 thf(decl_82, type, esk46_1: extended_ereal > set_a). 6.16/1.27 thf(decl_83, type, esk47_0: extended_ereal). 6.16/1.27 thf(decl_84, type, esk48_1: set_a > a). 6.16/1.27 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, (((f @ x0)=(extend1289208545_ereal))=>((lower_191460856_ereal @ x0 @ f)<=>![X16:extended_ereal]:((?[X17:set_a]:((((topolo1276428101open_a @ X17)&(member_a @ x0 @ X17))&![X18:a]:(((member_a @ X18 @ X17)=>(ord_le2001149050_ereal @ X16 @ (f @ X18))))))<=(ord_le2001149050_ereal @ X16 @ (f @ x0)))))), file('/export/starexec/sandbox2/tmp/tmp.NnYCiKQokI/E---3.1_3232.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)). 6.16/1.27 thf(conj_0, conjecture, ((lower_191460856_ereal @ x0 @ f)<~>~(![X16:extended_ereal]:(((ord_le2001149050_ereal @ X16 @ (f @ x0))=>?[X17:set_a]:((((topolo1276428101open_a @ X17)&(member_a @ x0 @ X17))&![X18:a]:(((ord_le2001149050_ereal @ X16 @ (f @ X18))<=(member_a @ X18 @ X17))))))))), file('/export/starexec/sandbox2/tmp/tmp.NnYCiKQokI/E---3.1_3232.p', conj_0)). 6.16/1.27 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)<=>![X16:extended_ereal]:(((ord_le2001149050_ereal @ X16 @ (f @ x0))=>?[X17:set_a]:((((topolo1276428101open_a @ X17)&![X18:a]:(((member_a @ X18 @ X17)=>(ord_le2001149050_ereal @ X16 @ (f @ X18)))))&(member_a @ x0 @ X17)))))))), file('/export/starexec/sandbox2/tmp/tmp.NnYCiKQokI/E---3.1_3232.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)). 6.16/1.27 thf(fact_3_lsc__at__MInfty, axiom, ![X22:a > extended_ereal, X23:a]:((((X22 @ X23)=(uminus1208298309_ereal @ extend1289208545_ereal))=>(lower_191460856_ereal @ X23 @ X22))), file('/export/starexec/sandbox2/tmp/tmp.NnYCiKQokI/E---3.1_3232.p', fact_3_lsc__at__MInfty)). 6.16/1.27 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)<=>![X16:extended_ereal]:((?[X17:set_a]:(((![X18:a]:(((member_a @ X18 @ X17)=>(ord_le2001149050_ereal @ X16 @ (f @ X18))))&(member_a @ x0 @ X17))&(topolo1276428101open_a @ X17)))<=(ord_le2001149050_ereal @ X16 @ (f @ x0)))))), file('/export/starexec/sandbox2/tmp/tmp.NnYCiKQokI/E---3.1_3232.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)). 6.16/1.27 thf(c_0_5, plain, (((f @ x0)=(extend1289208545_ereal))=>((lower_191460856_ereal @ x0 @ f)<=>![X16:extended_ereal]:(((ord_le2001149050_ereal @ X16 @ (f @ x0))=>?[X17:set_a]:((((topolo1276428101open_a @ X17)&(member_a @ x0 @ X17))&![X18:a]:(((member_a @ X18 @ X17)=>(ord_le2001149050_ereal @ X16 @ (f @ X18)))))))))), 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])). 6.16/1.27 thf(c_0_6, negated_conjecture, ~(~(((lower_191460856_ereal @ x0 @ f)<=>~(![X16:extended_ereal]:(((ord_le2001149050_ereal @ X16 @ (f @ x0))=>?[X17:set_a]:((((topolo1276428101open_a @ X17)&(member_a @ x0 @ X17))&![X18:a]:(((member_a @ X18 @ X17)=>(ord_le2001149050_ereal @ X16 @ (f @ X18)))))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 6.16/1.27 thf(c_0_7, plain, ![X412:extended_ereal, X414:a, X416:set_a]:((((((topolo1276428101open_a @ (esk40_1 @ X412))|~(ord_le2001149050_ereal @ X412 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal)))&((member_a @ x0 @ (esk40_1 @ X412))|~(ord_le2001149050_ereal @ X412 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal))))&(~(member_a @ X414 @ (esk40_1 @ X412))|(ord_le2001149050_ereal @ X412 @ (f @ X414))|~(ord_le2001149050_ereal @ X412 @ (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 @ X416) @ X416)|(~(topolo1276428101open_a @ X416)|~(member_a @ x0 @ X416))|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal)))&(~(ord_le2001149050_ereal @ esk41_0 @ (f @ (esk42_1 @ X416)))|(~(topolo1276428101open_a @ X416)|~(member_a @ x0 @ X416))|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])])). 6.16/1.27 thf(c_0_8, negated_conjecture, ![X250:set_a, X252:extended_ereal, X254:a]:(((((ord_le2001149050_ereal @ esk1_0 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f))&(((member_a @ (esk2_1 @ X250) @ X250)|(~(topolo1276428101open_a @ X250)|~(member_a @ x0 @ X250))|~(lower_191460856_ereal @ x0 @ f))&(~(ord_le2001149050_ereal @ esk1_0 @ (f @ (esk2_1 @ X250)))|(~(topolo1276428101open_a @ X250)|~(member_a @ x0 @ X250))|~(lower_191460856_ereal @ x0 @ f))))&((((topolo1276428101open_a @ (esk3_1 @ X252))|~(ord_le2001149050_ereal @ X252 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f))&((member_a @ x0 @ (esk3_1 @ X252))|~(ord_le2001149050_ereal @ X252 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)))&(~(member_a @ X254 @ (esk3_1 @ X252))|(ord_le2001149050_ereal @ X252 @ (f @ X254))|~(ord_le2001149050_ereal @ X252 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])). 6.16/1.27 thf(c_0_9, plain, ![X18:a, X1:extended_ereal]:(((ord_le2001149050_ereal @ X1 @ (f @ X18))|~((member_a @ X18 @ (esk40_1 @ X1)))|~((ord_le2001149050_ereal @ X1 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 6.16/1.27 thf(c_0_10, negated_conjecture, ![X17:set_a]:(((member_a @ (esk2_1 @ X17) @ X17)|~((topolo1276428101open_a @ X17))|~((member_a @ x0 @ X17))|~((lower_191460856_ereal @ x0 @ f)))), inference(split_conjunct,[status(thm)],[c_0_8])). 6.16/1.27 thf(c_0_11, plain, ![X1:extended_ereal]:(((topolo1276428101open_a @ (esk40_1 @ X1))|~((ord_le2001149050_ereal @ X1 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 6.16/1.27 thf(c_0_12, plain, ![X1:extended_ereal]:(((member_a @ x0 @ (esk40_1 @ X1))|~((ord_le2001149050_ereal @ X1 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 6.16/1.27 thf(c_0_13, negated_conjecture, ![X17:set_a]:((~((ord_le2001149050_ereal @ esk1_0 @ (f @ (esk2_1 @ X17))))|~((topolo1276428101open_a @ X17))|~((member_a @ x0 @ X17))|~((lower_191460856_ereal @ x0 @ f)))), inference(split_conjunct,[status(thm)],[c_0_8])). 6.16/1.27 thf(c_0_14, negated_conjecture, ![X1:extended_ereal]:(((ord_le2001149050_ereal @ X1 @ (f @ (esk2_1 @ (esk40_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_9, c_0_10]), c_0_11]), c_0_12])). 6.16/1.27 thf(c_0_15, negated_conjecture, ((ord_le2001149050_ereal @ esk1_0 @ (f @ x0))|~((lower_191460856_ereal @ x0 @ f))), inference(split_conjunct,[status(thm)],[c_0_8])). 6.16/1.27 thf(c_0_16, 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_13, c_0_14]), c_0_11]), c_0_15])). 6.16/1.27 thf(c_0_17, plain, (((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))=>(((f @ x0)!=(extend1289208545_ereal))=>((lower_191460856_ereal @ x0 @ f)<=>![X16:extended_ereal]:(((ord_le2001149050_ereal @ X16 @ (f @ x0))=>?[X17:set_a]:((((topolo1276428101open_a @ X17)&![X18:a]:(((member_a @ X18 @ X17)=>(ord_le2001149050_ereal @ X16 @ (f @ X18)))))&(member_a @ x0 @ X17)))))))), 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])). 6.16/1.27 thf(c_0_18, negated_conjecture, ![X18:a, X1:extended_ereal]:(((ord_le2001149050_ereal @ X1 @ (f @ X18))|(lower_191460856_ereal @ x0 @ f)|~((member_a @ X18 @ (esk3_1 @ X1)))|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(split_conjunct,[status(thm)],[c_0_8])). 6.16/1.27 thf(c_0_19, plain, ![X17:set_a]:(((member_a @ (esk42_1 @ X17) @ X17)|(lower_191460856_ereal @ x0 @ f)|~((topolo1276428101open_a @ X17))|~((member_a @ x0 @ X17))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 6.16/1.27 thf(c_0_20, negated_conjecture, ![X1:extended_ereal]:(((topolo1276428101open_a @ (esk3_1 @ X1))|(lower_191460856_ereal @ x0 @ f)|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(split_conjunct,[status(thm)],[c_0_8])). 6.16/1.27 thf(c_0_21, negated_conjecture, ![X1:extended_ereal]:(((member_a @ x0 @ (esk3_1 @ X1))|(lower_191460856_ereal @ x0 @ f)|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(split_conjunct,[status(thm)],[c_0_8])). 6.16/1.27 thf(c_0_22, negated_conjecture, (((f @ x0)!=(extend1289208545_ereal))|~((lower_191460856_ereal @ x0 @ f))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_12]), c_0_15])). 6.16/1.27 thf(c_0_23, 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])). 6.16/1.27 thf(c_0_24, plain, ![X418:extended_ereal, X420:a, X422:set_a]:((((((topolo1276428101open_a @ (esk43_1 @ X418))|~(ord_le2001149050_ereal @ X418 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)))&(~(member_a @ X420 @ (esk43_1 @ X418))|(ord_le2001149050_ereal @ X418 @ (f @ X420))|~(ord_le2001149050_ereal @ X418 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))))&((member_a @ x0 @ (esk43_1 @ X418))|~(ord_le2001149050_ereal @ X418 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))))&(((ord_le2001149050_ereal @ esk44_0 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)))&(((member_a @ (esk45_1 @ X422) @ X422)|~(topolo1276428101open_a @ X422)|~(member_a @ x0 @ X422)|(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal)))&(~(ord_le2001149050_ereal @ esk44_0 @ (f @ (esk45_1 @ X422)))|~(topolo1276428101open_a @ X422)|~(member_a @ x0 @ X422)|(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])])). 6.16/1.27 thf(c_0_25, plain, ![X448:a > extended_ereal, X449:a]:((((X448 @ X449)!=(uminus1208298309_ereal @ extend1289208545_ereal))|(lower_191460856_ereal @ X449 @ X448))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_lsc__at__MInfty])])])). 6.16/1.27 thf(c_0_26, plain, ![X17:set_a]:(((lower_191460856_ereal @ x0 @ f)|~((ord_le2001149050_ereal @ esk41_0 @ (f @ (esk42_1 @ X17))))|~((topolo1276428101open_a @ X17))|~((member_a @ x0 @ X17))|((f @ x0)!=(extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_7])). 6.16/1.27 thf(c_0_27, negated_conjecture, ![X1:extended_ereal]:(((ord_le2001149050_ereal @ X1 @ (f @ (esk42_1 @ (esk3_1 @ X1))))|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(extend1289208545_ereal))|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21])). 6.16/1.27 thf(c_0_28, negated_conjecture, ((ord_le2001149050_ereal @ esk41_0 @ (f @ x0))|((f @ x0)!=(extend1289208545_ereal))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 6.16/1.27 thf(c_0_29, plain, (((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))=>((lower_191460856_ereal @ x0 @ f)<=>![X16:extended_ereal]:(((ord_le2001149050_ereal @ X16 @ (f @ x0))=>?[X17:set_a]:(((![X18:a]:(((member_a @ X18 @ X17)=>(ord_le2001149050_ereal @ X16 @ (f @ X18))))&(member_a @ x0 @ X17))&(topolo1276428101open_a @ X17))))))), 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])). 6.16/1.27 thf(c_0_30, plain, ![X17:set_a]:(((member_a @ (esk45_1 @ X17) @ X17)|(lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))|~((topolo1276428101open_a @ X17))|~((member_a @ x0 @ X17)))), inference(split_conjunct,[status(thm)],[c_0_24])). 6.16/1.27 thf(c_0_31, plain, ![X22:a > extended_ereal, X18:a]:(((lower_191460856_ereal @ X18 @ X22)|((X22 @ X18)!=(uminus1208298309_ereal @ extend1289208545_ereal)))), inference(split_conjunct,[status(thm)],[c_0_25])). 6.16/1.27 thf(c_0_32, 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_26, c_0_27]), c_0_20]), c_0_28]), c_0_22])). 6.16/1.27 thf(c_0_33, plain, ![X424:extended_ereal, X426:a, X428:set_a]:(((((~(member_a @ X426 @ (esk46_1 @ X424))|(ord_le2001149050_ereal @ X424 @ (f @ X426))|~(ord_le2001149050_ereal @ X424 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))&((member_a @ x0 @ (esk46_1 @ X424))|~(ord_le2001149050_ereal @ X424 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))))&((topolo1276428101open_a @ (esk46_1 @ X424))|~(ord_le2001149050_ereal @ X424 @ (f @ x0))|~(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))))&(((ord_le2001149050_ereal @ esk47_0 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))&(((member_a @ (esk48_1 @ X428) @ X428)|~(member_a @ x0 @ X428)|~(topolo1276428101open_a @ X428)|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal)))&(~(ord_le2001149050_ereal @ esk47_0 @ (f @ (esk48_1 @ X428)))|~(member_a @ x0 @ X428)|~(topolo1276428101open_a @ X428)|(lower_191460856_ereal @ x0 @ f)|((f @ x0)!=(uminus1208298309_ereal @ extend1289208545_ereal))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])])). 6.16/1.27 thf(c_0_34, plain, ![X17:set_a]:(((lower_191460856_ereal @ x0 @ f)|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))|~((ord_le2001149050_ereal @ esk44_0 @ (f @ (esk45_1 @ X17))))|~((topolo1276428101open_a @ X17))|~((member_a @ x0 @ X17)))), inference(split_conjunct,[status(thm)],[c_0_24])). 6.16/1.27 thf(c_0_35, plain, ![X17:set_a]:((((f @ x0)=(extend1289208545_ereal))|(member_a @ (esk45_1 @ X17) @ X17)|(lower_191460856_ereal @ x0 @ f)|~((member_a @ x0 @ X17))|~((topolo1276428101open_a @ X17)))), inference(csr,[status(thm)],[c_0_30, c_0_31])). 6.16/1.27 thf(c_0_36, plain, ((ord_le2001149050_ereal @ esk44_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_24])). 6.16/1.27 thf(c_0_37, negated_conjecture, ((f @ x0)!=(extend1289208545_ereal)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_21]), c_0_28]), c_0_22])). 6.16/1.27 thf(c_0_38, plain, ![X18:a, X1:extended_ereal]:(((ord_le2001149050_ereal @ X1 @ (f @ X18))|~((member_a @ X18 @ (esk46_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_33])). 6.16/1.27 thf(c_0_39, plain, ![X1:extended_ereal]:(((topolo1276428101open_a @ (esk46_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_33])). 6.16/1.27 thf(c_0_40, plain, ![X1:extended_ereal]:(((member_a @ x0 @ (esk46_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_33])). 6.16/1.27 thf(c_0_41, plain, ![X17:set_a]:((((f @ x0)=(extend1289208545_ereal))|(lower_191460856_ereal @ x0 @ f)|~((ord_le2001149050_ereal @ esk44_0 @ (f @ (esk45_1 @ X17))))|~((member_a @ x0 @ X17))|~((topolo1276428101open_a @ X17)))), inference(csr,[status(thm)],[c_0_34, c_0_31])). 6.16/1.27 thf(c_0_42, negated_conjecture, ![X1:extended_ereal]:((((f @ x0)=(extend1289208545_ereal))|(ord_le2001149050_ereal @ X1 @ (f @ (esk45_1 @ (esk3_1 @ X1))))|(lower_191460856_ereal @ x0 @ f)|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_35]), c_0_20]), c_0_21])). 6.16/1.27 thf(c_0_43, plain, ((ord_le2001149050_ereal @ esk44_0 @ (f @ x0))|(lower_191460856_ereal @ x0 @ f)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_36, c_0_37]), c_0_31])). 6.16/1.27 thf(c_0_44, plain, ![X18:a, X1:extended_ereal]:(((ord_le2001149050_ereal @ X1 @ (f @ X18))|((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))|~((ord_le2001149050_ereal @ X1 @ (f @ x0)))|~((member_a @ X18 @ (esk46_1 @ X1))))), inference(csr,[status(thm)],[c_0_38, c_0_31])). 6.16/1.27 thf(c_0_45, plain, ![X1:extended_ereal]:(((topolo1276428101open_a @ (esk46_1 @ X1))|((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(csr,[status(thm)],[c_0_39, c_0_31])). 6.16/1.27 thf(c_0_46, plain, ![X1:extended_ereal]:(((member_a @ x0 @ (esk46_1 @ X1))|((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(csr,[status(thm)],[c_0_40, c_0_31])). 6.16/1.27 thf(c_0_47, negated_conjecture, ((lower_191460856_ereal @ x0 @ f)|~((member_a @ x0 @ (esk3_1 @ esk44_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_37]), c_0_20]), c_0_43])). 6.16/1.27 thf(c_0_48, negated_conjecture, ![X1:extended_ereal]:(((ord_le2001149050_ereal @ X1 @ (f @ (esk2_1 @ (esk46_1 @ X1))))|((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_10]), c_0_45]), c_0_31]), c_0_46])). 6.16/1.27 thf(c_0_49, negated_conjecture, ((ord_le2001149050_ereal @ esk1_0 @ (f @ x0))|((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))), inference(spm,[status(thm)],[c_0_15, c_0_31])). 6.16/1.27 thf(c_0_50, negated_conjecture, (lower_191460856_ereal @ x0 @ f), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_21]), c_0_43])). 6.16/1.27 thf(c_0_51, plain, ![X18:a, X1:extended_ereal]:(((ord_le2001149050_ereal @ X1 @ (f @ X18))|((f @ x0)=(extend1289208545_ereal))|((f @ x0)=(uminus1208298309_ereal @ extend1289208545_ereal))|~((member_a @ X18 @ (esk43_1 @ X1)))|~((ord_le2001149050_ereal @ X1 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f)))), inference(split_conjunct,[status(thm)],[c_0_24])). 6.16/1.27 thf(c_0_52, plain, ![X1:extended_ereal]:(((topolo1276428101open_a @ (esk43_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_24])). 6.16/1.27 thf(c_0_53, plain, ![X1:extended_ereal]:(((member_a @ x0 @ (esk43_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_24])). 6.16/1.27 thf(c_0_54, negated_conjecture, (((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0))|~((member_a @ x0 @ (esk46_1 @ esk1_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_48]), c_0_45]), c_0_31]), c_0_49])). 6.16/1.27 thf(c_0_55, negated_conjecture, (ord_le2001149050_ereal @ esk1_0 @ (f @ x0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_50])])). 6.16/1.27 thf(c_0_56, negated_conjecture, ![X1:extended_ereal]:((((uminus1208298309_ereal @ extend1289208545_ereal)=(f @ x0))|(ord_le2001149050_ereal @ X1 @ (f @ (esk2_1 @ (esk43_1 @ X1))))|~((ord_le2001149050_ereal @ X1 @ (f @ x0)))|~((lower_191460856_ereal @ x0 @ f)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_10]), c_0_52]), c_0_53]), c_0_22])). 6.16/1.27 thf(c_0_57, negated_conjecture, ((uminus1208298309_ereal @ extend1289208545_ereal)!=(f @ x0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_46]), c_0_55])])). 6.16/1.27 thf(c_0_58, negated_conjecture, ![X17:set_a]:((~((ord_le2001149050_ereal @ esk1_0 @ (f @ (esk2_1 @ X17))))|~((member_a @ x0 @ X17))|~((topolo1276428101open_a @ X17)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_50])])). 6.16/1.27 thf(c_0_59, negated_conjecture, ![X1:extended_ereal]:(((ord_le2001149050_ereal @ X1 @ (f @ (esk2_1 @ (esk43_1 @ X1))))|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_50])]), c_0_57])). 6.16/1.27 thf(c_0_60, negated_conjecture, (~((member_a @ x0 @ (esk43_1 @ esk1_0)))|~((topolo1276428101open_a @ (esk43_1 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_55])])). 6.16/1.27 thf(c_0_61, plain, ![X1:extended_ereal]:((((uminus1208298309_ereal @ extend1289208545_ereal)=(f @ x0))|(member_a @ x0 @ (esk43_1 @ X1))|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_50])]), c_0_37])). 6.16/1.27 thf(c_0_62, negated_conjecture, ~((topolo1276428101open_a @ (esk43_1 @ esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_55])]), c_0_57])). 6.16/1.27 thf(c_0_63, plain, ![X1:extended_ereal]:((((uminus1208298309_ereal @ extend1289208545_ereal)=(f @ x0))|(topolo1276428101open_a @ (esk43_1 @ X1))|~((ord_le2001149050_ereal @ X1 @ (f @ x0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_50])]), c_0_37])). 6.16/1.27 thf(c_0_64, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_55])]), c_0_57]), ['proof']). 6.16/1.27 # SZS output end CNFRefutation 6.16/1.27 # Parsed axioms : 138 6.16/1.27 # Removed by relevancy pruning/SinE : 65 6.16/1.27 # Initial clauses : 264 6.16/1.27 # Removed in clause preprocessing : 7 6.16/1.27 # Initial clauses in saturation : 257 6.16/1.27 # Processed clauses : 2051 6.16/1.27 # ...of these trivial : 15 6.16/1.27 # ...subsumed : 746 6.16/1.27 # ...remaining for further processing : 1290 6.16/1.27 # Other redundant clauses eliminated : 24 6.16/1.27 # Clauses deleted for lack of memory : 0 6.16/1.27 # Backward-subsumed : 79 6.16/1.27 # Backward-rewritten : 26 6.16/1.27 # Generated clauses : 20215 6.16/1.27 # ...of the previous two non-redundant : 19596 6.16/1.27 # ...aggressively subsumed : 0 6.16/1.27 # Contextual simplify-reflections : 40 6.16/1.27 # Paramodulations : 20173 6.16/1.27 # Factorizations : 6 6.16/1.27 # NegExts : 0 6.16/1.27 # Equation resolutions : 25 6.16/1.27 # Disequality decompositions : 0 6.16/1.27 # Total rewrite steps : 2334 6.16/1.27 # ...of those cached : 2224 6.16/1.27 # Propositional unsat checks : 0 6.16/1.27 # Propositional check models : 0 6.16/1.27 # Propositional check unsatisfiable : 0 6.16/1.27 # Propositional clauses : 0 6.16/1.27 # Propositional clauses after purity: 0 6.16/1.27 # Propositional unsat core size : 0 6.16/1.27 # Propositional preprocessing time : 0.000 6.16/1.27 # Propositional encoding time : 0.000 6.16/1.27 # Propositional solver time : 0.000 6.16/1.27 # Success case prop preproc time : 0.000 6.16/1.27 # Success case prop encoding time : 0.000 6.16/1.27 # Success case prop solver time : 0.000 6.16/1.27 # Current number of processed clauses : 934 6.16/1.27 # Positive orientable unit clauses : 29 6.16/1.27 # Positive unorientable unit clauses: 0 6.16/1.27 # Negative unit clauses : 41 6.16/1.27 # Non-unit-clauses : 864 6.16/1.27 # Current number of unprocessed clauses: 18002 6.16/1.27 # ...number of literals in the above : 133201 6.16/1.27 # Current number of archived formulas : 0 6.16/1.27 # Current number of archived clauses : 336 6.16/1.27 # Clause-clause subsumption calls (NU) : 69787 6.16/1.27 # Rec. Clause-clause subsumption calls : 13100 6.16/1.27 # Non-unit clause-clause subsumptions : 471 6.16/1.27 # Unit Clause-clause subsumption calls : 3340 6.16/1.27 # Rewrite failures with RHS unbound : 0 6.16/1.27 # BW rewrite match attempts : 13 6.16/1.27 # BW rewrite match successes : 13 6.16/1.27 # Condensation attempts : 2051 6.16/1.27 # Condensation successes : 2 6.16/1.27 # Termbank termtop insertions : 875340 6.16/1.27 # Search garbage collected termcells : 4642 6.16/1.27 6.16/1.27 # ------------------------------------------------- 6.16/1.27 # User time : 0.751 s 6.16/1.27 # System time : 0.012 s 6.16/1.27 # Total time : 0.762 s 6.16/1.27 # Maximum resident set size: 2836 pages 6.16/1.27 6.16/1.27 # ------------------------------------------------- 6.16/1.27 # User time : 1.480 s 6.16/1.27 # System time : 0.043 s 6.16/1.27 # Total time : 1.522 s 6.16/1.27 # Maximum resident set size: 1912 pages 6.16/1.27 % E exiting 6.16/1.27 % E exiting 6.16/1.27 EOF