0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.09/0.37 % Computer : n020.cluster.edu 0.09/0.37 % Model : x86_64 x86_64 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.37 % Memory : 8046.5625MB 0.09/0.37 % OS : Linux 6.8.0-71-generic 0.09/0.37 % CPULimit : 1440 0.09/0.37 % WCLimit : 180 0.09/0.37 % DateTime : Mon Jul 27 14:39:51 UTC 2026 0.09/0.37 % CPUTime : 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.09/0.43 Running higher-order theorem proving 0.09/0.47 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p 248.68/36.65 % Version: 3.5.1-ho 248.68/36.65 % Preprocessing class: HSLSSMSMSSSNSFA. 248.68/36.65 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 248.68/36.65 % Starting new_ho_10 with 540s (3) cores 248.68/36.65 % Starting sh2lt with 180s (1) cores 248.68/36.65 % Starting new_ho_5 with 180s (1) cores 248.68/36.65 % Starting full_lambda_5 with 180s (1) cores 248.68/36.65 % Starting sh9 with 180s (1) cores 248.68/36.65 % Starting ehoh_best8_lambda with 180s (1) cores 248.68/36.65 % ehoh_best8_lambda with pid 2762852 completed with status 0 248.68/36.65 % Result found by ehoh_best8_lambda 248.68/36.65 % Preprocessing class: HSLSSMSMSSSNSFA. 248.68/36.65 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 248.68/36.65 % Starting new_ho_10 with 540s (3) cores 248.68/36.65 % Starting sh2lt with 180s (1) cores 248.68/36.65 % Starting new_ho_5 with 180s (1) cores 248.68/36.65 % Starting full_lambda_5 with 180s (1) cores 248.68/36.65 % Starting sh9 with 180s (1) cores 248.68/36.65 % Starting ehoh_best8_lambda with 180s (1) cores 248.68/36.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = Auto) 248.68/36.65 % No SInE strategy applied 248.68/36.65 % Search class: HGHSM-FFMM31-DSFFFFBN 248.68/36.65 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 248.68/36.65 % Starting SubtermCWHack with 19s (1) cores 248.68/36.65 % SubtermCWHack with pid 2762859 completed with status 8 248.68/36.65 % Starting sh5 with 109s (1) cores 248.68/36.65 % sh5 with pid 2762864 completed with status 0 248.68/36.65 % Result found by sh5 248.68/36.65 % Preprocessing class: HSLSSMSMSSSNSFA. 248.68/36.65 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 248.68/36.65 % Starting new_ho_10 with 540s (3) cores 248.68/36.65 % Starting sh2lt with 180s (1) cores 248.68/36.65 % Starting new_ho_5 with 180s (1) cores 248.68/36.65 % Starting full_lambda_5 with 180s (1) cores 248.68/36.65 % Starting sh9 with 180s (1) cores 248.68/36.65 % Starting ehoh_best8_lambda with 180s (1) cores 248.68/36.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = Auto) 248.68/36.65 % No SInE strategy applied 248.68/36.65 % Search class: HGHSM-FFMM31-DSFFFFBN 248.68/36.65 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 248.68/36.65 % Starting SubtermCWHack with 19s (1) cores 248.68/36.65 % SubtermCWHack with pid 2762859 completed with status 8 248.68/36.65 % Starting sh5 with 109s (1) cores 248.68/36.65 % Preprocessing time : 0.003 s 248.68/36.65 % Presaturation interreduction done 248.68/36.65 248.68/36.65 % Proof found! 248.68/36.65 % SZS status Theorem 248.68/36.65 % SZS output start CNFRefutation 248.68/36.65 thf(decl_sort1, type, del: $tType). 248.68/36.65 thf(decl_sort2, type, tp__ty_2Eextreal_2Eextreal: $tType). 248.68/36.65 thf(decl_23, type, bool: del). 248.68/36.65 thf(decl_25, type, arr: del > del > del). 248.68/36.65 thf(decl_26, type, mem: $i > del > $o). 248.68/36.65 thf(decl_27, type, ap: $i > $i > $i). 248.68/36.65 thf(decl_29, type, p: $i > $o). 248.68/36.65 thf(decl_30, type, inj__o: $o > $i). 248.68/36.65 thf(decl_31, type, c_2Ebool_2ET: $i). 248.68/36.65 thf(decl_32, type, ty_2Eextreal_2Eextreal: del). 248.68/36.65 thf(decl_33, type, inj__ty_2Eextreal_2Eextreal: tp__ty_2Eextreal_2Eextreal > $i). 248.68/36.65 thf(decl_34, type, surj__ty_2Eextreal_2Eextreal: $i > tp__ty_2Eextreal_2Eextreal). 248.68/36.65 thf(decl_35, type, c_2Eextreal_2Eextreal__le: $i). 248.68/36.65 thf(decl_36, type, c_2Ebool_2ECOND: del > $i). 248.68/36.65 thf(decl_37, type, c_2Eextreal_2Eextreal__max: $i). 248.68/36.65 thf(decl_38, type, fo__c_2Eextreal_2Eextreal__max: tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal). 248.68/36.65 thf(decl_39, type, c_2Ebool_2EF: $i). 248.68/36.65 thf(decl_53, type, esk3_0: tp__ty_2Eextreal_2Eextreal). 248.68/36.65 thf(decl_54, type, esk4_0: tp__ty_2Eextreal_2Eextreal). 248.68/36.65 thf(decl_55, type, esk5_0: tp__ty_2Eextreal_2Eextreal). 248.68/36.65 thf(stp_iso_mem_o, axiom, ![X4:$i]:((((X4)=(inj__o @ ((p @ X4))))<=(mem @ X4 @ bool))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', stp_iso_mem_o)). 248.68/36.65 thf(ax_false_p, axiom, ~((p @ c_2Ebool_2EF)), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', ax_false_p)). 248.68/36.65 thf(ap_tp, axiom, ![X1:del, X2:del, X8:$i]:(((mem @ X8 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X8 @ X4) @ X2))))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', ap_tp)). 248.68/36.65 thf(stp_inj_surj_ty_2Eextreal_2Eextreal, axiom, ![X33:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X33))=(X33))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', stp_inj_surj_ty_2Eextreal_2Eextreal)). 248.68/36.65 thf(stp_eq_fo_c_2Eextreal_2Eextreal__max, axiom, ![X28:tp__ty_2Eextreal_2Eextreal, X29:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X28 @ X29))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X28)) @ (inj__ty_2Eextreal_2Eextreal @ X29)))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', stp_eq_fo_c_2Eextreal_2Eextreal__max)). 248.68/36.65 thf(mem_c_2Ebool_2ET, axiom, (mem @ c_2Ebool_2ET @ bool), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', mem_c_2Ebool_2ET)). 248.68/36.65 thf(ax_true_p, axiom, (p @ c_2Ebool_2ET), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', ax_true_p)). 248.68/36.65 thf(mem_c_2Eextreal_2Eextreal__le, axiom, (mem @ c_2Eextreal_2Eextreal__le @ (arr @ ty_2Eextreal_2Eextreal @ (arr @ ty_2Eextreal_2Eextreal @ bool))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', mem_c_2Eextreal_2Eextreal__le)). 248.68/36.65 thf(mem_c_2Ebool_2EF, axiom, (mem @ c_2Ebool_2EF @ bool), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', mem_c_2Ebool_2EF)). 248.68/36.65 thf(stp_iso_mem_ty_2Eextreal_2Eextreal, axiom, ![X4:$i]:((((X4)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X4)))<=(mem @ X4 @ ty_2Eextreal_2Eextreal))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', stp_iso_mem_ty_2Eextreal_2Eextreal)). 248.68/36.65 thf(ax_thm_2Eextreal_2Eextreal__max__def, axiom, ![X20:tp__ty_2Eextreal_2Eextreal, X21:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X21)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X21))) @ (inj__ty_2Eextreal_2Eextreal @ X21)) @ (inj__ty_2Eextreal_2Eextreal @ X20))))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', ax_thm_2Eextreal_2Eextreal__max__def)). 248.68/36.65 thf(stp_inj_mem_ty_2Eextreal_2Eextreal, axiom, ![X19:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X19) @ ty_2Eextreal_2Eextreal)), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', stp_inj_mem_ty_2Eextreal_2Eextreal)). 248.68/36.65 thf(conj_thm_2Eextreal_2Ele__trans, axiom, ![X20:tp__ty_2Eextreal_2Eextreal, X21:tp__ty_2Eextreal_2Eextreal, X32:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X21)) @ (inj__ty_2Eextreal_2Eextreal @ X32)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X21))))=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X32))))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', conj_thm_2Eextreal_2Ele__trans)). 248.68/36.65 thf(conj_thm_2Eextreal_2Ele__total, axiom, ![X20:tp__ty_2Eextreal_2Eextreal, X21:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X21)) @ (inj__ty_2Eextreal_2Eextreal @ X20)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X21))))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', conj_thm_2Eextreal_2Ele__total)). 248.68/36.65 thf(conj_thm_2Eextreal_2Emax__le, conjecture, ![X23:tp__ty_2Eextreal_2Eextreal, X24:tp__ty_2Eextreal_2Eextreal, X25:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X24)) @ (inj__ty_2Eextreal_2Eextreal @ X23)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X25)) @ (inj__ty_2Eextreal_2Eextreal @ X23))))<=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X24)) @ (inj__ty_2Eextreal_2Eextreal @ X25))) @ (inj__ty_2Eextreal_2Eextreal @ X23))))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', conj_thm_2Eextreal_2Emax__le)). 248.68/36.65 thf(conj_thm_2Ebool_2ECOND__CLAUSES, axiom, ![X16:del, X30:$i]:(((mem @ X30 @ X16)=>![X31:$i]:(((mem @ X31 @ X16)=>(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X16) @ c_2Ebool_2ET) @ X30) @ X31)=(X30))&((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X16) @ c_2Ebool_2EF) @ X30) @ X31)=(X31))))))), file('/export/starexec/sandbox/tmp/tmp.gefmflPIlk/E---3.1_2762834.p', conj_thm_2Ebool_2ECOND__CLAUSES)). 248.68/36.65 thf(c_0_16, plain, ![X4:$i]:(((mem @ X4 @ bool)=>((~(p @ X4)|((X4)=(inj__o @ $true)))&((p @ X4)|((X4)=(inj__o @ $false)))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[stp_iso_mem_o])])). 248.68/36.65 thf(c_0_17, plain, ~(p @ c_2Ebool_2EF), inference(fof_simplification,[status(thm)],[ax_false_p])). 248.68/36.65 thf(c_0_18, plain, ![X138:$i]:(((~(p @ X138)|((X138)=(inj__o @ $true))|~(mem @ X138 @ bool))&((p @ X138)|((X138)=(inj__o @ $false))|~(mem @ X138 @ bool)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])). 248.68/36.65 thf(c_0_19, plain, ![X139:del, X140:del, X141:$i, X142:$i]:((~(mem @ X141 @ (arr @ X139 @ X140))|(~(mem @ X142 @ X139)|(mem @ (ap @ X141 @ X142) @ X140)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])). 248.68/36.65 thf(c_0_20, plain, ~(p @ c_2Ebool_2EF), inference(fof_nnf,[status(thm)],[c_0_17])). 248.68/36.65 thf(c_0_21, plain, ![X208:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X208))=(X208))), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Eextreal_2Eextreal])). 248.68/36.65 thf(c_0_22, plain, ![X192:tp__ty_2Eextreal_2Eextreal, X193:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X192 @ X193))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X192)) @ (inj__ty_2Eextreal_2Eextreal @ X193)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Eextreal_2Eextreal__max])). 248.68/36.65 thf(c_0_23, plain, ![X4:$i]:((((X4)=(inj__o @ (($true))))|~((p @ X4))|~((mem @ X4 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_18])). 248.68/36.65 thf(c_0_24, plain, (mem @ c_2Ebool_2ET @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET])). 248.68/36.65 thf(c_0_25, plain, (p @ c_2Ebool_2ET), inference(split_conjunct,[status(thm)],[ax_true_p])). 248.68/36.65 thf(c_0_26, plain, ![X4:$i, X5:$i, X2:del, X1:del]:(((mem @ (ap @ X4 @ X5) @ X2)|~((mem @ X4 @ (arr @ X1 @ X2)))|~((mem @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])). 248.68/36.65 thf(c_0_27, plain, (mem @ c_2Eextreal_2Eextreal__le @ (arr @ ty_2Eextreal_2Eextreal @ (arr @ ty_2Eextreal_2Eextreal @ bool))), inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2Eextreal__le])). 248.68/36.65 thf(c_0_28, plain, ![X4:$i]:(((p @ X4)|((X4)=(inj__o @ (~($true))))|~((mem @ X4 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_18])). 248.68/36.65 thf(c_0_29, plain, (mem @ c_2Ebool_2EF @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF])). 248.68/36.65 thf(c_0_30, plain, ~((p @ c_2Ebool_2EF)), inference(split_conjunct,[status(thm)],[c_0_20])). 248.68/36.65 thf(c_0_31, plain, ![X4:$i]:(((mem @ X4 @ ty_2Eextreal_2Eextreal)=>((X4)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X4))))), inference(fof_simplification,[status(thm)],[stp_iso_mem_ty_2Eextreal_2Eextreal])). 248.68/36.65 thf(c_0_32, plain, ![X198:tp__ty_2Eextreal_2Eextreal, X199:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X198)) @ (inj__ty_2Eextreal_2Eextreal @ X199)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X198)) @ (inj__ty_2Eextreal_2Eextreal @ X199))) @ (inj__ty_2Eextreal_2Eextreal @ X199)) @ (inj__ty_2Eextreal_2Eextreal @ X198))))), inference(variable_rename,[status(thm)],[ax_thm_2Eextreal_2Eextreal__max__def])). 248.68/36.65 thf(c_0_33, plain, ![X19:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X19))=(X19))), inference(split_conjunct,[status(thm)],[c_0_21])). 248.68/36.65 thf(c_0_34, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X19 @ X20))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20)))), inference(split_conjunct,[status(thm)],[c_0_22])). 248.68/36.65 thf(c_0_35, plain, ((inj__o @ (($true)))=(c_2Ebool_2ET)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])])). 248.68/36.65 thf(c_0_36, plain, ![X4:$i]:(((mem @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ (arr @ ty_2Eextreal_2Eextreal @ bool))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 248.68/36.65 thf(c_0_37, plain, ((inj__o @ (~($true)))=(c_2Ebool_2EF)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])). 248.68/36.65 thf(c_0_38, plain, ![X153:$i]:((~(mem @ X153 @ ty_2Eextreal_2Eextreal)|((X153)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X153))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])). 248.68/36.65 thf(c_0_39, plain, ![X20:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))) @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19))))), inference(split_conjunct,[status(thm)],[c_0_32])). 248.68/36.65 thf(c_0_40, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20)))=(fo__c_2Eextreal_2Eextreal__max @ X19 @ X20))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 248.68/36.65 thf(c_0_41, plain, ![X4:$i]:((((X4)=(c_2Ebool_2ET))|~((mem @ X4 @ bool))|~((p @ X4)))), inference(rw,[status(thm)],[c_0_23, c_0_35])). 248.68/36.65 thf(c_0_42, plain, ![X5:$i, X4:$i]:(((mem @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X5) @ bool)|~((mem @ X5 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_26, c_0_36])). 248.68/36.65 thf(c_0_43, plain, ![X4:$i]:((((X4)=(c_2Ebool_2EF))|(p @ X4)|~((mem @ X4 @ bool)))), inference(rw,[status(thm)],[c_0_28, c_0_37])). 248.68/36.65 thf(c_0_44, plain, ![X4:$i]:((((X4)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(split_conjunct,[status(thm)],[c_0_38])). 248.68/36.65 thf(c_0_45, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))) @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))=(fo__c_2Eextreal_2Eextreal__max @ X19 @ X20))), inference(rw,[status(thm)],[c_0_39, c_0_40])). 248.68/36.65 thf(c_0_46, plain, ![X5:$i, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X5)=(c_2Ebool_2ET))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X5)))|~((mem @ X5 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 248.68/36.65 thf(c_0_47, plain, ![X5:$i, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X5)=(c_2Ebool_2EF))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X5))|~((mem @ X5 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_43, c_0_42])). 248.68/36.65 thf(c_0_48, plain, ![X164:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X164) @ ty_2Eextreal_2Eextreal)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Eextreal_2Eextreal])). 248.68/36.65 thf(c_0_49, plain, ![X203:tp__ty_2Eextreal_2Eextreal, X204:tp__ty_2Eextreal_2Eextreal, X205:tp__ty_2Eextreal_2Eextreal]:((~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X204)) @ (inj__ty_2Eextreal_2Eextreal @ X205)))|~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X203)) @ (inj__ty_2Eextreal_2Eextreal @ X204)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X203)) @ (inj__ty_2Eextreal_2Eextreal @ X205))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__trans])])])). 248.68/36.65 thf(c_0_50, plain, ![X167:tp__ty_2Eextreal_2Eextreal, X168:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X168)) @ (inj__ty_2Eextreal_2Eextreal @ X167)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X167)) @ (inj__ty_2Eextreal_2Eextreal @ X168))))), inference(variable_rename,[status(thm)],[conj_thm_2Eextreal_2Ele__total])). 248.68/36.65 thf(c_0_51, negated_conjecture, ~(![X23:tp__ty_2Eextreal_2Eextreal, X24:tp__ty_2Eextreal_2Eextreal, X25:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X24)) @ (inj__ty_2Eextreal_2Eextreal @ X23)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X25)) @ (inj__ty_2Eextreal_2Eextreal @ X23))))<=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X24)) @ (inj__ty_2Eextreal_2Eextreal @ X25))) @ (inj__ty_2Eextreal_2Eextreal @ X23)))))), inference(assume_negation,[status(cth)],[conj_thm_2Eextreal_2Emax__le])). 248.68/36.65 thf(c_0_52, plain, ![X20:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))) @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20)))|~((mem @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))) @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ ty_2Eextreal_2Eextreal)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_34])). 248.68/36.65 thf(c_0_53, plain, ![X5:$i, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X5)=(c_2Ebool_2EF))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X5)=(c_2Ebool_2ET))|~((mem @ X5 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 248.68/36.65 thf(c_0_54, plain, ![X19:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X19) @ ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[c_0_48])). 248.68/36.65 thf(c_0_55, plain, ![X200:del, X201:$i, X202:$i]:(((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X200) @ c_2Ebool_2ET) @ X201) @ X202)=(X201))|~(mem @ X202 @ X200)|~(mem @ X201 @ X200))&(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X200) @ c_2Ebool_2EF) @ X201) @ X202)=(X202))|~(mem @ X202 @ X200)|~(mem @ X201 @ X200)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebool_2ECOND__CLAUSES])])])])])). 248.68/36.65 thf(c_0_56, plain, ![X21:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X21)) @ (inj__ty_2Eextreal_2Eextreal @ X20)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X21)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))))), inference(split_conjunct,[status(thm)],[c_0_49])). 248.68/36.65 thf(c_0_57, plain, ![X20:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19))))), inference(split_conjunct,[status(thm)],[c_0_50])). 248.68/36.65 thf(c_0_58, negated_conjecture, ((~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))|~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))|~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0))))&(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0))))&((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])])])). 248.68/36.65 thf(c_0_59, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ c_2Ebool_2EF) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19))=(c_2Ebool_2ET))|~((mem @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ c_2Ebool_2EF) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ ty_2Eextreal_2Eextreal)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54]), c_0_54])])). 248.68/36.65 thf(c_0_60, plain, ![X4:$i, X5:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2EF) @ X4) @ X5)=(X5))|~((mem @ X5 @ X1))|~((mem @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_55])). 248.68/36.65 thf(c_0_61, plain, ![X20:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal, X4:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X4)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ (inj__ty_2Eextreal_2Eextreal @ X20))))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_56, c_0_44])). 248.68/36.65 thf(c_0_62, plain, ![X20:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))=(c_2Ebool_2ET))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_53]), c_0_54]), c_0_54])]), c_0_30])). 248.68/36.65 thf(c_0_63, negated_conjecture, ((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_58])). 248.68/36.65 thf(c_0_64, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))=(inj__ty_2Eextreal_2Eextreal @ X19))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))=(c_2Ebool_2ET)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_54]), c_0_54])])). 248.68/36.65 thf(c_0_65, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ (inj__ty_2Eextreal_2Eextreal @ X19))) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X4))=(fo__c_2Eextreal_2Eextreal__max @ (surj__ty_2Eextreal_2Eextreal @ X4) @ X19))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_45, c_0_44])). 248.68/36.65 thf(c_0_66, negated_conjecture, (~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0))))), inference(split_conjunct,[status(thm)],[c_0_58])). 248.68/36.66 thf(c_0_67, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal, X21:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))=(c_2Ebool_2ET))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X21)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X21)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_54])])). 248.68/36.66 thf(c_0_68, negated_conjecture, (((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0))=(c_2Ebool_2ET))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))), inference(spm,[status(thm)],[c_0_63, c_0_64])). 248.68/36.66 thf(c_0_69, plain, ![X4:$i, X5:$i]:((((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X5)) @ X5) @ X4))=(fo__c_2Eextreal_2Eextreal__max @ (surj__ty_2Eextreal_2Eextreal @ X4) @ (surj__ty_2Eextreal_2Eextreal @ X5)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal))|~((mem @ X5 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_65, c_0_44])). 248.68/36.66 thf(c_0_70, negated_conjecture, ((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0))=(c_2Ebool_2ET)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_64]), c_0_67]), c_0_68])). 248.68/36.66 thf(c_0_71, negated_conjecture, ((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ c_2Ebool_2ET) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))=(fo__c_2Eextreal_2Eextreal__max @ esk4_0 @ esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_33]), c_0_33]), c_0_54]), c_0_54])])). 248.68/36.66 thf(c_0_72, plain, ![X4:$i, X5:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2ET) @ X4) @ X5)=(X4))|~((mem @ X5 @ X1))|~((mem @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_55])). 248.68/36.66 thf(c_0_73, negated_conjecture, ((fo__c_2Eextreal_2Eextreal__max @ esk4_0 @ esk5_0)=(esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_33]), c_0_54]), c_0_54])])). 248.68/36.66 thf(c_0_74, negated_conjecture, ((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_58])). 248.68/36.66 thf(c_0_75, negated_conjecture, ((ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0))=(inj__ty_2Eextreal_2Eextreal @ esk5_0)), inference(spm,[status(thm)],[c_0_34, c_0_73])). 248.68/36.66 thf(c_0_76, negated_conjecture, ![X19:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_70]), c_0_25]), c_0_54])])). 248.68/36.66 thf(c_0_77, negated_conjecture, (p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0))), inference(spm,[status(thm)],[c_0_74, c_0_75])). 248.68/36.66 thf(c_0_78, negated_conjecture, ![X4:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ X4))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_76, c_0_44])). 248.68/36.66 thf(c_0_79, negated_conjecture, ~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_75]), c_0_77]), c_0_77])])). 248.68/36.66 thf(c_0_80, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_77]), c_0_54])]), c_0_79]), ['proof']). 248.68/36.66 % SZS output end CNFRefutation 248.68/36.66 % Parsed axioms : 83 248.68/36.66 % Removed by relevancy pruning/SinE : 0 248.68/36.66 % Initial clauses : 361 248.68/36.66 % Removed in clause preprocessing : 280 248.68/36.66 % Initial clauses in saturation : 81 248.68/36.66 % Processed clauses : 19496 248.68/36.66 % ...of these trivial : 154 248.68/36.66 % ...subsumed : 15957 248.68/36.66 % ...remaining for further processing : 3384 248.68/36.66 % Other redundant clauses eliminated : 159 248.68/36.66 % Clauses deleted for lack of memory : 0 248.68/36.66 % Backward-subsumed : 305 248.68/36.66 % Backward-rewritten : 454 248.68/36.66 % Generated clauses : 258854 248.68/36.66 % ...of the previous two non-redundant : 231677 248.68/36.66 % ...aggressively subsumed : 0 248.68/36.66 % Contextual simplify-reflections : 81 248.68/36.66 % Paramodulations : 258524 248.68/36.66 % Factorizations : 106 248.68/36.66 % NegExts : 0 248.68/36.66 % Equation resolutions : 160 248.68/36.66 % Disequality decompositions : 0 248.68/36.66 % Total rewrite steps : 143561 248.68/36.66 % ...of those cached : 142693 248.68/36.66 % Propositional unsat checks : 0 248.68/36.66 % Propositional check models : 0 248.68/36.66 % Propositional check unsatisfiable : 0 248.68/36.66 % Propositional clauses : 0 248.68/36.66 % Propositional clauses after purity: 0 248.68/36.66 % Propositional unsat core size : 0 248.68/36.66 % Propositional preprocessing time : 0.000 248.68/36.66 % Propositional encoding time : 0.000 248.68/36.66 % Propositional solver time : 0.000 248.68/36.66 % Success case prop preproc time : 0.000 248.68/36.66 % Success case prop encoding time : 0.000 248.68/36.66 % Success case prop solver time : 0.000 248.68/36.66 % Current number of processed clauses : 2532 248.68/36.66 % Positive orientable unit clauses : 80 248.68/36.66 % Positive unorientable unit clauses: 0 248.68/36.66 % Negative unit clauses : 3 248.68/36.66 % Non-unit-clauses : 2449 248.68/36.66 % Current number of unprocessed clauses: 211297 248.68/36.66 % ...number of literals in the above : 1065127 248.68/36.66 % Current number of archived formulas : 0 248.68/36.66 % Current number of archived clauses : 851 248.68/36.66 % Clause-clause subsumption calls (NU) : 1217534 248.68/36.66 % Rec. Clause-clause subsumption calls : 333389 248.68/36.66 % Non-unit clause-clause subsumptions : 14103 248.68/36.66 % Unit Clause-clause subsumption calls : 20744 248.68/36.66 % Rewrite failures with RHS unbound : 0 248.68/36.66 % BW rewrite match attempts : 1409 248.68/36.66 % BW rewrite match successes : 43 248.68/36.66 % Condensation attempts : 19497 248.68/36.66 % Condensation successes : 300 248.68/36.66 % Termbank termtop insertions : 9146007 248.68/36.66 % Search garbage collected termcells : 4358 248.68/36.66 248.68/36.66 % ------------------------------------------------- 248.68/36.66 % User time : 34.730 s 248.68/36.66 % System time : 0.883 s 248.68/36.66 % Total time : 35.614 s 248.68/36.66 % Maximum resident set size: 4516 pages 248.68/36.66 248.68/36.66 % ------------------------------------------------- 248.68/36.66 % User time : 34.739 s 248.68/36.66 % System time : 0.893 s 248.68/36.66 % Total time : 35.632 s 248.68/36.66 % Maximum resident set size: 4864 pages 248.68/36.66 % E exiting 248.68/36.66 EOF