0.07/0.12 % Problem : Vampire---4.8_12546 : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n027.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 13:26:32 EDT 2023 0.13/0.34 % CPUTime : 0.20/0.48 Running higher-order theorem provingRunning: /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.OAHZogs30h/Vampire---4.8_12546 0.20/0.48 # Version: 3.1pre001-ho 37.65/5.23 # Preprocessing class: HSLSSMSMSSSNSFA. 37.65/5.23 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 37.65/5.23 # Starting new_ho_10 with 540s (3) cores 37.65/5.23 # Starting sh2lt with 180s (1) cores 37.65/5.23 # Starting new_ho_5 with 180s (1) cores 37.65/5.23 # Starting full_lambda_5 with 180s (1) cores 37.65/5.23 # Starting sh9 with 180s (1) cores 37.65/5.23 # Starting ehoh_best8_lambda with 180s (1) cores 37.65/5.23 # full_lambda_5 with pid 12727 completed with status 0 37.65/5.23 # Result found by full_lambda_5 37.65/5.23 # Preprocessing class: HSLSSMSMSSSNSFA. 37.65/5.23 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 37.65/5.23 # Starting new_ho_10 with 540s (3) cores 37.65/5.23 # Starting sh2lt with 180s (1) cores 37.65/5.23 # Starting new_ho_5 with 180s (1) cores 37.65/5.23 # Starting full_lambda_5 with 180s (1) cores 37.65/5.23 # No SInE strategy applied 37.65/5.23 # Search class: HGHSM-FFMM31-DSFFFFBN 37.65/5.23 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 37.65/5.23 # Starting sh5 with 98s (1) cores 37.65/5.23 # sh5 with pid 12736 completed with status 0 37.65/5.23 # Result found by sh5 37.65/5.23 # Preprocessing class: HSLSSMSMSSSNSFA. 37.65/5.23 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 37.65/5.23 # Starting new_ho_10 with 540s (3) cores 37.65/5.23 # Starting sh2lt with 180s (1) cores 37.65/5.23 # Starting new_ho_5 with 180s (1) cores 37.65/5.23 # Starting full_lambda_5 with 180s (1) cores 37.65/5.23 # No SInE strategy applied 37.65/5.23 # Search class: HGHSM-FFMM31-DSFFFFBN 37.65/5.23 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 37.65/5.23 # Starting sh5 with 98s (1) cores 37.65/5.23 # Preprocessing time : 0.003 s 37.65/5.23 # Presaturation interreduction done 37.65/5.23 37.65/5.23 # Proof found! 37.65/5.23 # SZS status Theorem 37.65/5.23 # SZS output start CNFRefutation 37.65/5.23 thf(decl_22, type, bool: del). 37.65/5.23 thf(decl_24, type, arr: del > del > del). 37.65/5.23 thf(decl_25, type, mem: $i > del > $o). 37.65/5.23 thf(decl_26, type, ap: $i > $i > $i). 37.65/5.23 thf(decl_28, type, p: $i > $o). 37.65/5.23 thf(decl_29, type, inj__o: $o > $i). 37.65/5.23 thf(decl_30, type, c_2Ebool_2ET: $i). 37.65/5.23 thf(decl_31, type, ty_2Eextreal_2Eextreal: del). 37.65/5.23 thf(decl_32, type, inj__ty_2Eextreal_2Eextreal: tp__ty_2Eextreal_2Eextreal > $i). 37.65/5.23 thf(decl_33, type, surj__ty_2Eextreal_2Eextreal: $i > tp__ty_2Eextreal_2Eextreal). 37.65/5.23 thf(decl_34, type, c_2Eextreal_2Eextreal__le: $i). 37.65/5.23 thf(decl_35, type, c_2Ebool_2ECOND: del > $i). 37.65/5.23 thf(decl_36, type, c_2Eextreal_2Eextreal__max: $i). 37.65/5.23 thf(decl_37, type, fo__c_2Eextreal_2Eextreal__max: tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal). 37.65/5.23 thf(decl_38, type, c_2Ebool_2EF: $i). 37.65/5.23 thf(decl_53, type, esk4_0: tp__ty_2Eextreal_2Eextreal). 37.65/5.23 thf(decl_54, type, esk5_0: tp__ty_2Eextreal_2Eextreal). 37.65/5.23 thf(decl_55, type, esk6_0: tp__ty_2Eextreal_2Eextreal). 37.65/5.23 thf(stp_iso_mem_o, axiom, ![X12:$i]:((((X12)=(inj__o @ ((p @ X12))))<=(mem @ X12 @ bool))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', stp_iso_mem_o)). 37.65/5.23 thf(ap_tp, axiom, ![X2:del, X5:del, X6:$i]:(((mem @ X6 @ (arr @ X2 @ X5))=>![X7:$i]:(((mem @ X7 @ X2)=>(mem @ (ap @ X6 @ X7) @ X5))))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', ap_tp)). 37.65/5.23 thf(ax_false_p, axiom, ~((p @ c_2Ebool_2EF)), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', ax_false_p)). 37.65/5.23 thf(mem_c_2Ebool_2ET, axiom, (mem @ c_2Ebool_2ET @ bool), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', mem_c_2Ebool_2ET)). 37.65/5.23 thf(ax_true_p, axiom, (p @ c_2Ebool_2ET), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', ax_true_p)). 37.65/5.23 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.OAHZogs30h/Vampire---4.8_12546', mem_c_2Eextreal_2Eextreal__le)). 37.65/5.23 thf(mem_c_2Ebool_2EF, axiom, (mem @ c_2Ebool_2EF @ bool), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', mem_c_2Ebool_2EF)). 37.65/5.23 thf(stp_inj_surj_ty_2Eextreal_2Eextreal, axiom, ![X15:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X15))=(X15))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', stp_inj_surj_ty_2Eextreal_2Eextreal)). 37.65/5.23 thf(stp_eq_fo_c_2Eextreal_2Eextreal__max, axiom, ![X26:tp__ty_2Eextreal_2Eextreal, X27:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X26 @ X27))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X26)) @ (inj__ty_2Eextreal_2Eextreal @ X27)))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', stp_eq_fo_c_2Eextreal_2Eextreal__max)). 37.65/5.23 thf(ax_thm_2Eextreal_2Eextreal__max__def, axiom, ![X43:tp__ty_2Eextreal_2Eextreal, X44:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X43)) @ (inj__ty_2Eextreal_2Eextreal @ X44)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X43)) @ (inj__ty_2Eextreal_2Eextreal @ X44))) @ (inj__ty_2Eextreal_2Eextreal @ X44)) @ (inj__ty_2Eextreal_2Eextreal @ X43))))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', ax_thm_2Eextreal_2Eextreal__max__def)). 37.65/5.23 thf(stp_inj_mem_ty_2Eextreal_2Eextreal, axiom, ![X39:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X39) @ ty_2Eextreal_2Eextreal)), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', stp_inj_mem_ty_2Eextreal_2Eextreal)). 37.65/5.23 thf(conj_thm_2Ebool_2ECOND__CLAUSES, axiom, ![X22:del, X31:$i]:((![X32:$i]:(((mem @ X32 @ X22)=>(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X22) @ c_2Ebool_2ET) @ X31) @ X32)=(X31))&((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X22) @ c_2Ebool_2EF) @ X31) @ X32)=(X32)))))<=(mem @ X31 @ X22))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', conj_thm_2Ebool_2ECOND__CLAUSES)). 37.65/5.23 thf(stp_iso_mem_ty_2Eextreal_2Eextreal, axiom, ![X14:$i]:(((mem @ X14 @ ty_2Eextreal_2Eextreal)=>((X14)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X14))))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', stp_iso_mem_ty_2Eextreal_2Eextreal)). 37.65/5.23 thf(conj_thm_2Eextreal_2Ele__trans, axiom, ![X40:tp__ty_2Eextreal_2Eextreal, X41:tp__ty_2Eextreal_2Eextreal, X42:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X41)) @ (inj__ty_2Eextreal_2Eextreal @ X42)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X40)) @ (inj__ty_2Eextreal_2Eextreal @ X41))))=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X40)) @ (inj__ty_2Eextreal_2Eextreal @ X42))))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', conj_thm_2Eextreal_2Ele__trans)). 37.65/5.23 thf(conj_thm_2Eextreal_2Ele__total, axiom, ![X33:tp__ty_2Eextreal_2Eextreal, X34:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X33)) @ (inj__ty_2Eextreal_2Eextreal @ X34)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X34)) @ (inj__ty_2Eextreal_2Eextreal @ X33))))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', conj_thm_2Eextreal_2Ele__total)). 37.65/5.23 thf(conj_thm_2Eextreal_2Emax__le, conjecture, ![X36:tp__ty_2Eextreal_2Eextreal, X37:tp__ty_2Eextreal_2Eextreal, X38:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X38)) @ (inj__ty_2Eextreal_2Eextreal @ X36)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X37)) @ (inj__ty_2Eextreal_2Eextreal @ X36))))<=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X37)) @ (inj__ty_2Eextreal_2Eextreal @ X38))) @ (inj__ty_2Eextreal_2Eextreal @ X36))))), file('/export/starexec/sandbox/tmp/tmp.OAHZogs30h/Vampire---4.8_12546', conj_thm_2Eextreal_2Emax__le)). 37.65/5.23 thf(c_0_16, plain, ![X12:$i]:(((mem @ X12 @ bool)=>((~(p @ X12)|((X12)=(inj__o @ $true)))&((p @ X12)|((X12)=(inj__o @ $false)))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[stp_iso_mem_o])])). 37.65/5.23 thf(c_0_17, plain, ![X155:$i]:(((~(p @ X155)|((X155)=(inj__o @ $true))|~(mem @ X155 @ bool))&((p @ X155)|((X155)=(inj__o @ $false))|~(mem @ X155 @ bool)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])). 37.65/5.23 thf(c_0_18, plain, ![X142:del, X143:del, X144:$i, X145:$i]:((~(mem @ X144 @ (arr @ X142 @ X143))|(~(mem @ X145 @ X142)|(mem @ (ap @ X144 @ X145) @ X143)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])). 37.65/5.23 thf(c_0_19, plain, ~(p @ c_2Ebool_2EF), inference(fof_simplification,[status(thm)],[ax_false_p])). 37.65/5.23 thf(c_0_20, plain, ![X4:$i]:((((X4)=(inj__o @ (($true))))|~((p @ X4))|~((mem @ X4 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_17])). 37.65/5.23 thf(c_0_21, plain, (mem @ c_2Ebool_2ET @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET])). 37.65/5.23 thf(c_0_22, plain, (p @ c_2Ebool_2ET), inference(split_conjunct,[status(thm)],[ax_true_p])). 37.65/5.23 thf(c_0_23, plain, ![X4:$i, X6:$i, X5:del, X2:del]:(((mem @ (ap @ X4 @ X6) @ X5)|~((mem @ X4 @ (arr @ X2 @ X5)))|~((mem @ X6 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_18])). 37.65/5.23 thf(c_0_24, plain, (mem @ c_2Eextreal_2Eextreal__le @ (arr @ ty_2Eextreal_2Eextreal @ (arr @ ty_2Eextreal_2Eextreal @ bool))), inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2Eextreal__le])). 37.65/5.23 thf(c_0_25, plain, ![X4:$i]:(((p @ X4)|((X4)=(inj__o @ (~($true))))|~((mem @ X4 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_17])). 37.65/5.23 thf(c_0_26, plain, (mem @ c_2Ebool_2EF @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF])). 37.65/5.23 thf(c_0_27, plain, ~((p @ c_2Ebool_2EF)), inference(split_conjunct,[status(thm)],[c_0_19])). 37.65/5.23 thf(c_0_28, plain, ![X158:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X158))=(X158))), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Eextreal_2Eextreal])). 37.65/5.23 thf(c_0_29, plain, ![X173:tp__ty_2Eextreal_2Eextreal, X174:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X173 @ X174))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X173)) @ (inj__ty_2Eextreal_2Eextreal @ X174)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Eextreal_2Eextreal__max])). 37.65/5.23 thf(c_0_30, plain, ((inj__o @ (($true)))=(c_2Ebool_2ET)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])])). 37.65/5.23 thf(c_0_31, plain, ![X4:$i]:(((mem @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ (arr @ ty_2Eextreal_2Eextreal @ bool))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 37.65/5.23 thf(c_0_32, plain, ((inj__o @ (~($true)))=(c_2Ebool_2EF)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])). 37.65/5.23 thf(c_0_33, plain, ![X219:tp__ty_2Eextreal_2Eextreal, X220:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X219)) @ (inj__ty_2Eextreal_2Eextreal @ X220)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X219)) @ (inj__ty_2Eextreal_2Eextreal @ X220))) @ (inj__ty_2Eextreal_2Eextreal @ X220)) @ (inj__ty_2Eextreal_2Eextreal @ X219))))), inference(variable_rename,[status(thm)],[ax_thm_2Eextreal_2Eextreal__max__def])). 37.65/5.23 thf(c_0_34, plain, ![X15:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X15))=(X15))), inference(split_conjunct,[status(thm)],[c_0_28])). 37.65/5.23 thf(c_0_35, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X26:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X15 @ X26))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26)))), inference(split_conjunct,[status(thm)],[c_0_29])). 37.65/5.23 thf(c_0_36, plain, ![X4:$i]:((((X4)=(c_2Ebool_2ET))|~((mem @ X4 @ bool))|~((p @ X4)))), inference(rw,[status(thm)],[c_0_20, c_0_30])). 37.65/5.23 thf(c_0_37, plain, ![X6:$i, X4:$i]:(((mem @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6) @ bool)|~((mem @ X6 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_23, c_0_31])). 37.65/5.23 thf(c_0_38, plain, ![X4:$i]:((((X4)=(c_2Ebool_2EF))|(p @ X4)|~((mem @ X4 @ bool)))), inference(rw,[status(thm)],[c_0_25, c_0_32])). 37.65/5.23 thf(c_0_39, plain, ![X26:tp__ty_2Eextreal_2Eextreal, X15:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26))) @ (inj__ty_2Eextreal_2Eextreal @ X26)) @ (inj__ty_2Eextreal_2Eextreal @ X15))))), inference(split_conjunct,[status(thm)],[c_0_33])). 37.65/5.23 thf(c_0_40, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X26:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26)))=(fo__c_2Eextreal_2Eextreal__max @ X15 @ X26))), inference(spm,[status(thm)],[c_0_34, c_0_35])). 37.65/5.23 thf(c_0_41, plain, ![X6:$i, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)=(c_2Ebool_2ET))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)))|~((mem @ X6 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 37.65/5.23 thf(c_0_42, plain, ![X6:$i, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)=(c_2Ebool_2EF))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6))|~((mem @ X6 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_38, c_0_37])). 37.65/5.23 thf(c_0_43, plain, ![X215:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X215) @ ty_2Eextreal_2Eextreal)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Eextreal_2Eextreal])). 37.65/5.23 thf(c_0_44, plain, ![X22:del, X31:$i]:(((mem @ X31 @ X22)=>![X32:$i]:(((mem @ X32 @ X22)=>(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X22) @ c_2Ebool_2ET) @ X31) @ X32)=(X31))&((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X22) @ c_2Ebool_2EF) @ X31) @ X32)=(X32))))))), inference(fof_simplification,[status(thm)],[conj_thm_2Ebool_2ECOND__CLAUSES])). 37.65/5.23 thf(c_0_45, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X26: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 @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26))) @ (inj__ty_2Eextreal_2Eextreal @ X26)) @ (inj__ty_2Eextreal_2Eextreal @ X15)))=(fo__c_2Eextreal_2Eextreal__max @ X15 @ X26))), inference(rw,[status(thm)],[c_0_39, c_0_40])). 37.65/5.23 thf(c_0_46, plain, ![X6:$i, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)=(c_2Ebool_2EF))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)=(c_2Ebool_2ET))|~((mem @ X6 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 37.65/5.23 thf(c_0_47, plain, ![X15:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X15) @ ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[c_0_43])). 37.65/5.23 thf(c_0_48, plain, ![X195:del, X196:$i, X197:$i]:(((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X195) @ c_2Ebool_2ET) @ X196) @ X197)=(X196))|~(mem @ X197 @ X195)|~(mem @ X196 @ X195))&(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X195) @ c_2Ebool_2EF) @ X196) @ X197)=(X197))|~(mem @ X197 @ X195)|~(mem @ X196 @ X195)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])])). 37.65/5.23 thf(c_0_49, plain, ![X157:$i]:((~(mem @ X157 @ ty_2Eextreal_2Eextreal)|((X157)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X157))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Eextreal_2Eextreal])])). 37.65/5.23 thf(c_0_50, plain, ![X26:tp__ty_2Eextreal_2Eextreal, X15:tp__ty_2Eextreal_2Eextreal]:((((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ c_2Ebool_2EF) @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26)))=(fo__c_2Eextreal_2Eextreal__max @ X26 @ X15))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X26)) @ (inj__ty_2Eextreal_2Eextreal @ X15))=(c_2Ebool_2ET)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47]), c_0_47])])). 37.65/5.23 thf(c_0_51, plain, ![X4:$i, X6:$i, X2:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ c_2Ebool_2EF) @ X4) @ X6)=(X6))|~((mem @ X6 @ X2))|~((mem @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_48])). 37.65/5.23 thf(c_0_52, plain, ![X4:$i]:((((X4)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(split_conjunct,[status(thm)],[c_0_49])). 37.65/5.23 thf(c_0_53, plain, ![X26:tp__ty_2Eextreal_2Eextreal, X15:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26))=(c_2Ebool_2ET))|((fo__c_2Eextreal_2Eextreal__max @ X15 @ X26)=(X15)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_34]), c_0_47]), c_0_47])])). 37.65/5.23 thf(c_0_54, plain, ![X216:tp__ty_2Eextreal_2Eextreal, X217:tp__ty_2Eextreal_2Eextreal, X218:tp__ty_2Eextreal_2Eextreal]:((~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X217)) @ (inj__ty_2Eextreal_2Eextreal @ X218)))|~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X216)) @ (inj__ty_2Eextreal_2Eextreal @ X217)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X216)) @ (inj__ty_2Eextreal_2Eextreal @ X218))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__trans])])). 37.65/5.23 thf(c_0_55, plain, ![X199:tp__ty_2Eextreal_2Eextreal, X200:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X199)) @ (inj__ty_2Eextreal_2Eextreal @ X200)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X200)) @ (inj__ty_2Eextreal_2Eextreal @ X199))))), inference(variable_rename,[status(thm)],[conj_thm_2Eextreal_2Ele__total])). 37.65/5.23 thf(c_0_56, negated_conjecture, ~(![X36:tp__ty_2Eextreal_2Eextreal, X37:tp__ty_2Eextreal_2Eextreal, X38:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X38)) @ (inj__ty_2Eextreal_2Eextreal @ X36)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X37)) @ (inj__ty_2Eextreal_2Eextreal @ X36))))<=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X37)) @ (inj__ty_2Eextreal_2Eextreal @ X38))) @ (inj__ty_2Eextreal_2Eextreal @ X36)))))), inference(assume_negation,[status(cth)],[conj_thm_2Eextreal_2Emax__le])). 37.65/5.23 thf(c_0_57, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((fo__c_2Eextreal_2Eextreal__max @ (surj__ty_2Eextreal_2Eextreal @ X4) @ X15)=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ X4) @ (inj__ty_2Eextreal_2Eextreal @ X15))))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_40, c_0_52])). 37.65/5.23 thf(c_0_58, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((fo__c_2Eextreal_2Eextreal__max @ X15 @ (surj__ty_2Eextreal_2Eextreal @ X4))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_40, c_0_52])). 37.65/5.23 thf(c_0_59, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ X4)=(c_2Ebool_2ET))|((fo__c_2Eextreal_2Eextreal__max @ X15 @ (surj__ty_2Eextreal_2Eextreal @ X4))=(X15))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_53, c_0_52])). 37.65/5.23 thf(c_0_60, plain, ![X27:tp__ty_2Eextreal_2Eextreal, X26:tp__ty_2Eextreal_2Eextreal, X15:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X27)) @ (inj__ty_2Eextreal_2Eextreal @ X26)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X27)) @ (inj__ty_2Eextreal_2Eextreal @ X15)))))), inference(split_conjunct,[status(thm)],[c_0_54])). 37.65/5.23 thf(c_0_61, plain, ![X26:tp__ty_2Eextreal_2Eextreal, X15:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X26)) @ (inj__ty_2Eextreal_2Eextreal @ X15))))), inference(split_conjunct,[status(thm)],[c_0_55])). 37.65/5.23 thf(c_0_62, negated_conjecture, ((~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))))&(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))))&((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])). 37.65/5.23 thf(c_0_63, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ X4) @ (inj__ty_2Eextreal_2Eextreal @ X15))))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X4))) @ (inj__ty_2Eextreal_2Eextreal @ X15)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_35, c_0_57])). 37.65/5.23 thf(c_0_64, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ X4))=(X15))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ X4)=(c_2Ebool_2ET))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_58, c_0_59])). 37.65/5.23 thf(c_0_65, plain, ![X26:tp__ty_2Eextreal_2Eextreal, X15:tp__ty_2Eextreal_2Eextreal, X4:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ X4)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ (inj__ty_2Eextreal_2Eextreal @ X26))))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_60, c_0_52])). 37.65/5.23 thf(c_0_66, plain, ![X26:tp__ty_2Eextreal_2Eextreal, X15:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26))=(c_2Ebool_2ET))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X26)) @ (inj__ty_2Eextreal_2Eextreal @ X15))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_46]), c_0_47]), c_0_47])]), c_0_27])). 37.65/5.23 thf(c_0_67, negated_conjecture, ((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_62])). 37.65/5.23 thf(c_0_68, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X26:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26))=(inj__ty_2Eextreal_2Eextreal @ X15))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26))=(c_2Ebool_2ET)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_34]), c_0_47]), c_0_47])])). 37.65/5.23 thf(c_0_69, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ (inj__ty_2Eextreal_2Eextreal @ X15))) @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ X4))=(fo__c_2Eextreal_2Eextreal__max @ (surj__ty_2Eextreal_2Eextreal @ X4) @ X15))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_45, c_0_52])). 37.65/5.23 thf(c_0_70, negated_conjecture, (~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))))), inference(split_conjunct,[status(thm)],[c_0_62])). 37.65/5.23 thf(c_0_71, plain, ![X15:tp__ty_2Eextreal_2Eextreal, X26:tp__ty_2Eextreal_2Eextreal, X27:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X26))=(c_2Ebool_2ET))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X26)) @ (inj__ty_2Eextreal_2Eextreal @ X27)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X15)) @ (inj__ty_2Eextreal_2Eextreal @ X27)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_47])])). 37.65/5.23 thf(c_0_72, negated_conjecture, (((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))=(c_2Ebool_2ET))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))), inference(spm,[status(thm)],[c_0_67, c_0_68])). 37.65/5.23 thf(c_0_73, plain, ![X4:$i, X6:$i]:((((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)) @ X6) @ X4))=(fo__c_2Eextreal_2Eextreal__max @ (surj__ty_2Eextreal_2Eextreal @ X4) @ (surj__ty_2Eextreal_2Eextreal @ X6)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal))|~((mem @ X6 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_69, c_0_52])). 37.65/5.23 thf(c_0_74, negated_conjecture, ((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))=(c_2Ebool_2ET)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_68]), c_0_71]), c_0_72])). 37.65/5.23 thf(c_0_75, negated_conjecture, ((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ c_2Ebool_2ET) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)))=(fo__c_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_34]), c_0_34]), c_0_47]), c_0_47])])). 37.65/5.23 thf(c_0_76, plain, ![X4:$i, X6:$i, X2:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X2) @ c_2Ebool_2ET) @ X4) @ X6)=(X4))|~((mem @ X6 @ X2))|~((mem @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_48])). 37.65/5.23 thf(c_0_77, negated_conjecture, ((fo__c_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)=(esk6_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_34]), c_0_47]), c_0_47])])). 37.65/5.23 thf(c_0_78, negated_conjecture, ((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_62])). 37.65/5.23 thf(c_0_79, negated_conjecture, ((ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))=(inj__ty_2Eextreal_2Eextreal @ esk6_0)), inference(spm,[status(thm)],[c_0_35, c_0_77])). 37.65/5.23 thf(c_0_80, negated_conjecture, ![X15:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ X15)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ X15)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_74]), c_0_22]), c_0_47])])). 37.65/5.23 thf(c_0_81, negated_conjecture, (p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))), inference(spm,[status(thm)],[c_0_78, c_0_79])). 37.65/5.23 thf(c_0_82, negated_conjecture, ![X4:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ X4))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_80, c_0_52])). 37.65/5.23 thf(c_0_83, negated_conjecture, ((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))=(c_2Ebool_2ET)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_81]), c_0_47]), c_0_47])])). 37.65/5.23 thf(c_0_84, negated_conjecture, ~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_79]), c_0_81]), c_0_81])])). 37.65/5.23 thf(c_0_85, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_22]), c_0_47])]), c_0_84]), ['proof']). 37.65/5.23 # SZS output end CNFRefutation 37.65/5.23 # Parsed axioms : 83 37.65/5.23 # Removed by relevancy pruning/SinE : 0 37.65/5.23 # Initial clauses : 325 37.65/5.23 # Removed in clause preprocessing : 244 37.65/5.23 # Initial clauses in saturation : 81 37.65/5.23 # Processed clauses : 18459 37.65/5.23 # ...of these trivial : 164 37.65/5.23 # ...subsumed : 15081 37.65/5.23 # ...remaining for further processing : 3214 37.65/5.23 # Other redundant clauses eliminated : 154 37.65/5.23 # Clauses deleted for lack of memory : 0 37.65/5.23 # Backward-subsumed : 321 37.65/5.23 # Backward-rewritten : 484 37.65/5.23 # Generated clauses : 217338 37.65/5.23 # ...of the previous two non-redundant : 191391 37.65/5.23 # ...aggressively subsumed : 0 37.65/5.23 # Contextual simplify-reflections : 83 37.65/5.23 # Paramodulations : 217019 37.65/5.23 # Factorizations : 99 37.65/5.23 # NegExts : 0 37.65/5.23 # Equation resolutions : 155 37.65/5.23 # Total rewrite steps : 139841 37.65/5.23 # Propositional unsat checks : 0 37.65/5.23 # Propositional check models : 0 37.65/5.23 # Propositional check unsatisfiable : 0 37.65/5.23 # Propositional clauses : 0 37.65/5.23 # Propositional clauses after purity: 0 37.65/5.23 # Propositional unsat core size : 0 37.65/5.23 # Propositional preprocessing time : 0.000 37.65/5.23 # Propositional encoding time : 0.000 37.65/5.23 # Propositional solver time : 0.000 37.65/5.23 # Success case prop preproc time : 0.000 37.65/5.23 # Success case prop encoding time : 0.000 37.65/5.23 # Success case prop solver time : 0.000 37.65/5.23 # Current number of processed clauses : 2316 37.65/5.23 # Positive orientable unit clauses : 87 37.65/5.23 # Positive unorientable unit clauses: 0 37.65/5.23 # Negative unit clauses : 3 37.65/5.23 # Non-unit-clauses : 2226 37.65/5.23 # Current number of unprocessed clauses: 172012 37.65/5.23 # ...number of literals in the above : 857278 37.65/5.23 # Current number of archived formulas : 0 37.65/5.23 # Current number of archived clauses : 897 37.65/5.23 # Clause-clause subsumption calls (NU) : 1168597 37.65/5.23 # Rec. Clause-clause subsumption calls : 323545 37.65/5.23 # Non-unit clause-clause subsumptions : 13307 37.65/5.23 # Unit Clause-clause subsumption calls : 24730 37.65/5.23 # Rewrite failures with RHS unbound : 0 37.65/5.23 # BW rewrite match attempts : 1513 37.65/5.23 # BW rewrite match successes : 47 37.65/5.23 # Condensation attempts : 18460 37.65/5.23 # Condensation successes : 293 37.65/5.23 # Termbank termtop insertions : 7535481 37.65/5.23 37.65/5.23 # ------------------------------------------------- 37.65/5.23 # User time : 4.652 s 37.65/5.23 # System time : 0.097 s 37.65/5.23 # Total time : 4.749 s 37.65/5.23 # Maximum resident set size: 2576 pages 37.87/5.30 37.87/5.30 # ------------------------------------------------- 37.87/5.30 # User time : 4.655 s 37.87/5.30 # System time : 0.099 s 37.87/5.30 # Total time : 4.754 s 37.87/5.30 # Maximum resident set size: 1844 pages 37.87/5.30 % E---3.1 exiting 37.87/5.30 EOF