0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.09/0.29 % Computer : n003.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 1920 0.09/0.29 % WCLimit : 240 0.09/0.29 % DateTime : Wed Jul 30 09:25:04 EDT 2025 0.14/0.29 % CPUTime : 0.14/0.40 Running higher-order theorem proving 0.14/0.42 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.KZHZR8u5Qb/E---3.1_32421.p 81.71/10.72 # Version: 3.0.0-ho 81.71/10.72 # Preprocessing class: HSLSSMSMSSSNSFA. 81.71/10.72 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 81.71/10.72 # Starting new_ho_10 with 720s (3) cores 81.71/10.72 # Starting sh2lt with 240s (1) cores 81.71/10.72 # Starting new_ho_5 with 240s (1) cores 81.71/10.72 # Starting full_lambda_5 with 240s (1) cores 81.71/10.72 # Starting sh9 with 240s (1) cores 81.71/10.72 # Starting ehoh_best8_lambda with 240s (1) cores 81.71/10.72 # full_lambda_5 with pid 32504 completed with status 0 81.71/10.72 # Result found by full_lambda_5 81.71/10.72 # Preprocessing class: HSLSSMSMSSSNSFA. 81.71/10.72 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 81.71/10.72 # Starting new_ho_10 with 720s (3) cores 81.71/10.72 # Starting sh2lt with 240s (1) cores 81.71/10.72 # Starting new_ho_5 with 240s (1) cores 81.71/10.72 # Starting full_lambda_5 with 240s (1) cores 81.71/10.72 # No SInE strategy applied 81.71/10.72 # Search class: HGHSM-FFMM31-DSFFFFBN 81.71/10.72 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 81.71/10.72 # Starting sh5 with 130s (1) cores 81.71/10.72 # sh5 with pid 32509 completed with status 0 81.71/10.72 # Result found by sh5 81.71/10.72 # Preprocessing class: HSLSSMSMSSSNSFA. 81.71/10.72 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 81.71/10.72 # Starting new_ho_10 with 720s (3) cores 81.71/10.72 # Starting sh2lt with 240s (1) cores 81.71/10.72 # Starting new_ho_5 with 240s (1) cores 81.71/10.72 # Starting full_lambda_5 with 240s (1) cores 81.71/10.72 # No SInE strategy applied 81.71/10.72 # Search class: HGHSM-FFMM31-DSFFFFBN 81.71/10.72 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 81.71/10.72 # Starting sh5 with 130s (1) cores 81.71/10.72 # Preprocessing time : 0.002 s 81.71/10.72 # Presaturation interreduction done 81.71/10.72 81.71/10.72 # Proof found! 81.71/10.72 # SZS status Theorem 81.71/10.72 # SZS output start CNFRefutation 81.71/10.72 thf(decl_sort1, type, del: $tType). 81.71/10.72 thf(decl_sort2, type, tp__ty_2Eextreal_2Eextreal: $tType). 81.71/10.72 thf(decl_23, type, bool: del). 81.71/10.72 thf(decl_25, type, arr: del > del > del). 81.71/10.72 thf(decl_26, type, mem: $i > del > $o). 81.71/10.72 thf(decl_27, type, ap: $i > $i > $i). 81.71/10.72 thf(decl_29, type, p: $i > $o). 81.71/10.72 thf(decl_30, type, inj__o: $o > $i). 81.71/10.72 thf(decl_31, type, c_2Ebool_2ET: $i). 81.71/10.72 thf(decl_32, type, ty_2Eextreal_2Eextreal: del). 81.71/10.72 thf(decl_33, type, inj__ty_2Eextreal_2Eextreal: tp__ty_2Eextreal_2Eextreal > $i). 81.71/10.72 thf(decl_34, type, surj__ty_2Eextreal_2Eextreal: $i > tp__ty_2Eextreal_2Eextreal). 81.71/10.72 thf(decl_35, type, c_2Eextreal_2Eextreal__le: $i). 81.71/10.72 thf(decl_36, type, c_2Ebool_2ECOND: del > $i). 81.71/10.72 thf(decl_37, type, c_2Eextreal_2Eextreal__max: $i). 81.71/10.72 thf(decl_38, type, fo__c_2Eextreal_2Eextreal__max: tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal). 81.71/10.72 thf(decl_39, type, c_2Ebool_2EF: $i). 81.71/10.72 thf(decl_43, type, c_2Ebool_2E_7E: $i). 81.71/10.72 thf(decl_54, type, esk4_0: tp__ty_2Eextreal_2Eextreal). 81.71/10.72 thf(decl_55, type, esk5_0: tp__ty_2Eextreal_2Eextreal). 81.71/10.72 thf(decl_56, type, esk6_0: tp__ty_2Eextreal_2Eextreal). 81.71/10.72 thf(stp_iso_mem_o, axiom, ![X4:$i]:(((mem @ X4 @ bool)=>((X4)=(inj__o @ ((p @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', stp_iso_mem_o)). 81.71/10.72 thf(ap_tp, axiom, ![X1:del, X2:del, X6:$i]:((![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X6 @ X4) @ X2)))<=(mem @ X6 @ (arr @ X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', ap_tp)). 81.71/10.72 thf(ax_false_p, axiom, ~((p @ c_2Ebool_2EF)), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', ax_false_p)). 81.71/10.72 thf(stp_inj_surj_ty_2Eextreal_2Eextreal, axiom, ![X26:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X26))=(X26))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', stp_inj_surj_ty_2Eextreal_2Eextreal)). 81.71/10.72 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/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', stp_eq_fo_c_2Eextreal_2Eextreal__max)). 81.71/10.72 thf(mem_c_2Ebool_2ET, axiom, (mem @ c_2Ebool_2ET @ bool), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', mem_c_2Ebool_2ET)). 81.71/10.72 thf(ax_true_p, axiom, (p @ c_2Ebool_2ET), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', ax_true_p)). 81.71/10.72 thf(mem_c_2Eextreal_2Eextreal__le, axiom, (mem @ c_2Eextreal_2Eextreal__le @ (arr @ ty_2Eextreal_2Eextreal @ (arr @ ty_2Eextreal_2Eextreal @ bool))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', mem_c_2Eextreal_2Eextreal__le)). 81.71/10.72 thf(mem_c_2Ebool_2EF, axiom, (mem @ c_2Ebool_2EF @ bool), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', mem_c_2Ebool_2EF)). 81.71/10.72 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/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', stp_iso_mem_ty_2Eextreal_2Eextreal)). 81.71/10.72 thf(ax_thm_2Eextreal_2Eextreal__max__def, axiom, ![X22:tp__ty_2Eextreal_2Eextreal, X23:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X22)) @ (inj__ty_2Eextreal_2Eextreal @ X23)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X22)) @ (inj__ty_2Eextreal_2Eextreal @ X23))) @ (inj__ty_2Eextreal_2Eextreal @ X23)) @ (inj__ty_2Eextreal_2Eextreal @ X22))))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', ax_thm_2Eextreal_2Eextreal__max__def)). 81.71/10.72 thf(conj_thm_2Eextreal_2Ele__trans, axiom, ![X22:tp__ty_2Eextreal_2Eextreal, X23:tp__ty_2Eextreal_2Eextreal, X27:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X22)) @ (inj__ty_2Eextreal_2Eextreal @ X23)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X23)) @ (inj__ty_2Eextreal_2Eextreal @ X27))))=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X22)) @ (inj__ty_2Eextreal_2Eextreal @ X27))))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', conj_thm_2Eextreal_2Ele__trans)). 81.71/10.72 thf(conj_thm_2Eextreal_2Emax__le, conjecture, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal, X21:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X21)) @ (inj__ty_2Eextreal_2Eextreal @ X19))))<=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X21))) @ (inj__ty_2Eextreal_2Eextreal @ X19))))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', conj_thm_2Eextreal_2Emax__le)). 81.71/10.72 thf(stp_inj_mem_ty_2Eextreal_2Eextreal, axiom, ![X31:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X31) @ ty_2Eextreal_2Eextreal)), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', stp_inj_mem_ty_2Eextreal_2Eextreal)). 81.71/10.72 thf(mem_c_2Ebool_2E_7E, axiom, (mem @ c_2Ebool_2E_7E @ (arr @ bool @ bool)), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', mem_c_2Ebool_2E_7E)). 81.71/10.72 thf(conj_thm_2Eextreal_2Ele__total, axiom, ![X22:tp__ty_2Eextreal_2Eextreal, X23:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X22)) @ (inj__ty_2Eextreal_2Eextreal @ X23)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X23)) @ (inj__ty_2Eextreal_2Eextreal @ X22))))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', conj_thm_2Eextreal_2Ele__total)). 81.71/10.72 thf(conj_thm_2Ebool_2ECOND__CLAUSES, axiom, ![X25:del, X10:$i]:(((mem @ X10 @ X25)=>![X11:$i]:(((mem @ X11 @ X25)=>(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X25) @ c_2Ebool_2EF) @ X10) @ X11)=(X11))&((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X25) @ c_2Ebool_2ET) @ X10) @ X11)=(X10))))))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', conj_thm_2Ebool_2ECOND__CLAUSES)). 81.71/10.72 thf(ax_neg_p, axiom, ![X12:$i]:((((p @ (ap @ c_2Ebool_2E_7E @ X12))<=>~((p @ X12)))<=(mem @ X12 @ bool))), file('/export/starexec/sandbox2/tmp/tmp.KZHZR8u5Qb/E---3.1_32421.p', ax_neg_p)). 81.71/10.72 thf(c_0_18, axiom, ![X4:$i]:(((mem @ X4 @ bool)=>((~(p @ X4)|((X4)=(inj__o @ $true)))&((p @ X4)|((X4)=(inj__o @ $false)))))), inference(fool_unroll,[status(thm)],[stp_iso_mem_o])). 81.71/10.72 thf(c_0_19, plain, ![X1:del, X2:del, X6:$i]:(((mem @ X6 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X6 @ X4) @ X2))))), inference(fof_simplification,[status(thm)],[ap_tp])). 81.71/10.72 thf(c_0_20, plain, ~(p @ c_2Ebool_2EF), inference(fof_simplification,[status(thm)],[ax_false_p])). 81.71/10.72 thf(c_0_21, plain, ![X132:$i]:(((~(p @ X132)|((X132)=(inj__o @ $true))|~(mem @ X132 @ bool))&((p @ X132)|((X132)=(inj__o @ $false))|~(mem @ X132 @ bool)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])). 81.71/10.72 thf(c_0_22, plain, ![X137:del, X138:del, X139:$i, X140:$i]:((~(mem @ X139 @ (arr @ X137 @ X138))|(~(mem @ X140 @ X137)|(mem @ (ap @ X139 @ X140) @ X138)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])). 81.71/10.72 thf(c_0_23, plain, ~(p @ c_2Ebool_2EF), inference(fof_nnf,[status(thm)],[c_0_20])). 81.71/10.72 thf(c_0_24, plain, ![X179:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X179))=(X179))), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Eextreal_2Eextreal])). 81.71/10.72 thf(c_0_25, plain, ![X184:tp__ty_2Eextreal_2Eextreal, X185:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X184 @ X185))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X184)) @ (inj__ty_2Eextreal_2Eextreal @ X185)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Eextreal_2Eextreal__max])). 81.71/10.72 thf(c_0_26, plain, ![X4:$i]:((((X4)=(inj__o @ (($true))))|~((p @ X4))|~((mem @ X4 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_21])). 81.71/10.72 thf(c_0_27, plain, (mem @ c_2Ebool_2ET @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET])). 81.71/10.72 thf(c_0_28, plain, (p @ c_2Ebool_2ET), inference(split_conjunct,[status(thm)],[ax_true_p])). 81.71/10.72 thf(c_0_29, plain, ![X4:$i, X6:$i, X2:del, X1:del]:(((mem @ (ap @ X4 @ X6) @ X2)|~((mem @ X4 @ (arr @ X1 @ X2)))|~((mem @ X6 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])). 81.71/10.72 thf(c_0_30, plain, (mem @ c_2Eextreal_2Eextreal__le @ (arr @ ty_2Eextreal_2Eextreal @ (arr @ ty_2Eextreal_2Eextreal @ bool))), inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2Eextreal__le])). 81.71/10.72 thf(c_0_31, plain, ![X4:$i]:(((p @ X4)|((X4)=(inj__o @ (~($true))))|~((mem @ X4 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_21])). 81.71/10.72 thf(c_0_32, plain, (mem @ c_2Ebool_2EF @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF])). 81.71/10.72 thf(c_0_33, plain, ~((p @ c_2Ebool_2EF)), inference(split_conjunct,[status(thm)],[c_0_23])). 81.71/10.72 thf(c_0_34, plain, ![X4:$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])). 81.71/10.72 thf(c_0_35, plain, ![X194:tp__ty_2Eextreal_2Eextreal, X195:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X194)) @ (inj__ty_2Eextreal_2Eextreal @ X195)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X194)) @ (inj__ty_2Eextreal_2Eextreal @ X195))) @ (inj__ty_2Eextreal_2Eextreal @ X195)) @ (inj__ty_2Eextreal_2Eextreal @ X194))))), inference(variable_rename,[status(thm)],[ax_thm_2Eextreal_2Eextreal__max__def])). 81.71/10.72 thf(c_0_36, plain, ![X19:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X19))=(X19))), inference(split_conjunct,[status(thm)],[c_0_24])). 81.71/10.72 thf(c_0_37, 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_25])). 81.71/10.72 thf(c_0_38, plain, ((inj__o @ (($true)))=(c_2Ebool_2ET)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])])). 81.71/10.72 thf(c_0_39, plain, ![X4:$i]:(((mem @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ (arr @ ty_2Eextreal_2Eextreal @ bool))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 81.71/10.72 thf(c_0_40, plain, ((inj__o @ (~($true)))=(c_2Ebool_2EF)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])). 81.71/10.72 thf(c_0_41, plain, ![X167:$i]:((~(mem @ X167 @ ty_2Eextreal_2Eextreal)|((X167)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X167))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])). 81.71/10.72 thf(c_0_42, 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_35])). 81.71/10.72 thf(c_0_43, 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_36, c_0_37])). 81.71/10.72 thf(c_0_44, plain, ![X4:$i]:((((X4)=(c_2Ebool_2ET))|~((mem @ X4 @ bool))|~((p @ X4)))), inference(rw,[status(thm)],[c_0_26, c_0_38])). 81.71/10.72 thf(c_0_45, plain, ![X6:$i, X4:$i]:(((mem @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6) @ bool)|~((mem @ X6 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_29, c_0_39])). 81.71/10.72 thf(c_0_46, plain, ![X4:$i]:((((X4)=(c_2Ebool_2EF))|(p @ X4)|~((mem @ X4 @ bool)))), inference(rw,[status(thm)],[c_0_31, c_0_40])). 81.71/10.72 thf(c_0_47, plain, ![X180:tp__ty_2Eextreal_2Eextreal, X181:tp__ty_2Eextreal_2Eextreal, X182:tp__ty_2Eextreal_2Eextreal]:((~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X180)) @ (inj__ty_2Eextreal_2Eextreal @ X181)))|~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X181)) @ (inj__ty_2Eextreal_2Eextreal @ X182)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X180)) @ (inj__ty_2Eextreal_2Eextreal @ X182))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__trans])])])). 81.71/10.72 thf(c_0_48, negated_conjecture, ~(![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal, X21:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X21)) @ (inj__ty_2Eextreal_2Eextreal @ X19))))<=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X21))) @ (inj__ty_2Eextreal_2Eextreal @ X19)))))), inference(assume_negation,[status(cth)],[conj_thm_2Eextreal_2Emax__le])). 81.71/10.72 thf(c_0_49, plain, ![X191:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X191) @ ty_2Eextreal_2Eextreal)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Eextreal_2Eextreal])). 81.71/10.72 thf(c_0_50, plain, ![X4:$i]:((((X4)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(split_conjunct,[status(thm)],[c_0_41])). 81.71/10.72 thf(c_0_51, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))) @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))=(fo__c_2Eextreal_2Eextreal__max @ X19 @ X20))), inference(rw,[status(thm)],[c_0_42, c_0_43])). 81.71/10.72 thf(c_0_52, plain, ![X6:$i, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)=(c_2Ebool_2ET))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)))|~((mem @ X6 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 81.71/10.72 thf(c_0_53, plain, ![X6:$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_46, c_0_45])). 81.71/10.72 thf(c_0_54, plain, (mem @ c_2Ebool_2E_7E @ (arr @ bool @ bool)), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2E_7E])). 81.71/10.72 thf(c_0_55, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal, X21:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X21)))|~((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 @ X21)))))), inference(split_conjunct,[status(thm)],[c_0_47])). 81.71/10.72 thf(c_0_56, 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 @ (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))))&((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(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])])])). 81.71/10.72 thf(c_0_57, plain, ![X19:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X19) @ ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[c_0_49])). 81.71/10.72 thf(c_0_58, plain, ![X168:tp__ty_2Eextreal_2Eextreal, X169:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X168)) @ (inj__ty_2Eextreal_2Eextreal @ X169)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X169)) @ (inj__ty_2Eextreal_2Eextreal @ X168))))), inference(variable_rename,[status(thm)],[conj_thm_2Eextreal_2Ele__total])). 81.71/10.72 thf(c_0_59, 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_50, c_0_51]), c_0_37])). 81.71/10.72 thf(c_0_60, plain, ![X6:$i, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)=(c_2Ebool_2EF))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)=(c_2Ebool_2ET))|~((mem @ X6 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 81.71/10.72 thf(c_0_61, plain, ![X174:del, X175:$i, X176:$i]:(((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X174) @ c_2Ebool_2EF) @ X175) @ X176)=(X176))|~(mem @ X176 @ X174)|~(mem @ X175 @ X174))&(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X174) @ c_2Ebool_2ET) @ X175) @ X176)=(X175))|~(mem @ X176 @ X174)|~(mem @ X175 @ X174)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebool_2ECOND__CLAUSES])])])])])). 81.71/10.72 thf(c_0_62, plain, ![X4:$i]:(((mem @ (ap @ c_2Ebool_2E_7E @ X4) @ bool)|~((mem @ X4 @ bool)))), inference(spm,[status(thm)],[c_0_29, c_0_54])). 81.71/10.72 thf(c_0_63, 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)) @ X4))|~((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)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_55, c_0_50])). 81.71/10.72 thf(c_0_64, 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_56])). 81.71/10.72 thf(c_0_65, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal]:((mem @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_57, c_0_37])). 81.71/10.72 thf(c_0_66, 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_58])). 81.71/10.72 thf(c_0_67, 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_59, c_0_60]), c_0_57]), c_0_57])])). 81.71/10.72 thf(c_0_68, plain, ![X4:$i, X6:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2EF) @ X4) @ X6)=(X6))|~((mem @ X6 @ X1))|~((mem @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_61])). 81.71/10.72 thf(c_0_69, plain, ![X12:$i]:(((mem @ X12 @ bool)=>((p @ (ap @ c_2Ebool_2E_7E @ X12))<=>~(p @ X12)))), inference(fof_simplification,[status(thm)],[ax_neg_p])). 81.71/10.72 thf(c_0_70, plain, ![X4:$i]:((((ap @ c_2Ebool_2E_7E @ X4)=(c_2Ebool_2ET))|~((p @ (ap @ c_2Ebool_2E_7E @ X4)))|~((mem @ X4 @ bool)))), inference(spm,[status(thm)],[c_0_44, c_0_62])). 81.71/10.72 thf(c_0_71, plain, ![X4:$i]:((((ap @ c_2Ebool_2E_7E @ X4)=(c_2Ebool_2EF))|(p @ (ap @ c_2Ebool_2E_7E @ X4))|~((mem @ X4 @ bool)))), inference(spm,[status(thm)],[c_0_46, c_0_62])). 81.71/10.72 thf(c_0_72, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X21:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal, X4:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))) @ X4))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))) @ (inj__ty_2Eextreal_2Eextreal @ X21))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X21)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_63, c_0_37])). 81.71/10.72 thf(c_0_73, negated_conjecture, (((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))=(c_2Ebool_2ET))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_64]), c_0_57]), c_0_65])])). 81.71/10.72 thf(c_0_74, plain, ![X20:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))=(c_2Ebool_2EF))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X4))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X20)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_53]), c_0_57]), c_0_57])])). 81.71/10.72 thf(c_0_75, plain, ![X19:tp__ty_2Eextreal_2Eextreal]:((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))), inference(ef,[status(thm)],[c_0_66])). 81.71/10.72 thf(c_0_76, 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_56])). 81.71/10.72 thf(c_0_77, 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_67, c_0_68]), c_0_57]), c_0_57])])). 81.71/10.72 thf(c_0_78, plain, ![X193:$i]:(((~(p @ (ap @ c_2Ebool_2E_7E @ X193))|~(p @ X193)|~(mem @ X193 @ bool))&((p @ X193)|(p @ (ap @ c_2Ebool_2E_7E @ X193))|~(mem @ X193 @ bool)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])])). 81.71/10.72 thf(c_0_79, plain, ![X4:$i]:((((ap @ c_2Ebool_2E_7E @ X4)=(c_2Ebool_2EF))|((ap @ c_2Ebool_2E_7E @ X4)=(c_2Ebool_2ET))|~((mem @ X4 @ bool)))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 81.71/10.72 thf(c_0_80, negated_conjecture, ![X4:$i]:(((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))) @ X4))|(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 @ esk4_0)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_28])])). 81.71/10.72 thf(c_0_81, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))=(c_2Ebool_2EF))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_57])])). 81.71/10.72 thf(c_0_82, 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 @ (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_56])). 81.71/10.72 thf(c_0_83, 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_76, c_0_77])). 81.71/10.72 thf(c_0_84, plain, ![X4:$i]:((~((p @ (ap @ c_2Ebool_2E_7E @ X4)))|~((p @ X4))|~((mem @ X4 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_78])). 81.71/10.72 thf(c_0_85, plain, ![X4:$i]:((((ap @ c_2Ebool_2E_7E @ X4)=(c_2Ebool_2ET))|((c_2Ebool_2EF)!=(c_2Ebool_2ET))|~((mem @ X4 @ bool)))), inference(ef,[status(thm)],[c_0_79])). 81.71/10.72 thf(c_0_86, negated_conjecture, ![X19:tp__ty_2Eextreal_2Eextreal, X4:$i]:(((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))) @ X4))|(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 @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ X19))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_80]), c_0_57])])). 81.71/10.72 thf(c_0_87, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X4)=(c_2Ebool_2EF))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X4))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_81, c_0_50])). 81.71/10.72 thf(c_0_88, negated_conjecture, (((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))=(c_2Ebool_2ET))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_77]), c_0_83])). 81.71/10.72 thf(c_0_89, plain, ![X4:$i]:((((c_2Ebool_2EF)!=(c_2Ebool_2ET))|~((mem @ X4 @ bool))|~((p @ X4)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_85]), c_0_28])])). 81.71/10.72 thf(c_0_90, negated_conjecture, ![X19:tp__ty_2Eextreal_2Eextreal, X4:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ X19))=(c_2Ebool_2EF))|(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))) @ X4))|(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 @ X19)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_57])])). 81.71/10.72 thf(c_0_91, 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 @ esk4_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)))), inference(spm,[status(thm)],[c_0_88, c_0_66])). 81.71/10.72 thf(c_0_92, plain, ![X19:tp__ty_2Eextreal_2Eextreal]:(((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X19))=(c_2Ebool_2ET))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_60]), c_0_57])]), c_0_33])). 81.71/10.72 thf(c_0_93, plain, ((c_2Ebool_2EF)!=(c_2Ebool_2ET)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_27]), c_0_28])])). 81.71/10.72 thf(c_0_94, 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 @ (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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_92]), c_0_57])]), c_0_93]), c_0_88])). 81.71/10.72 thf(c_0_95, 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_51, c_0_50])). 81.71/10.72 thf(c_0_96, 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 @ esk6_0)))), inference(spm,[status(thm)],[c_0_94, c_0_77])). 81.71/10.72 thf(c_0_97, plain, ![X20:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal, X4:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ (inj__ty_2Eextreal_2Eextreal @ X20))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_55, c_0_50])). 81.71/10.72 thf(c_0_98, plain, ![X4:$i, X6:$i]:((((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X4) @ X6)) @ X6) @ X4))=(fo__c_2Eextreal_2Eextreal__max @ (surj__ty_2Eextreal_2Eextreal @ X4) @ (surj__ty_2Eextreal_2Eextreal @ X6)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal))|~((mem @ X6 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_95, c_0_50])). 81.71/10.72 thf(c_0_99, negated_conjecture, ((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))=(c_2Ebool_2ET)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_96]), c_0_57]), c_0_57])])). 81.71/10.72 thf(c_0_100, negated_conjecture, ![X19:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_64]), c_0_65])])). 81.71/10.72 thf(c_0_101, negated_conjecture, ((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ c_2Ebool_2ET) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)))=(fo__c_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_36]), c_0_36]), c_0_57]), c_0_57])])). 81.71/10.72 thf(c_0_102, plain, ![X4:$i, X6:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2ET) @ X4) @ X6)=(X4))|~((mem @ X6 @ X1))|~((mem @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_61])). 81.71/10.72 thf(c_0_103, negated_conjecture, ![X19:tp__ty_2Eextreal_2Eextreal, X20:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X20))) @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))))))), inference(spm,[status(thm)],[c_0_100, c_0_37])). 81.71/10.72 thf(c_0_104, negated_conjecture, ((fo__c_2Eextreal_2Eextreal__max @ esk5_0 @ esk6_0)=(esk6_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_36]), c_0_57]), c_0_57])])). 81.71/10.72 thf(c_0_105, negated_conjecture, ![X19:tp__ty_2Eextreal_2Eextreal, X4:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X4)) @ (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 @ X19)) @ X4)) @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)))))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_103, c_0_50])). 81.71/10.72 thf(c_0_106, 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_37, c_0_104])). 81.71/10.72 thf(c_0_107, negated_conjecture, ![X6:$i, X4:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ X4) @ X6)) @ (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 @ X4) @ X6)) @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)))))|~((mem @ X6 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_105, c_0_50])). 81.71/10.72 thf(c_0_108, plain, ![X4:$i, X19:tp__ty_2Eextreal_2Eextreal, X6:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X4))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ X6)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X6) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal))|~((mem @ X6 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_63, c_0_50])). 81.71/10.72 thf(c_0_109, 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))))), inference(spm,[status(thm)],[c_0_82, c_0_106])). 81.71/10.72 thf(c_0_110, negated_conjecture, (p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_106]), c_0_106]), c_0_92]), c_0_28]), c_0_57]), c_0_57])])). 81.71/10.72 thf(c_0_111, negated_conjecture, ![X4:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ X4))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_99]), c_0_28]), c_0_57])])). 81.71/10.72 thf(c_0_112, negated_conjecture, ~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109, c_0_110])])). 81.71/10.72 thf(c_0_113, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_110]), c_0_57])]), c_0_112]), ['proof']). 81.71/10.72 # SZS output end CNFRefutation 81.71/10.72 # Parsed axioms : 83 81.71/10.72 # Removed by relevancy pruning/SinE : 0 81.71/10.72 # Initial clauses : 364 81.71/10.72 # Removed in clause preprocessing : 283 81.71/10.72 # Initial clauses in saturation : 81 81.71/10.72 # Processed clauses : 23621 81.71/10.72 # ...of these trivial : 221 81.71/10.72 # ...subsumed : 19318 81.71/10.72 # ...remaining for further processing : 4081 81.71/10.72 # Other redundant clauses eliminated : 161 81.71/10.72 # Clauses deleted for lack of memory : 0 81.71/10.72 # Backward-subsumed : 540 81.71/10.72 # Backward-rewritten : 474 81.71/10.72 # Generated clauses : 346688 81.71/10.72 # ...of the previous two non-redundant : 310177 81.71/10.72 # ...aggressively subsumed : 0 81.71/10.72 # Contextual simplify-reflections : 117 81.71/10.72 # Paramodulations : 346358 81.71/10.72 # Factorizations : 109 81.71/10.72 # NegExts : 0 81.71/10.72 # Equation resolutions : 162 81.71/10.72 # Disequality decompositions : 0 81.71/10.72 # Total rewrite steps : 187457 81.71/10.72 # ...of those cached : 186339 81.71/10.72 # Propositional unsat checks : 0 81.71/10.72 # Propositional check models : 0 81.71/10.72 # Propositional check unsatisfiable : 0 81.71/10.72 # Propositional clauses : 0 81.71/10.72 # Propositional clauses after purity: 0 81.71/10.72 # Propositional unsat core size : 0 81.71/10.72 # Propositional preprocessing time : 0.000 81.71/10.72 # Propositional encoding time : 0.000 81.71/10.72 # Propositional solver time : 0.000 81.71/10.72 # Success case prop preproc time : 0.000 81.71/10.72 # Success case prop encoding time : 0.000 81.71/10.72 # Success case prop solver time : 0.000 81.71/10.72 # Current number of processed clauses : 2975 81.71/10.72 # Positive orientable unit clauses : 100 81.71/10.72 # Positive unorientable unit clauses: 0 81.71/10.72 # Negative unit clauses : 3 81.71/10.72 # Non-unit-clauses : 2872 81.71/10.72 # Current number of unprocessed clauses: 285155 81.71/10.72 # ...number of literals in the above : 1425647 81.71/10.72 # Current number of archived formulas : 0 81.71/10.72 # Current number of archived clauses : 1105 81.71/10.72 # Clause-clause subsumption calls (NU) : 1593640 81.71/10.72 # Rec. Clause-clause subsumption calls : 379573 81.71/10.72 # Non-unit clause-clause subsumptions : 17753 81.71/10.72 # Unit Clause-clause subsumption calls : 26257 81.71/10.72 # Rewrite failures with RHS unbound : 0 81.71/10.72 # BW rewrite match attempts : 1842 81.71/10.72 # BW rewrite match successes : 46 81.71/10.72 # Condensation attempts : 23622 81.71/10.72 # Condensation successes : 878 81.71/10.72 # Termbank termtop insertions : 12116069 81.71/10.72 # Search garbage collected termcells : 4468 81.71/10.72 81.71/10.72 # ------------------------------------------------- 81.71/10.72 # User time : 9.993 s 81.71/10.72 # System time : 0.201 s 81.71/10.72 # Total time : 10.194 s 81.71/10.72 # Maximum resident set size: 2584 pages 81.71/10.72 81.71/10.72 # ------------------------------------------------- 81.71/10.72 # User time : 9.997 s 81.71/10.72 # System time : 0.202 s 81.71/10.72 # Total time : 10.199 s 81.71/10.72 # Maximum resident set size: 1848 pages 81.71/10.72 % E exiting 81.71/10.72 % E exiting 81.71/10.72 EOF