0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n027.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 10:38:39 EDT 2024 0.12/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.49 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=180 /export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p 46.44/6.35 # Version: 3.2.0-ho 46.44/6.35 # Preprocessing class: HSLSSMSMSSSNSFA. 46.44/6.35 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 46.44/6.35 # Starting new_ho_10 with 540s (3) cores 46.44/6.35 # Starting sh2lt with 180s (1) cores 46.44/6.35 # Starting new_ho_5 with 180s (1) cores 46.44/6.35 # Starting full_lambda_5 with 180s (1) cores 46.44/6.35 # Starting sh9 with 180s (1) cores 46.44/6.35 # Starting ehoh_best8_lambda with 180s (1) cores 46.44/6.35 # ehoh_best8_lambda with pid 1818 completed with status 0 46.44/6.35 # Result found by ehoh_best8_lambda 46.44/6.35 # Preprocessing class: HSLSSMSMSSSNSFA. 46.44/6.35 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 46.44/6.35 # Starting new_ho_10 with 540s (3) cores 46.44/6.35 # Starting sh2lt with 180s (1) cores 46.44/6.35 # Starting new_ho_5 with 180s (1) cores 46.44/6.35 # Starting full_lambda_5 with 180s (1) cores 46.44/6.35 # Starting sh9 with 180s (1) cores 46.44/6.35 # Starting ehoh_best8_lambda with 180s (1) cores 46.44/6.35 # No SInE strategy applied 46.44/6.35 # Search class: HGHSM-FFMM31-DSFFFFBN 46.44/6.35 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 46.44/6.35 # Starting sh5 with 109s (1) cores 46.44/6.35 # sh5 with pid 1829 completed with status 0 46.44/6.35 # Result found by sh5 46.44/6.35 # Preprocessing class: HSLSSMSMSSSNSFA. 46.44/6.35 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 46.44/6.35 # Starting new_ho_10 with 540s (3) cores 46.44/6.35 # Starting sh2lt with 180s (1) cores 46.44/6.35 # Starting new_ho_5 with 180s (1) cores 46.44/6.35 # Starting full_lambda_5 with 180s (1) cores 46.44/6.35 # Starting sh9 with 180s (1) cores 46.44/6.35 # Starting ehoh_best8_lambda with 180s (1) cores 46.44/6.35 # No SInE strategy applied 46.44/6.35 # Search class: HGHSM-FFMM31-DSFFFFBN 46.44/6.35 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 46.44/6.35 # Starting sh5 with 109s (1) cores 46.44/6.35 # Preprocessing time : 0.003 s 46.44/6.35 # Presaturation interreduction done 46.44/6.35 46.44/6.35 # Proof found! 46.44/6.35 # SZS status Theorem 46.44/6.35 # SZS output start CNFRefutation 46.44/6.35 thf(decl_sort1, type, del: $tType). 46.44/6.35 thf(decl_sort2, type, tp__ty_2Eextreal_2Eextreal: $tType). 46.44/6.35 thf(decl_22, type, bool: del). 46.44/6.35 thf(decl_24, type, arr: del > del > del). 46.44/6.35 thf(decl_25, type, mem: $i > del > $o). 46.44/6.35 thf(decl_26, type, ap: $i > $i > $i). 46.44/6.35 thf(decl_28, type, p: $i > $o). 46.44/6.35 thf(decl_29, type, inj__o: $o > $i). 46.44/6.35 thf(decl_30, type, c_2Ebool_2ET: $i). 46.44/6.35 thf(decl_31, type, ty_2Eextreal_2Eextreal: del). 46.44/6.35 thf(decl_32, type, inj__ty_2Eextreal_2Eextreal: tp__ty_2Eextreal_2Eextreal > $i). 46.44/6.35 thf(decl_33, type, surj__ty_2Eextreal_2Eextreal: $i > tp__ty_2Eextreal_2Eextreal). 46.44/6.35 thf(decl_34, type, c_2Eextreal_2Eextreal__le: $i). 46.44/6.35 thf(decl_35, type, c_2Ebool_2ECOND: del > $i). 46.44/6.35 thf(decl_36, type, c_2Eextreal_2Eextreal__max: $i). 46.44/6.35 thf(decl_37, type, fo__c_2Eextreal_2Eextreal__max: tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal). 46.44/6.35 thf(decl_38, type, c_2Ebool_2EF: $i). 46.44/6.35 thf(decl_53, type, esk4_0: tp__ty_2Eextreal_2Eextreal). 46.44/6.35 thf(decl_54, type, esk5_0: tp__ty_2Eextreal_2Eextreal). 46.44/6.35 thf(decl_55, type, esk6_0: tp__ty_2Eextreal_2Eextreal). 46.44/6.35 thf(stp_iso_mem_o, axiom, ![X4:$i]:(((mem @ X4 @ bool)=>((X4)=(inj__o @ ((p @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', stp_iso_mem_o)). 46.44/6.35 thf(ap_tp, axiom, ![X1:del, X2:del, X3:$i]:((![X4:$i]:(((mem @ (ap @ X3 @ X4) @ X2)<=(mem @ X4 @ X1)))<=(mem @ X3 @ (arr @ X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', ap_tp)). 46.44/6.35 thf(ax_false_p, axiom, ~((p @ c_2Ebool_2EF)), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', ax_false_p)). 46.44/6.35 thf(stp_inj_surj_ty_2Eextreal_2Eextreal, axiom, ![X22:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X22))=(X22))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', stp_inj_surj_ty_2Eextreal_2Eextreal)). 46.44/6.35 thf(stp_eq_fo_c_2Eextreal_2Eextreal__max, axiom, ![X33:tp__ty_2Eextreal_2Eextreal, X34:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X33 @ X34))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X33)) @ (inj__ty_2Eextreal_2Eextreal @ X34)))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', stp_eq_fo_c_2Eextreal_2Eextreal__max)). 46.44/6.35 thf(mem_c_2Ebool_2ET, axiom, (mem @ c_2Ebool_2ET @ bool), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', mem_c_2Ebool_2ET)). 46.44/6.35 thf(ax_true_p, axiom, (p @ c_2Ebool_2ET), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', ax_true_p)). 46.44/6.35 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.2xWpOUudfC/E---3.1_1728.p', mem_c_2Eextreal_2Eextreal__le)). 46.44/6.35 thf(mem_c_2Ebool_2EF, axiom, (mem @ c_2Ebool_2EF @ bool), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', mem_c_2Ebool_2EF)). 46.44/6.35 thf(ax_thm_2Eextreal_2Eextreal__max__def, axiom, ![X18:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X18))))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', ax_thm_2Eextreal_2Eextreal__max__def)). 46.44/6.35 thf(stp_iso_mem_ty_2Eextreal_2Eextreal, axiom, ![X4:$i]:(((mem @ X4 @ ty_2Eextreal_2Eextreal)=>((X4)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', stp_iso_mem_ty_2Eextreal_2Eextreal)). 46.44/6.35 thf(stp_inj_mem_ty_2Eextreal_2Eextreal, axiom, ![X26:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X26) @ ty_2Eextreal_2Eextreal)), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', stp_inj_mem_ty_2Eextreal_2Eextreal)). 46.44/6.35 thf(conj_thm_2Ebool_2ECOND__CLAUSES, axiom, ![X10:del, X14:$i]:((![X15:$i]:(((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X10) @ c_2Ebool_2ET) @ X14) @ X15)=(X14))&((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X10) @ c_2Ebool_2EF) @ X14) @ X15)=(X15)))<=(mem @ X15 @ X10)))<=(mem @ X14 @ X10))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', conj_thm_2Ebool_2ECOND__CLAUSES)). 46.44/6.35 thf(conj_thm_2Eextreal_2Ele__trans, axiom, ![X18:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal, X32:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X32)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))))=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X32))))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', conj_thm_2Eextreal_2Ele__trans)). 46.44/6.35 thf(conj_thm_2Eextreal_2Ele__total, axiom, ![X18: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 @ X18)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', conj_thm_2Eextreal_2Ele__total)). 46.44/6.35 thf(conj_thm_2Eextreal_2Emax__le, conjecture, ![X27:tp__ty_2Eextreal_2Eextreal, X28:tp__ty_2Eextreal_2Eextreal, X29:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X29)) @ (inj__ty_2Eextreal_2Eextreal @ X27)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X28)) @ (inj__ty_2Eextreal_2Eextreal @ X27))))<=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X28)) @ (inj__ty_2Eextreal_2Eextreal @ X29))) @ (inj__ty_2Eextreal_2Eextreal @ X27))))), file('/export/starexec/sandbox2/tmp/tmp.2xWpOUudfC/E---3.1_1728.p', conj_thm_2Eextreal_2Emax__le)). 46.44/6.35 thf(c_0_16, axiom, ![X4:$i]:(((mem @ X4 @ bool)=>((~(p @ X4)|((X4)=(inj__o @ $true)))&((p @ X4)|((X4)=(inj__o @ $false)))))), inference(fool_unroll,[status(thm)],[stp_iso_mem_o])). 46.44/6.35 thf(c_0_17, plain, ![X1:del, X2:del, X3:$i]:(((mem @ X3 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X3 @ X4) @ X2))))), inference(fof_simplification,[status(thm)],[ap_tp])). 46.44/6.35 thf(c_0_18, plain, ~(p @ c_2Ebool_2EF), inference(fof_simplification,[status(thm)],[ax_false_p])). 46.44/6.35 thf(c_0_19, plain, ![X132:$i]:(((~(p @ X132)|((X132)=(inj__o @ $true))|~(mem @ X132 @ bool))&((p @ X132)|((X132)=(inj__o @ $false))|~(mem @ X132 @ bool)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])). 46.44/6.35 thf(c_0_20, plain, ![X128:del, X129:del, X130:$i, X131:$i]:((~(mem @ X130 @ (arr @ X128 @ X129))|(~(mem @ X131 @ X128)|(mem @ (ap @ X130 @ X131) @ X129)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])). 46.44/6.35 thf(c_0_21, plain, ~(p @ c_2Ebool_2EF), inference(fof_nnf,[status(thm)],[c_0_18])). 46.44/6.35 thf(c_0_22, plain, ![X174:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X174))=(X174))), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Eextreal_2Eextreal])). 46.44/6.35 thf(c_0_23, plain, ![X216:tp__ty_2Eextreal_2Eextreal, X217:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X216 @ X217))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X216)) @ (inj__ty_2Eextreal_2Eextreal @ X217)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Eextreal_2Eextreal__max])). 46.44/6.35 thf(c_0_24, plain, ![X3:$i]:((((X3)=(inj__o @ (($true))))|~((p @ X3))|~((mem @ X3 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_19])). 46.44/6.35 thf(c_0_25, plain, (mem @ c_2Ebool_2ET @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET])). 46.44/6.35 thf(c_0_26, plain, (p @ c_2Ebool_2ET), inference(split_conjunct,[status(thm)],[ax_true_p])). 46.44/6.35 thf(c_0_27, plain, ![X2:del, X4:$i, X3:$i, X1:del]:(((mem @ (ap @ X3 @ X4) @ X2)|~((mem @ X3 @ (arr @ X1 @ X2)))|~((mem @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_20])). 46.44/6.35 thf(c_0_28, plain, (mem @ c_2Eextreal_2Eextreal__le @ (arr @ ty_2Eextreal_2Eextreal @ (arr @ ty_2Eextreal_2Eextreal @ bool))), inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2Eextreal__le])). 46.44/6.35 thf(c_0_29, plain, ![X3:$i]:(((p @ X3)|((X3)=(inj__o @ (~($true))))|~((mem @ X3 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_19])). 46.44/6.35 thf(c_0_30, plain, (mem @ c_2Ebool_2EF @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF])). 46.44/6.35 thf(c_0_31, plain, ~((p @ c_2Ebool_2EF)), inference(split_conjunct,[status(thm)],[c_0_21])). 46.44/6.35 thf(c_0_32, plain, ![X196:tp__ty_2Eextreal_2Eextreal, X197:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X196)) @ (inj__ty_2Eextreal_2Eextreal @ X197)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X196)) @ (inj__ty_2Eextreal_2Eextreal @ X197))) @ (inj__ty_2Eextreal_2Eextreal @ X197)) @ (inj__ty_2Eextreal_2Eextreal @ X196))))), inference(variable_rename,[status(thm)],[ax_thm_2Eextreal_2Eextreal__max__def])). 46.44/6.35 thf(c_0_33, plain, ![X18:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (inj__ty_2Eextreal_2Eextreal @ X18))=(X18))), inference(split_conjunct,[status(thm)],[c_0_22])). 46.44/6.35 thf(c_0_34, plain, ![X18:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:(((inj__ty_2Eextreal_2Eextreal @ (fo__c_2Eextreal_2Eextreal__max @ X18 @ X19))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))), inference(split_conjunct,[status(thm)],[c_0_23])). 46.44/6.35 thf(c_0_35, plain, ((inj__o @ (($true)))=(c_2Ebool_2ET)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])])). 46.44/6.35 thf(c_0_36, plain, ![X3:$i]:(((mem @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ (arr @ ty_2Eextreal_2Eextreal @ bool))|~((mem @ X3 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 46.44/6.35 thf(c_0_37, plain, ((inj__o @ (~($true)))=(c_2Ebool_2EF)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])). 46.44/6.35 thf(c_0_38, plain, ![X156:$i]:((~(mem @ X156 @ ty_2Eextreal_2Eextreal)|((X156)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X156))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Eextreal_2Eextreal])])])). 46.44/6.35 thf(c_0_39, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X18:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))=(surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X18))))), inference(split_conjunct,[status(thm)],[c_0_32])). 46.44/6.35 thf(c_0_40, plain, ![X18:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:(((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))=(fo__c_2Eextreal_2Eextreal__max @ X18 @ X19))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 46.44/6.35 thf(c_0_41, plain, ![X3:$i]:((((X3)=(c_2Ebool_2ET))|~((mem @ X3 @ bool))|~((p @ X3)))), inference(rw,[status(thm)],[c_0_24, c_0_35])). 46.44/6.35 thf(c_0_42, plain, ![X4:$i, X3:$i]:(((mem @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ X4) @ bool)|~((mem @ X4 @ ty_2Eextreal_2Eextreal))|~((mem @ X3 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_27, c_0_36])). 46.44/6.35 thf(c_0_43, plain, ![X3:$i]:((((X3)=(c_2Ebool_2EF))|(p @ X3)|~((mem @ X3 @ bool)))), inference(rw,[status(thm)],[c_0_29, c_0_37])). 46.44/6.35 thf(c_0_44, plain, ![X3:$i]:((((X3)=(inj__ty_2Eextreal_2Eextreal @ (surj__ty_2Eextreal_2Eextreal @ X3)))|~((mem @ X3 @ ty_2Eextreal_2Eextreal)))), inference(split_conjunct,[status(thm)],[c_0_38])). 46.44/6.35 thf(c_0_45, plain, ![X18:tp__ty_2Eextreal_2Eextreal, X19: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 @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X18)))=(fo__c_2Eextreal_2Eextreal__max @ X18 @ X19))), inference(rw,[status(thm)],[c_0_39, c_0_40])). 46.44/6.35 thf(c_0_46, plain, ![X4:$i, X3:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ X4)=(c_2Ebool_2ET))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ X4)))|~((mem @ X4 @ ty_2Eextreal_2Eextreal))|~((mem @ X3 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 46.44/6.35 thf(c_0_47, plain, ![X4:$i, X3:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ X4)=(c_2Ebool_2EF))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ X4))|~((mem @ X4 @ ty_2Eextreal_2Eextreal))|~((mem @ X3 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_43, c_0_42])). 46.44/6.35 thf(c_0_48, plain, ![X181:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X181) @ ty_2Eextreal_2Eextreal)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Eextreal_2Eextreal])). 46.44/6.35 thf(c_0_49, plain, ![X10:del, X14:$i]:(((mem @ X14 @ X10)=>![X15:$i]:(((mem @ X15 @ X10)=>(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X10) @ c_2Ebool_2ET) @ X14) @ X15)=(X14))&((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X10) @ c_2Ebool_2EF) @ X14) @ X15)=(X15))))))), inference(fof_simplification,[status(thm)],[conj_thm_2Ebool_2ECOND__CLAUSES])). 46.44/6.35 thf(c_0_50, plain, ![X211:tp__ty_2Eextreal_2Eextreal, X212:tp__ty_2Eextreal_2Eextreal, X213:tp__ty_2Eextreal_2Eextreal]:((~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X212)) @ (inj__ty_2Eextreal_2Eextreal @ X213)))|~(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X211)) @ (inj__ty_2Eextreal_2Eextreal @ X212)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X211)) @ (inj__ty_2Eextreal_2Eextreal @ X213))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eextreal_2Ele__trans])])])). 46.44/6.35 thf(c_0_51, plain, ![X164:tp__ty_2Eextreal_2Eextreal, X165:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X165)) @ (inj__ty_2Eextreal_2Eextreal @ X164)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X164)) @ (inj__ty_2Eextreal_2Eextreal @ X165))))), inference(variable_rename,[status(thm)],[conj_thm_2Eextreal_2Ele__total])). 46.44/6.35 thf(c_0_52, negated_conjecture, ~(![X27:tp__ty_2Eextreal_2Eextreal, X28:tp__ty_2Eextreal_2Eextreal, X29:tp__ty_2Eextreal_2Eextreal]:((((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X29)) @ (inj__ty_2Eextreal_2Eextreal @ X27)))&(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X28)) @ (inj__ty_2Eextreal_2Eextreal @ X27))))<=>(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X28)) @ (inj__ty_2Eextreal_2Eextreal @ X29))) @ (inj__ty_2Eextreal_2Eextreal @ X27)))))), inference(assume_negation,[status(cth)],[conj_thm_2Eextreal_2Emax__le])). 46.44/6.35 thf(c_0_53, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X18:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X18))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))|~((mem @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ ty_2Eextreal_2Eextreal)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_34])). 46.44/6.35 thf(c_0_54, plain, ![X4:$i, X3:$i]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ X4)=(c_2Ebool_2EF))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ X4)=(c_2Ebool_2ET))|~((mem @ X4 @ ty_2Eextreal_2Eextreal))|~((mem @ X3 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 46.44/6.35 thf(c_0_55, plain, ![X18:tp__ty_2Eextreal_2Eextreal]:((mem @ (inj__ty_2Eextreal_2Eextreal @ X18) @ ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[c_0_48])). 46.44/6.35 thf(c_0_56, plain, ![X151:del, X152:$i, X153:$i]:(((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X151) @ c_2Ebool_2ET) @ X152) @ X153)=(X152))|~(mem @ X153 @ X151)|~(mem @ X152 @ X151))&(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X151) @ c_2Ebool_2EF) @ X152) @ X153)=(X153))|~(mem @ X153 @ X151)|~(mem @ X152 @ X151)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])])])). 46.44/6.35 thf(c_0_57, plain, ![X22:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal, X18:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X22)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X22)) @ (inj__ty_2Eextreal_2Eextreal @ X18)))))), inference(split_conjunct,[status(thm)],[c_0_50])). 46.44/6.35 thf(c_0_58, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X18:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X18))))), inference(split_conjunct,[status(thm)],[c_0_51])). 46.44/6.35 thf(c_0_59, 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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])])). 46.44/6.35 thf(c_0_60, plain, ![X18:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ c_2Ebool_2EF) @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))=(ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X18)))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X18))=(c_2Ebool_2ET))|~((mem @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ c_2Ebool_2EF) @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ ty_2Eextreal_2Eextreal)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55]), c_0_55])])). 46.44/6.35 thf(c_0_61, plain, ![X4:$i, X3:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2EF) @ X3) @ X4)=(X4))|~((mem @ X4 @ X1))|~((mem @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_56])). 46.44/6.35 thf(c_0_62, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X18:tp__ty_2Eextreal_2Eextreal, X3:$i]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ X3)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ (inj__ty_2Eextreal_2Eextreal @ X19))))|~((mem @ X3 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_57, c_0_44])). 46.44/6.35 thf(c_0_63, plain, ![X19:tp__ty_2Eextreal_2Eextreal, X18:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))=(c_2Ebool_2ET))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X18))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_54]), c_0_55]), c_0_55])]), c_0_31])). 46.44/6.35 thf(c_0_64, negated_conjecture, ((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ esk6_0))) @ (inj__ty_2Eextreal_2Eextreal @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_59])). 46.44/6.35 thf(c_0_65, plain, ![X18:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__max @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))=(inj__ty_2Eextreal_2Eextreal @ X18))|((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))=(c_2Ebool_2ET)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_55]), c_0_55])])). 46.44/6.35 thf(c_0_66, plain, ![X18:tp__ty_2Eextreal_2Eextreal, X3:$i]:((((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ (inj__ty_2Eextreal_2Eextreal @ X18))) @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ X3))=(fo__c_2Eextreal_2Eextreal__max @ (surj__ty_2Eextreal_2Eextreal @ X3) @ X18))|~((mem @ X3 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_45, c_0_44])). 46.44/6.35 thf(c_0_67, 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_59])). 46.44/6.35 thf(c_0_68, plain, ![X18:tp__ty_2Eextreal_2Eextreal, X19:tp__ty_2Eextreal_2Eextreal, X22:tp__ty_2Eextreal_2Eextreal]:((((ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X19))=(c_2Ebool_2ET))|(p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X19)) @ (inj__ty_2Eextreal_2Eextreal @ X22)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ X18)) @ (inj__ty_2Eextreal_2Eextreal @ X22)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_55])])). 46.44/6.35 thf(c_0_69, 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_64, c_0_65])). 46.44/6.35 thf(c_0_70, plain, ![X3:$i, X4:$i]:((((surj__ty_2Eextreal_2Eextreal @ (ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ ty_2Eextreal_2Eextreal) @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ X3) @ X4)) @ X4) @ X3))=(fo__c_2Eextreal_2Eextreal__max @ (surj__ty_2Eextreal_2Eextreal @ X3) @ (surj__ty_2Eextreal_2Eextreal @ X4)))|~((mem @ X3 @ ty_2Eextreal_2Eextreal))|~((mem @ X4 @ ty_2Eextreal_2Eextreal)))), inference(spm,[status(thm)],[c_0_66, c_0_44])). 46.44/6.35 thf(c_0_71, 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_67, c_0_65]), c_0_68]), c_0_69])). 46.44/6.35 thf(c_0_72, 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_70, c_0_71]), c_0_33]), c_0_33]), c_0_55]), c_0_55])])). 46.44/6.35 thf(c_0_73, plain, ![X4:$i, X3:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2ET) @ X3) @ X4)=(X3))|~((mem @ X4 @ X1))|~((mem @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_56])). 46.44/6.35 thf(c_0_74, 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_72, c_0_73]), c_0_33]), c_0_55]), c_0_55])])). 46.44/6.35 thf(c_0_75, 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_34, c_0_74])). 46.44/6.35 thf(c_0_76, negated_conjecture, ![X18:tp__ty_2Eextreal_2Eextreal]:(((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk5_0)) @ (inj__ty_2Eextreal_2Eextreal @ X18)))|~((p @ (ap @ (ap @ c_2Eextreal_2Eextreal__le @ (inj__ty_2Eextreal_2Eextreal @ esk6_0)) @ (inj__ty_2Eextreal_2Eextreal @ X18)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_71]), c_0_26]), c_0_55])])). 46.44/6.35 thf(c_0_77, 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_59])). 46.44/6.35 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)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_75]), c_0_76])). 46.44/6.35 thf(c_0_79, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_75])]), c_0_78]), ['proof']). 46.44/6.35 # SZS output end CNFRefutation 46.44/6.35 # Parsed axioms : 83 46.44/6.35 # Removed by relevancy pruning/SinE : 0 46.44/6.35 # Initial clauses : 364 46.44/6.35 # Removed in clause preprocessing : 283 46.44/6.35 # Initial clauses in saturation : 81 46.44/6.35 # Processed clauses : 19491 46.44/6.35 # ...of these trivial : 153 46.44/6.35 # ...subsumed : 15959 46.44/6.35 # ...remaining for further processing : 3379 46.44/6.35 # Other redundant clauses eliminated : 159 46.44/6.35 # Clauses deleted for lack of memory : 0 46.44/6.35 # Backward-subsumed : 413 46.44/6.35 # Backward-rewritten : 241 46.44/6.35 # Generated clauses : 258326 46.44/6.35 # ...of the previous two non-redundant : 231260 46.44/6.35 # ...aggressively subsumed : 0 46.44/6.35 # Contextual simplify-reflections : 83 46.44/6.35 # Paramodulations : 257992 46.44/6.35 # Factorizations : 106 46.44/6.35 # NegExts : 0 46.44/6.35 # Equation resolutions : 160 46.44/6.35 # Disequality decompositions : 0 46.44/6.35 # Total rewrite steps : 141986 46.44/6.35 # ...of those cached : 141119 46.44/6.35 # Propositional unsat checks : 0 46.44/6.35 # Propositional check models : 0 46.44/6.35 # Propositional check unsatisfiable : 0 46.44/6.35 # Propositional clauses : 0 46.44/6.35 # Propositional clauses after purity: 0 46.44/6.35 # Propositional unsat core size : 0 46.44/6.35 # Propositional preprocessing time : 0.000 46.44/6.35 # Propositional encoding time : 0.000 46.44/6.35 # Propositional solver time : 0.000 46.44/6.35 # Success case prop preproc time : 0.000 46.44/6.35 # Success case prop encoding time : 0.000 46.44/6.35 # Success case prop solver time : 0.000 46.44/6.35 # Current number of processed clauses : 2628 46.44/6.35 # Positive orientable unit clauses : 79 46.44/6.35 # Positive unorientable unit clauses: 0 46.44/6.35 # Negative unit clauses : 3 46.44/6.35 # Non-unit-clauses : 2546 46.44/6.35 # Current number of unprocessed clauses: 210911 46.44/6.35 # ...number of literals in the above : 1063758 46.44/6.35 # Current number of archived formulas : 0 46.44/6.35 # Current number of archived clauses : 750 46.44/6.35 # Clause-clause subsumption calls (NU) : 1256852 46.44/6.35 # Rec. Clause-clause subsumption calls : 339371 46.44/6.35 # Non-unit clause-clause subsumptions : 14133 46.44/6.35 # Unit Clause-clause subsumption calls : 22669 46.44/6.35 # Rewrite failures with RHS unbound : 0 46.44/6.35 # BW rewrite match attempts : 1262 46.44/6.35 # BW rewrite match successes : 42 46.44/6.35 # Condensation attempts : 19492 46.44/6.35 # Condensation successes : 311 46.44/6.35 # Termbank termtop insertions : 9125347 46.44/6.35 # Search garbage collected termcells : 4349 46.44/6.35 46.44/6.35 # ------------------------------------------------- 46.44/6.35 # User time : 5.613 s 46.44/6.35 # System time : 0.134 s 46.44/6.35 # Total time : 5.747 s 46.44/6.35 # Maximum resident set size: 2568 pages 46.44/6.35 46.44/6.35 # ------------------------------------------------- 46.44/6.35 # User time : 5.615 s 46.44/6.35 # System time : 0.138 s 46.44/6.35 # Total time : 5.753 s 46.44/6.35 # Maximum resident set size: 1824 pages 46.44/6.35 % E---3.1 exiting 46.44/6.35 % E exiting 46.44/6.35 EOF