0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.37 % Computer : n006.cluster.edu 0.10/0.37 % Model : x86_64 x86_64 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.37 % Memory : 8046.5625MB 0.10/0.37 % OS : Linux 6.8.0-71-generic 0.10/0.37 % CPULimit : 1440 0.10/0.37 % WCLimit : 180 0.10/0.37 % DateTime : Mon Jul 27 12:58:04 UTC 2026 0.10/0.38 % CPUTime : 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.41 Running higher-order theorem proving 0.10/0.43 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.WRd4sE0fwv/E---3.1_2830380.p 0.18/0.48 % Version: 3.5.1-ho 0.18/0.48 % Preprocessing class: HSMSSMSSSSSNSFA. 0.18/0.48 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.48 % Starting new_ho_14 with 720s (4) cores 0.18/0.48 % Starting new_ho_13 with 360s (2) cores 0.18/0.48 % Starting new_ho_10_cnf2 with 180s (1) cores 0.18/0.48 % Starting new_bool_3 with 180s (1) cores 0.18/0.48 % new_bool_3 with pid 2830396 completed with status 0 0.18/0.48 % Result found by new_bool_3 0.18/0.48 % Preprocessing class: HSMSSMSSSSSNSFA. 0.18/0.48 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.48 % Starting new_ho_14 with 720s (4) cores 0.18/0.48 % Starting new_ho_13 with 360s (2) cores 0.18/0.48 % Starting new_ho_10_cnf2 with 180s (1) cores 0.18/0.48 % Starting new_bool_3 with 180s (1) cores 0.18/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.18/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.18/0.48 % Search class: HGHSM-FFMF31-MSFFFFNN 0.18/0.48 % partial match(2): FGHSM-FFMF31-MFFFFFNN 0.18/0.48 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.18/0.48 % Starting SubtermCWHack with 19s (1) cores 0.18/0.48 % SubtermCWHack with pid 2830397 completed with status 0 0.18/0.48 % Result found by SubtermCWHack 0.18/0.48 % Preprocessing class: HSMSSMSSSSSNSFA. 0.18/0.48 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.48 % Starting new_ho_14 with 720s (4) cores 0.18/0.48 % Starting new_ho_13 with 360s (2) cores 0.18/0.48 % Starting new_ho_10_cnf2 with 180s (1) cores 0.18/0.48 % Starting new_bool_3 with 180s (1) cores 0.18/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.18/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.18/0.48 % Search class: HGHSM-FFMF31-MSFFFFNN 0.18/0.48 % partial match(2): FGHSM-FFMF31-MFFFFFNN 0.18/0.48 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.18/0.48 % Starting SubtermCWHack with 19s (1) cores 0.18/0.48 % Preprocessing time : 0.001 s 0.18/0.48 0.18/0.48 % Proof found! 0.18/0.48 % SZS status Theorem 0.18/0.48 % SZS output start CNFRefutation 0.18/0.48 thf(decl_sort1, type, del: $tType). 0.18/0.48 thf(decl_23, type, bool: del). 0.18/0.48 thf(decl_25, type, arr: del > del > del). 0.18/0.48 thf(decl_26, type, mem: $i > del > $o). 0.18/0.48 thf(decl_27, type, ap: $i > $i > $i). 0.18/0.48 thf(decl_29, type, p: $i > $o). 0.18/0.48 thf(decl_32, type, c_2Epred__set_2ESUBSET: del > $i). 0.18/0.48 thf(decl_35, type, c_2Ebool_2EIN: del > $i). 0.18/0.48 thf(decl_36, type, c_2Epred__set_2ECHOICE: del > $i). 0.18/0.48 thf(decl_37, type, c_2Epred__set_2EDELETE: del > $i). 0.18/0.48 thf(decl_38, type, c_2Epred__set_2EREST: del > $i). 0.18/0.48 thf(decl_41, type, esk1_0: del). 0.18/0.48 thf(decl_42, type, esk2_0: $i). 0.18/0.48 thf(decl_44, type, esk4_3: del > $i > $i > $i). 0.18/0.48 thf(ap_tp, axiom, ![X1:del, X2:del, X8:$i]:(((mem @ X8 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X8 @ X4) @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.WRd4sE0fwv/E---3.1_2830380.p', ap_tp)). 0.18/0.48 thf(mem_c_2Epred__set_2EDELETE, axiom, ![X13:del]:((mem @ (c_2Epred__set_2EDELETE @ X13) @ (arr @ (arr @ X13 @ bool) @ (arr @ X13 @ (arr @ X13 @ bool))))), file('/export/starexec/sandbox2/tmp/tmp.WRd4sE0fwv/E---3.1_2830380.p', mem_c_2Epred__set_2EDELETE)). 0.18/0.48 thf(conj_thm_2Epred__set_2EIN__DELETE, axiom, ![X13:del, X14:$i]:(((mem @ X14 @ (arr @ X13 @ bool))=>![X17:$i]:(((mem @ X17 @ X13)=>![X18:$i]:((((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X13) @ X17) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X13) @ X14) @ X18)))<=>(((X17)!=(X18))&(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X13) @ X17) @ X14))))<=(mem @ X18 @ X13))))))), file('/export/starexec/sandbox2/tmp/tmp.WRd4sE0fwv/E---3.1_2830380.p', conj_thm_2Epred__set_2EIN__DELETE)). 0.18/0.48 thf(ax_thm_2Epred__set_2ESUBSET__DEF, axiom, ![X13:del, X14:$i]:((![X15:$i]:(((mem @ X15 @ (arr @ X13 @ bool))=>((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X13) @ X14) @ X15))<=>![X16:$i]:(((mem @ X16 @ X13)=>((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X13) @ X16) @ X15))<=(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X13) @ X16) @ X14))))))))<=(mem @ X14 @ (arr @ X13 @ bool)))), file('/export/starexec/sandbox2/tmp/tmp.WRd4sE0fwv/E---3.1_2830380.p', ax_thm_2Epred__set_2ESUBSET__DEF)). 0.18/0.48 thf(conj_thm_2Epred__set_2EREST__SUBSET, conjecture, ![X13:del, X14:$i]:(((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X13) @ (ap @ (c_2Epred__set_2EREST @ X13) @ X14)) @ X14))<=(mem @ X14 @ (arr @ X13 @ bool)))), file('/export/starexec/sandbox2/tmp/tmp.WRd4sE0fwv/E---3.1_2830380.p', conj_thm_2Epred__set_2EREST__SUBSET)). 0.18/0.48 thf(ax_thm_2Epred__set_2EREST__DEF, axiom, ![X13:del, X14:$i]:((((ap @ (c_2Epred__set_2EREST @ X13) @ X14)=(ap @ (ap @ (c_2Epred__set_2EDELETE @ X13) @ X14) @ (ap @ (c_2Epred__set_2ECHOICE @ X13) @ X14)))<=(mem @ X14 @ (arr @ X13 @ bool)))), file('/export/starexec/sandbox2/tmp/tmp.WRd4sE0fwv/E---3.1_2830380.p', ax_thm_2Epred__set_2EREST__DEF)). 0.18/0.48 thf(mem_c_2Epred__set_2ECHOICE, axiom, ![X13:del]:((mem @ (c_2Epred__set_2ECHOICE @ X13) @ (arr @ (arr @ X13 @ bool) @ X13))), file('/export/starexec/sandbox2/tmp/tmp.WRd4sE0fwv/E---3.1_2830380.p', mem_c_2Epred__set_2ECHOICE)). 0.18/0.48 thf(c_0_7, plain, ![X52:del, X53:del, X54:$i, X55:$i]:((~(mem @ X54 @ (arr @ X52 @ X53))|(~(mem @ X55 @ X52)|(mem @ (ap @ X54 @ X55) @ X53)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])). 0.18/0.48 thf(c_0_8, plain, ![X66:del]:((mem @ (c_2Epred__set_2EDELETE @ X66) @ (arr @ (arr @ X66 @ bool) @ (arr @ X66 @ (arr @ X66 @ bool))))), inference(variable_rename,[status(thm)],[mem_c_2Epred__set_2EDELETE])). 0.18/0.48 thf(c_0_9, plain, ![X13:del, X14:$i]:(((mem @ X14 @ (arr @ X13 @ bool))=>![X17:$i]:(((mem @ X17 @ X13)=>![X18:$i]:(((mem @ X18 @ X13)=>((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X13) @ X17) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X13) @ X14) @ X18)))<=>(((X17)!=(X18))&(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X13) @ X17) @ X14)))))))))), inference(fof_simplification,[status(thm)],[conj_thm_2Epred__set_2EIN__DELETE])). 0.18/0.48 thf(c_0_10, plain, ![X13:del, X14:$i]:(((mem @ X14 @ (arr @ X13 @ bool))=>![X15:$i]:(((mem @ X15 @ (arr @ X13 @ bool))=>((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X13) @ X14) @ X15))<=>![X16:$i]:(((mem @ X16 @ X13)=>((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X13) @ X16) @ X14))=>(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X13) @ X16) @ X15)))))))))), inference(fof_simplification,[status(thm)],[ax_thm_2Epred__set_2ESUBSET__DEF])). 0.18/0.48 thf(c_0_11, plain, ![X4:$i, X5:$i, X2:del, X1:del]:(((mem @ (ap @ X4 @ X5) @ X2)|~((mem @ X4 @ (arr @ X1 @ X2)))|~((mem @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.18/0.48 thf(c_0_12, plain, ![X1:del]:((mem @ (c_2Epred__set_2EDELETE @ X1) @ (arr @ (arr @ X1 @ bool) @ (arr @ X1 @ (arr @ X1 @ bool))))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.18/0.48 thf(c_0_13, plain, ![X67:del, X68:$i, X69:$i, X70:$i]:((((((X69)!=(X70))|~(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X67) @ X69) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X67) @ X68) @ X70)))|~(mem @ X70 @ X67)|~(mem @ X69 @ X67)|~(mem @ X68 @ (arr @ X67 @ bool)))&((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X67) @ X69) @ X68))|~(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X67) @ X69) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X67) @ X68) @ X70)))|~(mem @ X70 @ X67)|~(mem @ X69 @ X67)|~(mem @ X68 @ (arr @ X67 @ bool))))&(((X69)=(X70))|~(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X67) @ X69) @ X68))|(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X67) @ X69) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X67) @ X68) @ X70)))|~(mem @ X70 @ X67)|~(mem @ X69 @ X67)|~(mem @ X68 @ (arr @ X67 @ bool))))), 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_9])])])])])). 0.18/0.48 thf(c_0_14, plain, ![X60:del, X61:$i, X62:$i, X63:$i]:(((~(p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X60) @ X61) @ X62))|(~(mem @ X63 @ X60)|(~(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X60) @ X63) @ X61))|(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X60) @ X63) @ X62))))|~(mem @ X62 @ (arr @ X60 @ bool))|~(mem @ X61 @ (arr @ X60 @ bool)))&(((mem @ (esk4_3 @ X60 @ X61 @ X62) @ X60)|(p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X60) @ X61) @ X62))|~(mem @ X62 @ (arr @ X60 @ bool))|~(mem @ X61 @ (arr @ X60 @ bool)))&(((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X60) @ (esk4_3 @ X60 @ X61 @ X62)) @ X61))|(p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X60) @ X61) @ X62))|~(mem @ X62 @ (arr @ X60 @ bool))|~(mem @ X61 @ (arr @ X60 @ bool)))&(~(p @ (ap @ (ap @ (c_2Ebool_2EIN @ X60) @ (esk4_3 @ X60 @ X61 @ X62)) @ X62))|(p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X60) @ X61) @ X62))|~(mem @ X62 @ (arr @ X60 @ bool))|~(mem @ X61 @ (arr @ X60 @ bool))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])])). 0.18/0.48 thf(c_0_15, plain, ![X4:$i, X1:del]:(((mem @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X4) @ (arr @ X1 @ (arr @ X1 @ bool)))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.18/0.48 thf(c_0_16, negated_conjecture, ~(![X13:del, X14:$i]:(((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X13) @ (ap @ (c_2Epred__set_2EREST @ X13) @ X14)) @ X14))<=(mem @ X14 @ (arr @ X13 @ bool))))), inference(assume_negation,[status(cth)],[conj_thm_2Epred__set_2EREST__SUBSET])). 0.18/0.48 thf(c_0_17, plain, ![X4:$i, X6:$i, X5:$i, X1:del]:(((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X4) @ X5))|~((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ X4) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X5) @ X6))))|~((mem @ X6 @ X1))|~((mem @ X4 @ X1))|~((mem @ X5 @ (arr @ X1 @ bool))))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.18/0.48 thf(c_0_18, plain, ![X4:$i, X5:$i, X1:del]:(((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ (esk4_3 @ X1 @ X4 @ X5)) @ X4))|(p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X1) @ X4) @ X5))|~((mem @ X5 @ (arr @ X1 @ bool)))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.18/0.48 thf(c_0_19, plain, ![X4:$i, X5:$i, X1:del]:(((mem @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X4) @ X5) @ (arr @ X1 @ bool))|~((mem @ X4 @ (arr @ X1 @ bool)))|~((mem @ X5 @ X1)))), inference(spm,[status(thm)],[c_0_11, c_0_15])). 0.18/0.48 thf(c_0_20, plain, ![X13:del, X14:$i]:(((mem @ X14 @ (arr @ X13 @ bool))=>((ap @ (c_2Epred__set_2EREST @ X13) @ X14)=(ap @ (ap @ (c_2Epred__set_2EDELETE @ X13) @ X14) @ (ap @ (c_2Epred__set_2ECHOICE @ X13) @ X14))))), inference(fof_simplification,[status(thm)],[ax_thm_2Epred__set_2EREST__DEF])). 0.18/0.48 thf(c_0_21, plain, ![X65:del]:((mem @ (c_2Epred__set_2ECHOICE @ X65) @ (arr @ (arr @ X65 @ bool) @ X65))), inference(variable_rename,[status(thm)],[mem_c_2Epred__set_2ECHOICE])). 0.18/0.48 thf(c_0_22, negated_conjecture, ~(![X13:del, X14:$i]:(((mem @ X14 @ (arr @ X13 @ bool))=>(p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X13) @ (ap @ (c_2Epred__set_2EREST @ X13) @ X14)) @ X14))))), inference(fof_simplification,[status(thm)],[c_0_16])). 0.18/0.48 thf(c_0_23, plain, ![X4:$i, X5:$i, X1:del]:(((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X1) @ X4) @ X5))|~((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ (esk4_3 @ X1 @ X4 @ X5)) @ X5)))|~((mem @ X5 @ (arr @ X1 @ bool)))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.18/0.48 thf(c_0_24, plain, ![X4:$i, X6:$i, X5:$i, X1:del]:(((p @ (ap @ (ap @ (c_2Ebool_2EIN @ X1) @ (esk4_3 @ X1 @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X4) @ X5) @ X6)) @ X4))|(p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X1) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X4) @ X5)) @ X6))|~((mem @ (esk4_3 @ X1 @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X4) @ X5) @ X6) @ X1))|~((mem @ X4 @ (arr @ X1 @ bool)))|~((mem @ X6 @ (arr @ X1 @ bool)))|~((mem @ X5 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])). 0.18/0.48 thf(c_0_25, plain, ![X4:$i, X5:$i, X1:del]:(((mem @ (esk4_3 @ X1 @ X4 @ X5) @ X1)|(p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X1) @ X4) @ X5))|~((mem @ X5 @ (arr @ X1 @ bool)))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.18/0.48 thf(c_0_26, plain, ![X56:del, X57:$i]:((~(mem @ X57 @ (arr @ X56 @ bool))|((ap @ (c_2Epred__set_2EREST @ X56) @ X57)=(ap @ (ap @ (c_2Epred__set_2EDELETE @ X56) @ X57) @ (ap @ (c_2Epred__set_2ECHOICE @ X56) @ X57))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])). 0.18/0.48 thf(c_0_27, plain, ![X1:del]:((mem @ (c_2Epred__set_2ECHOICE @ X1) @ (arr @ (arr @ X1 @ bool) @ X1))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.18/0.48 thf(c_0_28, negated_conjecture, ((mem @ esk2_0 @ (arr @ esk1_0 @ bool))&~(p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ esk1_0) @ (ap @ (c_2Epred__set_2EREST @ esk1_0) @ esk2_0)) @ esk2_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])). 0.18/0.48 thf(c_0_29, plain, ![X4:$i, X5:$i, X1:del]:(((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X1) @ (ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X4) @ X5)) @ X4))|~((mem @ X4 @ (arr @ X1 @ bool)))|~((mem @ X5 @ X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_19])). 0.18/0.48 thf(c_0_30, plain, ![X4:$i, X1:del]:((((ap @ (c_2Epred__set_2EREST @ X1) @ X4)=(ap @ (ap @ (c_2Epred__set_2EDELETE @ X1) @ X4) @ (ap @ (c_2Epred__set_2ECHOICE @ X1) @ X4)))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(split_conjunct,[status(thm)],[c_0_26])). 0.18/0.48 thf(c_0_31, plain, ![X4:$i, X1:del]:(((mem @ (ap @ (c_2Epred__set_2ECHOICE @ X1) @ X4) @ X1)|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(spm,[status(thm)],[c_0_11, c_0_27])). 0.18/0.48 thf(c_0_32, negated_conjecture, ~((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ esk1_0) @ (ap @ (c_2Epred__set_2EREST @ esk1_0) @ esk2_0)) @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.18/0.48 thf(c_0_33, plain, ![X4:$i, X1:del]:(((p @ (ap @ (ap @ (c_2Epred__set_2ESUBSET @ X1) @ (ap @ (c_2Epred__set_2EREST @ X1) @ X4)) @ X4))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])). 0.18/0.48 thf(c_0_34, negated_conjecture, (mem @ esk2_0 @ (arr @ esk1_0 @ bool)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.18/0.48 thf(c_0_35, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])]), ['proof']). 0.18/0.48 % SZS output end CNFRefutation 0.18/0.48 % Parsed axioms : 45 0.18/0.48 % Removed by relevancy pruning/SinE : 34 0.18/0.48 % Initial clauses : 18 0.18/0.48 % Removed in clause preprocessing : 0 0.18/0.48 % Initial clauses in saturation : 18 0.18/0.48 % Processed clauses : 145 0.18/0.48 % ...of these trivial : 0 0.18/0.48 % ...subsumed : 13 0.18/0.48 % ...remaining for further processing : 132 0.18/0.48 % Other redundant clauses eliminated : 1 0.18/0.48 % Clauses deleted for lack of memory : 0 0.18/0.48 % Backward-subsumed : 0 0.18/0.48 % Backward-rewritten : 0 0.18/0.48 % Generated clauses : 835 0.18/0.48 % ...of the previous two non-redundant : 826 0.18/0.48 % ...aggressively subsumed : 0 0.18/0.48 % Contextual simplify-reflections : 12 0.18/0.48 % Paramodulations : 833 0.18/0.48 % Factorizations : 0 0.18/0.48 % NegExts : 0 0.18/0.48 % Equation resolutions : 2 0.18/0.48 % Disequality decompositions : 0 0.18/0.48 % Total rewrite steps : 18 0.18/0.48 % ...of those cached : 17 0.18/0.48 % Propositional unsat checks : 0 0.18/0.48 % Propositional check models : 0 0.18/0.48 % Propositional check unsatisfiable : 0 0.18/0.48 % Propositional clauses : 0 0.18/0.48 % Propositional clauses after purity: 0 0.18/0.48 % Propositional unsat core size : 0 0.18/0.48 % Propositional preprocessing time : 0.000 0.18/0.48 % Propositional encoding time : 0.000 0.18/0.48 % Propositional solver time : 0.000 0.18/0.48 % Success case prop preproc time : 0.000 0.18/0.48 % Success case prop encoding time : 0.000 0.18/0.48 % Success case prop solver time : 0.000 0.18/0.48 % Current number of processed clauses : 131 0.18/0.48 % Positive orientable unit clauses : 6 0.18/0.48 % Positive unorientable unit clauses: 0 0.18/0.48 % Negative unit clauses : 1 0.18/0.48 % Non-unit-clauses : 124 0.18/0.48 % Current number of unprocessed clauses: 699 0.18/0.48 % ...number of literals in the above : 4435 0.18/0.48 % Current number of archived formulas : 0 0.18/0.48 % Current number of archived clauses : 0 0.18/0.48 % Clause-clause subsumption calls (NU) : 3676 0.18/0.48 % Rec. Clause-clause subsumption calls : 1008 0.18/0.48 % Non-unit clause-clause subsumptions : 25 0.18/0.48 % Unit Clause-clause subsumption calls : 0 0.18/0.48 % Rewrite failures with RHS unbound : 0 0.18/0.48 % BW rewrite match attempts : 0 0.18/0.48 % BW rewrite match successes : 0 0.18/0.48 % Condensation attempts : 0 0.18/0.48 % Condensation successes : 0 0.18/0.48 % Termbank termtop insertions : 50737 0.18/0.48 % Search garbage collected termcells : 644 0.18/0.48 0.18/0.48 % ------------------------------------------------- 0.18/0.48 % User time : 0.034 s 0.18/0.48 % System time : 0.002 s 0.18/0.48 % Total time : 0.035 s 0.18/0.48 % Maximum resident set size: 3688 pages 0.18/0.48 0.18/0.48 % ------------------------------------------------- 0.18/0.48 % User time : 0.036 s 0.18/0.48 % System time : 0.007 s 0.18/0.48 % Total time : 0.042 s 0.18/0.48 % Maximum resident set size: 4864 pages 0.18/0.48 % E exiting 0.18/0.49 EOF