0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n018.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 08:12:04 EDT 2025 0.11/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.48 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.kBYBD2Qsdm/E---3.1_7262.p 1.64/0.72 # Version: 3.0.0-ho 1.64/0.72 # Preprocessing class: HSLSSMSMSSSNSFA. 1.64/0.72 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 1.64/0.72 # Starting new_ho_10 with 720s (3) cores 1.64/0.72 # Starting sh2lt with 240s (1) cores 1.64/0.72 # Starting new_ho_5 with 240s (1) cores 1.64/0.72 # Starting full_lambda_5 with 240s (1) cores 1.64/0.72 # Starting sh9 with 240s (1) cores 1.64/0.72 # Starting ehoh_best8_lambda with 240s (1) cores 1.64/0.72 # new_ho_5 with pid 7343 completed with status 0 1.64/0.72 # Result found by new_ho_5 1.64/0.72 # Preprocessing class: HSLSSMSMSSSNSFA. 1.64/0.72 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 1.64/0.72 # Starting new_ho_10 with 720s (3) cores 1.64/0.72 # Starting sh2lt with 240s (1) cores 1.64/0.72 # Starting new_ho_5 with 240s (1) cores 1.64/0.72 # SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true) 1.64/0.72 # Search class: HGHSM-FSLF32-MSFFFFNN 1.64/0.72 # partial match(1): HGHSM-FSLF32-MSFFFFBN 1.64/0.72 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 1.64/0.72 # Starting sh3 with 130s (1) cores 1.64/0.72 # sh3 with pid 7347 completed with status 0 1.64/0.72 # Result found by sh3 1.64/0.72 # Preprocessing class: HSLSSMSMSSSNSFA. 1.64/0.72 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 1.64/0.72 # Starting new_ho_10 with 720s (3) cores 1.64/0.72 # Starting sh2lt with 240s (1) cores 1.64/0.72 # Starting new_ho_5 with 240s (1) cores 1.64/0.72 # SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true) 1.64/0.72 # Search class: HGHSM-FSLF32-MSFFFFNN 1.64/0.72 # partial match(1): HGHSM-FSLF32-MSFFFFBN 1.64/0.72 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 1.64/0.72 # Starting sh3 with 130s (1) cores 1.64/0.72 # Preprocessing time : 0.006 s 1.64/0.72 # Presaturation interreduction done 1.64/0.72 1.64/0.72 # Proof found! 1.64/0.72 # SZS status Theorem 1.64/0.72 # SZS output start CNFRefutation 1.64/0.72 thf(decl_sort1, type, del: $tType). 1.64/0.72 thf(decl_23, type, bool: del). 1.64/0.72 thf(decl_25, type, arr: del > del > del). 1.64/0.72 thf(decl_26, type, mem: $i > del > $o). 1.64/0.72 thf(decl_27, type, ap: $i > $i > $i). 1.64/0.72 thf(decl_29, type, p: $i > $o). 1.64/0.72 thf(decl_39, type, c_2Epred__set_2EUNIV: del > $i). 1.64/0.72 thf(decl_40, type, ty_2Epair_2Eprod: del > del > del). 1.64/0.72 thf(decl_41, type, c_2Epred__set_2ECROSS: del > del > $i). 1.64/0.72 thf(decl_42, type, c_2Epred__set_2EBIJ: del > del > $i). 1.64/0.72 thf(decl_43, type, ty_2Enum_2Enum: del). 1.64/0.72 thf(decl_76, type, esk24_4: del > del > $i > $i > $i). 1.64/0.72 thf(decl_77, type, esk25_4: del > del > $i > $i > $i). 1.64/0.72 thf(decl_78, type, esk26_0: $i). 1.64/0.72 thf(conj_thm_2Epred__set_2EBIJ__SYM, axiom, ![X10:del, X15:del, X40:$i]:((![X41:$i]:(((?[X42:$i]:(((mem @ X42 @ (arr @ X15 @ X10))&(p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X15 @ X10) @ X42) @ X41) @ X40))))<=>?[X43:$i]:(((mem @ X43 @ (arr @ X10 @ X15))&(p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X10 @ X15) @ X43) @ X40) @ X41)))))<=(mem @ X41 @ (arr @ X15 @ bool))))<=(mem @ X40 @ (arr @ X10 @ bool)))), file('/export/starexec/sandbox/tmp/tmp.kBYBD2Qsdm/E---3.1_7262.p', conj_thm_2Epred__set_2EBIJ__SYM)). 1.64/0.72 thf(ap_tp, axiom, ![X1:del, X2:del, X6:$i]:((![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X6 @ X4) @ X2)))<=(mem @ X6 @ (arr @ X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.kBYBD2Qsdm/E---3.1_7262.p', ap_tp)). 1.64/0.72 thf(conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV, conjecture, ?[X39:$i]:(((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X39) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))&(mem @ X39 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))), file('/export/starexec/sandbox/tmp/tmp.kBYBD2Qsdm/E---3.1_7262.p', conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV)). 1.64/0.72 thf(conj_thm_2Eutil__prob_2ENUM__2D__BIJ, axiom, ?[X39:$i]:(((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ X39) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))&(mem @ X39 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)))), file('/export/starexec/sandbox/tmp/tmp.kBYBD2Qsdm/E---3.1_7262.p', conj_thm_2Eutil__prob_2ENUM__2D__BIJ)). 1.64/0.72 thf(mem_c_2Epred__set_2EUNIV, axiom, ![X10:del]:((mem @ (c_2Epred__set_2EUNIV @ X10) @ (arr @ X10 @ bool))), file('/export/starexec/sandbox/tmp/tmp.kBYBD2Qsdm/E---3.1_7262.p', mem_c_2Epred__set_2EUNIV)). 1.64/0.72 thf(mem_c_2Epred__set_2ECROSS, axiom, ![X10:del, X15:del]:((mem @ (c_2Epred__set_2ECROSS @ X10 @ X15) @ (arr @ (arr @ X10 @ bool) @ (arr @ (arr @ X15 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X10 @ X15) @ bool))))), file('/export/starexec/sandbox/tmp/tmp.kBYBD2Qsdm/E---3.1_7262.p', mem_c_2Epred__set_2ECROSS)). 1.64/0.72 thf(c_0_6, plain, ![X10:del, X15:del, X40:$i]:(((mem @ X40 @ (arr @ X10 @ bool))=>![X41:$i]:(((mem @ X41 @ (arr @ X15 @ bool))=>(?[X42:$i]:(((mem @ X42 @ (arr @ X15 @ X10))&(p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X15 @ X10) @ X42) @ X41) @ X40))))<=>?[X43:$i]:(((mem @ X43 @ (arr @ X10 @ X15))&(p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X10 @ X15) @ X43) @ X40) @ X41))))))))), inference(fof_simplification,[status(thm)],[conj_thm_2Epred__set_2EBIJ__SYM])). 1.64/0.72 thf(c_0_7, plain, ![X1:del, X2:del, X6:$i]:(((mem @ X6 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X6 @ X4) @ X2))))), inference(fof_simplification,[status(thm)],[ap_tp])). 1.64/0.72 thf(c_0_8, negated_conjecture, ~(?[X39:$i]:(((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X39) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))&(mem @ X39 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))))), inference(assume_negation,[status(cth)],[conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV])). 1.64/0.72 thf(c_0_9, plain, ![X270:del, X271:del, X272:$i, X273:$i, X274:$i, X276:$i]:(((((mem @ (esk24_4 @ X270 @ X271 @ X272 @ X273) @ (arr @ X270 @ X271))|(~(mem @ X274 @ (arr @ X271 @ X270))|~(p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X271 @ X270) @ X274) @ X273) @ X272)))|~(mem @ X273 @ (arr @ X271 @ bool))|~(mem @ X272 @ (arr @ X270 @ bool)))&((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X270 @ X271) @ (esk24_4 @ X270 @ X271 @ X272 @ X273)) @ X272) @ X273))|(~(mem @ X274 @ (arr @ X271 @ X270))|~(p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X271 @ X270) @ X274) @ X273) @ X272)))|~(mem @ X273 @ (arr @ X271 @ bool))|~(mem @ X272 @ (arr @ X270 @ bool))))&(((mem @ (esk25_4 @ X270 @ X271 @ X272 @ X273) @ (arr @ X271 @ X270))|(~(mem @ X276 @ (arr @ X270 @ X271))|~(p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X270 @ X271) @ X276) @ X272) @ X273)))|~(mem @ X273 @ (arr @ X271 @ bool))|~(mem @ X272 @ (arr @ X270 @ bool)))&((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X271 @ X270) @ (esk25_4 @ X270 @ X271 @ X272 @ X273)) @ X273) @ X272))|(~(mem @ X276 @ (arr @ X270 @ X271))|~(p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X270 @ X271) @ X276) @ X272) @ X273)))|~(mem @ X273 @ (arr @ X271 @ bool))|~(mem @ X272 @ (arr @ X270 @ 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_6])])])])])])). 1.64/0.72 thf(c_0_10, plain, ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ esk26_0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))&(mem @ esk26_0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[conj_thm_2Eutil__prob_2ENUM__2D__BIJ])])). 1.64/0.72 thf(c_0_11, plain, ![X285:del]:((mem @ (c_2Epred__set_2EUNIV @ X285) @ (arr @ X285 @ bool))), inference(variable_rename,[status(thm)],[mem_c_2Epred__set_2EUNIV])). 1.64/0.72 thf(c_0_12, plain, ![X157:del, X158:del, X159:$i, X160:$i]:((~(mem @ X159 @ (arr @ X157 @ X158))|(~(mem @ X160 @ X157)|(mem @ (ap @ X159 @ X160) @ X158)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])). 1.64/0.72 thf(c_0_13, plain, ![X278:del, X279:del]:((mem @ (c_2Epred__set_2ECROSS @ X278 @ X279) @ (arr @ (arr @ X278 @ bool) @ (arr @ (arr @ X279 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X278 @ X279) @ bool))))), inference(variable_rename,[status(thm)],[mem_c_2Epred__set_2ECROSS])). 1.64/0.72 thf(c_0_14, negated_conjecture, ![X156:$i]:((~(p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X156) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))|~(mem @ X156 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])). 1.64/0.72 thf(c_0_15, plain, ![X4:$i, X8:$i, X6:$i, X2:del, X1:del]:(((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X1 @ X2) @ (esk24_4 @ X1 @ X2 @ X4 @ X6)) @ X4) @ X6))|~((mem @ X8 @ (arr @ X2 @ X1)))|~((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X8) @ X6) @ X4)))|~((mem @ X6 @ (arr @ X2 @ bool)))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(split_conjunct,[status(thm)],[c_0_9])). 1.64/0.72 thf(c_0_16, plain, (p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum) @ esk26_0) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))), inference(split_conjunct,[status(thm)],[c_0_10])). 1.64/0.72 thf(c_0_17, plain, ![X1:del]:((mem @ (c_2Epred__set_2EUNIV @ X1) @ (arr @ X1 @ bool))), inference(split_conjunct,[status(thm)],[c_0_11])). 1.64/0.72 thf(c_0_18, plain, (mem @ esk26_0 @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ ty_2Enum_2Enum)), inference(split_conjunct,[status(thm)],[c_0_10])). 1.64/0.72 thf(c_0_19, plain, ![X4:$i, X8:$i, X6:$i, X2:del, X1:del]:(((mem @ (esk24_4 @ X1 @ X2 @ X4 @ X6) @ (arr @ X1 @ X2))|~((mem @ X8 @ (arr @ X2 @ X1)))|~((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ X2 @ X1) @ X8) @ X6) @ X4)))|~((mem @ X6 @ (arr @ X2 @ bool)))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(split_conjunct,[status(thm)],[c_0_9])). 1.64/0.72 thf(c_0_20, plain, ![X4:$i, X6:$i, X2:del, X1:del]:(((mem @ (ap @ X4 @ X6) @ X2)|~((mem @ X4 @ (arr @ X1 @ X2)))|~((mem @ X6 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_12])). 1.64/0.72 thf(c_0_21, plain, ![X1:del, X2:del]:((mem @ (c_2Epred__set_2ECROSS @ X1 @ X2) @ (arr @ (arr @ X1 @ bool) @ (arr @ (arr @ X2 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X1 @ X2) @ bool))))), inference(split_conjunct,[status(thm)],[c_0_13])). 1.64/0.72 thf(c_0_22, negated_conjecture, ![X4:$i]:((~((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ X4) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))))|~((mem @ X4 @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))))), inference(split_conjunct,[status(thm)],[c_0_14])). 1.64/0.72 thf(c_0_23, plain, ((p @ (ap @ (ap @ (ap @ (c_2Epred__set_2EBIJ @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)) @ (esk24_4 @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)))) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))))|~((mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17]), c_0_18])])). 1.64/0.72 thf(c_0_24, plain, ((mem @ (esk24_4 @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum) @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum))) @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum)))|~((mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_16]), c_0_17]), c_0_18])])). 1.64/0.72 thf(c_0_25, plain, ![X4:$i, X2:del, X1:del]:(((mem @ (ap @ (c_2Epred__set_2ECROSS @ X1 @ X2) @ X4) @ (arr @ (arr @ X2 @ bool) @ (arr @ (ty_2Epair_2Eprod @ X1 @ X2) @ bool)))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 1.64/0.72 thf(c_0_26, negated_conjecture, ~((mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (c_2Epred__set_2EUNIV @ ty_2Enum_2Enum)) @ (arr @ (ty_2Epair_2Eprod @ ty_2Enum_2Enum @ ty_2Enum_2Enum) @ bool))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])). 1.64/0.72 thf(c_0_27, plain, ![X4:$i, X6:$i, X2:del, X1:del]:(((mem @ (ap @ (ap @ (c_2Epred__set_2ECROSS @ X1 @ X2) @ X4) @ X6) @ (arr @ (ty_2Epair_2Eprod @ X1 @ X2) @ bool))|~((mem @ X6 @ (arr @ X2 @ bool)))|~((mem @ X4 @ (arr @ X1 @ bool))))), inference(spm,[status(thm)],[c_0_20, c_0_25])). 1.64/0.72 thf(c_0_28, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_17])]), ['proof']). 1.64/0.72 # SZS output end CNFRefutation 1.64/0.72 # Parsed axioms : 95 1.64/0.72 # Removed by relevancy pruning/SinE : 53 1.64/0.72 # Initial clauses : 353 1.64/0.72 # Removed in clause preprocessing : 258 1.64/0.72 # Initial clauses in saturation : 95 1.64/0.72 # Processed clauses : 472 1.64/0.72 # ...of these trivial : 0 1.64/0.72 # ...subsumed : 59 1.64/0.72 # ...remaining for further processing : 413 1.64/0.72 # Other redundant clauses eliminated : 0 1.64/0.72 # Clauses deleted for lack of memory : 0 1.64/0.72 # Backward-subsumed : 4 1.64/0.72 # Backward-rewritten : 0 1.64/0.72 # Generated clauses : 6438 1.64/0.72 # ...of the previous two non-redundant : 6422 1.64/0.72 # ...aggressively subsumed : 0 1.64/0.72 # Contextual simplify-reflections : 1 1.64/0.72 # Paramodulations : 6437 1.64/0.72 # Factorizations : 0 1.64/0.72 # NegExts : 0 1.64/0.72 # Equation resolutions : 1 1.64/0.72 # Disequality decompositions : 0 1.64/0.72 # Total rewrite steps : 113 1.64/0.72 # ...of those cached : 109 1.64/0.72 # Propositional unsat checks : 0 1.64/0.72 # Propositional check models : 0 1.64/0.72 # Propositional check unsatisfiable : 0 1.64/0.72 # Propositional clauses : 0 1.64/0.72 # Propositional clauses after purity: 0 1.64/0.72 # Propositional unsat core size : 0 1.64/0.72 # Propositional preprocessing time : 0.000 1.64/0.72 # Propositional encoding time : 0.000 1.64/0.72 # Propositional solver time : 0.000 1.64/0.72 # Success case prop preproc time : 0.000 1.64/0.72 # Success case prop encoding time : 0.000 1.64/0.72 # Success case prop solver time : 0.000 1.64/0.72 # Current number of processed clauses : 332 1.64/0.72 # Positive orientable unit clauses : 9 1.64/0.72 # Positive unorientable unit clauses: 0 1.64/0.72 # Negative unit clauses : 1 1.64/0.72 # Non-unit-clauses : 322 1.64/0.72 # Current number of unprocessed clauses: 6047 1.64/0.72 # ...number of literals in the above : 33536 1.64/0.72 # Current number of archived formulas : 0 1.64/0.72 # Current number of archived clauses : 81 1.64/0.72 # Clause-clause subsumption calls (NU) : 13880 1.64/0.72 # Rec. Clause-clause subsumption calls : 3424 1.64/0.72 # Non-unit clause-clause subsumptions : 59 1.64/0.72 # Unit Clause-clause subsumption calls : 7 1.64/0.72 # Rewrite failures with RHS unbound : 0 1.64/0.72 # BW rewrite match attempts : 0 1.64/0.72 # BW rewrite match successes : 0 1.64/0.72 # Condensation attempts : 0 1.64/0.72 # Condensation successes : 0 1.64/0.72 # Termbank termtop insertions : 272985 1.64/0.72 # Search garbage collected termcells : 5598 1.64/0.72 1.64/0.72 # ------------------------------------------------- 1.64/0.72 # User time : 0.209 s 1.64/0.72 # System time : 0.012 s 1.64/0.72 # Total time : 0.221 s 1.64/0.72 # Maximum resident set size: 2792 pages 1.64/0.72 1.64/0.72 # ------------------------------------------------- 1.64/0.72 # User time : 0.213 s 1.64/0.72 # System time : 0.015 s 1.64/0.72 # Total time : 0.227 s 1.64/0.72 # Maximum resident set size: 1880 pages 1.64/0.72 % E exiting 1.64/0.72 % E exiting 1.64/0.72 EOF