2.33/2.38 % Problem : Vampire---4.8_2108 : TPTP v0.0.0. Released v0.0.0. 2.39/2.40 % Command : run_E %s %d THM 2.39/2.61 % Computer : n022.cluster.edu 2.39/2.61 % Model : x86_64 x86_64 2.39/2.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 2.39/2.61 % Memory : 8042.1875MB 2.39/2.61 % OS : Linux 3.10.0-693.el7.x86_64 2.39/2.61 % CPULimit : 1440 2.39/2.61 % WCLimit : 180 2.39/2.61 % DateTime : Mon Jul 3 13:04:02 EDT 2023 2.39/2.61 % CPUTime : 6.36/6.57 Running higher-order theorem provingRunning: /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.PpoPfySF6j/Vampire---4.8_2108 6.36/6.57 # Version: 3.1pre001-ho 79.57/17.07 # Preprocessing class: HMLLSMLLSSLNSFA. 79.57/17.07 # Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 79.57/17.07 # Starting new_bool_8 with 716s (4) cores 79.57/17.07 # Starting post_as_ho5 with 358s (2) cores 79.57/17.07 # Starting new_bool_9 with 179s (1) cores 79.57/17.07 # Starting new_bool_3 with 179s (1) cores 79.57/17.07 # post_as_ho5 with pid 2290 completed with status 0 79.57/17.07 # Result found by post_as_ho5 79.57/17.07 # Preprocessing class: HMLLSMLLSSLNSFA. 79.57/17.07 # Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 79.57/17.07 # Starting new_bool_8 with 716s (4) cores 79.57/17.07 # Starting post_as_ho5 with 358s (2) cores 79.57/17.07 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 79.57/17.07 # Search class: HGHSM-FSLM32-DSFFFFNN 79.57/17.07 # partial match(2): FGHSM-FSLM32-DFFFFFNN 79.57/17.07 # Scheduled 13 strats onto 2 cores with 358 seconds (358 total) 79.57/17.07 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 27s (1) cores 79.57/17.07 # Starting post_as_ho5 with 36s (1) cores 79.57/17.07 # post_as_ho5 with pid 2298 completed with status 0 79.57/17.07 # Result found by post_as_ho5 79.57/17.07 # Preprocessing class: HMLLSMLLSSLNSFA. 79.57/17.07 # Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 79.57/17.07 # Starting new_bool_8 with 716s (4) cores 79.57/17.07 # Starting post_as_ho5 with 358s (2) cores 79.57/17.07 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 79.57/17.07 # Search class: HGHSM-FSLM32-DSFFFFNN 79.57/17.07 # partial match(2): FGHSM-FSLM32-DFFFFFNN 79.57/17.07 # Scheduled 13 strats onto 2 cores with 358 seconds (358 total) 79.57/17.07 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 27s (1) cores 79.57/17.07 # Starting post_as_ho5 with 36s (1) cores 79.57/17.07 # Preprocessing time : 0.036 s 79.57/17.07 # Presaturation interreduction done 79.57/17.07 79.57/17.07 # Proof found! 79.57/17.07 # SZS status Theorem 79.57/17.07 # SZS output start CNFRefutation 79.57/17.07 thf(decl_24, type, arr: del > del > del). 79.57/17.07 thf(decl_25, type, mem: $i > del > $o). 79.57/17.07 thf(decl_26, type, ap: $i > $i > $i). 79.57/17.07 thf(decl_28, type, p: $i > $o). 79.57/17.07 thf(decl_1313, type, ty_2Einteger_2Eint: del). 79.57/17.07 thf(decl_1314, type, inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i). 79.57/17.07 thf(decl_1315, type, surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint). 79.57/17.07 thf(decl_1330, type, c_2Einteger_2Eint__add: $i). 79.57/17.07 thf(decl_1334, type, c_2Einteger_2Eint__divides: $i). 79.57/17.07 thf(decl_1349, type, c_2Einteger_2Eint__neg: $i). 79.57/17.07 thf(decl_1357, type, c_2Einteger_2Eint__sub: $i). 79.57/17.07 thf(decl_1377, type, esk1_0: tp__ty_2Einteger_2Eint). 79.57/17.07 thf(decl_1378, type, esk2_0: tp__ty_2Einteger_2Eint). 79.57/17.07 thf(decl_1379, type, esk3_0: tp__ty_2Einteger_2Eint). 79.57/17.07 thf(stp_iso_mem_ty_2Einteger_2Eint, axiom, ![X17412:$i]:(((mem @ X17412 @ ty_2Einteger_2Eint)=>((X17412)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X17412))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', stp_iso_mem_ty_2Einteger_2Eint)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__NEGNEG, axiom, ![X17495:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17495))))=(X17495))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__NEGNEG)). 79.57/17.07 thf(ap_tp, axiom, ![X2:del, X5:del, X6:$i]:(((mem @ X6 @ (arr @ X2 @ X5))=>![X7:$i]:(((mem @ X7 @ X2)=>(mem @ (ap @ X6 @ X7) @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', ap_tp)). 79.57/17.07 thf(mem_c_2Einteger_2Eint__neg, axiom, (mem @ c_2Einteger_2Eint__neg @ (arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint)), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', mem_c_2Einteger_2Eint__neg)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__NEG__EQ, axiom, ![X17259:tp__ty_2Einteger_2Eint, X17260:tp__ty_2Einteger_2Eint]:((((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17259)))=(X17260))<=>((X17259)=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17260)))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__NEG__EQ)). 79.57/17.07 thf(stp_inj_mem_ty_2Einteger_2Eint, axiom, ![X17733:tp__ty_2Einteger_2Eint]:((mem @ (inj__ty_2Einteger_2Eint @ X17733) @ ty_2Einteger_2Eint)), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', stp_inj_mem_ty_2Einteger_2Eint)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__DIVIDES__NEG, axiom, ![X17610:tp__ty_2Einteger_2Eint, X17611:tp__ty_2Einteger_2Eint]:((((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17610)) @ (inj__ty_2Einteger_2Eint @ X17611)))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17610)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17611)))))&((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17610)) @ (inj__ty_2Einteger_2Eint @ X17611)))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17610))) @ (inj__ty_2Einteger_2Eint @ X17611)))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__DIVIDES__NEG)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__DIVIDES__REFL, axiom, ![X17539:tp__ty_2Einteger_2Eint]:((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17539)) @ (inj__ty_2Einteger_2Eint @ X17539)))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__DIVIDES__REFL)). 79.57/17.07 thf(stp_inj_surj_ty_2Einteger_2Eint, axiom, ![X17374:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X17374))=(X17374))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', stp_inj_surj_ty_2Einteger_2Eint)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__DIVIDES__RSUB, conjecture, ![X17504:tp__ty_2Einteger_2Eint, X17505:tp__ty_2Einteger_2Eint, X17506:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17504)) @ (inj__ty_2Einteger_2Eint @ X17505)))=>((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17504)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17506)) @ (inj__ty_2Einteger_2Eint @ X17505))))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17504)) @ (inj__ty_2Einteger_2Eint @ X17506)))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__DIVIDES__RSUB)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__EQ__SUB__LADD, axiom, ![X17461:tp__ty_2Einteger_2Eint, X17462:tp__ty_2Einteger_2Eint, X17463:tp__ty_2Einteger_2Eint]:((((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17461)) @ (inj__ty_2Einteger_2Eint @ X17463)))=(X17462))<=>((X17461)=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17462)) @ (inj__ty_2Einteger_2Eint @ X17463)))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__EQ__SUB__LADD)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__DIVIDES__TRANS, axiom, ![X17388:tp__ty_2Einteger_2Eint, X17389:tp__ty_2Einteger_2Eint, X17390:tp__ty_2Einteger_2Eint]:((((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17388)) @ (inj__ty_2Einteger_2Eint @ X17389)))&(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17389)) @ (inj__ty_2Einteger_2Eint @ X17390))))=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17388)) @ (inj__ty_2Einteger_2Eint @ X17390))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__DIVIDES__TRANS)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__DIVIDES__LSUB, axiom, ![X17716:tp__ty_2Einteger_2Eint, X17717:tp__ty_2Einteger_2Eint, X17718:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17716)) @ (inj__ty_2Einteger_2Eint @ X17717)))=>((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17716)) @ (inj__ty_2Einteger_2Eint @ X17718)))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17716)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17717)) @ (inj__ty_2Einteger_2Eint @ X17718))))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__DIVIDES__LSUB)). 79.57/17.07 thf(mem_c_2Einteger_2Eint__sub, axiom, (mem @ c_2Einteger_2Eint__sub @ (arr @ ty_2Einteger_2Eint @ (arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', mem_c_2Einteger_2Eint__sub)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__SUB__SUB2, axiom, ![X17370:tp__ty_2Einteger_2Eint, X17371:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17370)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17370)) @ (inj__ty_2Einteger_2Eint @ X17371))))=(X17371))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__SUB__SUB2)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__EQ__SUB__RADD, axiom, ![X17479:tp__ty_2Einteger_2Eint, X17480:tp__ty_2Einteger_2Eint, X17481:tp__ty_2Einteger_2Eint]:((((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17479)) @ (inj__ty_2Einteger_2Eint @ X17480)))=(X17481))<=>((X17479)=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17481)) @ (inj__ty_2Einteger_2Eint @ X17480)))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__EQ__SUB__RADD)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__ADD__SYM, axiom, ![X17493:tp__ty_2Einteger_2Eint, X17494:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17494)) @ (inj__ty_2Einteger_2Eint @ X17493)))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17493)) @ (inj__ty_2Einteger_2Eint @ X17494))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__ADD__SYM)). 79.57/17.07 thf(conj_thm_2Einteger_2EINT__NEG__SUB, axiom, ![X17269:tp__ty_2Einteger_2Eint, X17270:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17269)) @ (inj__ty_2Einteger_2Eint @ X17270))))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17270)) @ (inj__ty_2Einteger_2Eint @ X17269))))), file('/export/starexec/sandbox2/tmp/tmp.PpoPfySF6j/Vampire---4.8_2108', conj_thm_2Einteger_2EINT__NEG__SUB)). 79.57/17.07 thf(c_0_18, plain, ![X19866:$i]:((~(mem @ X19866 @ ty_2Einteger_2Eint)|((X19866)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X19866))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Einteger_2Eint])])). 79.57/17.07 thf(c_0_19, plain, ![X19914:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19914))))=(X19914))), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2EINT__NEGNEG])). 79.57/17.07 thf(c_0_20, plain, ![X19234:del, X19235:del, X19236:$i, X19237:$i]:((~(mem @ X19236 @ (arr @ X19234 @ X19235))|(~(mem @ X19237 @ X19234)|(mem @ (ap @ X19236 @ X19237) @ X19235)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])). 79.57/17.07 thf(c_0_21, plain, ![X4:$i]:((((X4)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(split_conjunct,[status(thm)],[c_0_18])). 79.57/17.07 thf(c_0_22, plain, ![X17229:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229))))=(X17229))), inference(split_conjunct,[status(thm)],[c_0_19])). 79.57/17.07 thf(c_0_23, plain, ![X4:$i, X6:$i, X5:del, X2:del]:(((mem @ (ap @ X4 @ X6) @ X5)|~((mem @ X4 @ (arr @ X2 @ X5)))|~((mem @ X6 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_20])). 79.57/17.07 thf(c_0_24, plain, (mem @ c_2Einteger_2Eint__neg @ (arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint)), inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__neg])). 79.57/17.07 thf(c_0_25, plain, ![X19892:tp__ty_2Einteger_2Eint, X19893:tp__ty_2Einteger_2Eint]:(((((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19892)))!=(X19893))|((X19892)=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19893)))))&(((X19892)!=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19893))))|((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19892)))=(X19893))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__EQ])])). 79.57/17.07 thf(c_0_26, plain, ![X17229:tp__ty_2Einteger_2Eint]:((((ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)))=(inj__ty_2Einteger_2Eint @ X17229))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229))) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 79.57/17.07 thf(c_0_27, plain, ![X4:$i]:(((mem @ (ap @ c_2Einteger_2Eint__neg @ X4) @ ty_2Einteger_2Eint)|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 79.57/17.07 thf(c_0_28, plain, ![X19867:tp__ty_2Einteger_2Eint]:((mem @ (inj__ty_2Einteger_2Eint @ X19867) @ ty_2Einteger_2Eint)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Einteger_2Eint])). 79.57/17.07 thf(c_0_29, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:((((X17229)=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17230))))|((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)))!=(X17230)))), inference(split_conjunct,[status(thm)],[c_0_25])). 79.57/17.07 thf(c_0_30, plain, ![X17229:tp__ty_2Einteger_2Eint]:((((ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)))=(inj__ty_2Einteger_2Eint @ X17229))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 79.57/17.07 thf(c_0_31, plain, ![X17229:tp__ty_2Einteger_2Eint]:((mem @ (inj__ty_2Einteger_2Eint @ X17229) @ ty_2Einteger_2Eint)), inference(split_conjunct,[status(thm)],[c_0_28])). 79.57/17.07 thf(c_0_32, plain, ![X17229:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229))))))=(X17229))), inference(er,[status(thm)],[c_0_29])). 79.57/17.07 thf(c_0_33, plain, ![X19077:tp__ty_2Einteger_2Eint, X19078:tp__ty_2Einteger_2Eint]:((((~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19077)) @ (inj__ty_2Einteger_2Eint @ X19078)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19077)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19078)))))&(~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19077)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19078))))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19077)) @ (inj__ty_2Einteger_2Eint @ X19078)))))&((~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19077)) @ (inj__ty_2Einteger_2Eint @ X19078)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19077))) @ (inj__ty_2Einteger_2Eint @ X19078))))&(~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19077))) @ (inj__ty_2Einteger_2Eint @ X19078)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19077)) @ (inj__ty_2Einteger_2Eint @ X19078))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__NEG])])). 79.57/17.07 thf(c_0_34, plain, ![X19064:tp__ty_2Einteger_2Eint]:((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19064)) @ (inj__ty_2Einteger_2Eint @ X19064)))), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__REFL])). 79.57/17.07 thf(c_0_35, plain, ![X17229:tp__ty_2Einteger_2Eint]:(((ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)))=(inj__ty_2Einteger_2Eint @ X17229))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_27]), c_0_31])])). 79.57/17.07 thf(c_0_36, plain, ![X17229:tp__ty_2Einteger_2Eint]:((((ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)))))=(inj__ty_2Einteger_2Eint @ X17229))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229))))) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_21, c_0_32])). 79.57/17.07 thf(c_0_37, plain, ![X19209:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X19209))=(X19209))), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Einteger_2Eint])). 79.57/17.07 thf(c_0_38, negated_conjecture, ~(![X17504:tp__ty_2Einteger_2Eint, X17505:tp__ty_2Einteger_2Eint, X17506:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17504)) @ (inj__ty_2Einteger_2Eint @ X17505)))=>((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17504)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17506)) @ (inj__ty_2Einteger_2Eint @ X17505))))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17504)) @ (inj__ty_2Einteger_2Eint @ X17506))))))), inference(assume_negation,[status(cth)],[conj_thm_2Einteger_2EINT__DIVIDES__RSUB])). 79.57/17.07 thf(c_0_39, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17230))))))), inference(split_conjunct,[status(thm)],[c_0_33])). 79.57/17.07 thf(c_0_40, plain, ![X17229:tp__ty_2Einteger_2Eint]:((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17229)))), inference(split_conjunct,[status(thm)],[c_0_34])). 79.57/17.07 thf(c_0_41, plain, ![X4:$i]:((((ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ X4))=(X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_35, c_0_21])). 79.57/17.07 thf(c_0_42, plain, ![X17229:tp__ty_2Einteger_2Eint]:(((ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)))))=(inj__ty_2Einteger_2Eint @ X17229))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_27]), c_0_31])])). 79.57/17.07 thf(c_0_43, plain, ![X4:$i]:((((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ X4)))))=(surj__ty_2Einteger_2Eint @ X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_32, c_0_21])). 79.57/17.07 thf(c_0_44, plain, ![X17229:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X17229))=(X17229))), inference(split_conjunct,[status(thm)],[c_0_37])). 79.57/17.07 thf(c_0_45, plain, ![X19115:tp__ty_2Einteger_2Eint, X19116:tp__ty_2Einteger_2Eint, X19117:tp__ty_2Einteger_2Eint]:(((((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X19115)) @ (inj__ty_2Einteger_2Eint @ X19117)))!=(X19116))|((X19115)=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19116)) @ (inj__ty_2Einteger_2Eint @ X19117)))))&(((X19115)!=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19116)) @ (inj__ty_2Einteger_2Eint @ X19117))))|((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X19115)) @ (inj__ty_2Einteger_2Eint @ X19117)))=(X19116))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__EQ__SUB__LADD])])). 79.57/17.07 thf(c_0_46, plain, ![X19059:tp__ty_2Einteger_2Eint, X19060:tp__ty_2Einteger_2Eint, X19061:tp__ty_2Einteger_2Eint]:((~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19059)) @ (inj__ty_2Einteger_2Eint @ X19060)))|~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19060)) @ (inj__ty_2Einteger_2Eint @ X19061)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19059)) @ (inj__ty_2Einteger_2Eint @ X19061))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__TRANS])])). 79.57/17.07 thf(c_0_47, negated_conjecture, ((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)))&((~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0))))|~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0))))&((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0))))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])). 79.57/17.07 thf(c_0_48, plain, ![X19084:tp__ty_2Einteger_2Eint, X19085:tp__ty_2Einteger_2Eint, X19086:tp__ty_2Einteger_2Eint]:(((~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19084)) @ (inj__ty_2Einteger_2Eint @ X19086)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19084)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19085)) @ (inj__ty_2Einteger_2Eint @ X19086))))|~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19084)) @ (inj__ty_2Einteger_2Eint @ X19085))))&(~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19084)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19085)) @ (inj__ty_2Einteger_2Eint @ X19086))))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19084)) @ (inj__ty_2Einteger_2Eint @ X19086)))|~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X19084)) @ (inj__ty_2Einteger_2Eint @ X19085)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__LSUB])])])). 79.57/17.07 thf(c_0_49, plain, ![X17229:tp__ty_2Einteger_2Eint, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (inj__ty_2Einteger_2Eint @ X17229)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)))))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_39, c_0_21])). 79.57/17.07 thf(c_0_50, plain, ![X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_40, c_0_21])). 79.57/17.07 thf(c_0_51, plain, ![X17229:tp__ty_2Einteger_2Eint]:(((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229))))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_31])])). 79.57/17.07 thf(c_0_52, plain, ![X4:$i]:((((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_43]), c_0_44]), c_0_31])])). 79.57/17.07 thf(c_0_53, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint, X17231:tp__ty_2Einteger_2Eint]:((((X17229)=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17231)) @ (inj__ty_2Einteger_2Eint @ X17230))))|((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))!=(X17231)))), inference(split_conjunct,[status(thm)],[c_0_45])). 79.57/17.07 thf(c_0_54, plain, (mem @ c_2Einteger_2Eint__sub @ (arr @ ty_2Einteger_2Eint @ (arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint))), inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__sub])). 79.57/17.07 thf(c_0_55, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint, X17231:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17231)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17230)) @ (inj__ty_2Einteger_2Eint @ X17231)))))), inference(split_conjunct,[status(thm)],[c_0_46])). 79.57/17.07 thf(c_0_56, negated_conjecture, (~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0))))), inference(split_conjunct,[status(thm)],[c_0_47])). 79.57/17.07 thf(c_0_57, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint, X17231:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17231)) @ (inj__ty_2Einteger_2Eint @ X17230))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17231)))))), inference(split_conjunct,[status(thm)],[c_0_48])). 79.57/17.07 thf(c_0_58, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_47])). 79.57/17.07 thf(c_0_59, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229))) @ (inj__ty_2Einteger_2Eint @ X17230)))))), inference(split_conjunct,[status(thm)],[c_0_33])). 79.57/17.07 thf(c_0_60, plain, ![X17229:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229))) @ (inj__ty_2Einteger_2Eint @ X17229)))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 79.57/17.07 thf(c_0_61, plain, ![X4:$i]:((((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ X4)))=(ap @ c_2Einteger_2Eint__neg @ X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_51, c_0_21])). 79.57/17.07 thf(c_0_62, plain, ![X4:$i]:((((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ X4)))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 79.57/17.07 thf(c_0_63, plain, ![X19104:tp__ty_2Einteger_2Eint, X19105:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19104)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19104)) @ (inj__ty_2Einteger_2Eint @ X19105))))=(X19105))), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2EINT__SUB__SUB2])). 79.57/17.07 thf(c_0_64, plain, ![X17230:tp__ty_2Einteger_2Eint, X17229:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))) @ (inj__ty_2Einteger_2Eint @ X17230)))=(X17229))), inference(er,[status(thm)],[c_0_53])). 79.57/17.07 thf(c_0_65, plain, ![X4:$i]:(((mem @ (ap @ c_2Einteger_2Eint__sub @ X4) @ (arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_23, c_0_54])). 79.57/17.07 thf(c_0_66, plain, ![X19122:tp__ty_2Einteger_2Eint, X19123:tp__ty_2Einteger_2Eint, X19124:tp__ty_2Einteger_2Eint]:(((((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19122)) @ (inj__ty_2Einteger_2Eint @ X19123)))!=(X19124))|((X19122)=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X19124)) @ (inj__ty_2Einteger_2Eint @ X19123)))))&(((X19122)!=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X19124)) @ (inj__ty_2Einteger_2Eint @ X19123))))|((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19122)) @ (inj__ty_2Einteger_2Eint @ X19123)))=(X19124))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__EQ__SUB__RADD])])). 79.57/17.07 thf(c_0_67, plain, ![X19876:tp__ty_2Einteger_2Eint, X19877:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X19877)) @ (inj__ty_2Einteger_2Eint @ X19876)))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X19876)) @ (inj__ty_2Einteger_2Eint @ X19877))))), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2EINT__ADD__SYM])). 79.57/17.07 thf(c_0_68, plain, ![X4:$i]:((((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ X4)))=(surj__ty_2Einteger_2Eint @ X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_22, c_0_21])). 79.57/17.07 thf(c_0_69, plain, ![X17230:tp__ty_2Einteger_2Eint, X17229:tp__ty_2Einteger_2Eint, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ X4))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17230)) @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_55, c_0_21])). 79.57/17.07 thf(c_0_70, negated_conjecture, ((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0))))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_47])). 79.57/17.07 thf(c_0_71, negated_conjecture, ~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58])])). 79.57/17.07 thf(c_0_72, plain, ![X17229:tp__ty_2Einteger_2Eint, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ X4))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229))) @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_59, c_0_21])). 79.57/17.07 thf(c_0_73, plain, ![X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ X4)) @ X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_21]), c_0_27])). 79.57/17.07 thf(c_0_74, plain, ![X4:$i]:((((ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4)))=(ap @ c_2Einteger_2Eint__neg @ X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_61, c_0_62])). 79.57/17.07 thf(c_0_75, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))=(X17230))), inference(split_conjunct,[status(thm)],[c_0_63])). 79.57/17.07 thf(c_0_76, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:((((ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))) @ (inj__ty_2Einteger_2Eint @ X17230))=(inj__ty_2Einteger_2Eint @ X17229))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))) @ (inj__ty_2Einteger_2Eint @ X17230)) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_21, c_0_64])). 79.57/17.07 thf(c_0_77, plain, ![X6:$i, X4:$i]:(((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ X4) @ X6) @ ty_2Einteger_2Eint)|~((mem @ X6 @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_23, c_0_65])). 79.57/17.07 thf(c_0_78, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint, X17231:tp__ty_2Einteger_2Eint]:((((X17229)=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17231)) @ (inj__ty_2Einteger_2Eint @ X17230))))|((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))!=(X17231)))), inference(split_conjunct,[status(thm)],[c_0_66])). 79.57/17.07 thf(c_0_79, plain, ![X17230:tp__ty_2Einteger_2Eint, X17229:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17230)) @ (inj__ty_2Einteger_2Eint @ X17229))))), inference(split_conjunct,[status(thm)],[c_0_67])). 79.57/17.07 thf(c_0_80, plain, ![X4:$i]:((((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))=(ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ X4)))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ X4)) @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_21, c_0_68])). 79.57/17.07 thf(c_0_81, plain, ![X4:$i, X17229:tp__ty_2Einteger_2Eint, X6:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ X4))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ X6)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X6) @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint))|~((mem @ X6 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_69, c_0_21])). 79.57/17.07 thf(c_0_82, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)))), inference(sr,[status(thm)],[c_0_70, c_0_71])). 79.57/17.07 thf(c_0_83, plain, ![X6:$i, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ X6))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ X4)) @ X6)))|~((mem @ X6 @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_72, c_0_21])). 79.57/17.07 thf(c_0_84, plain, ![X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ X4)) @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_31])])). 79.57/17.07 thf(c_0_85, plain, ![X19102:tp__ty_2Einteger_2Eint, X19103:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19102)) @ (inj__ty_2Einteger_2Eint @ X19103))))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X19103)) @ (inj__ty_2Einteger_2Eint @ X19102))))), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__SUB])). 79.57/17.07 thf(c_0_86, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:((((ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))=(inj__ty_2Einteger_2Eint @ X17230))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_21, c_0_75])). 79.57/17.07 thf(c_0_87, plain, ![X17230:tp__ty_2Einteger_2Eint, X17229:tp__ty_2Einteger_2Eint]:(((ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))) @ (inj__ty_2Einteger_2Eint @ X17230))=(inj__ty_2Einteger_2Eint @ X17229))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_31]), c_0_31])])). 79.57/17.07 thf(c_0_88, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__add @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17230)) @ (inj__ty_2Einteger_2Eint @ X17229))))))=(X17230))), inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_78]), c_0_79])). 79.57/17.07 thf(c_0_89, plain, ![X4:$i]:((((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))=(ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_27]), c_0_27])). 79.57/17.07 thf(c_0_90, negated_conjecture, ![X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ X4))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0))) @ X4)))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_81, c_0_82])). 79.57/17.07 thf(c_0_91, plain, ![X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_31])])). 79.57/17.07 thf(c_0_92, plain, ![X17230:tp__ty_2Einteger_2Eint, X17229:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17230)) @ (inj__ty_2Einteger_2Eint @ X17229))))), inference(split_conjunct,[status(thm)],[c_0_85])). 79.57/17.07 thf(c_0_93, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:((((ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))=(inj__ty_2Einteger_2Eint @ X17230))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)) @ ty_2Einteger_2Eint)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_77]), c_0_31])])). 79.57/17.07 thf(c_0_94, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:(((ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))))=(inj__ty_2Einteger_2Eint @ X17230))), inference(spm,[status(thm)],[c_0_87, c_0_88])). 79.57/17.07 thf(c_0_95, plain, ![X4:$i]:(((mem @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ X4)) @ ty_2Einteger_2Eint)|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_31, c_0_89])). 79.57/17.07 thf(c_0_96, negated_conjecture, ((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0))))))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_31])])). 79.57/17.07 thf(c_0_97, plain, ![X17230:tp__ty_2Einteger_2Eint, X17229:tp__ty_2Einteger_2Eint]:((((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))=(ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17230)) @ (inj__ty_2Einteger_2Eint @ X17229))))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17230)) @ (inj__ty_2Einteger_2Eint @ X17229))) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_21, c_0_92])). 79.57/17.07 thf(c_0_98, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:(((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))=(ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_31])])). 79.57/17.07 thf(c_0_99, plain, ![X17229:tp__ty_2Einteger_2Eint]:((mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17229)) @ ty_2Einteger_2Eint)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_42]), c_0_31])])). 79.57/17.07 thf(c_0_100, negated_conjecture, ((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0)))))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0))) @ ty_2Einteger_2Eint))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint))), inference(spm,[status(thm)],[c_0_96, c_0_97])). 79.57/17.07 thf(c_0_101, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)) @ ty_2Einteger_2Eint)), inference(spm,[status(thm)],[c_0_31, c_0_98])). 79.57/17.07 thf(c_0_102, plain, ![X17229:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:((mem @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))) @ ty_2Einteger_2Eint)), inference(spm,[status(thm)],[c_0_99, c_0_98])). 79.57/17.07 thf(c_0_103, plain, ![X17229:tp__ty_2Einteger_2Eint, X17231:tp__ty_2Einteger_2Eint, X17230:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17231)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17230)) @ (inj__ty_2Einteger_2Eint @ X17231)))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230)))))), inference(split_conjunct,[status(thm)],[c_0_48])). 79.57/17.07 thf(c_0_104, plain, ![X17229:tp__ty_2Einteger_2Eint, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ X4))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (ap @ c_2Einteger_2Eint__neg @ X4))))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_39, c_0_21])). 79.57/17.07 thf(c_0_105, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100, c_0_101])]), c_0_102])])). 79.57/17.07 thf(c_0_106, plain, ![X17230:tp__ty_2Einteger_2Eint, X17229:tp__ty_2Einteger_2Eint, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ X4))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17230)) @ X4))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17229)) @ (inj__ty_2Einteger_2Eint @ X17230))))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_103, c_0_21])). 79.57/17.07 thf(c_0_107, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_101])])). 79.57/17.07 thf(c_0_108, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_58]), c_0_31])]), c_0_71]), ['proof']). 79.57/17.07 # SZS output end CNFRefutation 79.57/17.07 # Parsed axioms : 9711 79.57/17.07 # Removed by relevancy pruning/SinE : 9252 79.57/17.07 # Initial clauses : 1859 79.57/17.07 # Removed in clause preprocessing : 887 79.57/17.07 # Initial clauses in saturation : 972 79.57/17.07 # Processed clauses : 11497 79.57/17.07 # ...of these trivial : 136 79.57/17.07 # ...subsumed : 7279 79.57/17.07 # ...remaining for further processing : 4082 79.57/17.07 # Other redundant clauses eliminated : 325 79.57/17.07 # Clauses deleted for lack of memory : 0 79.57/17.07 # Backward-subsumed : 329 79.57/17.07 # Backward-rewritten : 130 79.57/17.07 # Generated clauses : 183794 79.57/17.07 # ...of the previous two non-redundant : 178213 79.57/17.07 # ...aggressively subsumed : 0 79.57/17.07 # Contextual simplify-reflections : 52 79.57/17.07 # Paramodulations : 183455 79.57/17.07 # Factorizations : 6 79.57/17.07 # NegExts : 0 79.57/17.07 # Equation resolutions : 336 79.57/17.07 # Total rewrite steps : 32237 79.57/17.07 # Propositional unsat checks : 2 79.57/17.07 # Propositional check models : 1 79.57/17.07 # Propositional check unsatisfiable : 0 79.57/17.07 # Propositional clauses : 0 79.57/17.07 # Propositional clauses after purity: 0 79.57/17.07 # Propositional unsat core size : 0 79.57/17.07 # Propositional preprocessing time : 0.000 79.57/17.07 # Propositional encoding time : 0.694 79.57/17.07 # Propositional solver time : 0.121 79.57/17.07 # Success case prop preproc time : 0.000 79.57/17.07 # Success case prop encoding time : 0.000 79.57/17.07 # Success case prop solver time : 0.000 79.57/17.07 # Current number of processed clauses : 2673 79.57/17.07 # Positive orientable unit clauses : 193 79.57/17.07 # Positive unorientable unit clauses: 7 79.57/17.07 # Negative unit clauses : 21 79.57/17.07 # Non-unit-clauses : 2452 79.57/17.07 # Current number of unprocessed clauses: 164929 79.57/17.07 # ...number of literals in the above : 939104 79.57/17.07 # Current number of archived formulas : 0 79.57/17.07 # Current number of archived clauses : 1344 79.57/17.07 # Clause-clause subsumption calls (NU) : 787510 79.57/17.07 # Rec. Clause-clause subsumption calls : 282050 79.57/17.07 # Non-unit clause-clause subsumptions : 6776 79.57/17.07 # Unit Clause-clause subsumption calls : 6017 79.57/17.07 # Rewrite failures with RHS unbound : 0 79.57/17.07 # BW rewrite match attempts : 12590 79.57/17.07 # BW rewrite match successes : 81 79.57/17.07 # Condensation attempts : 0 79.57/17.07 # Condensation successes : 0 79.57/17.07 # Termbank termtop insertions : 28809274 79.57/17.07 79.57/17.07 # ------------------------------------------------- 79.57/17.07 # User time : 8.946 s 79.57/17.07 # System time : 0.228 s 79.57/17.07 # Total time : 9.174 s 79.57/17.07 # Maximum resident set size: 50528 pages 80.22/17.16 80.22/17.16 # ------------------------------------------------- 80.22/17.16 # User time : 18.945 s 80.22/17.16 # System time : 0.366 s 80.22/17.16 # Total time : 19.311 s 80.22/17.16 # Maximum resident set size: 44928 pages 80.22/17.16 % E---3.1 exiting 80.22/17.17 EOF