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 0.12/0.38 % Computer : n019.cluster.edu 0.12/0.38 % Model : x86_64 x86_64 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.38 % Memory : 8046.5625MB 0.12/0.38 % OS : Linux 6.8.0-71-generic 0.12/0.38 % CPULimit : 1440 0.12/0.38 % WCLimit : 180 0.12/0.38 % DateTime : Mon Jul 27 14:55:08 UTC 2026 0.12/0.38 % CPUTime : 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.43 Running higher-order theorem proving 4.23/4.52 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.mLeUAWT0p1/E---3.1_2570290.p 70.99/16.25 % Version: 3.5.1-ho 70.99/16.25 % Preprocessing class: HMLLSMLLSSLNSFA. 70.99/16.25 % Scheduled 4 strats onto 8 cores with 178 seconds (1424 total) 70.99/16.25 % Starting new_bool_8 with 712s (4) cores 70.99/16.25 % Starting post_as_ho5 with 356s (2) cores 70.99/16.25 % Starting new_bool_9 with 178s (1) cores 70.99/16.25 % Starting new_bool_3 with 178s (1) cores 70.99/16.25 % post_as_ho5 with pid 2570304 completed with status 0 70.99/16.25 % Result found by post_as_ho5 70.99/16.25 % Preprocessing class: HMLLSMLLSSLNSFA. 70.99/16.25 % Scheduled 4 strats onto 8 cores with 178 seconds (1424 total) 70.99/16.25 % Starting new_bool_8 with 712s (4) cores 70.99/16.25 % Starting post_as_ho5 with 356s (2) cores 70.99/16.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)) 70.99/16.25 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 70.99/16.25 % Search class: HGHSM-FSLM32-DSFFFFNN 70.99/16.25 % partial match(2): FGHSM-FSLM32-DFFFFFNN 70.99/16.25 % Scheduled 13 strats onto 2 cores with 356 seconds (356 total) 70.99/16.25 % Starting SubtermCWHack with 33s (1) cores 70.99/16.25 % Starting post_as_ho5 with 36s (1) cores 70.99/16.25 % post_as_ho5 with pid 2570313 completed with status 0 70.99/16.25 % Result found by post_as_ho5 70.99/16.25 % Preprocessing class: HMLLSMLLSSLNSFA. 70.99/16.25 % Scheduled 4 strats onto 8 cores with 178 seconds (1424 total) 70.99/16.25 % Starting new_bool_8 with 712s (4) cores 70.99/16.25 % Starting post_as_ho5 with 356s (2) cores 70.99/16.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)) 70.99/16.25 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 70.99/16.25 % Search class: HGHSM-FSLM32-DSFFFFNN 70.99/16.25 % partial match(2): FGHSM-FSLM32-DFFFFFNN 70.99/16.25 % Scheduled 13 strats onto 2 cores with 356 seconds (356 total) 70.99/16.25 % Starting SubtermCWHack with 33s (1) cores 70.99/16.25 % Starting post_as_ho5 with 36s (1) cores 70.99/16.25 % Preprocessing time : 0.088 s 70.99/16.25 % Presaturation interreduction done 70.99/16.25 70.99/16.25 % Proof found! 70.99/16.25 % SZS status Theorem 70.99/16.25 % SZS output start CNFRefutation 70.99/16.25 thf(decl_sort1, type, del: $tType). 70.99/16.25 thf(decl_sort2, type, tp__ty_2Einteger_2Eint: $tType). 70.99/16.25 thf(decl_25, type, arr: del > del > del). 70.99/16.25 thf(decl_26, type, mem: $i > del > $o). 70.99/16.25 thf(decl_27, type, ap: $i > $i > $i). 70.99/16.25 thf(decl_29, type, p: $i > $o). 70.99/16.25 thf(decl_1314, type, ty_2Einteger_2Eint: del). 70.99/16.25 thf(decl_1315, type, inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i). 70.99/16.25 thf(decl_1316, type, surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint). 70.99/16.25 thf(decl_1335, type, c_2Einteger_2Eint__divides: $i). 70.99/16.25 thf(decl_1350, type, c_2Einteger_2Eint__neg: $i). 70.99/16.25 thf(decl_1358, type, c_2Einteger_2Eint__sub: $i). 70.99/16.25 thf(decl_1378, type, esk1_0: tp__ty_2Einteger_2Eint). 70.99/16.25 thf(decl_1379, type, esk2_0: tp__ty_2Einteger_2Eint). 70.99/16.25 thf(decl_1380, type, esk3_0: tp__ty_2Einteger_2Eint). 70.99/16.25 thf(stp_iso_mem_ty_2Einteger_2Eint, axiom, ![X4:$i]:((((X4)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4)))<=(mem @ X4 @ ty_2Einteger_2Eint))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', stp_iso_mem_ty_2Einteger_2Eint)). 70.99/16.25 thf(conj_thm_2Einteger_2EINT__DIVIDES__RSUB, conjecture, ![X17366:tp__ty_2Einteger_2Eint, X17367:tp__ty_2Einteger_2Eint, X17368:tp__ty_2Einteger_2Eint]:((((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17366)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17368)) @ (inj__ty_2Einteger_2Eint @ X17367))))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17366)) @ (inj__ty_2Einteger_2Eint @ X17368))))<=(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17366)) @ (inj__ty_2Einteger_2Eint @ X17367))))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', conj_thm_2Einteger_2EINT__DIVIDES__RSUB)). 70.99/16.25 thf(conj_thm_2Einteger_2EINT__NEGNEG, axiom, ![X17239:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17239))))=(X17239))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', conj_thm_2Einteger_2EINT__NEGNEG)). 70.99/16.25 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.mLeUAWT0p1/E---3.1_2570290.p', ap_tp)). 70.99/16.25 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.mLeUAWT0p1/E---3.1_2570290.p', mem_c_2Einteger_2Eint__neg)). 70.99/16.25 thf(conj_thm_2Einteger_2EINT__NEG__EQ, axiom, ![X17017:tp__ty_2Einteger_2Eint, X17018:tp__ty_2Einteger_2Eint]:((((X17017)=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17018))))<=>((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17017)))=(X17018)))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', conj_thm_2Einteger_2EINT__NEG__EQ)). 70.99/16.25 thf(conj_thm_2Einteger_2EINT__DIVIDES__TRANS, axiom, ![X17153:tp__ty_2Einteger_2Eint, X17154:tp__ty_2Einteger_2Eint, X17155:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17153)) @ (inj__ty_2Einteger_2Eint @ X17155)))<=((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17154)) @ (inj__ty_2Einteger_2Eint @ X17155)))&(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17153)) @ (inj__ty_2Einteger_2Eint @ X17154)))))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', conj_thm_2Einteger_2EINT__DIVIDES__TRANS)). 70.99/16.25 thf(conj_thm_2Einteger_2EINT__DIVIDES__LSUB, axiom, ![X17428:tp__ty_2Einteger_2Eint, X17429:tp__ty_2Einteger_2Eint, X17430:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17428)) @ (inj__ty_2Einteger_2Eint @ X17429)))=>((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17428)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17429)) @ (inj__ty_2Einteger_2Eint @ X17430))))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17428)) @ (inj__ty_2Einteger_2Eint @ X17430)))))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', conj_thm_2Einteger_2EINT__DIVIDES__LSUB)). 70.99/16.25 thf(stp_inj_mem_ty_2Einteger_2Eint, axiom, ![X17445:tp__ty_2Einteger_2Eint]:((mem @ (inj__ty_2Einteger_2Eint @ X17445) @ ty_2Einteger_2Eint)), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', stp_inj_mem_ty_2Einteger_2Eint)). 70.99/16.25 thf(conj_thm_2Einteger_2EINT__DIVIDES__NEG, axiom, ![X17237:tp__ty_2Einteger_2Eint, X17238:tp__ty_2Einteger_2Eint]:((((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17237)) @ (inj__ty_2Einteger_2Eint @ X17238)))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17237))) @ (inj__ty_2Einteger_2Eint @ X17238))))&((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17237)) @ (inj__ty_2Einteger_2Eint @ X17238)))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17237)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17238))))))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', conj_thm_2Einteger_2EINT__DIVIDES__NEG)). 70.99/16.25 thf(conj_thm_2Einteger_2EINT__DIVIDES__REFL, axiom, ![X17156:tp__ty_2Einteger_2Eint]:((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17156)) @ (inj__ty_2Einteger_2Eint @ X17156)))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', conj_thm_2Einteger_2EINT__DIVIDES__REFL)). 70.99/16.25 thf(stp_inj_surj_ty_2Einteger_2Eint, axiom, ![X17508:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X17508))=(X17508))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', stp_inj_surj_ty_2Einteger_2Eint)). 70.99/16.25 thf(conj_thm_2Einteger_2EINT__NEG__SUB, axiom, ![X17371:tp__ty_2Einteger_2Eint, X17372:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17371)) @ (inj__ty_2Einteger_2Eint @ X17372))))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17372)) @ (inj__ty_2Einteger_2Eint @ X17371))))), file('/export/starexec/sandbox2/tmp/tmp.mLeUAWT0p1/E---3.1_2570290.p', conj_thm_2Einteger_2EINT__NEG__SUB)). 70.99/16.25 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.mLeUAWT0p1/E---3.1_2570290.p', mem_c_2Einteger_2Eint__sub)). 70.99/16.25 thf(c_0_14, plain, ![X4:$i]:(((mem @ X4 @ ty_2Einteger_2Eint)=>((X4)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))))), inference(fof_simplification,[status(thm)],[stp_iso_mem_ty_2Einteger_2Eint])). 70.99/16.25 thf(c_0_15, negated_conjecture, ~(![X17366:tp__ty_2Einteger_2Eint, X17367:tp__ty_2Einteger_2Eint, X17368:tp__ty_2Einteger_2Eint]:((((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17366)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17368)) @ (inj__ty_2Einteger_2Eint @ X17367))))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17366)) @ (inj__ty_2Einteger_2Eint @ X17368))))<=(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17366)) @ (inj__ty_2Einteger_2Eint @ X17367)))))), inference(assume_negation,[status(cth)],[conj_thm_2Einteger_2EINT__DIVIDES__RSUB])). 70.99/16.26 thf(c_0_16, plain, ![X19751:$i]:((~(mem @ X19751 @ ty_2Einteger_2Eint)|((X19751)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X19751))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])). 70.99/16.26 thf(c_0_17, plain, ![X19013:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X19013))))=(X19013))), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2EINT__NEGNEG])). 70.99/16.26 thf(c_0_18, plain, ![X19093:del, X19094:del, X19095:$i, X19096:$i]:((~(mem @ X19095 @ (arr @ X19093 @ X19094))|(~(mem @ X19096 @ X19093)|(mem @ (ap @ X19095 @ X19096) @ X19094)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])). 70.99/16.26 thf(c_0_19, negated_conjecture, ~(![X17366:tp__ty_2Einteger_2Eint, X17367:tp__ty_2Einteger_2Eint, X17368:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17366)) @ (inj__ty_2Einteger_2Eint @ X17367)))=>((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17366)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17368)) @ (inj__ty_2Einteger_2Eint @ X17367))))<=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17366)) @ (inj__ty_2Einteger_2Eint @ X17368))))))), inference(fof_simplification,[status(thm)],[c_0_15])). 70.99/16.26 thf(c_0_20, plain, ![X4:$i]:((((X4)=(inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(split_conjunct,[status(thm)],[c_0_16])). 70.99/16.26 thf(c_0_21, plain, ![X17015:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015))))=(X17015))), inference(split_conjunct,[status(thm)],[c_0_17])). 70.99/16.26 thf(c_0_22, plain, ![X4:$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_18])). 70.99/16.26 thf(c_0_23, plain, (mem @ c_2Einteger_2Eint__neg @ (arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint)), inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__neg])). 70.99/16.26 thf(c_0_24, plain, ![X18995:tp__ty_2Einteger_2Eint, X18996:tp__ty_2Einteger_2Eint]:(((((X18995)!=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X18996))))|((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X18995)))=(X18996)))&(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X18995)))!=(X18996))|((X18995)=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X18996))))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__EQ])])])). 70.99/16.26 thf(c_0_25, plain, ![X17153:tp__ty_2Einteger_2Eint, X17154:tp__ty_2Einteger_2Eint, X17155:tp__ty_2Einteger_2Eint]:((((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17154)) @ (inj__ty_2Einteger_2Eint @ X17155)))&(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17153)) @ (inj__ty_2Einteger_2Eint @ X17154))))=>(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17153)) @ (inj__ty_2Einteger_2Eint @ X17155))))), inference(fof_simplification,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__TRANS])). 70.99/16.26 thf(c_0_26, 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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])). 70.99/16.26 thf(c_0_27, plain, ![X18859:tp__ty_2Einteger_2Eint, X18860:tp__ty_2Einteger_2Eint, X18861:tp__ty_2Einteger_2Eint]:(((~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18859)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X18860)) @ (inj__ty_2Einteger_2Eint @ X18861))))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18859)) @ (inj__ty_2Einteger_2Eint @ X18861)))|~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18859)) @ (inj__ty_2Einteger_2Eint @ X18860))))&(~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18859)) @ (inj__ty_2Einteger_2Eint @ X18861)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18859)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X18860)) @ (inj__ty_2Einteger_2Eint @ X18861))))|~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18859)) @ (inj__ty_2Einteger_2Eint @ X18860)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__LSUB])])])])). 70.99/16.26 thf(c_0_28, plain, ![X17015:tp__ty_2Einteger_2Eint]:((((ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015)))=(inj__ty_2Einteger_2Eint @ X17015))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015))) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 70.99/16.26 thf(c_0_29, plain, ![X4:$i]:(((mem @ (ap @ c_2Einteger_2Eint__neg @ X4) @ ty_2Einteger_2Eint)|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 70.99/16.26 thf(c_0_30, plain, ![X19750:tp__ty_2Einteger_2Eint]:((mem @ (inj__ty_2Einteger_2Eint @ X19750) @ ty_2Einteger_2Eint)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Einteger_2Eint])). 70.99/16.26 thf(c_0_31, plain, ![X17015:tp__ty_2Einteger_2Eint, X17016:tp__ty_2Einteger_2Eint]:((((X17015)=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17016))))|((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015)))!=(X17016)))), inference(split_conjunct,[status(thm)],[c_0_24])). 70.99/16.26 thf(c_0_32, plain, ![X18842:tp__ty_2Einteger_2Eint, X18843:tp__ty_2Einteger_2Eint, X18844:tp__ty_2Einteger_2Eint]:((~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18843)) @ (inj__ty_2Einteger_2Eint @ X18844)))|~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18842)) @ (inj__ty_2Einteger_2Eint @ X18843)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18842)) @ (inj__ty_2Einteger_2Eint @ X18844))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])). 70.99/16.26 thf(c_0_33, 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_26])). 70.99/16.26 thf(c_0_34, plain, ![X17015:tp__ty_2Einteger_2Eint, X17016:tp__ty_2Einteger_2Eint, X17017:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17017)) @ (inj__ty_2Einteger_2Eint @ X17016))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17016))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17017)))))), inference(split_conjunct,[status(thm)],[c_0_27])). 70.99/16.26 thf(c_0_35, 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_26])). 70.99/16.26 thf(c_0_36, plain, ![X18846:tp__ty_2Einteger_2Eint, X18847:tp__ty_2Einteger_2Eint]:((((~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18846)) @ (inj__ty_2Einteger_2Eint @ X18847)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X18846))) @ (inj__ty_2Einteger_2Eint @ X18847))))&(~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X18846))) @ (inj__ty_2Einteger_2Eint @ X18847)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18846)) @ (inj__ty_2Einteger_2Eint @ X18847)))))&((~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18846)) @ (inj__ty_2Einteger_2Eint @ X18847)))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18846)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X18847)))))&(~(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18846)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X18847))))|(p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18846)) @ (inj__ty_2Einteger_2Eint @ X18847))))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__NEG])])])). 70.99/16.26 thf(c_0_37, plain, ![X18845:tp__ty_2Einteger_2Eint]:((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X18845)) @ (inj__ty_2Einteger_2Eint @ X18845)))), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__REFL])). 70.99/16.26 thf(c_0_38, plain, ![X17015:tp__ty_2Einteger_2Eint]:((((ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015)))=(inj__ty_2Einteger_2Eint @ X17015))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015)) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 70.99/16.26 thf(c_0_39, plain, ![X17015:tp__ty_2Einteger_2Eint]:((mem @ (inj__ty_2Einteger_2Eint @ X17015) @ ty_2Einteger_2Eint)), inference(split_conjunct,[status(thm)],[c_0_30])). 70.99/16.26 thf(c_0_40, plain, ![X17015: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 @ X17015))))))=(X17015))), inference(er,[status(thm)],[c_0_31])). 70.99/16.26 thf(c_0_41, plain, ![X17017:tp__ty_2Einteger_2Eint, X17016:tp__ty_2Einteger_2Eint, X17015:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17017)) @ (inj__ty_2Einteger_2Eint @ X17016)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17016))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17017)) @ (inj__ty_2Einteger_2Eint @ X17015)))))), inference(split_conjunct,[status(thm)],[c_0_32])). 70.99/16.26 thf(c_0_42, 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_26])). 70.99/16.26 thf(c_0_43, 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_33, c_0_34]), c_0_35])])). 70.99/16.26 thf(c_0_44, plain, ![X17015:tp__ty_2Einteger_2Eint, X17016:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17016)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015))) @ (inj__ty_2Einteger_2Eint @ X17016)))))), inference(split_conjunct,[status(thm)],[c_0_36])). 70.99/16.26 thf(c_0_45, plain, ![X17015:tp__ty_2Einteger_2Eint]:((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17015)))), inference(split_conjunct,[status(thm)],[c_0_37])). 70.99/16.26 thf(c_0_46, plain, ![X17015:tp__ty_2Einteger_2Eint]:(((ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015)))=(inj__ty_2Einteger_2Eint @ X17015))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_29]), c_0_39])])). 70.99/16.26 thf(c_0_47, plain, ![X17015: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 @ X17015)))))=(inj__ty_2Einteger_2Eint @ X17015))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015))))) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_20, c_0_40])). 70.99/16.26 thf(c_0_48, plain, ![X18992:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X18992))=(X18992))), inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Einteger_2Eint])). 70.99/16.26 thf(c_0_49, plain, ![X17016:tp__ty_2Einteger_2Eint, X17015:tp__ty_2Einteger_2Eint, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17016)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ X4)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (inj__ty_2Einteger_2Eint @ X17016))))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_41, c_0_20])). 70.99/16.26 thf(c_0_50, negated_conjecture, (p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)))), inference(sr,[status(thm)],[c_0_42, c_0_43])). 70.99/16.26 thf(c_0_51, plain, ![X17015:tp__ty_2Einteger_2Eint, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ X4))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015))) @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_44, c_0_20])). 70.99/16.26 thf(c_0_52, plain, ![X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_45, c_0_20])). 70.99/16.26 thf(c_0_53, plain, ![X17015:tp__ty_2Einteger_2Eint, X17016:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17016)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17016))))))), inference(split_conjunct,[status(thm)],[c_0_36])). 70.99/16.26 thf(c_0_54, plain, ![X4:$i]:((((ap @ c_2Einteger_2Eint__neg @ (ap @ c_2Einteger_2Eint__neg @ X4))=(X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_46, c_0_20])). 70.99/16.26 thf(c_0_55, plain, ![X17015: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 @ X17015)))))=(inj__ty_2Einteger_2Eint @ X17015))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_29]), c_0_39])])). 70.99/16.26 thf(c_0_56, plain, ![X4:$i]:((((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ X4)))))=(surj__ty_2Einteger_2Eint @ X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_40, c_0_20])). 70.99/16.26 thf(c_0_57, plain, ![X17015:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (inj__ty_2Einteger_2Eint @ X17015))=(X17015))), inference(split_conjunct,[status(thm)],[c_0_48])). 70.99/16.26 thf(c_0_58, negated_conjecture, ![X17015:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ X17015)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0))) @ (inj__ty_2Einteger_2Eint @ X17015))))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 70.99/16.26 thf(c_0_59, plain, ![X17015:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015))))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015)) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 70.99/16.26 thf(c_0_60, plain, ![X17015:tp__ty_2Einteger_2Eint, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (inj__ty_2Einteger_2Eint @ X17015)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015)))))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_53, c_0_20])). 70.99/16.26 thf(c_0_61, plain, ![X17015:tp__ty_2Einteger_2Eint]:(((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015))))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_39])])). 70.99/16.26 thf(c_0_62, plain, ![X4:$i]:((((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))))=(surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_56]), c_0_57]), c_0_39])])). 70.99/16.26 thf(c_0_63, negated_conjecture, ![X4:$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_58, c_0_20])). 70.99/16.26 thf(c_0_64, plain, ![X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ (ap @ c_2Einteger_2Eint__neg @ X4)))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_20]), c_0_29])). 70.99/16.26 thf(c_0_65, plain, ![X17015:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015))) @ (inj__ty_2Einteger_2Eint @ X17015)))|~((mem @ (ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ X17015)) @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_60, c_0_52])). 70.99/16.26 thf(c_0_66, plain, ![X4:$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_61, c_0_20])). 70.99/16.26 thf(c_0_67, plain, ![X4:$i]:((((inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ X4)))=(ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4))))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_61, c_0_62])). 70.99/16.26 thf(c_0_68, negated_conjecture, ((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)))))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_29])). 70.99/16.26 thf(c_0_69, plain, ![X4:$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_65, c_0_20]), c_0_29])). 70.99/16.26 thf(c_0_70, plain, ![X4:$i]:((((ap @ c_2Einteger_2Eint__neg @ (inj__ty_2Einteger_2Eint @ (surj__ty_2Einteger_2Eint @ X4)))=(ap @ c_2Einteger_2Eint__neg @ X4))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_66, c_0_67])). 70.99/16.26 thf(c_0_71, negated_conjecture, ![X17015:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ (inj__ty_2Einteger_2Eint @ X17015)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)))) @ (inj__ty_2Einteger_2Eint @ X17015))))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_68]), c_0_29])). 70.99/16.26 thf(c_0_72, plain, ![X5:$i, X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ X4) @ X5))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ X4)) @ X5)))|~((mem @ X5 @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_51, c_0_20])). 70.99/16.26 thf(c_0_73, plain, ![X4:$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_69, c_0_70]), c_0_39])])). 70.99/16.26 thf(c_0_74, plain, ![X18913:tp__ty_2Einteger_2Eint, X18914:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X18913)) @ (inj__ty_2Einteger_2Eint @ X18914))))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X18914)) @ (inj__ty_2Einteger_2Eint @ X18913))))), inference(variable_rename,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__SUB])). 70.99/16.26 thf(c_0_75, negated_conjecture, ![X4:$i]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ esk1_0)) @ X4))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)))) @ X4)))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_71, c_0_20])). 70.99/16.26 thf(c_0_76, plain, ![X4:$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_72, c_0_73]), c_0_39])])). 70.99/16.26 thf(c_0_77, plain, ![X17016:tp__ty_2Einteger_2Eint, X17015:tp__ty_2Einteger_2Eint]:(((surj__ty_2Einteger_2Eint @ (ap @ c_2Einteger_2Eint__neg @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17016))))=(surj__ty_2Einteger_2Eint @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17016)) @ (inj__ty_2Einteger_2Eint @ X17015))))), inference(split_conjunct,[status(thm)],[c_0_74])). 70.99/16.26 thf(c_0_78, 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 @ esk2_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0))))))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_77]), c_0_77]), c_0_39])]), c_0_29])). 70.99/16.26 thf(c_0_79, 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])). 70.99/16.26 thf(c_0_80, plain, ![X17015:tp__ty_2Einteger_2Eint, X17017:tp__ty_2Einteger_2Eint, X17016:tp__ty_2Einteger_2Eint]:(((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17017)))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ X17016)) @ (inj__ty_2Einteger_2Eint @ X17017)))))|~((p @ (ap @ (ap @ c_2Einteger_2Eint__divides @ (inj__ty_2Einteger_2Eint @ X17015)) @ (inj__ty_2Einteger_2Eint @ X17016)))))), inference(split_conjunct,[status(thm)],[c_0_27])). 70.99/16.26 thf(c_0_81, 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))))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ ty_2Einteger_2Eint))), inference(spm,[status(thm)],[c_0_78, c_0_20])). 70.99/16.26 thf(c_0_82, plain, ![X4:$i]:(((mem @ (ap @ c_2Einteger_2Eint__sub @ X4) @ (arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_22, c_0_79])). 70.99/16.26 thf(c_0_83, negated_conjecture, (~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ ty_2Einteger_2Eint))|~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ ty_2Einteger_2Eint))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_35])]), c_0_43])). 70.99/16.26 thf(c_0_84, plain, ![X5:$i, X4:$i]:(((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ X4) @ X5) @ ty_2Einteger_2Eint)|~((mem @ X5 @ ty_2Einteger_2Eint))|~((mem @ X4 @ ty_2Einteger_2Eint)))), inference(spm,[status(thm)],[c_0_22, c_0_82])). 70.99/16.26 thf(c_0_85, negated_conjecture, ~((mem @ (ap @ (ap @ c_2Einteger_2Eint__sub @ (inj__ty_2Einteger_2Eint @ esk2_0)) @ (inj__ty_2Einteger_2Eint @ esk3_0)) @ ty_2Einteger_2Eint)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_39]), c_0_39])])). 70.99/16.26 thf(c_0_86, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_84]), c_0_39]), c_0_39])]), ['proof']). 70.99/16.26 % SZS output end CNFRefutation 70.99/16.26 % Parsed axioms : 9711 70.99/16.26 % Removed by relevancy pruning/SinE : 9252 70.99/16.26 % Initial clauses : 1973 70.99/16.26 % Removed in clause preprocessing : 1001 70.99/16.26 % Initial clauses in saturation : 972 70.99/16.26 % Processed clauses : 10564 70.99/16.26 % ...of these trivial : 117 70.99/16.26 % ...subsumed : 6555 70.99/16.26 % ...remaining for further processing : 3892 70.99/16.26 % Other redundant clauses eliminated : 302 70.99/16.26 % Clauses deleted for lack of memory : 0 70.99/16.26 % Backward-subsumed : 314 70.99/16.26 % Backward-rewritten : 92 70.99/16.26 % Generated clauses : 164131 70.99/16.26 % ...of the previous two non-redundant : 159379 70.99/16.26 % ...aggressively subsumed : 0 70.99/16.26 % Contextual simplify-reflections : 52 70.99/16.26 % Paramodulations : 163815 70.99/16.26 % Factorizations : 6 70.99/16.26 % NegExts : 0 70.99/16.26 % Equation resolutions : 313 70.99/16.26 % Disequality decompositions : 0 70.99/16.26 % Total rewrite steps : 27051 70.99/16.26 % ...of those cached : 26327 70.99/16.26 % Propositional unsat checks : 1 70.99/16.26 % Propositional check models : 1 70.99/16.26 % Propositional check unsatisfiable : 0 70.99/16.26 % Propositional clauses : 0 70.99/16.26 % Propositional clauses after purity: 0 70.99/16.26 % Propositional unsat core size : 0 70.99/16.26 % Propositional preprocessing time : 0.000 70.99/16.26 % Propositional encoding time : 0.085 70.99/16.26 % Propositional solver time : 0.012 70.99/16.26 % Success case prop preproc time : 0.000 70.99/16.26 % Success case prop encoding time : 0.000 70.99/16.26 % Success case prop solver time : 0.000 70.99/16.26 % Current number of processed clauses : 2536 70.99/16.26 % Positive orientable unit clauses : 180 70.99/16.26 % Positive unorientable unit clauses: 7 70.99/16.26 % Negative unit clauses : 22 70.99/16.26 % Non-unit-clauses : 2327 70.99/16.26 % Current number of unprocessed clauses: 147397 70.99/16.26 % ...number of literals in the above : 854986 70.99/16.26 % Current number of archived formulas : 0 70.99/16.26 % Current number of archived clauses : 1291 70.99/16.26 % Clause-clause subsumption calls (NU) : 787037 70.99/16.26 % Rec. Clause-clause subsumption calls : 247158 70.99/16.26 % Non-unit clause-clause subsumptions : 6234 70.99/16.26 % Unit Clause-clause subsumption calls : 4479 70.99/16.26 % Rewrite failures with RHS unbound : 0 70.99/16.26 % BW rewrite match attempts : 9703 70.99/16.26 % BW rewrite match successes : 67 70.99/16.26 % Condensation attempts : 0 70.99/16.26 % Condensation successes : 0 70.99/16.26 % Termbank termtop insertions : 21899848 70.99/16.26 % Search garbage collected termcells : 271352 70.99/16.26 70.99/16.26 % ------------------------------------------------- 70.99/16.26 % User time : 9.051 s 70.99/16.26 % System time : 0.314 s 70.99/16.26 % Total time : 9.365 s 70.99/16.26 % Maximum resident set size: 52216 pages 70.99/16.26 70.99/16.26 % ------------------------------------------------- 70.99/16.26 % User time : 19.871 s 70.99/16.26 % System time : 0.552 s 70.99/16.26 % Total time : 20.423 s 70.99/16.26 % Maximum resident set size: 48128 pages 70.99/16.26 % E exiting 70.99/16.26 EOF