0.09/0.26 % Problem : Vampire---4.8_27147 : TPTP v0.0.0. Released v0.0.0. 0.09/0.27 % Command : run_E %s %d THM 0.25/0.47 % Computer : n002.cluster.edu 0.25/0.47 % Model : x86_64 x86_64 0.25/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.25/0.47 % Memory : 8042.1875MB 0.25/0.47 % OS : Linux 3.10.0-693.el7.x86_64 0.25/0.47 % CPULimit : 1440 0.25/0.47 % WCLimit : 180 0.25/0.47 % DateTime : Mon Jul 3 13:05:52 EDT 2023 0.25/0.47 % CPUTime : 0.54/0.72 Running higher-order theorem provingRunning: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147 0.54/0.72 # Version: 3.1pre001-ho 24.37/3.86 # Preprocessing class: HMLMSMSMSSLNHSA. 24.37/3.86 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 24.37/3.86 # Starting sh2lt with 900s (5) cores 24.37/3.86 # Starting new_ho_6 with 180s (1) cores 24.37/3.86 # Starting almost_fo_2 with 180s (1) cores 24.37/3.86 # Starting sh5l with 180s (1) cores 24.37/3.86 # sh2lt with pid 27325 completed with status 0 24.37/3.86 # Result found by sh2lt 24.37/3.86 # Preprocessing class: HMLMSMSMSSLNHSA. 24.37/3.86 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 24.37/3.86 # Starting sh2lt with 900s (5) cores 24.37/3.86 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 24.37/3.86 # Search class: HGHSM-FSLM32-DHSFFSBN 24.37/3.86 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 24.37/3.86 # Starting full_lambda_3 with 415s (1) cores 24.37/3.86 # Starting sh2lt with 91s (1) cores 24.37/3.86 # Starting pre_casc_4 with 123s (1) cores 24.37/3.86 # Starting lpo5_fix with 82s (1) cores 24.37/3.86 # Starting new_bool_12 with 82s (1) cores 24.37/3.86 # lpo5_fix with pid 27334 completed with status 0 24.37/3.86 # Result found by lpo5_fix 24.37/3.86 # Preprocessing class: HMLMSMSMSSLNHSA. 24.37/3.86 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 24.37/3.86 # Starting sh2lt with 900s (5) cores 24.37/3.86 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 24.37/3.86 # Search class: HGHSM-FSLM32-DHSFFSBN 24.37/3.86 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 24.37/3.86 # Starting full_lambda_3 with 415s (1) cores 24.37/3.86 # Starting sh2lt with 91s (1) cores 24.37/3.86 # Starting pre_casc_4 with 123s (1) cores 24.37/3.86 # Starting lpo5_fix with 82s (1) cores 24.37/3.86 # Preprocessing time : 0.008 s 24.37/3.86 24.37/3.86 # Proof found! 24.37/3.86 # SZS status Theorem 24.37/3.86 # SZS output start CNFRefutation 24.37/3.86 thf(decl_25, type, arrow_823908191le_Lin: (produc1501160679le_alt > $o) > $o). 24.37/3.86 thf(decl_26, type, arrow_734252939e_Prof: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o). 24.37/3.86 thf(decl_28, type, arrow_2098199487_below: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o). 24.37/3.86 thf(decl_60, type, pi_Arr1929480907_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o). 24.37/3.86 thf(decl_76, type, append179082452le_alt: list_A2115238852le_alt > list_A2115238852le_alt > list_A2115238852le_alt). 24.37/3.86 thf(decl_85, type, butlas274947851le_alt: list_A2115238852le_alt > list_A2115238852le_alt). 24.37/3.86 thf(decl_93, type, distin236324274le_alt: list_A2115238852le_alt > $o). 24.37/3.86 thf(decl_118, type, hd_Arr1965683346le_alt: list_A2115238852le_alt > arrow_475358991le_alt). 24.37/3.86 thf(decl_134, type, last_A1217315288le_alt: list_A2115238852le_alt > arrow_475358991le_alt). 24.37/3.86 thf(decl_154, type, cons_A228743023le_alt: arrow_475358991le_alt > list_A2115238852le_alt > list_A2115238852le_alt). 24.37/3.86 thf(decl_163, type, nil_Ar1286194111le_alt: list_A2115238852le_alt). 24.37/3.86 thf(decl_182, type, rev_Ar1106406943le_alt: list_A2115238852le_alt > list_A2115238852le_alt). 24.37/3.86 thf(decl_186, type, rotate335349260le_alt: list_A2115238852le_alt > list_A2115238852le_alt). 24.37/3.86 thf(decl_191, type, set_Ar577454304le_alt: list_A2115238852le_alt > arrow_475358991le_alt > $o). 24.37/3.86 thf(decl_201, type, takeWh1696291512le_alt: (arrow_475358991le_alt > $o) > list_A2115238852le_alt > list_A2115238852le_alt). 24.37/3.86 thf(decl_209, type, tl_Arr465451158le_alt: list_A2115238852le_alt > list_A2115238852le_alt). 24.37/3.86 thf(decl_225, type, top_to988227749indi_o: arrow_1429601828e_indi > $o). 24.37/3.86 thf(decl_233, type, produc1347929815le_alt: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt). 24.37/3.86 thf(decl_255, type, collec22405327e_indi: (arrow_1429601828e_indi > $o) > arrow_1429601828e_indi > $o). 24.37/3.86 thf(decl_281, type, member526088951_alt_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o). 24.37/3.86 thf(decl_283, type, member377231867_alt_o: (produc1501160679le_alt > $o) > ((produc1501160679le_alt > $o) > $o) > $o). 24.37/3.86 thf(decl_292, type, member84363362le_alt: arrow_475358991le_alt > (arrow_475358991le_alt > $o) > $o). 24.37/3.86 thf(decl_293, type, member2052026769e_indi: arrow_1429601828e_indi > (arrow_1429601828e_indi > $o) > $o). 24.37/3.86 thf(decl_299, type, member214075476le_alt: produc1501160679le_alt > (produc1501160679le_alt > $o) > $o). 24.37/3.86 thf(decl_314, type, p: arrow_1429601828e_indi > produc1501160679le_alt > $o). 24.37/3.86 thf(decl_315, type, a: arrow_475358991le_alt). 24.37/3.86 thf(decl_316, type, b: arrow_475358991le_alt). 24.37/3.86 thf(decl_317, type, c: arrow_475358991le_alt). 24.37/3.86 thf(decl_318, type, esk1_0: arrow_1429601828e_indi). 24.37/3.86 thf(decl_360, type, esk41_1: list_A2115238852le_alt > arrow_475358991le_alt). 24.37/3.86 thf(decl_361, type, esk42_1: list_A2115238852le_alt > list_A2115238852le_alt). 24.37/3.86 thf(decl_421, type, epred19_0: arrow_1429601828e_indi > produc1501160679le_alt > $o). 24.37/3.86 thf(decl_423, type, epred21_0: arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o). 24.37/3.86 thf(decl_426, type, epred24_1: arrow_475358991le_alt > arrow_475358991le_alt > $o). 24.37/3.86 thf(decl_428, type, epred26_0: arrow_1429601828e_indi > $o). 24.37/3.86 thf(decl_430, type, esk86_0: arrow_475358991le_alt > list_A2115238852le_alt > list_A2115238852le_alt). 24.37/3.86 thf(fact_12_in__below, axiom, ![X1099:arrow_475358991le_alt, X1100:arrow_475358991le_alt, X477:produc1501160679le_alt > $o, X597:arrow_475358991le_alt, X598:arrow_475358991le_alt]:((((X597)!=(X598))=>(((member214075476le_alt @ (produc1347929815le_alt @ X1099 @ X1100) @ (arrow_2098199487_below @ X477 @ X597 @ X598))<=>((((X1099)!=(X1100))&((member214075476le_alt @ (produc1347929815le_alt @ X1099 @ X598) @ X477)<=((X1100)=(X597))))&(((X1100)!=(X597))=>((((X1099)!=(X597))=>(member214075476le_alt @ (produc1347929815le_alt @ X1099 @ X1100) @ X477))&(((X1099)=(X597))=>((member214075476le_alt @ (produc1347929815le_alt @ X598 @ X1100) @ X477)|((X1100)=(X598))))))))<=(member377231867_alt_o @ X477 @ arrow_823908191le_Lin)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_12_in__below)). 24.37/3.86 thf(conj_0, conjecture, ![X373:arrow_1429601828e_indi]:(((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ X373))<=>(member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ X373) @ c @ b)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', conj_0)). 24.37/3.86 thf(fact_41_list_Oinject, axiom, ![X1164:arrow_475358991le_alt, X1165:list_A2115238852le_alt, X1166:arrow_475358991le_alt, X1167:list_A2115238852le_alt]:((((cons_A228743023le_alt @ X1164 @ X1165)=(cons_A228743023le_alt @ X1166 @ X1167))<=>(((X1164)=(X1166))&((X1165)=(X1167))))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_41_list_Oinject)). 24.37/3.86 thf(fact_80_neq__Nil__conv, axiom, ![X839:list_A2115238852le_alt]:((?[X840:arrow_475358991le_alt, X213:list_A2115238852le_alt]:(((X839)=(cons_A228743023le_alt @ X840 @ X213)))<=>((X839)!=(nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_80_neq__Nil__conv)). 24.37/3.86 thf(fact_37_list_Osimps_I2_J, axiom, ![X1760:arrow_475358991le_alt, X1761:list_A2115238852le_alt]:(((nil_Ar1286194111le_alt)!=(cons_A228743023le_alt @ X1760 @ X1761))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_37_list_Osimps_I2_J)). 24.37/3.86 thf(fact_496_rev__eq__Cons__iff, axiom, ![X649:list_A2115238852le_alt, X650:arrow_475358991le_alt, X651:list_A2115238852le_alt]:((((X649)=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X651) @ (cons_A228743023le_alt @ X650 @ nil_Ar1286194111le_alt)))<=>((rev_Ar1106406943le_alt @ X649)=(cons_A228743023le_alt @ X650 @ X651)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_496_rev__eq__Cons__iff)). 24.37/3.86 thf(fact_495_rev_Osimps_I2_J, axiom, ![X769:arrow_475358991le_alt, X770:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X769 @ X770))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X770) @ (cons_A228743023le_alt @ X769 @ nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_495_rev_Osimps_I2_J)). 24.37/3.86 thf(fact_492_rev__singleton__conv, axiom, ![X1738:list_A2115238852le_alt, X1739:arrow_475358991le_alt]:((((rev_Ar1106406943le_alt @ X1738)=(cons_A228743023le_alt @ X1739 @ nil_Ar1286194111le_alt))<=>((X1738)=(cons_A228743023le_alt @ X1739 @ nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_492_rev__singleton__conv)). 24.37/3.86 thf(fact_373_append__Cons, axiom, ![X162:arrow_475358991le_alt, X163:list_A2115238852le_alt, X164:list_A2115238852le_alt]:(((append179082452le_alt @ (cons_A228743023le_alt @ X162 @ X163) @ X164)=(cons_A228743023le_alt @ X162 @ (append179082452le_alt @ X163 @ X164)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_373_append__Cons)). 24.37/3.86 thf(fact_268_mem__def, axiom, ![X934:produc1501160679le_alt, X935:produc1501160679le_alt > $o]:(((member214075476le_alt @ X934 @ X935)<=>(X935 @ X934))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_268_mem__def)). 24.37/3.86 thf(fact_151_Pi__mem, axiom, ![X969:arrow_1429601828e_indi, X970:arrow_1429601828e_indi > produc1501160679le_alt > $o, X971:arrow_1429601828e_indi > $o, X972:arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o]:(((member526088951_alt_o @ X970 @ (pi_Arr1929480907_alt_o @ X971 @ X972))=>((member377231867_alt_o @ (X970 @ X969) @ (X972 @ X969))<=(member2052026769e_indi @ X969 @ X971)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_151_Pi__mem)). 24.37/3.86 thf(fact_344_UNIV__def, axiom, ((top_to988227749indi_o)=(collec22405327e_indi @ (^[X9:arrow_1429601828e_indi]:(($true))))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_344_UNIV__def)). 24.37/3.86 thf(fact_273_Collect__def, axiom, ![X1007:arrow_1429601828e_indi > $o]:(((collec22405327e_indi @ X1007)=(X1007))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_273_Collect__def)). 24.37/3.86 thf(fact_489_rev_Osimps_I1_J, axiom, ((rev_Ar1106406943le_alt @ nil_Ar1286194111le_alt)=(nil_Ar1286194111le_alt)), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_489_rev_Osimps_I1_J)). 24.37/3.86 thf(fact_452_tl_Osimps_I2_J, axiom, ![X1395:arrow_475358991le_alt, X1396:list_A2115238852le_alt]:(((tl_Arr465451158le_alt @ (cons_A228743023le_alt @ X1395 @ X1396))=(X1396))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_452_tl_Osimps_I2_J)). 24.37/3.86 thf(fact_289_Prof__def, axiom, ((arrow_734252939e_Prof)=(pi_Arr1929480907_alt_o @ top_to988227749indi_o @ (^[X8:arrow_1429601828e_indi]:(arrow_823908191le_Lin)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_289_Prof__def)). 24.37/3.86 thf(fact_265_mem__def, axiom, ![X1792:arrow_1429601828e_indi, X1793:arrow_1429601828e_indi > $o]:(((member2052026769e_indi @ X1792 @ X1793)<=>(X1793 @ X1792))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_265_mem__def)). 24.37/3.86 thf(fact_556_distinct_Osimps_I2_J, axiom, ![X1944:arrow_475358991le_alt, X1945:list_A2115238852le_alt]:(((distin236324274le_alt @ (cons_A228743023le_alt @ X1944 @ X1945))<=>((distin236324274le_alt @ X1945)&~((member84363362le_alt @ X1944 @ (set_Ar577454304le_alt @ X1945)))))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_556_distinct_Osimps_I2_J)). 24.37/3.86 thf(fact_532_in__set__butlastD, axiom, ![X775:arrow_475358991le_alt, X776:list_A2115238852le_alt]:(((member84363362le_alt @ X775 @ (set_Ar577454304le_alt @ X776))<=(member84363362le_alt @ X775 @ (set_Ar577454304le_alt @ (butlas274947851le_alt @ X776))))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_532_in__set__butlastD)). 24.37/3.86 thf(fact_572_last__in__set, axiom, ![X1455:list_A2115238852le_alt]:(((member84363362le_alt @ (last_A1217315288le_alt @ X1455) @ (set_Ar577454304le_alt @ X1455))<=((X1455)!=(nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_572_last__in__set)). 24.37/3.86 thf(fact_378_self__append__conv, axiom, ![X1699:list_A2115238852le_alt, X1700:list_A2115238852le_alt]:((((X1699)=(append179082452le_alt @ X1699 @ X1700))<=>((X1700)=(nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_378_self__append__conv)). 24.37/3.86 thf(fact_43_not__Cons__self, axiom, ![X771:list_A2115238852le_alt, X772:arrow_475358991le_alt]:(((X771)!=(cons_A228743023le_alt @ X772 @ X771))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_43_not__Cons__self)). 24.37/3.86 thf(fact_478_last__rev, axiom, ![X1475:list_A2115238852le_alt]:((((last_A1217315288le_alt @ (rev_Ar1106406943le_alt @ X1475))=(hd_Arr1965683346le_alt @ X1475))<=((X1475)!=(nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_478_last__rev)). 24.37/3.86 thf(fact_0__096P_A_058_AProf_096, axiom, (member526088951_alt_o @ p @ arrow_734252939e_Prof), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_0__096P_A_058_AProf_096)). 24.37/3.86 thf(fact_523_set__takeWhileD, axiom, ![X955:arrow_475358991le_alt, X956:arrow_475358991le_alt > $o, X957:list_A2115238852le_alt]:((((X956 @ X955)&(member84363362le_alt @ X955 @ (set_Ar577454304le_alt @ X957)))<=(member84363362le_alt @ X955 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X956 @ X957))))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_523_set__takeWhileD)). 24.37/3.86 thf(fact_336_takeWhile__not__last, axiom, ![X1016:list_A2115238852le_alt]:(((((takeWh1696291512le_alt @ (^[X1017:arrow_475358991le_alt]:(~(((X1017)=(last_A1217315288le_alt @ X1016))))) @ X1016)=(butlas274947851le_alt @ X1016))<=(distin236324274le_alt @ X1016))<=((X1016)!=(nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_336_takeWhile__not__last)). 24.37/3.86 thf(fact_464_rotate1__hd__tl, axiom, ![X731:list_A2115238852le_alt]:((((X731)!=(nil_Ar1286194111le_alt))=>((rotate335349260le_alt @ X731)=(append179082452le_alt @ (tl_Arr465451158le_alt @ X731) @ (cons_A228743023le_alt @ (hd_Arr1965683346le_alt @ X731) @ nil_Ar1286194111le_alt))))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_464_rotate1__hd__tl)). 24.37/3.86 thf(fact_486_rev__append, axiom, ![X1461:list_A2115238852le_alt, X1462:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (append179082452le_alt @ X1461 @ X1462))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X1462) @ (rev_Ar1106406943le_alt @ X1461)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_486_rev__append)). 24.37/3.86 thf(fact_394_last__snoc, axiom, ![X1175:list_A2115238852le_alt, X1176:arrow_475358991le_alt]:(((last_A1217315288le_alt @ (append179082452le_alt @ X1175 @ (cons_A228743023le_alt @ X1176 @ nil_Ar1286194111le_alt)))=(X1176))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_394_last__snoc)). 24.37/3.86 thf(fact_376_Nil__is__append__conv, axiom, ![X169:list_A2115238852le_alt, X170:list_A2115238852le_alt]:(((((X170)=(nil_Ar1286194111le_alt))&((X169)=(nil_Ar1286194111le_alt)))<=>((nil_Ar1286194111le_alt)=(append179082452le_alt @ X169 @ X170)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_376_Nil__is__append__conv)). 24.37/3.86 thf(fact_393_butlast__snoc, axiom, ![X175:list_A2115238852le_alt, X176:arrow_475358991le_alt]:(((butlas274947851le_alt @ (append179082452le_alt @ X175 @ (cons_A228743023le_alt @ X176 @ nil_Ar1286194111le_alt)))=(X175))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_393_butlast__snoc)). 24.37/3.86 thf(fact_406_distinct1__rotate, axiom, ![X764:list_A2115238852le_alt]:(((distin236324274le_alt @ (rotate335349260le_alt @ X764))<=>(distin236324274le_alt @ X764))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_406_distinct1__rotate)). 24.37/3.86 thf(fact_457_tl__append2, axiom, ![X1518:list_A2115238852le_alt, X1519:list_A2115238852le_alt]:((((X1519)!=(nil_Ar1286194111le_alt))=>((tl_Arr465451158le_alt @ (append179082452le_alt @ X1519 @ X1518))=(append179082452le_alt @ (tl_Arr465451158le_alt @ X1519) @ X1518)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_457_tl__append2)). 24.37/3.86 thf(fact_375_append__Nil, axiom, ![X1245:list_A2115238852le_alt]:(((append179082452le_alt @ nil_Ar1286194111le_alt @ X1245)=(X1245))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_375_append__Nil)). 24.37/3.86 thf(fact_4_dist, axiom, (distin236324274le_alt @ (cons_A228743023le_alt @ a @ (cons_A228743023le_alt @ b @ (cons_A228743023le_alt @ c @ nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_4_dist)). 24.37/3.86 thf(fact_479_hd__rev, axiom, ![X626:list_A2115238852le_alt]:((((X626)!=(nil_Ar1286194111le_alt))=>((hd_Arr1965683346le_alt @ (rev_Ar1106406943le_alt @ X626))=(last_A1217315288le_alt @ X626)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_479_hd__rev)). 24.37/3.86 thf(fact_491_distinct__rev, axiom, ![X1456:list_A2115238852le_alt]:(((distin236324274le_alt @ X1456)<=>(distin236324274le_alt @ (rev_Ar1106406943le_alt @ X1456)))), file('/export/starexec/sandbox/tmp/tmp.640VhfRTo7/Vampire---4.8_27147', fact_491_distinct__rev)). 24.37/3.86 thf(c_0_37, plain, ![X1099:arrow_475358991le_alt, X1100:arrow_475358991le_alt, X477:produc1501160679le_alt > $o, X597:arrow_475358991le_alt, X598:arrow_475358991le_alt]:((((X597)!=(X598))=>((member377231867_alt_o @ X477 @ arrow_823908191le_Lin)=>((member214075476le_alt @ (produc1347929815le_alt @ X1099 @ X1100) @ (arrow_2098199487_below @ X477 @ X597 @ X598))<=>((((X1099)!=(X1100))&(((X1100)=(X597))=>(member214075476le_alt @ (produc1347929815le_alt @ X1099 @ X598) @ X477)))&(((X1100)!=(X597))=>((((X1099)!=(X597))=>(member214075476le_alt @ (produc1347929815le_alt @ X1099 @ X1100) @ X477))&(((X1099)=(X597))=>((member214075476le_alt @ (produc1347929815le_alt @ X598 @ X1100) @ X477)|((X1100)=(X598))))))))))), inference(fof_simplification,[status(thm)],[fact_12_in__below])). 24.37/3.86 thf(c_0_38, negated_conjecture, ~(![X373:arrow_1429601828e_indi]:(((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ X373))<=>(member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ X373) @ c @ b))))), inference(assume_negation,[status(cth)],[conj_0])). 24.37/3.86 thf(c_0_39, plain, ![X2809:arrow_475358991le_alt, X2810:list_A2115238852le_alt, X2811:arrow_475358991le_alt, X2812:list_A2115238852le_alt]:((((((X2809)=(X2811))|((cons_A228743023le_alt @ X2809 @ X2810)!=(cons_A228743023le_alt @ X2811 @ X2812)))&(((X2810)=(X2812))|((cons_A228743023le_alt @ X2809 @ X2810)!=(cons_A228743023le_alt @ X2811 @ X2812))))&(((X2809)!=(X2811))|((X2810)!=(X2812))|((cons_A228743023le_alt @ X2809 @ X2810)=(cons_A228743023le_alt @ X2811 @ X2812))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_41_list_Oinject])])])). 24.37/3.86 thf(c_0_40, plain, ![X2800:list_A2115238852le_alt, X2801:arrow_475358991le_alt, X2802:list_A2115238852le_alt, X2803:list_A2115238852le_alt]:(((((X2800)!=(cons_A228743023le_alt @ X2801 @ X2802))|((X2800)!=(nil_Ar1286194111le_alt)))&(((X2803)=(nil_Ar1286194111le_alt))|((X2803)=(cons_A228743023le_alt @ (esk41_1 @ X2803) @ (esk42_1 @ X2803)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_80_neq__Nil__conv])])])])])). 24.37/3.86 thf(c_0_41, plain, ![X2830:arrow_475358991le_alt, X2831:list_A2115238852le_alt]:(((nil_Ar1286194111le_alt)!=(cons_A228743023le_alt @ X2830 @ X2831))), inference(variable_rename,[status(thm)],[fact_37_list_Osimps_I2_J])). 24.37/3.86 thf(c_0_42, plain, ![X2968:list_A2115238852le_alt, X2969:arrow_475358991le_alt, X2970:list_A2115238852le_alt]:(((((X2968)!=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X2970) @ (cons_A228743023le_alt @ X2969 @ nil_Ar1286194111le_alt)))|((rev_Ar1106406943le_alt @ X2968)=(cons_A228743023le_alt @ X2969 @ X2970)))&(((rev_Ar1106406943le_alt @ X2968)!=(cons_A228743023le_alt @ X2969 @ X2970))|((X2968)=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X2970) @ (cons_A228743023le_alt @ X2969 @ nil_Ar1286194111le_alt)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_496_rev__eq__Cons__iff])])). 24.37/3.86 thf(c_0_43, plain, ![X3311:list_A2115238852le_alt, X3312:arrow_475358991le_alt]:(((esk86_0 @ X3312 @ X3311)=(append179082452le_alt @ X3311 @ (cons_A228743023le_alt @ X3312 @ nil_Ar1286194111le_alt)))), inference(variable_rename,[status(thm)],[])). 24.37/3.86 thf(c_0_44, plain, ![X2975:arrow_475358991le_alt, X2976:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X2975 @ X2976))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X2976) @ (cons_A228743023le_alt @ X2975 @ nil_Ar1286194111le_alt)))), inference(variable_rename,[status(thm)],[fact_495_rev_Osimps_I2_J])). 24.37/3.86 thf(c_0_45, plain, ![X2626:arrow_475358991le_alt, X2627:arrow_475358991le_alt, X2628:produc1501160679le_alt > $o, X2629:arrow_475358991le_alt, X2630:arrow_475358991le_alt]:(((((((X2626)!=(X2627))|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&(((X2627)!=(X2629))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2630) @ X2628)|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630))))&((((X2626)=(X2629))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ X2628)|((X2627)=(X2629))|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&(((X2626)!=(X2629))|((member214075476le_alt @ (produc1347929815le_alt @ X2630 @ X2627) @ X2628)|((X2627)=(X2630)))|((X2627)=(X2629))|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))))&(((((X2627)!=(X2629))|(((X2627)=(X2629))|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&(((((X2626)=(X2629))|((X2626)!=(X2629))|(((X2627)=(X2629))|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&((~(member214075476le_alt @ (produc1347929815le_alt @ X2630 @ X2627) @ X2628)|((X2626)!=(X2629))|(((X2627)=(X2629))|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&(((X2627)!=(X2630))|((X2626)!=(X2629))|(((X2627)=(X2629))|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))))&((((X2626)=(X2629))|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ X2628)|(((X2627)=(X2629))|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&((~(member214075476le_alt @ (produc1347929815le_alt @ X2630 @ X2627) @ X2628)|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ X2628)|(((X2627)=(X2629))|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&(((X2627)!=(X2630))|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ X2628)|(((X2627)=(X2629))|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))))))&((((X2627)!=(X2629))|(~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2630) @ X2628)|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&(((((X2626)=(X2629))|((X2626)!=(X2629))|(~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2630) @ X2628)|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&((~(member214075476le_alt @ (produc1347929815le_alt @ X2630 @ X2627) @ X2628)|((X2626)!=(X2629))|(~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2630) @ X2628)|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&(((X2627)!=(X2630))|((X2626)!=(X2629))|(~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2630) @ X2628)|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))))&((((X2626)=(X2629))|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ X2628)|(~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2630) @ X2628)|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&((~(member214075476le_alt @ (produc1347929815le_alt @ X2630 @ X2627) @ X2628)|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ X2628)|(~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2630) @ X2628)|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))&(((X2627)!=(X2630))|~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ X2628)|(~(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2630) @ X2628)|((X2626)=(X2627)))|(member214075476le_alt @ (produc1347929815le_alt @ X2626 @ X2627) @ (arrow_2098199487_below @ X2628 @ X2629 @ X2630))|~(member377231867_alt_o @ X2628 @ arrow_823908191le_Lin)|((X2629)=(X2630)))))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])). 24.37/3.86 thf(c_0_46, negated_conjecture, ((~(member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0))|~(member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ esk1_0) @ c @ b)))&((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0))|(member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ esk1_0) @ c @ b)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])). 24.37/3.86 thf(c_0_47, plain, ![X3325:arrow_1429601828e_indi]:(((epred19_0 @ X3325)=(arrow_2098199487_below @ (p @ X3325) @ c @ b))), inference(variable_rename,[status(thm)],[])). 24.37/3.86 thf(c_0_48, plain, ![X10:arrow_475358991le_alt, X16:arrow_475358991le_alt, X17:list_A2115238852le_alt, X55:list_A2115238852le_alt]:((((X17)=(X55))|((cons_A228743023le_alt @ X10 @ X17)!=(cons_A228743023le_alt @ X16 @ X55)))), inference(split_conjunct,[status(thm)],[c_0_39])). 24.37/3.86 thf(c_0_49, plain, ![X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|((X17)=(cons_A228743023le_alt @ (esk41_1 @ X17) @ (esk42_1 @ X17))))), inference(split_conjunct,[status(thm)],[c_0_40])). 24.37/3.86 thf(c_0_50, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((nil_Ar1286194111le_alt)!=(cons_A228743023le_alt @ X10 @ X17))), inference(split_conjunct,[status(thm)],[c_0_41])). 24.37/3.86 thf(c_0_51, plain, ![X55:list_A2115238852le_alt, X17:list_A2115238852le_alt, X10:arrow_475358991le_alt]:((((rev_Ar1106406943le_alt @ X17)=(cons_A228743023le_alt @ X10 @ X55))|((X17)!=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X55) @ (cons_A228743023le_alt @ X10 @ nil_Ar1286194111le_alt))))), inference(split_conjunct,[status(thm)],[c_0_42])). 24.37/3.86 thf(c_0_52, plain, ![X17:list_A2115238852le_alt, X10:arrow_475358991le_alt]:(((esk86_0 @ X10 @ X17)=(append179082452le_alt @ X17 @ (cons_A228743023le_alt @ X10 @ nil_Ar1286194111le_alt)))), inference(split_conjunct,[status(thm)],[c_0_43])). 24.37/3.86 thf(c_0_53, plain, ![X3122:list_A2115238852le_alt, X3123:arrow_475358991le_alt]:(((((rev_Ar1106406943le_alt @ X3122)!=(cons_A228743023le_alt @ X3123 @ nil_Ar1286194111le_alt))|((X3122)=(cons_A228743023le_alt @ X3123 @ nil_Ar1286194111le_alt)))&(((X3122)!=(cons_A228743023le_alt @ X3123 @ nil_Ar1286194111le_alt))|((rev_Ar1106406943le_alt @ X3122)=(cons_A228743023le_alt @ X3123 @ nil_Ar1286194111le_alt))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_492_rev__singleton__conv])])). 24.37/3.86 thf(c_0_54, plain, ![X17:list_A2115238852le_alt, X10:arrow_475358991le_alt]:(((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X10 @ X17))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X17) @ (cons_A228743023le_alt @ X10 @ nil_Ar1286194111le_alt)))), inference(split_conjunct,[status(thm)],[c_0_44])). 24.37/3.86 thf(c_0_55, plain, ![X2777:arrow_475358991le_alt, X2778:list_A2115238852le_alt, X2779:list_A2115238852le_alt]:(((append179082452le_alt @ (cons_A228743023le_alt @ X2777 @ X2778) @ X2779)=(cons_A228743023le_alt @ X2777 @ (append179082452le_alt @ X2778 @ X2779)))), inference(variable_rename,[status(thm)],[fact_373_append__Cons])). 24.37/3.86 thf(c_0_56, plain, ![X16:arrow_475358991le_alt, X10:arrow_475358991le_alt, X35:arrow_475358991le_alt, X31:arrow_475358991le_alt, X6:produc1501160679le_alt > $o]:(((member214075476le_alt @ (produc1347929815le_alt @ X31 @ X35) @ X6)|((X16)=(X35))|((X10)!=(X16))|~((member214075476le_alt @ (produc1347929815le_alt @ X31 @ X10) @ (arrow_2098199487_below @ X6 @ X16 @ X35)))|~((member377231867_alt_o @ X6 @ arrow_823908191le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_45])). 24.37/3.86 thf(c_0_57, plain, ![X2611:produc1501160679le_alt, X2612:produc1501160679le_alt > $o]:(((~(member214075476le_alt @ X2611 @ X2612)|(X2612 @ X2611))&(~(X2612 @ X2611)|(member214075476le_alt @ X2611 @ X2612)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_268_mem__def])])). 24.37/3.86 thf(c_0_58, negated_conjecture, ((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0))|(member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ esk1_0) @ c @ b))), inference(split_conjunct,[status(thm)],[c_0_46])). 24.37/3.86 thf(c_0_59, plain, ![X1:arrow_1429601828e_indi]:(((epred19_0 @ X1)=(arrow_2098199487_below @ (p @ X1) @ c @ b))), inference(split_conjunct,[status(thm)],[c_0_47])). 24.37/3.86 thf(c_0_60, plain, ![X969:arrow_1429601828e_indi, X970:arrow_1429601828e_indi > produc1501160679le_alt > $o, X971:arrow_1429601828e_indi > $o, X972:arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o]:(((member526088951_alt_o @ X970 @ (pi_Arr1929480907_alt_o @ X971 @ X972))=>((member2052026769e_indi @ X969 @ X971)=>(member377231867_alt_o @ (X970 @ X969) @ (X972 @ X969))))), inference(fof_simplification,[status(thm)],[fact_151_Pi__mem])). 24.37/3.86 thf(c_0_61, plain, ((top_to988227749indi_o)=(collec22405327e_indi @ (^[Z0/* 3 */:arrow_1429601828e_indi]:(($true))))), inference(fof_simplification,[status(thm)],[fact_344_UNIV__def])). 24.37/3.86 thf(c_0_62, plain, ![X3284:arrow_1429601828e_indi]:(((epred26_0 @ X3284)<=>($true))), introduced(definition)). 24.37/3.86 thf(c_0_63, plain, ![X3194:arrow_1429601828e_indi > $o]:(((collec22405327e_indi @ X3194)=(X3194))), inference(variable_rename,[status(thm)],[fact_273_Collect__def])). 24.37/3.86 thf(c_0_64, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((esk42_1 @ (cons_A228743023le_alt @ X10 @ X17))=(X17))), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49])]), c_0_50])). 24.37/3.86 thf(c_0_65, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((cons_A228743023le_alt @ X10 @ X17)=(rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ (rev_Ar1106406943le_alt @ X17))))), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])])). 24.37/3.86 thf(c_0_66, plain, ![X17:list_A2115238852le_alt, X10:arrow_475358991le_alt]:((((rev_Ar1106406943le_alt @ X17)=(cons_A228743023le_alt @ X10 @ nil_Ar1286194111le_alt))|((X17)!=(cons_A228743023le_alt @ X10 @ nil_Ar1286194111le_alt)))), inference(split_conjunct,[status(thm)],[c_0_53])). 24.37/3.86 thf(c_0_67, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X10 @ X17))=(esk86_0 @ X10 @ (rev_Ar1106406943le_alt @ X17)))), inference(rw,[status(thm)],[c_0_54, c_0_52])). 24.37/3.86 thf(c_0_68, plain, ((rev_Ar1106406943le_alt @ nil_Ar1286194111le_alt)=(nil_Ar1286194111le_alt)), inference(split_conjunct,[status(thm)],[fact_489_rev_Osimps_I1_J])). 24.37/3.86 thf(c_0_69, plain, ![X3149:arrow_475358991le_alt, X3150:list_A2115238852le_alt]:(((tl_Arr465451158le_alt @ (cons_A228743023le_alt @ X3149 @ X3150))=(X3150))), inference(variable_rename,[status(thm)],[fact_452_tl_Osimps_I2_J])). 24.37/3.86 thf(c_0_70, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt, X55:list_A2115238852le_alt]:(((append179082452le_alt @ (cons_A228743023le_alt @ X10 @ X17) @ X55)=(cons_A228743023le_alt @ X10 @ (append179082452le_alt @ X17 @ X55)))), inference(split_conjunct,[status(thm)],[c_0_55])). 24.37/3.86 thf(c_0_71, plain, ![X31:arrow_475358991le_alt, X16:arrow_475358991le_alt, X10:arrow_475358991le_alt, X6:produc1501160679le_alt > $o]:((((X10)=(X16))|(member214075476le_alt @ (produc1347929815le_alt @ X31 @ X16) @ X6)|~((member214075476le_alt @ (produc1347929815le_alt @ X31 @ X10) @ (arrow_2098199487_below @ X6 @ X10 @ X16)))|~((member377231867_alt_o @ X6 @ arrow_823908191le_Lin)))), inference(er,[status(thm)],[c_0_56])). 24.37/3.86 thf(c_0_72, plain, ![X69:produc1501160679le_alt, X6:produc1501160679le_alt > $o]:(((X6 @ X69)|~((member214075476le_alt @ X69 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_57])). 24.37/3.86 thf(c_0_73, negated_conjecture, ((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0))|(member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (epred19_0 @ esk1_0))), inference(rw,[status(thm)],[c_0_58, c_0_59])). 24.37/3.86 thf(c_0_74, plain, ![X3052:arrow_1429601828e_indi, X3053:arrow_1429601828e_indi > produc1501160679le_alt > $o, X3054:arrow_1429601828e_indi > $o, X3055:arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o]:((~(member526088951_alt_o @ X3053 @ (pi_Arr1929480907_alt_o @ X3054 @ X3055))|(~(member2052026769e_indi @ X3052 @ X3054)|(member377231867_alt_o @ (X3053 @ X3052) @ (X3055 @ X3052))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])). 24.37/3.86 thf(c_0_75, plain, ((arrow_734252939e_Prof)=(pi_Arr1929480907_alt_o @ top_to988227749indi_o @ (^[Z0/* 25 */:arrow_1429601828e_indi]:(arrow_823908191le_Lin)))), inference(fof_simplification,[status(thm)],[fact_289_Prof__def])). 24.37/3.86 thf(c_0_76, plain, ![X3272:arrow_1429601828e_indi]:(((epred21_0 @ X3272)=(arrow_823908191le_Lin))), introduced(definition)). 24.37/3.86 thf(c_0_77, plain, ((top_to988227749indi_o)=(collec22405327e_indi @ epred26_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_61]), c_0_62])). 24.37/3.86 thf(c_0_78, plain, ![X7:arrow_1429601828e_indi > $o]:(((collec22405327e_indi @ X7)=(X7))), inference(split_conjunct,[status(thm)],[c_0_63])). 24.37/3.86 thf(c_0_79, plain, ![X3174:arrow_1429601828e_indi, X3175:arrow_1429601828e_indi > $o]:(((~(member2052026769e_indi @ X3174 @ X3175)|(X3175 @ X3174))&(~(X3175 @ X3174)|(member2052026769e_indi @ X3174 @ X3175)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_265_mem__def])])). 24.37/3.86 thf(c_0_80, plain, ![X3315:arrow_1429601828e_indi]:((epred26_0 @ X3315)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[])])). 24.37/3.86 thf(c_0_81, plain, ![X1944:arrow_475358991le_alt, X1945:list_A2115238852le_alt]:(((distin236324274le_alt @ (cons_A228743023le_alt @ X1944 @ X1945))<=>((distin236324274le_alt @ X1945)&~(member84363362le_alt @ X1944 @ (set_Ar577454304le_alt @ X1945))))), inference(fof_simplification,[status(thm)],[fact_556_distinct_Osimps_I2_J])). 24.37/3.86 thf(c_0_82, plain, ![X775:arrow_475358991le_alt, X776:list_A2115238852le_alt]:(((member84363362le_alt @ X775 @ (set_Ar577454304le_alt @ (butlas274947851le_alt @ X776)))=>(member84363362le_alt @ X775 @ (set_Ar577454304le_alt @ X776)))), inference(fof_simplification,[status(thm)],[fact_532_in__set__butlastD])). 24.37/3.86 thf(c_0_83, plain, ![X1455:list_A2115238852le_alt]:((((X1455)!=(nil_Ar1286194111le_alt))=>(member84363362le_alt @ (last_A1217315288le_alt @ X1455) @ (set_Ar577454304le_alt @ X1455)))), inference(fof_simplification,[status(thm)],[fact_572_last__in__set])). 24.37/3.86 thf(c_0_84, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((esk42_1 @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ (rev_Ar1106406943le_alt @ X17))))=(X17))), inference(rw,[status(thm)],[c_0_64, c_0_65])). 24.37/3.86 thf(c_0_85, plain, ![X10:arrow_475358991le_alt]:(((cons_A228743023le_alt @ X10 @ nil_Ar1286194111le_alt)=(esk86_0 @ X10 @ nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_66]), c_0_67]), c_0_68])). 24.37/3.86 thf(c_0_86, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((tl_Arr465451158le_alt @ (cons_A228743023le_alt @ X10 @ X17))=(X17))), inference(split_conjunct,[status(thm)],[c_0_69])). 24.37/3.86 thf(c_0_87, plain, ![X2861:list_A2115238852le_alt, X2862:list_A2115238852le_alt]:(((((X2861)!=(append179082452le_alt @ X2861 @ X2862))|((X2862)=(nil_Ar1286194111le_alt)))&(((X2862)!=(nil_Ar1286194111le_alt))|((X2861)=(append179082452le_alt @ X2861 @ X2862))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_378_self__append__conv])])). 24.37/3.86 thf(c_0_88, plain, ![X2798:list_A2115238852le_alt, X2799:arrow_475358991le_alt]:(((X2798)!=(cons_A228743023le_alt @ X2799 @ X2798))), inference(variable_rename,[status(thm)],[fact_43_not__Cons__self])). 24.37/3.86 thf(c_0_89, plain, ![X1475:list_A2115238852le_alt]:((((X1475)!=(nil_Ar1286194111le_alt))=>((last_A1217315288le_alt @ (rev_Ar1106406943le_alt @ X1475))=(hd_Arr1965683346le_alt @ X1475)))), inference(fof_simplification,[status(thm)],[fact_478_last__rev])). 24.37/3.86 thf(c_0_90, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt, X55:list_A2115238852le_alt]:(((append179082452le_alt @ (cons_A228743023le_alt @ X10 @ X17) @ X55)!=(nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_50, c_0_70])). 24.37/3.86 thf(c_0_91, plain, ![X10:arrow_475358991le_alt, X1:arrow_1429601828e_indi]:((((b)=(c))|(member214075476le_alt @ (produc1347929815le_alt @ X10 @ b) @ (p @ X1))|~((member214075476le_alt @ (produc1347929815le_alt @ X10 @ c) @ (epred19_0 @ X1)))|~((member377231867_alt_o @ (p @ X1) @ arrow_823908191le_Lin)))), inference(spm,[status(thm)],[c_0_71, c_0_59])). 24.37/3.86 thf(c_0_92, negated_conjecture, ((member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (epred19_0 @ esk1_0))|(p @ esk1_0 @ (produc1347929815le_alt @ a @ b))), inference(spm,[status(thm)],[c_0_72, c_0_73])). 24.37/3.86 thf(c_0_93, plain, ![X6:produc1501160679le_alt > $o, X69:produc1501160679le_alt]:(((member214075476le_alt @ X69 @ X6)|~((X6 @ X69)))), inference(split_conjunct,[status(thm)],[c_0_57])). 24.37/3.86 thf(c_0_94, plain, ![X3323:arrow_1429601828e_indi]:(((epred21_0 @ X3323)=(arrow_823908191le_Lin))), inference(variable_rename,[status(thm)],[])). 24.37/3.86 thf(c_0_95, plain, ![X1:arrow_1429601828e_indi, X417:arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o, X70:arrow_1429601828e_indi > produc1501160679le_alt > $o, X7:arrow_1429601828e_indi > $o]:(((member377231867_alt_o @ (X70 @ X1) @ (X417 @ X1))|~((member526088951_alt_o @ X70 @ (pi_Arr1929480907_alt_o @ X7 @ X417)))|~((member2052026769e_indi @ X1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_74])). 24.37/3.86 thf(c_0_96, plain, (member526088951_alt_o @ p @ arrow_734252939e_Prof), inference(split_conjunct,[status(thm)],[fact_0__096P_A_058_AProf_096])). 24.37/3.86 thf(c_0_97, plain, ((arrow_734252939e_Prof)=(pi_Arr1929480907_alt_o @ top_to988227749indi_o @ epred21_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_75]), c_0_76])). 24.37/3.86 thf(c_0_98, plain, ((top_to988227749indi_o)=(epred26_0)), inference(rw,[status(thm)],[c_0_77, c_0_78])). 24.37/3.86 thf(c_0_99, plain, ![X7:arrow_1429601828e_indi > $o, X1:arrow_1429601828e_indi]:(((member2052026769e_indi @ X1 @ X7)|~((X7 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_79])). 24.37/3.86 thf(c_0_100, plain, ![X1:arrow_1429601828e_indi]:((epred26_0 @ X1)), inference(split_conjunct,[status(thm)],[c_0_80])). 24.37/3.86 thf(c_0_101, plain, ![X2768:arrow_475358991le_alt, X2769:list_A2115238852le_alt]:(((((distin236324274le_alt @ X2769)|~(distin236324274le_alt @ (cons_A228743023le_alt @ X2768 @ X2769)))&(~(member84363362le_alt @ X2768 @ (set_Ar577454304le_alt @ X2769))|~(distin236324274le_alt @ (cons_A228743023le_alt @ X2768 @ X2769))))&(~(distin236324274le_alt @ X2769)|(member84363362le_alt @ X2768 @ (set_Ar577454304le_alt @ X2769))|(distin236324274le_alt @ (cons_A228743023le_alt @ X2768 @ X2769))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])). 24.37/3.86 thf(c_0_102, plain, ![X2931:arrow_475358991le_alt, X2932:list_A2115238852le_alt]:((~(member84363362le_alt @ X2931 @ (set_Ar577454304le_alt @ (butlas274947851le_alt @ X2932)))|(member84363362le_alt @ X2931 @ (set_Ar577454304le_alt @ X2932)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])). 24.37/3.86 thf(c_0_103, plain, ![X2955:list_A2115238852le_alt]:((((X2955)=(nil_Ar1286194111le_alt))|(member84363362le_alt @ (last_A1217315288le_alt @ X2955) @ (set_Ar577454304le_alt @ X2955)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])). 24.37/3.86 thf(c_0_104, plain, ![X955:arrow_475358991le_alt, X956:arrow_475358991le_alt > $o, X957:list_A2115238852le_alt]:(((member84363362le_alt @ X955 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X956 @ X957)))=>((X956 @ X955)&(member84363362le_alt @ X955 @ (set_Ar577454304le_alt @ X957))))), inference(fof_simplification,[status(thm)],[fact_523_set__takeWhileD])). 24.37/3.86 thf(c_0_105, plain, ![X1016:list_A2115238852le_alt]:((((X1016)!=(nil_Ar1286194111le_alt))=>((distin236324274le_alt @ X1016)=>((takeWh1696291512le_alt @ (^[Z0/* 7 */:arrow_475358991le_alt]:(~(((Z0)=(last_A1217315288le_alt @ X1016))))) @ X1016)=(butlas274947851le_alt @ X1016))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_336_takeWhile__not__last])])). 24.37/3.86 thf(c_0_106, plain, ![X3134:list_A2115238852le_alt]:((((X3134)=(nil_Ar1286194111le_alt))|((rotate335349260le_alt @ X3134)=(append179082452le_alt @ (tl_Arr465451158le_alt @ X3134) @ (cons_A228743023le_alt @ (hd_Arr1965683346le_alt @ X3134) @ nil_Ar1286194111le_alt))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_464_rotate1__hd__tl])])). 24.37/3.86 thf(c_0_107, plain, ![X10:arrow_475358991le_alt]:(((esk42_1 @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt)))=(nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_84, c_0_68])). 24.37/3.86 thf(c_0_108, plain, ![X10:arrow_475358991le_alt]:(((rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt))=(esk86_0 @ X10 @ nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_65]), c_0_68])). 24.37/3.86 thf(c_0_109, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((tl_Arr465451158le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ (rev_Ar1106406943le_alt @ X17))))=(X17))), inference(rw,[status(thm)],[c_0_86, c_0_65])). 24.37/3.86 thf(c_0_110, plain, ![X17:list_A2115238852le_alt]:((((rev_Ar1106406943le_alt @ (esk86_0 @ (esk41_1 @ X17) @ (rev_Ar1106406943le_alt @ (esk42_1 @ X17))))=(X17))|((X17)=(nil_Ar1286194111le_alt)))), inference(rw,[status(thm)],[c_0_49, c_0_65])). 24.37/3.86 thf(c_0_111, plain, ![X17:list_A2115238852le_alt, X55:list_A2115238852le_alt]:((((X55)=(nil_Ar1286194111le_alt))|((X17)!=(append179082452le_alt @ X17 @ X55)))), inference(split_conjunct,[status(thm)],[c_0_87])). 24.37/3.86 thf(c_0_112, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((X17)!=(cons_A228743023le_alt @ X10 @ X17))), inference(split_conjunct,[status(thm)],[c_0_88])). 24.37/3.86 thf(c_0_113, plain, ![X3121:list_A2115238852le_alt]:((((X3121)=(nil_Ar1286194111le_alt))|((last_A1217315288le_alt @ (rev_Ar1106406943le_alt @ X3121))=(hd_Arr1965683346le_alt @ X3121)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])). 24.37/3.86 thf(c_0_114, plain, ![X2998:list_A2115238852le_alt, X2999:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (append179082452le_alt @ X2998 @ X2999))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X2999) @ (rev_Ar1106406943le_alt @ X2998)))), inference(variable_rename,[status(thm)],[fact_486_rev__append])). 24.37/3.86 thf(c_0_115, plain, ![X2987:list_A2115238852le_alt, X2988:arrow_475358991le_alt]:(((last_A1217315288le_alt @ (append179082452le_alt @ X2987 @ (cons_A228743023le_alt @ X2988 @ nil_Ar1286194111le_alt)))=(X2988))), inference(variable_rename,[status(thm)],[fact_394_last__snoc])). 24.37/3.86 thf(c_0_116, plain, ![X2851:list_A2115238852le_alt, X2852:list_A2115238852le_alt]:(((((X2852)!=(nil_Ar1286194111le_alt))|((X2851)!=(nil_Ar1286194111le_alt))|((nil_Ar1286194111le_alt)=(append179082452le_alt @ X2851 @ X2852)))&((((X2852)=(nil_Ar1286194111le_alt))|((nil_Ar1286194111le_alt)!=(append179082452le_alt @ X2851 @ X2852)))&(((X2851)=(nil_Ar1286194111le_alt))|((nil_Ar1286194111le_alt)!=(append179082452le_alt @ X2851 @ X2852)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_376_Nil__is__append__conv])])])). 24.37/3.86 thf(c_0_117, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt, X55:list_A2115238852le_alt]:(((append179082452le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ (rev_Ar1106406943le_alt @ X17))) @ X55)!=(nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[c_0_90, c_0_65])). 24.37/3.86 thf(c_0_118, negated_conjecture, (((b)=(c))|(member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0))|~((member377231867_alt_o @ (p @ esk1_0) @ arrow_823908191le_Lin))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93])). 24.37/3.86 thf(c_0_119, plain, ![X1:arrow_1429601828e_indi]:(((epred21_0 @ X1)=(arrow_823908191le_Lin))), inference(split_conjunct,[status(thm)],[c_0_94])). 24.37/3.86 thf(c_0_120, plain, ![X1:arrow_1429601828e_indi, X417:arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o, X7:arrow_1429601828e_indi > $o]:(((member377231867_alt_o @ (p @ X1) @ (X417 @ X1))|((pi_Arr1929480907_alt_o @ X7 @ X417)!=(arrow_734252939e_Prof))|~((member2052026769e_indi @ X1 @ X7)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_95, c_0_96])])). 24.37/3.86 thf(c_0_121, plain, ((pi_Arr1929480907_alt_o @ epred26_0 @ epred21_0)=(arrow_734252939e_Prof)), inference(rw,[status(thm)],[c_0_97, c_0_98])). 24.37/3.86 thf(c_0_122, plain, ![X1:arrow_1429601828e_indi]:((member2052026769e_indi @ X1 @ epred26_0)), inference(spm,[status(thm)],[c_0_99, c_0_100])). 24.37/3.86 thf(c_0_123, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:((~((member84363362le_alt @ X10 @ (set_Ar577454304le_alt @ X17)))|~((distin236324274le_alt @ (cons_A228743023le_alt @ X10 @ X17))))), inference(split_conjunct,[status(thm)],[c_0_101])). 24.37/3.86 thf(c_0_124, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((member84363362le_alt @ X10 @ (set_Ar577454304le_alt @ X17))|~((member84363362le_alt @ X10 @ (set_Ar577454304le_alt @ (butlas274947851le_alt @ X17)))))), inference(split_conjunct,[status(thm)],[c_0_102])). 24.37/3.86 thf(c_0_125, plain, ![X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|(member84363362le_alt @ (last_A1217315288le_alt @ X17) @ (set_Ar577454304le_alt @ X17)))), inference(split_conjunct,[status(thm)],[c_0_103])). 24.37/3.86 thf(c_0_126, plain, ![X2943:arrow_475358991le_alt, X2944:arrow_475358991le_alt > $o, X2945:list_A2115238852le_alt]:((((X2944 @ X2943)|~(member84363362le_alt @ X2943 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X2944 @ X2945))))&((member84363362le_alt @ X2943 @ (set_Ar577454304le_alt @ X2945))|~(member84363362le_alt @ X2943 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X2944 @ X2945)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])])). 24.37/3.86 thf(c_0_127, plain, ![X2762:list_A2115238852le_alt]:((((X2762)=(nil_Ar1286194111le_alt))|(~(distin236324274le_alt @ X2762)|((takeWh1696291512le_alt @ (^[Z0/* 7 */:arrow_475358991le_alt]:(~(((Z0)=(last_A1217315288le_alt @ X2762))))) @ X2762)=(butlas274947851le_alt @ X2762))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])). 24.37/3.86 thf(c_0_128, plain, ![X3275:arrow_475358991le_alt, X10:arrow_475358991le_alt]:(((epred24_1 @ X10 @ X3275)<=>~(((X3275)=(X10))))), introduced(definition)). 24.37/3.86 thf(c_0_129, plain, ![X2966:list_A2115238852le_alt, X2967:arrow_475358991le_alt]:(((butlas274947851le_alt @ (append179082452le_alt @ X2966 @ (cons_A228743023le_alt @ X2967 @ nil_Ar1286194111le_alt)))=(X2966))), inference(variable_rename,[status(thm)],[fact_393_butlast__snoc])). 24.37/3.86 thf(c_0_130, plain, ![X2759:list_A2115238852le_alt]:(((~(distin236324274le_alt @ (rotate335349260le_alt @ X2759))|(distin236324274le_alt @ X2759))&(~(distin236324274le_alt @ X2759)|(distin236324274le_alt @ (rotate335349260le_alt @ X2759))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_406_distinct1__rotate])])). 24.37/3.86 thf(c_0_131, plain, ![X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|((rotate335349260le_alt @ X17)=(append179082452le_alt @ (tl_Arr465451158le_alt @ X17) @ (cons_A228743023le_alt @ (hd_Arr1965683346le_alt @ X17) @ nil_Ar1286194111le_alt))))), inference(split_conjunct,[status(thm)],[c_0_106])). 24.37/3.86 thf(c_0_132, plain, ![X3153:list_A2115238852le_alt, X3154:list_A2115238852le_alt]:((((X3154)=(nil_Ar1286194111le_alt))|((tl_Arr465451158le_alt @ (append179082452le_alt @ X3154 @ X3153))=(append179082452le_alt @ (tl_Arr465451158le_alt @ X3154) @ X3153)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_457_tl__append2])])). 24.37/3.86 thf(c_0_133, plain, ![X10:arrow_475358991le_alt]:(((esk42_1 @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt))=(nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[c_0_107, c_0_108])). 24.37/3.86 thf(c_0_134, plain, ![X17:list_A2115238852le_alt]:((((esk42_1 @ X17)=(tl_Arr465451158le_alt @ X17))|((X17)=(nil_Ar1286194111le_alt)))), inference(spm,[status(thm)],[c_0_109, c_0_110])). 24.37/3.86 thf(c_0_135, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((esk86_0 @ X10 @ X17)!=(X17))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_52]), c_0_112])). 24.37/3.86 thf(c_0_136, plain, ![X2858:list_A2115238852le_alt]:(((append179082452le_alt @ nil_Ar1286194111le_alt @ X2858)=(X2858))), inference(variable_rename,[status(thm)],[fact_375_append__Nil])). 24.37/3.86 thf(c_0_137, plain, ![X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|((last_A1217315288le_alt @ (rev_Ar1106406943le_alt @ X17))=(hd_Arr1965683346le_alt @ X17)))), inference(split_conjunct,[status(thm)],[c_0_113])). 24.37/3.86 thf(c_0_138, plain, ![X55:list_A2115238852le_alt, X17:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (append179082452le_alt @ X17 @ X55))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X55) @ (rev_Ar1106406943le_alt @ X17)))), inference(split_conjunct,[status(thm)],[c_0_114])). 24.37/3.86 thf(c_0_139, plain, ![X17:list_A2115238852le_alt, X10:arrow_475358991le_alt]:(((last_A1217315288le_alt @ (append179082452le_alt @ X17 @ (cons_A228743023le_alt @ X10 @ nil_Ar1286194111le_alt)))=(X10))), inference(split_conjunct,[status(thm)],[c_0_115])). 24.37/3.86 thf(c_0_140, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((distin236324274le_alt @ X17)|~((distin236324274le_alt @ (cons_A228743023le_alt @ X10 @ X17))))), inference(split_conjunct,[status(thm)],[c_0_101])). 24.37/3.86 thf(c_0_141, plain, (distin236324274le_alt @ (cons_A228743023le_alt @ a @ (cons_A228743023le_alt @ b @ (cons_A228743023le_alt @ c @ nil_Ar1286194111le_alt)))), inference(split_conjunct,[status(thm)],[fact_4_dist])). 24.37/3.86 thf(c_0_142, plain, ![X3119:list_A2115238852le_alt]:((((X3119)=(nil_Ar1286194111le_alt))|((hd_Arr1965683346le_alt @ (rev_Ar1106406943le_alt @ X3119))=(last_A1217315288le_alt @ X3119)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_479_hd__rev])])). 24.37/3.86 thf(c_0_143, plain, ![X55:list_A2115238852le_alt, X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|((nil_Ar1286194111le_alt)!=(append179082452le_alt @ X55 @ X17)))), inference(split_conjunct,[status(thm)],[c_0_116])). 24.37/3.86 thf(c_0_144, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((append179082452le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt)) @ X17)!=(nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_117, c_0_68])). 24.37/3.86 thf(c_0_145, plain, ![X16:arrow_475358991le_alt, X10:arrow_475358991le_alt, X35:arrow_475358991le_alt, X31:arrow_475358991le_alt, X6:produc1501160679le_alt > $o]:((((X31)=(X10))|(member214075476le_alt @ (produc1347929815le_alt @ X31 @ X10) @ (arrow_2098199487_below @ X6 @ X16 @ X35))|((X16)=(X35))|((X10)!=(X16))|~((member214075476le_alt @ (produc1347929815le_alt @ X31 @ X35) @ X6))|~((member377231867_alt_o @ X6 @ arrow_823908191le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_45])). 24.37/3.86 thf(c_0_146, plain, ![X1:arrow_1429601828e_indi]:((((b)=(c))|(member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0))|~((member377231867_alt_o @ (p @ esk1_0) @ (epred21_0 @ X1))))), inference(spm,[status(thm)],[c_0_118, c_0_119])). 24.37/3.86 thf(c_0_147, plain, ![X1:arrow_1429601828e_indi]:((member377231867_alt_o @ (p @ X1) @ (epred21_0 @ X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_122])])). 24.37/3.86 thf(c_0_148, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:((~((distin236324274le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ (rev_Ar1106406943le_alt @ X17)))))|~((member84363362le_alt @ X10 @ (set_Ar577454304le_alt @ X17))))), inference(rw,[status(thm)],[c_0_123, c_0_65])). 24.37/3.86 thf(c_0_149, plain, ![X17:list_A2115238852le_alt]:((((butlas274947851le_alt @ X17)=(nil_Ar1286194111le_alt))|(member84363362le_alt @ (last_A1217315288le_alt @ (butlas274947851le_alt @ X17)) @ (set_Ar577454304le_alt @ X17)))), inference(spm,[status(thm)],[c_0_124, c_0_125])). 24.37/3.86 thf(c_0_150, plain, ![X2763:list_A2115238852le_alt]:(((~(distin236324274le_alt @ X2763)|(distin236324274le_alt @ (rev_Ar1106406943le_alt @ X2763)))&(~(distin236324274le_alt @ (rev_Ar1106406943le_alt @ X2763))|(distin236324274le_alt @ X2763)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_491_distinct__rev])])). 24.37/3.86 thf(c_0_151, plain, ![X10:arrow_475358991le_alt, X12:arrow_475358991le_alt > $o, X17:list_A2115238852le_alt]:(((X12 @ X10)|~((member84363362le_alt @ X10 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X12 @ X17)))))), inference(split_conjunct,[status(thm)],[c_0_126])). 24.37/3.86 thf(c_0_152, plain, ![X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|((takeWh1696291512le_alt @ (epred24_1 @ (last_A1217315288le_alt @ X17)) @ X17)=(butlas274947851le_alt @ X17))|~((distin236324274le_alt @ X17)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_127]), c_0_128])). 24.37/3.86 thf(c_0_153, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((butlas274947851le_alt @ (append179082452le_alt @ X17 @ (cons_A228743023le_alt @ X10 @ nil_Ar1286194111le_alt)))=(X17))), inference(split_conjunct,[status(thm)],[c_0_129])). 24.37/3.86 thf(c_0_154, plain, ![X17:list_A2115238852le_alt]:(((distin236324274le_alt @ X17)|~((distin236324274le_alt @ (rotate335349260le_alt @ X17))))), inference(split_conjunct,[status(thm)],[c_0_130])). 24.37/3.86 thf(c_0_155, plain, ![X17:list_A2115238852le_alt]:((((rotate335349260le_alt @ X17)=(esk86_0 @ (hd_Arr1965683346le_alt @ X17) @ (tl_Arr465451158le_alt @ X17)))|((X17)=(nil_Ar1286194111le_alt)))), inference(rw,[status(thm)],[c_0_131, c_0_52])). 24.37/3.86 thf(c_0_156, plain, ![X17:list_A2115238852le_alt, X55:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|((tl_Arr465451158le_alt @ (append179082452le_alt @ X17 @ X55))=(append179082452le_alt @ (tl_Arr465451158le_alt @ X17) @ X55)))), inference(split_conjunct,[status(thm)],[c_0_132])). 24.37/3.86 thf(c_0_157, plain, ![X10:arrow_475358991le_alt]:(((tl_Arr465451158le_alt @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt))=(nil_Ar1286194111le_alt))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_134]), c_0_135])). 24.37/3.86 thf(c_0_158, plain, ![X17:list_A2115238852le_alt]:(((append179082452le_alt @ nil_Ar1286194111le_alt @ X17)=(X17))), inference(split_conjunct,[status(thm)],[c_0_136])). 24.37/3.86 thf(c_0_159, plain, ![X55:list_A2115238852le_alt, X17:list_A2115238852le_alt]:((((last_A1217315288le_alt @ (append179082452le_alt @ (rev_Ar1106406943le_alt @ X17) @ (rev_Ar1106406943le_alt @ X55)))=(hd_Arr1965683346le_alt @ (append179082452le_alt @ X55 @ X17)))|((append179082452le_alt @ X55 @ X17)=(nil_Ar1286194111le_alt)))), inference(spm,[status(thm)],[c_0_137, c_0_138])). 24.37/3.86 thf(c_0_160, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((append179082452le_alt @ X17 @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt))=(esk86_0 @ X10 @ X17))), inference(rw,[status(thm)],[c_0_52, c_0_85])). 24.37/3.86 thf(c_0_161, plain, ![X17:list_A2115238852le_alt, X10:arrow_475358991le_alt]:(((last_A1217315288le_alt @ (esk86_0 @ X10 @ X17))=(X10))), inference(rw,[status(thm)],[c_0_139, c_0_52])). 24.37/3.86 thf(c_0_162, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((append179082452le_alt @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt) @ X17)!=(nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_90, c_0_85])). 24.37/3.86 thf(c_0_163, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((distin236324274le_alt @ X17)|~((distin236324274le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ (rev_Ar1106406943le_alt @ X17))))))), inference(rw,[status(thm)],[c_0_140, c_0_65])). 24.37/3.86 thf(c_0_164, plain, (distin236324274le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ a @ (rev_Ar1106406943le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ b @ (esk86_0 @ c @ nil_Ar1286194111le_alt))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141, c_0_65]), c_0_65]), c_0_68]), c_0_65]), c_0_108]), c_0_108])). 24.37/3.86 thf(c_0_165, plain, ![X17:list_A2115238852le_alt]:(((distin236324274le_alt @ (rotate335349260le_alt @ X17))|~((distin236324274le_alt @ X17)))), inference(split_conjunct,[status(thm)],[c_0_130])). 24.37/3.86 thf(c_0_166, plain, ![X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|((hd_Arr1965683346le_alt @ (rev_Ar1106406943le_alt @ X17))=(last_A1217315288le_alt @ X17)))), inference(split_conjunct,[status(thm)],[c_0_142])). 24.37/3.86 thf(c_0_167, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((esk86_0 @ X10 @ X17)!=(nil_Ar1286194111le_alt))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_52]), c_0_112])). 24.37/3.86 thf(c_0_168, plain, ![X17:list_A2115238852le_alt, X10:arrow_475358991le_alt]:(((rev_Ar1106406943le_alt @ (append179082452le_alt @ X17 @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt)))!=(nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_144, c_0_138])). 24.37/3.86 thf(c_0_169, plain, ![X31:arrow_475358991le_alt, X16:arrow_475358991le_alt, X10:arrow_475358991le_alt, X6:produc1501160679le_alt > $o]:((((X10)=(X16))|((X10)=(X31))|(member214075476le_alt @ (produc1347929815le_alt @ X31 @ X10) @ (arrow_2098199487_below @ X6 @ X10 @ X16))|~((member214075476le_alt @ (produc1347929815le_alt @ X31 @ X16) @ X6))|~((member377231867_alt_o @ X6 @ arrow_823908191le_Lin)))), inference(er,[status(thm)],[c_0_145])). 24.37/3.86 thf(c_0_170, plain, (((b)=(c))|(member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0))), inference(spm,[status(thm)],[c_0_146, c_0_147])). 24.37/3.86 thf(c_0_171, plain, ![X1:arrow_1429601828e_indi]:((member377231867_alt_o @ (p @ X1) @ arrow_823908191le_Lin)), inference(spm,[status(thm)],[c_0_147, c_0_119])). 24.37/3.86 thf(c_0_172, plain, ![X17:list_A2115238852le_alt]:((((butlas274947851le_alt @ X17)=(nil_Ar1286194111le_alt))|~((distin236324274le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ (last_A1217315288le_alt @ (butlas274947851le_alt @ X17)) @ (rev_Ar1106406943le_alt @ X17))))))), inference(spm,[status(thm)],[c_0_148, c_0_149])). 24.37/3.86 thf(c_0_173, plain, ![X17:list_A2115238852le_alt]:(((distin236324274le_alt @ (rev_Ar1106406943le_alt @ X17))|~((distin236324274le_alt @ X17)))), inference(split_conjunct,[status(thm)],[c_0_150])). 24.37/3.86 thf(c_0_174, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|(epred24_1 @ (last_A1217315288le_alt @ X17) @ X10)|~((member84363362le_alt @ X10 @ (set_Ar577454304le_alt @ (butlas274947851le_alt @ X17))))|~((distin236324274le_alt @ X17)))), inference(spm,[status(thm)],[c_0_151, c_0_152])). 24.37/3.86 thf(c_0_175, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((butlas274947851le_alt @ (esk86_0 @ X10 @ X17))=(X17))), inference(rw,[status(thm)],[c_0_153, c_0_52])). 24.37/3.86 thf(c_0_176, plain, ![X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|(distin236324274le_alt @ X17)|~((distin236324274le_alt @ (esk86_0 @ (hd_Arr1965683346le_alt @ X17) @ (tl_Arr465451158le_alt @ X17)))))), inference(spm,[status(thm)],[c_0_154, c_0_155])). 24.37/3.86 thf(c_0_177, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((tl_Arr465451158le_alt @ (append179082452le_alt @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt) @ X17))=(X17))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156, c_0_157]), c_0_158]), c_0_135])). 24.37/3.86 thf(c_0_178, plain, ![X17:list_A2115238852le_alt, X10:arrow_475358991le_alt]:(((hd_Arr1965683346le_alt @ (append179082452le_alt @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt) @ X17))=(X10))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_108]), c_0_160]), c_0_161]), c_0_162])). 24.37/3.86 thf(c_0_179, plain, ![X17:list_A2115238852le_alt]:(((distin236324274le_alt @ X17)|~((distin236324274le_alt @ (rev_Ar1106406943le_alt @ X17))))), inference(split_conjunct,[status(thm)],[c_0_150])). 24.37/3.86 thf(c_0_180, plain, (distin236324274le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ b @ (esk86_0 @ c @ nil_Ar1286194111le_alt)))), inference(spm,[status(thm)],[c_0_163, c_0_164])). 24.37/3.86 thf(c_0_181, plain, ![X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|(distin236324274le_alt @ (esk86_0 @ (hd_Arr1965683346le_alt @ X17) @ (tl_Arr465451158le_alt @ X17)))|~((distin236324274le_alt @ X17)))), inference(spm,[status(thm)],[c_0_165, c_0_155])). 24.37/3.86 thf(c_0_182, plain, ![X17:list_A2115238852le_alt, X10:arrow_475358991le_alt]:(((hd_Arr1965683346le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ X17)))=(X10))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_161]), c_0_167])). 24.37/3.86 thf(c_0_183, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ X17))!=(nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[c_0_168, c_0_160])). 24.37/3.86 thf(c_0_184, negated_conjecture, (~((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0)))|~((member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ esk1_0) @ c @ b)))), inference(split_conjunct,[status(thm)],[c_0_46])). 24.37/3.86 thf(c_0_185, plain, ![X10:arrow_475358991le_alt]:((((b)=(c))|((X10)=(a))|((X10)=(b))|(member214075476le_alt @ (produc1347929815le_alt @ a @ X10) @ (arrow_2098199487_below @ (p @ esk1_0) @ X10 @ b)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_170]), c_0_171])])). 24.37/3.86 thf(c_0_186, plain, ![X17:list_A2115238852le_alt]:((((butlas274947851le_alt @ X17)=(nil_Ar1286194111le_alt))|~((distin236324274le_alt @ (esk86_0 @ (last_A1217315288le_alt @ (butlas274947851le_alt @ X17)) @ (rev_Ar1106406943le_alt @ X17)))))), inference(spm,[status(thm)],[c_0_172, c_0_173])). 24.37/3.86 thf(c_0_187, plain, ![X10:arrow_475358991le_alt, X16:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((epred24_1 @ X10 @ X16)|~((member84363362le_alt @ X16 @ (set_Ar577454304le_alt @ X17)))|~((distin236324274le_alt @ (esk86_0 @ X10 @ X17))))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174, c_0_175]), c_0_161]), c_0_167])). 24.37/3.86 thf(c_0_188, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:((member84363362le_alt @ X10 @ (set_Ar577454304le_alt @ (esk86_0 @ X10 @ X17)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_161]), c_0_167])). 24.37/3.86 thf(c_0_189, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((distin236324274le_alt @ (append179082452le_alt @ (esk86_0 @ X10 @ nil_Ar1286194111le_alt) @ X17))|~((distin236324274le_alt @ (esk86_0 @ X10 @ X17))))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_177]), c_0_178]), c_0_162])). 24.37/3.86 thf(c_0_190, plain, (distin236324274le_alt @ (esk86_0 @ b @ (esk86_0 @ c @ nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_179, c_0_180])). 24.37/3.86 thf(c_0_191, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((distin236324274le_alt @ (esk86_0 @ X10 @ X17))|~((distin236324274le_alt @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ (rev_Ar1106406943le_alt @ X17))))))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_109]), c_0_182]), c_0_183])). 24.37/3.86 thf(c_0_192, negated_conjecture, (~((member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (epred19_0 @ esk1_0)))|~((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0)))), inference(rw,[status(thm)],[c_0_184, c_0_59])). 24.37/3.86 thf(c_0_193, plain, (((a)=(c))|((b)=(c))|(member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (epred19_0 @ esk1_0))), inference(spm,[status(thm)],[c_0_185, c_0_59])). 24.37/3.86 thf(c_0_194, plain, ![X10:arrow_475358991le_alt, X17:list_A2115238852le_alt]:((((X17)=(nil_Ar1286194111le_alt))|~((distin236324274le_alt @ (esk86_0 @ (last_A1217315288le_alt @ X17) @ (rev_Ar1106406943le_alt @ (esk86_0 @ X10 @ X17))))))), inference(spm,[status(thm)],[c_0_186, c_0_175])). 24.37/3.86 thf(c_0_195, plain, ![X3318:arrow_475358991le_alt, X3319:arrow_475358991le_alt]:(((~(epred24_1 @ X3319 @ X3318)|((X3318)!=(X3319)))&(((X3318)=(X3319))|(epred24_1 @ X3319 @ X3318)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])). 24.37/3.86 thf(c_0_196, plain, ![X10:arrow_475358991le_alt, X16:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(((epred24_1 @ X10 @ X16)|~((distin236324274le_alt @ (esk86_0 @ X10 @ (esk86_0 @ X16 @ X17)))))), inference(spm,[status(thm)],[c_0_187, c_0_188])). 24.37/3.86 thf(c_0_197, plain, (distin236324274le_alt @ (esk86_0 @ c @ (esk86_0 @ b @ nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189, c_0_190]), c_0_160])). 24.37/3.86 thf(c_0_198, plain, (distin236324274le_alt @ (esk86_0 @ a @ (rev_Ar1106406943le_alt @ (esk86_0 @ b @ (esk86_0 @ c @ nil_Ar1286194111le_alt))))), inference(spm,[status(thm)],[c_0_191, c_0_164])). 24.37/3.86 thf(c_0_199, negated_conjecture, (((b)=(c))|((a)=(c))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192, c_0_193]), c_0_170])). 24.37/3.86 thf(c_0_200, plain, ![X10:arrow_475358991le_alt, X16:arrow_475358991le_alt, X17:list_A2115238852le_alt]:(~((distin236324274le_alt @ (esk86_0 @ X10 @ (rev_Ar1106406943le_alt @ (esk86_0 @ X16 @ (esk86_0 @ X10 @ X17))))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194, c_0_161]), c_0_167])). 24.37/3.86 thf(c_0_201, plain, ![X16:arrow_475358991le_alt, X10:arrow_475358991le_alt]:((~((epred24_1 @ X10 @ X16))|((X16)!=(X10)))), inference(split_conjunct,[status(thm)],[c_0_195])). 24.37/3.86 thf(c_0_202, plain, (epred24_1 @ c @ b), inference(spm,[status(thm)],[c_0_196, c_0_197])). 24.37/3.86 thf(c_0_203, negated_conjecture, ((b)=(c)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198, c_0_199]), c_0_200])). 24.37/3.86 thf(c_0_204, plain, ![X10:arrow_475358991le_alt]:(~((epred24_1 @ X10 @ X10))), inference(er,[status(thm)],[c_0_201])). 24.37/3.86 thf(c_0_205, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_202, c_0_203]), c_0_204]), ['proof']). 24.37/3.86 # SZS output end CNFRefutation 24.37/3.86 # Parsed axioms : 1031 24.37/3.86 # Removed by relevancy pruning/SinE : 798 24.37/3.86 # Initial clauses : 443 24.37/3.86 # Removed in clause preprocessing : 13 24.37/3.86 # Initial clauses in saturation : 430 24.37/3.86 # Processed clauses : 11792 24.37/3.86 # ...of these trivial : 355 24.37/3.86 # ...subsumed : 7660 24.37/3.86 # ...remaining for further processing : 3777 24.37/3.86 # Other redundant clauses eliminated : 5658 24.37/3.86 # Clauses deleted for lack of memory : 0 24.37/3.86 # Backward-subsumed : 127 24.37/3.86 # Backward-rewritten : 679 24.37/3.86 # Generated clauses : 61045 24.37/3.86 # ...of the previous two non-redundant : 52308 24.37/3.86 # ...aggressively subsumed : 0 24.37/3.86 # Contextual simplify-reflections : 43 24.37/3.86 # Paramodulations : 51630 24.37/3.86 # Factorizations : 12 24.37/3.86 # NegExts : 590 24.37/3.86 # Equation resolutions : 5704 24.37/3.86 # Total rewrite steps : 23126 24.37/3.86 # Propositional unsat checks : 0 24.37/3.86 # Propositional check models : 0 24.37/3.86 # Propositional check unsatisfiable : 0 24.37/3.86 # Propositional clauses : 0 24.37/3.86 # Propositional clauses after purity: 0 24.37/3.86 # Propositional unsat core size : 0 24.37/3.86 # Propositional preprocessing time : 0.000 24.37/3.86 # Propositional encoding time : 0.000 24.37/3.86 # Propositional solver time : 0.000 24.37/3.86 # Success case prop preproc time : 0.000 24.37/3.86 # Success case prop encoding time : 0.000 24.37/3.86 # Success case prop solver time : 0.000 24.37/3.86 # Current number of processed clauses : 2828 24.37/3.86 # Positive orientable unit clauses : 415 24.37/3.86 # Positive unorientable unit clauses: 16 24.37/3.86 # Negative unit clauses : 448 24.37/3.86 # Non-unit-clauses : 1949 24.37/3.86 # Current number of unprocessed clauses: 40144 24.37/3.86 # ...number of literals in the above : 117585 24.37/3.86 # Current number of archived formulas : 0 24.37/3.86 # Current number of archived clauses : 893 24.37/3.86 # Clause-clause subsumption calls (NU) : 1152863 24.37/3.86 # Rec. Clause-clause subsumption calls : 436820 24.37/3.86 # Non-unit clause-clause subsumptions : 4373 24.37/3.86 # Unit Clause-clause subsumption calls : 120145 24.37/3.86 # Rewrite failures with RHS unbound : 4231 24.37/3.86 # BW rewrite match attempts : 1305 24.37/3.86 # BW rewrite match successes : 190 24.37/3.86 # Condensation attempts : 11792 24.37/3.86 # Condensation successes : 4 24.37/3.86 # Termbank termtop insertions : 1092870 24.37/3.86 24.37/3.86 # ------------------------------------------------- 24.37/3.86 # User time : 2.996 s 24.37/3.86 # System time : 0.054 s 24.37/3.86 # Total time : 3.050 s 24.37/3.86 # Maximum resident set size: 6144 pages 25.01/3.89 25.01/3.89 # ------------------------------------------------- 25.01/3.89 # User time : 14.944 s 25.01/3.89 # System time : 0.319 s 25.01/3.89 # Total time : 15.262 s 25.01/3.89 # Maximum resident set size: 4228 pages 25.01/3.89 % E---3.1 exiting 25.01/3.89 EOF