0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.32 % Computer : n017.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 09:28:04 EDT 2025 0.12/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.60 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=240 /export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p 17.52/2.85 # Version: 3.0.0-ho 17.52/2.85 # Preprocessing class: HMLMSMSMSSLNHSA. 17.52/2.85 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 17.52/2.85 # Starting sh2lt with 1200s (5) cores 17.52/2.85 # Starting new_ho_6 with 240s (1) cores 17.52/2.85 # Starting almost_fo_2 with 240s (1) cores 17.52/2.85 # Starting sh5l with 240s (1) cores 17.52/2.85 # sh2lt with pid 26001 completed with status 0 17.52/2.85 # Result found by sh2lt 17.52/2.85 # Preprocessing class: HMLMSMSMSSLNHSA. 17.52/2.85 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 17.52/2.85 # Starting sh2lt with 1200s (5) cores 17.52/2.85 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 17.52/2.85 # Search class: HGHSM-FSLM32-DHSFFSBN 17.52/2.85 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 17.52/2.85 # Starting full_lambda_3 with 553s (1) cores 17.52/2.85 # Starting sh2lt with 121s (1) cores 17.52/2.85 # Starting pre_casc_4 with 163s (1) cores 17.52/2.85 # Starting lpo5_fix with 109s (1) cores 17.52/2.85 # Starting new_bool_12 with 109s (1) cores 17.52/2.85 # sh2lt with pid 26008 completed with status 0 17.52/2.85 # Result found by sh2lt 17.52/2.85 # Preprocessing class: HMLMSMSMSSLNHSA. 17.52/2.85 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 17.52/2.85 # Starting sh2lt with 1200s (5) cores 17.52/2.85 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 17.52/2.85 # Search class: HGHSM-FSLM32-DHSFFSBN 17.52/2.85 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 17.52/2.85 # Starting full_lambda_3 with 553s (1) cores 17.52/2.85 # Starting sh2lt with 121s (1) cores 17.52/2.85 # Preprocessing time : 0.010 s 17.52/2.85 # Presaturation interreduction done 17.52/2.85 17.52/2.85 # Proof found! 17.52/2.85 # SZS status Theorem 17.52/2.85 # SZS output start CNFRefutation 17.52/2.85 thf(decl_sort1, type, produc1501160679le_alt: $tType). 17.52/2.85 thf(decl_sort2, type, arrow_1429601828e_indi: $tType). 17.52/2.85 thf(decl_sort3, type, arrow_475358991le_alt: $tType). 17.52/2.85 thf(decl_sort4, type, list_A2115238852le_alt: $tType). 17.52/2.85 thf(decl_26, type, arrow_823908191le_Lin: (produc1501160679le_alt > $o) > $o). 17.52/2.85 thf(decl_27, type, arrow_734252939e_Prof: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o). 17.52/2.85 thf(decl_29, type, arrow_2098199487_below: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o). 17.52/2.85 thf(decl_61, type, pi_Arr1929480907_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o). 17.52/2.85 thf(decl_77, type, append179082452le_alt: list_A2115238852le_alt > list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_86, type, butlas274947851le_alt: list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_94, type, distin236324274le_alt: list_A2115238852le_alt > $o). 17.52/2.85 thf(decl_102, type, dropWh1316781920le_alt: (arrow_475358991le_alt > $o) > list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_119, type, hd_Arr1965683346le_alt: list_A2115238852le_alt > arrow_475358991le_alt). 17.52/2.85 thf(decl_127, type, insert2120566741le_alt: arrow_475358991le_alt > list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_135, type, last_A1217315288le_alt: list_A2115238852le_alt > arrow_475358991le_alt). 17.52/2.85 thf(decl_155, type, cons_A228743023le_alt: arrow_475358991le_alt > list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_164, type, nil_Ar1286194111le_alt: list_A2115238852le_alt). 17.52/2.85 thf(decl_183, type, rev_Ar1106406943le_alt: list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_187, type, rotate335349260le_alt: list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_192, type, set_Ar577454304le_alt: list_A2115238852le_alt > arrow_475358991le_alt > $o). 17.52/2.85 thf(decl_202, type, takeWh1696291512le_alt: (arrow_475358991le_alt > $o) > list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_210, type, tl_Arr465451158le_alt: list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_226, type, top_to988227749indi_o: arrow_1429601828e_indi > $o). 17.52/2.85 thf(decl_234, type, produc1347929815le_alt: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt). 17.52/2.85 thf(decl_256, type, collec22405327e_indi: (arrow_1429601828e_indi > $o) > arrow_1429601828e_indi > $o). 17.52/2.85 thf(decl_282, type, member526088951_alt_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o). 17.52/2.85 thf(decl_284, type, member377231867_alt_o: (produc1501160679le_alt > $o) > ((produc1501160679le_alt > $o) > $o) > $o). 17.52/2.85 thf(decl_293, type, member84363362le_alt: arrow_475358991le_alt > (arrow_475358991le_alt > $o) > $o). 17.52/2.85 thf(decl_294, type, member2052026769e_indi: arrow_1429601828e_indi > (arrow_1429601828e_indi > $o) > $o). 17.52/2.85 thf(decl_300, type, member214075476le_alt: produc1501160679le_alt > (produc1501160679le_alt > $o) > $o). 17.52/2.85 thf(decl_315, type, p: arrow_1429601828e_indi > produc1501160679le_alt > $o). 17.52/2.85 thf(decl_316, type, a: arrow_475358991le_alt). 17.52/2.85 thf(decl_317, type, b: arrow_475358991le_alt). 17.52/2.85 thf(decl_318, type, c: arrow_475358991le_alt). 17.52/2.85 thf(decl_319, type, esk1_0: arrow_1429601828e_indi). 17.52/2.85 thf(decl_365, type, esk46_1: list_A2115238852le_alt > arrow_475358991le_alt). 17.52/2.85 thf(decl_366, type, esk47_1: list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_371, type, esk52_1: list_A2115238852le_alt > arrow_475358991le_alt). 17.52/2.85 thf(decl_372, type, esk53_1: list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(decl_422, type, epred19_0: arrow_1429601828e_indi > produc1501160679le_alt > $o). 17.52/2.85 thf(decl_424, type, epred21_0: arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o). 17.52/2.85 thf(decl_429, type, epred26_0: arrow_1429601828e_indi > $o). 17.52/2.85 thf(decl_432, type, esk87_0: arrow_475358991le_alt > list_A2115238852le_alt > list_A2115238852le_alt). 17.52/2.85 thf(fact_492_rev__singleton__conv, axiom, ![X1096:list_A2115238852le_alt, X1097:arrow_475358991le_alt]:((((X1096)=(cons_A228743023le_alt @ X1097 @ nil_Ar1286194111le_alt))<=>((rev_Ar1106406943le_alt @ X1096)=(cons_A228743023le_alt @ X1097 @ nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_492_rev__singleton__conv)). 17.52/2.85 thf(fact_495_rev_Osimps_I2_J, axiom, ![X1594:arrow_475358991le_alt, X1595:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X1594 @ X1595))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X1595) @ (cons_A228743023le_alt @ X1594 @ nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_495_rev_Osimps_I2_J)). 17.52/2.85 thf(fact_464_rotate1__hd__tl, axiom, ![X1388:list_A2115238852le_alt]:((((rotate335349260le_alt @ X1388)=(append179082452le_alt @ (tl_Arr465451158le_alt @ X1388) @ (cons_A228743023le_alt @ (hd_Arr1965683346le_alt @ X1388) @ nil_Ar1286194111le_alt)))<=((X1388)!=(nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_464_rotate1__hd__tl)). 17.52/2.85 thf(fact_489_rev_Osimps_I1_J, axiom, ((rev_Ar1106406943le_alt @ nil_Ar1286194111le_alt)=(nil_Ar1286194111le_alt)), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_489_rev_Osimps_I1_J)). 17.52/2.85 thf(fact_37_list_Osimps_I2_J, axiom, ![X560:arrow_475358991le_alt, X561:list_A2115238852le_alt]:(((nil_Ar1286194111le_alt)!=(cons_A228743023le_alt @ X560 @ X561))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_37_list_Osimps_I2_J)). 17.52/2.85 thf(fact_452_tl_Osimps_I2_J, axiom, ![X750:arrow_475358991le_alt, X751:list_A2115238852le_alt]:(((tl_Arr465451158le_alt @ (cons_A228743023le_alt @ X750 @ X751))=(X751))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_452_tl_Osimps_I2_J)). 17.52/2.85 thf(fact_467_hd_Osimps, axiom, ![X1617:arrow_475358991le_alt, X1618:list_A2115238852le_alt]:(((hd_Arr1965683346le_alt @ (cons_A228743023le_alt @ X1617 @ X1618))=(X1617))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_467_hd_Osimps)). 17.52/2.85 thf(fact_556_distinct_Osimps_I2_J, axiom, ![X698:arrow_475358991le_alt, X699:list_A2115238852le_alt]:(((distin236324274le_alt @ (cons_A228743023le_alt @ X698 @ X699))<=>(~((member84363362le_alt @ X698 @ (set_Ar577454304le_alt @ X699)))&(distin236324274le_alt @ X699)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_556_distinct_Osimps_I2_J)). 17.52/2.85 thf(fact_344_UNIV__def, axiom, ((top_to988227749indi_o)=(collec22405327e_indi @ (^[X1722:arrow_1429601828e_indi]:(($true))))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_344_UNIV__def)). 17.52/2.85 thf(fact_273_Collect__def, axiom, ![X1721:arrow_1429601828e_indi > $o]:(((collec22405327e_indi @ X1721)=(X1721))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_273_Collect__def)). 17.52/2.85 thf(fact_406_distinct1__rotate, axiom, ![X211:list_A2115238852le_alt]:(((distin236324274le_alt @ X211)<=>(distin236324274le_alt @ (rotate335349260le_alt @ X211)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_406_distinct1__rotate)). 17.52/2.85 thf(fact_373_append__Cons, axiom, ![X429:arrow_475358991le_alt, X430:list_A2115238852le_alt, X431:list_A2115238852le_alt]:(((append179082452le_alt @ (cons_A228743023le_alt @ X429 @ X430) @ X431)=(cons_A228743023le_alt @ X429 @ (append179082452le_alt @ X430 @ X431)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_373_append__Cons)). 17.52/2.85 thf(fact_78_PiE, axiom, ![X14:arrow_1429601828e_indi, X15:arrow_1429601828e_indi > produc1501160679le_alt > $o, X16:arrow_1429601828e_indi > $o, X17:arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o]:(((member526088951_alt_o @ X15 @ (pi_Arr1929480907_alt_o @ X16 @ X17))=>(~((member377231867_alt_o @ (X15 @ X14) @ (X17 @ X14)))=>~((member2052026769e_indi @ X14 @ X16))))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_78_PiE)). 17.52/2.85 thf(fact_289_Prof__def, axiom, ((arrow_734252939e_Prof)=(pi_Arr1929480907_alt_o @ top_to988227749indi_o @ (^[X408:arrow_1429601828e_indi]:(arrow_823908191le_Lin)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_289_Prof__def)). 17.52/2.85 thf(fact_316_UNIV__I, axiom, ![X406:arrow_1429601828e_indi]:((member2052026769e_indi @ X406 @ top_to988227749indi_o)), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_316_UNIV__I)). 17.52/2.85 thf(fact_80_neq__Nil__conv, axiom, ![X715:list_A2115238852le_alt]:((((X715)!=(nil_Ar1286194111le_alt))<=>?[X716:arrow_475358991le_alt, X312:list_A2115238852le_alt]:(((X715)=(cons_A228743023le_alt @ X716 @ X312))))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_80_neq__Nil__conv)). 17.52/2.85 thf(fact_491_distinct__rev, axiom, ![X1842:list_A2115238852le_alt]:(((distin236324274le_alt @ (rev_Ar1106406943le_alt @ X1842))<=>(distin236324274le_alt @ X1842))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_491_distinct__rev)). 17.52/2.85 thf(fact_589_hd__in__set, axiom, ![X316:list_A2115238852le_alt]:(((member84363362le_alt @ (hd_Arr1965683346le_alt @ X316) @ (set_Ar577454304le_alt @ X316))<=((X316)!=(nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_589_hd__in__set)). 17.52/2.85 thf(fact_479_hd__rev, axiom, ![X1908:list_A2115238852le_alt]:((((hd_Arr1965683346le_alt @ (rev_Ar1106406943le_alt @ X1908))=(last_A1217315288le_alt @ X1908))<=((X1908)!=(nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_479_hd__rev)). 17.52/2.85 thf(fact_365_snoc__eq__iff__butlast, axiom, ![X422:list_A2115238852le_alt, X423:arrow_475358991le_alt, X424:list_A2115238852le_alt]:((((append179082452le_alt @ X422 @ (cons_A228743023le_alt @ X423 @ nil_Ar1286194111le_alt))=(X424))<=>((((butlas274947851le_alt @ X424)=(X422))&((last_A1217315288le_alt @ X424)=(X423)))&((X424)!=(nil_Ar1286194111le_alt))))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_365_snoc__eq__iff__butlast)). 17.52/2.85 thf(fact_375_append__Nil, axiom, ![X1483:list_A2115238852le_alt]:(((append179082452le_alt @ nil_Ar1286194111le_alt @ X1483)=(X1483))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_375_append__Nil)). 17.52/2.85 thf(fact_12_in__below, axiom, ![X18:arrow_475358991le_alt, X19:arrow_475358991le_alt, X20:produc1501160679le_alt > $o, X688:arrow_475358991le_alt, X689:arrow_475358991le_alt]:((((((((member214075476le_alt @ (produc1347929815le_alt @ X18 @ X689) @ X20)<=((X19)=(X688)))&(((X19)!=(X688))=>((((member214075476le_alt @ (produc1347929815le_alt @ X689 @ X19) @ X20)|((X19)=(X689)))<=((X18)=(X688)))&((member214075476le_alt @ (produc1347929815le_alt @ X18 @ X19) @ X20)<=((X18)!=(X688))))))&((X18)!=(X19)))<=>(member214075476le_alt @ (produc1347929815le_alt @ X18 @ X19) @ (arrow_2098199487_below @ X20 @ X688 @ X689)))<=(member377231867_alt_o @ X20 @ arrow_823908191le_Lin))<=((X688)!=(X689)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_12_in__below)). 17.52/2.85 thf(conj_0, conjecture, ![X554:arrow_1429601828e_indi]:(((member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ X554) @ c @ b))<=>(member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ X554)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', conj_0)). 17.52/2.85 thf(fact_41_list_Oinject, axiom, ![X1121:arrow_475358991le_alt, X1122:list_A2115238852le_alt, X1123:arrow_475358991le_alt, X1124:list_A2115238852le_alt]:((((cons_A228743023le_alt @ X1121 @ X1122)=(cons_A228743023le_alt @ X1123 @ X1124))<=>(((X1121)=(X1123))&((X1122)=(X1124))))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_41_list_Oinject)). 17.52/2.85 thf(fact_488_Nil__is__rev__conv, axiom, ![X1045:list_A2115238852le_alt]:((((nil_Ar1286194111le_alt)=(rev_Ar1106406943le_alt @ X1045))<=>((X1045)=(nil_Ar1286194111le_alt)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_488_Nil__is__rev__conv)). 17.52/2.85 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/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_4_dist)). 17.52/2.85 thf(fact_394_last__snoc, axiom, ![X713:list_A2115238852le_alt, X714:arrow_475358991le_alt]:(((last_A1217315288le_alt @ (append179082452le_alt @ X713 @ (cons_A228743023le_alt @ X714 @ nil_Ar1286194111le_alt)))=(X714))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_394_last__snoc)). 17.52/2.85 thf(fact_613_not__in__set__insert, axiom, ![X70:arrow_475358991le_alt, X71:list_A2115238852le_alt]:((((insert2120566741le_alt @ X70 @ X71)=(cons_A228743023le_alt @ X70 @ X71))<=~((member84363362le_alt @ X70 @ (set_Ar577454304le_alt @ X71))))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_613_not__in__set__insert)). 17.52/2.85 thf(fact_262_insert__Nil, axiom, ![X1511:arrow_475358991le_alt]:(((insert2120566741le_alt @ X1511 @ nil_Ar1286194111le_alt)=(cons_A228743023le_alt @ X1511 @ nil_Ar1286194111le_alt))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_262_insert__Nil)). 17.52/2.85 thf(fact_523_set__takeWhileD, axiom, ![X76:arrow_475358991le_alt, X77:arrow_475358991le_alt > $o, X78:list_A2115238852le_alt]:((((X77 @ X76)&(member84363362le_alt @ X76 @ (set_Ar577454304le_alt @ X78)))<=(member84363362le_alt @ X76 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X77 @ X78))))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_523_set__takeWhileD)). 17.52/2.85 thf(fact_79_list_Oexhaust, axiom, ![X1669:list_A2115238852le_alt]:((((X1669)!=(nil_Ar1286194111le_alt))=>~(![X222:arrow_475358991le_alt, X1670:list_A2115238852le_alt]:(((X1669)!=(cons_A228743023le_alt @ X222 @ X1670)))))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_79_list_Oexhaust)). 17.52/2.85 thf(fact_0__096P_A_058_AProf_096, axiom, (member526088951_alt_o @ p @ arrow_734252939e_Prof), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_0__096P_A_058_AProf_096)). 17.52/2.85 thf(fact_268_mem__def, axiom, ![X98:produc1501160679le_alt, X99:produc1501160679le_alt > $o]:(((member214075476le_alt @ X98 @ X99)<=>(X99 @ X98))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_268_mem__def)). 17.52/2.85 thf(fact_486_rev__append, axiom, ![X1837:list_A2115238852le_alt, X1838:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (append179082452le_alt @ X1837 @ X1838))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X1838) @ (rev_Ar1106406943le_alt @ X1837)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_486_rev__append)). 17.52/2.85 thf(fact_425_dropWhile__eq__Cons__conv, axiom, ![X1437:arrow_475358991le_alt > $o, X1438:list_A2115238852le_alt, X1439:arrow_475358991le_alt, X1440:list_A2115238852le_alt]:(((((X1438)=(append179082452le_alt @ (takeWh1696291512le_alt @ X1437 @ X1438) @ (cons_A228743023le_alt @ X1439 @ X1440)))&~((X1437 @ X1439)))<=>((dropWh1316781920le_alt @ X1437 @ X1438)=(cons_A228743023le_alt @ X1439 @ X1440)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_425_dropWhile__eq__Cons__conv)). 17.52/2.85 thf(fact_263_distinct__insert, axiom, ![X6:arrow_475358991le_alt, X7:list_A2115238852le_alt]:(((distin236324274le_alt @ X7)=>(distin236324274le_alt @ (insert2120566741le_alt @ X6 @ X7)))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_263_distinct__insert)). 17.52/2.85 thf(fact_36_distinct_Osimps_I1_J, axiom, (distin236324274le_alt @ nil_Ar1286194111le_alt), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_36_distinct_Osimps_I1_J)). 17.52/2.85 thf(fact_433_takeWhile__dropWhile__id, axiom, ![X663:arrow_475358991le_alt > $o, X664:list_A2115238852le_alt]:(((append179082452le_alt @ (takeWh1696291512le_alt @ X663 @ X664) @ (dropWh1316781920le_alt @ X663 @ X664))=(X664))), file('/export/starexec/sandbox2/tmp/tmp.fawYCFIbi4/E---3.1_25923.p', fact_433_takeWhile__dropWhile__id)). 17.52/2.85 thf(c_0_38, plain, ![X3124:list_A2115238852le_alt, X3125:arrow_475358991le_alt]:(((((X3124)!=(cons_A228743023le_alt @ X3125 @ nil_Ar1286194111le_alt))|((rev_Ar1106406943le_alt @ X3124)=(cons_A228743023le_alt @ X3125 @ nil_Ar1286194111le_alt)))&(((rev_Ar1106406943le_alt @ X3124)!=(cons_A228743023le_alt @ X3125 @ nil_Ar1286194111le_alt))|((X3124)=(cons_A228743023le_alt @ X3125 @ nil_Ar1286194111le_alt))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_492_rev__singleton__conv])])])). 17.52/2.85 thf(c_0_39, plain, ![X2853:arrow_475358991le_alt, X2854:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X2853 @ X2854))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X2854) @ (cons_A228743023le_alt @ X2853 @ nil_Ar1286194111le_alt)))), inference(variable_rename,[status(thm)],[fact_495_rev_Osimps_I2_J])). 17.52/2.85 thf(c_0_40, plain, ![X3290:list_A2115238852le_alt, X3291:arrow_475358991le_alt]:(((esk87_0 @ X3291 @ X3290)=(append179082452le_alt @ X3290 @ (cons_A228743023le_alt @ X3291 @ nil_Ar1286194111le_alt)))), inference(variable_rename,[status(thm)],[])). 17.52/2.85 thf(c_0_41, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt]:((((rev_Ar1106406943le_alt @ X3)=(cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt))|((X3)!=(cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt)))), inference(split_conjunct,[status(thm)],[c_0_38])). 17.52/2.85 thf(c_0_42, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt]:(((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X4 @ X3))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X3) @ (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt)))), inference(split_conjunct,[status(thm)],[c_0_39])). 17.52/2.85 thf(c_0_43, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt]:(((esk87_0 @ X4 @ X3)=(append179082452le_alt @ X3 @ (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt)))), inference(split_conjunct,[status(thm)],[c_0_40])). 17.52/2.85 thf(c_0_44, plain, ![X1388:list_A2115238852le_alt]:((((X1388)!=(nil_Ar1286194111le_alt))=>((rotate335349260le_alt @ X1388)=(append179082452le_alt @ (tl_Arr465451158le_alt @ X1388) @ (cons_A228743023le_alt @ (hd_Arr1965683346le_alt @ X1388) @ nil_Ar1286194111le_alt))))), inference(fof_simplification,[status(thm)],[fact_464_rotate1__hd__tl])). 17.52/2.85 thf(c_0_45, plain, ![X4:arrow_475358991le_alt]:(((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt))=(cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt))), inference(er,[status(thm)],[c_0_41])). 17.52/2.85 thf(c_0_46, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X4 @ X3))=(esk87_0 @ X4 @ (rev_Ar1106406943le_alt @ X3)))), inference(rw,[status(thm)],[c_0_42, c_0_43])). 17.52/2.85 thf(c_0_47, plain, ((rev_Ar1106406943le_alt @ nil_Ar1286194111le_alt)=(nil_Ar1286194111le_alt)), inference(split_conjunct,[status(thm)],[fact_489_rev_Osimps_I1_J])). 17.52/2.85 thf(c_0_48, plain, ![X3143:list_A2115238852le_alt]:((((X3143)=(nil_Ar1286194111le_alt))|((rotate335349260le_alt @ X3143)=(append179082452le_alt @ (tl_Arr465451158le_alt @ X3143) @ (cons_A228743023le_alt @ (hd_Arr1965683346le_alt @ X3143) @ nil_Ar1286194111le_alt))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])). 17.52/2.85 thf(c_0_49, plain, ![X4:arrow_475358991le_alt]:(((cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt)=(esk87_0 @ X4 @ nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46]), c_0_47])). 17.52/2.85 thf(c_0_50, plain, ![X560:arrow_475358991le_alt, X561:list_A2115238852le_alt]:(((nil_Ar1286194111le_alt)!=(cons_A228743023le_alt @ X560 @ X561))), inference(fof_simplification,[status(thm)],[fact_37_list_Osimps_I2_J])). 17.52/2.85 thf(c_0_51, plain, ![X3:list_A2115238852le_alt]:((((X3)=(nil_Ar1286194111le_alt))|((rotate335349260le_alt @ X3)=(append179082452le_alt @ (tl_Arr465451158le_alt @ X3) @ (cons_A228743023le_alt @ (hd_Arr1965683346le_alt @ X3) @ nil_Ar1286194111le_alt))))), inference(split_conjunct,[status(thm)],[c_0_48])). 17.52/2.85 thf(c_0_52, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((append179082452le_alt @ X3 @ (esk87_0 @ X4 @ nil_Ar1286194111le_alt))=(esk87_0 @ X4 @ X3))), inference(rw,[status(thm)],[c_0_43, c_0_49])). 17.52/2.85 thf(c_0_53, plain, ![X3148:arrow_475358991le_alt, X3149:list_A2115238852le_alt]:(((tl_Arr465451158le_alt @ (cons_A228743023le_alt @ X3148 @ X3149))=(X3149))), inference(variable_rename,[status(thm)],[fact_452_tl_Osimps_I2_J])). 17.52/2.85 thf(c_0_54, plain, ![X3144:arrow_475358991le_alt, X3145:list_A2115238852le_alt]:(((hd_Arr1965683346le_alt @ (cons_A228743023le_alt @ X3144 @ X3145))=(X3144))), inference(variable_rename,[status(thm)],[fact_467_hd_Osimps])). 17.52/2.85 thf(c_0_55, plain, ![X2882:arrow_475358991le_alt, X2883:list_A2115238852le_alt]:(((nil_Ar1286194111le_alt)!=(cons_A228743023le_alt @ X2882 @ X2883))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_50])])). 17.52/2.85 thf(c_0_56, plain, ![X698:arrow_475358991le_alt, X699:list_A2115238852le_alt]:(((distin236324274le_alt @ (cons_A228743023le_alt @ X698 @ X699))<=>(~(member84363362le_alt @ X698 @ (set_Ar577454304le_alt @ X699))&(distin236324274le_alt @ X699)))), inference(fof_simplification,[status(thm)],[fact_556_distinct_Osimps_I2_J])). 17.52/2.85 thf(c_0_57, plain, ((top_to988227749indi_o)=(collec22405327e_indi @ (^[Z0/* 1 */:arrow_1429601828e_indi]:($true)))), inference(fof_simplification,[status(thm)],[fact_344_UNIV__def])). 17.52/2.85 thf(c_0_58, plain, ![X3266:arrow_1429601828e_indi]:(((epred26_0 @ X3266)<=>($true))), introduced(definition)). 17.52/2.85 thf(c_0_59, plain, ![X3176:arrow_1429601828e_indi > $o]:(((collec22405327e_indi @ X3176)=(X3176))), inference(variable_rename,[status(thm)],[fact_273_Collect__def])). 17.52/2.85 thf(c_0_60, plain, ![X3012:list_A2115238852le_alt]:(((~(distin236324274le_alt @ X3012)|(distin236324274le_alt @ (rotate335349260le_alt @ X3012)))&(~(distin236324274le_alt @ (rotate335349260le_alt @ X3012))|(distin236324274le_alt @ X3012)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_406_distinct1__rotate])])])). 17.52/2.85 thf(c_0_61, plain, ![X3:list_A2115238852le_alt]:((((esk87_0 @ (hd_Arr1965683346le_alt @ X3) @ (tl_Arr465451158le_alt @ X3))=(rotate335349260le_alt @ X3))|((X3)=(nil_Ar1286194111le_alt)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_49]), c_0_52])). 17.52/2.85 thf(c_0_62, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((tl_Arr465451158le_alt @ (cons_A228743023le_alt @ X4 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_53])). 17.52/2.85 thf(c_0_63, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt]:(((hd_Arr1965683346le_alt @ (cons_A228743023le_alt @ X4 @ X3))=(X4))), inference(split_conjunct,[status(thm)],[c_0_54])). 17.52/2.85 thf(c_0_64, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((nil_Ar1286194111le_alt)!=(cons_A228743023le_alt @ X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_55])). 17.52/2.85 thf(c_0_65, plain, ![X2884:arrow_475358991le_alt, X2885:list_A2115238852le_alt]:((((~(member84363362le_alt @ X2884 @ (set_Ar577454304le_alt @ X2885))|~(distin236324274le_alt @ (cons_A228743023le_alt @ X2884 @ X2885)))&((distin236324274le_alt @ X2885)|~(distin236324274le_alt @ (cons_A228743023le_alt @ X2884 @ X2885))))&((member84363362le_alt @ X2884 @ (set_Ar577454304le_alt @ X2885))|~(distin236324274le_alt @ X2885)|(distin236324274le_alt @ (cons_A228743023le_alt @ X2884 @ X2885))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])). 17.52/2.85 thf(c_0_66, plain, ![X2773:arrow_475358991le_alt, X2774:list_A2115238852le_alt, X2775:list_A2115238852le_alt]:(((append179082452le_alt @ (cons_A228743023le_alt @ X2773 @ X2774) @ X2775)=(cons_A228743023le_alt @ X2773 @ (append179082452le_alt @ X2774 @ X2775)))), inference(variable_rename,[status(thm)],[fact_373_append__Cons])). 17.52/2.85 thf(c_0_67, plain, ![X14:arrow_1429601828e_indi, X15:arrow_1429601828e_indi > produc1501160679le_alt > $o, X16:arrow_1429601828e_indi > $o, X17:arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o]:(((member526088951_alt_o @ X15 @ (pi_Arr1929480907_alt_o @ X16 @ X17))=>(~(member377231867_alt_o @ (X15 @ X14) @ (X17 @ X14))=>~(member2052026769e_indi @ X14 @ X16)))), inference(fof_simplification,[status(thm)],[fact_78_PiE])). 17.52/2.85 thf(c_0_68, plain, ((arrow_734252939e_Prof)=(pi_Arr1929480907_alt_o @ top_to988227749indi_o @ (^[Z0/* 26 */:arrow_1429601828e_indi]:(arrow_823908191le_Lin)))), inference(fof_simplification,[status(thm)],[fact_289_Prof__def])). 17.52/2.85 thf(c_0_69, plain, ![X3254:arrow_1429601828e_indi]:(((epred21_0 @ X3254)=(arrow_823908191le_Lin))), introduced(definition)). 17.52/2.85 thf(c_0_70, plain, ((top_to988227749indi_o)=(collec22405327e_indi @ epred26_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_57]), c_0_58])). 17.52/2.85 thf(c_0_71, plain, ![X16:arrow_1429601828e_indi > $o]:(((collec22405327e_indi @ X16)=(X16))), inference(split_conjunct,[status(thm)],[c_0_59])). 17.52/2.85 thf(c_0_72, plain, ![X3052:arrow_1429601828e_indi]:((member2052026769e_indi @ X3052 @ top_to988227749indi_o)), inference(variable_rename,[status(thm)],[fact_316_UNIV__I])). 17.52/2.85 thf(c_0_73, plain, ![X715:list_A2115238852le_alt]:((((X715)!=(nil_Ar1286194111le_alt))<=>?[X716:arrow_475358991le_alt, X312:list_A2115238852le_alt]:(((X715)=(cons_A228743023le_alt @ X716 @ X312))))), inference(fof_simplification,[status(thm)],[fact_80_neq__Nil__conv])). 17.52/2.85 thf(c_0_74, plain, ![X3:list_A2115238852le_alt]:(((distin236324274le_alt @ X3)|~((distin236324274le_alt @ (rotate335349260le_alt @ X3))))), inference(split_conjunct,[status(thm)],[c_0_60])). 17.52/2.85 thf(c_0_75, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((rotate335349260le_alt @ (cons_A228743023le_alt @ X4 @ X3))=(esk87_0 @ X4 @ X3))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63]), c_0_64])). 17.52/2.85 thf(c_0_76, plain, ![X3019:list_A2115238852le_alt]:(((~(distin236324274le_alt @ (rev_Ar1106406943le_alt @ X3019))|(distin236324274le_alt @ X3019))&(~(distin236324274le_alt @ X3019)|(distin236324274le_alt @ (rev_Ar1106406943le_alt @ X3019))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_491_distinct__rev])])])). 17.52/2.85 thf(c_0_77, plain, ![X316:list_A2115238852le_alt]:((((X316)!=(nil_Ar1286194111le_alt))=>(member84363362le_alt @ (hd_Arr1965683346le_alt @ X316) @ (set_Ar577454304le_alt @ X316)))), inference(fof_simplification,[status(thm)],[fact_589_hd__in__set])). 17.52/2.85 thf(c_0_78, plain, ![X1908:list_A2115238852le_alt]:((((X1908)!=(nil_Ar1286194111le_alt))=>((hd_Arr1965683346le_alt @ (rev_Ar1106406943le_alt @ X1908))=(last_A1217315288le_alt @ X1908)))), inference(fof_simplification,[status(thm)],[fact_479_hd__rev])). 17.52/2.85 thf(c_0_79, plain, ![X422:list_A2115238852le_alt, X423:arrow_475358991le_alt, X424:list_A2115238852le_alt]:((((append179082452le_alt @ X422 @ (cons_A228743023le_alt @ X423 @ nil_Ar1286194111le_alt))=(X424))<=>((((butlas274947851le_alt @ X424)=(X422))&((last_A1217315288le_alt @ X424)=(X423)))&((X424)!=(nil_Ar1286194111le_alt))))), inference(fof_simplification,[status(thm)],[fact_365_snoc__eq__iff__butlast])). 17.52/2.85 thf(c_0_80, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:((~((member84363362le_alt @ X4 @ (set_Ar577454304le_alt @ X3)))|~((distin236324274le_alt @ (cons_A228743023le_alt @ X4 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_65])). 17.52/2.85 thf(c_0_81, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt, X5:list_A2115238852le_alt]:(((append179082452le_alt @ (cons_A228743023le_alt @ X4 @ X3) @ X5)=(cons_A228743023le_alt @ X4 @ (append179082452le_alt @ X3 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_66])). 17.52/2.85 thf(c_0_82, plain, ![X2838:list_A2115238852le_alt]:(((append179082452le_alt @ nil_Ar1286194111le_alt @ X2838)=(X2838))), inference(variable_rename,[status(thm)],[fact_375_append__Nil])). 17.52/2.85 thf(c_0_83, plain, ![X18:arrow_475358991le_alt, X19:arrow_475358991le_alt, X20:produc1501160679le_alt > $o, X688:arrow_475358991le_alt, X689:arrow_475358991le_alt]:((((X688)!=(X689))=>((member377231867_alt_o @ X20 @ arrow_823908191le_Lin)=>((((((X19)=(X688))=>(member214075476le_alt @ (produc1347929815le_alt @ X18 @ X689) @ X20))&(((X19)!=(X688))=>((((X18)=(X688))=>((member214075476le_alt @ (produc1347929815le_alt @ X689 @ X19) @ X20)|((X19)=(X689))))&(((X18)!=(X688))=>(member214075476le_alt @ (produc1347929815le_alt @ X18 @ X19) @ X20)))))&((X18)!=(X19)))<=>(member214075476le_alt @ (produc1347929815le_alt @ X18 @ X19) @ (arrow_2098199487_below @ X20 @ X688 @ X689)))))), inference(fof_simplification,[status(thm)],[fact_12_in__below])). 17.52/2.85 thf(c_0_84, plain, ![X3021:arrow_1429601828e_indi, X3022:arrow_1429601828e_indi > produc1501160679le_alt > $o, X3023:arrow_1429601828e_indi > $o, X3024:arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o]:((~(member526088951_alt_o @ X3022 @ (pi_Arr1929480907_alt_o @ X3023 @ X3024))|((member377231867_alt_o @ (X3022 @ X3021) @ (X3024 @ X3021))|~(member2052026769e_indi @ X3021 @ X3023)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])). 17.52/2.85 thf(c_0_85, 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_68]), c_0_69])). 17.52/2.85 thf(c_0_86, plain, ((top_to988227749indi_o)=(epred26_0)), inference(rw,[status(thm)],[c_0_70, c_0_71])). 17.52/2.85 thf(c_0_87, plain, ![X3305:arrow_1429601828e_indi]:(((epred21_0 @ X3305)=(arrow_823908191le_Lin))), inference(variable_rename,[status(thm)],[])). 17.52/2.85 thf(c_0_88, plain, ![X14:arrow_1429601828e_indi]:((member2052026769e_indi @ X14 @ top_to988227749indi_o)), inference(split_conjunct,[status(thm)],[c_0_72])). 17.52/2.85 thf(c_0_89, negated_conjecture, ~(![X554:arrow_1429601828e_indi]:(((member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ X554) @ c @ b))<=>(member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ X554))))), inference(assume_negation,[status(cth)],[conj_0])). 17.52/2.85 thf(c_0_90, plain, ![X2902:arrow_475358991le_alt, X2903:list_A2115238852le_alt, X2904:arrow_475358991le_alt, X2905:list_A2115238852le_alt]:((((((X2902)=(X2904))|((cons_A228743023le_alt @ X2902 @ X2903)!=(cons_A228743023le_alt @ X2904 @ X2905)))&(((X2903)=(X2905))|((cons_A228743023le_alt @ X2902 @ X2903)!=(cons_A228743023le_alt @ X2904 @ X2905))))&(((X2902)!=(X2904))|((X2903)!=(X2905))|((cons_A228743023le_alt @ X2902 @ X2903)=(cons_A228743023le_alt @ X2904 @ X2905))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_41_list_Oinject])])])])). 17.52/2.85 thf(c_0_91, plain, ![X2886:list_A2115238852le_alt, X2889:list_A2115238852le_alt, X2890:arrow_475358991le_alt, X2891:list_A2115238852le_alt]:(((((X2886)=(nil_Ar1286194111le_alt))|((X2886)=(cons_A228743023le_alt @ (esk46_1 @ X2886) @ (esk47_1 @ X2886))))&(((X2889)!=(cons_A228743023le_alt @ X2890 @ X2891))|((X2889)!=(nil_Ar1286194111le_alt))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])])])])). 17.52/2.85 thf(c_0_92, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((distin236324274le_alt @ (cons_A228743023le_alt @ X4 @ X3))|~((distin236324274le_alt @ (esk87_0 @ X4 @ X3))))), inference(spm,[status(thm)],[c_0_74, c_0_75])). 17.52/2.85 thf(c_0_93, plain, ![X3:list_A2115238852le_alt]:(((distin236324274le_alt @ (rev_Ar1106406943le_alt @ X3))|~((distin236324274le_alt @ X3)))), inference(split_conjunct,[status(thm)],[c_0_76])). 17.52/2.85 thf(c_0_94, plain, ![X2986:list_A2115238852le_alt]:((((X2986)=(nil_Ar1286194111le_alt))|(member84363362le_alt @ (hd_Arr1965683346le_alt @ X2986) @ (set_Ar577454304le_alt @ X2986)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])). 17.52/2.85 thf(c_0_95, plain, ![X3112:list_A2115238852le_alt]:((((X3112)=(nil_Ar1286194111le_alt))|((hd_Arr1965683346le_alt @ (rev_Ar1106406943le_alt @ X3112))=(last_A1217315288le_alt @ X3112)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])). 17.52/2.85 thf(c_0_96, plain, ![X3123:list_A2115238852le_alt]:(((((nil_Ar1286194111le_alt)!=(rev_Ar1106406943le_alt @ X3123))|((X3123)=(nil_Ar1286194111le_alt)))&(((X3123)!=(nil_Ar1286194111le_alt))|((nil_Ar1286194111le_alt)=(rev_Ar1106406943le_alt @ X3123))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_488_Nil__is__rev__conv])])])). 17.52/2.85 thf(c_0_97, plain, ![X2770:list_A2115238852le_alt, X2771:arrow_475358991le_alt, X2772:list_A2115238852le_alt]:(((((((butlas274947851le_alt @ X2772)=(X2770))|((append179082452le_alt @ X2770 @ (cons_A228743023le_alt @ X2771 @ nil_Ar1286194111le_alt))!=(X2772)))&(((last_A1217315288le_alt @ X2772)=(X2771))|((append179082452le_alt @ X2770 @ (cons_A228743023le_alt @ X2771 @ nil_Ar1286194111le_alt))!=(X2772))))&(((X2772)!=(nil_Ar1286194111le_alt))|((append179082452le_alt @ X2770 @ (cons_A228743023le_alt @ X2771 @ nil_Ar1286194111le_alt))!=(X2772))))&(((butlas274947851le_alt @ X2772)!=(X2770))|((last_A1217315288le_alt @ X2772)!=(X2771))|((X2772)=(nil_Ar1286194111le_alt))|((append179082452le_alt @ X2770 @ (cons_A228743023le_alt @ X2771 @ nil_Ar1286194111le_alt))=(X2772))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])])). 17.52/2.85 thf(c_0_98, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt, X5:list_A2115238852le_alt]:((~((distin236324274le_alt @ (append179082452le_alt @ (cons_A228743023le_alt @ X4 @ X3) @ X5)))|~((member84363362le_alt @ X4 @ (set_Ar577454304le_alt @ (append179082452le_alt @ X3 @ X5)))))), inference(spm,[status(thm)],[c_0_80, c_0_81])). 17.52/2.85 thf(c_0_99, plain, ![X3:list_A2115238852le_alt]:(((append179082452le_alt @ nil_Ar1286194111le_alt @ X3)=(X3))), inference(split_conjunct,[status(thm)],[c_0_82])). 17.52/2.85 thf(c_0_100, plain, ![X3:list_A2115238852le_alt]:(((distin236324274le_alt @ (rotate335349260le_alt @ X3))|~((distin236324274le_alt @ X3)))), inference(split_conjunct,[status(thm)],[c_0_60])). 17.52/2.85 thf(c_0_101, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((distin236324274le_alt @ X3)|~((distin236324274le_alt @ (cons_A228743023le_alt @ X4 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_65])). 17.52/2.85 thf(c_0_102, 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])). 17.52/2.85 thf(c_0_103, plain, ![X2701:arrow_475358991le_alt, X2702:arrow_475358991le_alt, X2703:produc1501160679le_alt > $o, X2704:arrow_475358991le_alt, X2705:arrow_475358991le_alt]:(((((((X2702)!=(X2704))|((X2702)=(X2704))|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&(((((X2701)!=(X2704))|((X2701)=(X2704))|((X2702)=(X2704))|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&(~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ X2703)|((X2701)=(X2704))|((X2702)=(X2704))|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705))))&(((((X2701)!=(X2704))|~(member214075476le_alt @ (produc1347929815le_alt @ X2705 @ X2702) @ X2703)|((X2702)=(X2704))|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&(~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ X2703)|~(member214075476le_alt @ (produc1347929815le_alt @ X2705 @ X2702) @ X2703)|((X2702)=(X2704))|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705))))&((((X2701)!=(X2704))|((X2702)!=(X2705))|((X2702)=(X2704))|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&(~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ X2703)|((X2702)!=(X2705))|((X2702)=(X2704))|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))))))&((((X2702)!=(X2704))|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2705) @ X2703)|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&(((((X2701)!=(X2704))|((X2701)=(X2704))|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2705) @ X2703)|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&(~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ X2703)|((X2701)=(X2704))|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2705) @ X2703)|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705))))&(((((X2701)!=(X2704))|~(member214075476le_alt @ (produc1347929815le_alt @ X2705 @ X2702) @ X2703)|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2705) @ X2703)|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&(~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ X2703)|~(member214075476le_alt @ (produc1347929815le_alt @ X2705 @ X2702) @ X2703)|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2705) @ X2703)|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705))))&((((X2701)!=(X2704))|((X2702)!=(X2705))|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2705) @ X2703)|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&(~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ X2703)|((X2702)!=(X2705))|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2705) @ X2703)|((X2701)=(X2702))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705))))))))&(((((X2702)!=(X2704))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2705) @ X2703)|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&((((X2701)!=(X2704))|((member214075476le_alt @ (produc1347929815le_alt @ X2705 @ X2702) @ X2703)|((X2702)=(X2705)))|((X2702)=(X2704))|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))&(((X2701)=(X2704))|(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ X2703)|((X2702)=(X2704))|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))))&(((X2701)!=(X2702))|~(member214075476le_alt @ (produc1347929815le_alt @ X2701 @ X2702) @ (arrow_2098199487_below @ X2703 @ X2704 @ X2705))|~(member377231867_alt_o @ X2703 @ arrow_823908191le_Lin)|((X2704)=(X2705)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])])])). 17.52/2.85 thf(c_0_104, plain, ![X11:arrow_1429601828e_indi > produc1501160679le_alt > $o, X14:arrow_1429601828e_indi, X17:arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o, X16:arrow_1429601828e_indi > $o]:(((member377231867_alt_o @ (X11 @ X14) @ (X17 @ X14))|~((member526088951_alt_o @ X11 @ (pi_Arr1929480907_alt_o @ X16 @ X17)))|~((member2052026769e_indi @ X14 @ X16)))), inference(split_conjunct,[status(thm)],[c_0_84])). 17.52/2.85 thf(c_0_105, plain, ((pi_Arr1929480907_alt_o @ epred26_0 @ epred21_0)=(arrow_734252939e_Prof)), inference(rw,[status(thm)],[c_0_85, c_0_86])). 17.52/2.85 thf(c_0_106, plain, ![X14:arrow_1429601828e_indi]:(((epred21_0 @ X14)=(arrow_823908191le_Lin))), inference(split_conjunct,[status(thm)],[c_0_87])). 17.52/2.85 thf(c_0_107, plain, ![X14:arrow_1429601828e_indi]:((member2052026769e_indi @ X14 @ epred26_0)), inference(rw,[status(thm)],[c_0_88, c_0_86])). 17.52/2.85 thf(c_0_108, negated_conjecture, ((~(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))|(member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0)))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])])). 17.52/2.85 thf(c_0_109, plain, ![X3307:arrow_1429601828e_indi]:(((epred19_0 @ X3307)=(arrow_2098199487_below @ (p @ X3307) @ c @ b))), inference(variable_rename,[status(thm)],[])). 17.52/2.85 thf(c_0_110, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt, X6:arrow_475358991le_alt, X5:list_A2115238852le_alt]:((((X4)=(X6))|((cons_A228743023le_alt @ X4 @ X3)!=(cons_A228743023le_alt @ X6 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_90])). 17.52/2.85 thf(c_0_111, plain, ![X3:list_A2115238852le_alt]:((((X3)=(nil_Ar1286194111le_alt))|((X3)=(cons_A228743023le_alt @ (esk46_1 @ X3) @ (esk47_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_91])). 17.52/2.85 thf(c_0_112, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:((~((member84363362le_alt @ X4 @ (set_Ar577454304le_alt @ X3)))|~((distin236324274le_alt @ (esk87_0 @ X4 @ X3))))), inference(spm,[status(thm)],[c_0_80, c_0_92])). 17.52/2.85 thf(c_0_113, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((distin236324274le_alt @ (esk87_0 @ X4 @ (rev_Ar1106406943le_alt @ X3)))|~((distin236324274le_alt @ (cons_A228743023le_alt @ X4 @ X3))))), inference(spm,[status(thm)],[c_0_93, c_0_46])). 17.52/2.85 thf(c_0_114, plain, ![X3:list_A2115238852le_alt]:((((X3)=(nil_Ar1286194111le_alt))|(member84363362le_alt @ (hd_Arr1965683346le_alt @ X3) @ (set_Ar577454304le_alt @ X3)))), inference(split_conjunct,[status(thm)],[c_0_94])). 17.52/2.85 thf(c_0_115, plain, ![X3:list_A2115238852le_alt]:((((X3)=(nil_Ar1286194111le_alt))|((hd_Arr1965683346le_alt @ (rev_Ar1106406943le_alt @ X3))=(last_A1217315288le_alt @ X3)))), inference(split_conjunct,[status(thm)],[c_0_95])). 17.52/2.85 thf(c_0_116, plain, ![X3:list_A2115238852le_alt]:((((X3)=(nil_Ar1286194111le_alt))|((nil_Ar1286194111le_alt)!=(rev_Ar1106406943le_alt @ X3)))), inference(split_conjunct,[status(thm)],[c_0_96])). 17.52/2.85 thf(c_0_117, plain, ![X2798:list_A2115238852le_alt, X2799:arrow_475358991le_alt]:(((last_A1217315288le_alt @ (append179082452le_alt @ X2798 @ (cons_A228743023le_alt @ X2799 @ nil_Ar1286194111le_alt)))=(X2799))), inference(variable_rename,[status(thm)],[fact_394_last__snoc])). 17.52/2.85 thf(c_0_118, plain, ![X5:list_A2115238852le_alt, X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:((((X3)!=(nil_Ar1286194111le_alt))|((append179082452le_alt @ X5 @ (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt))!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_97])). 17.52/2.85 thf(c_0_119, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:((~((distin236324274le_alt @ (append179082452le_alt @ (esk87_0 @ X4 @ nil_Ar1286194111le_alt) @ X3)))|~((member84363362le_alt @ X4 @ (set_Ar577454304le_alt @ X3))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_49]), c_0_99])). 17.52/2.85 thf(c_0_120, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((distin236324274le_alt @ (esk87_0 @ X4 @ X3))|~((distin236324274le_alt @ (cons_A228743023le_alt @ X4 @ X3))))), inference(spm,[status(thm)],[c_0_100, c_0_75])). 17.52/2.85 thf(c_0_121, plain, (distin236324274le_alt @ (cons_A228743023le_alt @ b @ (esk87_0 @ c @ nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_49])). 17.52/2.85 thf(c_0_122, plain, ![X70:arrow_475358991le_alt, X71:list_A2115238852le_alt]:((~(member84363362le_alt @ X70 @ (set_Ar577454304le_alt @ X71))=>((insert2120566741le_alt @ X70 @ X71)=(cons_A228743023le_alt @ X70 @ X71)))), inference(fof_simplification,[status(thm)],[fact_613_not__in__set__insert])). 17.52/2.85 thf(c_0_123, plain, ![X3139:arrow_475358991le_alt]:(((insert2120566741le_alt @ X3139 @ nil_Ar1286194111le_alt)=(cons_A228743023le_alt @ X3139 @ nil_Ar1286194111le_alt))), inference(variable_rename,[status(thm)],[fact_262_insert__Nil])). 17.52/2.85 thf(c_0_124, plain, ![X76:arrow_475358991le_alt, X77:arrow_475358991le_alt > $o, X78:list_A2115238852le_alt]:(((member84363362le_alt @ X76 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X77 @ X78)))=>((X77 @ X76)&(member84363362le_alt @ X76 @ (set_Ar577454304le_alt @ X78))))), inference(fof_simplification,[status(thm)],[fact_523_set__takeWhileD])). 17.52/2.85 thf(c_0_125, plain, ![X1669:list_A2115238852le_alt]:((((X1669)!=(nil_Ar1286194111le_alt))=>~(![X222:arrow_475358991le_alt, X1670:list_A2115238852le_alt]:(((X1669)!=(cons_A228743023le_alt @ X222 @ X1670)))))), inference(fof_simplification,[status(thm)],[fact_79_list_Oexhaust])). 17.52/2.85 thf(c_0_126, plain, ![X4:arrow_475358991le_alt, X18:arrow_475358991le_alt, X6:arrow_475358991le_alt, X19:arrow_475358991le_alt, X20:produc1501160679le_alt > $o]:(((member214075476le_alt @ (produc1347929815le_alt @ X18 @ X19) @ X20)|((X6)=(X19))|((X4)!=(X6))|~((member214075476le_alt @ (produc1347929815le_alt @ X18 @ X4) @ (arrow_2098199487_below @ X20 @ X6 @ X19)))|~((member377231867_alt_o @ X20 @ arrow_823908191le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_103])). 17.52/2.85 thf(c_0_127, plain, ![X14:arrow_1429601828e_indi, X11:arrow_1429601828e_indi > produc1501160679le_alt > $o]:(((member377231867_alt_o @ (X11 @ X14) @ arrow_823908191le_Lin)|~((member526088951_alt_o @ X11 @ arrow_734252939e_Prof)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_106]), c_0_107])])). 17.52/2.85 thf(c_0_128, plain, (member526088951_alt_o @ p @ arrow_734252939e_Prof), inference(split_conjunct,[status(thm)],[fact_0__096P_A_058_AProf_096])). 17.52/2.85 thf(c_0_129, plain, ![X2593:produc1501160679le_alt, X2594:produc1501160679le_alt > $o]:(((~(member214075476le_alt @ X2593 @ X2594)|(X2594 @ X2593))&(~(X2594 @ X2593)|(member214075476le_alt @ X2593 @ X2594)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_268_mem__def])])])). 17.52/2.85 thf(c_0_130, negated_conjecture, ((member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ esk1_0) @ c @ b))|(member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_108])). 17.52/2.85 thf(c_0_131, plain, ![X14:arrow_1429601828e_indi]:(((epred19_0 @ X14)=(arrow_2098199487_below @ (p @ X14) @ c @ b))), inference(split_conjunct,[status(thm)],[c_0_109])). 17.52/2.85 thf(c_0_132, plain, ![X2872:list_A2115238852le_alt, X2873:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (append179082452le_alt @ X2872 @ X2873))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X2873) @ (rev_Ar1106406943le_alt @ X2872)))), inference(variable_rename,[status(thm)],[fact_486_rev__append])). 17.52/2.85 thf(c_0_133, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt]:(((esk46_1 @ (cons_A228743023le_alt @ X4 @ X3))=(X4))), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111])]), c_0_64])). 17.52/2.85 thf(c_0_134, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:((~((member84363362le_alt @ X4 @ (set_Ar577454304le_alt @ (rev_Ar1106406943le_alt @ X3))))|~((distin236324274le_alt @ (cons_A228743023le_alt @ X4 @ X3))))), inference(spm,[status(thm)],[c_0_112, c_0_113])). 17.52/2.85 thf(c_0_135, plain, ![X3:list_A2115238852le_alt]:((((X3)=(nil_Ar1286194111le_alt))|(member84363362le_alt @ (last_A1217315288le_alt @ X3) @ (set_Ar577454304le_alt @ (rev_Ar1106406943le_alt @ X3))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_115]), c_0_116])). 17.52/2.85 thf(c_0_136, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt]:(((last_A1217315288le_alt @ (append179082452le_alt @ X3 @ (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt)))=(X4))), inference(split_conjunct,[status(thm)],[c_0_117])). 17.52/2.85 thf(c_0_137, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt]:(((append179082452le_alt @ X3 @ (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt))!=(nil_Ar1286194111le_alt))), inference(er,[status(thm)],[c_0_118])). 17.52/2.85 thf(c_0_138, plain, ![X2829:arrow_475358991le_alt > $o, X2830:list_A2115238852le_alt, X2831:arrow_475358991le_alt, X2832:list_A2115238852le_alt]:(((((X2830)!=(append179082452le_alt @ (takeWh1696291512le_alt @ X2829 @ X2830) @ (cons_A228743023le_alt @ X2831 @ X2832)))|(X2829 @ X2831)|((dropWh1316781920le_alt @ X2829 @ X2830)=(cons_A228743023le_alt @ X2831 @ X2832)))&((((X2830)=(append179082452le_alt @ (takeWh1696291512le_alt @ X2829 @ X2830) @ (cons_A228743023le_alt @ X2831 @ X2832)))|((dropWh1316781920le_alt @ X2829 @ X2830)!=(cons_A228743023le_alt @ X2831 @ X2832)))&(~(X2829 @ X2831)|((dropWh1316781920le_alt @ X2829 @ X2830)!=(cons_A228743023le_alt @ X2831 @ X2832)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_425_dropWhile__eq__Cons__conv])])])])). 17.52/2.85 thf(c_0_139, plain, ![X6:arrow_475358991le_alt, X4:arrow_475358991le_alt]:((~((distin236324274le_alt @ (esk87_0 @ X4 @ (esk87_0 @ X6 @ nil_Ar1286194111le_alt))))|~((member84363362le_alt @ X6 @ (set_Ar577454304le_alt @ (esk87_0 @ X4 @ nil_Ar1286194111le_alt)))))), inference(spm,[status(thm)],[c_0_119, c_0_52])). 17.52/2.85 thf(c_0_140, plain, (distin236324274le_alt @ (esk87_0 @ b @ (esk87_0 @ c @ nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_120, c_0_121])). 17.52/2.85 thf(c_0_141, plain, ![X2976:arrow_475358991le_alt, X2977:list_A2115238852le_alt]:(((member84363362le_alt @ X2976 @ (set_Ar577454304le_alt @ X2977))|((insert2120566741le_alt @ X2976 @ X2977)=(cons_A228743023le_alt @ X2976 @ X2977)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])])). 17.52/2.85 thf(c_0_142, plain, ![X3008:arrow_475358991le_alt, X3009:list_A2115238852le_alt]:((~(distin236324274le_alt @ X3009)|(distin236324274le_alt @ (insert2120566741le_alt @ X3008 @ X3009)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_263_distinct__insert])])])). 17.52/2.85 thf(c_0_143, plain, ![X4:arrow_475358991le_alt]:(((insert2120566741le_alt @ X4 @ nil_Ar1286194111le_alt)=(cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt))), inference(split_conjunct,[status(thm)],[c_0_123])). 17.52/2.85 thf(c_0_144, plain, ![X2978:arrow_475358991le_alt, X2979:arrow_475358991le_alt > $o, X2980:list_A2115238852le_alt]:((((X2979 @ X2978)|~(member84363362le_alt @ X2978 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X2979 @ X2980))))&((member84363362le_alt @ X2978 @ (set_Ar577454304le_alt @ X2980))|~(member84363362le_alt @ X2978 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X2979 @ X2980)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])])])])). 17.52/2.85 thf(c_0_145, plain, ![X2909:list_A2115238852le_alt]:((((X2909)=(nil_Ar1286194111le_alt))|((X2909)=(cons_A228743023le_alt @ (esk52_1 @ X2909) @ (esk53_1 @ X2909))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_125])])])). 17.52/2.85 thf(c_0_146, plain, ![X4:arrow_475358991le_alt, X18:arrow_475358991le_alt, X6:arrow_475358991le_alt, X20:produc1501160679le_alt > $o]:((((X4)=(X6))|(member214075476le_alt @ (produc1347929815le_alt @ X18 @ X6) @ X20)|~((member214075476le_alt @ (produc1347929815le_alt @ X18 @ X4) @ (arrow_2098199487_below @ X20 @ X4 @ X6)))|~((member377231867_alt_o @ X20 @ arrow_823908191le_Lin)))), inference(er,[status(thm)],[c_0_126])). 17.52/2.85 thf(c_0_147, plain, ![X14:arrow_1429601828e_indi]:((member377231867_alt_o @ (p @ X14) @ arrow_823908191le_Lin)), inference(spm,[status(thm)],[c_0_127, c_0_128])). 17.52/2.86 thf(c_0_148, plain, ![X55:produc1501160679le_alt, X20:produc1501160679le_alt > $o]:(((X20 @ X55)|~((member214075476le_alt @ X55 @ X20)))), inference(split_conjunct,[status(thm)],[c_0_129])). 17.52/2.86 thf(c_0_149, 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_130, c_0_131])). 17.52/2.86 thf(c_0_150, plain, ![X5:list_A2115238852le_alt, X3:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (append179082452le_alt @ X3 @ X5))=(append179082452le_alt @ (rev_Ar1106406943le_alt @ X5) @ (rev_Ar1106406943le_alt @ X3)))), inference(split_conjunct,[status(thm)],[c_0_132])). 17.52/2.86 thf(c_0_151, plain, ![X3:list_A2115238852le_alt]:((((esk46_1 @ X3)=(hd_Arr1965683346le_alt @ X3))|((X3)=(nil_Ar1286194111le_alt)))), inference(spm,[status(thm)],[c_0_63, c_0_111])). 17.52/2.86 thf(c_0_152, plain, ![X3:list_A2115238852le_alt, X5:list_A2115238852le_alt, X4:arrow_475358991le_alt]:(((esk46_1 @ (append179082452le_alt @ (cons_A228743023le_alt @ X4 @ X3) @ X5))=(X4))), inference(spm,[status(thm)],[c_0_133, c_0_81])). 17.52/2.86 thf(c_0_153, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt, X5:list_A2115238852le_alt]:(((append179082452le_alt @ (cons_A228743023le_alt @ X4 @ X3) @ X5)!=(nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_64, c_0_81])). 17.52/2.86 thf(c_0_154, plain, ![X3:list_A2115238852le_alt]:((((X3)=(nil_Ar1286194111le_alt))|~((distin236324274le_alt @ (cons_A228743023le_alt @ (last_A1217315288le_alt @ X3) @ X3))))), inference(spm,[status(thm)],[c_0_134, c_0_135])). 17.52/2.86 thf(c_0_155, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt]:(((last_A1217315288le_alt @ (esk87_0 @ X4 @ X3))=(X4))), inference(rw,[status(thm)],[c_0_136, c_0_43])). 17.52/2.86 thf(c_0_156, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((esk87_0 @ X4 @ X3)!=(nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[c_0_137, c_0_43])). 17.52/2.86 thf(c_0_157, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt, X53:arrow_475358991le_alt > $o, X5:list_A2115238852le_alt]:((((X3)=(append179082452le_alt @ (takeWh1696291512le_alt @ X53 @ X3) @ (cons_A228743023le_alt @ X4 @ X5)))|((dropWh1316781920le_alt @ X53 @ X3)!=(cons_A228743023le_alt @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_138])). 17.52/2.86 thf(c_0_158, plain, ~((member84363362le_alt @ c @ (set_Ar577454304le_alt @ (esk87_0 @ b @ nil_Ar1286194111le_alt)))), inference(spm,[status(thm)],[c_0_139, c_0_140])). 17.52/2.86 thf(c_0_159, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((member84363362le_alt @ X4 @ (set_Ar577454304le_alt @ X3))|((insert2120566741le_alt @ X4 @ X3)=(cons_A228743023le_alt @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_141])). 17.52/2.86 thf(c_0_160, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((distin236324274le_alt @ (insert2120566741le_alt @ X4 @ X3))|~((distin236324274le_alt @ X3)))), inference(split_conjunct,[status(thm)],[c_0_142])). 17.52/2.86 thf(c_0_161, plain, ![X4:arrow_475358991le_alt]:(((insert2120566741le_alt @ X4 @ nil_Ar1286194111le_alt)=(esk87_0 @ X4 @ nil_Ar1286194111le_alt))), inference(rw,[status(thm)],[c_0_143, c_0_49])). 17.52/2.86 thf(c_0_162, plain, (distin236324274le_alt @ nil_Ar1286194111le_alt), inference(split_conjunct,[status(thm)],[fact_36_distinct_Osimps_I1_J])). 17.52/2.86 thf(c_0_163, plain, ![X53:arrow_475358991le_alt > $o, X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((X53 @ X4)|~((member84363362le_alt @ X4 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ X53 @ X3)))))), inference(split_conjunct,[status(thm)],[c_0_144])). 17.52/2.86 thf(c_0_164, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:((member84363362le_alt @ X4 @ (set_Ar577454304le_alt @ (cons_A228743023le_alt @ X4 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_63]), c_0_64])). 17.52/2.86 thf(c_0_165, plain, ![X3:list_A2115238852le_alt]:((((X3)=(nil_Ar1286194111le_alt))|((X3)=(cons_A228743023le_alt @ (esk52_1 @ X3) @ (esk53_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_145])). 17.52/2.86 thf(c_0_166, plain, ![X4:arrow_475358991le_alt, X6:arrow_475358991le_alt, X18:arrow_475358991le_alt, X19:arrow_475358991le_alt, X20:produc1501160679le_alt > $o]:((((X18)=(X4))|(member214075476le_alt @ (produc1347929815le_alt @ X18 @ X4) @ (arrow_2098199487_below @ X20 @ X6 @ X19))|((X6)=(X19))|((X4)!=(X6))|~((member214075476le_alt @ (produc1347929815le_alt @ X18 @ X19) @ X20))|~((member377231867_alt_o @ X20 @ arrow_823908191le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_103])). 17.52/2.86 thf(c_0_167, plain, ![X4:arrow_475358991le_alt, X14:arrow_1429601828e_indi]:((((b)=(c))|(member214075476le_alt @ (produc1347929815le_alt @ X4 @ b) @ (p @ X14))|~((member214075476le_alt @ (produc1347929815le_alt @ X4 @ c) @ (epred19_0 @ X14))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_131]), c_0_147])])). 17.52/2.86 thf(c_0_168, 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_148, c_0_149])). 17.52/2.86 thf(c_0_169, plain, ![X20:produc1501160679le_alt > $o, X55:produc1501160679le_alt]:(((member214075476le_alt @ X55 @ X20)|~((X20 @ X55)))), inference(split_conjunct,[status(thm)],[c_0_129])). 17.52/2.86 thf(c_0_170, negated_conjecture, (~((member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (arrow_2098199487_below @ (p @ esk1_0) @ c @ b)))|~((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_108])). 17.52/2.86 thf(c_0_171, plain, ![X5:list_A2115238852le_alt, X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((append179082452le_alt @ (esk87_0 @ X4 @ (rev_Ar1106406943le_alt @ X3)) @ (rev_Ar1106406943le_alt @ X5))=(rev_Ar1106406943le_alt @ (append179082452le_alt @ X5 @ (cons_A228743023le_alt @ X4 @ X3))))), inference(spm,[status(thm)],[c_0_150, c_0_46])). 17.52/2.86 thf(c_0_172, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((append179082452le_alt @ (esk87_0 @ X4 @ nil_Ar1286194111le_alt) @ X3)=(cons_A228743023le_alt @ X4 @ X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_99]), c_0_49])). 17.52/2.86 thf(c_0_173, plain, ![X3:list_A2115238852le_alt, X5:list_A2115238852le_alt, X4:arrow_475358991le_alt]:(((hd_Arr1965683346le_alt @ (append179082452le_alt @ (cons_A228743023le_alt @ X4 @ X3) @ X5))=(X4))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_152]), c_0_153])). 17.52/2.86 thf(c_0_174, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(~((distin236324274le_alt @ (cons_A228743023le_alt @ X4 @ (esk87_0 @ X4 @ X3))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_155]), c_0_156])). 17.52/2.86 thf(c_0_175, plain, ![X3:list_A2115238852le_alt, X53:arrow_475358991le_alt > $o, X4:arrow_475358991le_alt]:((((esk87_0 @ X4 @ (takeWh1696291512le_alt @ X53 @ X3))=(X3))|((dropWh1316781920le_alt @ X53 @ X3)!=(esk87_0 @ X4 @ nil_Ar1286194111le_alt)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_49]), c_0_52])). 17.52/2.86 thf(c_0_176, plain, ((insert2120566741le_alt @ c @ (esk87_0 @ b @ nil_Ar1286194111le_alt))=(cons_A228743023le_alt @ c @ (esk87_0 @ b @ nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_158, c_0_159])). 17.52/2.86 thf(c_0_177, plain, ![X4:arrow_475358991le_alt]:((distin236324274le_alt @ (esk87_0 @ X4 @ nil_Ar1286194111le_alt))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_161]), c_0_162])])). 17.52/2.86 thf(c_0_178, plain, ![X2793:arrow_475358991le_alt > $o, X2794:list_A2115238852le_alt]:(((append179082452le_alt @ (takeWh1696291512le_alt @ X2793 @ X2794) @ (dropWh1316781920le_alt @ X2793 @ X2794))=(X2794))), inference(variable_rename,[status(thm)],[fact_433_takeWhile__dropWhile__id])). 17.52/2.86 thf(c_0_179, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(~((member84363362le_alt @ X4 @ (set_Ar577454304le_alt @ (takeWh1696291512le_alt @ (^[Z0/* 4 */:arrow_475358991le_alt]:(~($true))) @ X3))))), inference(primitive_enumeration,[status(thm)],[c_0_163])). 17.52/2.86 thf(c_0_180, plain, ![X3:list_A2115238852le_alt]:((((X3)=(nil_Ar1286194111le_alt))|(member84363362le_alt @ (esk52_1 @ X3) @ (set_Ar577454304le_alt @ X3)))), inference(spm,[status(thm)],[c_0_164, c_0_165])). 17.52/2.86 thf(c_0_181, plain, ![X4:arrow_475358991le_alt, X6:arrow_475358991le_alt, X18:arrow_475358991le_alt, X20:produc1501160679le_alt > $o]:((((X4)=(X6))|((X4)=(X18))|(member214075476le_alt @ (produc1347929815le_alt @ X18 @ X4) @ (arrow_2098199487_below @ X20 @ X4 @ X6))|~((member214075476le_alt @ (produc1347929815le_alt @ X18 @ X6) @ X20))|~((member377231867_alt_o @ X20 @ arrow_823908191le_Lin)))), inference(er,[status(thm)],[c_0_166])). 17.52/2.86 thf(c_0_182, negated_conjecture, (((b)=(c))|(member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ (p @ esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167, c_0_168]), c_0_169])). 17.52/2.86 thf(c_0_183, 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_170, c_0_131])). 17.52/2.86 thf(c_0_184, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((hd_Arr1965683346le_alt @ (esk87_0 @ X4 @ (rev_Ar1106406943le_alt @ X3)))=(last_A1217315288le_alt @ (cons_A228743023le_alt @ X4 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_46]), c_0_64])). 17.52/2.86 thf(c_0_185, plain, ![X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(((rev_Ar1106406943le_alt @ (esk87_0 @ X4 @ X3))=(cons_A228743023le_alt @ X4 @ (rev_Ar1106406943le_alt @ X3)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171, c_0_47]), c_0_172]), c_0_49]), c_0_52])). 17.52/2.86 thf(c_0_186, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt, X6:arrow_475358991le_alt]:(((hd_Arr1965683346le_alt @ (esk87_0 @ X4 @ (cons_A228743023le_alt @ X6 @ X3)))=(X6))), inference(spm,[status(thm)],[c_0_173, c_0_52])). 17.52/2.86 thf(c_0_187, plain, ![X53:arrow_475358991le_alt > $o, X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:((((dropWh1316781920le_alt @ X53 @ X3)!=(esk87_0 @ X4 @ nil_Ar1286194111le_alt))|~((distin236324274le_alt @ (cons_A228743023le_alt @ X4 @ X3))))), inference(spm,[status(thm)],[c_0_174, c_0_175])). 17.52/2.86 thf(c_0_188, plain, (distin236324274le_alt @ (cons_A228743023le_alt @ c @ (esk87_0 @ b @ nil_Ar1286194111le_alt))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_176]), c_0_177])])). 17.52/2.86 thf(c_0_189, plain, ![X53:arrow_475358991le_alt > $o, X3:list_A2115238852le_alt]:(((append179082452le_alt @ (takeWh1696291512le_alt @ X53 @ X3) @ (dropWh1316781920le_alt @ X53 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_178])). 17.52/2.86 thf(c_0_190, plain, ![X3:list_A2115238852le_alt]:(((takeWh1696291512le_alt @ (^[Z0/* 4 */:arrow_475358991le_alt]:(~($true))) @ X3)=(nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_179, c_0_180])). 17.52/2.86 thf(c_0_191, negated_conjecture, ![X4:arrow_475358991le_alt]:((((b)=(c))|((X4)=(b))|((X4)=(a))|(member214075476le_alt @ (produc1347929815le_alt @ a @ X4) @ (arrow_2098199487_below @ (p @ esk1_0) @ X4 @ b)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_182]), c_0_147])])). 17.52/2.86 thf(c_0_192, negated_conjecture, (((b)=(c))|~((member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ (epred19_0 @ esk1_0)))), inference(spm,[status(thm)],[c_0_183, c_0_182])). 17.52/2.86 thf(c_0_193, plain, ![X3:list_A2115238852le_alt, X4:arrow_475358991le_alt, X6:arrow_475358991le_alt]:(((last_A1217315288le_alt @ (cons_A228743023le_alt @ X4 @ (esk87_0 @ X6 @ X3)))=(X6))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184, c_0_185]), c_0_186])). 17.52/2.86 thf(c_0_194, plain, ![X53:arrow_475358991le_alt > $o]:(((dropWh1316781920le_alt @ X53 @ (esk87_0 @ b @ nil_Ar1286194111le_alt))!=(esk87_0 @ c @ nil_Ar1286194111le_alt))), inference(spm,[status(thm)],[c_0_187, c_0_188])). 17.52/2.86 thf(c_0_195, plain, ![X3:list_A2115238852le_alt]:(((dropWh1316781920le_alt @ (^[Z0/* 4 */:arrow_475358991le_alt]:(~($true))) @ X3)=(X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189, c_0_190]), c_0_99])). 17.52/2.86 thf(c_0_196, plain, (((a)=(c))|((b)=(c))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_131]), c_0_192])). 17.52/2.86 thf(c_0_197, plain, ![X6:arrow_475358991le_alt, X4:arrow_475358991le_alt, X3:list_A2115238852le_alt]:(~((distin236324274le_alt @ (cons_A228743023le_alt @ X4 @ (cons_A228743023le_alt @ X6 @ (esk87_0 @ X4 @ X3)))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_193]), c_0_64])). 17.52/2.86 thf(c_0_198, plain, ((esk87_0 @ b @ nil_Ar1286194111le_alt)!=(esk87_0 @ c @ nil_Ar1286194111le_alt)), inference(spm,[status(thm)],[c_0_194, c_0_195])). 17.52/2.86 thf(c_0_199, plain, ((b)=(c)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_196]), c_0_49]), c_0_197])). 17.52/2.86 thf(c_0_200, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198, c_0_199])]), ['proof']). 17.52/2.86 # SZS output end CNFRefutation 17.52/2.86 # Parsed axioms : 1031 17.52/2.86 # Removed by relevancy pruning/SinE : 798 17.52/2.86 # Initial clauses : 445 17.52/2.86 # Removed in clause preprocessing : 15 17.52/2.86 # Initial clauses in saturation : 430 17.52/2.86 # Processed clauses : 12422 17.52/2.86 # ...of these trivial : 95 17.52/2.86 # ...subsumed : 8050 17.52/2.86 # ...remaining for further processing : 4277 17.52/2.86 # Other redundant clauses eliminated : 6009 17.52/2.86 # Clauses deleted for lack of memory : 0 17.52/2.86 # Backward-subsumed : 158 17.52/2.86 # Backward-rewritten : 1416 17.52/2.86 # Generated clauses : 78617 17.52/2.86 # ...of the previous two non-redundant : 67884 17.52/2.86 # ...aggressively subsumed : 0 17.52/2.86 # Contextual simplify-reflections : 30 17.52/2.86 # Paramodulations : 69365 17.52/2.86 # Factorizations : 11 17.52/2.86 # NegExts : 370 17.52/2.86 # Equation resolutions : 6030 17.52/2.86 # Disequality decompositions : 0 17.52/2.86 # Total rewrite steps : 19613 17.52/2.86 # ...of those cached : 17112 17.52/2.86 # Propositional unsat checks : 0 17.52/2.86 # Propositional check models : 0 17.52/2.86 # Propositional check unsatisfiable : 0 17.52/2.86 # Propositional clauses : 0 17.52/2.86 # Propositional clauses after purity: 0 17.52/2.86 # Propositional unsat core size : 0 17.52/2.86 # Propositional preprocessing time : 0.000 17.52/2.86 # Propositional encoding time : 0.000 17.52/2.86 # Propositional solver time : 0.000 17.52/2.86 # Success case prop preproc time : 0.000 17.52/2.86 # Success case prop encoding time : 0.000 17.52/2.86 # Success case prop solver time : 0.000 17.52/2.86 # Current number of processed clauses : 2129 17.52/2.86 # Positive orientable unit clauses : 287 17.52/2.86 # Positive unorientable unit clauses: 0 17.52/2.86 # Negative unit clauses : 229 17.52/2.86 # Non-unit-clauses : 1613 17.52/2.86 # Current number of unprocessed clauses: 55771 17.52/2.86 # ...number of literals in the above : 174501 17.52/2.86 # Current number of archived formulas : 0 17.52/2.86 # Current number of archived clauses : 2090 17.52/2.86 # Clause-clause subsumption calls (NU) : 1638026 17.52/2.86 # Rec. Clause-clause subsumption calls : 956067 17.52/2.86 # Non-unit clause-clause subsumptions : 5147 17.52/2.86 # Unit Clause-clause subsumption calls : 91030 17.52/2.86 # Rewrite failures with RHS unbound : 0 17.52/2.86 # BW rewrite match attempts : 259 17.52/2.86 # BW rewrite match successes : 75 17.52/2.86 # Condensation attempts : 0 17.52/2.86 # Condensation successes : 0 17.52/2.86 # Termbank termtop insertions : 2432705 17.52/2.86 # Search garbage collected termcells : 15566 17.52/2.86 17.52/2.86 # ------------------------------------------------- 17.52/2.86 # User time : 2.114 s 17.52/2.86 # System time : 0.054 s 17.52/2.86 # Total time : 2.168 s 17.52/2.86 # Maximum resident set size: 6416 pages 17.52/2.86 17.52/2.86 # ------------------------------------------------- 17.52/2.86 # User time : 10.499 s 17.52/2.86 # System time : 0.239 s 17.52/2.86 # Total time : 10.738 s 17.52/2.86 # Maximum resident set size: 4240 pages 17.52/2.86 % E exiting 17.52/2.86 % E exiting 17.52/2.86 EOF