0.12/0.35 % Problem : Vampire---4.8_30073 : TPTP v0.0.0. Released v0.0.0. 0.36/0.36 % Command : run_E %s %d THM 0.40/0.57 % Computer : n021.cluster.edu 0.40/0.57 % Model : x86_64 x86_64 0.40/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.40/0.57 % Memory : 8042.1875MB 0.40/0.57 % OS : Linux 3.10.0-693.el7.x86_64 0.40/0.57 % CPULimit : 1440 0.40/0.57 % WCLimit : 180 0.40/0.57 % DateTime : Mon Jul 3 13:00:08 EDT 2023 0.40/0.57 % CPUTime : 0.42/0.88 Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073 0.42/0.88 # Version: 3.1pre001-ho 76.24/10.61 # Preprocessing class: HMLMSMSMSSLNHSA. 76.24/10.61 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 76.24/10.61 # Starting sh2lt with 900s (5) cores 76.24/10.61 # Starting new_ho_6 with 180s (1) cores 76.24/10.61 # Starting almost_fo_2 with 180s (1) cores 76.24/10.61 # Starting sh5l with 180s (1) cores 76.24/10.61 # sh2lt with pid 30415 completed with status 0 76.24/10.61 # Result found by sh2lt 76.24/10.61 # Preprocessing class: HMLMSMSMSSLNHSA. 76.24/10.61 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 76.24/10.61 # Starting sh2lt with 900s (5) cores 76.24/10.61 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 76.24/10.61 # Search class: HGHSM-FSLM32-DHSFFSBN 76.24/10.61 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 76.24/10.61 # Starting full_lambda_3 with 415s (1) cores 76.24/10.61 # Starting sh2lt with 91s (1) cores 76.24/10.61 # Starting pre_casc_4 with 123s (1) cores 76.24/10.61 # Starting lpo5_fix with 82s (1) cores 76.24/10.61 # Starting new_bool_12 with 82s (1) cores 76.24/10.61 # sh2lt with pid 30422 completed with status 0 76.24/10.61 # Result found by sh2lt 76.24/10.61 # Preprocessing class: HMLMSMSMSSLNHSA. 76.24/10.61 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 76.24/10.61 # Starting sh2lt with 900s (5) cores 76.24/10.61 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 76.24/10.61 # Search class: HGHSM-FSLM32-DHSFFSBN 76.24/10.61 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 76.24/10.61 # Starting full_lambda_3 with 415s (1) cores 76.24/10.61 # Starting sh2lt with 91s (1) cores 76.24/10.61 # Preprocessing time : 0.016 s 76.24/10.61 # Presaturation interreduction done 76.24/10.61 76.24/10.61 # Proof found! 76.24/10.61 # SZS status Theorem 76.24/10.61 # SZS output start CNFRefutation 76.24/10.61 thf(decl_25, type, arrow_1982173296le_Lin: (produc1572197287le_alt > $o) > $o). 76.24/10.61 thf(decl_26, type, arrow_1647925946e_Prof: (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o). 76.24/10.61 thf(decl_28, type, arrow_1865170000_below: (produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt > $o). 76.24/10.61 thf(decl_63, type, pi_Arr1309696186_alt_o: (arrow_1196572341e_indi > $o) > (arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o) > (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o). 76.24/10.61 thf(decl_88, type, append1092755459le_alt: list_A1402527603le_alt > list_A1402527603le_alt > list_A1402527603le_alt). 76.24/10.61 thf(decl_98, type, butlas1188620858le_alt: list_A1402527603le_alt > list_A1402527603le_alt). 76.24/10.61 thf(decl_107, type, distin1149997281le_alt: list_A1402527603le_alt > $o). 76.24/10.61 thf(decl_152, type, last_A2130988295le_alt: list_A1402527603le_alt > arrow_1389031998le_alt). 76.24/10.61 thf(decl_174, type, cons_A1142416030le_alt: arrow_1389031998le_alt > list_A1402527603le_alt > list_A1402527603le_alt). 76.24/10.61 thf(decl_184, type, nil_Ar52383470le_alt: list_A1402527603le_alt). 76.24/10.61 thf(decl_206, type, rev_Ar2020079950le_alt: list_A1402527603le_alt > list_A1402527603le_alt). 76.24/10.61 thf(decl_211, type, rotate1249022267le_alt: list_A1402527603le_alt > list_A1402527603le_alt). 76.24/10.61 thf(decl_216, type, set_Ar1491127311le_alt: list_A1402527603le_alt > arrow_1389031998le_alt > $o). 76.24/10.61 thf(decl_277, type, top_to54564308indi_o: arrow_1196572341e_indi > $o). 76.24/10.61 thf(decl_286, type, produc897867031le_alt: arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt). 76.24/10.61 thf(decl_358, type, member822980838_alt_o: (arrow_1196572341e_indi > produc1572197287le_alt > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o). 76.24/10.61 thf(decl_364, type, member1241905979_alt_o: (produc1572197287le_alt > $o) > ((produc1572197287le_alt > $o) > $o) > $o). 76.24/10.61 thf(decl_374, type, member998036369le_alt: arrow_1389031998le_alt > (arrow_1389031998le_alt > $o) > $o). 76.24/10.61 thf(decl_375, type, member1818997282e_indi: arrow_1196572341e_indi > (arrow_1196572341e_indi > $o) > $o). 76.24/10.61 thf(decl_382, type, member285112084le_alt: produc1572197287le_alt > (produc1572197287le_alt > $o) > $o). 76.24/10.61 thf(decl_399, type, p: arrow_1196572341e_indi > produc1572197287le_alt > $o). 76.24/10.61 thf(decl_400, type, a: arrow_1389031998le_alt). 76.24/10.61 thf(decl_401, type, b: arrow_1389031998le_alt). 76.24/10.61 thf(decl_402, type, c: arrow_1389031998le_alt). 76.24/10.61 thf(decl_403, type, esk1_0: arrow_1196572341e_indi). 76.24/10.61 thf(decl_574, type, epred18_0: arrow_1196572341e_indi > produc1572197287le_alt > $o). 76.24/10.61 thf(decl_577, type, epred21_0: arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o). 76.24/10.61 thf(decl_586, type, esk158_0: arrow_1389031998le_alt > list_A1402527603le_alt > list_A1402527603le_alt). 76.24/10.61 thf(fact_87_PiE, axiom, ![X395:arrow_1196572341e_indi, X396:arrow_1196572341e_indi > produc1572197287le_alt > $o, X397:arrow_1196572341e_indi > $o, X398:arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]:(((~((member1818997282e_indi @ X395 @ X397))<=~((member1241905979_alt_o @ (X396 @ X395) @ (X398 @ X395))))<=(member822980838_alt_o @ X396 @ (pi_Arr1309696186_alt_o @ X397 @ X398)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_87_PiE)). 76.24/10.61 thf(fact_12_in__below, axiom, ![X2604:arrow_1389031998le_alt, X2605:arrow_1389031998le_alt, X401:produc1572197287le_alt > $o, X402:arrow_1389031998le_alt, X403:arrow_1389031998le_alt]:((((member1241905979_alt_o @ X401 @ arrow_1982173296le_Lin)=>((member285112084le_alt @ (produc897867031le_alt @ X2604 @ X2605) @ (arrow_1865170000_below @ X401 @ X402 @ X403))<=>((((member285112084le_alt @ (produc897867031le_alt @ X2604 @ X403) @ X401)<=((X2605)=(X402)))&(((((X2604)!=(X402))=>(member285112084le_alt @ (produc897867031le_alt @ X2604 @ X2605) @ X401))&((((X2605)=(X403))|(member285112084le_alt @ (produc897867031le_alt @ X403 @ X2605) @ X401))<=((X2604)=(X402))))<=((X2605)!=(X402))))&((X2604)!=(X2605)))))<=((X402)!=(X403)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_12_in__below)). 76.24/10.61 thf(fact_340_Prof__def, axiom, ((arrow_1647925946e_Prof)=(pi_Arr1309696186_alt_o @ top_to54564308indi_o @ (^[X2486:arrow_1196572341e_indi]:(arrow_1982173296le_Lin)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_340_Prof__def)). 76.24/10.61 thf(fact_376_UNIV__I, axiom, ![X2053:arrow_1196572341e_indi]:((member1818997282e_indi @ X2053 @ top_to54564308indi_o)), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_376_UNIV__I)). 76.24/10.61 thf(conj_0, conjecture, ![X1338:arrow_1196572341e_indi]:(((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ X1338))<=>(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (arrow_1865170000_below @ (p @ X1338) @ c @ b)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', conj_0)). 76.24/10.61 thf(fact_623_rev__singleton__conv, axiom, ![X258:list_A1402527603le_alt, X259:arrow_1389031998le_alt]:((((rev_Ar2020079950le_alt @ X258)=(cons_A1142416030le_alt @ X259 @ nil_Ar52383470le_alt))<=>((X258)=(cons_A1142416030le_alt @ X259 @ nil_Ar52383470le_alt)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_623_rev__singleton__conv)). 76.24/10.61 thf(fact_628_rev_Osimps_I2_J, axiom, ![X2782:arrow_1389031998le_alt, X2783:list_A1402527603le_alt]:(((rev_Ar2020079950le_alt @ (cons_A1142416030le_alt @ X2782 @ X2783))=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X2783) @ (cons_A1142416030le_alt @ X2782 @ nil_Ar52383470le_alt)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_628_rev_Osimps_I2_J)). 76.24/10.61 thf(fact_708_distinct_Osimps_I2_J, axiom, ![X1768:arrow_1389031998le_alt, X1769:list_A1402527603le_alt]:(((distin1149997281le_alt @ (cons_A1142416030le_alt @ X1768 @ X1769))<=>(~((member998036369le_alt @ X1768 @ (set_Ar1491127311le_alt @ X1769)))&(distin1149997281le_alt @ X1769)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_708_distinct_Osimps_I2_J)). 76.24/10.61 thf(fact_442_rotate__simps, axiom, ![X1938:arrow_1389031998le_alt, X1939:list_A1402527603le_alt]:((((rotate1249022267le_alt @ nil_Ar52383470le_alt)=(nil_Ar52383470le_alt))&((rotate1249022267le_alt @ (cons_A1142416030le_alt @ X1938 @ X1939))=(append1092755459le_alt @ X1939 @ (cons_A1142416030le_alt @ X1938 @ nil_Ar52383470le_alt))))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_442_rotate__simps)). 76.24/10.61 thf(fact_0__096P_A_058_AProf_096, axiom, (member822980838_alt_o @ p @ arrow_1647925946e_Prof), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_0__096P_A_058_AProf_096)). 76.24/10.61 thf(fact_319_mem__def, axiom, ![X216:produc1572197287le_alt, X217:produc1572197287le_alt > $o]:(((X217 @ X216)<=>(member285112084le_alt @ X216 @ X217))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_319_mem__def)). 76.24/10.61 thf(fact_605_rev_Osimps_I1_J, axiom, ((rev_Ar2020079950le_alt @ nil_Ar52383470le_alt)=(nil_Ar52383470le_alt)), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_605_rev_Osimps_I1_J)). 76.24/10.61 thf(fact_697_set__rotate1, axiom, ![X2993:list_A1402527603le_alt]:(((set_Ar1491127311le_alt @ (rotate1249022267le_alt @ X2993))=(set_Ar1491127311le_alt @ X2993))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_697_set__rotate1)). 76.24/10.61 thf(fact_422_butlast__snoc, axiom, ![X726:list_A1402527603le_alt, X727:arrow_1389031998le_alt]:(((butlas1188620858le_alt @ (append1092755459le_alt @ X726 @ (cons_A1142416030le_alt @ X727 @ nil_Ar52383470le_alt)))=(X726))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_422_butlast__snoc)). 76.24/10.61 thf(fact_433_snoc__eq__iff__butlast, axiom, ![X2016:list_A1402527603le_alt, X2017:arrow_1389031998le_alt, X2018:list_A1402527603le_alt]:((((append1092755459le_alt @ X2016 @ (cons_A1142416030le_alt @ X2017 @ nil_Ar52383470le_alt))=(X2018))<=>((((X2018)!=(nil_Ar52383470le_alt))&((butlas1188620858le_alt @ X2018)=(X2016)))&((last_A2130988295le_alt @ X2018)=(X2017))))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_433_snoc__eq__iff__butlast)). 76.24/10.61 thf(fact_4_dist, axiom, (distin1149997281le_alt @ (cons_A1142416030le_alt @ a @ (cons_A1142416030le_alt @ b @ (cons_A1142416030le_alt @ c @ nil_Ar52383470le_alt)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_4_dist)). 76.24/10.61 thf(fact_689_in__set__butlastD, axiom, ![X2339:arrow_1389031998le_alt, X2340:list_A1402527603le_alt]:(((member998036369le_alt @ X2339 @ (set_Ar1491127311le_alt @ (butlas1188620858le_alt @ X2340)))=>(member998036369le_alt @ X2339 @ (set_Ar1491127311le_alt @ X2340)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_689_in__set__butlastD)). 76.24/10.61 thf(fact_423_last__snoc, axiom, ![X1454:list_A1402527603le_alt, X1455:arrow_1389031998le_alt]:(((last_A2130988295le_alt @ (append1092755459le_alt @ X1454 @ (cons_A1142416030le_alt @ X1455 @ nil_Ar52383470le_alt)))=(X1455))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_423_last__snoc)). 76.24/10.61 thf(fact_725_last__in__set, axiom, ![X2293:list_A1402527603le_alt]:((((X2293)!=(nil_Ar52383470le_alt))=>(member998036369le_alt @ (last_A2130988295le_alt @ X2293) @ (set_Ar1491127311le_alt @ X2293)))), file('/export/starexec/sandbox2/tmp/tmp.yAVVOOeh1e/Vampire---4.8_30073', fact_725_last__in__set)). 76.24/10.61 thf(c_0_19, plain, ![X395:arrow_1196572341e_indi, X396:arrow_1196572341e_indi > produc1572197287le_alt > $o, X397:arrow_1196572341e_indi > $o, X398:arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]:(((member822980838_alt_o @ X396 @ (pi_Arr1309696186_alt_o @ X397 @ X398))=>(~(member1241905979_alt_o @ (X396 @ X395) @ (X398 @ X395))=>~(member1818997282e_indi @ X395 @ X397)))), inference(fof_simplification,[status(thm)],[fact_87_PiE])). 76.24/10.61 thf(c_0_20, plain, ![X2604:arrow_1389031998le_alt, X2605:arrow_1389031998le_alt, X401:produc1572197287le_alt > $o, X402:arrow_1389031998le_alt, X403:arrow_1389031998le_alt]:((((X402)!=(X403))=>((member1241905979_alt_o @ X401 @ arrow_1982173296le_Lin)=>((member285112084le_alt @ (produc897867031le_alt @ X2604 @ X2605) @ (arrow_1865170000_below @ X401 @ X402 @ X403))<=>(((((X2605)=(X402))=>(member285112084le_alt @ (produc897867031le_alt @ X2604 @ X403) @ X401))&(((X2605)!=(X402))=>((((X2604)!=(X402))=>(member285112084le_alt @ (produc897867031le_alt @ X2604 @ X2605) @ X401))&(((X2604)=(X402))=>(((X2605)=(X403))|(member285112084le_alt @ (produc897867031le_alt @ X403 @ X2605) @ X401))))))&((X2604)!=(X2605))))))), inference(fof_simplification,[status(thm)],[fact_12_in__below])). 76.24/10.61 thf(c_0_21, plain, ![X4757:arrow_1196572341e_indi, X4758:arrow_1196572341e_indi > produc1572197287le_alt > $o, X4759:arrow_1196572341e_indi > $o, X4760:arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]:((~(member822980838_alt_o @ X4758 @ (pi_Arr1309696186_alt_o @ X4759 @ X4760))|((member1241905979_alt_o @ (X4758 @ X4757) @ (X4760 @ X4757))|~(member1818997282e_indi @ X4757 @ X4759)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])). 76.24/10.61 thf(c_0_22, plain, ((arrow_1647925946e_Prof)=(pi_Arr1309696186_alt_o @ top_to54564308indi_o @ (^[Z0/* 25 */:arrow_1196572341e_indi]:(arrow_1982173296le_Lin)))), inference(fof_simplification,[status(thm)],[fact_340_Prof__def])). 76.24/10.61 thf(c_0_23, plain, ![X5418:arrow_1196572341e_indi]:(((epred21_0 @ X5418)=(arrow_1982173296le_Lin))), introduced(definition)). 76.24/10.61 thf(c_0_24, plain, ![X5517:arrow_1196572341e_indi]:(((epred21_0 @ X5517)=(arrow_1982173296le_Lin))), inference(variable_rename,[status(thm)],[])). 76.24/10.61 thf(c_0_25, plain, ![X4794:arrow_1196572341e_indi]:((member1818997282e_indi @ X4794 @ top_to54564308indi_o)), inference(variable_rename,[status(thm)],[fact_376_UNIV__I])). 76.24/10.61 thf(c_0_26, negated_conjecture, ~(![X1338:arrow_1196572341e_indi]:(((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ X1338))<=>(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (arrow_1865170000_below @ (p @ X1338) @ c @ b))))), inference(assume_negation,[status(cth)],[conj_0])). 76.24/10.61 thf(c_0_27, plain, ![X4430:list_A1402527603le_alt, X4431:arrow_1389031998le_alt]:(((((rev_Ar2020079950le_alt @ X4430)!=(cons_A1142416030le_alt @ X4431 @ nil_Ar52383470le_alt))|((X4430)=(cons_A1142416030le_alt @ X4431 @ nil_Ar52383470le_alt)))&(((X4430)!=(cons_A1142416030le_alt @ X4431 @ nil_Ar52383470le_alt))|((rev_Ar2020079950le_alt @ X4430)=(cons_A1142416030le_alt @ X4431 @ nil_Ar52383470le_alt))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_623_rev__singleton__conv])])). 76.24/10.61 thf(c_0_28, plain, ![X4559:arrow_1389031998le_alt, X4560:list_A1402527603le_alt]:(((rev_Ar2020079950le_alt @ (cons_A1142416030le_alt @ X4559 @ X4560))=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X4560) @ (cons_A1142416030le_alt @ X4559 @ nil_Ar52383470le_alt)))), inference(variable_rename,[status(thm)],[fact_628_rev_Osimps_I2_J])). 76.24/10.61 thf(c_0_29, plain, ![X5499:list_A1402527603le_alt, X5500:arrow_1389031998le_alt]:(((esk158_0 @ X5500 @ X5499)=(append1092755459le_alt @ X5499 @ (cons_A1142416030le_alt @ X5500 @ nil_Ar52383470le_alt)))), inference(variable_rename,[status(thm)],[])). 76.24/10.61 thf(c_0_30, plain, ![X4302:arrow_1389031998le_alt, X4303:arrow_1389031998le_alt, X4304:produc1572197287le_alt > $o, X4305:arrow_1389031998le_alt, X4306:arrow_1389031998le_alt]:(((((((X4303)!=(X4305))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4306) @ X4304)|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&((((X4302)=(X4305))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ X4304)|((X4303)=(X4305))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&(((X4302)!=(X4305))|(((X4303)=(X4306))|(member285112084le_alt @ (produc897867031le_alt @ X4306 @ X4303) @ X4304))|((X4303)=(X4305))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))))&(((X4302)!=(X4303))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306))))&(((((X4303)!=(X4305))|((X4303)=(X4305))|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&(((((X4302)=(X4305))|((X4302)!=(X4305))|((X4303)=(X4305))|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&((((X4303)!=(X4306))|((X4302)!=(X4305))|((X4303)=(X4305))|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&(~(member285112084le_alt @ (produc897867031le_alt @ X4306 @ X4303) @ X4304)|((X4302)!=(X4305))|((X4303)=(X4305))|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))))&((((X4302)=(X4305))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ X4304)|((X4303)=(X4305))|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&((((X4303)!=(X4306))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ X4304)|((X4303)=(X4305))|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&(~(member285112084le_alt @ (produc897867031le_alt @ X4306 @ X4303) @ X4304)|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ X4304)|((X4303)=(X4305))|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))))))&((((X4303)!=(X4305))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4306) @ X4304)|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&(((((X4302)=(X4305))|((X4302)!=(X4305))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4306) @ X4304)|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&((((X4303)!=(X4306))|((X4302)!=(X4305))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4306) @ X4304)|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&(~(member285112084le_alt @ (produc897867031le_alt @ X4306 @ X4303) @ X4304)|((X4302)!=(X4305))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4306) @ X4304)|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))))&((((X4302)=(X4305))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ X4304)|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4306) @ X4304)|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&((((X4303)!=(X4306))|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ X4304)|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4306) @ X4304)|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))&(~(member285112084le_alt @ (produc897867031le_alt @ X4306 @ X4303) @ X4304)|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ X4304)|~(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4306) @ X4304)|((X4302)=(X4303))|(member285112084le_alt @ (produc897867031le_alt @ X4302 @ X4303) @ (arrow_1865170000_below @ X4304 @ X4305 @ X4306))|~(member1241905979_alt_o @ X4304 @ arrow_1982173296le_Lin)|((X4305)=(X4306)))))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])). 76.24/10.61 thf(c_0_31, plain, ![X15:arrow_1196572341e_indi, X398:arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o, X42:arrow_1196572341e_indi > produc1572197287le_alt > $o, X40:arrow_1196572341e_indi > $o]:(((member1241905979_alt_o @ (X42 @ X15) @ (X398 @ X15))|~((member822980838_alt_o @ X42 @ (pi_Arr1309696186_alt_o @ X40 @ X398)))|~((member1818997282e_indi @ X15 @ X40)))), inference(split_conjunct,[status(thm)],[c_0_21])). 76.24/10.61 thf(c_0_32, plain, ((arrow_1647925946e_Prof)=(pi_Arr1309696186_alt_o @ top_to54564308indi_o @ epred21_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_22]), c_0_23])). 76.24/10.61 thf(c_0_33, plain, ![X15:arrow_1196572341e_indi]:(((epred21_0 @ X15)=(arrow_1982173296le_Lin))), inference(split_conjunct,[status(thm)],[c_0_24])). 76.24/10.61 thf(c_0_34, plain, ![X15:arrow_1196572341e_indi]:((member1818997282e_indi @ X15 @ top_to54564308indi_o)), inference(split_conjunct,[status(thm)],[c_0_25])). 76.24/10.61 thf(c_0_35, negated_conjecture, ((~(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0))|~(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (arrow_1865170000_below @ (p @ esk1_0) @ c @ b)))&((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (arrow_1865170000_below @ (p @ esk1_0) @ c @ b)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])). 76.24/10.61 thf(c_0_36, plain, ![X5521:arrow_1196572341e_indi]:(((epred18_0 @ X5521)=(arrow_1865170000_below @ (p @ X5521) @ c @ b))), inference(variable_rename,[status(thm)],[])). 76.24/10.61 thf(c_0_37, plain, ![X1768:arrow_1389031998le_alt, X1769:list_A1402527603le_alt]:(((distin1149997281le_alt @ (cons_A1142416030le_alt @ X1768 @ X1769))<=>(~(member998036369le_alt @ X1768 @ (set_Ar1491127311le_alt @ X1769))&(distin1149997281le_alt @ X1769)))), inference(fof_simplification,[status(thm)],[fact_708_distinct_Osimps_I2_J])). 76.24/10.61 thf(c_0_38, plain, ![X32:list_A1402527603le_alt, X60:arrow_1389031998le_alt]:((((rev_Ar2020079950le_alt @ X32)=(cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt))|((X32)!=(cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt)))), inference(split_conjunct,[status(thm)],[c_0_27])). 76.24/10.61 thf(c_0_39, plain, ![X32:list_A1402527603le_alt, X60:arrow_1389031998le_alt]:(((rev_Ar2020079950le_alt @ (cons_A1142416030le_alt @ X60 @ X32))=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X32) @ (cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt)))), inference(split_conjunct,[status(thm)],[c_0_28])). 76.24/10.61 thf(c_0_40, plain, ![X32:list_A1402527603le_alt, X60:arrow_1389031998le_alt]:(((esk158_0 @ X60 @ X32)=(append1092755459le_alt @ X32 @ (cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt)))), inference(split_conjunct,[status(thm)],[c_0_29])). 76.24/10.61 thf(c_0_41, plain, ![X4940:arrow_1389031998le_alt, X4941:list_A1402527603le_alt]:((((rotate1249022267le_alt @ nil_Ar52383470le_alt)=(nil_Ar52383470le_alt))&((rotate1249022267le_alt @ (cons_A1142416030le_alt @ X4940 @ X4941))=(append1092755459le_alt @ X4941 @ (cons_A1142416030le_alt @ X4940 @ nil_Ar52383470le_alt))))), inference(variable_rename,[status(thm)],[fact_442_rotate__simps])). 76.24/10.61 thf(c_0_42, plain, ![X61:arrow_1389031998le_alt, X60:arrow_1389031998le_alt, X80:arrow_1389031998le_alt, X79:arrow_1389031998le_alt, X2:produc1572197287le_alt > $o]:(((member285112084le_alt @ (produc897867031le_alt @ X79 @ X80) @ X2)|((X61)=(X80))|((X60)!=(X61))|~((member285112084le_alt @ (produc897867031le_alt @ X79 @ X60) @ (arrow_1865170000_below @ X2 @ X61 @ X80)))|~((member1241905979_alt_o @ X2 @ arrow_1982173296le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_30])). 76.24/10.61 thf(c_0_43, plain, ![X15:arrow_1196572341e_indi, X42:arrow_1196572341e_indi > produc1572197287le_alt > $o]:(((member1241905979_alt_o @ (X42 @ X15) @ arrow_1982173296le_Lin)|~((member822980838_alt_o @ X42 @ arrow_1647925946e_Prof)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_34])])). 76.24/10.61 thf(c_0_44, plain, (member822980838_alt_o @ p @ arrow_1647925946e_Prof), inference(split_conjunct,[status(thm)],[fact_0__096P_A_058_AProf_096])). 76.24/10.61 thf(c_0_45, plain, ![X4287:produc1572197287le_alt, X4288:produc1572197287le_alt > $o]:(((~(X4288 @ X4287)|(member285112084le_alt @ X4287 @ X4288))&(~(member285112084le_alt @ X4287 @ X4288)|(X4288 @ X4287)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_319_mem__def])])). 76.24/10.61 thf(c_0_46, negated_conjecture, ((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (arrow_1865170000_below @ (p @ esk1_0) @ c @ b))), inference(split_conjunct,[status(thm)],[c_0_35])). 76.24/10.61 thf(c_0_47, plain, ![X15:arrow_1196572341e_indi]:(((epred18_0 @ X15)=(arrow_1865170000_below @ (p @ X15) @ c @ b))), inference(split_conjunct,[status(thm)],[c_0_36])). 76.24/10.61 thf(c_0_48, plain, ![X4406:arrow_1389031998le_alt, X4407:list_A1402527603le_alt]:((((~(member998036369le_alt @ X4406 @ (set_Ar1491127311le_alt @ X4407))|~(distin1149997281le_alt @ (cons_A1142416030le_alt @ X4406 @ X4407)))&((distin1149997281le_alt @ X4407)|~(distin1149997281le_alt @ (cons_A1142416030le_alt @ X4406 @ X4407))))&((member998036369le_alt @ X4406 @ (set_Ar1491127311le_alt @ X4407))|~(distin1149997281le_alt @ X4407)|(distin1149997281le_alt @ (cons_A1142416030le_alt @ X4406 @ X4407))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])). 76.24/10.61 thf(c_0_49, plain, ![X60:arrow_1389031998le_alt]:(((rev_Ar2020079950le_alt @ (cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt))=(cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt))), inference(er,[status(thm)],[c_0_38])). 76.24/10.61 thf(c_0_50, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:(((rev_Ar2020079950le_alt @ (cons_A1142416030le_alt @ X60 @ X32))=(esk158_0 @ X60 @ (rev_Ar2020079950le_alt @ X32)))), inference(rw,[status(thm)],[c_0_39, c_0_40])). 76.24/10.61 thf(c_0_51, plain, ((rev_Ar2020079950le_alt @ nil_Ar52383470le_alt)=(nil_Ar52383470le_alt)), inference(split_conjunct,[status(thm)],[fact_605_rev_Osimps_I1_J])). 76.24/10.61 thf(c_0_52, plain, ![X4942:list_A1402527603le_alt]:(((set_Ar1491127311le_alt @ (rotate1249022267le_alt @ X4942))=(set_Ar1491127311le_alt @ X4942))), inference(variable_rename,[status(thm)],[fact_697_set__rotate1])). 76.24/10.61 thf(c_0_53, plain, ![X32:list_A1402527603le_alt, X60:arrow_1389031998le_alt]:(((rotate1249022267le_alt @ (cons_A1142416030le_alt @ X60 @ X32))=(append1092755459le_alt @ X32 @ (cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt)))), inference(split_conjunct,[status(thm)],[c_0_41])). 76.24/10.61 thf(c_0_54, plain, ![X4906:list_A1402527603le_alt, X4907:arrow_1389031998le_alt]:(((butlas1188620858le_alt @ (append1092755459le_alt @ X4906 @ (cons_A1142416030le_alt @ X4907 @ nil_Ar52383470le_alt)))=(X4906))), inference(variable_rename,[status(thm)],[fact_422_butlast__snoc])). 76.24/10.61 thf(c_0_55, plain, ![X79:arrow_1389031998le_alt, X61:arrow_1389031998le_alt, X60:arrow_1389031998le_alt, X2:produc1572197287le_alt > $o]:((((X60)=(X61))|(member285112084le_alt @ (produc897867031le_alt @ X79 @ X61) @ X2)|~((member285112084le_alt @ (produc897867031le_alt @ X79 @ X60) @ (arrow_1865170000_below @ X2 @ X60 @ X61)))|~((member1241905979_alt_o @ X2 @ arrow_1982173296le_Lin)))), inference(er,[status(thm)],[c_0_42])). 76.24/10.61 thf(c_0_56, plain, ![X15:arrow_1196572341e_indi]:((member1241905979_alt_o @ (p @ X15) @ arrow_1982173296le_Lin)), inference(spm,[status(thm)],[c_0_43, c_0_44])). 76.24/10.61 thf(c_0_57, plain, ![X18:produc1572197287le_alt, X2:produc1572197287le_alt > $o]:(((X2 @ X18)|~((member285112084le_alt @ X18 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_45])). 76.24/10.61 thf(c_0_58, negated_conjecture, ((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred18_0 @ esk1_0))), inference(rw,[status(thm)],[c_0_46, c_0_47])). 76.24/10.61 thf(c_0_59, plain, ![X4909:list_A1402527603le_alt, X4910:arrow_1389031998le_alt, X4911:list_A1402527603le_alt]:(((((((X4911)!=(nil_Ar52383470le_alt))|((append1092755459le_alt @ X4909 @ (cons_A1142416030le_alt @ X4910 @ nil_Ar52383470le_alt))!=(X4911)))&(((butlas1188620858le_alt @ X4911)=(X4909))|((append1092755459le_alt @ X4909 @ (cons_A1142416030le_alt @ X4910 @ nil_Ar52383470le_alt))!=(X4911))))&(((last_A2130988295le_alt @ X4911)=(X4910))|((append1092755459le_alt @ X4909 @ (cons_A1142416030le_alt @ X4910 @ nil_Ar52383470le_alt))!=(X4911))))&(((X4911)=(nil_Ar52383470le_alt))|((butlas1188620858le_alt @ X4911)!=(X4909))|((last_A2130988295le_alt @ X4911)!=(X4910))|((append1092755459le_alt @ X4909 @ (cons_A1142416030le_alt @ X4910 @ nil_Ar52383470le_alt))=(X4911))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_433_snoc__eq__iff__butlast])])])). 76.24/10.61 thf(c_0_60, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:((~((member998036369le_alt @ X60 @ (set_Ar1491127311le_alt @ X32)))|~((distin1149997281le_alt @ (cons_A1142416030le_alt @ X60 @ X32))))), inference(split_conjunct,[status(thm)],[c_0_48])). 76.24/10.61 thf(c_0_61, plain, (distin1149997281le_alt @ (cons_A1142416030le_alt @ a @ (cons_A1142416030le_alt @ b @ (cons_A1142416030le_alt @ c @ nil_Ar52383470le_alt)))), inference(split_conjunct,[status(thm)],[fact_4_dist])). 76.24/10.61 thf(c_0_62, plain, ![X60:arrow_1389031998le_alt]:(((cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt)=(esk158_0 @ X60 @ nil_Ar52383470le_alt))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50]), c_0_51])). 76.24/10.61 thf(c_0_63, plain, ![X32:list_A1402527603le_alt]:(((set_Ar1491127311le_alt @ (rotate1249022267le_alt @ X32))=(set_Ar1491127311le_alt @ X32))), inference(split_conjunct,[status(thm)],[c_0_52])). 76.24/10.61 thf(c_0_64, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:(((rotate1249022267le_alt @ (cons_A1142416030le_alt @ X60 @ X32))=(esk158_0 @ X60 @ X32))), inference(rw,[status(thm)],[c_0_53, c_0_40])). 76.24/10.61 thf(c_0_65, plain, ![X4875:arrow_1389031998le_alt, X4876:list_A1402527603le_alt]:((~(member998036369le_alt @ X4875 @ (set_Ar1491127311le_alt @ (butlas1188620858le_alt @ X4876)))|(member998036369le_alt @ X4875 @ (set_Ar1491127311le_alt @ X4876)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_689_in__set__butlastD])])). 76.24/10.61 thf(c_0_66, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:(((butlas1188620858le_alt @ (append1092755459le_alt @ X32 @ (cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt)))=(X32))), inference(split_conjunct,[status(thm)],[c_0_54])). 76.24/10.61 thf(c_0_67, plain, ![X61:arrow_1389031998le_alt, X60:arrow_1389031998le_alt, X80:arrow_1389031998le_alt, X79:arrow_1389031998le_alt, X2:produc1572197287le_alt > $o]:((((X79)=(X60))|(member285112084le_alt @ (produc897867031le_alt @ X79 @ X60) @ (arrow_1865170000_below @ X2 @ X61 @ X80))|((X61)=(X80))|((X60)!=(X61))|~((member285112084le_alt @ (produc897867031le_alt @ X79 @ X80) @ X2))|~((member1241905979_alt_o @ X2 @ arrow_1982173296le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_30])). 76.24/10.61 thf(c_0_68, negated_conjecture, (~((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0)))|~((member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (arrow_1865170000_below @ (p @ esk1_0) @ c @ b)))), inference(split_conjunct,[status(thm)],[c_0_35])). 76.24/10.61 thf(c_0_69, plain, ![X60:arrow_1389031998le_alt, X15:arrow_1196572341e_indi]:((((b)=(c))|(member285112084le_alt @ (produc897867031le_alt @ X60 @ b) @ (p @ X15))|~((member285112084le_alt @ (produc897867031le_alt @ X60 @ c) @ (epred18_0 @ X15))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_47]), c_0_56])])). 76.24/10.61 thf(c_0_70, negated_conjecture, ((member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred18_0 @ esk1_0))|(p @ esk1_0 @ (produc897867031le_alt @ a @ b))), inference(spm,[status(thm)],[c_0_57, c_0_58])). 76.24/10.61 thf(c_0_71, plain, ![X2:produc1572197287le_alt > $o, X18:produc1572197287le_alt]:(((member285112084le_alt @ X18 @ X2)|~((X2 @ X18)))), inference(split_conjunct,[status(thm)],[c_0_45])). 76.24/10.61 thf(c_0_72, plain, ![X4920:list_A1402527603le_alt, X4921:arrow_1389031998le_alt]:(((last_A2130988295le_alt @ (append1092755459le_alt @ X4920 @ (cons_A1142416030le_alt @ X4921 @ nil_Ar52383470le_alt)))=(X4921))), inference(variable_rename,[status(thm)],[fact_423_last__snoc])). 76.24/10.61 thf(c_0_73, plain, ![X60:arrow_1389031998le_alt, X33:list_A1402527603le_alt, X32:list_A1402527603le_alt]:((((X32)!=(nil_Ar52383470le_alt))|((append1092755459le_alt @ X33 @ (cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt))!=(X32)))), inference(split_conjunct,[status(thm)],[c_0_59])). 76.24/10.61 thf(c_0_74, plain, ~((member998036369le_alt @ a @ (set_Ar1491127311le_alt @ (cons_A1142416030le_alt @ b @ (esk158_0 @ c @ nil_Ar52383470le_alt))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_62])). 76.24/10.61 thf(c_0_75, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:(((set_Ar1491127311le_alt @ (cons_A1142416030le_alt @ X60 @ X32))=(set_Ar1491127311le_alt @ (esk158_0 @ X60 @ X32)))), inference(spm,[status(thm)],[c_0_63, c_0_64])). 76.24/10.61 thf(c_0_76, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:(((member998036369le_alt @ X60 @ (set_Ar1491127311le_alt @ X32))|~((member998036369le_alt @ X60 @ (set_Ar1491127311le_alt @ (butlas1188620858le_alt @ X32)))))), inference(split_conjunct,[status(thm)],[c_0_65])). 76.24/10.61 thf(c_0_77, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:(((butlas1188620858le_alt @ (esk158_0 @ X60 @ X32))=(X32))), inference(rw,[status(thm)],[c_0_66, c_0_40])). 76.24/10.61 thf(c_0_78, plain, ![X79:arrow_1389031998le_alt, X61:arrow_1389031998le_alt, X60:arrow_1389031998le_alt, X2:produc1572197287le_alt > $o]:((((X60)=(X61))|((X60)=(X79))|(member285112084le_alt @ (produc897867031le_alt @ X79 @ X60) @ (arrow_1865170000_below @ X2 @ X60 @ X61))|~((member285112084le_alt @ (produc897867031le_alt @ X79 @ X61) @ X2))|~((member1241905979_alt_o @ X2 @ arrow_1982173296le_Lin)))), inference(er,[status(thm)],[c_0_67])). 76.24/10.61 thf(c_0_79, negated_conjecture, (~((member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred18_0 @ esk1_0)))|~((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0)))), inference(rw,[status(thm)],[c_0_68, c_0_47])). 76.24/10.61 thf(c_0_80, negated_conjecture, (((b)=(c))|(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71])). 76.24/10.61 thf(c_0_81, plain, ![X4874:list_A1402527603le_alt]:((((X4874)=(nil_Ar52383470le_alt))|(member998036369le_alt @ (last_A2130988295le_alt @ X4874) @ (set_Ar1491127311le_alt @ X4874)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_725_last__in__set])])). 76.24/10.61 thf(c_0_82, plain, ![X32:list_A1402527603le_alt, X60:arrow_1389031998le_alt]:(((last_A2130988295le_alt @ (append1092755459le_alt @ X32 @ (cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt)))=(X60))), inference(split_conjunct,[status(thm)],[c_0_72])). 76.24/10.61 thf(c_0_83, plain, ![X32:list_A1402527603le_alt, X60:arrow_1389031998le_alt]:(((append1092755459le_alt @ X32 @ (cons_A1142416030le_alt @ X60 @ nil_Ar52383470le_alt))!=(nil_Ar52383470le_alt))), inference(er,[status(thm)],[c_0_73])). 76.24/10.61 thf(c_0_84, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:(((distin1149997281le_alt @ X32)|~((distin1149997281le_alt @ (cons_A1142416030le_alt @ X60 @ X32))))), inference(split_conjunct,[status(thm)],[c_0_48])). 76.24/10.61 thf(c_0_85, plain, ~((member998036369le_alt @ a @ (set_Ar1491127311le_alt @ (esk158_0 @ b @ (esk158_0 @ c @ nil_Ar52383470le_alt))))), inference(rw,[status(thm)],[c_0_74, c_0_75])). 76.24/10.61 thf(c_0_86, plain, ![X61:arrow_1389031998le_alt, X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:(((member998036369le_alt @ X60 @ (set_Ar1491127311le_alt @ (esk158_0 @ X61 @ X32)))|~((member998036369le_alt @ X60 @ (set_Ar1491127311le_alt @ X32))))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 76.24/10.61 thf(c_0_87, negated_conjecture, ![X60:arrow_1389031998le_alt]:((((X60)=(b))|((X60)=(a))|(member285112084le_alt @ (produc897867031le_alt @ a @ X60) @ (arrow_1865170000_below @ (p @ esk1_0) @ X60 @ b))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred18_0 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_58]), c_0_56])])). 76.24/10.61 thf(c_0_88, negated_conjecture, (((b)=(c))|~((member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred18_0 @ esk1_0)))), inference(spm,[status(thm)],[c_0_79, c_0_80])). 76.24/10.61 thf(c_0_89, plain, ![X32:list_A1402527603le_alt]:((((X32)=(nil_Ar52383470le_alt))|(member998036369le_alt @ (last_A2130988295le_alt @ X32) @ (set_Ar1491127311le_alt @ X32)))), inference(split_conjunct,[status(thm)],[c_0_81])). 76.24/10.61 thf(c_0_90, plain, ![X32:list_A1402527603le_alt, X60:arrow_1389031998le_alt]:(((last_A2130988295le_alt @ (esk158_0 @ X60 @ X32))=(X60))), inference(rw,[status(thm)],[c_0_82, c_0_40])). 76.24/10.61 thf(c_0_91, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:(((esk158_0 @ X60 @ X32)!=(nil_Ar52383470le_alt))), inference(rw,[status(thm)],[c_0_83, c_0_40])). 76.24/10.61 thf(c_0_92, plain, (distin1149997281le_alt @ (cons_A1142416030le_alt @ b @ (esk158_0 @ c @ nil_Ar52383470le_alt))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_61]), c_0_62])). 76.24/10.61 thf(c_0_93, plain, ~((member998036369le_alt @ a @ (set_Ar1491127311le_alt @ (esk158_0 @ c @ nil_Ar52383470le_alt)))), inference(spm,[status(thm)],[c_0_85, c_0_86])). 76.24/10.61 thf(c_0_94, plain, (((a)=(c))|((b)=(c))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_47]), c_0_88])). 76.24/10.61 thf(c_0_95, plain, ![X60:arrow_1389031998le_alt, X32:list_A1402527603le_alt]:((member998036369le_alt @ X60 @ (set_Ar1491127311le_alt @ (esk158_0 @ X60 @ X32)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_91])). 76.24/10.61 thf(c_0_96, plain, ~((member998036369le_alt @ b @ (set_Ar1491127311le_alt @ (esk158_0 @ c @ nil_Ar52383470le_alt)))), inference(spm,[status(thm)],[c_0_60, c_0_92])). 76.24/10.61 thf(c_0_97, plain, ((b)=(c)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_95])])). 76.24/10.61 thf(c_0_98, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_97]), c_0_95])]), ['proof']). 76.24/10.61 # SZS output end CNFRefutation 76.24/10.61 # Parsed axioms : 1619 76.24/10.61 # Removed by relevancy pruning/SinE : 1247 76.24/10.61 # Initial clauses : 717 76.24/10.61 # Removed in clause preprocessing : 24 76.24/10.61 # Initial clauses in saturation : 693 76.24/10.61 # Processed clauses : 35082 76.24/10.61 # ...of these trivial : 190 76.24/10.61 # ...subsumed : 24267 76.24/10.61 # ...remaining for further processing : 10625 76.24/10.61 # Other redundant clauses eliminated : 12791 76.24/10.61 # Clauses deleted for lack of memory : 0 76.24/10.61 # Backward-subsumed : 501 76.24/10.61 # Backward-rewritten : 1621 76.24/10.61 # Generated clauses : 266625 76.24/10.61 # ...of the previous two non-redundant : 241694 76.24/10.61 # ...aggressively subsumed : 0 76.24/10.61 # Contextual simplify-reflections : 84 76.24/10.61 # Paramodulations : 244855 76.24/10.61 # Factorizations : 17 76.24/10.61 # NegExts : 2604 76.24/10.61 # Equation resolutions : 12820 76.24/10.61 # Total rewrite steps : 67258 76.24/10.61 # Propositional unsat checks : 2 76.24/10.61 # Propositional check models : 0 76.24/10.61 # Propositional check unsatisfiable : 0 76.24/10.61 # Propositional clauses : 0 76.24/10.61 # Propositional clauses after purity: 0 76.24/10.61 # Propositional unsat core size : 0 76.24/10.61 # Propositional preprocessing time : 0.000 76.24/10.61 # Propositional encoding time : 0.372 76.24/10.61 # Propositional solver time : 0.122 76.24/10.61 # Success case prop preproc time : 0.000 76.24/10.61 # Success case prop encoding time : 0.000 76.24/10.61 # Success case prop solver time : 0.000 76.24/10.61 # Current number of processed clauses : 7497 76.24/10.61 # Positive orientable unit clauses : 458 76.24/10.61 # Positive unorientable unit clauses: 11 76.24/10.61 # Negative unit clauses : 465 76.24/10.61 # Non-unit-clauses : 6563 76.24/10.61 # Current number of unprocessed clauses: 205755 76.24/10.61 # ...number of literals in the above : 635818 76.24/10.61 # Current number of archived formulas : 0 76.24/10.61 # Current number of archived clauses : 3039 76.24/10.61 # Clause-clause subsumption calls (NU) : 10147423 76.24/10.61 # Rec. Clause-clause subsumption calls : 5298294 76.24/10.61 # Non-unit clause-clause subsumptions : 17660 76.24/10.61 # Unit Clause-clause subsumption calls : 298329 76.24/10.61 # Rewrite failures with RHS unbound : 2260 76.24/10.61 # BW rewrite match attempts : 14501 76.24/10.61 # BW rewrite match successes : 171 76.24/10.61 # Condensation attempts : 0 76.24/10.61 # Condensation successes : 0 76.24/10.61 # Termbank termtop insertions : 12601057 76.24/10.61 76.24/10.61 # ------------------------------------------------- 76.24/10.61 # User time : 9.307 s 76.24/10.61 # System time : 0.171 s 76.24/10.61 # Total time : 9.478 s 76.24/10.61 # Maximum resident set size: 8708 pages 76.70/10.65 76.70/10.65 # ------------------------------------------------- 76.70/10.65 # User time : 46.502 s 76.70/10.65 # System time : 0.876 s 76.70/10.65 # Total time : 47.378 s 76.70/10.65 # Maximum resident set size: 5688 pages 76.70/10.65 % E---3.1 exiting 76.70/10.65 EOF