0.02/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.13 % Command : run_E %s %d THM 0.10/0.33 % Computer : n023.cluster.edu 0.10/0.33 % Model : x86_64 x86_64 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.33 % Memory : 8042.1875MB 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.33 % CPULimit : 1440 0.10/0.33 % WCLimit : 180 0.10/0.33 % DateTime : Thu Jul 4 10:40:53 EDT 2024 0.10/0.34 % CPUTime : 0.16/0.46 Running higher-order theorem proving 0.44/0.71 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p 132.32/23.61 # Version: 3.2.0-ho 132.32/23.61 # Preprocessing class: HMLMSMSMSSLNHSA. 132.32/23.61 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 132.32/23.61 # Starting sh2lt with 900s (5) cores 132.32/23.61 # Starting new_ho_6 with 180s (1) cores 132.32/23.61 # Starting almost_fo_2 with 180s (1) cores 132.32/23.61 # Starting sh5l with 180s (1) cores 132.32/23.61 # new_ho_6 with pid 30705 completed with status 0 132.32/23.61 # Result found by new_ho_6 132.32/23.61 # Preprocessing class: HMLMSMSMSSLNHSA. 132.32/23.61 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 132.32/23.61 # Starting sh2lt with 900s (5) cores 132.32/23.61 # Starting new_ho_6 with 180s (1) cores 132.32/23.61 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,1.0,false) 132.32/23.61 # Search class: HGHSM-FSLM32-DHSFFSBN 132.32/23.61 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 132.32/23.61 # Starting full_lambda_3 with 83s (1) cores 132.32/23.61 # full_lambda_3 with pid 30709 completed with status 0 132.32/23.61 # Result found by full_lambda_3 132.32/23.61 # Preprocessing class: HMLMSMSMSSLNHSA. 132.32/23.61 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 132.32/23.61 # Starting sh2lt with 900s (5) cores 132.32/23.61 # Starting new_ho_6 with 180s (1) cores 132.32/23.61 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,1.0,false) 132.32/23.61 # Search class: HGHSM-FSLM32-DHSFFSBN 132.32/23.61 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 132.32/23.61 # Starting full_lambda_3 with 83s (1) cores 132.32/23.61 # Preprocessing time : 0.009 s 132.32/23.61 132.32/23.61 # Proof found! 132.32/23.61 # SZS status Theorem 132.32/23.61 # SZS output start CNFRefutation 132.32/23.61 thf(decl_sort1, type, produc1572197287le_alt: $tType). 132.32/23.61 thf(decl_sort2, type, arrow_1196572341e_indi: $tType). 132.32/23.61 thf(decl_sort3, type, arrow_1389031998le_alt: $tType). 132.32/23.61 thf(decl_sort4, type, list_A1402527603le_alt: $tType). 132.32/23.61 thf(decl_25, type, arrow_1982173296le_Lin: (produc1572197287le_alt > $o) > $o). 132.32/23.61 thf(decl_26, type, arrow_1647925946e_Prof: (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o). 132.32/23.61 thf(decl_28, type, arrow_1865170000_below: (produc1572197287le_alt > $o) > arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt > $o). 132.32/23.61 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). 132.32/23.61 thf(decl_88, type, append1092755459le_alt: list_A1402527603le_alt > list_A1402527603le_alt > list_A1402527603le_alt). 132.32/23.61 thf(decl_98, type, butlas1188620858le_alt: list_A1402527603le_alt > list_A1402527603le_alt). 132.32/23.61 thf(decl_107, type, distin1149997281le_alt: list_A1402527603le_alt > $o). 132.32/23.61 thf(decl_152, type, last_A2130988295le_alt: list_A1402527603le_alt > arrow_1389031998le_alt). 132.32/23.61 thf(decl_174, type, cons_A1142416030le_alt: arrow_1389031998le_alt > list_A1402527603le_alt > list_A1402527603le_alt). 132.32/23.61 thf(decl_184, type, nil_Ar52383470le_alt: list_A1402527603le_alt). 132.32/23.61 thf(decl_206, type, rev_Ar2020079950le_alt: list_A1402527603le_alt > list_A1402527603le_alt). 132.32/23.61 thf(decl_211, type, rotate1249022267le_alt: list_A1402527603le_alt > list_A1402527603le_alt). 132.32/23.61 thf(decl_216, type, set_Ar1491127311le_alt: list_A1402527603le_alt > arrow_1389031998le_alt > $o). 132.32/23.61 thf(decl_277, type, top_to54564308indi_o: arrow_1196572341e_indi > $o). 132.32/23.61 thf(decl_286, type, produc897867031le_alt: arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt). 132.32/23.61 thf(decl_358, type, member822980838_alt_o: (arrow_1196572341e_indi > produc1572197287le_alt > $o) > ((arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o) > $o). 132.32/23.61 thf(decl_364, type, member1241905979_alt_o: (produc1572197287le_alt > $o) > ((produc1572197287le_alt > $o) > $o) > $o). 132.32/23.61 thf(decl_374, type, member998036369le_alt: arrow_1389031998le_alt > (arrow_1389031998le_alt > $o) > $o). 132.32/23.61 thf(decl_375, type, member1818997282e_indi: arrow_1196572341e_indi > (arrow_1196572341e_indi > $o) > $o). 132.32/23.61 thf(decl_382, type, member285112084le_alt: produc1572197287le_alt > (produc1572197287le_alt > $o) > $o). 132.32/23.61 thf(decl_399, type, p: arrow_1196572341e_indi > produc1572197287le_alt > $o). 132.32/23.61 thf(decl_400, type, a: arrow_1389031998le_alt). 132.32/23.61 thf(decl_401, type, b: arrow_1389031998le_alt). 132.32/23.61 thf(decl_402, type, c: arrow_1389031998le_alt). 132.32/23.61 thf(decl_403, type, esk1_0: arrow_1196572341e_indi). 132.32/23.61 thf(decl_499, type, epred8_0: arrow_1196572341e_indi > produc1572197287le_alt > $o). 132.32/23.61 thf(decl_501, type, epred10_0: arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o). 132.32/23.61 thf(decl_509, type, esk91_0: arrow_1389031998le_alt > list_A1402527603le_alt > list_A1402527603le_alt). 132.32/23.61 thf(fact_179_Pi__mem, axiom, ![X1552:arrow_1196572341e_indi, X1553:arrow_1196572341e_indi > produc1572197287le_alt > $o, X1554:arrow_1196572341e_indi > $o, X1555:arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]:(((member822980838_alt_o @ X1553 @ (pi_Arr1309696186_alt_o @ X1554 @ X1555))=>((member1241905979_alt_o @ (X1553 @ X1552) @ (X1555 @ X1552))<=(member1818997282e_indi @ X1552 @ X1554)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_179_Pi__mem)). 132.32/23.61 thf(fact_12_in__below, axiom, ![X563:arrow_1389031998le_alt, X564:arrow_1389031998le_alt, X434:produc1572197287le_alt > $o, X565:arrow_1389031998le_alt, X566:arrow_1389031998le_alt]:((((X565)!=(X566))=>((member1241905979_alt_o @ X434 @ arrow_1982173296le_Lin)=>((((((X564)!=(X565))=>(((member285112084le_alt @ (produc897867031le_alt @ X563 @ X564) @ X434)<=((X563)!=(X565)))&(((X563)=(X565))=>(((X564)=(X566))|(member285112084le_alt @ (produc897867031le_alt @ X566 @ X564) @ X434)))))&((member285112084le_alt @ (produc897867031le_alt @ X563 @ X566) @ X434)<=((X564)=(X565))))&((X563)!=(X564)))<=>(member285112084le_alt @ (produc897867031le_alt @ X563 @ X564) @ (arrow_1865170000_below @ X434 @ X565 @ X566)))))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_12_in__below)). 132.32/23.61 thf(conj_0, conjecture, ![X321:arrow_1196572341e_indi]:(((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ X321))<=>(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (arrow_1865170000_below @ (p @ X321) @ c @ b)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', conj_0)). 132.32/23.61 thf(fact_340_Prof__def, axiom, ((arrow_1647925946e_Prof)=(pi_Arr1309696186_alt_o @ top_to54564308indi_o @ (^[X1111:arrow_1196572341e_indi]:(arrow_1982173296le_Lin)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_340_Prof__def)). 132.32/23.61 thf(fact_367_iso__tuple__UNIV__I, axiom, ![X2628:arrow_1196572341e_indi]:((member1818997282e_indi @ X2628 @ top_to54564308indi_o)), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_367_iso__tuple__UNIV__I)). 132.32/23.61 thf(fact_3__096a_A_126_061_Ab_096, axiom, ((a)!=(b)), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_3__096a_A_126_061_Ab_096)). 132.32/23.61 thf(fact_321_mem__def, axiom, ![X2288:produc1572197287le_alt > $o, X2289:(produc1572197287le_alt > $o) > $o]:(((member1241905979_alt_o @ X2288 @ X2289)<=>(X2289 @ X2288))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_321_mem__def)). 132.32/23.61 thf(fact_0__096P_A_058_AProf_096, axiom, (member822980838_alt_o @ p @ arrow_1647925946e_Prof), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_0__096P_A_058_AProf_096)). 132.32/23.61 thf(fact_442_rotate__simps, axiom, ![X438:arrow_1389031998le_alt, X439:list_A1402527603le_alt]:((((rotate1249022267le_alt @ nil_Ar52383470le_alt)=(nil_Ar52383470le_alt))&((rotate1249022267le_alt @ (cons_A1142416030le_alt @ X438 @ X439))=(append1092755459le_alt @ X439 @ (cons_A1142416030le_alt @ X438 @ nil_Ar52383470le_alt))))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_442_rotate__simps)). 132.32/23.61 thf(fact_433_snoc__eq__iff__butlast, axiom, ![X290:list_A1402527603le_alt, X291:arrow_1389031998le_alt, X292:list_A1402527603le_alt]:((((((butlas1188620858le_alt @ X292)=(X290))&((last_A2130988295le_alt @ X292)=(X291)))&((X292)!=(nil_Ar52383470le_alt)))<=>((append1092755459le_alt @ X290 @ (cons_A1142416030le_alt @ X291 @ nil_Ar52383470le_alt))=(X292)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_433_snoc__eq__iff__butlast)). 132.32/23.61 thf(fact_708_distinct_Osimps_I2_J, axiom, ![X547:arrow_1389031998le_alt, X548:list_A1402527603le_alt]:(((~((member998036369le_alt @ X547 @ (set_Ar1491127311le_alt @ X548)))&(distin1149997281le_alt @ X548))<=>(distin1149997281le_alt @ (cons_A1142416030le_alt @ X547 @ X548)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_708_distinct_Osimps_I2_J)). 132.32/23.61 thf(fact_462_distinct1__rotate, axiom, ![X666:list_A1402527603le_alt]:(((distin1149997281le_alt @ (rotate1249022267le_alt @ X666))<=>(distin1149997281le_alt @ X666))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_462_distinct1__rotate)). 132.32/23.61 thf(fact_725_last__in__set, axiom, ![X1236:list_A1402527603le_alt]:((((X1236)!=(nil_Ar52383470le_alt))=>(member998036369le_alt @ (last_A2130988295le_alt @ X1236) @ (set_Ar1491127311le_alt @ X1236)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_725_last__in__set)). 132.32/23.61 thf(fact_423_last__snoc, axiom, ![X1281:list_A1402527603le_alt, X1282:arrow_1389031998le_alt]:(((last_A2130988295le_alt @ (append1092755459le_alt @ X1281 @ (cons_A1142416030le_alt @ X1282 @ nil_Ar52383470le_alt)))=(X1282))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_423_last__snoc)). 132.32/23.61 thf(fact_628_rev_Osimps_I2_J, axiom, ![X2073:arrow_1389031998le_alt, X2074:list_A1402527603le_alt]:(((rev_Ar2020079950le_alt @ (cons_A1142416030le_alt @ X2073 @ X2074))=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X2074) @ (cons_A1142416030le_alt @ X2073 @ nil_Ar52383470le_alt)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_628_rev_Osimps_I2_J)). 132.32/23.61 thf(fact_343_distinct__butlast, axiom, ![X21:list_A1402527603le_alt]:((((X21)!=(nil_Ar52383470le_alt))=>((distin1149997281le_alt @ (butlas1188620858le_alt @ X21))<=(distin1149997281le_alt @ X21)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_343_distinct__butlast)). 132.32/23.61 thf(fact_623_rev__singleton__conv, axiom, ![X2893:list_A1402527603le_alt, X2894:arrow_1389031998le_alt]:((((rev_Ar2020079950le_alt @ X2893)=(cons_A1142416030le_alt @ X2894 @ nil_Ar52383470le_alt))<=>((X2893)=(cons_A1142416030le_alt @ X2894 @ nil_Ar52383470le_alt)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_623_rev__singleton__conv)). 132.32/23.61 thf(fact_629_rev__eq__Cons__iff, axiom, ![X2075:list_A1402527603le_alt, X2076:arrow_1389031998le_alt, X2077:list_A1402527603le_alt]:((((rev_Ar2020079950le_alt @ X2075)=(cons_A1142416030le_alt @ X2076 @ X2077))<=>((X2075)=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X2077) @ (cons_A1142416030le_alt @ X2076 @ nil_Ar52383470le_alt))))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_629_rev__eq__Cons__iff)). 132.32/23.61 thf(fact_615_distinct__rev, axiom, ![X3119:list_A1402527603le_alt]:(((distin1149997281le_alt @ X3119)<=>(distin1149997281le_alt @ (rev_Ar2020079950le_alt @ X3119)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_615_distinct__rev)). 132.32/23.61 thf(fact_422_butlast__snoc, axiom, ![X2821:list_A1402527603le_alt, X2822:arrow_1389031998le_alt]:(((butlas1188620858le_alt @ (append1092755459le_alt @ X2821 @ (cons_A1142416030le_alt @ X2822 @ nil_Ar52383470le_alt)))=(X2821))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_422_butlast__snoc)). 132.32/23.61 thf(fact_605_rev_Osimps_I1_J, axiom, ((rev_Ar2020079950le_alt @ nil_Ar52383470le_alt)=(nil_Ar52383470le_alt)), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_605_rev_Osimps_I1_J)). 132.32/23.61 thf(fact_697_set__rotate1, axiom, ![X1590:list_A1402527603le_alt]:(((set_Ar1491127311le_alt @ (rotate1249022267le_alt @ X1590))=(set_Ar1491127311le_alt @ X1590))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_697_set__rotate1)). 132.32/23.61 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/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_4_dist)). 132.32/23.61 thf(fact_689_in__set__butlastD, axiom, ![X193:arrow_1389031998le_alt, X194:list_A1402527603le_alt]:(((member998036369le_alt @ X193 @ (set_Ar1491127311le_alt @ (butlas1188620858le_alt @ X194)))=>(member998036369le_alt @ X193 @ (set_Ar1491127311le_alt @ X194)))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_689_in__set__butlastD)). 132.32/23.61 thf(fact_602_rev__rev__ident, axiom, ![X2313:list_A1402527603le_alt]:(((rev_Ar2020079950le_alt @ (rev_Ar2020079950le_alt @ X2313))=(X2313))), file('/export/starexec/sandbox/tmp/tmp.8mhDadviCW/E---3.1_30624.p', fact_602_rev__rev__ident)). 132.32/23.61 thf(c_0_25, plain, ![X1552:arrow_1196572341e_indi, X1553:arrow_1196572341e_indi > produc1572197287le_alt > $o, X1554:arrow_1196572341e_indi > $o, X1555:arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]:(((member822980838_alt_o @ X1553 @ (pi_Arr1309696186_alt_o @ X1554 @ X1555))=>((member1818997282e_indi @ X1552 @ X1554)=>(member1241905979_alt_o @ (X1553 @ X1552) @ (X1555 @ X1552))))), inference(fof_simplification,[status(thm)],[fact_179_Pi__mem])). 132.32/23.61 thf(c_0_26, plain, ![X563:arrow_1389031998le_alt, X564:arrow_1389031998le_alt, X434:produc1572197287le_alt > $o, X565:arrow_1389031998le_alt, X566:arrow_1389031998le_alt]:((((X565)!=(X566))=>((member1241905979_alt_o @ X434 @ arrow_1982173296le_Lin)=>((((((X564)!=(X565))=>((((X563)!=(X565))=>(member285112084le_alt @ (produc897867031le_alt @ X563 @ X564) @ X434))&(((X563)=(X565))=>(((X564)=(X566))|(member285112084le_alt @ (produc897867031le_alt @ X566 @ X564) @ X434)))))&(((X564)=(X565))=>(member285112084le_alt @ (produc897867031le_alt @ X563 @ X566) @ X434)))&((X563)!=(X564)))<=>(member285112084le_alt @ (produc897867031le_alt @ X563 @ X564) @ (arrow_1865170000_below @ X434 @ X565 @ X566)))))), inference(fof_simplification,[status(thm)],[fact_12_in__below])). 132.32/23.61 thf(c_0_27, negated_conjecture, ~(![X321:arrow_1196572341e_indi]:(((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ X321))<=>(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (arrow_1865170000_below @ (p @ X321) @ c @ b))))), inference(assume_negation,[status(cth)],[conj_0])). 132.32/23.61 thf(c_0_28, plain, ![X4014:arrow_1196572341e_indi, X4015:arrow_1196572341e_indi > produc1572197287le_alt > $o, X4016:arrow_1196572341e_indi > $o, X4017:arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]:((~(member822980838_alt_o @ X4015 @ (pi_Arr1309696186_alt_o @ X4016 @ X4017))|(~(member1818997282e_indi @ X4014 @ X4016)|(member1241905979_alt_o @ (X4015 @ X4014) @ (X4017 @ X4014))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])). 132.32/23.61 thf(c_0_29, 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])). 132.32/23.61 thf(c_0_30, plain, ![X4305:arrow_1196572341e_indi]:(((epred10_0 @ X4305)=(arrow_1982173296le_Lin))), introduced(definition)). 132.32/23.61 thf(c_0_31, plain, ![X4053:arrow_1196572341e_indi]:((member1818997282e_indi @ X4053 @ top_to54564308indi_o)), inference(variable_rename,[status(thm)],[fact_367_iso__tuple__UNIV__I])). 132.32/23.61 thf(c_0_32, plain, ![X3748:arrow_1389031998le_alt, X3749:arrow_1389031998le_alt, X3750:produc1572197287le_alt > $o, X3751:arrow_1389031998le_alt, X3752:arrow_1389031998le_alt]:(((((((X3749)=(X3751))|((X3749)!=(X3751))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752)))&(~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3752) @ X3750)|((X3749)!=(X3751))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752))))&((((((X3749)=(X3751))|(((X3748)=(X3751))|((X3748)!=(X3751)))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752)))&(~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3752) @ X3750)|(((X3748)=(X3751))|((X3748)!=(X3751)))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752))))&(((((X3749)=(X3751))|(((X3749)!=(X3752))|((X3748)!=(X3751)))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752)))&(~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3752) @ X3750)|(((X3749)!=(X3752))|((X3748)!=(X3751)))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752))))&((((X3749)=(X3751))|(~(member285112084le_alt @ (produc897867031le_alt @ X3752 @ X3749) @ X3750)|((X3748)!=(X3751)))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752)))&(~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3752) @ X3750)|(~(member285112084le_alt @ (produc897867031le_alt @ X3752 @ X3749) @ X3750)|((X3748)!=(X3751)))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752))))))&(((((X3749)=(X3751))|(((X3748)=(X3751))|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ X3750))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752)))&(~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3752) @ X3750)|(((X3748)=(X3751))|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ X3750))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752))))&(((((X3749)=(X3751))|(((X3749)!=(X3752))|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ X3750))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752)))&(~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3752) @ X3750)|(((X3749)!=(X3752))|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ X3750))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752))))&((((X3749)=(X3751))|(~(member285112084le_alt @ (produc897867031le_alt @ X3752 @ X3749) @ X3750)|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ X3750))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752)))&(~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3752) @ X3750)|(~(member285112084le_alt @ (produc897867031le_alt @ X3752 @ X3749) @ X3750)|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ X3750))|((X3748)=(X3749))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752))))))))&((((((X3748)=(X3751))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ X3750)|((X3749)=(X3751))|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752)))&(((X3748)!=(X3751))|(((X3749)=(X3752))|(member285112084le_alt @ (produc897867031le_alt @ X3752 @ X3749) @ X3750))|((X3749)=(X3751))|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752))))&(((X3749)!=(X3751))|(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3752) @ X3750)|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752))))&(((X3748)!=(X3749))|~(member285112084le_alt @ (produc897867031le_alt @ X3748 @ X3749) @ (arrow_1865170000_below @ X3750 @ X3751 @ X3752))|~(member1241905979_alt_o @ X3750 @ arrow_1982173296le_Lin)|((X3751)=(X3752)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])). 132.32/23.61 thf(c_0_33, 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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])). 132.32/23.61 thf(c_0_34, plain, ![X4345:arrow_1196572341e_indi]:(((epred8_0 @ X4345)=(arrow_1865170000_below @ (p @ X4345) @ c @ b))), inference(variable_rename,[status(thm)],[])). 132.32/23.61 thf(c_0_35, plain, ((a)!=(b)), inference(fof_simplification,[status(thm)],[fact_3__096a_A_126_061_Ab_096])). 132.32/23.61 thf(c_0_36, plain, ![X4343:arrow_1196572341e_indi]:(((epred10_0 @ X4343)=(arrow_1982173296le_Lin))), inference(variable_rename,[status(thm)],[])). 132.32/23.61 thf(c_0_37, plain, ![X155:arrow_1196572341e_indi > produc1572197287le_alt > $o, X1555:arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o, X69:arrow_1196572341e_indi, X68:arrow_1196572341e_indi > $o]:(((member1241905979_alt_o @ (X155 @ X69) @ (X1555 @ X69))|~((member822980838_alt_o @ X155 @ (pi_Arr1309696186_alt_o @ X68 @ X1555)))|~((member1818997282e_indi @ X69 @ X68)))), inference(split_conjunct,[status(thm)],[c_0_28])). 132.32/23.61 thf(c_0_38, plain, ((arrow_1647925946e_Prof)=(pi_Arr1309696186_alt_o @ top_to54564308indi_o @ epred10_0)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_29]), c_0_30])). 132.32/23.61 thf(c_0_39, plain, ![X69:arrow_1196572341e_indi]:((member1818997282e_indi @ X69 @ top_to54564308indi_o)), inference(split_conjunct,[status(thm)],[c_0_31])). 132.32/23.61 thf(c_0_40, plain, ![X1:arrow_1389031998le_alt, X57:arrow_1389031998le_alt, X56:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X30:produc1572197287le_alt > $o]:((((X1)=(X41))|((X57)=(X1))|(member285112084le_alt @ (produc897867031le_alt @ X57 @ X1) @ (arrow_1865170000_below @ X30 @ X41 @ X56))|((X41)=(X56))|((X1)!=(X56))|~((member285112084le_alt @ (produc897867031le_alt @ X57 @ X1) @ X30))|~((member1241905979_alt_o @ X30 @ arrow_1982173296le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_32])). 132.32/23.61 thf(c_0_41, 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_33])). 132.32/23.61 thf(c_0_42, plain, ![X69:arrow_1196572341e_indi]:(((epred8_0 @ X69)=(arrow_1865170000_below @ (p @ X69) @ c @ b))), inference(split_conjunct,[status(thm)],[c_0_34])). 132.32/23.61 thf(c_0_43, plain, ((a)!=(b)), inference(fof_nnf,[status(thm)],[c_0_35])). 132.32/23.61 thf(c_0_44, plain, ![X69:arrow_1196572341e_indi]:(((epred10_0 @ X69)=(arrow_1982173296le_Lin))), inference(split_conjunct,[status(thm)],[c_0_36])). 132.32/23.61 thf(c_0_45, plain, ![X3789:produc1572197287le_alt > $o, X3790:(produc1572197287le_alt > $o) > $o]:(((~(member1241905979_alt_o @ X3789 @ X3790)|(X3790 @ X3789))&(~(X3790 @ X3789)|(member1241905979_alt_o @ X3789 @ X3790)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_321_mem__def])])])). 132.32/23.61 thf(c_0_46, plain, ![X69:arrow_1196572341e_indi, X155:arrow_1196572341e_indi > produc1572197287le_alt > $o]:(((member1241905979_alt_o @ (X155 @ X69) @ (epred10_0 @ X69))|~((member822980838_alt_o @ X155 @ arrow_1647925946e_Prof)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])])). 132.32/23.61 thf(c_0_47, plain, (member822980838_alt_o @ p @ arrow_1647925946e_Prof), inference(split_conjunct,[status(thm)],[fact_0__096P_A_058_AProf_096])). 132.32/23.61 thf(c_0_48, plain, ![X1:arrow_1389031998le_alt, X56:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X30:produc1572197287le_alt > $o]:((((X1)=(X41))|((X1)=(X56))|(member285112084le_alt @ (produc897867031le_alt @ X41 @ X1) @ (arrow_1865170000_below @ X30 @ X56 @ X1))|~((member285112084le_alt @ (produc897867031le_alt @ X41 @ X1) @ X30))|~((member1241905979_alt_o @ X30 @ arrow_1982173296le_Lin)))), inference(er,[status(thm)],[c_0_40])). 132.32/23.61 thf(c_0_49, negated_conjecture, ((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred8_0 @ esk1_0))), inference(rw,[status(thm)],[c_0_41, c_0_42])). 132.32/23.61 thf(c_0_50, plain, ((a)!=(b)), inference(split_conjunct,[status(thm)],[c_0_43])). 132.32/23.61 thf(c_0_51, plain, ![X69:arrow_1196572341e_indi, X4348:produc1572197287le_alt > $o]:(((epred10_0 @ X69 @ X4348)<=>(arrow_1982173296le_Lin @ X4348))), inference(arg_cong,[status(thm)],[c_0_44])). 132.32/23.61 thf(c_0_52, plain, ![X30:produc1572197287le_alt > $o, X29:(produc1572197287le_alt > $o) > $o]:(((X29 @ X30)|~((member1241905979_alt_o @ X30 @ X29)))), inference(split_conjunct,[status(thm)],[c_0_45])). 132.32/23.61 thf(c_0_53, plain, ![X69:arrow_1196572341e_indi]:((member1241905979_alt_o @ (p @ X69) @ (epred10_0 @ X69))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 132.32/23.61 thf(c_0_54, negated_conjecture, ![X1:arrow_1389031998le_alt]:((((b)=(X1))|(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (arrow_1865170000_below @ (p @ esk1_0) @ X1 @ b))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred8_0 @ esk1_0))|~((member1241905979_alt_o @ (p @ esk1_0) @ arrow_1982173296le_Lin)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50])). 132.32/23.61 thf(c_0_55, plain, ![X29:(produc1572197287le_alt > $o) > $o, X30:produc1572197287le_alt > $o]:(((member1241905979_alt_o @ X30 @ X29)|~((X29 @ X30)))), inference(split_conjunct,[status(thm)],[c_0_45])). 132.32/23.61 thf(c_0_56, plain, ![X69:arrow_1196572341e_indi, X30:produc1572197287le_alt > $o]:(((arrow_1982173296le_Lin @ X30)|~((epred10_0 @ X69 @ X30)))), inference(dynamic_cnf,[status(thm)],[c_0_51])). 132.32/23.61 thf(c_0_57, plain, ![X69:arrow_1196572341e_indi]:((epred10_0 @ X69 @ (p @ X69))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 132.32/23.61 thf(c_0_58, plain, ![X4173:arrow_1389031998le_alt, X4174:list_A1402527603le_alt]:((((rotate1249022267le_alt @ nil_Ar52383470le_alt)=(nil_Ar52383470le_alt))&((rotate1249022267le_alt @ (cons_A1142416030le_alt @ X4173 @ X4174))=(append1092755459le_alt @ X4174 @ (cons_A1142416030le_alt @ X4173 @ nil_Ar52383470le_alt))))), inference(variable_rename,[status(thm)],[fact_442_rotate__simps])). 132.32/23.61 thf(c_0_59, plain, ![X4328:list_A1402527603le_alt, X4329:arrow_1389031998le_alt]:(((esk91_0 @ X4329 @ X4328)=(append1092755459le_alt @ X4328 @ (cons_A1142416030le_alt @ X4329 @ nil_Ar52383470le_alt)))), inference(variable_rename,[status(thm)],[])). 132.32/23.61 thf(c_0_60, plain, ![X290:list_A1402527603le_alt, X291:arrow_1389031998le_alt, X292:list_A1402527603le_alt]:((((((butlas1188620858le_alt @ X292)=(X290))&((last_A2130988295le_alt @ X292)=(X291)))&((X292)!=(nil_Ar52383470le_alt)))<=>((append1092755459le_alt @ X290 @ (cons_A1142416030le_alt @ X291 @ nil_Ar52383470le_alt))=(X292)))), inference(fof_simplification,[status(thm)],[fact_433_snoc__eq__iff__butlast])). 132.32/23.61 thf(c_0_61, plain, ![X1:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X57:arrow_1389031998le_alt, X56:arrow_1389031998le_alt, X30:produc1572197287le_alt > $o]:(((member285112084le_alt @ (produc897867031le_alt @ X56 @ X57) @ X30)|((X41)=(X57))|((X1)!=(X41))|~((member285112084le_alt @ (produc897867031le_alt @ X56 @ X1) @ (arrow_1865170000_below @ X30 @ X41 @ X57)))|~((member1241905979_alt_o @ X30 @ arrow_1982173296le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_32])). 132.32/23.61 thf(c_0_62, negated_conjecture, ![X1:arrow_1389031998le_alt]:((((b)=(X1))|(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (arrow_1865170000_below @ (p @ esk1_0) @ X1 @ b))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred8_0 @ esk1_0))|~((arrow_1982173296le_Lin @ (p @ esk1_0))))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 132.32/23.61 thf(c_0_63, plain, ![X69:arrow_1196572341e_indi]:((arrow_1982173296le_Lin @ (p @ X69))), inference(spm,[status(thm)],[c_0_56, c_0_57])). 132.32/23.61 thf(c_0_64, plain, ![X547:arrow_1389031998le_alt, X548:list_A1402527603le_alt]:(((~(member998036369le_alt @ X547 @ (set_Ar1491127311le_alt @ X548))&(distin1149997281le_alt @ X548))<=>(distin1149997281le_alt @ (cons_A1142416030le_alt @ X547 @ X548)))), inference(fof_simplification,[status(thm)],[fact_708_distinct_Osimps_I2_J])). 132.32/23.61 thf(c_0_65, plain, ![X3808:list_A1402527603le_alt]:(((~(distin1149997281le_alt @ (rotate1249022267le_alt @ X3808))|(distin1149997281le_alt @ X3808))&(~(distin1149997281le_alt @ X3808)|(distin1149997281le_alt @ (rotate1249022267le_alt @ X3808))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_462_distinct1__rotate])])])). 132.32/23.61 thf(c_0_66, plain, ![X4:list_A1402527603le_alt, X1:arrow_1389031998le_alt]:(((rotate1249022267le_alt @ (cons_A1142416030le_alt @ X1 @ X4))=(append1092755459le_alt @ X4 @ (cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt)))), inference(split_conjunct,[status(thm)],[c_0_58])). 132.32/23.61 thf(c_0_67, plain, ![X4:list_A1402527603le_alt, X1:arrow_1389031998le_alt]:(((esk91_0 @ X1 @ X4)=(append1092755459le_alt @ X4 @ (cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt)))), inference(split_conjunct,[status(thm)],[c_0_59])). 132.32/23.61 thf(c_0_68, plain, ![X1236:list_A1402527603le_alt]:((((X1236)!=(nil_Ar52383470le_alt))=>(member998036369le_alt @ (last_A2130988295le_alt @ X1236) @ (set_Ar1491127311le_alt @ X1236)))), inference(fof_simplification,[status(thm)],[fact_725_last__in__set])). 132.32/23.61 thf(c_0_69, plain, ![X4294:list_A1402527603le_alt, X4295:arrow_1389031998le_alt]:(((last_A2130988295le_alt @ (append1092755459le_alt @ X4294 @ (cons_A1142416030le_alt @ X4295 @ nil_Ar52383470le_alt)))=(X4295))), inference(variable_rename,[status(thm)],[fact_423_last__snoc])). 132.32/23.61 thf(c_0_70, plain, ![X4093:list_A1402527603le_alt, X4094:arrow_1389031998le_alt, X4095:list_A1402527603le_alt]:(((((butlas1188620858le_alt @ X4095)!=(X4093))|((last_A2130988295le_alt @ X4095)!=(X4094))|((X4095)=(nil_Ar52383470le_alt))|((append1092755459le_alt @ X4093 @ (cons_A1142416030le_alt @ X4094 @ nil_Ar52383470le_alt))=(X4095)))&(((((butlas1188620858le_alt @ X4095)=(X4093))|((append1092755459le_alt @ X4093 @ (cons_A1142416030le_alt @ X4094 @ nil_Ar52383470le_alt))!=(X4095)))&(((last_A2130988295le_alt @ X4095)=(X4094))|((append1092755459le_alt @ X4093 @ (cons_A1142416030le_alt @ X4094 @ nil_Ar52383470le_alt))!=(X4095))))&(((X4095)!=(nil_Ar52383470le_alt))|((append1092755459le_alt @ X4093 @ (cons_A1142416030le_alt @ X4094 @ nil_Ar52383470le_alt))!=(X4095)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])])). 132.32/23.61 thf(c_0_71, plain, ![X4211:arrow_1389031998le_alt, X4212:list_A1402527603le_alt]:(((rev_Ar2020079950le_alt @ (cons_A1142416030le_alt @ X4211 @ X4212))=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X4212) @ (cons_A1142416030le_alt @ X4211 @ nil_Ar52383470le_alt)))), inference(variable_rename,[status(thm)],[fact_628_rev_Osimps_I2_J])). 132.32/23.61 thf(c_0_72, plain, ![X1:arrow_1389031998le_alt, X56:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X30:produc1572197287le_alt > $o]:((((X1)=(X41))|(member285112084le_alt @ (produc897867031le_alt @ X56 @ X41) @ X30)|~((member285112084le_alt @ (produc897867031le_alt @ X56 @ X1) @ (arrow_1865170000_below @ X30 @ X1 @ X41)))|~((member1241905979_alt_o @ X30 @ arrow_1982173296le_Lin)))), inference(er,[status(thm)],[c_0_61])). 132.32/23.61 thf(c_0_73, plain, ![X69:arrow_1196572341e_indi]:((member1241905979_alt_o @ (p @ X69) @ arrow_1982173296le_Lin)), inference(spm,[status(thm)],[c_0_53, c_0_44])). 132.32/23.61 thf(c_0_74, negated_conjecture, ![X1:arrow_1389031998le_alt]:((((b)=(X1))|(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (arrow_1865170000_below @ (p @ esk1_0) @ X1 @ b))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred8_0 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])). 132.32/23.61 thf(c_0_75, plain, ![X3806:arrow_1389031998le_alt, X3807:list_A1402527603le_alt]:((((member998036369le_alt @ X3806 @ (set_Ar1491127311le_alt @ X3807))|~(distin1149997281le_alt @ X3807)|(distin1149997281le_alt @ (cons_A1142416030le_alt @ X3806 @ X3807)))&((~(member998036369le_alt @ X3806 @ (set_Ar1491127311le_alt @ X3807))|~(distin1149997281le_alt @ (cons_A1142416030le_alt @ X3806 @ X3807)))&((distin1149997281le_alt @ X3807)|~(distin1149997281le_alt @ (cons_A1142416030le_alt @ X3806 @ X3807)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])])). 132.32/23.61 thf(c_0_76, plain, ![X4:list_A1402527603le_alt]:(((distin1149997281le_alt @ X4)|~((distin1149997281le_alt @ (rotate1249022267le_alt @ X4))))), inference(split_conjunct,[status(thm)],[c_0_65])). 132.32/23.61 thf(c_0_77, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(((rotate1249022267le_alt @ (cons_A1142416030le_alt @ X1 @ X4))=(esk91_0 @ X1 @ X4))), inference(rw,[status(thm)],[c_0_66, c_0_67])). 132.32/23.61 thf(c_0_78, plain, ![X4142:list_A1402527603le_alt]:((((X4142)=(nil_Ar52383470le_alt))|(member998036369le_alt @ (last_A2130988295le_alt @ X4142) @ (set_Ar1491127311le_alt @ X4142)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])). 132.32/23.61 thf(c_0_79, plain, ![X4:list_A1402527603le_alt, X1:arrow_1389031998le_alt]:(((last_A2130988295le_alt @ (append1092755459le_alt @ X4 @ (cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt)))=(X1))), inference(split_conjunct,[status(thm)],[c_0_69])). 132.32/23.61 thf(c_0_80, plain, ![X1:arrow_1389031998le_alt, X6:list_A1402527603le_alt, X4:list_A1402527603le_alt]:((((X4)!=(nil_Ar52383470le_alt))|((append1092755459le_alt @ X6 @ (cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt))!=(X4)))), inference(split_conjunct,[status(thm)],[c_0_70])). 132.32/23.61 thf(c_0_81, plain, ![X21:list_A1402527603le_alt]:((((X21)!=(nil_Ar52383470le_alt))=>((distin1149997281le_alt @ X21)=>(distin1149997281le_alt @ (butlas1188620858le_alt @ X21))))), inference(fof_simplification,[status(thm)],[fact_343_distinct__butlast])). 132.32/23.61 thf(c_0_82, plain, ![X4255:list_A1402527603le_alt, X4256:arrow_1389031998le_alt]:(((((rev_Ar2020079950le_alt @ X4255)!=(cons_A1142416030le_alt @ X4256 @ nil_Ar52383470le_alt))|((X4255)=(cons_A1142416030le_alt @ X4256 @ nil_Ar52383470le_alt)))&(((X4255)!=(cons_A1142416030le_alt @ X4256 @ nil_Ar52383470le_alt))|((rev_Ar2020079950le_alt @ X4255)=(cons_A1142416030le_alt @ X4256 @ nil_Ar52383470le_alt))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_623_rev__singleton__conv])])])). 132.32/23.61 thf(c_0_83, plain, ![X4:list_A1402527603le_alt, X1:arrow_1389031998le_alt]:(((rev_Ar2020079950le_alt @ (cons_A1142416030le_alt @ X1 @ X4))=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X4) @ (cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt)))), inference(split_conjunct,[status(thm)],[c_0_71])). 132.32/23.61 thf(c_0_84, plain, ![X1:arrow_1389031998le_alt, X57:arrow_1389031998le_alt, X56:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X30:produc1572197287le_alt > $o]:((((X1)=(X41))|((X56)=(X41))|((X56)=(X1))|(member285112084le_alt @ (produc897867031le_alt @ X56 @ X1) @ (arrow_1865170000_below @ X30 @ X41 @ X57))|((X41)=(X57))|~((member285112084le_alt @ (produc897867031le_alt @ X56 @ X1) @ X30))|~((member1241905979_alt_o @ X30 @ arrow_1982173296le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_32])). 132.32/23.61 thf(c_0_85, plain, ![X1:arrow_1389031998le_alt, X69:arrow_1196572341e_indi]:((((c)=(b))|(member285112084le_alt @ (produc897867031le_alt @ X1 @ b) @ (p @ X69))|~((member285112084le_alt @ (produc897867031le_alt @ X1 @ c) @ (epred8_0 @ X69))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_42]), c_0_73])])). 132.32/23.61 thf(c_0_86, plain, (((c)=(b))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred8_0 @ esk1_0))|(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (epred8_0 @ esk1_0))), inference(spm,[status(thm)],[c_0_74, c_0_42])). 132.32/23.61 thf(c_0_87, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:((~((member998036369le_alt @ X1 @ (set_Ar1491127311le_alt @ X4)))|~((distin1149997281le_alt @ (cons_A1142416030le_alt @ X1 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_75])). 132.32/23.61 thf(c_0_88, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(((distin1149997281le_alt @ (cons_A1142416030le_alt @ X1 @ X4))|~((distin1149997281le_alt @ (esk91_0 @ X1 @ X4))))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 132.32/23.61 thf(c_0_89, plain, ![X4:list_A1402527603le_alt]:((((X4)=(nil_Ar52383470le_alt))|(member998036369le_alt @ (last_A2130988295le_alt @ X4) @ (set_Ar1491127311le_alt @ X4)))), inference(split_conjunct,[status(thm)],[c_0_78])). 132.32/23.61 thf(c_0_90, plain, ![X4:list_A1402527603le_alt, X1:arrow_1389031998le_alt]:(((last_A2130988295le_alt @ (esk91_0 @ X1 @ X4))=(X1))), inference(rw,[status(thm)],[c_0_79, c_0_67])). 132.32/23.61 thf(c_0_91, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(((esk91_0 @ X1 @ X4)!=(nil_Ar52383470le_alt))), inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_80]), c_0_67])). 132.32/23.61 thf(c_0_92, plain, ![X4213:list_A1402527603le_alt, X4214:arrow_1389031998le_alt, X4215:list_A1402527603le_alt]:(((((rev_Ar2020079950le_alt @ X4213)!=(cons_A1142416030le_alt @ X4214 @ X4215))|((X4213)=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X4215) @ (cons_A1142416030le_alt @ X4214 @ nil_Ar52383470le_alt))))&(((X4213)!=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X4215) @ (cons_A1142416030le_alt @ X4214 @ nil_Ar52383470le_alt)))|((rev_Ar2020079950le_alt @ X4213)=(cons_A1142416030le_alt @ X4214 @ X4215))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_629_rev__eq__Cons__iff])])])). 132.32/23.61 thf(c_0_93, plain, ![X3801:list_A1402527603le_alt]:((((X3801)=(nil_Ar52383470le_alt))|(~(distin1149997281le_alt @ X3801)|(distin1149997281le_alt @ (butlas1188620858le_alt @ X3801))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])). 132.32/23.61 thf(c_0_94, plain, ![X3827:list_A1402527603le_alt]:(((~(distin1149997281le_alt @ X3827)|(distin1149997281le_alt @ (rev_Ar2020079950le_alt @ X3827)))&(~(distin1149997281le_alt @ (rev_Ar2020079950le_alt @ X3827))|(distin1149997281le_alt @ X3827)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_615_distinct__rev])])])). 132.32/23.61 thf(c_0_95, plain, ![X4107:list_A1402527603le_alt, X4108:arrow_1389031998le_alt]:(((butlas1188620858le_alt @ (append1092755459le_alt @ X4107 @ (cons_A1142416030le_alt @ X4108 @ nil_Ar52383470le_alt)))=(X4107))), inference(variable_rename,[status(thm)],[fact_422_butlast__snoc])). 132.32/23.61 thf(c_0_96, plain, ![X4:list_A1402527603le_alt, X1:arrow_1389031998le_alt]:((((rev_Ar2020079950le_alt @ X4)=(cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt))|((X4)!=(cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt)))), inference(split_conjunct,[status(thm)],[c_0_82])). 132.32/23.61 thf(c_0_97, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(((rev_Ar2020079950le_alt @ (cons_A1142416030le_alt @ X1 @ X4))=(esk91_0 @ X1 @ (rev_Ar2020079950le_alt @ X4)))), inference(rw,[status(thm)],[c_0_83, c_0_67])). 132.32/23.61 thf(c_0_98, plain, ((rev_Ar2020079950le_alt @ nil_Ar52383470le_alt)=(nil_Ar52383470le_alt)), inference(split_conjunct,[status(thm)],[fact_605_rev_Osimps_I1_J])). 132.32/23.61 thf(c_0_99, plain, ![X4176:list_A1402527603le_alt]:(((set_Ar1491127311le_alt @ (rotate1249022267le_alt @ X4176))=(set_Ar1491127311le_alt @ X4176))), inference(variable_rename,[status(thm)],[fact_697_set__rotate1])). 132.32/23.61 thf(c_0_100, plain, ![X1:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X57:arrow_1389031998le_alt, X56:arrow_1389031998le_alt, X30:produc1572197287le_alt > $o]:((((X1)=(X41))|(member285112084le_alt @ (produc897867031le_alt @ X1 @ X56) @ X30)|((X56)=(X41))|((X41)=(X57))|~((member285112084le_alt @ (produc897867031le_alt @ X1 @ X56) @ (arrow_1865170000_below @ X30 @ X41 @ X57)))|~((member1241905979_alt_o @ X30 @ arrow_1982173296le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_32])). 132.32/23.61 thf(c_0_101, plain, ![X1:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X69:arrow_1196572341e_indi]:((((c)=(b))|((c)=(X1))|((X41)=(c))|((X41)=(X1))|(member285112084le_alt @ (produc897867031le_alt @ X1 @ X41) @ (epred8_0 @ X69))|~((member285112084le_alt @ (produc897867031le_alt @ X1 @ X41) @ (p @ X69))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_42]), c_0_73])])). 132.32/23.61 thf(c_0_102, plain, (((c)=(b))|(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (epred8_0 @ esk1_0))|(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0))), inference(spm,[status(thm)],[c_0_85, c_0_86])). 132.32/23.61 thf(c_0_103, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:((~((member998036369le_alt @ X1 @ (set_Ar1491127311le_alt @ X4)))|~((distin1149997281le_alt @ (esk91_0 @ X1 @ X4))))), inference(spm,[status(thm)],[c_0_87, c_0_88])). 132.32/23.61 thf(c_0_104, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:((member998036369le_alt @ X1 @ (set_Ar1491127311le_alt @ (esk91_0 @ X1 @ X4)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_91])). 132.32/23.61 thf(c_0_105, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt, X6:list_A1402527603le_alt]:((((X4)=(append1092755459le_alt @ (rev_Ar2020079950le_alt @ X6) @ (cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt)))|((rev_Ar2020079950le_alt @ X4)!=(cons_A1142416030le_alt @ X1 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_92])). 132.32/23.61 thf(c_0_106, plain, ![X4:list_A1402527603le_alt]:((((X4)=(nil_Ar52383470le_alt))|(distin1149997281le_alt @ (butlas1188620858le_alt @ X4))|~((distin1149997281le_alt @ X4)))), inference(split_conjunct,[status(thm)],[c_0_93])). 132.32/23.61 thf(c_0_107, plain, ![X4:list_A1402527603le_alt]:(((distin1149997281le_alt @ (rev_Ar2020079950le_alt @ X4))|~((distin1149997281le_alt @ X4)))), inference(split_conjunct,[status(thm)],[c_0_94])). 132.32/23.61 thf(c_0_108, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(((butlas1188620858le_alt @ (append1092755459le_alt @ X4 @ (cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt)))=(X4))), inference(split_conjunct,[status(thm)],[c_0_95])). 132.32/23.61 thf(c_0_109, 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])). 132.32/23.61 thf(c_0_110, plain, ![X1:arrow_1389031998le_alt]:(((cons_A1142416030le_alt @ X1 @ nil_Ar52383470le_alt)=(esk91_0 @ X1 @ nil_Ar52383470le_alt))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_96]), c_0_97]), c_0_98])). 132.32/23.61 thf(c_0_111, plain, ![X4:list_A1402527603le_alt]:(((set_Ar1491127311le_alt @ (rotate1249022267le_alt @ X4))=(set_Ar1491127311le_alt @ X4))), inference(split_conjunct,[status(thm)],[c_0_99])). 132.32/23.61 thf(c_0_112, plain, ![X4091:arrow_1389031998le_alt, X4092:list_A1402527603le_alt]:((~(member998036369le_alt @ X4091 @ (set_Ar1491127311le_alt @ (butlas1188620858le_alt @ X4092)))|(member998036369le_alt @ X4091 @ (set_Ar1491127311le_alt @ X4092)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_689_in__set__butlastD])])])). 132.32/23.61 thf(c_0_113, plain, ![X1:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X57:arrow_1389031998le_alt, X56:arrow_1389031998le_alt, X30:produc1572197287le_alt > $o]:((((X1)=(X56))|(member285112084le_alt @ (produc897867031le_alt @ X1 @ X56) @ (arrow_1865170000_below @ X30 @ X57 @ X41))|((X57)=(X41))|~((member285112084le_alt @ (produc897867031le_alt @ X1 @ X41) @ X30))|((X56)!=(X57))|~((member1241905979_alt_o @ X30 @ arrow_1982173296le_Lin)))), inference(split_conjunct,[status(thm)],[c_0_32])). 132.32/23.61 thf(c_0_114, 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_33])). 132.32/23.61 thf(c_0_115, plain, ![X1:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X69:arrow_1196572341e_indi]:((((c)=(b))|((c)=(X1))|((X41)=(c))|(member285112084le_alt @ (produc897867031le_alt @ X41 @ X1) @ (p @ X69))|~((member285112084le_alt @ (produc897867031le_alt @ X41 @ X1) @ (epred8_0 @ X69))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_42]), c_0_73])])). 132.32/23.61 thf(c_0_116, plain, (((c)=(a))|((c)=(b))|(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (epred8_0 @ esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_50])). 132.32/23.61 thf(c_0_117, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(~((distin1149997281le_alt @ (esk91_0 @ X1 @ (esk91_0 @ X1 @ X4))))), inference(spm,[status(thm)],[c_0_103, c_0_104])). 132.32/23.61 thf(c_0_118, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt, X6:list_A1402527603le_alt]:((((X4)=(esk91_0 @ X1 @ (rev_Ar2020079950le_alt @ X6)))|((rev_Ar2020079950le_alt @ X4)!=(cons_A1142416030le_alt @ X1 @ X6)))), inference(rw,[status(thm)],[c_0_105, c_0_67])). 132.32/23.61 thf(c_0_119, plain, ![X4:list_A1402527603le_alt]:((((rev_Ar2020079950le_alt @ X4)=(nil_Ar52383470le_alt))|(distin1149997281le_alt @ (butlas1188620858le_alt @ (rev_Ar2020079950le_alt @ X4)))|~((distin1149997281le_alt @ X4)))), inference(spm,[status(thm)],[c_0_106, c_0_107])). 132.32/23.61 thf(c_0_120, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(((butlas1188620858le_alt @ (esk91_0 @ X1 @ X4))=(X4))), inference(rw,[status(thm)],[c_0_108, c_0_67])). 132.32/23.61 thf(c_0_121, plain, ![X4254:list_A1402527603le_alt]:(((rev_Ar2020079950le_alt @ (rev_Ar2020079950le_alt @ X4254))=(X4254))), inference(variable_rename,[status(thm)],[fact_602_rev__rev__ident])). 132.32/23.61 thf(c_0_122, plain, ~((member998036369le_alt @ a @ (set_Ar1491127311le_alt @ (cons_A1142416030le_alt @ b @ (esk91_0 @ c @ nil_Ar52383470le_alt))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_109]), c_0_110])). 132.32/23.61 thf(c_0_123, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(((set_Ar1491127311le_alt @ (cons_A1142416030le_alt @ X1 @ X4))=(set_Ar1491127311le_alt @ (esk91_0 @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_111, c_0_77])). 132.32/23.61 thf(c_0_124, plain, ![X1:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(((member998036369le_alt @ X1 @ (set_Ar1491127311le_alt @ X4))|~((member998036369le_alt @ X1 @ (set_Ar1491127311le_alt @ (butlas1188620858le_alt @ X4)))))), inference(split_conjunct,[status(thm)],[c_0_112])). 132.32/23.61 thf(c_0_125, plain, ![X1:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X56:arrow_1389031998le_alt, X30:produc1572197287le_alt > $o]:((((X1)=(X41))|((X56)=(X41))|(member285112084le_alt @ (produc897867031le_alt @ X56 @ X41) @ (arrow_1865170000_below @ X30 @ X41 @ X1))|~((member285112084le_alt @ (produc897867031le_alt @ X56 @ X1) @ X30))|~((member1241905979_alt_o @ X30 @ arrow_1982173296le_Lin)))), inference(er,[status(thm)],[c_0_113])). 132.32/23.61 thf(c_0_126, negated_conjecture, (~((member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred8_0 @ esk1_0)))|~((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0)))), inference(rw,[status(thm)],[c_0_114, c_0_42])). 132.32/23.61 thf(c_0_127, plain, (((c)=(a))|((c)=(b))|(member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ esk1_0))), inference(spm,[status(thm)],[c_0_115, c_0_116])). 132.32/23.61 thf(c_0_128, plain, ![X1:arrow_1389031998le_alt, X6:list_A1402527603le_alt, X4:list_A1402527603le_alt]:((((rev_Ar2020079950le_alt @ X4)!=(cons_A1142416030le_alt @ X1 @ X6))|~((distin1149997281le_alt @ (esk91_0 @ X1 @ X4))))), inference(spm,[status(thm)],[c_0_117, c_0_118])). 132.32/23.61 thf(c_0_129, plain, (distin1149997281le_alt @ (esk91_0 @ b @ (rev_Ar2020079950le_alt @ (esk91_0 @ c @ nil_Ar52383470le_alt)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_109]), c_0_110]), c_0_97]), c_0_97]), c_0_110]), c_0_97]), c_0_97]), c_0_120]), c_0_91])). 132.32/23.61 thf(c_0_130, plain, ![X4:list_A1402527603le_alt]:(((rev_Ar2020079950le_alt @ (rev_Ar2020079950le_alt @ X4))=(X4))), inference(split_conjunct,[status(thm)],[c_0_121])). 132.32/23.61 thf(c_0_131, plain, ~((member998036369le_alt @ a @ (set_Ar1491127311le_alt @ (esk91_0 @ b @ (esk91_0 @ c @ nil_Ar52383470le_alt))))), inference(rw,[status(thm)],[c_0_122, c_0_123])). 132.32/23.61 thf(c_0_132, plain, ![X1:arrow_1389031998le_alt, X41:arrow_1389031998le_alt, X4:list_A1402527603le_alt]:(((member998036369le_alt @ X1 @ (set_Ar1491127311le_alt @ (esk91_0 @ X41 @ X4)))|~((member998036369le_alt @ X1 @ (set_Ar1491127311le_alt @ X4))))), inference(spm,[status(thm)],[c_0_124, c_0_120])). 132.32/23.61 thf(c_0_133, negated_conjecture, ![X1:arrow_1389031998le_alt]:((((a)=(X1))|((b)=(X1))|(member285112084le_alt @ (produc897867031le_alt @ a @ X1) @ (arrow_1865170000_below @ (p @ esk1_0) @ X1 @ b))|(member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred8_0 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_49]), c_0_73])])). 132.32/23.61 thf(c_0_134, negated_conjecture, (((c)=(b))|((c)=(a))|~((member285112084le_alt @ (produc897867031le_alt @ a @ c) @ (epred8_0 @ esk1_0)))), inference(spm,[status(thm)],[c_0_126, c_0_127])). 132.32/23.61 thf(c_0_135, plain, ![X4:list_A1402527603le_alt]:(((cons_A1142416030le_alt @ b @ X4)!=(esk91_0 @ c @ nil_Ar52383470le_alt))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_129]), c_0_130])). 132.32/23.61 thf(c_0_136, plain, ~((member998036369le_alt @ a @ (set_Ar1491127311le_alt @ (esk91_0 @ c @ nil_Ar52383470le_alt)))), inference(spm,[status(thm)],[c_0_131, c_0_132])). 132.32/23.61 thf(c_0_137, plain, (((c)=(b))|((c)=(a))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_42]), c_0_134])). 132.32/23.61 thf(c_0_138, plain, ((esk91_0 @ c @ nil_Ar52383470le_alt)!=(esk91_0 @ b @ nil_Ar52383470le_alt)), inference(spm,[status(thm)],[c_0_135, c_0_110])). 132.32/23.61 thf(c_0_139, plain, ((c)=(b)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_104])])). 132.32/23.61 thf(c_0_140, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138, c_0_139])]), ['proof']). 132.32/23.61 # SZS output end CNFRefutation 132.32/23.61 # Parsed axioms : 1619 132.32/23.61 # Removed by relevancy pruning/SinE : 1424 132.32/23.61 # Initial clauses : 368 132.32/23.61 # Removed in clause preprocessing : 11 132.32/23.61 # Initial clauses in saturation : 357 132.32/23.61 # Processed clauses : 14265 132.32/23.61 # ...of these trivial : 149 132.32/23.61 # ...subsumed : 9842 132.32/23.61 # ...remaining for further processing : 4274 132.32/23.61 # Other redundant clauses eliminated : 24841 132.32/23.61 # Clauses deleted for lack of memory : 0 132.32/23.61 # Backward-subsumed : 200 132.32/23.61 # Backward-rewritten : 326 132.32/23.61 # Generated clauses : 482522 132.32/23.61 # ...of the previous two non-redundant : 444309 132.32/23.61 # ...aggressively subsumed : 0 132.32/23.61 # Contextual simplify-reflections : 41 132.32/23.61 # Paramodulations : 450236 132.32/23.61 # Factorizations : 6363 132.32/23.61 # NegExts : 454 132.32/23.61 # Equation resolutions : 24898 132.32/23.61 # Disequality decompositions : 0 132.32/23.61 # Total rewrite steps : 158557 132.32/23.61 # ...of those cached : 151627 132.32/23.61 # Propositional unsat checks : 0 132.32/23.61 # Propositional check models : 0 132.32/23.61 # Propositional check unsatisfiable : 0 132.32/23.61 # Propositional clauses : 0 132.32/23.61 # Propositional clauses after purity: 0 132.32/23.61 # Propositional unsat core size : 0 132.32/23.61 # Propositional preprocessing time : 0.000 132.32/23.61 # Propositional encoding time : 0.000 132.32/23.61 # Propositional solver time : 0.000 132.32/23.61 # Success case prop preproc time : 0.000 132.32/23.61 # Success case prop encoding time : 0.000 132.32/23.61 # Success case prop solver time : 0.000 132.32/23.61 # Current number of processed clauses : 3603 132.32/23.61 # Positive orientable unit clauses : 260 132.32/23.61 # Positive unorientable unit clauses: 9 132.32/23.61 # Negative unit clauses : 270 132.32/23.61 # Non-unit-clauses : 3064 132.32/23.61 # Current number of unprocessed clauses: 430070 132.32/23.61 # ...number of literals in the above : 1722008 132.32/23.61 # Current number of archived formulas : 0 132.32/23.61 # Current number of archived clauses : 604 132.32/23.61 # Clause-clause subsumption calls (NU) : 3890482 132.32/23.61 # Rec. Clause-clause subsumption calls : 905155 132.32/23.61 # Non-unit clause-clause subsumptions : 5076 132.32/23.61 # Unit Clause-clause subsumption calls : 140026 132.32/23.61 # Rewrite failures with RHS unbound : 100 132.32/23.61 # BW rewrite match attempts : 258 132.32/23.61 # BW rewrite match successes : 92 132.32/23.61 # Condensation attempts : 14265 132.32/23.61 # Condensation successes : 68 132.32/23.61 # Termbank termtop insertions : 39216405 132.32/23.61 # Search garbage collected termcells : 20444 132.32/23.61 132.32/23.61 # ------------------------------------------------- 132.32/23.61 # User time : 20.358 s 132.32/23.61 # System time : 0.409 s 132.32/23.61 # Total time : 20.766 s 132.32/23.61 # Maximum resident set size: 7652 pages 132.32/23.61 132.32/23.61 # ------------------------------------------------- 132.32/23.61 # User time : 20.427 s 132.32/23.61 # System time : 0.419 s 132.32/23.61 # Total time : 20.845 s 132.32/23.61 # Maximum resident set size: 5648 pages 132.32/23.61 % E---3.1 exiting 132.32/23.62 % E exiting 132.32/23.62 EOF