0.08/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s 0.09/0.30 Computer : n004.cluster.edu 0.09/0.30 Model : x86_64 x86_64 0.09/0.30 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 RAMPerCPU : 8042.1875MB 0.09/0.30 OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1440 0.09/0.30 % DateTime : Mon Jul 3 08:42:45 EDT 2023 0.09/0.30 % CPUTime : 111.38/110.21 % SZS status Theorem 111.38/110.21 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0 111.38/110.21 % Inferences: 923 111.38/110.21 % SZS output start Proof 111.38/110.21 thf(conj_0,conjecture,(~((((hF_Mirabelle_hpair @ x) @ y) = zero_z189798548lle_hf)))). 111.38/110.21 thf(h0,negated_conjecture,(((hF_Mirabelle_hpair @ x) @ y) = zero_z189798548lle_hf),inference(assume_negation,[status(cth)],[conj_0])). 111.38/110.21 fof(ax2004, axiom, (~(p55)|p126), file('', ax2004)). 111.38/110.21 fof(ax1944, axiom, (~(p136)|p183), file('', ax1944)). 111.38/110.21 fof(ax1997, axiom, (~(p126)|p128), file('', ax1997)). 111.38/110.21 fof(ax2077, axiom, p55, file('', ax2077)). 111.38/110.21 fof(ax1943, axiom, (~(p183)|p184), file('', ax1943)). 111.38/110.21 fof(ax1995, axiom, p136, file('', ax1995)). 111.38/110.21 fof(ax2002, axiom, (~(p133)|p132), file('', ax2002)). 111.38/110.21 fof(ax1942, axiom, (~(p184)|~(p128)|p182), file('', ax1942)). 111.38/110.21 fof(ax2001, axiom, (~(p132)|p131), file('', ax2001)). 111.38/110.21 fof(ax2003, axiom, p133, file('', ax2003)). 111.38/110.21 fof(ax1547, axiom, (~(p105)|p437), file('', ax1547)). 111.38/110.21 fof(ax1658, axiom, (~(p182)|p303), file('', ax1658)). 111.38/110.21 fof(ax1918, axiom, (~(p168)|p209), file('', ax1918)). 111.38/110.21 fof(ax2000, axiom, (~(p131)|~(p1)|p130), file('', ax2000)). 111.38/110.21 fof(ax1544, axiom, (~(p437)|p439), file('', ax1544)). 111.38/110.21 fof(ax2027, axiom, p105, file('', ax2027)). 111.38/110.21 fof(ax1652, axiom, (~(p303)|p333), file('', ax1652)). 111.38/110.21 fof(ax1567, axiom, (~(p209)|p427), file('', ax1567)). 111.38/110.21 fof(ax1965, axiom, p168, file('', ax1965)). 111.38/110.21 fof(ax1998, axiom, (~(p129)|~(p128)|p127), file('', ax1998)). 111.38/110.21 fof(ax1999, axiom, (~(p130)|p129), file('', ax1999)). 111.38/110.21 fof(ax2131, axiom, p1, file('', ax2131)). 111.38/110.21 fof(ax1803, axiom, (~(p168)|p289), file('', ax1803)). 111.38/110.21 fof(ax1399, axiom, (~(p439)|p466), file('', ax1399)). 111.38/110.21 fof(ax1566, axiom, (~(p427)|~(p333)|p426), file('', ax1566)). 111.38/110.21 fof(ax1802, axiom, (~(p289)|p288), file('', ax1802)). 111.38/110.21 fof(ax1387, axiom, (~(p466)|p443), file('', ax1387)). 111.38/110.21 fof(ax1386, axiom, (~(p426)|p565), file('', ax1386)). 111.38/110.21 fof(ax1801, axiom, (~(p288)|~(p127)|p287), file('', ax1801)). 111.38/110.21 fof(ax1385, axiom, (~(p565)|~(p443)|p438), file('', ax1385)). 111.38/110.21 fof(ax1248, axiom, (~(p287)|p647), file('', ax1248)). 111.38/110.21 fof(ax1392, axiom, (~(p174)|p564), file('', ax1392)). 111.38/110.21 fof(ax1247, axiom, (~(p647)|~(p438)|p494), file('', ax1247)). 111.38/110.21 fof(ax898, axiom, (~(p564)|p846), file('', ax898)). 111.38/110.21 fof(ax1959, axiom, p174, file('', ax1959)). 111.38/110.21 fof(ax897, axiom, (~(p846)|~(p494)|p845), file('', ax897)). 111.38/110.21 tff(pax112, axiom, (p112=>![X107:hF_Mirabelle_hf, X108:hF_Mirabelle_hf]:~((fhF_Mirabelle_hinsert @ X107 @ X108)=(fzero_z189798548lle_hf))), file('', pax112)). 111.38/110.21 tff(pax845, axiom, (p845=>![X21:hF_Mirabelle_hf]:((X21)=(fhF_Mirabelle_hinsert @ (fhF_Mirabelle_hinsert @ fx @ fzero_z189798548lle_hf) @ (fhF_Mirabelle_hinsert @ (fhF_Mirabelle_hinsert @ fx @ (fhF_Mirabelle_hinsert @ fy @ fzero_z189798548lle_hf)) @ fzero_z189798548lle_hf))=>(X21)=(fzero_z189798548lle_hf))), file('', pax845)). 111.38/110.21 fof(ax2020, axiom, p112, file('', ax2020)). 111.38/110.21 fof(c_0_39, plain, (~p55|p126), inference(fof_simplification,[status(thm)],[ax2004])). 111.38/110.21 fof(c_0_40, plain, (~p136|p183), inference(fof_simplification,[status(thm)],[ax1944])). 111.38/110.21 fof(c_0_41, plain, (~p126|p128), inference(fof_simplification,[status(thm)],[ax1997])). 111.38/110.21 thf(c_0_42, plain, (p126|~p55), inference(split_conjunct,[status(thm)],[c_0_39])). 111.38/110.21 thf(c_0_43, plain, (p55), inference(split_conjunct,[status(thm)],[ax2077])). 111.38/110.21 fof(c_0_44, plain, (~p183|p184), inference(fof_simplification,[status(thm)],[ax1943])). 111.38/110.21 thf(c_0_45, plain, (p183|~p136), inference(split_conjunct,[status(thm)],[c_0_40])). 111.38/110.21 thf(c_0_46, plain, (p136), inference(split_conjunct,[status(thm)],[ax1995])). 111.38/110.21 fof(c_0_47, plain, (~p133|p132), inference(fof_simplification,[status(thm)],[ax2002])). 111.38/110.21 fof(c_0_48, plain, (~p184|~p128|p182), inference(fof_simplification,[status(thm)],[ax1942])). 111.38/110.21 thf(c_0_49, plain, (p128|~p126), inference(split_conjunct,[status(thm)],[c_0_41])). 111.38/110.21 thf(c_0_50, plain, (p126), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])). 111.38/110.21 thf(c_0_51, plain, (p184|~p183), inference(split_conjunct,[status(thm)],[c_0_44])). 111.38/110.21 thf(c_0_52, plain, (p183), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])])). 111.38/110.21 fof(c_0_53, plain, (~p132|p131), inference(fof_simplification,[status(thm)],[ax2001])). 111.38/110.21 thf(c_0_54, plain, (p132|~p133), inference(split_conjunct,[status(thm)],[c_0_47])). 111.38/110.21 thf(c_0_55, plain, (p133), inference(split_conjunct,[status(thm)],[ax2003])). 111.38/110.21 fof(c_0_56, plain, (~p105|p437), inference(fof_simplification,[status(thm)],[ax1547])). 111.38/110.21 fof(c_0_57, plain, (~p182|p303), inference(fof_simplification,[status(thm)],[ax1658])). 111.38/110.21 thf(c_0_58, plain, (p182|~p184|~p128), inference(split_conjunct,[status(thm)],[c_0_48])). 111.38/110.21 thf(c_0_59, plain, (p128), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50])])). 111.38/110.21 thf(c_0_60, plain, (p184), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])])). 111.38/110.21 fof(c_0_61, plain, (~p168|p209), inference(fof_simplification,[status(thm)],[ax1918])). 111.38/110.21 fof(c_0_62, plain, (~p131|~p1|p130), inference(fof_simplification,[status(thm)],[ax2000])). 111.38/110.21 thf(c_0_63, plain, (p131|~p132), inference(split_conjunct,[status(thm)],[c_0_53])). 111.38/110.21 thf(c_0_64, plain, (p132), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])])). 111.38/110.21 fof(c_0_65, plain, (~p437|p439), inference(fof_simplification,[status(thm)],[ax1544])). 111.38/110.21 thf(c_0_66, plain, (p437|~p105), inference(split_conjunct,[status(thm)],[c_0_56])). 111.38/110.21 thf(c_0_67, plain, (p105), inference(split_conjunct,[status(thm)],[ax2027])). 111.38/110.21 fof(c_0_68, plain, (~p303|p333), inference(fof_simplification,[status(thm)],[ax1652])). 111.38/110.21 thf(c_0_69, plain, (p303|~p182), inference(split_conjunct,[status(thm)],[c_0_57])). 111.38/110.21 thf(c_0_70, plain, (p182), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59]), c_0_60])])). 111.38/110.21 fof(c_0_71, plain, (~p209|p427), inference(fof_simplification,[status(thm)],[ax1567])). 111.38/110.21 thf(c_0_72, plain, (p209|~p168), inference(split_conjunct,[status(thm)],[c_0_61])). 111.38/110.21 thf(c_0_73, plain, (p168), inference(split_conjunct,[status(thm)],[ax1965])). 111.38/110.21 fof(c_0_74, plain, (~p129|~p128|p127), inference(fof_simplification,[status(thm)],[ax1998])). 111.38/110.21 fof(c_0_75, plain, (~p130|p129), inference(fof_simplification,[status(thm)],[ax1999])). 111.38/110.21 thf(c_0_76, plain, (p130|~p131|~p1), inference(split_conjunct,[status(thm)],[c_0_62])). 111.38/110.21 thf(c_0_77, plain, (p1), inference(split_conjunct,[status(thm)],[ax2131])). 111.38/110.21 thf(c_0_78, plain, (p131), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_64])])). 111.38/110.21 fof(c_0_79, plain, (~p168|p289), inference(fof_simplification,[status(thm)],[ax1803])). 111.38/110.21 fof(c_0_80, plain, (~p439|p466), inference(fof_simplification,[status(thm)],[ax1399])). 111.38/110.21 thf(c_0_81, plain, (p439|~p437), inference(split_conjunct,[status(thm)],[c_0_65])). 111.38/110.21 thf(c_0_82, plain, (p437), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])])). 111.38/110.21 fof(c_0_83, plain, (~p427|~p333|p426), inference(fof_simplification,[status(thm)],[ax1566])). 111.38/110.21 thf(c_0_84, plain, (p333|~p303), inference(split_conjunct,[status(thm)],[c_0_68])). 111.38/110.21 thf(c_0_85, plain, (p303), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])])). 111.38/110.21 thf(c_0_86, plain, (p427|~p209), inference(split_conjunct,[status(thm)],[c_0_71])). 111.38/110.21 thf(c_0_87, plain, (p209), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73])])). 111.38/110.21 thf(c_0_88, plain, (p127|~p129|~p128), inference(split_conjunct,[status(thm)],[c_0_74])). 111.38/110.21 thf(c_0_89, plain, (p129|~p130), inference(split_conjunct,[status(thm)],[c_0_75])). 111.38/110.21 thf(c_0_90, plain, (p130), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77]), c_0_78])])). 111.38/110.21 fof(c_0_91, plain, (~p289|p288), inference(fof_simplification,[status(thm)],[ax1802])). 111.38/110.21 thf(c_0_92, plain, (p289|~p168), inference(split_conjunct,[status(thm)],[c_0_79])). 111.38/110.21 fof(c_0_93, plain, (~p466|p443), inference(fof_simplification,[status(thm)],[ax1387])). 111.38/110.21 thf(c_0_94, plain, (p466|~p439), inference(split_conjunct,[status(thm)],[c_0_80])). 111.38/110.21 thf(c_0_95, plain, (p439), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82])])). 111.38/110.21 fof(c_0_96, plain, (~p426|p565), inference(fof_simplification,[status(thm)],[ax1386])). 111.38/110.21 thf(c_0_97, plain, (p426|~p427|~p333), inference(split_conjunct,[status(thm)],[c_0_83])). 111.38/110.21 thf(c_0_98, plain, (p333), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_85])])). 111.38/110.21 thf(c_0_99, plain, (p427), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_87])])). 111.38/110.21 fof(c_0_100, plain, (~p288|~p127|p287), inference(fof_simplification,[status(thm)],[ax1801])). 111.38/110.21 thf(c_0_101, plain, (p127|~p129), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_59])])). 111.38/110.21 thf(c_0_102, plain, (p129), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])). 111.38/110.21 thf(c_0_103, plain, (p288|~p289), inference(split_conjunct,[status(thm)],[c_0_91])). 111.38/110.21 thf(c_0_104, plain, (p289), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92, c_0_73])])). 111.38/110.21 fof(c_0_105, plain, (~p565|~p443|p438), inference(fof_simplification,[status(thm)],[ax1385])). 111.38/110.21 thf(c_0_106, plain, (p443|~p466), inference(split_conjunct,[status(thm)],[c_0_93])). 111.38/110.21 thf(c_0_107, plain, (p466), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_95])])). 111.38/110.21 thf(c_0_108, plain, (p565|~p426), inference(split_conjunct,[status(thm)],[c_0_96])). 111.38/110.21 thf(c_0_109, plain, (p426), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97, c_0_98]), c_0_99])])). 111.38/110.21 fof(c_0_110, plain, (~p287|p647), inference(fof_simplification,[status(thm)],[ax1248])). 111.38/110.21 thf(c_0_111, plain, (p287|~p288|~p127), inference(split_conjunct,[status(thm)],[c_0_100])). 111.38/110.21 thf(c_0_112, plain, (p127), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101, c_0_102])])). 111.38/110.21 thf(c_0_113, plain, (p288), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104])])). 111.38/110.21 fof(c_0_114, plain, (~p174|p564), inference(fof_simplification,[status(thm)],[ax1392])). 111.38/110.21 fof(c_0_115, plain, (~p647|~p438|p494), inference(fof_simplification,[status(thm)],[ax1247])). 111.38/110.21 thf(c_0_116, plain, (p438|~p565|~p443), inference(split_conjunct,[status(thm)],[c_0_105])). 111.38/110.21 thf(c_0_117, plain, (p443), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_107])])). 111.38/110.21 thf(c_0_118, plain, (p565), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_109])])). 111.38/110.21 thf(c_0_119, plain, (p647|~p287), inference(split_conjunct,[status(thm)],[c_0_110])). 111.38/110.21 thf(c_0_120, plain, (p287), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_112]), c_0_113])])). 111.38/110.21 fof(c_0_121, plain, (~p564|p846), inference(fof_simplification,[status(thm)],[ax898])). 111.38/110.21 thf(c_0_122, plain, (p564|~p174), inference(split_conjunct,[status(thm)],[c_0_114])). 111.38/110.21 thf(c_0_123, plain, (p174), inference(split_conjunct,[status(thm)],[ax1959])). 111.38/110.21 fof(c_0_124, plain, (~p846|~p494|p845), inference(fof_simplification,[status(thm)],[ax897])). 111.38/110.21 thf(c_0_125, plain, (p494|~p647|~p438), inference(split_conjunct,[status(thm)],[c_0_115])). 111.38/110.21 thf(c_0_126, plain, (p438), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_117]), c_0_118])])). 111.38/110.21 thf(c_0_127, plain, (p647), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119, c_0_120])])). 111.38/110.21 thf(c_0_128, plain, (p846|~p564), inference(split_conjunct,[status(thm)],[c_0_121])). 111.38/110.21 thf(c_0_129, plain, (p564), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122, c_0_123])])). 111.38/110.21 tff(c_0_130, plain, ![X1049:hF_Mirabelle_hf, X1050:hF_Mirabelle_hf]:(~p112|(fhF_Mirabelle_hinsert @ X1049 @ X1050)!=(fzero_z189798548lle_hf)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax112])])])])). 111.38/110.21 tff(c_0_131, plain, ![X429:hF_Mirabelle_hf]:(~p845|((X429)!=(fhF_Mirabelle_hinsert @ (fhF_Mirabelle_hinsert @ fx @ fzero_z189798548lle_hf) @ (fhF_Mirabelle_hinsert @ (fhF_Mirabelle_hinsert @ fx @ (fhF_Mirabelle_hinsert @ fy @ fzero_z189798548lle_hf)) @ fzero_z189798548lle_hf))|(X429)=(fzero_z189798548lle_hf))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax845])])])). 111.38/110.21 thf(c_0_132, plain, (p845|~p846|~p494), inference(split_conjunct,[status(thm)],[c_0_124])). 111.38/110.21 thf(c_0_133, plain, (p494), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125, c_0_126]), c_0_127])])). 111.38/110.21 thf(c_0_134, plain, (p846), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128, c_0_129])])). 111.38/110.21 thf(c_0_135, plain, ![X3:hF_Mirabelle_hf, X1:hF_Mirabelle_hf]:(~p112|(fhF_Mirabelle_hinsert @ X1 @ X3)!=(fzero_z189798548lle_hf)), inference(split_conjunct,[status(thm)],[c_0_130])). 111.38/110.21 thf(c_0_136, plain, (p112), inference(split_conjunct,[status(thm)],[ax2020])). 111.38/110.21 thf(c_0_137, plain, ![X1:hF_Mirabelle_hf]:((X1)=(fzero_z189798548lle_hf)|~p845|(X1)!=(fhF_Mirabelle_hinsert @ (fhF_Mirabelle_hinsert @ fx @ fzero_z189798548lle_hf) @ (fhF_Mirabelle_hinsert @ (fhF_Mirabelle_hinsert @ fx @ (fhF_Mirabelle_hinsert @ fy @ fzero_z189798548lle_hf)) @ fzero_z189798548lle_hf))), inference(split_conjunct,[status(thm)],[c_0_131])). 111.38/110.21 thf(c_0_138, plain, (p845), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132, c_0_133]), c_0_134])])). 111.38/110.21 thf(c_0_139, plain, ![X3:hF_Mirabelle_hf, X1:hF_Mirabelle_hf]:(fhF_Mirabelle_hinsert @ X1 @ X3)!=(fzero_z189798548lle_hf), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135, c_0_136])])). 111.38/110.21 thf(c_0_140, plain, ($false), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137, c_0_138])])]), c_0_139]), ['proof']). 111.38/110.21 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])). 111.38/110.21 thf(0,theorem,(~((((hF_Mirabelle_hpair @ x) @ y) = zero_z189798548lle_hf))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])). 111.38/110.21 % SZS output end Proof 111.38/110.21 EOF