0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n027.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 08:30:54 EDT 2024 0.12/0.33 % CPUTime : 0.20/0.46 Running higher-order theorem proving 0.20/0.47 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.Tf3Fry21kE/E---3.1_15485.p 28.75/4.11 # Version: 3.2.0-ho 28.75/4.11 # Preprocessing class: HSLMSLSSLLLCHFA. 28.75/4.11 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 28.75/4.11 # Starting ehoh_best5 with 180s (1) cores 28.75/4.11 # Starting almost_fo_3_lam with 180s (1) cores 28.75/4.11 # Starting new_bool_5 with 180s (1) cores 28.75/4.11 # Starting pre_casc_3 with 180s (1) cores 28.75/4.11 # Starting ho_unfolding_8 with 180s (1) cores 28.75/4.11 # Starting new_ho_10_cnf2 with 180s (1) cores 28.75/4.11 # Starting new_bool_3 with 180s (1) cores 28.75/4.11 # Starting new_ho_5 with 180s (1) cores 28.75/4.11 # new_bool_3 with pid 15569 completed with status 0 28.75/4.11 # Result found by new_bool_3 28.75/4.11 # Preprocessing class: HSLMSLSSLLLCHFA. 28.75/4.11 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 28.75/4.11 # Starting ehoh_best5 with 180s (1) cores 28.75/4.11 # Starting almost_fo_3_lam with 180s (1) cores 28.75/4.11 # Starting new_bool_5 with 180s (1) cores 28.75/4.11 # Starting pre_casc_3 with 180s (1) cores 28.75/4.11 # Starting ho_unfolding_8 with 180s (1) cores 28.75/4.11 # Starting new_ho_10_cnf2 with 180s (1) cores 28.75/4.11 # Starting new_bool_3 with 180s (1) cores 28.75/4.11 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 28.75/4.11 # Search class: HGHSM-FSLM31-SHFMMSBN 28.75/4.11 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 28.75/4.11 # Starting ehoh_best3 with 109s (1) cores 28.75/4.11 # ehoh_best3 with pid 15586 completed with status 0 28.75/4.11 # Result found by ehoh_best3 28.75/4.11 # Preprocessing class: HSLMSLSSLLLCHFA. 28.75/4.11 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 28.75/4.11 # Starting ehoh_best5 with 180s (1) cores 28.75/4.11 # Starting almost_fo_3_lam with 180s (1) cores 28.75/4.11 # Starting new_bool_5 with 180s (1) cores 28.75/4.11 # Starting pre_casc_3 with 180s (1) cores 28.75/4.11 # Starting ho_unfolding_8 with 180s (1) cores 28.75/4.11 # Starting new_ho_10_cnf2 with 180s (1) cores 28.75/4.11 # Starting new_bool_3 with 180s (1) cores 28.75/4.11 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 28.75/4.11 # Search class: HGHSM-FSLM31-SHFMMSBN 28.75/4.11 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 28.75/4.11 # Starting ehoh_best3 with 109s (1) cores 28.75/4.11 # Preprocessing time : 0.004 s 28.75/4.11 # Presaturation interreduction done 28.75/4.11 28.75/4.11 # Proof found! 28.75/4.11 # SZS status Theorem 28.75/4.11 # SZS output start CNFRefutation 28.75/4.11 thf(decl_22, type, in: $i > $i > $o). 28.75/4.11 thf(decl_23, type, exu: ($i > $o) > $o). 28.75/4.11 thf(decl_24, type, setextAx: $o). 28.75/4.11 thf(decl_25, type, emptyset: $i). 28.75/4.11 thf(decl_26, type, emptysetAx: $o). 28.75/4.11 thf(decl_27, type, setadjoin: $i > $i > $i). 28.75/4.11 thf(decl_28, type, setadjoinAx: $o). 28.75/4.11 thf(decl_29, type, powerset: $i > $i). 28.75/4.11 thf(decl_30, type, powersetAx: $o). 28.75/4.11 thf(decl_31, type, setunion: $i > $i). 28.75/4.11 thf(decl_32, type, setunionAx: $o). 28.75/4.11 thf(decl_33, type, omega: $i). 28.75/4.11 thf(decl_34, type, omega0Ax: $o). 28.75/4.11 thf(decl_35, type, omegaSAx: $o). 28.75/4.11 thf(decl_36, type, omegaIndAx: $o). 28.75/4.11 thf(decl_37, type, replAx: $o). 28.75/4.11 thf(decl_38, type, foundationAx: $o). 28.75/4.11 thf(decl_39, type, wellorderingAx: $o). 28.75/4.11 thf(decl_40, type, descr: ($i > $o) > $i). 28.75/4.11 thf(decl_41, type, descrp: $o). 28.75/4.11 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 28.75/4.11 thf(decl_43, type, dsetconstrI: $o). 28.75/4.11 thf(decl_44, type, dsetconstrEL: $o). 28.75/4.11 thf(decl_45, type, dsetconstrER: $o). 28.75/4.11 thf(decl_46, type, exuE1: $o). 28.75/4.11 thf(decl_47, type, prop2set: $o > $i). 28.75/4.11 thf(decl_48, type, prop2setE: $o). 28.75/4.11 thf(decl_49, type, emptysetE: $o). 28.75/4.11 thf(decl_50, type, emptysetimpfalse: $o). 28.75/4.11 thf(decl_51, type, notinemptyset: $o). 28.75/4.11 thf(decl_52, type, exuE3e: $o). 28.75/4.11 thf(decl_53, type, setext: $o). 28.75/4.11 thf(decl_54, type, emptyI: $o). 28.75/4.11 thf(decl_55, type, noeltsimpempty: $o). 28.75/4.11 thf(decl_56, type, setbeta: $o). 28.75/4.11 thf(decl_57, type, nonempty: $i > $o). 28.75/4.11 thf(decl_58, type, nonemptyE1: $o). 28.75/4.11 thf(decl_59, type, nonemptyI: $o). 28.75/4.11 thf(decl_60, type, nonemptyI1: $o). 28.75/4.11 thf(decl_61, type, setadjoinIL: $o). 28.75/4.11 thf(decl_62, type, emptyinunitempty: $o). 28.75/4.11 thf(decl_63, type, setadjoinIR: $o). 28.75/4.11 thf(decl_64, type, setadjoinE: $o). 28.75/4.11 thf(decl_65, type, setadjoinOr: $o). 28.75/4.11 thf(decl_66, type, setoftrueEq: $o). 28.75/4.11 thf(decl_67, type, powersetI: $o). 28.75/4.11 thf(decl_68, type, emptyinPowerset: $o). 28.75/4.11 thf(decl_69, type, emptyInPowerset: $o). 28.75/4.11 thf(decl_70, type, powersetE: $o). 28.75/4.11 thf(decl_71, type, setunionI: $o). 28.75/4.11 thf(decl_72, type, setunionE: $o). 28.75/4.11 thf(decl_73, type, subPowSU: $o). 28.75/4.11 thf(decl_74, type, exuE2: $o). 28.75/4.11 thf(decl_75, type, nonemptyImpWitness: $o). 28.75/4.11 thf(decl_76, type, uniqinunit: $o). 28.75/4.11 thf(decl_77, type, notinsingleton: $o). 28.75/4.11 thf(decl_78, type, eqinunit: $o). 28.75/4.11 thf(decl_79, type, singletonsswitch: $o). 28.75/4.11 thf(decl_80, type, upairsetE: $o). 28.75/4.11 thf(decl_81, type, upairsetIL: $o). 28.75/4.11 thf(decl_82, type, upairsetIR: $o). 28.75/4.11 thf(decl_83, type, emptyE1: $o). 28.75/4.11 thf(decl_84, type, vacuousDall: $o). 28.75/4.11 thf(decl_85, type, quantDeMorgan1: $o). 28.75/4.11 thf(decl_86, type, quantDeMorgan2: $o). 28.75/4.11 thf(decl_87, type, quantDeMorgan3: $o). 28.75/4.11 thf(decl_88, type, quantDeMorgan4: $o). 28.75/4.11 thf(decl_89, type, prop2setI: $o). 28.75/4.11 thf(decl_91, type, prop2set2propI: $o). 28.75/4.11 thf(decl_92, type, notdexE: $o). 28.75/4.11 thf(decl_93, type, notdallE: $o). 28.75/4.11 thf(decl_94, type, exuI1: $o). 28.75/4.11 thf(decl_95, type, exuI3: $o). 28.75/4.11 thf(decl_96, type, exuI2: $o). 28.75/4.11 thf(decl_97, type, inCongP: $o). 28.75/4.11 thf(decl_98, type, in__Cong: $o). 28.75/4.11 thf(decl_99, type, exuE3u: $o). 28.75/4.11 thf(decl_100, type, exu__Cong: $o). 28.75/4.11 thf(decl_101, type, emptyset__Cong: $o). 28.75/4.11 thf(decl_102, type, setadjoin__Cong: $o). 28.75/4.11 thf(decl_103, type, powerset__Cong: $o). 28.75/4.11 thf(decl_104, type, setunion__Cong: $o). 28.75/4.11 thf(decl_105, type, omega__Cong: $o). 28.75/4.11 thf(decl_106, type, exuEu: $o). 28.75/4.11 thf(decl_107, type, descr__Cong: $o). 28.75/4.11 thf(decl_108, type, dsetconstr__Cong: $o). 28.75/4.11 thf(decl_109, type, subset: $i > $i > $o). 28.75/4.11 thf(decl_112, type, subsetI1: $o). 28.75/4.11 thf(decl_113, type, eqimpsubset2: $o). 28.75/4.11 thf(decl_114, type, eqimpsubset1: $o). 28.75/4.11 thf(decl_115, type, subsetI2: $o). 28.75/4.11 thf(decl_116, type, emptysetsubset: $o). 28.75/4.11 thf(decl_117, type, subsetE: $o). 28.75/4.11 thf(decl_118, type, subsetE2: $o). 28.75/4.11 thf(decl_119, type, notsubsetI: $o). 28.75/4.11 thf(decl_120, type, notequalI1: $o). 28.75/4.11 thf(decl_121, type, notequalI2: $o). 28.75/4.11 thf(decl_122, type, subsetRefl: $o). 28.75/4.11 thf(decl_123, type, subsetTrans: $o). 28.75/4.11 thf(decl_124, type, setadjoinSub: $o). 28.75/4.11 thf(decl_125, type, setadjoinSub2: $o). 28.75/4.11 thf(decl_126, type, subset2powerset: $o). 28.75/4.11 thf(decl_127, type, setextsub: $o). 28.75/4.11 thf(decl_128, type, subsetemptysetimpeq: $o). 28.75/4.11 thf(decl_129, type, powersetI1: $o). 28.75/4.11 thf(decl_130, type, powersetE1: $o). 28.75/4.11 thf(decl_131, type, inPowerset: $o). 28.75/4.11 thf(decl_132, type, powersetsubset: $o). 28.75/4.11 thf(decl_133, type, sepInPowerset: $o). 28.75/4.11 thf(decl_134, type, sepSubset: $o). 28.75/4.11 thf(decl_135, type, binunion: $i > $i > $i). 28.75/4.11 thf(decl_136, type, binunionIL: $o). 28.75/4.11 thf(decl_137, type, upairset2IR: $o). 28.75/4.11 thf(decl_138, type, binunionIR: $o). 28.75/4.11 thf(decl_139, type, binunionEcases: $o). 28.75/4.11 thf(decl_140, type, binunionE: $o). 28.75/4.11 thf(decl_141, type, binunionLsub: $o). 28.75/4.11 thf(decl_142, type, binunionRsub: $o). 28.75/4.11 thf(decl_143, type, binintersect: $i > $i > $i). 28.75/4.11 thf(decl_144, type, binintersectI: $o). 28.75/4.11 thf(decl_145, type, binintersectSubset5: $o). 28.75/4.11 thf(decl_146, type, binintersectEL: $o). 28.75/4.11 thf(decl_147, type, binintersectLsub: $o). 28.75/4.11 thf(decl_148, type, binintersectSubset2: $o). 28.75/4.11 thf(decl_149, type, binintersectSubset3: $o). 28.75/4.11 thf(decl_150, type, binintersectER: $o). 28.75/4.11 thf(decl_151, type, disjointsetsI1: $o). 28.75/4.11 thf(decl_152, type, binintersectRsub: $o). 28.75/4.11 thf(decl_153, type, binintersectSubset4: $o). 28.75/4.11 thf(decl_154, type, binintersectSubset1: $o). 28.75/4.11 thf(decl_155, type, bs114d: $o). 28.75/4.11 thf(decl_157, type, setminus: $i > $i > $i). 28.75/4.11 thf(decl_158, type, setminusI: $o). 28.75/4.11 thf(decl_159, type, setminusEL: $o). 28.75/4.11 thf(decl_160, type, setminusER: $o). 28.75/4.11 thf(decl_161, type, setminusSubset2: $o). 28.75/4.11 thf(decl_162, type, setminusERneg: $o). 28.75/4.11 thf(decl_163, type, setminusELneg: $o). 28.75/4.11 thf(decl_164, type, setminusILneg: $o). 28.75/4.11 thf(decl_165, type, setminusIRneg: $o). 28.75/4.11 thf(decl_166, type, setminusLsub: $o). 28.75/4.11 thf(decl_167, type, epred1_0: $o). 28.75/4.11 thf(decl_168, type, esk1_2: $i > $i > $i). 28.75/4.11 thf(decl_169, type, esk2_2: $i > $i > $i). 28.75/4.11 thf(decl_170, type, esk3_2: $i > $i > $i). 28.75/4.11 thf(decl_171, type, esk4_1: $i > $i). 28.75/4.11 thf(decl_172, type, esk5_2: ($i > $i > $o) > $i > $i). 28.75/4.11 thf(decl_173, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 28.75/4.11 thf(decl_174, type, esk7_2: ($i > $i > $o) > $i > $i). 28.75/4.11 thf(decl_175, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 28.75/4.11 thf(decl_176, type, esk9_1: $i > $i). 28.75/4.11 thf(decl_177, type, esk10_2: ($i > $o) > $i > $i). 28.75/4.11 thf(decl_178, type, esk11_2: ($i > $o) > $i > $i). 28.75/4.11 thf(decl_179, type, esk12_1: ($i > $o) > $i). 28.75/4.11 thf(decl_180, type, esk13_2: ($i > $o) > $i > $i). 28.75/4.11 thf(decl_181, type, esk14_1: ($i > $o) > $i). 28.75/4.11 thf(decl_182, type, esk15_2: $i > $i > $i). 28.75/4.11 thf(decl_183, type, esk16_2: $i > $i > $i). 28.75/4.11 thf(decl_184, type, esk17_1: $i > $i). 28.75/4.11 thf(decl_185, type, esk18_1: $i > $i). 28.75/4.11 thf(decl_186, type, esk19_1: $i > $i). 28.75/4.11 thf(decl_187, type, esk20_2: $i > $i > $i). 28.75/4.11 thf(decl_188, type, esk21_3: $i > $i > $o > $i). 28.75/4.11 thf(decl_189, type, esk22_2: ($i > $o) > $i > $i). 28.75/4.11 thf(decl_190, type, esk23_1: ($i > $o) > $i). 28.75/4.11 thf(decl_191, type, esk24_1: $i > $i). 28.75/4.11 thf(decl_192, type, esk25_2: $i > ($i > $o) > $i). 28.75/4.11 thf(decl_193, type, esk26_2: $i > ($i > $o) > $i). 28.75/4.11 thf(decl_194, type, esk27_2: $i > ($i > $o) > $i). 28.75/4.11 thf(decl_195, type, esk28_2: $i > ($i > $o) > $i). 28.75/4.11 thf(decl_196, type, esk29_2: $i > ($i > $o) > $i). 28.75/4.11 thf(decl_197, type, esk30_2: $i > ($i > $o) > $i). 28.75/4.11 thf(decl_198, type, esk31_2: ($i > $o) > $i > $i). 28.75/4.11 thf(decl_199, type, esk32_1: ($i > $o) > $i). 28.75/4.11 thf(decl_200, type, esk33_1: ($i > $o) > $i). 28.75/4.11 thf(decl_201, type, esk34_1: ($i > $o) > $i). 28.75/4.11 thf(decl_202, type, esk35_1: ($i > $o) > $i). 28.75/4.11 thf(decl_203, type, esk36_2: ($i > $o) > $i > $i). 28.75/4.11 thf(decl_204, type, esk37_1: ($i > $o) > $i). 28.75/4.11 thf(decl_205, type, esk38_2: ($i > $o) > $i > $i). 28.75/4.11 thf(decl_206, type, esk39_2: ($i > $o) > ($i > $o) > $i). 28.75/4.11 thf(decl_207, type, esk40_2: ($i > $o) > ($i > $o) > $i). 28.75/4.11 thf(decl_208, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 28.75/4.11 thf(decl_209, type, esk42_2: ($i > $o) > ($i > $o) > $i). 28.75/4.11 thf(decl_210, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 28.75/4.11 thf(decl_211, type, esk44_2: ($i > $o) > ($i > $o) > $i). 28.75/4.11 thf(decl_212, type, esk45_2: ($i > $o) > $i > $i). 28.75/4.11 thf(decl_213, type, esk46_2: ($i > $o) > ($i > $o) > $i). 28.75/4.11 thf(decl_214, type, esk47_2: ($i > $o) > ($i > $o) > $i). 28.75/4.11 thf(decl_215, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 28.75/4.11 thf(decl_216, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 28.75/4.11 thf(decl_217, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 28.75/4.11 thf(decl_218, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 28.75/4.11 thf(decl_219, type, esk52_2: $i > $i > $i). 28.75/4.11 thf(decl_220, type, esk53_2: $i > $i > $i). 28.75/4.11 thf(decl_221, type, esk54_2: $i > $i > $i). 28.75/4.11 thf(decl_222, type, esk55_0: $i). 28.75/4.11 thf(decl_223, type, esk56_0: $i). 28.75/4.11 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exuI3)). 28.75/4.11 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exu)). 28.75/4.11 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', nonempty)). 28.75/4.11 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exuI1)). 28.75/4.11 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exu__Cong)). 28.75/4.11 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exuEu)). 28.75/4.11 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', descr__Cong)). 28.75/4.11 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', replAx)). 28.75/4.11 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exuE3u)). 28.75/4.11 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exuI2)). 28.75/4.11 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exuE2)). 28.75/4.11 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', nonemptyI)). 28.75/4.11 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exuE3e)). 28.75/4.11 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', exuE1)). 28.75/4.11 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', descrp)). 28.75/4.11 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', nonemptyImpWitness)). 28.75/4.11 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setbeta)). 28.75/4.11 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', dsetconstrEL)). 28.75/4.11 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', dsetconstrI)). 28.75/4.11 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', dsetconstr__Cong)). 28.75/4.11 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', sepInPowerset)). 28.75/4.11 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', sepSubset)). 28.75/4.11 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptyE1)). 28.75/4.11 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setoftrueEq)). 28.75/4.11 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', nonemptyI1)). 28.75/4.11 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', nonemptyE1)). 28.75/4.11 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', dsetconstrER)). 28.75/4.11 thf(setminusSubset1, conjecture, (((emptysetAx)=>(((powersetAx)=>((setunionAx)=>((((omegaIndAx)=>(((foundationAx)=>(((descrp)=>((((dsetconstrER)=>((exuE1)=>((((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>(((emptyI)=>((noeltsimpempty)=>(((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>(((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((((emptyInPowerset)=>((((((exuE2)=>((((notinsingleton)=>((((((((vacuousDall)=>(((quantDeMorgan2)=>((quantDeMorgan3)=>(((((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>(((setunion__Cong)=>(((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>(((eqimpsubset2)=>((eqimpsubset1)=>((((subsetE)=>((((notequalI1)=>(((((setadjoinSub)=>(((subset2powerset)=>((((powersetI1)=>(((((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((((((binunionRsub)=>((binintersectI)=>((((binintersectLsub)=>((binintersectSubset2)=>(((binintersectER)=>(((binintersectRsub)=>((binintersectSubset4)=>((((((setminusER)=>((setminusSubset2)=>(((setminusELneg)=>((setminusILneg)=>(((setminusLsub)=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)<=((setminus @ X4 @ X5)=(emptyset)))))<=(setminusIRneg))))<=(setminusERneg))))<=(setminusEL))<=(setminusI))<=(bs114d))<=(binintersectSubset1))))<=(disjointsetsI1)))<=(binintersectSubset3))))<=(binintersectEL))<=(binintersectSubset5))))<=(binunionLsub))<=(binunionE))<=(binunionEcases))<=(binunionIR))))))<=(powersetsubset))<=(inPowerset))<=(powersetE1)))<=(subsetemptysetimpeq))<=(setextsub)))<=(setadjoinSub2)))<=(subsetTrans))<=(subsetRefl))<=(notequalI2)))<=(notsubsetI))<=(subsetE2)))<=(emptysetsubset))<=(subsetI2))))<=(subsetI1)))))<=(omega__Cong)))<=(powerset__Cong)))))))<=(inCongP))<=(exuI2))))))<=(prop2set2propI))<=(prop2setI))<=(quantDeMorgan4))))<=(quantDeMorgan1)))<=(emptyE1))<=(upairsetIR))<=(upairsetIL))<=(upairsetE))<=(singletonsswitch))<=(eqinunit)))<=(uniqinunit))<=(nonemptyImpWitness)))<=(subPowSU))<=(setunionE))<=(setunionI))<=(powersetE)))<=(emptyinPowerset))<=(powersetI)))))))<=(setadjoinIL)))))<=(setbeta))))<=(setext)))))<=(emptysetE))<=(prop2setE))))<=(dsetconstrEL))<=(dsetconstrI)))<=(wellorderingAx)))<=(replAx)))<=(omegaSAx))<=(omega0Ax))))<=(setadjoinAx)))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusSubset1)). 28.75/4.11 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setextAx)). 28.75/4.11 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', subPowSU)). 28.75/4.11 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setunionE)). 28.75/4.11 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setunionI)). 28.75/4.11 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptyset__Cong)). 28.75/4.11 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', powersetE)). 28.75/4.11 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptyinPowerset)). 28.75/4.11 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', powersetI)). 28.75/4.11 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setadjoin__Cong)). 28.75/4.11 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setadjoinIL)). 28.75/4.11 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setunion__Cong)). 28.75/4.11 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setext)). 28.75/4.11 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptysetE)). 28.75/4.11 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', prop2setE)). 28.75/4.11 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', wellorderingAx)). 28.75/4.11 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', omegaSAx)). 28.75/4.11 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', omega0Ax)). 28.75/4.11 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setadjoinAx)). 28.75/4.11 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectER)). 28.75/4.11 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', eqimpsubset2)). 28.75/4.11 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', eqimpsubset1)). 28.75/4.11 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', subsetE)). 28.75/4.11 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', notequalI1)). 28.75/4.11 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setadjoinSub)). 28.75/4.11 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', subset2powerset)). 28.75/4.11 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', powersetI1)). 28.75/4.11 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', in__Cong)). 28.75/4.11 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binunionIL)). 28.75/4.11 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', upairset2IR)). 28.75/4.11 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binunionRsub)). 28.75/4.11 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectI)). 28.75/4.11 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectLsub)). 28.75/4.11 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectSubset2)). 28.75/4.11 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', upairsetE)). 28.75/4.11 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', singletonsswitch)). 28.75/4.11 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', eqinunit)). 28.75/4.11 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', uniqinunit)). 28.75/4.11 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectRsub)). 28.75/4.11 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectSubset4)). 28.75/4.11 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusER)). 28.75/4.11 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusSubset2)). 28.75/4.11 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusELneg)). 28.75/4.11 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusILneg)). 28.75/4.11 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusLsub)). 28.75/4.11 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusIRneg)). 28.75/4.11 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusERneg)). 28.75/4.11 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusEL)). 28.75/4.11 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setminusI)). 28.75/4.11 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', bs114d)). 28.75/4.11 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectSubset1)). 28.75/4.11 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', disjointsetsI1)). 28.75/4.11 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectSubset3)). 28.75/4.11 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectEL)). 28.75/4.11 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binintersectSubset5)). 28.75/4.11 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binunionLsub)). 28.75/4.11 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binunionE)). 28.75/4.11 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binunionEcases)). 28.75/4.11 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', binunionIR)). 28.75/4.11 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', powersetsubset)). 28.75/4.11 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', inPowerset)). 28.75/4.11 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', powersetE1)). 28.75/4.11 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', subsetemptysetimpeq)). 28.75/4.11 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setextsub)). 28.75/4.11 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setadjoinSub2)). 28.75/4.11 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', subsetTrans)). 28.75/4.11 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', subsetRefl)). 28.75/4.11 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', notequalI2)). 28.75/4.11 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', notsubsetI)). 28.75/4.11 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', subsetE2)). 28.75/4.11 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptysetsubset)). 28.75/4.11 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', subsetI2)). 28.75/4.11 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', subsetI1)). 28.75/4.11 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', omega__Cong)). 28.75/4.11 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', powerset__Cong)). 28.75/4.11 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', inCongP)). 28.75/4.11 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', prop2setI)). 28.75/4.11 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', quantDeMorgan4)). 28.75/4.11 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', quantDeMorgan1)). 28.75/4.11 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', upairsetIR)). 28.75/4.11 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', upairsetIL)). 28.75/4.11 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', notdallE)). 28.75/4.11 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', notdexE)). 28.75/4.11 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', quantDeMorgan3)). 28.75/4.11 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', quantDeMorgan2)). 28.75/4.11 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', vacuousDall)). 28.75/4.11 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', notinsingleton)). 28.75/4.11 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptyInPowerset)). 28.75/4.11 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setadjoinOr)). 28.75/4.11 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setadjoinE)). 28.75/4.11 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setadjoinIR)). 28.75/4.11 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptyinunitempty)). 28.75/4.11 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', noeltsimpempty)). 28.75/4.11 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptyI)). 28.75/4.11 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', notinemptyset)). 28.75/4.11 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptysetimpfalse)). 28.75/4.11 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', foundationAx)). 28.75/4.11 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', omegaIndAx)). 28.75/4.11 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', setunionAx)). 28.75/4.11 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', powersetAx)). 28.75/4.11 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.Tf3Fry21kE/E---3.1_15485.p', emptysetAx)). 28.75/4.11 thf(c_0_128, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 28.75/4.11 thf(c_0_129, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 28.75/4.11 thf(c_0_130, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 28.75/4.11 thf(c_0_131, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 28.75/4.11 thf(c_0_132, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 28.75/4.11 thf(c_0_133, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 28.75/4.11 thf(c_0_134, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 28.75/4.11 thf(c_0_135, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 28.75/4.11 thf(c_0_136, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 28.75/4.11 thf(c_0_137, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 28.75/4.11 thf(c_0_138, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 28.75/4.11 thf(c_0_139, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 28.75/4.11 thf(c_0_140, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 28.75/4.11 thf(c_0_141, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 28.75/4.11 thf(c_0_142, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 28.75/4.11 thf(c_0_143, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X369:$i]:((((X1 @ X369))&![X370:$i]:((((X1 @ X370))=>((X369)=(X370)))))))))))), inference(apply_def,[status(thm)],[c_0_128, c_0_129])). 28.75/4.11 thf(c_0_144, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_130])). 28.75/4.11 thf(c_0_145, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X367:$i]:((((X1 @ X367))&![X368:$i]:((((X1 @ X368))=>((X367)=(X368))))))))))), inference(apply_def,[status(thm)],[c_0_131, c_0_129])). 28.75/4.11 thf(c_0_146, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X375:$i]:((((X1 @ X375))&![X376:$i]:((((X1 @ X376))=>((X375)=(X376)))))))<=>(?[X377:$i]:((((X17 @ X377))&![X378:$i]:((((X17 @ X378))=>((X377)=(X378)))))))))))), inference(apply_def,[status(thm)],[c_0_132, c_0_129])). 28.75/4.11 thf(c_0_147, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 28.75/4.11 thf(c_0_148, plain, ((exuEu)=(![X1:$i > $o]:(((?[X379:$i]:((((X1 @ X379))&![X380:$i]:((((X1 @ X380))=>((X379)=(X380)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_133, c_0_129])). 28.75/4.11 thf(c_0_149, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 28.75/4.11 thf(c_0_150, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 28.75/4.11 thf(c_0_151, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X381:$i]:((((X1 @ X381))&![X382:$i]:((((X1 @ X382))=>((X381)=(X382)))))))=>((?[X383:$i]:((((X17 @ X383))&![X384:$i]:((((X17 @ X384))=>((X383)=(X384)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_134, c_0_129])). 28.75/4.11 thf(c_0_152, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X357:$i]:((((X6 @ X2 @ X357))&![X358:$i]:((((X6 @ X2 @ X358))=>((X357)=(X358)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_135, c_0_129])). 28.75/4.11 thf(c_0_153, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 28.75/4.11 thf(c_0_154, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 28.75/4.11 thf(c_0_155, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 28.75/4.11 thf(c_0_156, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X373:$i]:((((X1 @ X373))&![X374:$i]:((((X1 @ X374))=>((X373)=(X374)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_129])). 28.75/4.11 thf(c_0_157, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X371:$i]:((((X1 @ X371))&![X372:$i]:((((X1 @ X372))=>((X371)=(X372))))))))))), inference(apply_def,[status(thm)],[c_0_137, c_0_129])). 28.75/4.11 thf(c_0_158, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])). 28.75/4.11 thf(c_0_159, plain, ((exuE2)=(![X1:$i > $o]:(((?[X365:$i]:((((X1 @ X365))&![X366:$i]:((((X1 @ X366))=>((X365)=(X366)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_138, c_0_129])). 28.75/4.11 thf(c_0_160, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 28.75/4.11 thf(c_0_161, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_130])). 28.75/4.11 thf(c_0_162, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_139, c_0_130])). 28.75/4.11 thf(c_0_163, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_130])). 28.75/4.11 thf(c_0_164, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X363:$i]:((((X1 @ X363))&![X364:$i]:((((X1 @ X364))=>((X363)=(X364)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_140, c_0_129])). 28.75/4.11 thf(c_0_165, plain, ((exuE1)=(![X1:$i > $o]:(((?[X361:$i]:((((X1 @ X361))&![X362:$i]:((((X1 @ X362))=>((X361)=(X362)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_141, c_0_129])). 28.75/4.11 thf(c_0_166, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 28.75/4.11 thf(c_0_167, plain, ((descrp)=(![X1:$i > $o]:(((?[X359:$i]:((((X1 @ X359))&![X360:$i]:((((X1 @ X360))=>((X359)=(X360)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_142, c_0_129])). 28.75/4.11 thf(c_0_168, plain, ((epred1_0)<=>![X714:$i]:(?[X715:$i]:((((![X716:$i]:(((in @ X716 @ X715)=>![X717:$i]:(((in @ X717 @ X716)=>(in @ X717 @ X714)))))&![X718:$i, X719:$i]:((((in @ X718 @ X714)&(in @ X719 @ X714))=>(![X720:$i]:(((in @ X720 @ X715)=>((in @ X718 @ X720)<=>(in @ X719 @ X720))))=>((X718)=(X719))))))&![X721:$i, X722:$i]:((((in @ X721 @ X715)&(in @ X722 @ X715))=>(![X723:$i]:(((in @ X723 @ X721)=>(in @ X723 @ X722)))|![X724:$i]:(((in @ X724 @ X722)=>(in @ X724 @ X721)))))))&![X725:$i]:(((![X726:$i]:(((in @ X726 @ X725)=>(in @ X726 @ X714)))&?[X727:$i]:((in @ X727 @ X725)))=>?[X728:$i, X729:$i]:(((((in @ X728 @ X715)&(in @ X729 @ X725))&~(?[X730:$i]:(((in @ X730 @ X728)&(in @ X730 @ X725)))))&![X731:$i]:(((in @ X731 @ X715)=>(![X732:$i]:(((in @ X732 @ X731)=>(in @ X732 @ X728)))|(in @ X729 @ X731)))))))))))), introduced(definition)). 28.75/4.11 thf(c_0_169, negated_conjecture, ~((![X745:$i, X746:$i]:((![X747:$i]:(((in @ X747 @ X745)<=>(in @ X747 @ X746)))=>((X745)=(X746))))=>(![X385:$i]:(~(in @ X385 @ emptyset))=>(![X742:$i, X743:$i, X744:$i]:(((in @ X744 @ (setadjoin @ X742 @ X743))<=>(((X744)=(X742))|(in @ X744 @ X743))))=>(![X386:$i, X387:$i]:(((in @ X387 @ (powerset @ X386))<=>![X388:$i]:(((in @ X388 @ X387)=>(in @ X388 @ X386)))))=>(![X389:$i, X390:$i]:(((in @ X390 @ (setunion @ X389))<=>?[X391:$i]:(((in @ X390 @ X391)&(in @ X391 @ X389)))))=>((in @ emptyset @ omega)=>(![X741:$i]:(((in @ X741 @ omega)=>(in @ (setadjoin @ X741 @ X741) @ omega)))=>(![X392:$i]:((((in @ emptyset @ X392)&![X393:$i]:((((in @ X393 @ omega)&(in @ X393 @ X392))=>(in @ (setadjoin @ X393 @ X393) @ X392))))=>![X394:$i]:(((in @ X394 @ omega)=>(in @ X394 @ X392)))))=>(![X733:$i > $i > $o, X734:$i]:((![X735:$i]:(((in @ X735 @ X734)=>?[X736:$i]:(((X733 @ X735 @ X736)&![X737:$i]:(((X733 @ X735 @ X737)=>((X736)=(X737))))))))=>?[X738:$i]:(![X739:$i]:(((in @ X739 @ X738)<=>?[X740:$i]:(((in @ X740 @ X734)&(X733 @ X740 @ X739))))))))=>(![X395:$i]:((?[X396:$i]:((in @ X396 @ X395))=>?[X397:$i]:(((in @ X397 @ X395)&~(?[X398:$i]:(((in @ X398 @ X397)&(in @ X398 @ X395))))))))=>((epred1_0)=>(![X399:$i > $o]:((?[X400:$i]:(((X399 @ X400)&![X401:$i]:(((X399 @ X401)=>((X400)=(X401))))))=>(X399 @ (descr @ (^[Z0/* 17 */:$i]:(X399 @ Z0))))))=>(![X711:$i, X712:$i > $o, X713:$i]:(((in @ X713 @ X711)=>((X712 @ X713)=>(in @ X713 @ (dsetconstr @ X711 @ X712)))))=>(![X708:$i, X709:$i > $o, X710:$i]:(((in @ X710 @ (dsetconstr @ X708 @ X709))=>(in @ X710 @ X708)))=>(![X402:$i, X403:$i > $o, X404:$i]:(((in @ X404 @ (dsetconstr @ X402 @ X403))=>(X403 @ X404)))=>(![X405:$i > $o]:((?[X406:$i]:(((X405 @ X406)&![X407:$i]:(((X405 @ X407)=>((X406)=(X407))))))=>?[X408:$i]:(((X405 @ X408)&![X409:$i]:(((X405 @ X409)=>((X408)=(X409))))))))=>(![X706:$o, X707:$i]:(((in @ X707 @ (prop2set @ ((X706))))=>(X706)))=>(![X704:$i]:(((in @ X704 @ emptyset)=>![X705:$o]:((X705))))=>(![X410:$i]:(((in @ X410 @ emptyset)=>~($true)))=>(![X411:$i]:(~(in @ X411 @ emptyset))=>(![X412:$i > $o]:((?[X413:$i]:(((X412 @ X413)&![X414:$i]:(((X412 @ X414)=>((X413)=(X414))))))=>?[X415:$i]:((X412 @ X415))))=>(![X700:$i, X701:$i]:((![X702:$i]:(((in @ X702 @ X700)=>(in @ X702 @ X701)))=>(![X703:$i]:(((in @ X703 @ X701)=>(in @ X703 @ X700)))=>((X700)=(X701)))))=>(![X416:$i]:((![X417:$i]:(~(in @ X417 @ X416))=>((X416)=(emptyset))))=>(![X418:$i]:((![X419:$i]:(~(in @ X419 @ X418))=>((X418)=(emptyset))))=>(![X697:$i, X698:$i > $o, X699:$i]:(((in @ X699 @ X697)=>((in @ X699 @ (dsetconstr @ X697 @ X698))<=>(X698 @ X699))))=>(![X420:$i]:((((X420)!=(emptyset))=>?[X421:$i]:((in @ X421 @ X420))))=>(![X422:$i, X423:$i > $o, X424:$i]:(((in @ X424 @ X422)=>((X423 @ X424)=>((dsetconstr @ X422 @ X423)!=(emptyset)))))=>(![X425:$i]:((?[X426:$i]:((in @ X426 @ X425))=>((X425)!=(emptyset))))=>(![X695:$i, X696:$i]:((in @ X695 @ (setadjoin @ X695 @ X696)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X427:$i, X428:$i, X429:$i]:(((in @ X429 @ X428)=>(in @ X429 @ (setadjoin @ X427 @ X428))))=>(![X430:$i, X431:$i, X432:$i]:(((in @ X432 @ (setadjoin @ X430 @ X431))=>![X433:$o]:(((((X432)=(X430))=>(X433))=>(((in @ X432 @ X431)=>(X433))=>(X433))))))=>(![X434:$i, X435:$i, X436:$i]:(((in @ X436 @ (setadjoin @ X434 @ X435))=>(((X436)=(X434))|(in @ X436 @ X435))))=>(![X437:$i]:(((dsetconstr @ X437 @ (^[Z0/* 1 */:$i]:($true)))=(X437)))=>(![X692:$i, X693:$i]:((![X694:$i]:(((in @ X694 @ X693)=>(in @ X694 @ X692)))=>(in @ X693 @ (powerset @ X692))))=>(![X691:$i]:((in @ emptyset @ (powerset @ X691)))=>(![X438:$i]:((in @ emptyset @ (powerset @ X438)))=>(![X688:$i, X689:$i, X690:$i]:(((in @ X689 @ (powerset @ X688))=>((in @ X690 @ X689)=>(in @ X690 @ X688))))=>(![X685:$i, X686:$i, X687:$i]:(((in @ X686 @ X687)=>((in @ X687 @ X685)=>(in @ X686 @ (setunion @ X685)))))=>(![X681:$i, X682:$i]:(((in @ X682 @ (setunion @ X681))=>![X683:$o]:((![X684:$i]:(((in @ X682 @ X684)=>((in @ X684 @ X681)=>(X683))))=>(X683)))))=>(![X679:$i, X680:$i]:(((in @ X680 @ X679)=>(in @ X680 @ (powerset @ (setunion @ X679)))))=>(![X439:$i > $o]:((?[X440:$i]:(((X439 @ X440)&![X441:$i]:(((X439 @ X441)=>((X440)=(X441))))))=>?[X442:$i]:(![X443:$i]:(((X439 @ X443)<=>((X443)=(X442)))))))=>(![X677:$i]:((((X677)!=(emptyset))=>?[X678:$i]:(((in @ X678 @ X677)&$true))))=>(![X675:$i, X676:$i]:(((in @ X675 @ (setadjoin @ X676 @ emptyset))=>((X675)=(X676))))=>(![X444:$i, X445:$i]:((((X444)!=(X445))=>~(in @ X445 @ (setadjoin @ X444 @ emptyset))))=>(![X673:$i, X674:$i]:((((X673)=(X674))=>(in @ X673 @ (setadjoin @ X674 @ emptyset))))=>(![X671:$i, X672:$i]:(((in @ X671 @ (setadjoin @ X672 @ 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X520:$i]:((((X519)=(X520))=>(subset @ X519 @ X520)))=>(![X635:$i, X636:$i]:((![X637:$i]:(((in @ X637 @ X635)=>(in @ X637 @ X636)))=>(subset @ X635 @ X636)))=>(![X634:$i]:((subset @ emptyset @ X634))=>(![X521:$i, X522:$i, X523:$i]:(((subset @ X521 @ X522)=>((in @ X523 @ X521)=>(in @ X523 @ X522))))=>(![X631:$i, X632:$i, X633:$i]:(((subset @ X631 @ X632)=>(~(in @ X633 @ X632)=>~(in @ X633 @ X631))))=>(![X628:$i, X629:$i, X630:$i]:(((in @ X630 @ X628)=>(~(in @ X630 @ X629)=>~(subset @ X628 @ X629))))=>(![X524:$i, X525:$i]:((~(subset @ X524 @ X525)=>((X524)!=(X525))))=>(![X625:$i, X626:$i, X627:$i]:(((in @ X627 @ X625)=>(~(in @ X627 @ X626)=>((X625)!=(X626)))))=>(![X624:$i]:((subset @ X624 @ X624))=>(![X621:$i, X622:$i, X623:$i]:(((subset @ X621 @ X622)=>((subset @ X622 @ X623)=>(subset @ X621 @ X623))))=>(![X526:$i, X527:$i]:((subset @ X527 @ (setadjoin @ X526 @ X527)))=>(![X618:$i, X619:$i, X620:$i]:(((subset @ X618 @ X620)=>(subset @ X618 @ (setadjoin @ X619 @ X620))))=>(![X528:$i, 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X606:$o]:(((in @ X605 @ (binunion @ X603 @ X604))=>(((in @ X605 @ X603)=>(X606))=>(((in @ X605 @ X604)=>(X606))=>(X606)))))=>(![X600:$i, X601:$i, X602:$i]:(((in @ X602 @ (binunion @ X600 @ X601))=>((in @ X602 @ X600)|(in @ X602 @ X601))))=>(![X598:$i, X599:$i]:((subset @ X598 @ (binunion @ X598 @ X599)))=>(![X541:$i, X542:$i]:((subset @ X542 @ (binunion @ X541 @ X542)))=>(![X543:$i, X544:$i, X545:$i]:(((in @ X545 @ X543)=>((in @ X545 @ X544)=>(in @ X545 @ (binintersect @ X543 @ X544)))))=>(![X595:$i, X596:$i, X597:$i]:(((subset @ X597 @ X595)=>((subset @ X597 @ X596)=>(subset @ X597 @ (binintersect @ X595 @ X596)))))=>(![X592:$i, X593:$i, X594:$i]:(((in @ X594 @ (binintersect @ X592 @ X593))=>(in @ X594 @ X592)))=>(![X546:$i, X547:$i]:((subset @ (binintersect @ X546 @ X547) @ X546))=>(![X548:$i, X549:$i]:(((subset @ X548 @ X549)=>((binintersect @ X548 @ X549)=(X548))))=>(![X590:$i, X591:$i]:((((binintersect @ X590 @ X591)=(X591))=>(subset @ X591 @ X590)))=>(![X550:$i, X551:$i, X552:$i]:(((in @ X552 @ (binintersect @ X550 @ X551))=>(in @ X552 @ X551)))=>(![X587:$i, X588:$i]:((~(?[X589:$i]:(((in @ X589 @ X587)&(in @ X589 @ X588))))=>((binintersect @ X587 @ X588)=(emptyset))))=>(![X553:$i, X554:$i]:((subset @ (binintersect @ X553 @ X554) @ X554))=>(![X555:$i, X556:$i]:(((subset @ X556 @ X555)=>((binintersect @ X555 @ X556)=(X556))))=>(![X585:$i, X586:$i]:((((binintersect @ X585 @ X586)=(X585))=>(subset @ X585 @ X586)))=>(![X582:$i, X583:$i, X584:$i]:(((binintersect @ X582 @ (binunion @ X583 @ X584))=(binunion @ (binintersect @ X582 @ X583) @ (binintersect @ X582 @ X584))))=>(![X579:$i, X580:$i, X581:$i]:(((in @ X581 @ X579)=>(~(in @ X581 @ X580)=>(in @ X581 @ (setminus @ X579 @ X580)))))=>(![X576:$i, X577:$i, X578:$i]:(((in @ X578 @ (setminus @ X576 @ X577))=>(in @ X578 @ X576)))=>(![X557:$i, X558:$i, X559:$i]:(((in @ X559 @ (setminus @ X557 @ X558))=>~(in @ X559 @ X558)))=>(![X560:$i, X561:$i]:(((subset @ X560 @ X561)=>((setminus @ X560 @ X561)=(emptyset))))=>(![X573:$i, X574:$i, X575:$i]:((~(in @ X575 @ (setminus @ X573 @ X574))=>((in @ X575 @ X573)=>(in @ X575 @ X574))))=>(![X562:$i, X563:$i, X564:$i]:((~(in @ X564 @ (setminus @ X562 @ X563))=>(~(in @ X564 @ X563)=>~(in @ X564 @ X562))))=>(![X565:$i, X566:$i, X567:$i]:((~(in @ X567 @ X565)=>~(in @ X567 @ (setminus @ X565 @ X566))))=>(![X570:$i, X571:$i, X572:$i]:(((in @ X572 @ X571)=>~(in @ X572 @ (setminus @ X570 @ X571))))=>(![X568:$i, X569:$i]:((subset @ (setminus @ X568 @ X569) @ X568))=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[setminusSubset1]), c_0_143]), setextAx]), c_0_144]), c_0_145]), subPowSU]), c_0_146]), setunionE]), setunionI]), emptyset__Cong]), powersetE]), emptyinPowerset]), powersetI]), setadjoin__Cong]), setadjoinIL]), c_0_147]), setunion__Cong]), setext]), emptysetE]), prop2setE]), c_0_148]), c_0_149]), c_0_150]), wellorderingAx]), c_0_151]), c_0_152]), omegaSAx]), omega0Ax]), c_0_153]), setadjoinAx]), binintersectER]), eqimpsubset2]), eqimpsubset1]), subsetE]), notequalI1]), setadjoinSub]), subset2powerset]), powersetI1]), c_0_154]), c_0_155]), in__Cong]), binunionIL]), upairset2IR]), binunionRsub]), binintersectI]), binintersectLsub]), binintersectSubset2]), upairsetE]), singletonsswitch]), eqinunit]), uniqinunit]), binintersectRsub]), binintersectSubset4]), setminusER]), setminusSubset2]), setminusELneg]), setminusILneg]), setminusLsub]), setminusIRneg]), setminusERneg]), c_0_156]), setminusEL]), setminusI]), bs114d]), binintersectSubset1]), disjointsetsI1]), binintersectSubset3]), binintersectEL]), binintersectSubset5]), binunionLsub]), binunionE]), binunionEcases]), binunionIR]), powersetsubset]), inPowerset]), powersetE1]), subsetemptysetimpeq]), setextsub]), setadjoinSub2]), subsetTrans]), subsetRefl]), notequalI2]), notsubsetI]), subsetE2]), emptysetsubset]), subsetI2]), subsetI1]), omega__Cong]), powerset__Cong]), inCongP]), c_0_157]), prop2setI]), quantDeMorgan4]), quantDeMorgan1]), c_0_158]), upairsetIR]), upairsetIL]), notdallE]), notdexE]), quantDeMorgan3]), quantDeMorgan2]), vacuousDall]), notinsingleton]), c_0_159]), emptyInPowerset]), c_0_160]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), c_0_161]), c_0_162]), c_0_163]), noeltsimpempty]), emptyI]), c_0_164]), notinemptyset]), emptysetimpfalse]), c_0_165]), c_0_166]), c_0_167]), foundationAx]), omegaIndAx]), setunionAx]), powersetAx]), emptysetAx])])]), c_0_168])). 28.75/4.11 thf(c_0_170, negated_conjecture, ![X748:$i, X749:$i, X751:$i, X752:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$i, X761:$i, X762:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X770:$i, X771:$i > $i > $o, X772:$i, X774:$i, X777:$i, X779:$i, X780:$i, X781:$i, X782:$i, X784:$i, X785:$i > $o, X786:$i, X788:$i, X789:$i > $o, X790:$i, X791:$i, X792:$i > $o, X793:$i, X794:$i, X795:$i > $o, X796:$i, X797:$i > $o, X798:$i, X801:$i, X802:$o, X803:$i, X804:$i, X805:$o, X806:$i, X807:$i, X808:$i > $o, X809:$i, X812:$i, X813:$i, X816:$i, X818:$i, X820:$i, X821:$i > $o, X822:$i, X823:$i, X825:$i, X826:$i > $o, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$o, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$o, X858:$i, X859:$i, X860:$i > $o, X861:$i, X864:$i, X865:$i, X866:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i > $o, X885:$i, X886:$i > $o, X887:$i, X888:$i, X889:$i > $o, X890:$i, X892:$i, X893:$i > $o, X895:$i, X896:$i, X897:$i > $o, X899:$i, X900:$i, X901:$i > $o, X902:$i, X904:$o, X905:$i, X906:$i > $o, X908:$i, X909:$i, X910:$i > $o, X911:$i, X913:$i > $o, X914:$i, X917:$i, X918:$i > $o, X919:$i, X923:$i, X924:$i > $o, X925:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i > $o, X938:$i, X940:$i, X941:$i, X942:$i > $o, X943:$i > $o, X946:$i, X949:$i, X950:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i > $o, X963:$i, X965:$i, X966:$i, X967:$i > $o, X968:$i > $o, X971:$i, X973:$i, X975:$i, X976:$i, X977:$i > $o, X978:$i > $o, X981:$i, X982:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i > $o, X1029:$i, X1030:$i > $o, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$o, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1071:$i, X1072:$i, X1073:$i, X1074:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$i, X1083:$i, X1084:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i]:((((~(in @ (esk1_2 @ X748 @ X749) @ X748)|~(in @ (esk1_2 @ X748 @ X749) @ X749)|((X748)=(X749)))&((in @ (esk1_2 @ X748 @ X749) @ X748)|(in @ (esk1_2 @ X748 @ X749) @ X749)|((X748)=(X749))))&(~(in @ X751 @ emptyset)&(((~(in @ X754 @ (setadjoin @ X752 @ X753))|(((X754)=(X752))|(in @ X754 @ X753)))&((((X754)!=(X752))|(in @ X754 @ (setadjoin @ X752 @ X753)))&(~(in @ X754 @ X753)|(in @ X754 @ (setadjoin @ X752 @ X753)))))&(((~(in @ X756 @ (powerset @ X755))|(~(in @ X757 @ X756)|(in @ X757 @ X755)))&(((in @ (esk2_2 @ X758 @ X759) @ X759)|(in @ X759 @ (powerset @ X758)))&(~(in @ (esk2_2 @ X758 @ X759) @ X758)|(in @ X759 @ (powerset @ X758)))))&(((((in @ X762 @ (esk3_2 @ X761 @ X762))|~(in @ X762 @ (setunion @ X761)))&((in @ (esk3_2 @ X761 @ X762) @ X761)|~(in @ X762 @ (setunion @ X761))))&(~(in @ X765 @ X766)|~(in @ X766 @ X764)|(in @ X765 @ (setunion @ X764))))&((in @ emptyset @ omega)&((~(in @ X767 @ omega)|(in @ (setadjoin @ X767 @ X767) @ omega))&(((((in @ (esk4_1 @ X768) @ omega)|~(in @ emptyset @ X768)|(~(in @ X770 @ omega)|(in @ X770 @ X768)))&((in @ (esk4_1 @ X768) @ X768)|~(in @ emptyset @ X768)|(~(in @ X770 @ omega)|(in @ X770 @ X768))))&(~(in @ (setadjoin @ (esk4_1 @ X768) @ (esk4_1 @ X768)) @ X768)|~(in @ emptyset @ X768)|(~(in @ X770 @ omega)|(in @ X770 @ X768))))&((((((in @ (esk8_3 @ X771 @ X772 @ X777) @ X772)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|(in @ (esk5_2 @ X771 @ X772) @ X772))&((X771 @ (esk8_3 @ X771 @ X772 @ X777) @ X777)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|(in @ (esk5_2 @ X771 @ X772) @ X772)))&(~(in @ X780 @ X772)|~(X771 @ X780 @ X779)|(in @ X779 @ (esk7_2 @ X771 @ X772))|(in @ (esk5_2 @ X771 @ X772) @ X772)))&(((((in @ (esk8_3 @ X771 @ X772 @ X777) @ X772)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|((X771 @ (esk5_2 @ X771 @ X772) @ (esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774)))&((X771 @ (esk8_3 @ X771 @ X772 @ X777) @ X777)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|((X771 @ (esk5_2 @ X771 @ X772) @ (esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774))))&(~(in @ X780 @ X772)|~(X771 @ X780 @ X779)|(in @ X779 @ (esk7_2 @ X771 @ X772))|((X771 @ (esk5_2 @ X771 @ X772) @ (esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774))))&((((in @ (esk8_3 @ X771 @ X772 @ X777) @ X772)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|(((X774)!=(esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774)))&((X771 @ (esk8_3 @ X771 @ X772 @ X777) @ X777)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|(((X774)!=(esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774))))&(~(in @ X780 @ X772)|~(X771 @ X780 @ X779)|(in @ X779 @ (esk7_2 @ X771 @ X772))|(((X774)!=(esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774))))))&((((in @ (esk9_1 @ X781) @ X781)|~(in @ X782 @ X781))&(~(in @ X784 @ (esk9_1 @ X781))|~(in @ X784 @ X781)|~(in @ X782 @ X781)))&((epred1_0)&((((X785 @ (esk10_2 @ X785 @ X786))|~(X785 @ X786)|(X785 @ (descr @ X785)))&(((X786)!=(esk10_2 @ X785 @ X786))|~(X785 @ X786)|(X785 @ (descr @ X785))))&((~(in @ X790 @ X788)|(~(X789 @ X790)|(in @ X790 @ (dsetconstr @ X788 @ X789))))&((~(in @ X793 @ (dsetconstr @ X791 @ X792))|(in @ X793 @ X791))&((~(in @ X796 @ (dsetconstr @ X794 @ X795))|(X795 @ X796))&(((((X797 @ (esk12_1 @ X797))|((X797 @ (esk11_2 @ X797 @ X798))|~(X797 @ X798)))&(~(X797 @ X801)|((esk12_1 @ X797)=(X801))|((X797 @ (esk11_2 @ X797 @ X798))|~(X797 @ X798))))&(((X797 @ (esk12_1 @ X797))|(((X798)!=(esk11_2 @ X797 @ X798))|~(X797 @ X798)))&(~(X797 @ X801)|((esk12_1 @ X797)=(X801))|(((X798)!=(esk11_2 @ X797 @ X798))|~(X797 @ X798)))))&((~(in @ X803 @ (prop2set @ ((X802))))|(X802))&((~(in @ X804 @ emptyset)|(X805))&((~(in @ X806 @ emptyset)|~($true))&(~(in @ X807 @ emptyset)&((((X808 @ (esk13_2 @ X808 @ X809))|~(X808 @ X809)|(X808 @ (esk14_1 @ X808)))&(((X809)!=(esk13_2 @ X808 @ X809))|~(X808 @ X809)|(X808 @ (esk14_1 @ X808))))&(((((in @ (esk16_2 @ X812 @ X813) @ X813)|((X812)=(X813))|(in @ (esk15_2 @ X812 @ X813) @ X812))&(~(in @ (esk16_2 @ X812 @ X813) @ X812)|((X812)=(X813))|(in @ (esk15_2 @ X812 @ X813) @ X812)))&(((in @ (esk16_2 @ X812 @ X813) @ X813)|((X812)=(X813))|~(in @ (esk15_2 @ X812 @ X813) @ X813))&(~(in @ (esk16_2 @ X812 @ X813) @ X812)|((X812)=(X813))|~(in @ (esk15_2 @ X812 @ X813) @ X813))))&(((in @ (esk17_1 @ X816) @ X816)|((X816)=(emptyset)))&(((in @ (esk18_1 @ X818) @ X818)|((X818)=(emptyset)))&(((~(in @ X822 @ (dsetconstr @ X820 @ X821))|(X821 @ X822)|~(in @ X822 @ X820))&(~(X821 @ X822)|(in @ X822 @ (dsetconstr @ X820 @ X821))|~(in @ X822 @ X820)))&((((X823)=(emptyset))|(in @ (esk19_1 @ X823) @ X823))&((~(in @ X827 @ X825)|(~(X826 @ X827)|((dsetconstr @ X825 @ X826)!=(emptyset))))&((~(in @ X829 @ X828)|((X828)!=(emptyset)))&((in @ X830 @ (setadjoin @ X830 @ X831))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X834 @ X833)|(in @ X834 @ (setadjoin @ X832 @ X833)))&(((((in @ X837 @ X836)|(X838)|((X837)=(X835))|~(in @ X837 @ (setadjoin @ X835 @ X836)))&(~(X838)|(X838)|((X837)=(X835))|~(in @ X837 @ (setadjoin @ X835 @ X836))))&(((in @ X837 @ X836)|(X838)|~(X838)|~(in @ X837 @ (setadjoin @ X835 @ X836)))&(~(X838)|(X838)|~(X838)|~(in @ X837 @ (setadjoin @ X835 @ X836)))))&((~(in @ X841 @ (setadjoin @ X839 @ X840))|(((X841)=(X839))|(in @ X841 @ X840)))&(((dsetconstr @ X842 @ (^[Z0/* 1 */:$i]:($true)))=(X842))&((((in @ (esk20_2 @ X843 @ X844) @ X844)|(in @ X844 @ (powerset @ X843)))&(~(in @ (esk20_2 @ X843 @ X844) @ X843)|(in @ X844 @ (powerset @ X843))))&((in @ emptyset @ (powerset @ X846))&((in @ emptyset @ (powerset @ X847))&((~(in @ X849 @ (powerset @ X848))|(~(in @ X850 @ X849)|(in @ X850 @ X848)))&((~(in @ X852 @ X853)|(~(in @ X853 @ X851)|(in @ X852 @ (setunion @ X851))))&((((in @ X855 @ (esk21_3 @ X854 @ X855 @ X856))|(X856)|~(in @ X855 @ (setunion @ X854)))&(((in @ (esk21_3 @ X854 @ X855 @ X856) @ X854)|(X856)|~(in @ X855 @ (setunion @ X854)))&(~(X856)|(X856)|~(in @ X855 @ (setunion @ X854)))))&((~(in @ X859 @ X858)|(in @ X859 @ (powerset @ (setunion @ X858))))&((((~(X860 @ X864)|((X864)=(esk23_1 @ X860))|((X860 @ 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X925)!=(X925))))&(~(X924 @ X928)|((esk37_1 @ X924)=(X928))|(~(X924 @ (esk36_2 @ X924 @ X925))|((esk36_2 @ X924 @ X925)!=(X925)))))&(((X924 @ (esk37_1 @ X924))|((X924 @ (esk36_2 @ X924 @ X925))|((esk36_2 @ X924 @ X925)=(X925))))&(~(X924 @ X928)|((esk37_1 @ X924)=(X928))|((X924 @ (esk36_2 @ X924 @ X925))|((esk36_2 @ X924 @ X925)=(X925))))))&((((X929)!=(X930))|(((X931)!=(X932))|(~(in @ X931 @ X929)|(in @ X932 @ X930))))&(((~(in @ X935 @ X933)|(in @ X936 @ X934)|((X935)!=(X936))|((X933)!=(X934)))&(~(in @ X936 @ X934)|(in @ X935 @ X933)|((X935)!=(X936))|((X933)!=(X934))))&((((X937 @ (esk38_2 @ X937 @ X938))|~(X937 @ X938)|(~(X937 @ X940)|(~(X937 @ X941)|((X940)=(X941)))))&(((X938)!=(esk38_2 @ X937 @ X938))|~(X937 @ X938)|(~(X937 @ X940)|(~(X937 @ X941)|((X940)=(X941))))))&(((((((X943 @ (esk42_2 @ X942 @ X943))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943))))&(((X943 @ (esk42_2 @ X942 @ X943))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))))&((((X942 @ (esk44_2 @ X942 @ X943))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943))))&(((X942 @ (esk44_2 @ X942 @ X943))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943))))))&((((((X943 @ (esk42_2 @ X942 @ X943))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943)))))&(((X943 @ (esk42_2 @ X942 @ X943))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))))&((((X942 @ (esk44_2 @ X942 @ X943))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943)))))&(((X942 @ (esk44_2 @ X942 @ X943))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943)))))))&(((((X943 @ (esk42_2 @ X942 @ X943))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943)))))&(((X943 @ (esk42_2 @ X942 @ X943))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))))&((((X942 @ (esk44_2 @ X942 @ X943))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943)))))&(((X942 @ (esk44_2 @ X942 @ X943))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943)))))))))&(((emptyset)=(emptyset))&((((X954)!=(X955))|(((X956)!=(X957))|((setadjoin @ X954 @ X956)=(setadjoin @ X955 @ X957))))&((((X958)!=(X959))|((powerset @ X958)=(powerset @ X959)))&((((X960)!=(X961))|((setunion @ X960)=(setunion @ X961)))&(((omega)=(omega))&((((X962 @ (esk45_2 @ X962 @ X963))|~(X962 @ X963)|(~(X962 @ X965)|(~(X962 @ X966)|((X965)=(X966)))))&(((X963)!=(esk45_2 @ X962 @ X963))|~(X962 @ X963)|(~(X962 @ X965)|(~(X962 @ X966)|((X965)=(X966))))))&((((((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((esk46_2 @ X967 @ X968)=(esk47_2 @ X967 @ X968)))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((esk46_2 @ X967 @ X968)=(esk47_2 @ X967 @ X968))))&(((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((esk46_2 @ X967 @ X968)=(esk47_2 @ X967 @ X968)))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((esk46_2 @ X967 @ X968)=(esk47_2 @ X967 @ X968)))))&(((((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|(~(X967 @ (esk46_2 @ X967 @ X968))|~(X968 @ (esk47_2 @ X967 @ X968))))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|(~(X967 @ (esk46_2 @ X967 @ X968))|~(X968 @ (esk47_2 @ X967 @ X968)))))&(((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|(~(X967 @ (esk46_2 @ X967 @ X968))|~(X968 @ (esk47_2 @ X967 @ X968))))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|(~(X967 @ (esk46_2 @ X967 @ X968))|~(X968 @ (esk47_2 @ X967 @ X968))))))&((((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((X967 @ (esk46_2 @ X967 @ X968))|(X968 @ (esk47_2 @ X967 @ X968))))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((X967 @ (esk46_2 @ X967 @ X968))|(X968 @ (esk47_2 @ X967 @ X968)))))&(((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((X967 @ (esk46_2 @ X967 @ X968))|(X968 @ (esk47_2 @ X967 @ X968))))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((X967 @ (esk46_2 @ X967 @ X968))|(X968 @ (esk47_2 @ X967 @ X968))))))))&((((in @ (esk50_4 @ X975 @ X976 @ X977 @ X978) @ X975)|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))&(((in @ (esk51_4 @ X975 @ X976 @ X977 @ X978) @ X976)|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))&((((esk50_4 @ X975 @ X976 @ X977 @ X978)=(esk51_4 @ X975 @ X976 @ X977 @ X978))|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))&((~(X977 @ (esk50_4 @ X975 @ X976 @ X977 @ X978))|~(X978 @ (esk51_4 @ X975 @ X976 @ X977 @ X978))|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))&((X977 @ (esk50_4 @ X975 @ X976 @ X977 @ X978))|(X978 @ (esk51_4 @ X975 @ X976 @ X977 @ X978))|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))))))&((((in @ (esk52_2 @ X981 @ X982) @ X981)|(subset @ X981 @ X982))&(~(in @ (esk52_2 @ X981 @ X982) @ X982)|(subset @ X981 @ X982)))&((((X984)!=(X985))|(subset @ X985 @ X984))&((((X986)!=(X987))|(subset @ X986 @ X987))&((((in @ (esk53_2 @ X988 @ X989) @ X988)|(subset @ X988 @ X989))&(~(in @ (esk53_2 @ X988 @ X989) @ X989)|(subset @ X988 @ X989)))&((subset @ emptyset @ X991)&((~(subset @ X992 @ X993)|(~(in @ X994 @ X992)|(in @ X994 @ X993)))&((~(subset @ X995 @ X996)|((in @ X997 @ X996)|~(in @ X997 @ X995)))&((~(in @ X1000 @ X998)|((in @ X1000 @ X999)|~(subset @ X998 @ X999)))&(((subset @ X1001 @ X1002)|((X1001)!=(X1002)))&((~(in @ X1005 @ X1003)|((in @ X1005 @ X1004)|((X1003)!=(X1004))))&((subset @ X1006 @ X1006)&((~(subset @ X1007 @ X1008)|(~(subset @ X1008 @ X1009)|(subset @ X1007 @ X1009)))&((subset @ X1011 @ (setadjoin @ X1010 @ X1011))&((~(subset @ X1012 @ X1014)|(subset @ X1012 @ (setadjoin @ X1013 @ X1014)))&((~(subset @ X1015 @ X1016)|(in @ X1015 @ (powerset @ X1016)))&((~(subset @ X1017 @ X1018)|(~(subset @ X1018 @ X1017)|((X1017)=(X1018))))&((~(subset @ X1019 @ emptyset)|((X1019)=(emptyset)))&((~(subset @ X1021 @ X1020)|(in @ X1021 @ (powerset @ X1020)))&((~(in @ X1023 @ (powerset @ X1022))|(subset @ X1023 @ X1022))&((in @ X1024 @ (powerset @ X1024))&((~(subset @ X1025 @ X1026)|(subset @ (powerset @ X1025) @ (powerset @ X1026)))&((in @ (dsetconstr @ X1027 @ X1028) @ (powerset @ X1027))&((subset @ (dsetconstr @ X1029 @ X1030) @ X1029)&((~(in @ X1033 @ X1031)|(in @ X1033 @ (binunion @ X1031 @ X1032)))&((in @ X1035 @ (setadjoin @ X1034 @ (setadjoin @ X1035 @ emptyset)))&((~(in @ X1038 @ X1037)|(in @ X1038 @ (binunion @ X1036 @ X1037)))&(((((in @ X1041 @ X1040)|(X1042)|(in @ X1041 @ X1039)|~(in @ X1041 @ (binunion @ X1039 @ X1040)))&(~(X1042)|(X1042)|(in @ X1041 @ X1039)|~(in @ X1041 @ (binunion @ X1039 @ X1040))))&(((in @ X1041 @ X1040)|(X1042)|~(X1042)|~(in @ X1041 @ (binunion @ X1039 @ X1040)))&(~(X1042)|(X1042)|~(X1042)|~(in @ X1041 @ (binunion @ X1039 @ X1040)))))&((~(in @ X1045 @ (binunion @ X1043 @ X1044))|((in @ X1045 @ X1043)|(in @ X1045 @ X1044)))&((subset @ X1046 @ (binunion @ X1046 @ X1047))&((subset @ X1049 @ (binunion @ X1048 @ X1049))&((~(in @ X1052 @ X1050)|(~(in @ X1052 @ X1051)|(in @ X1052 @ (binintersect @ X1050 @ X1051))))&((~(subset @ X1055 @ X1053)|(~(subset @ X1055 @ X1054)|(subset @ X1055 @ (binintersect @ X1053 @ X1054))))&((~(in @ X1058 @ (binintersect @ X1056 @ X1057))|(in @ X1058 @ X1056))&((subset @ (binintersect @ X1059 @ X1060) @ X1059)&((~(subset @ X1061 @ X1062)|((binintersect @ X1061 @ X1062)=(X1061)))&((((binintersect @ X1063 @ X1064)!=(X1064))|(subset @ X1064 @ X1063))&((~(in @ X1067 @ (binintersect @ X1065 @ X1066))|(in @ X1067 @ X1066))&((((in @ (esk54_2 @ X1068 @ X1069) @ X1068)|((binintersect @ X1068 @ X1069)=(emptyset)))&((in @ (esk54_2 @ X1068 @ X1069) @ X1069)|((binintersect @ X1068 @ X1069)=(emptyset))))&((subset @ (binintersect @ X1071 @ X1072) @ X1072)&((~(subset @ X1074 @ X1073)|((binintersect @ X1073 @ X1074)=(X1074)))&((((binintersect @ X1075 @ X1076)!=(X1075))|(subset @ X1075 @ X1076))&(((binintersect @ X1077 @ (binunion @ X1078 @ X1079))=(binunion @ (binintersect @ X1077 @ X1078) @ (binintersect @ X1077 @ X1079)))&((~(in @ X1082 @ X1080)|((in @ X1082 @ X1081)|(in @ X1082 @ (setminus @ X1080 @ X1081))))&((~(in @ X1085 @ (setminus @ X1083 @ X1084))|(in @ X1085 @ X1083))&((~(in @ X1088 @ (setminus @ X1086 @ X1087))|~(in @ X1088 @ X1087))&((~(subset @ X1089 @ X1090)|((setminus @ X1089 @ X1090)=(emptyset)))&(((in @ X1093 @ (setminus @ X1091 @ X1092))|(~(in @ X1093 @ X1091)|(in @ X1093 @ X1092)))&(((in @ X1096 @ (setminus @ X1094 @ X1095))|((in @ X1096 @ X1095)|~(in @ X1096 @ X1094)))&(((in @ X1099 @ X1097)|~(in @ X1099 @ (setminus @ X1097 @ X1098)))&((~(in @ X1102 @ X1101)|~(in @ X1102 @ (setminus @ X1100 @ X1101)))&((subset @ (setminus @ X1103 @ X1104) @ X1103)&(((setminus @ esk55_0 @ esk56_0)=(emptyset))&~(subset @ esk55_0 @ esk56_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_169])])])])])])])). 28.75/4.11 thf(c_0_171, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setminus @ X3 @ X4))|(in @ X2 @ X4)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_170])). 28.75/4.11 thf(c_0_172, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_170])). 28.75/4.11 thf(c_0_173, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ (setminus @ X2 @ X4))|(in @ (esk53_2 @ X2 @ X3) @ X4)|(subset @ X2 @ X3))), inference(spm,[status(thm)],[c_0_171, c_0_172])). 28.75/4.11 thf(c_0_174, negated_conjecture, ((setminus @ esk55_0 @ esk56_0)=(emptyset)), inference(split_conjunct,[status(thm)],[c_0_170])). 28.75/4.11 thf(c_0_175, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_170])). 28.75/4.11 thf(c_0_176, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_170])). 28.75/4.11 thf(c_0_177, negated_conjecture, ![X2:$i]:(((in @ (esk53_2 @ esk55_0 @ X2) @ esk56_0)|(subset @ esk55_0 @ X2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_174]), c_0_175])). 28.75/4.11 thf(c_0_178, negated_conjecture, ~((subset @ esk55_0 @ esk56_0)), inference(split_conjunct,[status(thm)],[c_0_170])). 28.75/4.11 thf(c_0_179, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_177]), c_0_178]), ['proof']). 28.75/4.11 # SZS output end CNFRefutation 28.75/4.11 # Parsed axioms : 274 28.75/4.11 # Removed by relevancy pruning/SinE : 146 28.75/4.11 # Initial clauses : 242 28.75/4.11 # Removed in clause preprocessing : 17 28.75/4.11 # Initial clauses in saturation : 225 28.75/4.11 # Processed clauses : 16364 28.75/4.11 # ...of these trivial : 282 28.75/4.11 # ...subsumed : 12937 28.75/4.11 # ...remaining for further processing : 3145 28.75/4.11 # Other redundant clauses eliminated : 229 28.75/4.11 # Clauses deleted for lack of memory : 0 28.75/4.11 # Backward-subsumed : 96 28.75/4.11 # Backward-rewritten : 33 28.75/4.11 # Generated clauses : 392379 28.75/4.11 # ...of the previous two non-redundant : 287567 28.75/4.11 # ...aggressively subsumed : 0 28.75/4.11 # Contextual simplify-reflections : 4 28.75/4.11 # Paramodulations : 392063 28.75/4.11 # Factorizations : 72 28.75/4.11 # NegExts : 0 28.75/4.11 # Equation resolutions : 229 28.75/4.11 # Disequality decompositions : 0 28.75/4.11 # Total rewrite steps : 181511 28.75/4.11 # ...of those cached : 173412 28.75/4.11 # Propositional unsat checks : 0 28.75/4.11 # Propositional check models : 0 28.75/4.11 # Propositional check unsatisfiable : 0 28.75/4.11 # Propositional clauses : 0 28.75/4.11 # Propositional clauses after purity: 0 28.75/4.11 # Propositional unsat core size : 0 28.75/4.11 # Propositional preprocessing time : 0.000 28.75/4.11 # Propositional encoding time : 0.000 28.75/4.11 # Propositional solver time : 0.000 28.75/4.11 # Success case prop preproc time : 0.000 28.75/4.11 # Success case prop encoding time : 0.000 28.75/4.11 # Success case prop solver time : 0.000 28.75/4.11 # Current number of processed clauses : 2795 28.75/4.11 # Positive orientable unit clauses : 685 28.75/4.11 # Positive unorientable unit clauses: 0 28.75/4.11 # Negative unit clauses : 43 28.75/4.11 # Non-unit-clauses : 2067 28.75/4.11 # Current number of unprocessed clauses: 271222 28.75/4.11 # ...number of literals in the above : 820951 28.75/4.11 # Current number of archived formulas : 0 28.75/4.11 # Current number of archived clauses : 337 28.75/4.11 # Clause-clause subsumption calls (NU) : 262014 28.75/4.11 # Rec. Clause-clause subsumption calls : 215757 28.75/4.11 # Non-unit clause-clause subsumptions : 12051 28.75/4.11 # Unit Clause-clause subsumption calls : 12307 28.75/4.11 # Rewrite failures with RHS unbound : 0 28.75/4.11 # BW rewrite match attempts : 3466 28.75/4.11 # BW rewrite match successes : 20 28.75/4.11 # Condensation attempts : 0 28.75/4.11 # Condensation successes : 0 28.75/4.11 # Termbank termtop insertions : 5593386 28.75/4.11 # Search garbage collected termcells : 12489 28.75/4.11 28.75/4.11 # ------------------------------------------------- 28.75/4.11 # User time : 3.367 s 28.75/4.11 # System time : 0.138 s 28.75/4.11 # Total time : 3.505 s 28.75/4.11 # Maximum resident set size: 5016 pages 28.75/4.11 28.75/4.11 # ------------------------------------------------- 28.75/4.11 # User time : 3.371 s 28.75/4.11 # System time : 0.139 s 28.75/4.11 # Total time : 3.510 s 28.75/4.11 # Maximum resident set size: 2056 pages 28.75/4.11 % E---3.1 exiting 28.75/4.11 % E exiting 28.75/4.11 EOF