0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n025.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 08:12:24 EDT 2024 0.12/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.49 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.zbrBIoYbjs/E---3.1_27193.p 0.87/180.07 # Version: 3.2.0-ho 0.87/180.07 # Preprocessing class: HSLMSLSSLLLCHFA. 0.87/180.07 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.87/180.07 # Starting ehoh_best5 with 180s (1) cores 0.87/180.07 # Starting almost_fo_3_lam with 180s (1) cores 0.87/180.07 # Starting new_bool_5 with 180s (1) cores 0.87/180.07 # Starting pre_casc_3 with 180s (1) cores 0.87/180.07 # Starting ho_unfolding_8 with 180s (1) cores 0.87/180.07 # Starting new_ho_10_cnf2 with 180s (1) cores 0.87/180.07 # Starting new_bool_3 with 180s (1) cores 0.87/180.07 # Starting new_ho_5 with 180s (1) cores 0.87/180.07 # new_bool_3 with pid 27277 completed with status 0 0.87/180.07 # Result found by new_bool_3 0.87/180.07 # Preprocessing class: HSLMSLSSLLLCHFA. 0.87/180.07 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.87/180.07 # Starting ehoh_best5 with 180s (1) cores 0.87/180.07 # Starting almost_fo_3_lam with 180s (1) cores 0.87/180.07 # Starting new_bool_5 with 180s (1) cores 0.87/180.07 # Starting pre_casc_3 with 180s (1) cores 0.87/180.07 # Starting ho_unfolding_8 with 180s (1) cores 0.87/180.07 # Starting new_ho_10_cnf2 with 180s (1) cores 0.87/180.07 # Starting new_bool_3 with 180s (1) cores 0.87/180.07 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.87/180.07 # Search class: HGHSM-FSLM31-MHFMMSBN 0.87/180.07 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.87/180.07 # Starting new_ho_10_cnf2 with 98s (1) cores 0.87/180.07 # new_ho_10_cnf2 with pid 27279 completed with status 0 0.87/180.07 # Result found by new_ho_10_cnf2 0.87/180.07 # Preprocessing class: HSLMSLSSLLLCHFA. 0.87/180.07 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.87/180.07 # Starting ehoh_best5 with 180s (1) cores 0.87/180.07 # Starting almost_fo_3_lam with 180s (1) cores 0.87/180.07 # Starting new_bool_5 with 180s (1) cores 0.87/180.07 # Starting pre_casc_3 with 180s (1) cores 0.87/180.07 # Starting ho_unfolding_8 with 180s (1) cores 0.87/180.07 # Starting new_ho_10_cnf2 with 180s (1) cores 0.87/180.07 # Starting new_bool_3 with 180s (1) cores 0.87/180.07 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.87/180.07 # Search class: HGHSM-FSLM31-MHFMMSBN 0.87/180.07 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.87/180.07 # Starting new_ho_10_cnf2 with 98s (1) cores 0.87/180.07 # Preprocessing time : 0.005 s 0.87/180.07 # Presaturation interreduction done 0.87/180.07 0.87/180.07 # Proof found! 0.87/180.07 # SZS status Theorem 0.87/180.07 # SZS output start CNFRefutation 0.87/180.07 thf(decl_22, type, in: $i > $i > $o). 0.87/180.07 thf(decl_23, type, exu: ($i > $o) > $o). 0.87/180.07 thf(decl_24, type, setextAx: $o). 0.87/180.07 thf(decl_25, type, emptyset: $i). 0.87/180.07 thf(decl_26, type, emptysetAx: $o). 0.87/180.07 thf(decl_27, type, setadjoin: $i > $i > $i). 0.87/180.07 thf(decl_28, type, setadjoinAx: $o). 0.87/180.07 thf(decl_29, type, powerset: $i > $i). 0.87/180.07 thf(decl_30, type, powersetAx: $o). 0.87/180.07 thf(decl_31, type, setunion: $i > $i). 0.87/180.07 thf(decl_32, type, setunionAx: $o). 0.87/180.07 thf(decl_33, type, omega: $i). 0.87/180.07 thf(decl_34, type, omega0Ax: $o). 0.87/180.07 thf(decl_35, type, omegaSAx: $o). 0.87/180.07 thf(decl_36, type, omegaIndAx: $o). 0.87/180.07 thf(decl_37, type, replAx: $o). 0.87/180.07 thf(decl_38, type, foundationAx: $o). 0.87/180.07 thf(decl_39, type, wellorderingAx: $o). 0.87/180.07 thf(decl_40, type, descr: ($i > $o) > $i). 0.87/180.07 thf(decl_41, type, descrp: $o). 0.87/180.07 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.87/180.07 thf(decl_43, type, dsetconstrI: $o). 0.87/180.07 thf(decl_44, type, dsetconstrEL: $o). 0.87/180.07 thf(decl_45, type, dsetconstrER: $o). 0.87/180.07 thf(decl_46, type, exuE1: $o). 0.87/180.07 thf(decl_47, type, prop2set: $o > $i). 0.87/180.07 thf(decl_48, type, prop2setE: $o). 0.87/180.07 thf(decl_49, type, emptysetE: $o). 0.87/180.07 thf(decl_50, type, emptysetimpfalse: $o). 0.87/180.07 thf(decl_51, type, notinemptyset: $o). 0.87/180.07 thf(decl_52, type, exuE3e: $o). 0.87/180.07 thf(decl_53, type, setext: $o). 0.87/180.07 thf(decl_54, type, emptyI: $o). 0.87/180.07 thf(decl_55, type, noeltsimpempty: $o). 0.87/180.07 thf(decl_56, type, setbeta: $o). 0.87/180.07 thf(decl_57, type, nonempty: $i > $o). 0.87/180.07 thf(decl_58, type, nonemptyE1: $o). 0.87/180.07 thf(decl_59, type, nonemptyI: $o). 0.87/180.07 thf(decl_60, type, nonemptyI1: $o). 0.87/180.07 thf(decl_61, type, setadjoinIL: $o). 0.87/180.07 thf(decl_62, type, emptyinunitempty: $o). 0.87/180.07 thf(decl_63, type, setadjoinIR: $o). 0.87/180.07 thf(decl_64, type, setadjoinE: $o). 0.87/180.07 thf(decl_65, type, setadjoinOr: $o). 0.87/180.07 thf(decl_66, type, setoftrueEq: $o). 0.87/180.07 thf(decl_67, type, powersetI: $o). 0.87/180.07 thf(decl_68, type, emptyinPowerset: $o). 0.87/180.07 thf(decl_69, type, emptyInPowerset: $o). 0.87/180.07 thf(decl_70, type, powersetE: $o). 0.87/180.07 thf(decl_71, type, setunionI: $o). 0.87/180.07 thf(decl_72, type, setunionE: $o). 0.87/180.07 thf(decl_73, type, subPowSU: $o). 0.87/180.07 thf(decl_74, type, exuE2: $o). 0.87/180.07 thf(decl_75, type, nonemptyImpWitness: $o). 0.87/180.07 thf(decl_76, type, uniqinunit: $o). 0.87/180.07 thf(decl_77, type, notinsingleton: $o). 0.87/180.07 thf(decl_78, type, eqinunit: $o). 0.87/180.07 thf(decl_79, type, singletonsswitch: $o). 0.87/180.07 thf(decl_80, type, upairsetE: $o). 0.87/180.07 thf(decl_81, type, upairsetIL: $o). 0.87/180.07 thf(decl_82, type, upairsetIR: $o). 0.87/180.07 thf(decl_83, type, emptyE1: $o). 0.87/180.07 thf(decl_84, type, vacuousDall: $o). 0.87/180.07 thf(decl_85, type, quantDeMorgan1: $o). 0.87/180.07 thf(decl_86, type, quantDeMorgan2: $o). 0.87/180.07 thf(decl_87, type, quantDeMorgan3: $o). 0.87/180.07 thf(decl_88, type, quantDeMorgan4: $o). 0.87/180.07 thf(decl_89, type, prop2setI: $o). 0.87/180.07 thf(decl_91, type, prop2set2propI: $o). 0.87/180.07 thf(decl_92, type, notdexE: $o). 0.87/180.07 thf(decl_93, type, notdallE: $o). 0.87/180.07 thf(decl_94, type, exuI1: $o). 0.87/180.07 thf(decl_95, type, exuI3: $o). 0.87/180.07 thf(decl_96, type, exuI2: $o). 0.87/180.07 thf(decl_97, type, inCongP: $o). 0.87/180.07 thf(decl_98, type, in__Cong: $o). 0.87/180.07 thf(decl_99, type, exuE3u: $o). 0.87/180.07 thf(decl_100, type, exu__Cong: $o). 0.87/180.07 thf(decl_101, type, emptyset__Cong: $o). 0.87/180.07 thf(decl_102, type, setadjoin__Cong: $o). 0.87/180.07 thf(decl_103, type, powerset__Cong: $o). 0.87/180.07 thf(decl_104, type, setunion__Cong: $o). 0.87/180.07 thf(decl_105, type, omega__Cong: $o). 0.87/180.07 thf(decl_106, type, exuEu: $o). 0.87/180.07 thf(decl_107, type, descr__Cong: $o). 0.87/180.07 thf(decl_108, type, dsetconstr__Cong: $o). 0.87/180.07 thf(decl_109, type, subset: $i > $i > $o). 0.87/180.07 thf(decl_112, type, subsetI1: $o). 0.87/180.07 thf(decl_113, type, eqimpsubset2: $o). 0.87/180.07 thf(decl_114, type, eqimpsubset1: $o). 0.87/180.07 thf(decl_115, type, subsetI2: $o). 0.87/180.07 thf(decl_116, type, emptysetsubset: $o). 0.87/180.07 thf(decl_117, type, subsetE: $o). 0.87/180.07 thf(decl_118, type, subsetE2: $o). 0.87/180.07 thf(decl_119, type, notsubsetI: $o). 0.87/180.07 thf(decl_120, type, notequalI1: $o). 0.87/180.07 thf(decl_121, type, notequalI2: $o). 0.87/180.07 thf(decl_122, type, subsetRefl: $o). 0.87/180.07 thf(decl_123, type, subsetTrans: $o). 0.87/180.07 thf(decl_124, type, setadjoinSub: $o). 0.87/180.07 thf(decl_125, type, setadjoinSub2: $o). 0.87/180.07 thf(decl_126, type, subset2powerset: $o). 0.87/180.07 thf(decl_127, type, setextsub: $o). 0.87/180.07 thf(decl_128, type, subsetemptysetimpeq: $o). 0.87/180.07 thf(decl_129, type, powersetI1: $o). 0.87/180.07 thf(decl_130, type, powersetE1: $o). 0.87/180.07 thf(decl_131, type, inPowerset: $o). 0.87/180.07 thf(decl_132, type, powersetsubset: $o). 0.87/180.07 thf(decl_133, type, sepInPowerset: $o). 0.87/180.07 thf(decl_134, type, sepSubset: $o). 0.87/180.07 thf(decl_135, type, binunion: $i > $i > $i). 0.87/180.07 thf(decl_136, type, binunionIL: $o). 0.87/180.07 thf(decl_137, type, upairset2IR: $o). 0.87/180.07 thf(decl_138, type, binunionIR: $o). 0.87/180.07 thf(decl_139, type, binunionEcases: $o). 0.87/180.07 thf(decl_140, type, binunionE: $o). 0.87/180.07 thf(decl_141, type, binunionLsub: $o). 0.87/180.07 thf(decl_142, type, binunionRsub: $o). 0.87/180.07 thf(decl_143, type, binintersect: $i > $i > $i). 0.87/180.07 thf(decl_144, type, binintersectI: $o). 0.87/180.07 thf(decl_145, type, binintersectSubset5: $o). 0.87/180.07 thf(decl_146, type, binintersectEL: $o). 0.87/180.07 thf(decl_147, type, binintersectLsub: $o). 0.87/180.07 thf(decl_148, type, binintersectSubset2: $o). 0.87/180.07 thf(decl_149, type, binintersectSubset3: $o). 0.87/180.07 thf(decl_150, type, binintersectER: $o). 0.87/180.07 thf(decl_151, type, disjointsetsI1: $o). 0.87/180.07 thf(decl_152, type, binintersectRsub: $o). 0.87/180.07 thf(decl_153, type, binintersectSubset4: $o). 0.87/180.07 thf(decl_154, type, binintersectSubset1: $o). 0.87/180.07 thf(decl_155, type, bs114d: $o). 0.87/180.07 thf(decl_157, type, setminus: $i > $i > $i). 0.87/180.07 thf(decl_158, type, setminusI: $o). 0.87/180.07 thf(decl_159, type, epred1_0: $o). 0.87/180.07 thf(decl_160, type, esk1_2: $i > $i > $i). 0.87/180.07 thf(decl_161, type, esk2_2: $i > $i > $i). 0.87/180.07 thf(decl_162, type, esk3_2: $i > $i > $i). 0.87/180.07 thf(decl_163, type, esk4_1: $i > $i). 0.87/180.07 thf(decl_164, type, esk5_2: ($i > $i > $o) > $i > $i). 0.87/180.07 thf(decl_165, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.87/180.07 thf(decl_166, type, esk7_2: ($i > $i > $o) > $i > $i). 0.87/180.07 thf(decl_167, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.87/180.07 thf(decl_168, type, esk9_1: $i > $i). 0.87/180.07 thf(decl_169, type, esk10_2: ($i > $o) > $i > $i). 0.87/180.07 thf(decl_170, type, esk11_2: ($i > $o) > $i > $i). 0.87/180.07 thf(decl_171, type, esk12_1: ($i > $o) > $i). 0.87/180.07 thf(decl_172, type, esk13_2: ($i > $o) > $i > $i). 0.87/180.07 thf(decl_173, type, esk14_1: ($i > $o) > $i). 0.87/180.07 thf(decl_174, type, esk15_2: $i > $i > $i). 0.87/180.07 thf(decl_175, type, esk16_2: $i > $i > $i). 0.87/180.07 thf(decl_176, type, esk17_1: $i > $i). 0.87/180.07 thf(decl_177, type, esk18_1: $i > $i). 0.87/180.07 thf(decl_178, type, esk19_1: $i > $i). 0.87/180.07 thf(decl_179, type, esk20_2: $i > $i > $i). 0.87/180.07 thf(decl_180, type, esk21_3: $i > $i > $o > $i). 0.87/180.07 thf(decl_181, type, esk22_2: ($i > $o) > $i > $i). 0.87/180.07 thf(decl_182, type, esk23_1: ($i > $o) > $i). 0.87/180.07 thf(decl_183, type, esk24_1: $i > $i). 0.87/180.07 thf(decl_184, type, esk25_2: $i > ($i > $o) > $i). 0.87/180.07 thf(decl_185, type, esk26_2: $i > ($i > $o) > $i). 0.87/180.07 thf(decl_186, type, esk27_2: $i > ($i > $o) > $i). 0.87/180.07 thf(decl_187, type, esk28_2: $i > ($i > $o) > $i). 0.87/180.07 thf(decl_188, type, esk29_2: $i > ($i > $o) > $i). 0.87/180.07 thf(decl_189, type, esk30_2: $i > ($i > $o) > $i). 0.87/180.07 thf(decl_190, type, esk31_2: ($i > $o) > $i > $i). 0.87/180.07 thf(decl_191, type, esk32_1: ($i > $o) > $i). 0.87/180.07 thf(decl_192, type, esk33_1: ($i > $o) > $i). 0.87/180.07 thf(decl_193, type, esk34_1: ($i > $o) > $i). 0.87/180.07 thf(decl_194, type, esk35_1: ($i > $o) > $i). 0.87/180.07 thf(decl_195, type, esk36_2: ($i > $o) > $i > $i). 0.87/180.07 thf(decl_196, type, esk37_1: ($i > $o) > $i). 0.87/180.07 thf(decl_197, type, esk38_2: ($i > $o) > $i > $i). 0.87/180.07 thf(decl_198, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.87/180.07 thf(decl_199, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.87/180.07 thf(decl_200, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.87/180.07 thf(decl_201, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.87/180.07 thf(decl_202, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.87/180.07 thf(decl_203, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.87/180.07 thf(decl_204, type, esk45_2: ($i > $o) > $i > $i). 0.87/180.07 thf(decl_205, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.87/180.07 thf(decl_206, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.87/180.07 thf(decl_207, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.87/180.07 thf(decl_208, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.87/180.07 thf(decl_209, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.87/180.07 thf(decl_210, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.87/180.07 thf(decl_211, type, esk52_2: $i > $i > $i). 0.87/180.07 thf(decl_212, type, esk53_2: $i > $i > $i). 0.87/180.07 thf(decl_213, type, esk54_2: $i > $i > $i). 0.87/180.07 thf(decl_214, type, esk55_0: $i). 0.87/180.07 thf(decl_215, type, esk56_0: $i). 0.87/180.07 thf(decl_216, type, esk57_0: $i). 0.87/180.07 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', nonemptyI)). 0.87/180.07 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', nonempty)). 0.87/180.07 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', exuE3e)). 0.87/180.07 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', exu)). 0.87/180.07 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', exuI3)). 0.87/180.07 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', exuI2)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', exuE3u)). 0.87/180.07 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', exu__Cong)). 0.87/180.07 thf(setminus, axiom, ((setminus)=(^[X4:$i, X5:$i]:(dsetconstr @ X4 @ (^[X2:$i]:(~((in @ X2 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setminus)). 0.87/180.07 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', descr__Cong)). 0.87/180.07 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', exuEu)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', exuI1)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', exuE2)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', exuE1)). 0.87/180.07 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', descrp)). 0.87/180.07 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', replAx)). 0.87/180.07 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setoftrueEq)). 0.87/180.07 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', nonemptyE1)). 0.87/180.07 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', dsetconstrEL)). 0.87/180.07 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', sepSubset)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', emptyE1)). 0.87/180.07 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setminusI)). 0.87/180.07 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', sepInPowerset)). 0.87/180.07 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', dsetconstr__Cong)). 0.87/180.07 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', nonemptyImpWitness)). 0.87/180.07 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', nonemptyI1)). 0.87/180.07 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setbeta)). 0.87/180.07 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', dsetconstrER)). 0.87/180.07 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', dsetconstrI)). 0.87/180.07 thf(setminusEL, conjecture, ((setextAx)=>(((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>(((dsetconstrER)=>((exuE1)=>((prop2setE)=>(((emptysetimpfalse)=>((notinemptyset)=>(((setext)=>(((noeltsimpempty)=>((setbeta)=>((((nonemptyI1)=>((setadjoinIL)=>(((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>(((((emptyInPowerset)=>(((((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>(((((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>(((quantDeMorgan2)=>(((quantDeMorgan4)=>((((notdexE)=>((notdallE)=>(((exuI3)=>((exuI2)=>((((exuE3u)=>((exu__Cong)=>((((powerset__Cong)=>(((omega__Cong)=>(((((((eqimpsubset1)=>((((subsetE)=>((subsetE2)=>(((((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>(((setextsub)=>((subsetemptysetimpeq)=>(((powersetE1)=>((inPowerset)=>((powersetsubset)=>(((sepSubset)=>((binunionIL)=>((upairset2IR)=>((((((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>(((binintersectLsub)=>(((binintersectSubset3)=>(((((binintersectSubset4)=>((binintersectSubset1)=>((![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))<=(setminusI))<=(bs114d))))<=(binintersectRsub))<=(disjointsetsI1))<=(binintersectER)))<=(binintersectSubset2)))<=(binintersectEL)))))<=(binunionLsub))<=(binunionE))<=(binunionEcases))<=(binunionIR)))))<=(sepInPowerset)))))<=(powersetI1))))<=(subset2powerset))))))<=(notequalI2))<=(notequalI1))<=(notsubsetI))))<=(emptysetsubset))<=(subsetI2)))<=(eqimpsubset2))<=(subsetI1))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu)))<=(setunion__Cong)))<=(setadjoin__Cong))<=(emptyset__Cong))))<=(in__Cong))<=(inCongP))))<=(exuI1))))<=(prop2set2propI))<=(prop2setI)))<=(quantDeMorgan3)))<=(quantDeMorgan1))))))))<=(eqinunit))<=(notinsingleton))<=(uniqinunit)))))<=(setunionE))<=(setunionI))<=(powersetE)))<=(emptyinPowerset))<=(powersetI))<=(setoftrueEq)))))<=(emptyinunitempty))))<=(nonemptyI))<=(nonemptyE1))))<=(emptyI)))<=(exuE3e))))<=(emptysetE)))))<=(dsetconstrEL)))))))<=(omegaIndAx))<=(omegaSAx))))))<=(emptysetAx))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setminusEL)). 0.87/180.07 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', emptysetAx)). 0.87/180.07 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', eqinunit)). 0.87/180.07 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', notinsingleton)). 0.87/180.07 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', uniqinunit)). 0.87/180.07 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setunionE)). 0.87/180.07 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', quantDeMorgan2)). 0.87/180.07 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setunionI)). 0.87/180.07 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', powersetE)). 0.87/180.07 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', quantDeMorgan4)). 0.87/180.07 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', emptyinPowerset)). 0.87/180.07 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', powersetI)). 0.87/180.07 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', notdexE)). 0.87/180.07 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', emptyinunitempty)). 0.87/180.07 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', notdallE)). 0.87/180.07 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', emptyI)). 0.87/180.07 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', upairsetIL)). 0.87/180.07 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', emptysetE)). 0.87/180.07 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.zbrBIoYbjs/E---3.1_27193.p', omegaIndAx)). 0.87/180.07 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', omegaSAx)). 0.87/180.07 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', powerset__Cong)). 0.87/180.07 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', omega__Cong)). 0.87/180.07 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', eqimpsubset1)). 0.87/180.07 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', subsetE)). 0.87/180.07 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', subsetE2)). 0.87/180.07 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', subsetRefl)). 0.87/180.07 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', subsetTrans)). 0.87/180.07 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', upairsetIR)). 0.87/180.07 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setadjoinSub)). 0.87/180.07 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setadjoinSub2)). 0.87/180.07 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setextsub)). 0.87/180.07 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', subsetemptysetimpeq)). 0.87/180.07 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', powersetE1)). 0.87/180.07 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', inPowerset)). 0.87/180.07 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', powersetsubset)). 0.87/180.07 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binunionIL)). 0.87/180.07 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', upairset2IR)). 0.87/180.07 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binunionRsub)). 0.87/180.07 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectI)). 0.87/180.07 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectSubset5)). 0.87/180.07 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectLsub)). 0.87/180.07 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectSubset3)). 0.87/180.07 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectSubset4)). 0.87/180.07 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectSubset1)). 0.87/180.07 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', bs114d)). 0.87/180.07 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectRsub)). 0.87/180.07 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', disjointsetsI1)). 0.87/180.07 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectER)). 0.87/180.07 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectSubset2)). 0.87/180.07 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binintersectEL)). 0.87/180.07 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binunionLsub)). 0.87/180.07 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binunionE)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', binunionEcases)). 0.87/180.07 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', binunionIR)). 0.87/180.07 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', powersetI1)). 0.87/180.07 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', subset2powerset)). 0.87/180.07 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', notequalI2)). 0.87/180.07 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', notequalI1)). 0.87/180.07 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', notsubsetI)). 0.87/180.07 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', emptysetsubset)). 0.87/180.07 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', subsetI2)). 0.87/180.07 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', eqimpsubset2)). 0.87/180.07 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', subsetI1)). 0.87/180.07 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setunion__Cong)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', setadjoin__Cong)). 0.87/180.07 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', emptyset__Cong)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', in__Cong)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', inCongP)). 0.87/180.07 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', prop2setI)). 0.87/180.07 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', quantDeMorgan3)). 0.87/180.07 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', quantDeMorgan1)). 0.87/180.07 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', vacuousDall)). 0.87/180.07 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', upairsetE)). 0.87/180.07 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', singletonsswitch)). 0.87/180.07 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', subPowSU)). 0.87/180.07 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', emptyInPowerset)). 0.87/180.07 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setadjoinOr)). 0.87/180.07 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setadjoinE)). 0.87/180.07 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setadjoinIR)). 0.87/180.07 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setadjoinIL)). 0.87/180.07 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', noeltsimpempty)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', setext)). 0.87/180.07 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', notinemptyset)). 0.87/180.07 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', emptysetimpfalse)). 0.87/180.07 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', prop2setE)). 0.87/180.07 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.zbrBIoYbjs/E---3.1_27193.p', wellorderingAx)). 0.87/180.07 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.zbrBIoYbjs/E---3.1_27193.p', foundationAx)). 0.87/180.07 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', omega0Ax)). 0.87/180.07 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setunionAx)). 0.87/180.07 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', powersetAx)). 0.87/180.07 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setadjoinAx)). 0.87/180.07 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.zbrBIoYbjs/E---3.1_27193.p', setextAx)). 0.87/180.07 thf(c_0_121, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.87/180.07 thf(c_0_122, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.87/180.07 thf(c_0_123, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.87/180.07 thf(c_0_124, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.87/180.07 thf(c_0_125, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.87/180.07 thf(c_0_126, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.87/180.07 thf(c_0_127, 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])). 0.87/180.07 thf(c_0_128, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.87/180.07 thf(c_0_129, plain, ((setminus)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ Z0 @ (^[Z2/* 7 */:$i]:(~((in @ Z2 @ Z1))))))), inference(fof_simplification,[status(thm)],[setminus])). 0.87/180.07 thf(c_0_130, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.87/180.07 thf(c_0_131, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.87/180.07 thf(c_0_132, 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])). 0.87/180.07 thf(c_0_133, 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])). 0.87/180.07 thf(c_0_134, 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])). 0.87/180.07 thf(c_0_135, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.87/180.07 thf(c_0_136, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.87/180.07 thf(c_0_137, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.87/180.07 thf(c_0_138, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_121, c_0_122])). 0.87/180.07 thf(c_0_139, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_122])). 0.87/180.07 thf(c_0_140, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X342:$i]:((((X1 @ X342))&![X343:$i]:((((X1 @ X343))=>((X342)=(X343)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_123, c_0_124])). 0.87/180.07 thf(c_0_141, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X348:$i]:((((X1 @ X348))&![X349:$i]:((((X1 @ X349))=>((X348)=(X349)))))))))))), inference(apply_def,[status(thm)],[c_0_125, c_0_124])). 0.87/180.07 thf(c_0_142, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.87/180.07 thf(c_0_143, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X350:$i]:((((X1 @ X350))&![X351:$i]:((((X1 @ X351))=>((X350)=(X351))))))))))), inference(apply_def,[status(thm)],[c_0_126, c_0_124])). 0.87/180.07 thf(c_0_144, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X352:$i]:((((X1 @ X352))&![X353:$i]:((((X1 @ X353))=>((X352)=(X353)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_127, c_0_124])). 0.87/180.07 thf(c_0_145, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X354:$i]:((((X1 @ X354))&![X355:$i]:((((X1 @ X355))=>((X354)=(X355)))))))<=>(?[X356:$i]:((((X17 @ X356))&![X357:$i]:((((X17 @ X357))=>((X356)=(X357)))))))))))), inference(apply_def,[status(thm)],[c_0_128, c_0_124])). 0.87/180.07 thf(c_0_146, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 0.87/180.07 thf(c_0_147, 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])). 0.87/180.07 thf(c_0_148, axiom, ((setminusI)=(![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X5))))))))))), inference(apply_def,[status(thm)],[setminusI, c_0_129])). 0.87/180.07 thf(c_0_149, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 0.87/180.07 thf(c_0_150, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.87/180.07 thf(c_0_151, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X360:$i]:((((X1 @ X360))&![X361:$i]:((((X1 @ X361))=>((X360)=(X361)))))))=>((?[X362:$i]:((((X17 @ X362))&![X363:$i]:((((X17 @ X363))=>((X362)=(X363)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_130, c_0_124])). 0.87/180.07 thf(c_0_152, plain, ((exuEu)=(![X1:$i > $o]:(((?[X358:$i]:((((X1 @ X358))&![X359:$i]:((((X1 @ X359))=>((X358)=(X359)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_131, c_0_124])). 0.87/180.07 thf(c_0_153, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X346:$i]:((((X1 @ X346))&![X347:$i]:((((X1 @ X347))=>((X346)=(X347))))))))))), inference(apply_def,[status(thm)],[c_0_132, c_0_124])). 0.87/180.07 thf(c_0_154, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_122])). 0.87/180.07 thf(c_0_155, plain, ((exuE2)=(![X1:$i > $o]:(((?[X344:$i]:((((X1 @ X344))&![X345:$i]:((((X1 @ X345))=>((X344)=(X345)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_133, c_0_124])). 0.87/180.07 thf(c_0_156, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_122])). 0.87/180.07 thf(c_0_157, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.87/180.07 thf(c_0_158, plain, ((exuE1)=(![X1:$i > $o]:(((?[X340:$i]:((((X1 @ X340))&![X341:$i]:((((X1 @ X341))=>((X340)=(X341)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_134, c_0_124])). 0.87/180.07 thf(c_0_159, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.87/180.07 thf(c_0_160, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.87/180.07 thf(c_0_161, plain, ((descrp)=(![X1:$i > $o]:(((?[X338:$i]:((((X1 @ X338))&![X339:$i]:((((X1 @ X339))=>((X338)=(X339)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_135, c_0_124])). 0.87/180.07 thf(c_0_162, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X336:$i]:((((X6 @ X2 @ X336))&![X337:$i]:((((X6 @ X2 @ X337))=>((X336)=(X337)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_124])). 0.87/180.07 thf(c_0_163, plain, ((epred1_0)<=>![X388:$i]:(?[X389:$i]:((((![X390:$i]:(((in @ X390 @ X389)=>![X391:$i]:(((in @ X391 @ X390)=>(in @ X391 @ X388)))))&![X392:$i, X393:$i]:((((in @ X392 @ X388)&(in @ X393 @ X388))=>(![X394:$i]:(((in @ X394 @ X389)=>((in @ X392 @ X394)<=>(in @ X393 @ X394))))=>((X392)=(X393))))))&![X395:$i, X396:$i]:((((in @ X395 @ X389)&(in @ X396 @ X389))=>(![X397:$i]:(((in @ X397 @ X395)=>(in @ X397 @ X396)))|![X398:$i]:(((in @ X398 @ X396)=>(in @ X398 @ X395)))))))&![X399:$i]:(((![X400:$i]:(((in @ X400 @ X399)=>(in @ X400 @ X388)))&?[X401:$i]:((in @ X401 @ X399)))=>?[X402:$i, X403:$i]:(((((in @ X402 @ X389)&(in @ X403 @ X399))&~(?[X404:$i]:(((in @ X404 @ X402)&(in @ X404 @ X399)))))&![X405:$i]:(((in @ X405 @ X389)=>(![X406:$i]:(((in @ X406 @ X405)=>(in @ X406 @ X402)))|(in @ X403 @ X405)))))))))))), introduced(definition)). 0.87/180.07 thf(c_0_164, negated_conjecture, ~((![X364:$i, X365:$i]:((![X366:$i]:(((in @ X366 @ X364)<=>(in @ X366 @ X365)))=>((X364)=(X365))))=>(![X704:$i]:(~(in @ X704 @ emptyset))=>(![X367:$i, X368:$i, X369:$i]:(((in @ X369 @ (setadjoin @ X367 @ X368))<=>(((X369)=(X367))|(in @ X369 @ X368))))=>(![X370:$i, X371:$i]:(((in @ X371 @ (powerset @ X370))<=>![X372:$i]:(((in @ X372 @ X371)=>(in @ X372 @ X370)))))=>(![X373:$i, X374:$i]:(((in @ X374 @ (setunion @ X373))<=>?[X375:$i]:(((in @ X374 @ X375)&(in @ X375 @ X373)))))=>((in @ emptyset @ omega)=>(![X703:$i]:(((in @ X703 @ omega)=>(in @ (setadjoin @ X703 @ X703) @ omega)))=>(![X700:$i]:((((in @ emptyset @ X700)&![X701:$i]:((((in @ X701 @ omega)&(in @ X701 @ X700))=>(in @ (setadjoin @ X701 @ X701) @ X700))))=>![X702:$i]:(((in @ X702 @ omega)=>(in @ X702 @ X700)))))=>(![X376:$i > $i > $o, X377:$i]:((![X378:$i]:(((in @ X378 @ X377)=>?[X379:$i]:(((X376 @ X378 @ X379)&![X380:$i]:(((X376 @ X378 @ X380)=>((X379)=(X380))))))))=>?[X381:$i]:(![X382:$i]:(((in @ X382 @ X381)<=>?[X383:$i]:(((in @ X383 @ X377)&(X376 @ X383 @ X382))))))))=>(![X384:$i]:((?[X385:$i]:((in @ X385 @ X384))=>?[X386:$i]:(((in @ X386 @ X384)&~(?[X387:$i]:(((in @ X387 @ X386)&(in @ X387 @ X384))))))))=>((epred1_0)=>(![X407:$i > $o]:((?[X408:$i]:(((X407 @ X408)&![X409:$i]:(((X407 @ X409)=>((X408)=(X409))))))=>(X407 @ (descr @ (^[Z0/* 17 */:$i]:(X407 @ Z0))))))=>(![X410:$i, X411:$i > $o, X412:$i]:(((in @ X412 @ X410)=>((X411 @ X412)=>(in @ X412 @ (dsetconstr @ X410 @ X411)))))=>(![X697:$i, X698:$i > $o, X699:$i]:(((in @ X699 @ (dsetconstr @ X697 @ X698))=>(in @ X699 @ X697)))=>(![X413:$i, X414:$i > $o, X415:$i]:(((in @ X415 @ (dsetconstr @ X413 @ X414))=>(X414 @ X415)))=>(![X416:$i > $o]:((?[X417:$i]:(((X416 @ X417)&![X418:$i]:(((X416 @ X418)=>((X417)=(X418))))))=>?[X419:$i]:(((X416 @ X419)&![X420:$i]:(((X416 @ X420)=>((X419)=(X420))))))))=>(![X421:$o, X422:$i]:(((in @ X422 @ (prop2set @ ((X421))))=>(X421)))=>(![X695:$i]:(((in @ X695 @ emptyset)=>![X696:$o]:((X696))))=>(![X423:$i]:(((in @ X423 @ emptyset)=>~($true)))=>(![X424:$i]:(~(in @ X424 @ emptyset))=>(![X691:$i > $o]:((?[X692:$i]:(((X691 @ X692)&![X693:$i]:(((X691 @ X693)=>((X692)=(X693))))))=>?[X694:$i]:((X691 @ X694))))=>(![X425:$i, X426:$i]:((![X427:$i]:(((in @ X427 @ X425)=>(in @ X427 @ X426)))=>(![X428:$i]:(((in @ X428 @ X426)=>(in @ X428 @ X425)))=>((X425)=(X426)))))=>(![X689:$i]:((![X690:$i]:(~(in @ X690 @ X689))=>((X689)=(emptyset))))=>(![X429:$i]:((![X430:$i]:(~(in @ X430 @ X429))=>((X429)=(emptyset))))=>(![X431:$i, X432:$i > $o, X433:$i]:(((in @ X433 @ X431)=>((in @ X433 @ (dsetconstr @ X431 @ X432))<=>(X432 @ X433))))=>(![X687:$i]:((((X687)!=(emptyset))=>?[X688:$i]:((in @ X688 @ X687))))=>(![X684:$i, X685:$i > $o, X686:$i]:(((in @ X686 @ X684)=>((X685 @ X686)=>((dsetconstr @ X684 @ X685)!=(emptyset)))))=>(![X434:$i]:((?[X435:$i]:((in @ X435 @ X434))=>((X434)!=(emptyset))))=>(![X436:$i, X437:$i]:((in @ X436 @ (setadjoin @ X436 @ X437)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X438:$i, X439:$i, X440:$i]:(((in @ X440 @ X439)=>(in @ X440 @ (setadjoin @ X438 @ X439))))=>(![X441:$i, X442:$i, X443:$i]:(((in @ X443 @ (setadjoin @ X441 @ X442))=>![X444:$o]:(((((X443)=(X441))=>(X444))=>(((in @ X443 @ X442)=>(X444))=>(X444))))))=>(![X445:$i, X446:$i, X447:$i]:(((in @ X447 @ (setadjoin @ X445 @ X446))=>(((X447)=(X445))|(in @ X447 @ X446))))=>(![X683:$i]:(((dsetconstr @ X683 @ (^[Z0/* 1 */:$i]:($true)))=(X683)))=>(![X680:$i, X681:$i]:((![X682:$i]:(((in @ X682 @ X681)=>(in @ X682 @ X680)))=>(in @ X681 @ (powerset @ X680))))=>(![X679:$i]:((in @ emptyset @ (powerset @ X679)))=>(![X448:$i]:((in @ emptyset @ (powerset @ X448)))=>(![X676:$i, X677:$i, X678:$i]:(((in @ X677 @ (powerset @ X676))=>((in @ X678 @ X677)=>(in @ X678 @ X676))))=>(![X673:$i, X674:$i, X675:$i]:(((in @ X674 @ X675)=>((in @ X675 @ X673)=>(in @ X674 @ (setunion @ X673)))))=>(![X669:$i, X670:$i]:(((in @ X670 @ (setunion @ X669))=>![X671:$o]:((![X672:$i]:(((in @ X670 @ X672)=>((in @ X672 @ X669)=>(X671))))=>(X671)))))=>(![X449:$i, X450:$i]:(((in @ X450 @ X449)=>(in @ X450 @ (powerset @ (setunion @ X449)))))=>(![X451:$i > $o]:((?[X452:$i]:(((X451 @ X452)&![X453:$i]:(((X451 @ X453)=>((X452)=(X453))))))=>?[X454:$i]:(![X455:$i]:(((X451 @ X455)<=>((X455)=(X454)))))))=>(![X456:$i]:((((X456)!=(emptyset))=>?[X457:$i]:(((in @ X457 @ X456)&$true))))=>(![X667:$i, X668:$i]:(((in @ X667 @ (setadjoin @ X668 @ emptyset))=>((X667)=(X668))))=>(![X665:$i, X666:$i]:((((X665)!=(X666))=>~(in @ X666 @ (setadjoin @ X665 @ emptyset))))=>(![X663:$i, X664:$i]:((((X663)=(X664))=>(in @ X663 @ (setadjoin @ X664 @ emptyset))))=>(![X458:$i, X459:$i]:(((in @ X458 @ (setadjoin @ X459 @ emptyset))=>(in @ X459 @ (setadjoin @ X458 @ emptyset))))=>(![X460:$i, X461:$i, X462:$i]:(((in @ X462 @ (setadjoin @ X460 @ (setadjoin @ X461 @ emptyset)))=>(((X462)=(X460))|((X462)=(X461)))))=>(![X463:$i, X464:$i]:((in @ X463 @ (setadjoin @ X463 @ (setadjoin @ X464 @ emptyset))))=>(![X465:$i, X466:$i]:((in @ X466 @ 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X625))))=>(?[X626:$i]:(((X622 @ X626)&![X627:$i]:(((X622 @ X627)=>((X626)=(X627))))))=>(?[X628:$i]:(((X623 @ X628)&![X629:$i]:(((X623 @ X629)=>((X628)=(X629))))))=>((descr @ X622)=(descr @ X623))))))=>(![X616:$i, X617:$i]:((((X616)=(X617))=>![X618:$i > $o, X619:$i > $o]:((![X620:$i]:(((in @ X620 @ X616)=>![X621:$i]:(((in @ X621 @ X617)=>(((X620)=(X621))=>((X618 @ X620)<=>(X619 @ X621)))))))=>((dsetconstr @ X616 @ X618)=(dsetconstr @ X617 @ X619))))))=>(![X613:$i, X614:$i]:((![X615:$i]:(((in @ X615 @ X613)=>(in @ X615 @ X614)))=>(subset @ X613 @ X614)))=>(![X611:$i, X612:$i]:((((X611)=(X612))=>(subset @ X612 @ X611)))=>(![X514:$i, X515:$i]:((((X514)=(X515))=>(subset @ X514 @ X515)))=>(![X608:$i, X609:$i]:((![X610:$i]:(((in @ X610 @ X608)=>(in @ X610 @ X609)))=>(subset @ X608 @ X609)))=>(![X607:$i]:((subset @ emptyset @ X607))=>(![X516:$i, X517:$i, X518:$i]:(((subset @ X516 @ X517)=>((in @ X518 @ X516)=>(in @ X518 @ X517))))=>(![X519:$i, X520:$i, X521:$i]:(((subset @ X519 @ X520)=>(~(in 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X534))=>(subset @ X535 @ X534)))=>(![X536:$i]:((in @ X536 @ (powerset @ X536)))=>(![X537:$i, X538:$i]:(((subset @ X537 @ X538)=>(subset @ (powerset @ X537) @ (powerset @ X538))))=>(![X593:$i, X594:$i > $o]:((in @ (dsetconstr @ X593 @ X594) @ (powerset @ X593)))=>(![X539:$i, X540:$i > $o]:((subset @ (dsetconstr @ X539 @ X540) @ X539))=>(![X541:$i, X542:$i, X543:$i]:(((in @ X543 @ X541)=>(in @ X543 @ (binunion @ X541 @ X542))))=>(![X544:$i, X545:$i]:((in @ X545 @ (setadjoin @ X544 @ (setadjoin @ X545 @ emptyset))))=>(![X590:$i, X591:$i, X592:$i]:(((in @ X592 @ X591)=>(in @ X592 @ (binunion @ X590 @ X591))))=>(![X586:$i, X587:$i, X588:$i, X589:$o]:(((in @ X588 @ (binunion @ X586 @ X587))=>(((in @ X588 @ X586)=>(X589))=>(((in @ X588 @ X587)=>(X589))=>(X589)))))=>(![X583:$i, X584:$i, X585:$i]:(((in @ X585 @ (binunion @ X583 @ X584))=>((in @ X585 @ X583)|(in @ X585 @ X584))))=>(![X581:$i, X582:$i]:((subset @ X581 @ (binunion @ X581 @ X582)))=>(![X546:$i, X547:$i]:((subset @ X547 @ (binunion @ X546 @ X547)))=>(![X548:$i, X549:$i, X550:$i]:(((in @ X550 @ X548)=>((in @ X550 @ X549)=>(in @ X550 @ (binintersect @ X548 @ X549)))))=>(![X551:$i, X552:$i, X553:$i]:(((subset @ X553 @ X551)=>((subset @ X553 @ X552)=>(subset @ X553 @ (binintersect @ X551 @ X552)))))=>(![X578:$i, X579:$i, X580:$i]:(((in @ X580 @ (binintersect @ X578 @ X579))=>(in @ X580 @ X578)))=>(![X554:$i, X555:$i]:((subset @ (binintersect @ X554 @ X555) @ X554))=>(![X576:$i, X577:$i]:(((subset @ X576 @ X577)=>((binintersect @ X576 @ X577)=(X576))))=>(![X556:$i, X557:$i]:((((binintersect @ X556 @ X557)=(X557))=>(subset @ X557 @ X556)))=>(![X573:$i, X574:$i, X575:$i]:(((in @ X575 @ (binintersect @ X573 @ X574))=>(in @ X575 @ X574)))=>(![X570:$i, X571:$i]:((~(?[X572:$i]:(((in @ X572 @ X570)&(in @ X572 @ X571))))=>((binintersect @ X570 @ X571)=(emptyset))))=>(![X568:$i, X569:$i]:((subset @ (binintersect @ X568 @ X569) @ X569))=>(![X558:$i, X559:$i]:(((subset @ X559 @ X558)=>((binintersect @ X558 @ X559)=(X559))))=>(![X560:$i, X561:$i]:((((binintersect @ X560 @ X561)=(X560))=>(subset @ X560 @ X561)))=>(![X565:$i, X566:$i, X567:$i]:(((binintersect @ X565 @ (binunion @ X566 @ X567))=(binunion @ (binintersect @ X565 @ X566) @ (binintersect @ X565 @ X567))))=>(![X562:$i, X563:$i, X564:$i]:(((in @ X564 @ X562)=>(~(in @ X564 @ X563)=>(in @ X564 @ (dsetconstr @ X562 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X563)))))))))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X5))))))=>(in @ X2 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[setminusEL]), emptysetAx]), eqinunit]), notinsingleton]), uniqinunit]), setunionE]), quantDeMorgan2]), setunionI]), powersetE]), quantDeMorgan4]), emptyinPowerset]), powersetI]), c_0_137]), notdexE]), emptyinunitempty]), c_0_138]), notdallE]), c_0_139]), emptyI]), c_0_140]), upairsetIL]), emptysetE]), c_0_141]), c_0_142]), omegaIndAx]), c_0_143]), omegaSAx]), c_0_144]), c_0_145]), powerset__Cong]), omega__Cong]), eqimpsubset1]), subsetE]), subsetE2]), subsetRefl]), subsetTrans]), upairsetIR]), setadjoinSub]), setadjoinSub2]), setextsub]), subsetemptysetimpeq]), powersetE1]), inPowerset]), powersetsubset]), c_0_146]), binunionIL]), upairset2IR]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectLsub]), binintersectSubset3]), c_0_147]), binintersectSubset4]), binintersectSubset1]), c_0_129]), c_0_148]), bs114d]), binintersectRsub]), disjointsetsI1]), binintersectER]), binintersectSubset2]), binintersectEL]), binunionLsub]), binunionE]), binunionEcases]), binunionIR]), c_0_149]), powersetI1]), subset2powerset]), notequalI2]), notequalI1]), notsubsetI]), emptysetsubset]), subsetI2]), eqimpsubset2]), subsetI1]), c_0_150]), c_0_151]), c_0_152]), setunion__Cong]), setadjoin__Cong]), emptyset__Cong]), in__Cong]), inCongP]), c_0_153]), prop2setI]), quantDeMorgan3]), quantDeMorgan1]), vacuousDall]), upairsetE]), singletonsswitch]), c_0_154]), c_0_155]), subPowSU]), emptyInPowerset]), setadjoinOr]), setadjoinE]), setadjoinIR]), setadjoinIL]), c_0_156]), c_0_157]), noeltsimpempty]), setext]), notinemptyset]), emptysetimpfalse]), prop2setE]), c_0_158]), c_0_159]), c_0_160]), c_0_161]), wellorderingAx]), foundationAx]), c_0_162]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), setextAx])])]), c_0_163])). 0.87/180.07 thf(c_0_165, negated_conjecture, ![X705:$i, X706:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X718:$i, X719:$i, X721:$i, X722:$i, X723:$i, X724:$i, X725:$i, X727:$i, X728:$i > $i > $o, X729:$i, X731:$i, X734:$i, X736:$i, X737:$i, X738:$i, X739:$i, X741:$i, X742:$i > $o, X743:$i, X745:$i, X746:$i > $o, X747:$i, X748:$i, X749:$i > $o, X750:$i, X751:$i, X752:$i > $o, X753:$i, X754:$i > $o, X755:$i, X758:$i, X759:$o, X760:$i, X761:$i, X762:$o, X763:$i, X764:$i, X765:$i > $o, X766:$i, X769:$i, X770:$i, X773:$i, X775:$i, X777:$i, X778:$i > $o, X779:$i, X780:$i, X782:$i, X783:$i > $o, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$o, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X812:$i, X813:$o, X815:$i, X816:$i, X817:$i > $o, X818:$i, X821:$i, X822:$i, X823:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i > $o, X842:$i, X843:$i > $o, X844:$i, X845:$i, X846:$i > $o, X847:$i, X849:$i, X850:$i > $o, X852:$i, X853:$i, X854:$i > $o, X856:$i, X857:$i, X858:$i > $o, X859:$i, X861:$o, X862:$i, X863:$i > $o, X865:$i, X866:$i, X867:$i > $o, X868:$i, X870:$i > $o, X871:$i, X874:$i, X875:$i > $o, X876:$i, X880:$i, X881:$i > $o, X882:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i > $o, X895:$i, X897:$i, X898:$i, X899:$i > $o, X900:$i > $o, X903:$i, X906:$i, X907:$i, X910:$i, X911:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i > $o, X920:$i, X922:$i, X923:$i, X924:$i > $o, X925:$i > $o, X928:$i, X930:$i, X932:$i, X933:$i, X934:$i > $o, X935:$i > $o, X938:$i, X939:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i > $o, 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X907))|~(X900 @ X907))|((X899 @ (esk39_2 @ X899 @ X900))|(X900 @ (esk40_2 @ X899 @ X900)))))&(((X899 @ (esk44_2 @ X899 @ X900))|(((X907)!=(esk43_3 @ X899 @ X900 @ X907))|~(X900 @ X907))|((X899 @ (esk39_2 @ X899 @ X900))|(X900 @ (esk40_2 @ X899 @ X900))))&(~(X899 @ X910)|((esk44_2 @ X899 @ X900)=(X910))|(((X907)!=(esk43_3 @ X899 @ X900 @ X907))|~(X900 @ X907))|((X899 @ (esk39_2 @ X899 @ X900))|(X900 @ (esk40_2 @ X899 @ X900)))))))))&(((emptyset)=(emptyset))&((((X911)!=(X912))|(((X913)!=(X914))|((setadjoin @ X911 @ X913)=(setadjoin @ X912 @ X914))))&((((X915)!=(X916))|((powerset @ X915)=(powerset @ X916)))&((((X917)!=(X918))|((setunion @ X917)=(setunion @ X918)))&(((omega)=(omega))&((((X919 @ (esk45_2 @ X919 @ X920))|~(X919 @ X920)|(~(X919 @ X922)|(~(X919 @ X923)|((X922)=(X923)))))&(((X920)!=(esk45_2 @ X919 @ X920))|~(X919 @ X920)|(~(X919 @ X922)|(~(X919 @ X923)|((X922)=(X923))))))&((((((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((esk46_2 @ X924 @ X925)=(esk47_2 @ X924 @ X925)))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((esk46_2 @ X924 @ X925)=(esk47_2 @ X924 @ X925))))&(((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((esk46_2 @ X924 @ X925)=(esk47_2 @ X924 @ X925)))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((esk46_2 @ X924 @ X925)=(esk47_2 @ X924 @ X925)))))&(((((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|(~(X924 @ (esk46_2 @ X924 @ X925))|~(X925 @ (esk47_2 @ X924 @ X925))))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|(~(X924 @ (esk46_2 @ X924 @ X925))|~(X925 @ (esk47_2 @ X924 @ X925)))))&(((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|(~(X924 @ (esk46_2 @ X924 @ X925))|~(X925 @ (esk47_2 @ X924 @ X925))))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|(~(X924 @ (esk46_2 @ X924 @ X925))|~(X925 @ (esk47_2 @ X924 @ X925))))))&((((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((X924 @ (esk46_2 @ X924 @ X925))|(X925 @ (esk47_2 @ X924 @ X925))))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|((X924 @ (esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((X924 @ (esk46_2 @ X924 @ X925))|(X925 @ (esk47_2 @ X924 @ X925)))))&(((X925 @ (esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((X924 @ (esk46_2 @ X924 @ X925))|(X925 @ (esk47_2 @ X924 @ X925))))&(((X930)!=(esk49_3 @ X924 @ X925 @ X930))|~(X925 @ X930)|((descr @ X924)=(descr @ X925))|(((X928)!=(esk48_3 @ X924 @ X925 @ X928))|~(X924 @ X928))|((X924 @ (esk46_2 @ X924 @ X925))|(X925 @ (esk47_2 @ X924 @ X925))))))))&((((in @ (esk50_4 @ X932 @ X933 @ X934 @ X935) @ X932)|((dsetconstr @ X932 @ X934)=(dsetconstr @ X933 @ X935))|((X932)!=(X933)))&(((in @ (esk51_4 @ X932 @ X933 @ X934 @ X935) @ X933)|((dsetconstr @ X932 @ X934)=(dsetconstr @ X933 @ X935))|((X932)!=(X933)))&((((esk50_4 @ X932 @ X933 @ X934 @ X935)=(esk51_4 @ X932 @ X933 @ X934 @ X935))|((dsetconstr @ X932 @ X934)=(dsetconstr @ X933 @ X935))|((X932)!=(X933)))&((~(X934 @ (esk50_4 @ X932 @ X933 @ X934 @ X935))|~(X935 @ (esk51_4 @ X932 @ X933 @ X934 @ X935))|((dsetconstr @ X932 @ X934)=(dsetconstr @ X933 @ X935))|((X932)!=(X933)))&((X934 @ (esk50_4 @ X932 @ X933 @ X934 @ X935))|(X935 @ (esk51_4 @ X932 @ X933 @ X934 @ X935))|((dsetconstr @ X932 @ X934)=(dsetconstr @ X933 @ X935))|((X932)!=(X933)))))))&((((in @ (esk52_2 @ X938 @ X939) @ X938)|(subset @ X938 @ X939))&(~(in @ (esk52_2 @ X938 @ X939) @ X939)|(subset @ X938 @ X939)))&((((X941)!=(X942))|(subset @ X942 @ X941))&((((X943)!=(X944))|(subset @ X943 @ X944))&((((in @ (esk53_2 @ X945 @ X946) @ X945)|(subset @ X945 @ X946))&(~(in @ (esk53_2 @ X945 @ X946) @ X946)|(subset @ X945 @ X946)))&((subset @ emptyset @ X948)&((~(subset @ X949 @ X950)|(~(in @ X951 @ X949)|(in @ X951 @ X950)))&((~(subset @ X952 @ X953)|((in @ X954 @ X953)|~(in @ X954 @ X952)))&((~(in @ X957 @ X955)|((in @ X957 @ X956)|~(subset @ X955 @ X956)))&(((subset @ X958 @ X959)|((X958)!=(X959)))&((~(in @ X962 @ X960)|((in @ X962 @ X961)|((X960)!=(X961))))&((subset @ X963 @ X963)&((~(subset @ X964 @ X965)|(~(subset @ X965 @ X966)|(subset @ X964 @ X966)))&((subset @ X968 @ (setadjoin @ X967 @ X968))&((~(subset @ X969 @ X971)|(subset @ X969 @ (setadjoin @ X970 @ X971)))&((~(subset @ X972 @ X973)|(in @ X972 @ (powerset @ X973)))&((~(subset @ X974 @ X975)|(~(subset @ X975 @ X974)|((X974)=(X975))))&((~(subset @ X976 @ emptyset)|((X976)=(emptyset)))&((~(subset @ X978 @ X977)|(in @ X978 @ (powerset @ X977)))&((~(in @ X980 @ (powerset @ X979))|(subset @ X980 @ X979))&((in @ X981 @ (powerset @ X981))&((~(subset @ X982 @ X983)|(subset @ (powerset @ X982) @ (powerset @ X983)))&((in @ (dsetconstr @ X984 @ X985) @ (powerset @ X984))&((subset @ (dsetconstr @ X986 @ X987) @ X986)&((~(in @ X990 @ X988)|(in @ X990 @ (binunion @ X988 @ X989)))&((in @ X992 @ (setadjoin @ X991 @ (setadjoin @ X992 @ emptyset)))&((~(in @ X995 @ X994)|(in @ X995 @ (binunion @ X993 @ X994)))&(((((in @ X998 @ X997)|(X999)|(in @ X998 @ X996)|~(in @ X998 @ (binunion @ X996 @ X997)))&(~(X999)|(X999)|(in @ X998 @ X996)|~(in @ X998 @ (binunion @ X996 @ X997))))&(((in @ X998 @ X997)|(X999)|~(X999)|~(in @ X998 @ (binunion @ X996 @ X997)))&(~(X999)|(X999)|~(X999)|~(in @ X998 @ (binunion @ X996 @ X997)))))&((~(in @ X1002 @ (binunion @ X1000 @ X1001))|((in @ X1002 @ X1000)|(in @ X1002 @ X1001)))&((subset @ X1003 @ (binunion @ X1003 @ X1004))&((subset @ X1006 @ (binunion @ X1005 @ X1006))&((~(in @ X1009 @ X1007)|(~(in @ X1009 @ X1008)|(in @ X1009 @ (binintersect @ X1007 @ X1008))))&((~(subset @ X1012 @ X1010)|(~(subset @ X1012 @ X1011)|(subset @ X1012 @ (binintersect @ X1010 @ X1011))))&((~(in @ X1015 @ (binintersect @ X1013 @ X1014))|(in @ X1015 @ X1013))&((subset @ (binintersect @ X1016 @ X1017) @ X1016)&((~(subset @ X1018 @ X1019)|((binintersect @ X1018 @ X1019)=(X1018)))&((((binintersect @ X1020 @ X1021)!=(X1021))|(subset @ X1021 @ X1020))&((~(in @ X1024 @ (binintersect @ X1022 @ X1023))|(in @ X1024 @ X1023))&((((in @ (esk54_2 @ X1025 @ X1026) @ X1025)|((binintersect @ X1025 @ X1026)=(emptyset)))&((in @ (esk54_2 @ X1025 @ X1026) @ X1026)|((binintersect @ X1025 @ X1026)=(emptyset))))&((subset @ (binintersect @ X1028 @ X1029) @ X1029)&((~(subset @ X1031 @ X1030)|((binintersect @ X1030 @ X1031)=(X1031)))&((((binintersect @ X1032 @ X1033)!=(X1032))|(subset @ X1032 @ X1033))&(((binintersect @ X1034 @ (binunion @ X1035 @ X1036))=(binunion @ (binintersect @ X1034 @ X1035) @ (binintersect @ X1034 @ X1036)))&((~(in @ X1039 @ X1037)|((in @ X1039 @ X1038)|(in @ X1039 @ (dsetconstr @ X1037 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X1038))))))))&((in @ esk57_0 @ (dsetconstr @ esk55_0 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ esk56_0))))))&~(in @ esk57_0 @ esk55_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_164])])])])])])])). 0.87/180.08 thf(c_0_166, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((in @ X2 @ X3)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_165])). 0.87/180.08 thf(c_0_167, negated_conjecture, (in @ esk57_0 @ (dsetconstr @ esk55_0 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ esk56_0)))))), inference(split_conjunct,[status(thm)],[c_0_165])). 0.87/180.08 thf(c_0_168, negated_conjecture, ~((in @ esk57_0 @ esk55_0)), inference(split_conjunct,[status(thm)],[c_0_165])). 0.87/180.08 thf(c_0_169, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_167]), c_0_168]), ['proof']). 0.87/180.08 # SZS output end CNFRefutation 0.87/180.08 # Parsed axioms : 259 0.87/180.08 # Removed by relevancy pruning/SinE : 138 0.87/180.08 # Initial clauses : 234 0.87/180.08 # Removed in clause preprocessing : 17 0.87/180.08 # Initial clauses in saturation : 217 0.87/180.08 # Processed clauses : 272 0.87/180.08 # ...of these trivial : 3 0.87/180.08 # ...subsumed : 21 0.87/180.08 # ...remaining for further processing : 248 0.87/180.08 # Other redundant clauses eliminated : 15 0.87/180.08 # Clauses deleted for lack of memory : 0 0.87/180.08 # Backward-subsumed : 0 0.87/180.08 # Backward-rewritten : 2 0.87/180.08 # Generated clauses : 65 0.87/180.08 # ...of the previous two non-redundant : 40 0.87/180.08 # ...aggressively subsumed : 0 0.87/180.08 # Contextual simplify-reflections : 0 0.87/180.08 # Paramodulations : 50 0.87/180.08 # Factorizations : 0 0.87/180.08 # NegExts : 0 0.87/180.08 # Equation resolutions : 15 0.87/180.08 # Disequality decompositions : 0 0.87/180.08 # Total rewrite steps : 34 0.87/180.08 # ...of those cached : 20 0.87/180.08 # Propositional unsat checks : 0 0.87/180.08 # Propositional check models : 0 0.87/180.08 # Propositional check unsatisfiable : 0 0.87/180.08 # Propositional clauses : 0 0.87/180.08 # Propositional clauses after purity: 0 0.87/180.08 # Propositional unsat core size : 0 0.87/180.08 # Propositional preprocessing time : 0.000 0.87/180.08 # Propositional encoding time : 0.000 0.87/180.08 # Propositional solver time : 0.000 0.87/180.08 # Success case prop preproc time : 0.000 0.87/180.08 # Success case prop encoding time : 0.000 0.87/180.08 # Success case prop solver time : 0.000 0.87/180.08 # Current number of processed clauses : 43 0.87/180.08 # Positive orientable unit clauses : 22 0.87/180.08 # Positive unorientable unit clauses: 0 0.87/180.08 # Negative unit clauses : 3 0.87/180.08 # Non-unit-clauses : 18 0.87/180.08 # Current number of unprocessed clauses: 173 0.87/180.08 # ...number of literals in the above : 611 0.87/180.08 # Current number of archived formulas : 0 0.87/180.08 # Current number of archived clauses : 192 0.87/180.08 # Clause-clause subsumption calls (NU) : 5333 0.87/180.08 # Rec. Clause-clause subsumption calls : 1503 0.87/180.08 # Non-unit clause-clause subsumptions : 16 0.87/180.08 # Unit Clause-clause subsumption calls : 18 0.87/180.08 # Rewrite failures with RHS unbound : 0 0.87/180.08 # BW rewrite match attempts : 13 0.87/180.08 # BW rewrite match successes : 2 0.87/180.08 # Condensation attempts : 272 0.87/180.08 # Condensation successes : 3 0.87/180.08 # Termbank termtop insertions : 34227 0.87/180.08 # Search garbage collected termcells : 11931 0.87/180.08 0.87/180.08 # ------------------------------------------------- 0.87/180.08 # User time : 0.052 s 0.87/180.08 # System time : 0.009 s 0.87/180.08 # Total time : 0.061 s 0.87/180.08 # Maximum resident set size: 4968 pages 0.87/180.08 0.87/180.08 # ------------------------------------------------- 0.87/180.08 # User time : 0.057 s 0.87/180.08 # System time : 0.014 s 0.87/180.08 # Total time : 0.071 s 0.87/180.08 # Maximum resident set size: 2060 pages 0.87/180.08 % E---3.1 exiting 0.87/180.08 % E exiting 0.87/180.08 EOF