0.04/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.12	% Command    : run_E %s %d THM
0.13/0.33	% Computer : n021.cluster.edu
0.13/0.33	% Model    : x86_64 x86_64
0.13/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory   : 8042.1875MB
0.13/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1440
0.13/0.34	% WCLimit    : 180
0.13/0.34	% DateTime   : Thu Jul  4 05:48:09 EDT 2024
0.13/0.34	% CPUTime    : 
0.21/0.48	Running higher-order theorem proving
0.21/0.51	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.6D4g55a1oQ/E---3.1_2714.p
0.82/180.10	# Version: 3.2.0-ho
0.82/180.10	# Preprocessing class: HSLMSLSSLLLCHFA.
0.82/180.10	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.82/180.10	# Starting ehoh_best5 with 180s (1) cores
0.82/180.10	# Starting almost_fo_3_lam with 180s (1) cores
0.82/180.10	# Starting new_bool_5 with 180s (1) cores
0.82/180.10	# Starting pre_casc_3 with 180s (1) cores
0.82/180.10	# Starting ho_unfolding_8 with 180s (1) cores
0.82/180.10	# Starting new_ho_10_cnf2 with 180s (1) cores
0.82/180.10	# Starting new_bool_3 with 180s (1) cores
0.82/180.10	# Starting new_ho_5 with 180s (1) cores
0.82/180.10	# new_bool_5 with pid 2808 completed with status 0
0.82/180.10	# Result found by new_bool_5
0.82/180.10	# Preprocessing class: HSLMSLSSLLLCHFA.
0.82/180.10	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.82/180.10	# Starting ehoh_best5 with 180s (1) cores
0.82/180.10	# Starting almost_fo_3_lam with 180s (1) cores
0.82/180.10	# Starting new_bool_5 with 180s (1) cores
0.82/180.10	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.82/180.10	# Search class: HGHSM-FSLS31-MHFMMSBN
0.82/180.10	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.82/180.10	# Starting pre_casc_7 with 98s (1) cores
0.82/180.10	# pre_casc_7 with pid 2814 completed with status 0
0.82/180.10	# Result found by pre_casc_7
0.82/180.10	# Preprocessing class: HSLMSLSSLLLCHFA.
0.82/180.10	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.82/180.10	# Starting ehoh_best5 with 180s (1) cores
0.82/180.10	# Starting almost_fo_3_lam with 180s (1) cores
0.82/180.10	# Starting new_bool_5 with 180s (1) cores
0.82/180.10	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.82/180.10	# Search class: HGHSM-FSLS31-MHFMMSBN
0.82/180.10	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.82/180.10	# Starting pre_casc_7 with 98s (1) cores
0.82/180.10	# Preprocessing time       : 0.004 s
0.82/180.10	
0.82/180.10	# Proof found!
0.82/180.10	# SZS status Theorem
0.82/180.10	# SZS output start CNFRefutation
0.82/180.10	thf(decl_22, type, in: $i > $i > $o).
0.82/180.10	thf(decl_23, type, exu: ($i > $o) > $o).
0.82/180.10	thf(decl_24, type, setextAx: $o).
0.82/180.10	thf(decl_25, type, emptyset: $i).
0.82/180.10	thf(decl_26, type, emptysetAx: $o).
0.82/180.10	thf(decl_27, type, setadjoin: $i > $i > $i).
0.82/180.10	thf(decl_28, type, setadjoinAx: $o).
0.82/180.10	thf(decl_29, type, powerset: $i > $i).
0.82/180.10	thf(decl_30, type, powersetAx: $o).
0.82/180.10	thf(decl_31, type, setunion: $i > $i).
0.82/180.10	thf(decl_32, type, setunionAx: $o).
0.82/180.10	thf(decl_33, type, omega: $i).
0.82/180.10	thf(decl_34, type, omega0Ax: $o).
0.82/180.10	thf(decl_35, type, omegaSAx: $o).
0.82/180.10	thf(decl_36, type, omegaIndAx: $o).
0.82/180.10	thf(decl_37, type, replAx: $o).
0.82/180.10	thf(decl_38, type, foundationAx: $o).
0.82/180.10	thf(decl_39, type, wellorderingAx: $o).
0.82/180.10	thf(decl_40, type, descr: ($i > $o) > $i).
0.82/180.10	thf(decl_41, type, descrp: $o).
0.82/180.10	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.82/180.10	thf(decl_43, type, dsetconstrI: $o).
0.82/180.10	thf(decl_44, type, dsetconstrEL: $o).
0.82/180.10	thf(decl_45, type, dsetconstrER: $o).
0.82/180.10	thf(decl_46, type, exuE1: $o).
0.82/180.10	thf(decl_47, type, prop2set: $o > $i).
0.82/180.10	thf(decl_48, type, prop2setE: $o).
0.82/180.10	thf(decl_49, type, emptysetE: $o).
0.82/180.10	thf(decl_50, type, emptysetimpfalse: $o).
0.82/180.10	thf(decl_51, type, notinemptyset: $o).
0.82/180.10	thf(decl_52, type, exuE3e: $o).
0.82/180.10	thf(decl_53, type, setext: $o).
0.82/180.10	thf(decl_54, type, emptyI: $o).
0.82/180.10	thf(decl_55, type, noeltsimpempty: $o).
0.82/180.10	thf(decl_56, type, setbeta: $o).
0.82/180.10	thf(decl_57, type, nonempty: $i > $o).
0.82/180.10	thf(decl_58, type, nonemptyE1: $o).
0.82/180.10	thf(decl_59, type, nonemptyI: $o).
0.82/180.10	thf(decl_60, type, nonemptyI1: $o).
0.82/180.10	thf(decl_61, type, setadjoinIL: $o).
0.82/180.10	thf(decl_62, type, emptyinunitempty: $o).
0.82/180.10	thf(decl_63, type, setadjoinIR: $o).
0.82/180.10	thf(decl_64, type, setadjoinE: $o).
0.82/180.10	thf(decl_65, type, setadjoinOr: $o).
0.82/180.10	thf(decl_66, type, setoftrueEq: $o).
0.82/180.10	thf(decl_67, type, powersetI: $o).
0.82/180.10	thf(decl_68, type, emptyinPowerset: $o).
0.82/180.10	thf(decl_69, type, emptyInPowerset: $o).
0.82/180.10	thf(decl_70, type, powersetE: $o).
0.82/180.10	thf(decl_71, type, setunionI: $o).
0.82/180.10	thf(decl_72, type, setunionE: $o).
0.82/180.10	thf(decl_73, type, subPowSU: $o).
0.82/180.10	thf(decl_74, type, exuE2: $o).
0.82/180.10	thf(decl_75, type, nonemptyImpWitness: $o).
0.82/180.10	thf(decl_76, type, uniqinunit: $o).
0.82/180.10	thf(decl_77, type, notinsingleton: $o).
0.82/180.10	thf(decl_78, type, eqinunit: $o).
0.82/180.10	thf(decl_79, type, singletonsswitch: $o).
0.82/180.10	thf(decl_80, type, upairsetE: $o).
0.82/180.10	thf(decl_81, type, upairsetIL: $o).
0.82/180.10	thf(decl_82, type, upairsetIR: $o).
0.82/180.10	thf(decl_83, type, emptyE1: $o).
0.82/180.10	thf(decl_84, type, vacuousDall: $o).
0.82/180.10	thf(decl_85, type, quantDeMorgan1: $o).
0.82/180.10	thf(decl_86, type, quantDeMorgan2: $o).
0.82/180.10	thf(decl_87, type, quantDeMorgan3: $o).
0.82/180.10	thf(decl_88, type, quantDeMorgan4: $o).
0.82/180.10	thf(decl_89, type, prop2setI: $o).
0.82/180.10	thf(decl_91, type, prop2set2propI: $o).
0.82/180.10	thf(decl_92, type, notdexE: $o).
0.82/180.10	thf(decl_93, type, notdallE: $o).
0.82/180.10	thf(decl_94, type, exuI1: $o).
0.82/180.10	thf(decl_95, type, exuI3: $o).
0.82/180.10	thf(decl_96, type, exuI2: $o).
0.82/180.10	thf(decl_97, type, inCongP: $o).
0.82/180.10	thf(decl_98, type, in__Cong: $o).
0.82/180.10	thf(decl_99, type, exuE3u: $o).
0.82/180.10	thf(decl_100, type, exu__Cong: $o).
0.82/180.10	thf(decl_101, type, emptyset__Cong: $o).
0.82/180.10	thf(decl_102, type, setadjoin__Cong: $o).
0.82/180.10	thf(decl_103, type, powerset__Cong: $o).
0.82/180.10	thf(decl_104, type, setunion__Cong: $o).
0.82/180.10	thf(decl_105, type, omega__Cong: $o).
0.82/180.10	thf(decl_106, type, exuEu: $o).
0.82/180.10	thf(decl_107, type, descr__Cong: $o).
0.82/180.10	thf(decl_108, type, dsetconstr__Cong: $o).
0.82/180.10	thf(decl_109, type, subset: $i > $i > $o).
0.82/180.10	thf(decl_112, type, subsetI1: $o).
0.82/180.10	thf(decl_113, type, eqimpsubset2: $o).
0.82/180.10	thf(decl_114, type, eqimpsubset1: $o).
0.82/180.10	thf(decl_115, type, subsetI2: $o).
0.82/180.10	thf(decl_116, type, emptysetsubset: $o).
0.82/180.10	thf(decl_117, type, subsetE: $o).
0.82/180.10	thf(decl_118, type, subsetE2: $o).
0.82/180.10	thf(decl_119, type, notsubsetI: $o).
0.82/180.10	thf(decl_120, type, notequalI1: $o).
0.82/180.10	thf(decl_121, type, notequalI2: $o).
0.82/180.10	thf(decl_122, type, subsetRefl: $o).
0.82/180.10	thf(decl_123, type, subsetTrans: $o).
0.82/180.10	thf(decl_124, type, setadjoinSub: $o).
0.82/180.10	thf(decl_125, type, setadjoinSub2: $o).
0.82/180.10	thf(decl_126, type, subset2powerset: $o).
0.82/180.10	thf(decl_127, type, setextsub: $o).
0.82/180.10	thf(decl_128, type, subsetemptysetimpeq: $o).
0.82/180.10	thf(decl_129, type, powersetI1: $o).
0.82/180.10	thf(decl_130, type, powersetE1: $o).
0.82/180.10	thf(decl_131, type, inPowerset: $o).
0.82/180.10	thf(decl_132, type, powersetsubset: $o).
0.82/180.10	thf(decl_133, type, sepInPowerset: $o).
0.82/180.10	thf(decl_134, type, sepSubset: $o).
0.82/180.10	thf(decl_135, type, binunion: $i > $i > $i).
0.82/180.10	thf(decl_136, type, binunionIL: $o).
0.82/180.10	thf(decl_137, type, upairset2IR: $o).
0.82/180.10	thf(decl_138, type, binunionIR: $o).
0.82/180.10	thf(decl_139, type, binunionEcases: $o).
0.82/180.10	thf(decl_140, type, binunionE: $o).
0.82/180.10	thf(decl_141, type, binunionLsub: $o).
0.82/180.10	thf(decl_142, type, binunionRsub: $o).
0.82/180.10	thf(decl_143, type, binintersect: $i > $i > $i).
0.82/180.10	thf(decl_144, type, binintersectI: $o).
0.82/180.10	thf(decl_145, type, binintersectSubset5: $o).
0.82/180.10	thf(decl_146, type, binintersectEL: $o).
0.82/180.10	thf(decl_147, type, binintersectLsub: $o).
0.82/180.10	thf(decl_148, type, binintersectSubset2: $o).
0.82/180.10	thf(decl_149, type, binintersectSubset3: $o).
0.82/180.10	thf(decl_150, type, binintersectER: $o).
0.82/180.10	thf(decl_151, type, disjointsetsI1: $o).
0.82/180.10	thf(decl_152, type, binintersectRsub: $o).
0.82/180.10	thf(decl_153, type, binintersectSubset4: $o).
0.82/180.10	thf(decl_154, type, binintersectSubset1: $o).
0.82/180.10	thf(decl_155, type, bs114d: $o).
0.82/180.10	thf(decl_157, type, setminus: $i > $i > $i).
0.82/180.10	thf(decl_158, type, setminusI: $o).
0.82/180.10	thf(decl_159, type, setminusEL: $o).
0.82/180.10	thf(decl_160, type, setminusER: $o).
0.82/180.10	thf(decl_161, type, setminusSubset2: $o).
0.82/180.10	thf(decl_162, type, setminusERneg: $o).
0.82/180.10	thf(decl_163, type, setminusELneg: $o).
0.82/180.10	thf(decl_164, type, setminusILneg: $o).
0.82/180.10	thf(decl_165, type, setminusIRneg: $o).
0.82/180.10	thf(decl_166, type, setminusLsub: $o).
0.82/180.10	thf(decl_167, type, setminusSubset1: $o).
0.82/180.10	thf(decl_168, type, symdiff: $i > $i > $i).
0.82/180.10	thf(decl_169, type, symdiffE: $o).
0.82/180.10	thf(decl_170, type, symdiffI1: $o).
0.82/180.10	thf(decl_171, type, symdiffI2: $o).
0.82/180.10	thf(decl_172, type, symdiffIneg1: $o).
0.82/180.10	thf(decl_173, type, symdiffIneg2: $o).
0.82/180.10	thf(decl_174, type, iskpair: $i > $o).
0.82/180.10	thf(decl_175, type, secondinupair: $o).
0.82/180.10	thf(decl_176, type, setukpairIL: $o).
0.82/180.10	thf(decl_177, type, setukpairIR: $o).
0.82/180.10	thf(decl_178, type, kpairiskpair: $o).
0.82/180.10	thf(decl_179, type, kpair: $i > $i > $i).
0.82/180.10	thf(decl_180, type, kpairp: $o).
0.82/180.10	thf(decl_181, type, cartprod: $i > $i > $i).
0.82/180.10	thf(decl_182, type, singletonsubset: $o).
0.82/180.10	thf(decl_183, type, singletoninpowerset: $o).
0.82/180.10	thf(decl_184, type, singletoninpowunion: $o).
0.82/180.10	thf(decl_185, type, upairset2E: $o).
0.82/180.10	thf(decl_186, type, upairsubunion: $o).
0.82/180.10	thf(decl_187, type, upairinpowunion: $o).
0.82/180.10	thf(decl_188, type, ubforcartprodlem1: $o).
0.82/180.10	thf(decl_189, type, ubforcartprodlem2: $o).
0.82/180.10	thf(decl_190, type, ubforcartprodlem3: $o).
0.82/180.10	thf(decl_191, type, cartprodpairin: $o).
0.82/180.10	thf(decl_192, type, cartprodmempair1: $o).
0.82/180.10	thf(decl_193, type, cartprodmempair: $o).
0.82/180.10	thf(decl_194, type, setunionE2: $o).
0.82/180.10	thf(decl_195, type, setunionsingleton1: $o).
0.82/180.10	thf(decl_196, type, setunionsingleton2: $o).
0.82/180.10	thf(decl_197, type, epred1_0: $o).
0.82/180.10	thf(decl_198, type, esk1_2: $i > $i > $i).
0.82/180.10	thf(decl_199, type, esk2_2: $i > $i > $i).
0.82/180.10	thf(decl_200, type, esk3_2: $i > $i > $i).
0.82/180.10	thf(decl_201, type, esk4_1: $i > $i).
0.82/180.10	thf(decl_202, type, esk5_2: ($i > $i > $o) > $i > $i).
0.82/180.10	thf(decl_203, type, esk6_2: ($i > $i > $o) > $i > $i).
0.82/180.10	thf(decl_204, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
0.82/180.10	thf(decl_205, type, esk8_1: $i > $i).
0.82/180.10	thf(decl_206, type, esk9_1: ($i > $o) > $i).
0.82/180.10	thf(decl_207, type, esk10_1: ($i > $o) > $i).
0.82/180.10	thf(decl_208, type, esk11_2: $i > $i > $i).
0.82/180.10	thf(decl_209, type, esk12_2: $i > $i > $i).
0.82/180.10	thf(decl_210, type, esk13_1: $i > $i).
0.82/180.10	thf(decl_211, type, esk14_1: $i > $i).
0.82/180.10	thf(decl_212, type, esk15_1: $i > $i).
0.82/180.10	thf(decl_213, type, esk16_2: $i > $i > $i).
0.82/180.10	thf(decl_214, type, esk17_3: $i > $i > $o > $i).
0.82/180.10	thf(decl_215, type, esk18_1: ($i > $o) > $i).
0.82/180.10	thf(decl_216, type, esk19_1: $i > $i).
0.82/180.10	thf(decl_217, type, esk20_2: $i > ($i > $o) > $i).
0.82/180.10	thf(decl_218, type, esk21_2: $i > ($i > $o) > $i).
0.82/180.10	thf(decl_219, type, esk22_2: $i > ($i > $o) > $i).
0.82/180.10	thf(decl_220, type, esk23_2: $i > ($i > $o) > $i).
0.82/180.10	thf(decl_221, type, esk24_2: $i > ($i > $o) > $i).
0.82/180.10	thf(decl_222, type, esk25_2: $i > ($i > $o) > $i).
0.82/180.10	thf(decl_223, type, esk26_2: ($i > $o) > $i > $i).
0.82/180.10	thf(decl_224, type, esk27_1: ($i > $o) > $i).
0.82/180.10	thf(decl_225, type, esk28_1: ($i > $o) > $i).
0.82/180.10	thf(decl_226, type, esk29_2: ($i > $o) > $i > $i).
0.82/180.10	thf(decl_227, type, esk30_2: ($i > $o) > ($i > $o) > $i).
0.82/180.10	thf(decl_228, type, esk31_2: ($i > $o) > ($i > $o) > $i).
0.82/180.10	thf(decl_229, type, esk32_2: ($i > $o) > ($i > $o) > $i).
0.82/180.10	thf(decl_230, type, esk33_2: ($i > $o) > ($i > $o) > $i).
0.82/180.10	thf(decl_231, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.82/180.10	thf(decl_232, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.82/180.10	thf(decl_233, type, esk36_2: $i > $i > $i).
0.82/180.10	thf(decl_234, type, esk37_2: $i > $i > $i).
0.82/180.10	thf(decl_235, type, esk38_2: $i > $i > $i).
0.82/180.10	thf(decl_236, type, esk39_3: $i > $i > $i > $i).
0.82/180.10	thf(decl_237, type, esk40_3: $i > $i > $i > $i).
0.82/180.10	thf(decl_238, type, esk41_2: $i > $i > $i).
0.82/180.10	thf(decl_239, type, esk42_0: $i).
0.82/180.10	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', dsetconstrEL)).
0.82/180.10	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', exuI3)).
0.82/180.10	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.6D4g55a1oQ/E---3.1_2714.p', emptyE1)).
0.82/180.10	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', descr__Cong)).
0.82/180.10	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', dsetconstr__Cong)).
0.82/180.10	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', nonemptyI)).
0.82/180.10	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', exuE3e)).
0.82/180.10	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', exuE1)).
0.82/180.10	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', descrp)).
0.82/180.10	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', sepInPowerset)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', exuE3u)).
0.82/180.10	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', sepSubset)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', exuEu)).
0.82/180.10	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', exu__Cong)).
0.82/180.10	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', exuI2)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', exuI1)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', exuE2)).
0.82/180.10	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setoftrueEq)).
0.82/180.10	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setbeta)).
0.82/180.10	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', dsetconstrER)).
0.82/180.10	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', dsetconstrI)).
0.82/180.10	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', replAx)).
0.82/180.10	thf(setunionsingleton, conjecture, ((setextAx)=>((emptysetAx)=>(((((((omegaIndAx)=>((replAx)=>(((((dsetconstrI)=>(((dsetconstrER)=>((((emptysetE)=>(((notinemptyset)=>(((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>(((nonemptyI1)=>((((setadjoinIR)=>((((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((((((exuE2)=>((nonemptyImpWitness)=>((((eqinunit)=>((singletonsswitch)=>((((upairsetIR)=>((((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>((prop2setI)=>((((notdallE)=>((exuI1)=>((exuI3)=>(((inCongP)=>((in__Cong)=>((exuE3u)=>((((setadjoin__Cong)=>((powerset__Cong)=>(((omega__Cong)=>(((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>(((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>(((notsubsetI)=>((notequalI1)=>((notequalI2)=>(((subsetTrans)=>((setadjoinSub)=>((((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>(((((sepInPowerset)=>(((binunionIL)=>((upairset2IR)=>((((((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>(((binintersectLsub)=>(((binintersectSubset3)=>((((binintersectRsub)=>((binintersectSubset4)=>(((bs114d)=>(((setminusEL)=>((((((((setminusLsub)=>(((((((symdiffIneg2)=>((secondinupair)=>(((((kpairp)=>((((singletoninpowunion)=>((upairset2E)=>(((((ubforcartprodlem2)=>((((((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2))))))<=(cartprodmempair))<=(cartprodmempair1))<=(cartprodpairin))<=(ubforcartprodlem3)))<=(ubforcartprodlem1))<=(upairinpowunion))<=(upairsubunion))))<=(singletoninpowerset))<=(singletonsubset)))<=(kpairiskpair))<=(setukpairIR))<=(setukpairIL))))<=(symdiffIneg1))<=(symdiffI2))<=(symdiffI1))<=(symdiffE))<=(setminusSubset1)))<=(setminusIRneg))<=(setminusILneg))<=(setminusELneg))<=(setminusERneg))<=(setminusSubset2))<=(setminusER)))<=(setminusI)))<=(binintersectSubset1))))<=(disjointsetsI1))<=(binintersectER)))<=(binintersectSubset2)))<=(binintersectEL)))))<=(binunionLsub))<=(binunionE))<=(binunionEcases))<=(binunionIR))))<=(sepSubset)))<=(powersetsubset))<=(inPowerset))<=(powersetE1)))))<=(subset2powerset))<=(setadjoinSub2))))<=(subsetRefl)))))<=(subsetE2))))))<=(eqimpsubset2)))))<=(exuEu)))<=(setunion__Cong))))<=(emptyset__Cong))<=(exu__Cong)))))<=(exuI2)))))<=(notdexE))<=(prop2set2propI))))<=(quantDeMorgan3))))<=(vacuousDall))<=(emptyE1)))<=(upairsetIL))<=(upairsetE))))<=(notinsingleton))<=(uniqinunit))))<=(subPowSU))<=(setunionE))<=(setunionI))<=(powersetE))))))<=(setadjoinOr))<=(setadjoinE)))<=(emptyinunitempty))<=(setadjoinIL)))<=(nonemptyI)))))))<=(exuE3e)))<=(emptysetimpfalse)))<=(prop2setE))<=(exuE1)))<=(dsetconstrEL)))<=(descrp))<=(wellorderingAx))<=(foundationAx))))<=(omegaSAx))<=(omega0Ax))<=(setunionAx))<=(powersetAx))<=(setadjoinAx)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setunionsingleton)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', inCongP)).
0.82/180.10	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setadjoinAx)).
0.82/180.10	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', notdexE)).
0.82/180.10	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', quantDeMorgan3)).
0.82/180.10	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', vacuousDall)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', setadjoin__Cong)).
0.82/180.10	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', upairsetIL)).
0.82/180.10	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', upairsetE)).
0.82/180.10	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', powerset__Cong)).
0.82/180.10	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', notinsingleton)).
0.82/180.10	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', uniqinunit)).
0.82/180.10	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', subPowSU)).
0.82/180.10	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', omega__Cong)).
0.82/180.10	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setunionE)).
0.82/180.10	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setunionI)).
0.82/180.10	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', powersetE)).
0.82/180.10	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setadjoinOr)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', setadjoinE)).
0.82/180.10	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', emptyinunitempty)).
0.82/180.10	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setadjoinIL)).
0.82/180.10	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', subsetI1)).
0.82/180.10	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', emptysetimpfalse)).
0.82/180.10	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', prop2setE)).
0.82/180.10	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', eqimpsubset1)).
0.82/180.10	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectI)).
0.82/180.10	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', subsetI2)).
0.82/180.10	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.6D4g55a1oQ/E---3.1_2714.p', wellorderingAx)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', foundationAx)).
0.82/180.10	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', omegaSAx)).
0.82/180.10	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', emptysetsubset)).
0.82/180.10	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', omega0Ax)).
0.82/180.10	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setunionAx)).
0.82/180.10	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', subsetE)).
0.82/180.10	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', powersetAx)).
0.82/180.10	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', notsubsetI)).
0.82/180.10	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', notequalI1)).
0.82/180.10	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', notequalI2)).
0.82/180.10	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', subsetTrans)).
0.82/180.10	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setadjoinSub)).
0.82/180.10	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setextsub)).
0.82/180.10	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', subsetemptysetimpeq)).
0.82/180.10	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', powersetI1)).
0.82/180.10	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binunionIL)).
0.82/180.10	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', upairset2IR)).
0.82/180.10	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binunionRsub)).
0.82/180.10	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', symdiffI1)).
0.82/180.10	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', symdiffE)).
0.82/180.10	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectSubset5)).
0.82/180.10	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectLsub)).
0.82/180.10	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectSubset3)).
0.82/180.10	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectRsub)).
0.82/180.10	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectSubset4)).
0.82/180.10	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', bs114d)).
0.82/180.10	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusEL)).
0.82/180.10	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusLsub)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', in__Cong)).
0.82/180.10	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', symdiffIneg2)).
0.82/180.10	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', secondinupair)).
0.82/180.10	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', kpairp)).
0.82/180.10	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', singletoninpowunion)).
0.82/180.10	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', upairset2E)).
0.82/180.10	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', ubforcartprodlem2)).
0.82/180.10	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setunionE2)).
0.82/180.10	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setunionsingleton1)).
0.82/180.10	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setunionsingleton2)).
0.82/180.10	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', cartprodmempair)).
0.82/180.10	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', cartprodmempair1)).
0.82/180.10	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', cartprodpairin)).
0.82/180.10	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', ubforcartprodlem3)).
0.82/180.10	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', ubforcartprodlem1)).
0.82/180.10	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', upairinpowunion)).
0.82/180.10	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', upairsubunion)).
0.82/180.10	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', singletoninpowerset)).
0.82/180.10	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', singletonsubset)).
0.82/180.10	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', kpairiskpair)).
0.82/180.10	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setukpairIR)).
0.82/180.10	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setukpairIL)).
0.82/180.10	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', symdiffIneg1)).
0.82/180.10	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', symdiffI2)).
0.82/180.10	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusSubset1)).
0.82/180.10	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusIRneg)).
0.82/180.10	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusILneg)).
0.82/180.10	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusELneg)).
0.82/180.10	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusERneg)).
0.82/180.10	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusSubset2)).
0.82/180.10	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusER)).
0.82/180.10	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setminusI)).
0.82/180.10	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectSubset1)).
0.82/180.10	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', disjointsetsI1)).
0.82/180.10	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectER)).
0.82/180.10	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectSubset2)).
0.82/180.10	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binintersectEL)).
0.82/180.10	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binunionLsub)).
0.82/180.10	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binunionE)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', binunionEcases)).
0.82/180.10	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', binunionIR)).
0.82/180.10	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', powersetsubset)).
0.82/180.10	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', inPowerset)).
0.82/180.10	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', powersetE1)).
0.82/180.10	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', subset2powerset)).
0.82/180.10	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setadjoinSub2)).
0.82/180.10	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', subsetRefl)).
0.82/180.10	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', subsetE2)).
0.82/180.10	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', eqimpsubset2)).
0.82/180.10	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setunion__Cong)).
0.82/180.10	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', emptyset__Cong)).
0.82/180.10	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', notdallE)).
0.82/180.10	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', prop2setI)).
0.82/180.10	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', quantDeMorgan4)).
0.82/180.10	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', quantDeMorgan2)).
0.82/180.10	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', quantDeMorgan1)).
0.82/180.10	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', upairsetIR)).
0.82/180.10	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', singletonsswitch)).
0.82/180.10	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', eqinunit)).
0.82/180.10	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', nonemptyImpWitness)).
0.82/180.10	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', emptyInPowerset)).
0.82/180.10	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', emptyinPowerset)).
0.82/180.10	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', powersetI)).
0.82/180.10	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setadjoinIR)).
0.82/180.10	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', nonemptyI1)).
0.82/180.10	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', nonemptyE1)).
0.82/180.10	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', noeltsimpempty)).
0.82/180.10	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', emptyI)).
0.82/180.10	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.6D4g55a1oQ/E---3.1_2714.p', setext)).
0.82/180.10	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', notinemptyset)).
0.82/180.10	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', emptysetE)).
0.82/180.10	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.6D4g55a1oQ/E---3.1_2714.p', omegaIndAx)).
0.82/180.10	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', emptysetAx)).
0.82/180.10	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.6D4g55a1oQ/E---3.1_2714.p', setextAx)).
0.82/180.10	thf(c_0_152, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.82/180.10	thf(c_0_153, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.82/180.10	thf(c_0_154, plain, ((emptyE1)<=>![X4:$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])).
0.82/180.10	thf(c_0_155, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.82/180.10	thf(c_0_156, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.82/180.10	thf(c_0_157, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.82/180.10	thf(c_0_158, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.82/180.10	thf(c_0_159, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.82/180.10	thf(c_0_160, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.82/180.10	thf(c_0_161, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.82/180.10	thf(c_0_162, 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])).
0.82/180.10	thf(c_0_163, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.82/180.10	thf(c_0_164, 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])).
0.82/180.10	thf(c_0_165, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.82/180.10	thf(c_0_166, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.82/180.10	thf(c_0_167, 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])).
0.82/180.10	thf(c_0_168, 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])).
0.82/180.10	thf(c_0_169, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.82/180.10	thf(c_0_170, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.82/180.10	thf(c_0_171, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.82/180.10	thf(c_0_172, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.82/180.10	thf(c_0_173, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.82/180.10	thf(c_0_174, plain, ((epred1_0)<=>![X810:$i]:(?[X811:$i]:((((![X812:$i]:(((in @ X812 @ X811)=>![X813:$i]:(((in @ X813 @ X812)=>(in @ X813 @ X810)))))&![X814:$i, X815:$i]:((((in @ X814 @ X810)&(in @ X815 @ X810))=>(![X816:$i]:(((in @ X816 @ X811)=>((in @ X814 @ X816)<=>(in @ X815 @ X816))))=>((X814)=(X815))))))&![X817:$i, X818:$i]:((((in @ X817 @ X811)&(in @ X818 @ X811))=>(![X819:$i]:(((in @ X819 @ X817)=>(in @ X819 @ X818)))|![X820:$i]:(((in @ X820 @ X818)=>(in @ X820 @ X817)))))))&![X821:$i]:(((![X822:$i]:(((in @ X822 @ X821)=>(in @ X822 @ X810)))&?[X823:$i]:((in @ X823 @ X821)))=>?[X824:$i, X825:$i]:(((((in @ X824 @ X811)&(in @ X825 @ X821))&~(?[X826:$i]:(((in @ X826 @ X824)&(in @ X826 @ X821)))))&![X827:$i]:(((in @ X827 @ X811)=>(![X828:$i]:(((in @ X828 @ X827)=>(in @ X828 @ X824)))|(in @ X825 @ X827)))))))))))), introduced(definition)).
0.82/180.10	thf(c_0_175, negated_conjecture, ~((![X433:$i, X434:$i]:((![X435:$i]:(((in @ X435 @ X433)<=>(in @ X435 @ X434)))=>((X433)=(X434))))=>(![X436:$i]:(~(in @ X436 @ emptyset))=>(![X840:$i, X841:$i, X842:$i]:(((in @ X842 @ (setadjoin @ X840 @ X841))<=>(((X842)=(X840))|(in @ X842 @ X841))))=>(![X837:$i, X838:$i]:(((in @ X838 @ (powerset @ X837))<=>![X839:$i]:(((in @ X839 @ X838)=>(in @ X839 @ X837)))))=>(![X834:$i, X835:$i]:(((in @ X835 @ (setunion @ X834))<=>?[X836:$i]:(((in @ X835 @ X836)&(in @ X836 @ X834)))))=>((in @ emptyset @ omega)=>(![X833:$i]:(((in @ X833 @ omega)=>(in @ (setadjoin @ X833 @ X833) @ omega)))=>(![X437:$i]:((((in @ emptyset @ X437)&![X438:$i]:((((in @ X438 @ omega)&(in @ X438 @ X437))=>(in @ (setadjoin @ X438 @ X438) @ X437))))=>![X439:$i]:(((in @ X439 @ omega)=>(in @ X439 @ X437)))))=>(![X440:$i > $i > $o, X441:$i]:((![X442:$i]:(((in @ X442 @ X441)=>(exu @ (X440 @ X442))))=>?[X443:$i]:(![X444:$i]:(((in @ X444 @ X443)<=>?[X445:$i]:(((in @ X445 @ X441)&(X440 @ X445 @ X444))))))))=>(![X829:$i]:((?[X830:$i]:((in @ X830 @ X829))=>?[X831:$i]:(((in @ X831 @ X829)&~(?[X832:$i]:(((in @ X832 @ X831)&(in @ X832 @ X829))))))))=>((epred1_0)=>(![X809:$i > $o]:(((exu @ X809)=>(X809 @ (descr @ (^[Z0/* 17 */:$i]:(X809 @ Z0))))))=>(![X446:$i, X447:$i > $o, X448:$i]:(((in @ X448 @ X446)=>((X447 @ X448)=>(in @ X448 @ (dsetconstr @ X446 @ X447)))))=>(![X806:$i, X807:$i > $o, X808:$i]:(((in @ X808 @ (dsetconstr @ X806 @ X807))=>(in @ X808 @ X806)))=>(![X449:$i, X450:$i > $o, X451:$i]:(((in @ X451 @ (dsetconstr @ X449 @ X450))=>(X450 @ X451)))=>(![X803:$i > $o]:(((exu @ X803)=>?[X804:$i]:(((X803 @ X804)&![X805:$i]:(((X803 @ X805)=>((X804)=(X805))))))))=>(![X801:$o, X802:$i]:(((in @ X802 @ (prop2set @ ((X801))))=>(X801)))=>(![X452:$i]:(((in @ X452 @ emptyset)=>![X453:$o]:((X453))))=>(![X800:$i]:(((in @ X800 @ emptyset)=>~($true)))=>(![X454:$i]:(~(in @ X454 @ emptyset))=>(![X798:$i > $o]:(((exu @ X798)=>?[X799:$i]:((X798 @ X799))))=>(![X455:$i, X456:$i]:((![X457:$i]:(((in @ X457 @ X455)=>(in @ X457 @ X456)))=>(![X458:$i]:(((in @ X458 @ X456)=>(in @ X458 @ X455)))=>((X455)=(X456)))))=>(![X459:$i]:((![X460:$i]:(~(in @ X460 @ X459))=>((X459)=(emptyset))))=>(![X461:$i]:((![X462:$i]:(~(in @ X462 @ X461))=>((X461)=(emptyset))))=>(![X463:$i, X464:$i > $o, X465:$i]:(((in @ X465 @ X463)=>((in @ X465 @ (dsetconstr @ X463 @ X464))<=>(X464 @ X465))))=>(![X466:$i]:(((nonempty @ X466)=>?[X467:$i]:((in @ X467 @ X466))))=>(![X795:$i, X796:$i > $o, X797:$i]:(((in @ X797 @ X795)=>((X796 @ X797)=>(nonempty @ (dsetconstr @ X795 @ X796)))))=>(![X468:$i]:((?[X469:$i]:((in @ X469 @ X468))=>(nonempty @ X468)))=>(![X793:$i, X794:$i]:((in @ X793 @ (setadjoin @ X793 @ X794)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X470:$i, X471:$i, X472:$i]:(((in @ X472 @ X471)=>(in @ X472 @ (setadjoin @ X470 @ X471))))=>(![X789:$i, X790:$i, X791:$i]:(((in @ X791 @ (setadjoin @ X789 @ X790))=>![X792:$o]:(((((X791)=(X789))=>(X792))=>(((in @ X791 @ 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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(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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inCongP]), c_0_152]), setadjoinAx]), notdexE]), c_0_153]), quantDeMorgan3]), vacuousDall]), c_0_154]), setadjoin__Cong]), upairsetIL]), upairsetE]), powerset__Cong]), notinsingleton]), uniqinunit]), subPowSU]), omega__Cong]), setunionE]), setunionI]), c_0_155]), powersetE]), setadjoinOr]), setadjoinE]), c_0_156]), emptyinunitempty]), setadjoinIL]), c_0_157]), subsetI1]), c_0_158]), emptysetimpfalse]), prop2setE]), eqimpsubset1]), c_0_159]), binintersectI]), c_0_160]), subsetI2]), wellorderingAx]), foundationAx]), omegaSAx]), emptysetsubset]), omega0Ax]), setunionAx]), subsetE]), powersetAx]), notsubsetI]), notequalI1]), notequalI2]), subsetTrans]), setadjoinSub]), setextsub]), subsetemptysetimpeq]), powersetI1]), c_0_161]), binunionIL]), upairset2IR]), binunionRsub]), symdiffI1]), symdiffE]), binintersectSubset5]), binintersectLsub]), binintersectSubset3]), binintersectRsub]), binintersectSubset4]), bs114d]), setminusEL]), setminusLsub]), in__Cong]), symdiffIneg2]), c_0_162]), secondinupair]), kpairp]), singletoninpowunion]), upairset2E]), ubforcartprodlem2]), setunionE2]), setunionsingleton1]), setunionsingleton2]), cartprodmempair]), cartprodmempair1]), cartprodpairin]), ubforcartprodlem3]), ubforcartprodlem1]), upairinpowunion]), upairsubunion]), singletoninpowerset]), singletonsubset]), kpairiskpair]), setukpairIR]), setukpairIL]), symdiffIneg1]), symdiffI2]), setminusSubset1]), setminusIRneg]), setminusILneg]), setminusELneg]), setminusERneg]), setminusSubset2]), setminusER]), setminusI]), binintersectSubset1]), disjointsetsI1]), binintersectER]), binintersectSubset2]), binintersectEL]), binunionLsub]), binunionE]), binunionEcases]), binunionIR]), c_0_163]), powersetsubset]), inPowerset]), powersetE1]), subset2powerset]), setadjoinSub2]), subsetRefl]), subsetE2]), eqimpsubset2]), c_0_164]), setunion__Cong]), emptyset__Cong]), c_0_165]), c_0_166]), c_0_167]), notdallE]), prop2setI]), quantDeMorgan4]), quantDeMorgan2]), quantDeMorgan1]), upairsetIR]), singletonsswitch]), eqinunit]), nonemptyImpWitness]), c_0_168]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_169]), setadjoinIR]), nonemptyI1]), nonemptyE1]), c_0_170]), noeltsimpempty]), emptyI]), setext]), notinemptyset]), emptysetE]), c_0_171]), c_0_172]), c_0_173]), omegaIndAx]), emptysetAx]), setextAx])])]), c_0_174])).
0.82/180.10	thf(c_0_176, negated_conjecture, ![X843:$i, X844:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X856:$i, X857:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X865:$i, X866:$i > $i > $o, X867:$i, X870:$i, X872:$i, X873:$i, X874:$i, X875:$i, X877:$i, X878:$i > $o, X879:$i, X880:$i > $o, X881:$i, X882:$i, X883:$i > $o, X884:$i, X885:$i, X886:$i > $o, X887:$i, X888:$i > $o, X890:$i, X891:$o, X892:$i, X893:$i, X894:$o, X895:$i, X896:$i, X897:$i > $o, X899:$i, X900:$i, X903:$i, X905:$i, X907:$i, X908:$i > $o, X909:$i, X910:$i, X912:$i, X913:$i > $o, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$o, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$o, X945:$i, X946:$i, X947:$i > $o, X949:$i, X950:$i, X951:$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 > $o, X970:$i, X971:$i > $o, X972:$i, X973:$i, X974:$i > $o, X975:$i, X977:$i, X978:$i > $o, X980:$i, X981:$i, X982:$i > $o, X984:$i, X985:$i, X986:$i > $o, X987:$i, X989:$o, X990:$i, X991:$i > $o, X993:$i, X994:$i, X995:$i > $o, X996:$i, X998:$i > $o, X999:$i, X1001:$i > $o, X1002:$i, X1005:$i > $o, X1006:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i > $o, X1017:$i, X1018:$i, X1019:$i > $o, X1020:$i > $o, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i > $o, X1032:$i, X1033:$i, X1034:$i > $o, X1035:$i > $o, X1038:$i, X1039:$i, X1040:$i > $o, X1041:$i > $o, X1044:$i, X1045:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1054:$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:$i, X1070:$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 > $o, X1092:$i, X1093:$i > $o, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$o, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i, X1124:$i, X1125:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$i, X1130:$i, X1131:$i, X1132:$i, X1134:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1170:$i, X1171:$i, X1172:$i, X1173:$o, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$i, X1217:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1241:$i, X1242:$i]:((((~(in @ (esk1_2 @ X843 @ X844) @ X843)|~(in @ (esk1_2 @ X843 @ X844) @ X844)|((X843)=(X844)))&((in @ (esk1_2 @ X843 @ X844) @ X843)|(in @ (esk1_2 @ X843 @ X844) @ X844)|((X843)=(X844))))&(~(in @ X846 @ emptyset)&(((~(in @ X849 @ (setadjoin @ X847 @ X848))|(((X849)=(X847))|(in @ X849 @ X848)))&((((X849)!=(X847))|(in @ X849 @ (setadjoin @ X847 @ X848)))&(~(in @ X849 @ X848)|(in @ X849 @ (setadjoin @ X847 @ X848)))))&(((~(in @ X851 @ (powerset @ X850))|(~(in @ X852 @ X851)|(in @ X852 @ X850)))&(((in @ (esk2_2 @ X853 @ X854) @ X854)|(in @ X854 @ (powerset @ X853)))&(~(in @ (esk2_2 @ X853 @ X854) @ X853)|(in @ X854 @ (powerset @ X853)))))&(((((in @ X857 @ (esk3_2 @ X856 @ X857))|~(in @ X857 @ (setunion @ X856)))&((in @ (esk3_2 @ X856 @ X857) @ X856)|~(in @ X857 @ (setunion @ X856))))&(~(in @ X860 @ X861)|~(in @ X861 @ X859)|(in @ X860 @ (setunion @ X859))))&((in @ emptyset @ omega)&((~(in @ X862 @ omega)|(in @ (setadjoin @ X862 @ X862) @ omega))&(((((in @ (esk4_1 @ X863) @ omega)|~(in @ emptyset @ X863)|(~(in @ X865 @ omega)|(in @ X865 @ X863)))&((in @ (esk4_1 @ X863) @ X863)|~(in @ emptyset @ X863)|(~(in @ X865 @ omega)|(in @ X865 @ X863))))&(~(in @ (setadjoin @ (esk4_1 @ X863) @ (esk4_1 @ X863)) @ X863)|~(in @ emptyset @ X863)|(~(in @ X865 @ omega)|(in @ X865 @ X863))))&((((((in @ (esk7_3 @ X866 @ X867 @ X870) @ X867)|~(in @ X870 @ (esk6_2 @ X866 @ X867))|(in @ (esk5_2 @ X866 @ X867) @ X867))&((X866 @ (esk7_3 @ X866 @ X867 @ X870) @ X870)|~(in @ X870 @ (esk6_2 @ X866 @ X867))|(in @ (esk5_2 @ X866 @ X867) @ X867)))&(~(in @ X873 @ X867)|~(X866 @ X873 @ X872)|(in @ X872 @ (esk6_2 @ X866 @ X867))|(in @ (esk5_2 @ X866 @ X867) @ X867)))&((((in @ (esk7_3 @ X866 @ X867 @ X870) @ X867)|~(in @ X870 @ (esk6_2 @ X866 @ X867))|~(exu @ (X866 @ (esk5_2 @ X866 @ X867))))&((X866 @ (esk7_3 @ X866 @ X867 @ X870) @ X870)|~(in @ X870 @ (esk6_2 @ X866 @ X867))|~(exu @ (X866 @ (esk5_2 @ X866 @ X867)))))&(~(in @ X873 @ X867)|~(X866 @ X873 @ X872)|(in @ X872 @ (esk6_2 @ X866 @ X867))|~(exu @ (X866 @ (esk5_2 @ X866 @ X867))))))&((((in @ (esk8_1 @ X874) @ X874)|~(in @ X875 @ X874))&(~(in @ X877 @ (esk8_1 @ X874))|~(in @ X877 @ X874)|~(in @ X875 @ X874)))&((epred1_0)&((~(exu @ X878)|(X878 @ (descr @ X878)))&((~(in @ X881 @ X879)|(~(X880 @ X881)|(in @ X881 @ (dsetconstr @ X879 @ X880))))&((~(in @ X884 @ (dsetconstr @ X882 @ X883))|(in @ X884 @ X882))&((~(in @ X887 @ (dsetconstr @ X885 @ X886))|(X886 @ X887))&((((X888 @ (esk9_1 @ X888))|~(exu @ X888))&(~(X888 @ X890)|((esk9_1 @ X888)=(X890))|~(exu @ X888)))&((~(in @ X892 @ (prop2set @ ((X891))))|(X891))&((~(in @ X893 @ emptyset)|(X894))&((~(in @ X895 @ emptyset)|~($true))&(~(in @ X896 @ emptyset)&((~(exu @ X897)|(X897 @ (esk10_1 @ X897)))&(((((in @ (esk12_2 @ X899 @ X900) @ X900)|((X899)=(X900))|(in @ (esk11_2 @ X899 @ X900) @ X899))&(~(in @ (esk12_2 @ X899 @ X900) @ X899)|((X899)=(X900))|(in @ (esk11_2 @ X899 @ X900) @ X899)))&(((in @ (esk12_2 @ X899 @ X900) @ X900)|((X899)=(X900))|~(in @ (esk11_2 @ X899 @ X900) @ X900))&(~(in @ (esk12_2 @ X899 @ X900) @ X899)|((X899)=(X900))|~(in @ (esk11_2 @ X899 @ X900) @ X900))))&(((in @ (esk13_1 @ X903) @ X903)|((X903)=(emptyset)))&(((in @ (esk14_1 @ X905) @ X905)|((X905)=(emptyset)))&(((~(in @ X909 @ (dsetconstr @ X907 @ X908))|(X908 @ X909)|~(in @ X909 @ X907))&(~(X908 @ X909)|(in @ X909 @ (dsetconstr @ X907 @ X908))|~(in @ X909 @ X907)))&((~(nonempty @ X910)|(in @ (esk15_1 @ X910) @ X910))&((~(in @ X914 @ X912)|(~(X913 @ X914)|(nonempty @ (dsetconstr @ X912 @ X913))))&((~(in @ X916 @ X915)|(nonempty @ X915))&((in @ X917 @ (setadjoin @ X917 @ X918))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X921 @ X920)|(in @ X921 @ (setadjoin @ X919 @ X920)))&(((((in @ X924 @ X923)|(X925)|((X924)=(X922))|~(in @ X924 @ (setadjoin @ X922 @ X923)))&(~(X925)|(X925)|((X924)=(X922))|~(in @ X924 @ (setadjoin @ X922 @ X923))))&(((in @ X924 @ X923)|(X925)|~(X925)|~(in @ X924 @ (setadjoin @ X922 @ X923)))&(~(X925)|(X925)|~(X925)|~(in @ X924 @ (setadjoin @ X922 @ X923)))))&((~(in @ X928 @ (setadjoin @ X926 @ X927))|(((X928)=(X926))|(in @ X928 @ X927)))&(((dsetconstr @ X929 @ (^[Z0/* 1 */:$i]:($true)))=(X929))&((((in @ (esk16_2 @ X930 @ X931) @ X931)|(in @ X931 @ (powerset @ X930)))&(~(in @ (esk16_2 @ X930 @ X931) @ X930)|(in @ X931 @ (powerset @ X930))))&((in @ emptyset @ (powerset @ X933))&((in @ emptyset @ (powerset @ X934))&((~(in @ X936 @ (powerset @ X935))|(~(in @ X937 @ X936)|(in @ X937 @ X935)))&((~(in @ X939 @ X940)|(~(in @ X940 @ X938)|(in @ X939 @ (setunion @ X938))))&((((in @ X942 @ (esk17_3 @ X941 @ X942 @ X943))|(X943)|~(in @ X942 @ (setunion @ X941)))&(((in @ (esk17_3 @ X941 @ X942 @ X943) @ X941)|(X943)|~(in @ X942 @ (setunion @ X941)))&(~(X943)|(X943)|~(in @ X942 @ (setunion @ X941)))))&((~(in @ X946 @ X945)|(in @ X946 @ (powerset @ (setunion @ X945))))&(((~(X947 @ X949)|((X949)=(esk18_1 @ X947))|~(exu @ X947))&(((X950)!=(esk18_1 @ X947))|(X947 @ X950)|~(exu @ X947)))&((((in @ (esk19_1 @ X951) @ X951)|~(nonempty @ X951))&(($true)|~(nonempty @ X951)))&((~(in @ X953 @ (setadjoin @ X954 @ emptyset))|((X953)=(X954)))&((((X955)=(X956))|~(in @ X956 @ (setadjoin @ X955 @ emptyset)))&((((X957)!=(X958))|(in @ X957 @ (setadjoin @ X958 @ emptyset)))&((~(in @ X959 @ (setadjoin @ X960 @ emptyset))|(in @ X960 @ (setadjoin @ X959 @ emptyset)))&((~(in @ X963 @ (setadjoin @ X961 @ (setadjoin @ X962 @ emptyset)))|(((X963)=(X961))|((X963)=(X962))))&((in @ X964 @ (setadjoin @ X964 @ (setadjoin @ X965 @ emptyset)))&((in @ X967 @ (setadjoin @ X966 @ (setadjoin @ X967 @ emptyset)))&((~(in @ X970 @ X968)|~(X969 @ X970)|(((dsetconstr @ X968 @ X969)!=(emptyset))|~($true)))&((~(in @ X972 @ emptyset)|(X971 @ X972))&((((in @ (esk20_2 @ X973 @ X974) @ X973)|(~(in @ X975 @ X973)|(X974 @ X975)))&(~(X974 @ (esk20_2 @ X973 @ X974))|(~(in @ X975 @ X973)|(X974 @ X975))))&((((in @ (esk21_2 @ X977 @ X978) @ X977)|(~(in @ X980 @ X977)|~(X978 @ X980)))&((X978 @ (esk21_2 @ X977 @ X978))|(~(in @ X980 @ X977)|~(X978 @ X980))))&((((in @ (esk22_2 @ X981 @ X982) @ X981)|(~(in @ X984 @ X981)|~(X982 @ X984)))&((X982 @ (esk22_2 @ X981 @ X982))|(~(in @ X984 @ X981)|~(X982 @ X984))))&((((in @ (esk23_2 @ X985 @ X986) @ X985)|(~(in @ X987 @ X985)|(X986 @ X987)))&(~(X986 @ (esk23_2 @ X985 @ X986))|(~(in @ X987 @ X985)|(X986 @ X987))))&((~(X989)|(in @ emptyset @ (prop2set @ ((X989)))))&((prop2set2propI)&((((in @ (esk24_2 @ X990 @ X991) @ X990)|(~(in @ X993 @ X990)|~(X991 @ X993)))&((X991 @ (esk24_2 @ X990 @ X991))|(~(in @ X993 @ X990)|~(X991 @ X993))))&((((in @ (esk25_2 @ X994 @ X995) @ X994)|(~(in @ X996 @ X994)|(X995 @ X996)))&(~(X995 @ (esk25_2 @ X994 @ X995))|(~(in @ X996 @ X994)|(X995 @ X996))))&((((X998 @ (esk26_2 @ X998 @ X999))|~(X998 @ X999)|(exu @ X998))&(((X999)!=(esk26_2 @ X998 @ X999))|~(X998 @ X999)|(exu @ X998)))&((((X1001 @ (esk27_1 @ X1001))|(exu @ X1001)|~(X1001 @ X1002))&(((X1001 @ (esk28_1 @ X1001))|(exu @ X1001)|~(X1001 @ X1002))&(((esk27_1 @ X1001)!=(esk28_1 @ X1001))|(exu @ X1001)|~(X1001 @ X1002))))&(((~(X1005 @ (esk29_2 @ X1005 @ X1006))|((esk29_2 @ X1005 @ X1006)!=(X1006))|(exu @ X1005))&((X1005 @ (esk29_2 @ X1005 @ X1006))|((esk29_2 @ X1005 @ X1006)=(X1006))|(exu @ X1005)))&((((X1008)!=(X1009))|(((X1010)!=(X1011))|(~(in @ X1010 @ X1008)|(in @ X1011 @ X1009))))&(((~(in @ X1014 @ X1012)|(in @ X1015 @ X1013)|((X1014)!=(X1015))|((X1012)!=(X1013)))&(~(in @ X1015 @ X1013)|(in @ X1014 @ X1012)|((X1014)!=(X1015))|((X1012)!=(X1013))))&((~(exu @ X1016)|(~(X1016 @ X1017)|(~(X1016 @ X1018)|((X1017)=(X1018)))))&((((~(exu @ X1019)|(exu @ X1020)|((esk30_2 @ X1019 @ X1020)=(esk31_2 @ X1019 @ X1020)))&(~(exu @ X1020)|(exu @ X1019)|((esk30_2 @ X1019 @ X1020)=(esk31_2 @ X1019 @ X1020))))&(((~(exu @ X1019)|(exu @ X1020)|(~(X1019 @ (esk30_2 @ X1019 @ X1020))|~(X1020 @ (esk31_2 @ X1019 @ X1020))))&(~(exu @ X1020)|(exu @ X1019)|(~(X1019 @ (esk30_2 @ X1019 @ X1020))|~(X1020 @ (esk31_2 @ X1019 @ X1020)))))&((~(exu @ X1019)|(exu @ X1020)|((X1019 @ (esk30_2 @ X1019 @ X1020))|(X1020 @ (esk31_2 @ X1019 @ X1020))))&(~(exu @ X1020)|(exu @ X1019)|((X1019 @ (esk30_2 @ X1019 @ X1020))|(X1020 @ (esk31_2 @ X1019 @ X1020)))))))&(((emptyset)=(emptyset))&((((X1023)!=(X1024))|(((X1025)!=(X1026))|((setadjoin @ X1023 @ X1025)=(setadjoin @ X1024 @ X1026))))&((((X1027)!=(X1028))|((powerset @ X1027)=(powerset @ X1028)))&((((X1029)!=(X1030))|((setunion @ X1029)=(setunion @ X1030)))&(((omega)=(omega))&((~(exu @ X1031)|(~(X1031 @ X1032)|(~(X1031 @ X1033)|((X1032)=(X1033)))))&(((((esk32_2 @ X1034 @ X1035)=(esk33_2 @ X1034 @ X1035))|(~(exu @ X1034)|(~(exu @ X1035)|((descr @ X1034)=(descr @ X1035)))))&((~(X1034 @ (esk32_2 @ X1034 @ X1035))|~(X1035 @ (esk33_2 @ X1034 @ X1035))|(~(exu @ X1034)|(~(exu @ X1035)|((descr @ X1034)=(descr @ X1035)))))&((X1034 @ (esk32_2 @ X1034 @ X1035))|(X1035 @ (esk33_2 @ X1034 @ X1035))|(~(exu @ X1034)|(~(exu @ X1035)|((descr @ X1034)=(descr @ X1035)))))))&((((in @ (esk34_4 @ X1038 @ X1039 @ X1040 @ X1041) @ X1038)|((dsetconstr @ X1038 @ X1040)=(dsetconstr @ X1039 @ X1041))|((X1038)!=(X1039)))&(((in @ (esk35_4 @ X1038 @ X1039 @ X1040 @ X1041) @ X1039)|((dsetconstr @ X1038 @ X1040)=(dsetconstr @ X1039 @ X1041))|((X1038)!=(X1039)))&((((esk34_4 @ X1038 @ X1039 @ X1040 @ X1041)=(esk35_4 @ X1038 @ X1039 @ X1040 @ X1041))|((dsetconstr @ X1038 @ X1040)=(dsetconstr @ X1039 @ X1041))|((X1038)!=(X1039)))&((~(X1040 @ (esk34_4 @ X1038 @ X1039 @ X1040 @ X1041))|~(X1041 @ (esk35_4 @ X1038 @ X1039 @ X1040 @ X1041))|((dsetconstr @ X1038 @ X1040)=(dsetconstr @ X1039 @ X1041))|((X1038)!=(X1039)))&((X1040 @ (esk34_4 @ X1038 @ X1039 @ X1040 @ X1041))|(X1041 @ (esk35_4 @ X1038 @ X1039 @ X1040 @ X1041))|((dsetconstr @ X1038 @ X1040)=(dsetconstr @ X1039 @ X1041))|((X1038)!=(X1039)))))))&((((in @ (esk36_2 @ X1044 @ X1045) @ X1044)|(subset @ X1044 @ X1045))&(~(in @ (esk36_2 @ X1044 @ X1045) @ X1045)|(subset @ X1044 @ X1045)))&((((X1047)!=(X1048))|(subset @ X1048 @ X1047))&((((X1049)!=(X1050))|(subset @ X1049 @ X1050))&((((in @ (esk37_2 @ X1051 @ X1052) @ X1051)|(subset @ X1051 @ X1052))&(~(in @ (esk37_2 @ X1051 @ X1052) @ X1052)|(subset @ X1051 @ X1052)))&((subset @ emptyset @ X1054)&((~(subset @ X1055 @ X1056)|(~(in @ X1057 @ X1055)|(in @ X1057 @ X1056)))&((~(subset @ X1058 @ X1059)|((in @ X1060 @ X1059)|~(in @ X1060 @ X1058)))&((~(in @ X1063 @ X1061)|((in @ X1063 @ X1062)|~(subset @ X1061 @ X1062)))&(((subset @ X1064 @ X1065)|((X1064)!=(X1065)))&((~(in @ X1068 @ X1066)|((in @ X1068 @ X1067)|((X1066)!=(X1067))))&((subset @ X1069 @ X1069)&((~(subset @ X1070 @ X1071)|(~(subset @ X1071 @ X1072)|(subset @ X1070 @ X1072)))&((subset @ X1074 @ (setadjoin @ X1073 @ X1074))&((~(subset @ X1075 @ X1077)|(subset @ X1075 @ (setadjoin @ X1076 @ X1077)))&((~(subset @ X1078 @ X1079)|(in @ X1078 @ (powerset @ X1079)))&((~(subset @ X1080 @ X1081)|(~(subset @ X1081 @ X1080)|((X1080)=(X1081))))&((~(subset @ X1082 @ emptyset)|((X1082)=(emptyset)))&((~(subset @ X1084 @ X1083)|(in @ X1084 @ (powerset @ X1083)))&((~(in @ X1086 @ (powerset @ X1085))|(subset @ X1086 @ X1085))&((in @ X1087 @ (powerset @ X1087))&((~(subset @ X1088 @ X1089)|(subset @ (powerset @ X1088) @ (powerset @ X1089)))&((in @ (dsetconstr @ X1090 @ X1091) @ (powerset @ X1090))&((subset @ (dsetconstr @ X1092 @ X1093) @ X1092)&((~(in @ X1096 @ X1094)|(in @ X1096 @ (binunion @ X1094 @ X1095)))&((in @ X1098 @ (setadjoin @ X1097 @ (setadjoin @ X1098 @ emptyset)))&((~(in @ X1101 @ X1100)|(in @ X1101 @ (binunion @ X1099 @ X1100)))&(((((in @ X1104 @ X1103)|(X1105)|(in @ X1104 @ X1102)|~(in @ X1104 @ (binunion @ X1102 @ X1103)))&(~(X1105)|(X1105)|(in @ X1104 @ X1102)|~(in @ X1104 @ (binunion @ X1102 @ X1103))))&(((in @ X1104 @ X1103)|(X1105)|~(X1105)|~(in @ X1104 @ (binunion @ X1102 @ X1103)))&(~(X1105)|(X1105)|~(X1105)|~(in @ X1104 @ (binunion @ X1102 @ X1103)))))&((~(in @ X1108 @ (binunion @ X1106 @ X1107))|((in @ X1108 @ X1106)|(in @ X1108 @ X1107)))&((subset @ X1109 @ (binunion @ X1109 @ X1110))&((subset @ X1112 @ (binunion @ X1111 @ X1112))&((~(in @ X1115 @ X1113)|(~(in @ X1115 @ X1114)|(in @ X1115 @ (binintersect @ X1113 @ X1114))))&((~(subset @ X1118 @ X1116)|(~(subset @ X1118 @ X1117)|(subset @ X1118 @ (binintersect @ X1116 @ X1117))))&((~(in @ X1121 @ (binintersect @ X1119 @ X1120))|(in @ X1121 @ X1119))&((subset @ (binintersect @ X1122 @ X1123) @ X1122)&((~(subset @ X1124 @ X1125)|((binintersect @ X1124 @ X1125)=(X1124)))&((((binintersect @ X1126 @ X1127)!=(X1127))|(subset @ X1127 @ X1126))&((~(in @ X1130 @ (binintersect @ X1128 @ X1129))|(in @ X1130 @ X1129))&((((in @ (esk38_2 @ X1131 @ X1132) @ X1131)|((binintersect @ X1131 @ X1132)=(emptyset)))&((in @ (esk38_2 @ X1131 @ X1132) @ X1132)|((binintersect @ X1131 @ X1132)=(emptyset))))&((subset @ (binintersect @ X1134 @ X1135) @ X1135)&((~(subset @ X1137 @ X1136)|((binintersect @ X1136 @ X1137)=(X1137)))&((((binintersect @ X1138 @ X1139)!=(X1138))|(subset @ X1138 @ X1139))&(((binintersect @ X1140 @ (binunion @ X1141 @ X1142))=(binunion @ (binintersect @ X1140 @ X1141) @ (binintersect @ X1140 @ X1142)))&((~(in @ X1145 @ X1143)|((in @ X1145 @ X1144)|(in @ X1145 @ (setminus @ X1143 @ X1144))))&((~(in @ X1148 @ (setminus @ X1146 @ X1147))|(in @ X1148 @ X1146))&((~(in @ X1151 @ (setminus @ X1149 @ X1150))|~(in @ X1151 @ X1150))&((~(subset @ X1152 @ X1153)|((setminus @ X1152 @ X1153)=(emptyset)))&(((in @ X1156 @ (setminus @ X1154 @ X1155))|(~(in @ X1156 @ X1154)|(in @ X1156 @ X1155)))&(((in @ X1159 @ (setminus @ X1157 @ X1158))|((in @ X1159 @ X1158)|~(in @ X1159 @ X1157)))&(((in @ X1162 @ X1160)|~(in @ X1162 @ (setminus @ X1160 @ X1161)))&((~(in @ X1165 @ X1164)|~(in @ X1165 @ (setminus @ X1163 @ X1164)))&((subset @ (setminus @ X1166 @ X1167) @ X1166)&((((setminus @ X1168 @ X1169)!=(emptyset))|(subset @ X1168 @ X1169))&((((~(in @ X1172 @ X1170)|(X1173)|(in @ X1172 @ X1170)|~(in @ X1172 @ (symdiff @ X1170 @ X1171)))&(((in @ X1172 @ X1171)|(X1173)|(in @ X1172 @ X1170)|~(in @ X1172 @ (symdiff @ X1170 @ X1171)))&(~(X1173)|(X1173)|(in @ X1172 @ X1170)|~(in @ X1172 @ (symdiff @ X1170 @ X1171)))))&(((~(in @ X1172 @ X1170)|(X1173)|~(in @ X1172 @ X1171)|~(in @ X1172 @ (symdiff @ X1170 @ X1171)))&(((in @ X1172 @ X1171)|(X1173)|~(in @ X1172 @ X1171)|~(in @ X1172 @ (symdiff @ X1170 @ X1171)))&(~(X1173)|(X1173)|~(in @ X1172 @ X1171)|~(in @ X1172 @ (symdiff @ X1170 @ X1171)))))&((~(in @ X1172 @ X1170)|(X1173)|~(X1173)|~(in @ X1172 @ (symdiff @ X1170 @ X1171)))&(((in @ X1172 @ X1171)|(X1173)|~(X1173)|~(in @ X1172 @ (symdiff @ X1170 @ X1171)))&(~(X1173)|(X1173)|~(X1173)|~(in @ X1172 @ (symdiff @ X1170 @ X1171)))))))&((~(in @ X1176 @ X1174)|((in @ X1176 @ X1175)|(in @ X1176 @ (symdiff @ X1174 @ X1175))))&(((in @ X1179 @ X1177)|(~(in @ X1179 @ X1178)|(in @ X1179 @ (symdiff @ X1177 @ X1178))))&((~(in @ X1182 @ X1180)|(~(in @ X1182 @ X1181)|~(in @ X1182 @ (symdiff @ X1180 @ X1181))))&(((in @ X1185 @ X1183)|((in @ X1185 @ X1184)|~(in @ X1185 @ (symdiff @ X1183 @ X1184))))&((in @ X1187 @ (setadjoin @ X1186 @ (setadjoin @ X1187 @ emptyset)))&((in @ X1188 @ (setunion @ (setadjoin @ (setadjoin @ X1188 @ emptyset) @ (setadjoin @ (setadjoin @ X1188 @ (setadjoin @ X1189 @ emptyset)) @ emptyset))))&((in @ X1191 @ (setunion @ (setadjoin @ (setadjoin @ X1190 @ emptyset) @ (setadjoin @ (setadjoin @ X1190 @ (setadjoin @ X1191 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1192 @ emptyset) @ (setadjoin @ (setadjoin @ X1192 @ (setadjoin @ X1193 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1194 @ X1195))&((~(in @ X1197 @ X1196)|(subset @ (setadjoin @ X1197 @ emptyset) @ X1196))&((~(in @ X1199 @ X1198)|(in @ (setadjoin @ X1199 @ emptyset) @ (powerset @ X1198)))&((~(in @ X1202 @ X1200)|(in @ (setadjoin @ X1202 @ emptyset) @ (powerset @ (binunion @ X1200 @ X1201))))&((~(in @ X1205 @ (setadjoin @ X1203 @ (setadjoin @ X1204 @ emptyset)))|(((X1205)=(X1203))|((X1205)=(X1204))))&((~(in @ X1208 @ X1206)|(~(in @ X1209 @ X1207)|(subset @ (setadjoin @ X1208 @ (setadjoin @ X1209 @ emptyset)) @ (binunion @ X1206 @ X1207))))&((~(in @ X1212 @ X1210)|(~(in @ X1213 @ X1211)|(in @ (setadjoin @ X1212 @ (setadjoin @ X1213 @ emptyset)) @ (powerset @ (binunion @ X1210 @ X1211)))))&((~(in @ X1216 @ X1214)|(~(in @ X1217 @ X1215)|(subset @ (setadjoin @ (setadjoin @ X1216 @ emptyset) @ (setadjoin @ (setadjoin @ X1216 @ (setadjoin @ X1217 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1214 @ X1215)))))&((~(in @ X1220 @ X1218)|(~(in @ X1221 @ X1219)|(in @ (setadjoin @ (setadjoin @ X1220 @ emptyset) @ (setadjoin @ (setadjoin @ X1220 @ (setadjoin @ X1221 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1218 @ X1219))))))&((~(in @ X1224 @ X1222)|(~(in @ X1225 @ X1223)|(in @ (kpair @ X1224 @ X1225) @ (powerset @ (powerset @ (binunion @ X1222 @ X1223))))))&((~(in @ X1228 @ X1226)|(~(in @ X1229 @ X1227)|(in @ (kpair @ X1228 @ X1229) @ (cartprod @ X1226 @ X1227))))&((((in @ (esk39_3 @ X1230 @ X1231 @ X1232) @ X1230)|~(in @ X1232 @ (cartprod @ X1230 @ X1231)))&(((in @ (esk40_3 @ X1230 @ X1231 @ X1232) @ X1231)|~(in @ X1232 @ (cartprod @ X1230 @ X1231)))&(((X1232)=(kpair @ (esk39_3 @ X1230 @ X1231 @ X1232) @ (esk40_3 @ X1230 @ X1231 @ X1232)))|~(in @ X1232 @ (cartprod @ X1230 @ X1231)))))&((~(in @ X1237 @ (cartprod @ X1235 @ X1236))|(iskpair @ X1237))&((((in @ (esk41_2 @ X1238 @ X1239) @ X1238)|~(in @ X1239 @ (setunion @ X1238)))&((in @ X1239 @ (esk41_2 @ X1238 @ X1239))|~(in @ X1239 @ (setunion @ X1238))))&((subset @ (setunion @ (setadjoin @ X1241 @ emptyset)) @ X1241)&((subset @ X1242 @ (setunion @ (setadjoin @ X1242 @ emptyset)))&((setunion @ (setadjoin @ esk42_0 @ emptyset))!=(esk42_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_175])])])])])])])).
0.82/180.10	thf(c_0_177, negated_conjecture, ![X2:$i, X3:$i]:((((binintersect @ X3 @ X2)=(X2))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_176])).
0.82/180.10	thf(c_0_178, negated_conjecture, ![X2:$i, X3:$i]:((((binintersect @ X2 @ X3)=(X2))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_176])).
0.82/180.10	thf(c_0_179, negated_conjecture, ![X2:$i, X3:$i]:((((X2)=(X3))|~((subset @ X3 @ X2))|~((subset @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_177, c_0_178])).
0.82/180.10	thf(c_0_180, negated_conjecture, ![X2:$i]:((subset @ (setunion @ (setadjoin @ X2 @ emptyset)) @ X2)), inference(split_conjunct,[status(thm)],[c_0_176])).
0.82/180.10	thf(c_0_181, negated_conjecture, ![X2:$i]:((subset @ X2 @ (setunion @ (setadjoin @ X2 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_176])).
0.82/180.10	thf(c_0_182, negated_conjecture, ((setunion @ (setadjoin @ esk42_0 @ emptyset))!=(esk42_0)), inference(split_conjunct,[status(thm)],[c_0_176])).
0.82/180.10	thf(c_0_183, negated_conjecture, ![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179, c_0_180]), c_0_181])])).
0.82/180.10	thf(c_0_184, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182, c_0_183])]), ['proof']).
0.82/180.10	# SZS output end CNFRefutation
0.82/180.10	# Parsed axioms                        : 332
0.82/180.10	# Removed by relevancy pruning/SinE    : 180
0.82/180.10	# Initial clauses                      : 235
0.82/180.10	# Removed in clause preprocessing      : 25
0.82/180.10	# Initial clauses in saturation        : 210
0.82/180.10	# Processed clauses                    : 179
0.82/180.10	# ...of these trivial                  : 5
0.82/180.10	# ...subsumed                          : 71
0.82/180.10	# ...remaining for further processing  : 103
0.82/180.10	# Other redundant clauses eliminated   : 5
0.82/180.10	# Clauses deleted for lack of memory   : 0
0.82/180.10	# Backward-subsumed                    : 4
0.82/180.10	# Backward-rewritten                   : 6
0.82/180.10	# Generated clauses                    : 243
0.82/180.10	# ...of the previous two non-redundant : 200
0.82/180.10	# ...aggressively subsumed             : 0
0.82/180.10	# Contextual simplify-reflections      : 0
0.82/180.10	# Paramodulations                      : 237
0.82/180.10	# Factorizations                       : 0
0.82/180.10	# NegExts                              : 0
0.82/180.10	# Equation resolutions                 : 5
0.82/180.10	# Disequality decompositions           : 0
0.82/180.10	# Total rewrite steps                  : 46
0.82/180.10	# ...of those cached                   : 22
0.82/180.10	# Propositional unsat checks           : 0
0.82/180.10	#    Propositional check models        : 0
0.82/180.10	#    Propositional check unsatisfiable : 0
0.82/180.10	#    Propositional clauses             : 0
0.82/180.10	#    Propositional clauses after purity: 0
0.82/180.10	#    Propositional unsat core size     : 0
0.82/180.10	#    Propositional preprocessing time  : 0.000
0.82/180.10	#    Propositional encoding time       : 0.000
0.82/180.10	#    Propositional solver time         : 0.000
0.82/180.10	#    Success case prop preproc time    : 0.000
0.82/180.10	#    Success case prop encoding time   : 0.000
0.82/180.10	#    Success case prop solver time     : 0.000
0.82/180.10	# Current number of processed clauses  : 89
0.82/180.10	#    Positive orientable unit clauses  : 31
0.82/180.10	#    Positive unorientable unit clauses: 0
0.82/180.10	#    Negative unit clauses             : 2
0.82/180.10	#    Non-unit-clauses                  : 56
0.82/180.10	# Current number of unprocessed clauses: 228
0.82/180.10	# ...number of literals in the above   : 635
0.82/180.10	# Current number of archived formulas  : 0
0.82/180.10	# Current number of archived clauses   : 10
0.82/180.10	# Clause-clause subsumption calls (NU) : 566
0.82/180.10	# Rec. Clause-clause subsumption calls : 494
0.82/180.10	# Non-unit clause-clause subsumptions  : 63
0.82/180.10	# Unit Clause-clause subsumption calls : 5
0.82/180.10	# Rewrite failures with RHS unbound    : 0
0.82/180.10	# BW rewrite match attempts            : 9
0.82/180.10	# BW rewrite match successes           : 5
0.82/180.10	# Condensation attempts                : 179
0.82/180.10	# Condensation successes               : 3
0.82/180.10	# Termbank termtop insertions          : 34287
0.82/180.10	# Search garbage collected termcells   : 13170
0.82/180.10	
0.82/180.10	# -------------------------------------------------
0.82/180.10	# User time                : 0.050 s
0.82/180.10	# System time              : 0.013 s
0.82/180.10	# Total time               : 0.063 s
0.82/180.10	# Maximum resident set size: 5096 pages
0.82/180.10	
0.82/180.10	# -------------------------------------------------
0.82/180.10	# User time                : 0.059 s
0.82/180.10	# System time              : 0.016 s
0.82/180.10	# Total time               : 0.075 s
0.82/180.10	# Maximum resident set size: 2160 pages
0.82/180.10	% E---3.1 exiting
0.82/180.10	% E exiting
0.82/180.10	EOF