0.00/0.04	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.07	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.18/0.43	% Computer : n026.cluster.edu
0.18/0.43	% Model    : x86_64 x86_64
0.18/0.43	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.18/0.43	% Memory   : 8046.5625MB
0.18/0.43	% OS       : Linux 6.8.0-71-generic
0.18/0.43	% CPULimit : 1440
0.18/0.43	% WCLimit  : 180
0.18/0.43	% DateTime : Mon Jul 27 10:02:34 UTC 2026
0.18/0.44	% CPUTime  : 
0.18/0.44	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.28/0.51	Running higher-order theorem proving
0.28/0.56	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.iuPhiJcACS/E---3.1_2553078.p
120.72/18.06	% Version: 3.5.1-ho
120.72/18.06	% Preprocessing class: HSLMSLSSLLLCHFA.
120.72/18.06	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
120.72/18.06	% Starting ehoh_best5 with 180s (1) cores
120.72/18.06	% Starting almost_fo_3_lam with 180s (1) cores
120.72/18.06	% Starting new_bool_5 with 180s (1) cores
120.72/18.06	% Starting pre_casc_3 with 180s (1) cores
120.72/18.06	% Starting ho_unfolding_8 with 180s (1) cores
120.72/18.06	% Starting new_ho_10_cnf2 with 180s (1) cores
120.72/18.06	% Starting new_bool_3 with 180s (1) cores
120.72/18.06	% Starting new_ho_5 with 180s (1) cores
120.72/18.06	% new_bool_5 with pid 2553095 completed with status 0
120.72/18.06	% Result found by new_bool_5
120.72/18.06	% Preprocessing class: HSLMSLSSLLLCHFA.
120.72/18.06	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
120.72/18.06	% Starting ehoh_best5 with 180s (1) cores
120.72/18.06	% Starting almost_fo_3_lam with 180s (1) cores
120.72/18.06	% Starting new_bool_5 with 180s (1) cores
120.72/18.06	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
120.72/18.06	% SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
120.72/18.06	% Search class: HGHSM-FSLS31-SHFMMSBN
120.72/18.06	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
120.72/18.06	% Starting SubtermCWHack with 17s (1) cores
120.72/18.06	% SubtermCWHack with pid 2553101 completed with status 8
120.72/18.06	% Starting new_bool_5 with 19s (1) cores
120.72/18.06	% new_bool_5 with pid 2553403 completed with status 0
120.72/18.06	% Result found by new_bool_5
120.72/18.06	% Preprocessing class: HSLMSLSSLLLCHFA.
120.72/18.06	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
120.72/18.06	% Starting ehoh_best5 with 180s (1) cores
120.72/18.06	% Starting almost_fo_3_lam with 180s (1) cores
120.72/18.06	% Starting new_bool_5 with 180s (1) cores
120.72/18.06	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
120.72/18.06	% SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
120.72/18.06	% Search class: HGHSM-FSLS31-SHFMMSBN
120.72/18.06	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
120.72/18.06	% Starting SubtermCWHack with 17s (1) cores
120.72/18.06	% SubtermCWHack with pid 2553101 completed with status 8
120.72/18.06	% Starting new_bool_5 with 19s (1) cores
120.72/18.06	% Preprocessing time       : 0.004 s
120.72/18.06	% Presaturation interreduction done
120.72/18.06	
120.72/18.06	% Proof found!
120.72/18.06	% SZS status Theorem
120.72/18.06	% SZS output start CNFRefutation
120.72/18.06	thf(decl_23, type, in: $i > $i > $o).
120.72/18.06	thf(decl_24, type, exu: ($i > $o) > $o).
120.72/18.06	thf(decl_25, type, setextAx: $o).
120.72/18.06	thf(decl_26, type, emptyset: $i).
120.72/18.06	thf(decl_27, type, emptysetAx: $o).
120.72/18.06	thf(decl_28, type, setadjoin: $i > $i > $i).
120.72/18.06	thf(decl_29, type, setadjoinAx: $o).
120.72/18.06	thf(decl_30, type, powerset: $i > $i).
120.72/18.06	thf(decl_31, type, powersetAx: $o).
120.72/18.06	thf(decl_32, type, setunion: $i > $i).
120.72/18.06	thf(decl_33, type, setunionAx: $o).
120.72/18.06	thf(decl_34, type, omega: $i).
120.72/18.06	thf(decl_35, type, omega0Ax: $o).
120.72/18.06	thf(decl_36, type, omegaSAx: $o).
120.72/18.06	thf(decl_37, type, omegaIndAx: $o).
120.72/18.06	thf(decl_38, type, replAx: $o).
120.72/18.06	thf(decl_39, type, foundationAx: $o).
120.72/18.06	thf(decl_40, type, wellorderingAx: $o).
120.72/18.06	thf(decl_41, type, descr: ($i > $o) > $i).
120.72/18.06	thf(decl_42, type, descrp: $o).
120.72/18.06	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
120.72/18.06	thf(decl_44, type, dsetconstrI: $o).
120.72/18.06	thf(decl_45, type, dsetconstrEL: $o).
120.72/18.06	thf(decl_46, type, dsetconstrER: $o).
120.72/18.06	thf(decl_47, type, exuE1: $o).
120.72/18.06	thf(decl_48, type, prop2set: $o > $i).
120.72/18.06	thf(decl_49, type, prop2setE: $o).
120.72/18.06	thf(decl_50, type, emptysetE: $o).
120.72/18.06	thf(decl_51, type, emptysetimpfalse: $o).
120.72/18.06	thf(decl_52, type, notinemptyset: $o).
120.72/18.06	thf(decl_53, type, exuE3e: $o).
120.72/18.06	thf(decl_54, type, setext: $o).
120.72/18.06	thf(decl_55, type, emptyI: $o).
120.72/18.06	thf(decl_56, type, noeltsimpempty: $o).
120.72/18.06	thf(decl_57, type, setbeta: $o).
120.72/18.06	thf(decl_58, type, nonempty: $i > $o).
120.72/18.06	thf(decl_59, type, nonemptyE1: $o).
120.72/18.06	thf(decl_60, type, nonemptyI: $o).
120.72/18.06	thf(decl_61, type, nonemptyI1: $o).
120.72/18.06	thf(decl_62, type, setadjoinIL: $o).
120.72/18.06	thf(decl_63, type, emptyinunitempty: $o).
120.72/18.06	thf(decl_64, type, setadjoinIR: $o).
120.72/18.06	thf(decl_65, type, setadjoinE: $o).
120.72/18.06	thf(decl_66, type, setadjoinOr: $o).
120.72/18.06	thf(decl_67, type, setoftrueEq: $o).
120.72/18.06	thf(decl_68, type, powersetI: $o).
120.72/18.06	thf(decl_69, type, emptyinPowerset: $o).
120.72/18.06	thf(decl_70, type, emptyInPowerset: $o).
120.72/18.06	thf(decl_71, type, powersetE: $o).
120.72/18.06	thf(decl_72, type, setunionI: $o).
120.72/18.06	thf(decl_73, type, setunionE: $o).
120.72/18.06	thf(decl_74, type, subPowSU: $o).
120.72/18.06	thf(decl_75, type, exuE2: $o).
120.72/18.06	thf(decl_76, type, nonemptyImpWitness: $o).
120.72/18.06	thf(decl_77, type, uniqinunit: $o).
120.72/18.06	thf(decl_78, type, notinsingleton: $o).
120.72/18.06	thf(decl_79, type, eqinunit: $o).
120.72/18.06	thf(decl_80, type, singletonsswitch: $o).
120.72/18.06	thf(decl_81, type, upairsetE: $o).
120.72/18.06	thf(decl_82, type, upairsetIL: $o).
120.72/18.06	thf(decl_83, type, upairsetIR: $o).
120.72/18.06	thf(decl_84, type, emptyE1: $o).
120.72/18.06	thf(decl_85, type, vacuousDall: $o).
120.72/18.06	thf(decl_86, type, quantDeMorgan1: $o).
120.72/18.06	thf(decl_87, type, quantDeMorgan2: $o).
120.72/18.06	thf(decl_88, type, quantDeMorgan3: $o).
120.72/18.06	thf(decl_89, type, quantDeMorgan4: $o).
120.72/18.06	thf(decl_90, type, prop2setI: $o).
120.72/18.06	thf(decl_92, type, prop2set2propI: $o).
120.72/18.06	thf(decl_93, type, notdexE: $o).
120.72/18.06	thf(decl_94, type, notdallE: $o).
120.72/18.06	thf(decl_95, type, exuI1: $o).
120.72/18.06	thf(decl_96, type, exuI3: $o).
120.72/18.06	thf(decl_97, type, exuI2: $o).
120.72/18.06	thf(decl_98, type, inCongP: $o).
120.72/18.06	thf(decl_99, type, in__Cong: $o).
120.72/18.06	thf(decl_100, type, exuE3u: $o).
120.72/18.06	thf(decl_101, type, exu__Cong: $o).
120.72/18.06	thf(decl_102, type, emptyset__Cong: $o).
120.72/18.06	thf(decl_103, type, setadjoin__Cong: $o).
120.72/18.06	thf(decl_104, type, powerset__Cong: $o).
120.72/18.06	thf(decl_105, type, setunion__Cong: $o).
120.72/18.06	thf(decl_106, type, omega__Cong: $o).
120.72/18.06	thf(decl_107, type, exuEu: $o).
120.72/18.06	thf(decl_108, type, descr__Cong: $o).
120.72/18.06	thf(decl_109, type, dsetconstr__Cong: $o).
120.72/18.06	thf(decl_110, type, subset: $i > $i > $o).
120.72/18.06	thf(decl_113, type, subsetI1: $o).
120.72/18.06	thf(decl_114, type, eqimpsubset2: $o).
120.72/18.06	thf(decl_115, type, eqimpsubset1: $o).
120.72/18.06	thf(decl_116, type, subsetI2: $o).
120.72/18.06	thf(decl_117, type, emptysetsubset: $o).
120.72/18.06	thf(decl_118, type, subsetE: $o).
120.72/18.06	thf(decl_119, type, subsetE2: $o).
120.72/18.06	thf(decl_120, type, notsubsetI: $o).
120.72/18.06	thf(decl_121, type, notequalI1: $o).
120.72/18.06	thf(decl_122, type, notequalI2: $o).
120.72/18.06	thf(decl_123, type, subsetRefl: $o).
120.72/18.06	thf(decl_124, type, subsetTrans: $o).
120.72/18.06	thf(decl_125, type, setadjoinSub: $o).
120.72/18.06	thf(decl_126, type, setadjoinSub2: $o).
120.72/18.06	thf(decl_127, type, subset2powerset: $o).
120.72/18.06	thf(decl_128, type, setextsub: $o).
120.72/18.06	thf(decl_129, type, subsetemptysetimpeq: $o).
120.72/18.06	thf(decl_130, type, powersetI1: $o).
120.72/18.06	thf(decl_131, type, powersetE1: $o).
120.72/18.06	thf(decl_132, type, inPowerset: $o).
120.72/18.06	thf(decl_133, type, powersetsubset: $o).
120.72/18.06	thf(decl_134, type, sepInPowerset: $o).
120.72/18.06	thf(decl_135, type, sepSubset: $o).
120.72/18.06	thf(decl_136, type, binunion: $i > $i > $i).
120.72/18.06	thf(decl_137, type, binunionIL: $o).
120.72/18.06	thf(decl_138, type, upairset2IR: $o).
120.72/18.06	thf(decl_139, type, binunionIR: $o).
120.72/18.06	thf(decl_140, type, binunionEcases: $o).
120.72/18.06	thf(decl_141, type, binunionE: $o).
120.72/18.06	thf(decl_142, type, binunionLsub: $o).
120.72/18.06	thf(decl_143, type, binunionRsub: $o).
120.72/18.06	thf(decl_144, type, binintersect: $i > $i > $i).
120.72/18.06	thf(decl_145, type, binintersectI: $o).
120.72/18.06	thf(decl_146, type, binintersectSubset5: $o).
120.72/18.06	thf(decl_147, type, binintersectEL: $o).
120.72/18.06	thf(decl_148, type, binintersectLsub: $o).
120.72/18.06	thf(decl_149, type, binintersectSubset2: $o).
120.72/18.06	thf(decl_150, type, binintersectSubset3: $o).
120.72/18.06	thf(decl_151, type, binintersectER: $o).
120.72/18.06	thf(decl_152, type, epred1_0: $o).
120.72/18.06	thf(decl_153, type, esk1_2: $i > $i > $i).
120.72/18.06	thf(decl_154, type, esk2_2: $i > $i > $i).
120.72/18.06	thf(decl_155, type, esk3_2: $i > $i > $i).
120.72/18.06	thf(decl_156, type, esk4_1: $i > $i).
120.72/18.06	thf(decl_157, type, esk5_2: ($i > $i > $o) > $i > $i).
120.72/18.06	thf(decl_158, type, esk6_2: ($i > $i > $o) > $i > $i).
120.72/18.06	thf(decl_159, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
120.72/18.06	thf(decl_160, type, esk8_1: $i > $i).
120.72/18.06	thf(decl_161, type, esk9_1: ($i > $o) > $i).
120.72/18.06	thf(decl_162, type, esk10_1: ($i > $o) > $i).
120.72/18.06	thf(decl_163, type, esk11_2: $i > $i > $i).
120.72/18.06	thf(decl_164, type, esk12_2: $i > $i > $i).
120.72/18.06	thf(decl_165, type, esk13_1: $i > $i).
120.72/18.06	thf(decl_166, type, esk14_1: $i > $i).
120.72/18.06	thf(decl_167, type, esk15_1: $i > $i).
120.72/18.06	thf(decl_168, type, esk16_2: $i > $i > $i).
120.72/18.06	thf(decl_169, type, esk17_3: $i > $i > $o > $i).
120.72/18.06	thf(decl_170, type, esk18_1: ($i > $o) > $i).
120.72/18.06	thf(decl_171, type, esk19_1: $i > $i).
120.72/18.06	thf(decl_172, type, esk20_2: $i > ($i > $o) > $i).
120.72/18.06	thf(decl_173, type, esk21_2: $i > ($i > $o) > $i).
120.72/18.06	thf(decl_174, type, esk22_2: $i > ($i > $o) > $i).
120.72/18.06	thf(decl_175, type, esk23_2: $i > ($i > $o) > $i).
120.72/18.06	thf(decl_176, type, esk24_2: $i > ($i > $o) > $i).
120.72/18.06	thf(decl_177, type, esk25_2: $i > ($i > $o) > $i).
120.72/18.06	thf(decl_178, type, esk26_2: ($i > $o) > $i > $i).
120.72/18.06	thf(decl_179, type, esk27_1: ($i > $o) > $i).
120.72/18.06	thf(decl_180, type, esk28_1: ($i > $o) > $i).
120.72/18.06	thf(decl_181, type, esk29_2: ($i > $o) > $i > $i).
120.72/18.06	thf(decl_182, type, esk30_2: ($i > $o) > ($i > $o) > $i).
120.72/18.06	thf(decl_183, type, esk31_2: ($i > $o) > ($i > $o) > $i).
120.72/18.06	thf(decl_184, type, esk32_2: ($i > $o) > ($i > $o) > $i).
120.72/18.06	thf(decl_185, type, esk33_2: ($i > $o) > ($i > $o) > $i).
120.72/18.06	thf(decl_186, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
120.72/18.06	thf(decl_187, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
120.72/18.06	thf(decl_188, type, esk36_2: $i > $i > $i).
120.72/18.06	thf(decl_189, type, esk37_2: $i > $i > $i).
120.72/18.06	thf(decl_190, type, esk38_0: $i).
120.72/18.06	thf(decl_191, type, esk39_0: $i).
120.72/18.06	thf(disjointsetsI1, conjecture, ((setextAx)=>(((((setunionAx)=>(((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>(((descrp)=>((((dsetconstrER)=>(((prop2setE)=>(((((exuE3e)=>((setext)=>(((noeltsimpempty)=>(((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>(((setadjoinOr)=>((setoftrueEq)=>(((emptyinPowerset)=>(((powersetE)=>((setunionI)=>(((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>(((((upairsetE)=>((((emptyE1)=>((vacuousDall)=>((((quantDeMorgan3)=>(((((((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((((exu__Cong)=>((((powerset__Cong)=>(((omega__Cong)=>(((((subsetI1)=>(((eqimpsubset1)=>((subsetI2)=>(((subsetE)=>(((notsubsetI)=>((notequalI1)=>(((subsetRefl)=>(((setadjoinSub)=>((((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>(((inPowerset)=>((powersetsubset)=>(((sepSubset)=>((binunionIL)=>(((binunionIR)=>((binunionEcases)=>((((((binintersectSubset5)=>((binintersectEL)=>(((binintersectSubset2)=>(((binintersectER)=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))=>((binintersect @ X4 @ X5)=(emptyset)))))<=(binintersectSubset3)))<=(binintersectLsub))))<=(binintersectI))<=(binunionRsub))<=(binunionLsub))<=(binunionE))))<=(upairset2IR))))<=(sepInPowerset))))<=(powersetE1)))))<=(subset2powerset))<=(setadjoinSub2)))<=(subsetTrans)))<=(notequalI2))))<=(subsetE2)))<=(emptysetsubset))))<=(eqimpsubset2)))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu)))<=(setunion__Cong)))<=(setadjoin__Cong))<=(emptyset__Cong)))<=(exuE3u))<=(in__Cong))))))<=(notdallE))<=(notdexE))<=(prop2set2propI))<=(prop2setI))<=(quantDeMorgan4)))<=(quantDeMorgan2))<=(quantDeMorgan1))))<=(upairsetIR))<=(upairsetIL)))<=(singletonsswitch))<=(eqinunit))<=(notinsingleton))))))<=(setunionE))))<=(emptyInPowerset)))<=(powersetI))))<=(setadjoinE))))))))<=(setbeta)))<=(emptyI))))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE)))<=(exuE1)))<=(dsetconstrEL))<=(dsetconstrI)))<=(wellorderingAx))))))<=(omega0Ax)))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', disjointsetsI1)).
120.72/18.06	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setbeta)).
120.72/18.06	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', exuE1)).
120.72/18.06	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', dsetconstrEL)).
120.72/18.06	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', dsetconstrI)).
120.72/18.06	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', exuE2)).
120.72/18.06	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.iuPhiJcACS/E---3.1_2553078.p', exuI2)).
120.72/18.06	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', exuI3)).
120.72/18.06	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', exuI1)).
120.72/18.06	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.iuPhiJcACS/E---3.1_2553078.p', emptyE1)).
120.72/18.06	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', exu__Cong)).
120.72/18.06	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', sepSubset)).
120.72/18.06	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setoftrueEq)).
120.72/18.06	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', sepInPowerset)).
120.72/18.06	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', dsetconstr__Cong)).
120.72/18.06	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', exuE3u)).
120.72/18.06	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.iuPhiJcACS/E---3.1_2553078.p', exuEu)).
120.72/18.06	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', descr__Cong)).
120.72/18.06	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', nonemptyI)).
120.72/18.06	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', exuE3e)).
120.72/18.06	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', dsetconstrER)).
120.72/18.06	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', descrp)).
120.72/18.06	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', replAx)).
120.72/18.06	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', powersetE)).
120.72/18.06	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', upairsetIL)).
120.72/18.06	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', quantDeMorgan1)).
120.72/18.06	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', prop2setI)).
120.72/18.06	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', notdexE)).
120.72/18.06	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', upairsetIR)).
120.72/18.06	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', singletonsswitch)).
120.72/18.06	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', eqinunit)).
120.72/18.06	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', notinsingleton)).
120.72/18.06	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setunionE)).
120.72/18.06	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', emptyInPowerset)).
120.72/18.06	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', powersetI)).
120.72/18.06	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setadjoinE)).
120.72/18.06	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', emptyI)).
120.72/18.06	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', notinemptyset)).
120.72/18.06	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', emptysetimpfalse)).
120.72/18.06	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', emptysetE)).
120.72/18.06	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', uniqinunit)).
120.72/18.06	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', nonemptyImpWitness)).
120.72/18.06	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.iuPhiJcACS/E---3.1_2553078.p', wellorderingAx)).
120.72/18.06	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', omega0Ax)).
120.72/18.06	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', subPowSU)).
120.72/18.06	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', powersetAx)).
120.72/18.06	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setunionI)).
120.72/18.06	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setadjoinAx)).
120.72/18.06	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', omega__Cong)).
120.72/18.06	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', powerset__Cong)).
120.72/18.06	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', emptysetAx)).
120.72/18.06	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', emptyinPowerset)).
120.72/18.06	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', upairsetE)).
120.72/18.06	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.iuPhiJcACS/E---3.1_2553078.p', inCongP)).
120.72/18.06	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', quantDeMorgan3)).
120.72/18.06	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', vacuousDall)).
120.72/18.06	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setadjoinOr)).
120.72/18.06	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', notsubsetI)).
120.72/18.06	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', subsetE)).
120.72/18.06	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', subsetI2)).
120.72/18.06	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', eqimpsubset1)).
120.72/18.06	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', subsetI1)).
120.72/18.06	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', notequalI1)).
120.72/18.06	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', powersetsubset)).
120.72/18.06	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', inPowerset)).
120.72/18.06	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', powersetI1)).
120.72/18.06	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', subsetemptysetimpeq)).
120.72/18.06	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setextsub)).
120.72/18.06	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setadjoinSub)).
120.72/18.06	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', subsetRefl)).
120.72/18.06	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binintersectER)).
120.72/18.06	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binintersectSubset2)).
120.72/18.06	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binintersectEL)).
120.72/18.06	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binintersectSubset5)).
120.72/18.06	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binunionEcases)).
120.72/18.06	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binunionIR)).
120.72/18.06	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binunionIL)).
120.72/18.06	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binintersectSubset3)).
120.72/18.06	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', upairset2IR)).
120.72/18.06	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binunionE)).
120.72/18.06	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binunionLsub)).
120.72/18.06	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binunionRsub)).
120.72/18.06	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binintersectI)).
120.72/18.06	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', binintersectLsub)).
120.72/18.06	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', powersetE1)).
120.72/18.06	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', eqimpsubset2)).
120.72/18.06	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', emptysetsubset)).
120.72/18.06	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', subsetE2)).
120.72/18.06	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', notequalI2)).
120.72/18.06	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', subsetTrans)).
120.72/18.06	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setadjoinSub2)).
120.72/18.06	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', subset2powerset)).
120.72/18.06	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.iuPhiJcACS/E---3.1_2553078.p', in__Cong)).
120.72/18.06	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', emptyset__Cong)).
120.72/18.06	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.iuPhiJcACS/E---3.1_2553078.p', setadjoin__Cong)).
120.72/18.06	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setunion__Cong)).
120.72/18.06	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', quantDeMorgan4)).
120.72/18.06	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', quantDeMorgan2)).
120.72/18.06	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', notdallE)).
120.72/18.06	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setadjoinIR)).
120.72/18.06	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', emptyinunitempty)).
120.72/18.06	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setadjoinIL)).
120.72/18.06	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', nonemptyI1)).
120.72/18.06	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', nonemptyE1)).
120.72/18.06	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', noeltsimpempty)).
120.72/18.06	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.iuPhiJcACS/E---3.1_2553078.p', setext)).
120.72/18.06	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', prop2setE)).
120.72/18.06	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.iuPhiJcACS/E---3.1_2553078.p', foundationAx)).
120.72/18.06	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', omegaIndAx)).
120.72/18.06	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', omegaSAx)).
120.72/18.06	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setunionAx)).
120.72/18.06	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.iuPhiJcACS/E---3.1_2553078.p', setextAx)).
120.72/18.06	thf(c_0_112, negated_conjecture, ~(((setextAx)=>(((((setunionAx)=>(((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>(((descrp)=>((((dsetconstrER)=>(((prop2setE)=>(((((exuE3e)=>((setext)=>(((noeltsimpempty)=>(((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>(((setadjoinOr)=>((setoftrueEq)=>(((emptyinPowerset)=>(((powersetE)=>((setunionI)=>(((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>(((((upairsetE)=>((((emptyE1)=>((vacuousDall)=>((((quantDeMorgan3)=>(((((((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((((exu__Cong)=>((((powerset__Cong)=>(((omega__Cong)=>(((((subsetI1)=>(((eqimpsubset1)=>((subsetI2)=>(((subsetE)=>(((notsubsetI)=>((notequalI1)=>(((subsetRefl)=>(((setadjoinSub)=>((((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>(((inPowerset)=>((powersetsubset)=>(((sepSubset)=>((binunionIL)=>(((binunionIR)=>((binunionEcases)=>((((((binintersectSubset5)=>((binintersectEL)=>(((binintersectSubset2)=>(((binintersectER)=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))=>((binintersect @ X4 @ X5)=(emptyset)))))<=(binintersectSubset3)))<=(binintersectLsub))))<=(binintersectI))<=(binunionRsub))<=(binunionLsub))<=(binunionE))))<=(upairset2IR))))<=(sepInPowerset))))<=(powersetE1)))))<=(subset2powerset))<=(setadjoinSub2)))<=(subsetTrans)))<=(notequalI2))))<=(subsetE2)))<=(emptysetsubset))))<=(eqimpsubset2)))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu)))<=(setunion__Cong)))<=(setadjoin__Cong))<=(emptyset__Cong)))<=(exuE3u))<=(in__Cong))))))<=(notdallE))<=(notdexE))<=(prop2set2propI))<=(prop2setI))<=(quantDeMorgan4)))<=(quantDeMorgan2))<=(quantDeMorgan1))))<=(upairsetIR))<=(upairsetIL)))<=(singletonsswitch))<=(eqinunit))<=(notinsingleton))))))<=(setunionE))))<=(emptyInPowerset)))<=(powersetI))))<=(setadjoinE))))))))<=(setbeta)))<=(emptyI))))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE)))<=(exuE1)))<=(dsetconstrEL))<=(dsetconstrI)))<=(wellorderingAx))))))<=(omega0Ax)))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx)))), inference(assume_negation,[status(cth)],[disjointsetsI1])).
120.72/18.06	thf(c_0_113, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
120.72/18.06	thf(c_0_114, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
120.72/18.06	thf(c_0_115, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
120.72/18.06	thf(c_0_116, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
120.72/18.06	thf(c_0_117, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
120.72/18.06	thf(c_0_118, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
120.72/18.06	thf(c_0_119, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
120.72/18.06	thf(c_0_120, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
120.72/18.06	thf(c_0_121, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
120.72/18.06	thf(c_0_122, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
120.72/18.06	thf(c_0_123, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
120.72/18.06	thf(c_0_124, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
120.72/18.06	thf(c_0_125, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
120.72/18.06	thf(c_0_126, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
120.72/18.06	thf(c_0_127, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
120.72/18.06	thf(c_0_128, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
120.72/18.06	thf(c_0_129, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
120.72/18.06	thf(c_0_130, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
120.72/18.06	thf(c_0_131, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
120.72/18.06	thf(c_0_132, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
120.72/18.06	thf(c_0_133, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
120.72/18.06	thf(c_0_134, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
120.72/18.06	thf(c_0_135, plain, ((epred1_0)<=>![X593:$i]:(?[X594:$i]:((((![X595:$i]:(((in @ X595 @ X594)=>![X596:$i]:(((in @ X596 @ X595)=>(in @ X596 @ X593)))))&![X597:$i, X598:$i]:((((in @ X597 @ X593)&(in @ X598 @ X593))=>(![X599:$i]:(((in @ X599 @ X594)=>((in @ X597 @ X599)<=>(in @ X598 @ X599))))=>((X597)=(X598))))))&![X600:$i, X601:$i]:((((in @ X600 @ X594)&(in @ X601 @ X594))=>(![X602:$i]:(((in @ X602 @ X600)=>(in @ X602 @ X601)))|![X603:$i]:(((in @ X603 @ X601)=>(in @ X603 @ X600)))))))&![X604:$i]:(((![X605:$i]:(((in @ X605 @ X604)=>(in @ X605 @ X593)))&?[X606:$i]:((in @ X606 @ X604)))=>?[X607:$i, X608:$i]:(((((in @ X607 @ X594)&(in @ X608 @ X604))&~(?[X609:$i]:(((in @ X609 @ X607)&(in @ X609 @ X604)))))&![X610:$i]:(((in @ X610 @ X594)=>(![X611:$i]:(((in @ X611 @ X610)=>(in @ X611 @ X607)))|(in @ X608 @ X610)))))))))))), introduced(definition)).
120.72/18.06	thf(c_0_136, negated_conjecture, ~((![X321:$i, X322:$i]:((![X323:$i]:(((in @ X323 @ X321)<=>(in @ X323 @ X322)))=>((X321)=(X322))))=>(![X618:$i]:(~(in @ X618 @ emptyset))=>(![X615:$i, X616:$i, X617:$i]:(((in @ X617 @ (setadjoin @ X615 @ X616))<=>(((X617)=(X615))|(in @ X617 @ X616))))=>(![X612:$i, X613:$i]:(((in @ X613 @ (powerset @ X612))<=>![X614:$i]:(((in @ X614 @ X613)=>(in @ X614 @ X612)))))=>(![X324:$i, X325:$i]:(((in @ X325 @ (setunion @ X324))<=>?[X326:$i]:(((in @ X325 @ X326)&(in @ X326 @ X324)))))=>((in @ emptyset @ omega)=>(![X327:$i]:(((in @ X327 @ omega)=>(in @ (setadjoin @ X327 @ X327) @ omega)))=>(![X328:$i]:((((in @ emptyset @ X328)&![X329:$i]:((((in @ X329 @ omega)&(in @ X329 @ X328))=>(in @ (setadjoin @ X329 @ X329) @ X328))))=>![X330:$i]:(((in @ X330 @ omega)=>(in @ X330 @ X328)))))=>(![X331:$i > $i > $o, X332:$i]:((![X333:$i]:(((in @ X333 @ X332)=>(exu @ (X331 @ X333))))=>?[X334:$i]:(![X335:$i]:(((in @ X335 @ X334)<=>?[X336:$i]:(((in @ X336 @ X332)&(X331 @ X336 @ X335))))))))=>(![X337:$i]:((?[X338:$i]:((in @ X338 @ X337))=>?[X339:$i]:(((in @ X339 @ X337)&~(?[X340:$i]:(((in @ X340 @ X339)&(in @ X340 @ X337))))))))=>((epred1_0)=>(![X341:$i > $o]:(((exu @ X341)=>(X341 @ (descr @ (^[Z0:$i]:(X341 @ Z0))))))=>(![X590:$i, X591:$i > $o, X592:$i]:(((in @ X592 @ X590)=>((X591 @ X592)=>(in @ X592 @ (dsetconstr @ X590 @ X591)))))=>(![X587:$i, X588:$i > $o, X589:$i]:(((in @ X589 @ (dsetconstr @ X587 @ X588))=>(in @ X589 @ X587)))=>(![X342:$i, X343:$i > $o, X344:$i]:(((in @ X344 @ (dsetconstr @ X342 @ X343))=>(X343 @ X344)))=>(![X584:$i > $o]:(((exu @ X584)=>?[X585:$i]:(((X584 @ X585)&![X586:$i]:(((X584 @ X586)=>((X585)=(X586))))))))=>(![X345:$o, X346:$i]:(((in @ X346 @ (prop2set @ ((X345))))=>(X345)))=>(![X582:$i]:(((in @ X582 @ emptyset)=>![X583:$o]:((X583))))=>(![X581:$i]:(((in @ X581 @ emptyset)=>~($true)))=>(![X580:$i]:(~(in @ X580 @ emptyset))=>(![X347:$i > $o]:(((exu @ X347)=>?[X348:$i]:((X347 @ X348))))=>(![X349:$i, X350:$i]:((![X351:$i]:(((in @ X351 @ X349)=>(in @ X351 @ X350)))=>(![X352:$i]:(((in @ X352 @ X350)=>(in @ X352 @ X349)))=>((X349)=(X350)))))=>(![X578:$i]:((![X579:$i]:(~(in @ X579 @ X578))=>((X578)=(emptyset))))=>(![X353:$i]:((![X354:$i]:(~(in @ X354 @ X353))=>((X353)=(emptyset))))=>(![X575:$i, X576:$i > $o, X577:$i]:(((in @ X577 @ X575)=>((in @ X577 @ (dsetconstr @ X575 @ X576))<=>(X576 @ X577))))=>(![X355:$i]:(((nonempty @ X355)=>?[X356:$i]:((in @ X356 @ X355))))=>(![X357:$i, X358:$i > $o, X359:$i]:(((in @ X359 @ X357)=>((X358 @ X359)=>(nonempty @ (dsetconstr @ X357 @ X358)))))=>(![X360:$i]:((?[X361:$i]:((in @ X361 @ X360))=>(nonempty @ X360)))=>(![X362:$i, X363:$i]:((in @ X362 @ (setadjoin @ X362 @ X363)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X364:$i, X365:$i, X366:$i]:(((in @ X366 @ X365)=>(in @ X366 @ (setadjoin @ X364 @ X365))))=>(![X571:$i, X572:$i, X573:$i]:(((in @ X573 @ (setadjoin @ X571 @ X572))=>![X574:$o]:(((((X573)=(X571))=>(X574))=>(((in @ X573 @ X572)=>(X574))=>(X574))))))=>(![X367:$i, X368:$i, X369:$i]:(((in @ X369 @ (setadjoin @ X367 @ X368))=>(((X369)=(X367))|(in @ X369 @ X368))))=>(![X370:$i]:(((dsetconstr @ X370 @ (^[Z0:$i]:($true)))=(X370)))=>(![X568:$i, X569:$i]:((![X570:$i]:(((in @ X570 @ X569)=>(in @ X570 @ X568)))=>(in @ X569 @ (powerset @ X568))))=>(![X371:$i]:((in @ emptyset @ (powerset @ X371)))=>(![X567:$i]:((in @ emptyset @ (powerset @ X567)))=>(![X372:$i, X373:$i, X374:$i]:(((in @ X373 @ (powerset @ X372))=>((in @ X374 @ X373)=>(in @ X374 @ X372))))=>(![X375:$i, X376:$i, X377:$i]:(((in @ X376 @ X377)=>((in @ X377 @ X375)=>(in @ X376 @ (setunion @ X375)))))=>(![X563:$i, X564:$i]:(((in @ X564 @ (setunion @ X563))=>![X565:$o]:((![X566:$i]:(((in @ X564 @ X566)=>((in @ X566 @ X563)=>(X565))))=>(X565)))))=>(![X378:$i, X379:$i]:(((in @ X379 @ X378)=>(in @ X379 @ (powerset @ (setunion @ X378)))))=>(![X380:$i > $o]:(((exu @ X380)=>?[X381:$i]:(![X382:$i]:(((X380 @ X382)<=>((X382)=(X381)))))))=>(![X383:$i]:(((nonempty @ X383)=>?[X384:$i]:(((in @ X384 @ X383)&$true))))=>(![X385:$i, X386:$i]:(((in @ X385 @ (setadjoin @ X386 @ emptyset))=>((X385)=(X386))))=>(![X561:$i, X562:$i]:((((X561)!=(X562))=>~(in @ X562 @ (setadjoin @ X561 @ emptyset))))=>(![X559:$i, X560:$i]:((((X559)=(X560))=>(in @ X559 @ (setadjoin @ X560 @ emptyset))))=>(![X557:$i, X558:$i]:(((in @ X557 @ (setadjoin @ X558 @ emptyset))=>(in @ X558 @ (setadjoin @ X557 @ emptyset))))=>(![X387:$i, X388:$i, X389:$i]:(((in @ X389 @ (setadjoin @ X387 @ (setadjoin @ X388 @ emptyset)))=>(((X389)=(X387))|((X389)=(X388)))))=>(![X555:$i, X556:$i]:((in @ X555 @ (setadjoin @ X555 @ (setadjoin @ X556 @ emptyset))))=>(![X553:$i, X554:$i]:((in @ X554 @ (setadjoin @ X553 @ (setadjoin @ X554 @ emptyset))))=>(![X390:$i, X391:$i > $o]:((?[X392:$i]:(((in @ X392 @ X390)&(X391 @ X392)))=>(((dsetconstr @ X390 @ X391)=(emptyset))=>~($true))))=>(![X393:$i > $o, X394:$i]:(((in @ X394 @ emptyset)=>(X393 @ X394)))=>(![X549:$i, X550:$i > $o]:((~(![X551:$i]:(((in @ X551 @ X549)=>(X550 @ X551))))=>?[X552:$i]:(((in @ X552 @ X549)&~((X550 @ X552))))))=>(![X545:$i, X546:$i > $o]:((![X547:$i]:(((in @ X547 @ X545)=>~((X546 @ X547))))=>~(?[X548:$i]:(((in @ X548 @ X545)&(X546 @ X548))))))=>(![X395:$i, X396:$i > $o]:((~(?[X397:$i]:(((in @ X397 @ X395)&(X396 @ X397))))=>![X398:$i]:(((in @ X398 @ X395)=>~((X396 @ X398))))))=>(![X541:$i, X542:$i > $o]:((?[X543:$i]:(((in @ X543 @ X541)&~((X542 @ X543))))=>~(![X544:$i]:(((in @ X544 @ X541)=>(X542 @ X544))))))=>(![X540:$o]:(((X540)=>(in @ emptyset @ (prop2set @ ((X540))))))=>((prop2set2propI)=>(![X536:$i, X537:$i > $o]:((~(?[X538:$i]:(((in @ X538 @ X536)&(X537 @ X538))))=>![X539:$i]:(((in @ X539 @ X536)=>~((X537 @ X539))))))=>(![X532:$i, X533:$i > $o]:((~(![X534:$i]:(((in @ X534 @ X532)=>(X533 @ X534))))=>?[X535:$i]:(((in @ X535 @ X532)&~((X533 @ X535))))))=>(![X399:$i > $o]:((?[X400:$i]:(((X399 @ X400)&![X401:$i]:(((X399 @ X401)=>((X400)=(X401))))))=>(exu @ X399)))=>(![X402:$i > $o]:((?[X403:$i]:((X402 @ X403))=>(![X404:$i, X405:$i]:(((X402 @ X404)=>((X402 @ X405)=>((X404)=(X405)))))=>(exu @ X402))))=>(![X406:$i > $o]:((?[X407:$i]:(![X408:$i]:(((X406 @ X408)<=>((X408)=(X407)))))=>(exu @ X406)))=>(![X409:$i, X410:$i]:((((X409)=(X410))=>![X411:$i, X412:$i]:((((X411)=(X412))=>((in @ X411 @ X409)=>(in @ X412 @ X410))))))=>(![X528:$i, X529:$i]:((((X528)=(X529))=>![X530:$i, X531:$i]:((((X530)=(X531))=>((in @ X530 @ X528)<=>(in @ X531 @ X529))))))=>(![X525:$i > $o]:(((exu @ X525)=>![X526:$i, X527:$i]:(((X525 @ X526)=>((X525 @ X527)=>((X526)=(X527)))))))=>(![X413:$i > $o, X414:$i > $o]:((![X415:$i, X416:$i]:((((X415)=(X416))=>((X413 @ X415)<=>(X414 @ X416))))=>((exu @ X413)<=>(exu @ X414))))=>(((emptyset)=(emptyset))=>(![X521:$i, X522:$i]:((((X521)=(X522))=>![X523:$i, X524:$i]:((((X523)=(X524))=>((setadjoin @ X521 @ X523)=(setadjoin @ X522 @ X524))))))=>(![X417:$i, X418:$i]:((((X417)=(X418))=>((powerset @ X417)=(powerset @ X418))))=>(![X519:$i, X520:$i]:((((X519)=(X520))=>((setunion @ X519)=(setunion @ X520))))=>(((omega)=(omega))=>(![X516:$i > $o]:(((exu @ X516)=>![X517:$i, X518:$i]:(((X516 @ X517)=>((X516 @ X518)=>((X517)=(X518)))))))=>(![X512:$i > $o, X513:$i > $o]:((![X514:$i, X515:$i]:((((X514)=(X515))=>((X512 @ X514)<=>(X513 @ X515))))=>((exu @ X512)=>((exu @ X513)=>((descr @ X512)=(descr @ X513))))))=>(![X506:$i, X507:$i]:((((X506)=(X507))=>![X508:$i > $o, X509:$i > $o]:((![X510:$i]:(((in @ X510 @ X506)=>![X511:$i]:(((in @ X511 @ X507)=>(((X510)=(X511))=>((X508 @ X510)<=>(X509 @ X511)))))))=>((dsetconstr @ X506 @ X508)=(dsetconstr @ X507 @ X509))))))=>(![X419:$i, X420:$i]:((![X421:$i]:(((in @ X421 @ X419)=>(in @ X421 @ X420)))=>(subset @ X419 @ X420)))=>(![X504:$i, X505:$i]:((((X504)=(X505))=>(subset @ X505 @ X504)))=>(![X422:$i, X423:$i]:((((X422)=(X423))=>(subset @ X422 @ X423)))=>(![X424:$i, X425:$i]:((![X426:$i]:(((in @ X426 @ X424)=>(in @ X426 @ X425)))=>(subset @ X424 @ X425)))=>(![X503:$i]:((subset @ emptyset @ X503))=>(![X427:$i, X428:$i, X429:$i]:(((subset @ X427 @ X428)=>((in @ X429 @ X427)=>(in @ X429 @ X428))))=>(![X500:$i, X501:$i, X502:$i]:(((subset @ X500 @ X501)=>(~(in @ X502 @ X501)=>~(in @ X502 @ X500))))=>(![X430:$i, X431:$i, X432:$i]:(((in @ X432 @ X430)=>(~(in @ X432 @ X431)=>~(subset @ X430 @ X431))))=>(![X433:$i, X434:$i]:((~(subset @ X433 @ X434)=>((X433)!=(X434))))=>(![X497:$i, X498:$i, X499:$i]:(((in @ X499 @ X497)=>(~(in @ X499 @ X498)=>((X497)!=(X498)))))=>(![X435:$i]:((subset @ X435 @ X435))=>(![X494:$i, X495:$i, X496:$i]:(((subset @ X494 @ X495)=>((subset @ X495 @ X496)=>(subset @ X494 @ X496))))=>(![X436:$i, X437:$i]:((subset @ X437 @ (setadjoin @ X436 @ X437)))=>(![X491:$i, X492:$i, X493:$i]:(((subset @ X491 @ X493)=>(subset @ X491 @ (setadjoin @ X492 @ X493))))=>(![X489:$i, X490:$i]:(((subset @ X489 @ X490)=>(in @ X489 @ (powerset @ X490))))=>(![X438:$i, X439:$i]:(((subset @ X438 @ X439)=>((subset @ X439 @ X438)=>((X438)=(X439)))))=>(![X440:$i]:(((subset @ X440 @ emptyset)=>((X440)=(emptyset))))=>(![X441:$i, X442:$i]:(((subset @ X442 @ X441)=>(in @ X442 @ (powerset @ X441))))=>(![X487:$i, X488:$i]:(((in @ X488 @ (powerset @ X487))=>(subset @ X488 @ X487)))=>(![X443:$i]:((in @ X443 @ (powerset @ X443)))=>(![X444:$i, X445:$i]:(((subset @ X444 @ X445)=>(subset @ (powerset @ X444) @ (powerset @ X445))))=>(![X485:$i, X486:$i > $o]:((in @ (dsetconstr @ X485 @ X486) @ (powerset @ X485)))=>(![X446:$i, X447:$i > $o]:((subset @ (dsetconstr @ X446 @ X447) @ X446))=>(![X448:$i, X449:$i, X450:$i]:(((in @ X450 @ X448)=>(in @ X450 @ (binunion @ X448 @ X449))))=>(![X483:$i, X484:$i]:((in @ X484 @ (setadjoin @ X483 @ (setadjoin @ X484 @ emptyset))))=>(![X451:$i, X452:$i, X453:$i]:(((in @ X453 @ X452)=>(in @ X453 @ (binunion @ X451 @ X452))))=>(![X454:$i, X455:$i, X456:$i, X457:$o]:(((in @ X456 @ (binunion @ X454 @ X455))=>(((in @ X456 @ X454)=>(X457))=>(((in @ X456 @ X455)=>(X457))=>(X457)))))=>(![X480:$i, X481:$i, X482:$i]:(((in @ X482 @ (binunion @ X480 @ X481))=>((in @ X482 @ X480)|(in @ X482 @ X481))))=>(![X478:$i, X479:$i]:((subset @ X478 @ (binunion @ X478 @ X479)))=>(![X476:$i, X477:$i]:((subset @ X477 @ (binunion @ X476 @ X477)))=>(![X473:$i, X474:$i, X475:$i]:(((in @ X475 @ X473)=>((in @ X475 @ X474)=>(in @ X475 @ (binintersect @ X473 @ X474)))))=>(![X458:$i, X459:$i, X460:$i]:(((subset @ X460 @ X458)=>((subset @ X460 @ X459)=>(subset @ X460 @ (binintersect @ X458 @ X459)))))=>(![X461:$i, X462:$i, X463:$i]:(((in @ X463 @ (binintersect @ X461 @ X462))=>(in @ X463 @ X461)))=>(![X471:$i, X472:$i]:((subset @ (binintersect @ X471 @ X472) @ X471))=>(![X464:$i, X465:$i]:(((subset @ X464 @ X465)=>((binintersect @ X464 @ X465)=(X464))))=>(![X469:$i, X470:$i]:((((binintersect @ X469 @ X470)=(X470))=>(subset @ X470 @ X469)))=>(![X466:$i, X467:$i, X468:$i]:(((in @ X468 @ (binintersect @ X466 @ X467))=>(in @ X468 @ X467)))=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))=>((binintersect @ X4 @ X5)=(emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_112, powersetE]), upairsetIL]), quantDeMorgan1]), prop2setI]), notdexE]), upairsetIR]), singletonsswitch]), eqinunit]), notinsingleton]), setunionE]), emptyInPowerset]), powersetI]), setadjoinE]), c_0_113]), emptyI]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_114]), uniqinunit]), c_0_115]), c_0_116]), nonemptyImpWitness]), wellorderingAx]), c_0_117]), omega0Ax]), subPowSU]), powersetAx]), setunionI]), setadjoinAx]), omega__Cong]), powerset__Cong]), emptysetAx]), emptyinPowerset]), upairsetE]), inCongP]), c_0_118]), c_0_119]), c_0_120]), quantDeMorgan3]), vacuousDall]), c_0_121]), c_0_122]), setadjoinOr]), notsubsetI]), subsetE]), subsetI2]), eqimpsubset1]), subsetI1]), notequalI1]), powersetsubset]), inPowerset]), powersetI1]), subsetemptysetimpeq]), setextsub]), setadjoinSub]), subsetRefl]), c_0_123]), c_0_124]), binintersectER]), binintersectSubset2]), binintersectEL]), binintersectSubset5]), binunionEcases]), binunionIR]), binunionIL]), binintersectSubset3]), c_0_125]), upairset2IR]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectLsub]), powersetE1]), eqimpsubset2]), emptysetsubset]), subsetE2]), notequalI2]), subsetTrans]), setadjoinSub2]), subset2powerset]), c_0_126]), in__Cong]), c_0_127]), emptyset__Cong]), setadjoin__Cong]), setunion__Cong]), c_0_128]), quantDeMorgan4]), quantDeMorgan2]), c_0_129]), notdallE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), nonemptyI1]), c_0_130]), nonemptyE1]), noeltsimpempty]), setext]), c_0_131]), prop2setE]), c_0_132]), c_0_133]), foundationAx]), c_0_134]), omegaIndAx]), omegaSAx]), setunionAx]), setextAx])])]), c_0_135])).
120.72/18.06	thf(c_0_137, negated_conjecture, ![X619:$i, X620:$i, X622:$i, X623:$i, X624:$i, X625:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X632:$i, X633:$i, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i, X641:$i, X642:$i > $i > $o, X643:$i, X646:$i, X648:$i, X649:$i, X650:$i, X651:$i, X653:$i, X654:$i > $o, X655:$i, X656:$i > $o, X657:$i, X658:$i, X659:$i > $o, X660:$i, X661:$i, X662:$i > $o, X663:$i, X664:$i > $o, X666:$i, X667:$o, X668:$i, X669:$i, X670:$o, X671:$i, X672:$i, X673:$i > $o, X675:$i, X676:$i, X679:$i, X681:$i, X683:$i, X684:$i > $o, X685:$i, X686:$i, X688:$i, X689:$i > $o, X690:$i, X691:$i, X692:$i, X693:$i, X694:$i, X695:$i, X696:$i, X697:$i, X698:$i, X699:$i, X700:$i, X701:$o, X702:$i, X703:$i, X704:$i, X705:$i, X706:$i, X707:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$o, X721:$i, X722:$i, X723:$i > $o, X725:$i, X726:$i, X727:$i, X729:$i, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i, X743:$i, X744:$i, X745:$i > $o, X746:$i, X747:$i > $o, X748:$i, X749:$i, X750:$i > $o, X751:$i, X753:$i, X754:$i > $o, X756:$i, X757:$i, X758:$i > $o, X760:$i, X761:$i, X762:$i > $o, X763:$i, X765:$o, X766:$i, X767:$i > $o, X769:$i, X770:$i, X771:$i > $o, X772:$i, X774:$i > $o, X775:$i, X777:$i > $o, X778:$i, X781:$i > $o, X782:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i, X792:$i > $o, X793:$i, X794:$i, X795:$i > $o, X796:$i > $o, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i > $o, X808:$i, X809:$i, X810:$i > $o, X811:$i > $o, X814:$i, X815:$i, X816:$i > $o, X817:$i > $o, X820:$i, X821:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$i, X865:$i, X866:$i, X867:$i > $o, X868:$i, X869:$i > $o, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$o, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X906:$i, X909:$i]:((((~(in @ (esk1_2 @ X619 @ X620) @ X619)|~(in @ (esk1_2 @ X619 @ X620) @ X620)|((X619)=(X620)))&((in @ (esk1_2 @ X619 @ X620) @ X619)|(in @ (esk1_2 @ X619 @ X620) @ X620)|((X619)=(X620))))&(~(in @ X622 @ emptyset)&(((~(in @ X625 @ (setadjoin @ X623 @ X624))|(((X625)=(X623))|(in @ X625 @ X624)))&((((X625)!=(X623))|(in @ X625 @ (setadjoin @ X623 @ X624)))&(~(in @ X625 @ X624)|(in @ X625 @ (setadjoin @ X623 @ X624)))))&(((~(in @ X627 @ (powerset @ X626))|(~(in @ X628 @ X627)|(in @ X628 @ X626)))&(((in @ (esk2_2 @ X629 @ X630) @ X630)|(in @ X630 @ (powerset @ X629)))&(~(in @ (esk2_2 @ X629 @ X630) @ X629)|(in @ X630 @ (powerset @ X629)))))&(((((in @ X633 @ (esk3_2 @ X632 @ X633))|~(in @ X633 @ (setunion @ X632)))&((in @ (esk3_2 @ X632 @ X633) @ X632)|~(in @ X633 @ (setunion @ X632))))&(~(in @ X636 @ X637)|~(in @ X637 @ X635)|(in @ X636 @ (setunion @ X635))))&((in @ emptyset @ omega)&((~(in @ X638 @ omega)|(in @ (setadjoin @ X638 @ X638) @ omega))&(((((in @ (esk4_1 @ X639) @ omega)|~(in @ emptyset @ X639)|(~(in @ X641 @ omega)|(in @ X641 @ X639)))&((in @ (esk4_1 @ X639) @ X639)|~(in @ emptyset @ X639)|(~(in @ X641 @ omega)|(in @ X641 @ X639))))&(~(in @ (setadjoin @ (esk4_1 @ X639) @ (esk4_1 @ X639)) @ X639)|~(in @ emptyset @ X639)|(~(in @ X641 @ omega)|(in @ X641 @ X639))))&((((((in @ (esk7_3 @ X642 @ X643 @ X646) @ X643)|~(in @ X646 @ (esk6_2 @ X642 @ X643))|(in @ (esk5_2 @ X642 @ X643) @ X643))&((X642 @ (esk7_3 @ X642 @ X643 @ X646) @ X646)|~(in @ X646 @ (esk6_2 @ X642 @ X643))|(in @ (esk5_2 @ X642 @ X643) @ X643)))&(~(in @ X649 @ X643)|~(X642 @ X649 @ X648)|(in @ X648 @ (esk6_2 @ X642 @ X643))|(in @ (esk5_2 @ X642 @ X643) @ X643)))&((((in @ (esk7_3 @ X642 @ X643 @ X646) @ X643)|~(in @ X646 @ (esk6_2 @ X642 @ X643))|~(exu @ (X642 @ (esk5_2 @ X642 @ X643))))&((X642 @ (esk7_3 @ X642 @ X643 @ X646) @ X646)|~(in @ X646 @ (esk6_2 @ X642 @ X643))|~(exu @ (X642 @ (esk5_2 @ X642 @ X643)))))&(~(in @ X649 @ X643)|~(X642 @ X649 @ X648)|(in @ X648 @ (esk6_2 @ X642 @ X643))|~(exu @ (X642 @ (esk5_2 @ X642 @ X643))))))&((((in @ (esk8_1 @ X650) @ X650)|~(in @ X651 @ X650))&(~(in @ X653 @ (esk8_1 @ X650))|~(in @ X653 @ X650)|~(in @ X651 @ X650)))&((epred1_0)&((~(exu @ X654)|(X654 @ (descr @ X654)))&((~(in @ X657 @ X655)|(~(X656 @ X657)|(in @ X657 @ (dsetconstr @ X655 @ X656))))&((~(in @ X660 @ (dsetconstr @ X658 @ X659))|(in @ X660 @ X658))&((~(in @ X663 @ (dsetconstr @ X661 @ X662))|(X662 @ X663))&((((X664 @ (esk9_1 @ X664))|~(exu @ X664))&(~(X664 @ X666)|((esk9_1 @ X664)=(X666))|~(exu @ X664)))&((~(in @ X668 @ (prop2set @ ((X667))))|(X667))&((~(in @ X669 @ emptyset)|(X670))&((~(in @ X671 @ emptyset)|~($true))&(~(in @ X672 @ emptyset)&((~(exu @ X673)|(X673 @ (esk10_1 @ X673)))&(((((in @ (esk12_2 @ X675 @ X676) @ X676)|((X675)=(X676))|(in @ (esk11_2 @ X675 @ X676) @ X675))&(~(in @ (esk12_2 @ X675 @ X676) @ X675)|((X675)=(X676))|(in @ (esk11_2 @ X675 @ X676) @ X675)))&(((in @ (esk12_2 @ X675 @ X676) @ X676)|((X675)=(X676))|~(in @ (esk11_2 @ X675 @ X676) @ X676))&(~(in @ (esk12_2 @ X675 @ X676) @ X675)|((X675)=(X676))|~(in @ (esk11_2 @ X675 @ X676) @ X676))))&(((in @ (esk13_1 @ X679) @ X679)|((X679)=(emptyset)))&(((in @ (esk14_1 @ X681) @ X681)|((X681)=(emptyset)))&(((~(in @ X685 @ (dsetconstr @ X683 @ X684))|(X684 @ X685)|~(in @ X685 @ X683))&(~(X684 @ X685)|(in @ X685 @ (dsetconstr @ X683 @ X684))|~(in @ X685 @ X683)))&((~(nonempty @ X686)|(in @ (esk15_1 @ X686) @ X686))&((~(in @ X690 @ X688)|(~(X689 @ X690)|(nonempty @ (dsetconstr @ X688 @ X689))))&((~(in @ X692 @ X691)|(nonempty @ X691))&((in @ X693 @ (setadjoin @ X693 @ X694))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X697 @ X696)|(in @ X697 @ (setadjoin @ X695 @ X696)))&(((((in @ X700 @ X699)|(X701)|((X700)=(X698))|~(in @ X700 @ (setadjoin @ X698 @ X699)))&(~(X701)|(X701)|((X700)=(X698))|~(in @ X700 @ (setadjoin @ X698 @ X699))))&(((in @ X700 @ X699)|(X701)|~(X701)|~(in @ X700 @ (setadjoin @ X698 @ X699)))&(~(X701)|(X701)|~(X701)|~(in @ X700 @ (setadjoin @ X698 @ X699)))))&((~(in @ X704 @ (setadjoin @ X702 @ X703))|(((X704)=(X702))|(in @ X704 @ X703)))&(((dsetconstr @ X705 @ (^[Z0:$i]:($true)))=(X705))&((((in @ (esk16_2 @ X706 @ X707) @ X707)|(in @ X707 @ (powerset @ X706)))&(~(in @ (esk16_2 @ X706 @ X707) @ X706)|(in @ X707 @ (powerset @ X706))))&((in @ emptyset @ (powerset @ X709))&((in @ emptyset @ (powerset @ X710))&((~(in @ X712 @ (powerset @ X711))|(~(in @ X713 @ X712)|(in @ X713 @ X711)))&((~(in @ X715 @ X716)|(~(in @ X716 @ X714)|(in @ X715 @ (setunion @ X714))))&((((in @ X718 @ (esk17_3 @ X717 @ X718 @ X719))|(X719)|~(in @ X718 @ (setunion @ X717)))&(((in @ (esk17_3 @ X717 @ X718 @ X719) @ X717)|(X719)|~(in @ X718 @ (setunion @ X717)))&(~(X719)|(X719)|~(in @ X718 @ (setunion @ X717)))))&((~(in @ X722 @ X721)|(in @ X722 @ (powerset @ (setunion @ X721))))&(((~(X723 @ X725)|((X725)=(esk18_1 @ X723))|~(exu @ X723))&(((X726)!=(esk18_1 @ X723))|(X723 @ X726)|~(exu @ X723)))&((((in @ (esk19_1 @ X727) @ X727)|~(nonempty @ X727))&(($true)|~(nonempty @ X727)))&((~(in @ X729 @ (setadjoin @ X730 @ emptyset))|((X729)=(X730)))&((((X731)=(X732))|~(in @ X732 @ (setadjoin @ X731 @ emptyset)))&((((X733)!=(X734))|(in @ X733 @ (setadjoin @ X734 @ emptyset)))&((~(in @ X735 @ (setadjoin @ X736 @ emptyset))|(in @ X736 @ (setadjoin @ X735 @ emptyset)))&((~(in @ X739 @ (setadjoin @ X737 @ (setadjoin @ X738 @ emptyset)))|(((X739)=(X737))|((X739)=(X738))))&((in @ X740 @ (setadjoin @ X740 @ (setadjoin @ X741 @ emptyset)))&((in @ X743 @ (setadjoin @ X742 @ (setadjoin @ X743 @ emptyset)))&((~(in @ X746 @ X744)|~(X745 @ X746)|(((dsetconstr @ X744 @ X745)!=(emptyset))|~($true)))&((~(in @ X748 @ emptyset)|(X747 @ X748))&((((in @ (esk20_2 @ X749 @ X750) @ X749)|(~(in @ X751 @ X749)|(X750 @ X751)))&(~(X750 @ (esk20_2 @ X749 @ X750))|(~(in @ X751 @ X749)|(X750 @ X751))))&((((in @ (esk21_2 @ X753 @ X754) @ X753)|(~(in @ X756 @ X753)|~(X754 @ X756)))&((X754 @ (esk21_2 @ X753 @ X754))|(~(in @ X756 @ X753)|~(X754 @ X756))))&((((in @ (esk22_2 @ X757 @ X758) @ X757)|(~(in @ X760 @ X757)|~(X758 @ X760)))&((X758 @ (esk22_2 @ X757 @ X758))|(~(in @ X760 @ X757)|~(X758 @ X760))))&((((in @ (esk23_2 @ X761 @ X762) @ X761)|(~(in @ X763 @ X761)|(X762 @ X763)))&(~(X762 @ (esk23_2 @ X761 @ X762))|(~(in @ X763 @ X761)|(X762 @ X763))))&((~(X765)|(in @ emptyset @ (prop2set @ ((X765)))))&((prop2set2propI)&((((in @ (esk24_2 @ X766 @ X767) @ X766)|(~(in @ X769 @ X766)|~(X767 @ X769)))&((X767 @ (esk24_2 @ X766 @ X767))|(~(in @ X769 @ X766)|~(X767 @ X769))))&((((in @ (esk25_2 @ X770 @ X771) @ X770)|(~(in @ X772 @ X770)|(X771 @ X772)))&(~(X771 @ (esk25_2 @ X770 @ X771))|(~(in @ X772 @ X770)|(X771 @ X772))))&((((X774 @ (esk26_2 @ X774 @ X775))|~(X774 @ X775)|(exu @ X774))&(((X775)!=(esk26_2 @ X774 @ X775))|~(X774 @ X775)|(exu @ X774)))&((((X777 @ (esk27_1 @ X777))|(exu @ X777)|~(X777 @ X778))&(((X777 @ (esk28_1 @ X777))|(exu @ X777)|~(X777 @ X778))&(((esk27_1 @ X777)!=(esk28_1 @ X777))|(exu @ X777)|~(X777 @ X778))))&(((~(X781 @ (esk29_2 @ X781 @ X782))|((esk29_2 @ X781 @ X782)!=(X782))|(exu @ X781))&((X781 @ (esk29_2 @ X781 @ X782))|((esk29_2 @ X781 @ X782)=(X782))|(exu @ X781)))&((((X784)!=(X785))|(((X786)!=(X787))|(~(in @ X786 @ X784)|(in @ X787 @ X785))))&(((~(in @ X790 @ X788)|(in @ X791 @ X789)|((X790)!=(X791))|((X788)!=(X789)))&(~(in @ X791 @ X789)|(in @ X790 @ X788)|((X790)!=(X791))|((X788)!=(X789))))&((~(exu @ X792)|(~(X792 @ X793)|(~(X792 @ X794)|((X793)=(X794)))))&((((~(exu @ X795)|(exu @ X796)|((esk30_2 @ X795 @ X796)=(esk31_2 @ X795 @ X796)))&(~(exu @ X796)|(exu @ X795)|((esk30_2 @ X795 @ X796)=(esk31_2 @ X795 @ X796))))&(((~(exu @ X795)|(exu @ X796)|(~(X795 @ (esk30_2 @ X795 @ X796))|~(X796 @ (esk31_2 @ X795 @ X796))))&(~(exu @ X796)|(exu @ X795)|(~(X795 @ (esk30_2 @ X795 @ X796))|~(X796 @ (esk31_2 @ X795 @ X796)))))&((~(exu @ X795)|(exu @ X796)|((X795 @ (esk30_2 @ X795 @ X796))|(X796 @ (esk31_2 @ X795 @ X796))))&(~(exu @ X796)|(exu @ X795)|((X795 @ (esk30_2 @ X795 @ X796))|(X796 @ (esk31_2 @ X795 @ X796)))))))&(((emptyset)=(emptyset))&((((X799)!=(X800))|(((X801)!=(X802))|((setadjoin @ X799 @ X801)=(setadjoin @ X800 @ X802))))&((((X803)!=(X804))|((powerset @ X803)=(powerset @ X804)))&((((X805)!=(X806))|((setunion @ X805)=(setunion @ X806)))&(((omega)=(omega))&((~(exu @ X807)|(~(X807 @ X808)|(~(X807 @ X809)|((X808)=(X809)))))&(((((esk32_2 @ X810 @ X811)=(esk33_2 @ X810 @ X811))|(~(exu @ X810)|(~(exu @ X811)|((descr @ X810)=(descr @ X811)))))&((~(X810 @ (esk32_2 @ X810 @ X811))|~(X811 @ (esk33_2 @ X810 @ X811))|(~(exu @ X810)|(~(exu @ X811)|((descr @ X810)=(descr @ X811)))))&((X810 @ (esk32_2 @ X810 @ X811))|(X811 @ (esk33_2 @ X810 @ X811))|(~(exu @ X810)|(~(exu @ X811)|((descr @ X810)=(descr @ X811)))))))&((((in @ (esk34_4 @ X814 @ X815 @ X816 @ X817) @ X814)|((dsetconstr @ X814 @ X816)=(dsetconstr @ X815 @ X817))|((X814)!=(X815)))&(((in @ (esk35_4 @ X814 @ X815 @ X816 @ X817) @ X815)|((dsetconstr @ X814 @ X816)=(dsetconstr @ X815 @ X817))|((X814)!=(X815)))&((((esk34_4 @ X814 @ X815 @ X816 @ X817)=(esk35_4 @ X814 @ X815 @ X816 @ X817))|((dsetconstr @ X814 @ X816)=(dsetconstr @ X815 @ X817))|((X814)!=(X815)))&((~(X816 @ (esk34_4 @ X814 @ X815 @ X816 @ X817))|~(X817 @ (esk35_4 @ X814 @ X815 @ X816 @ X817))|((dsetconstr @ X814 @ X816)=(dsetconstr @ X815 @ X817))|((X814)!=(X815)))&((X816 @ (esk34_4 @ X814 @ X815 @ X816 @ X817))|(X817 @ (esk35_4 @ X814 @ X815 @ X816 @ X817))|((dsetconstr @ X814 @ X816)=(dsetconstr @ X815 @ X817))|((X814)!=(X815)))))))&((((in @ (esk36_2 @ X820 @ X821) @ X820)|(subset @ X820 @ X821))&(~(in @ (esk36_2 @ X820 @ X821) @ X821)|(subset @ X820 @ X821)))&((((X823)!=(X824))|(subset @ X824 @ X823))&((((X825)!=(X826))|(subset @ X825 @ X826))&((((in @ (esk37_2 @ X827 @ X828) @ X827)|(subset @ X827 @ X828))&(~(in @ (esk37_2 @ X827 @ X828) @ X828)|(subset @ X827 @ X828)))&((subset @ emptyset @ X830)&((~(subset @ X831 @ X832)|(~(in @ X833 @ X831)|(in @ X833 @ X832)))&((~(subset @ X834 @ X835)|((in @ X836 @ X835)|~(in @ X836 @ X834)))&((~(in @ X839 @ X837)|((in @ X839 @ X838)|~(subset @ X837 @ X838)))&(((subset @ X840 @ X841)|((X840)!=(X841)))&((~(in @ X844 @ X842)|((in @ X844 @ X843)|((X842)!=(X843))))&((subset @ X845 @ X845)&((~(subset @ X846 @ X847)|(~(subset @ X847 @ X848)|(subset @ X846 @ X848)))&((subset @ X850 @ (setadjoin @ X849 @ X850))&((~(subset @ X851 @ X853)|(subset @ X851 @ (setadjoin @ X852 @ X853)))&((~(subset @ X854 @ X855)|(in @ X854 @ (powerset @ X855)))&((~(subset @ X856 @ X857)|(~(subset @ X857 @ X856)|((X856)=(X857))))&((~(subset @ X858 @ emptyset)|((X858)=(emptyset)))&((~(subset @ X860 @ X859)|(in @ X860 @ (powerset @ X859)))&((~(in @ X862 @ (powerset @ X861))|(subset @ X862 @ X861))&((in @ X863 @ (powerset @ X863))&((~(subset @ X864 @ X865)|(subset @ (powerset @ X864) @ (powerset @ X865)))&((in @ (dsetconstr @ X866 @ X867) @ (powerset @ X866))&((subset @ (dsetconstr @ X868 @ X869) @ X868)&((~(in @ X872 @ X870)|(in @ X872 @ (binunion @ X870 @ X871)))&((in @ X874 @ (setadjoin @ X873 @ (setadjoin @ X874 @ emptyset)))&((~(in @ X877 @ X876)|(in @ X877 @ (binunion @ X875 @ X876)))&(((((in @ X880 @ X879)|(X881)|(in @ X880 @ X878)|~(in @ X880 @ (binunion @ X878 @ X879)))&(~(X881)|(X881)|(in @ X880 @ X878)|~(in @ X880 @ (binunion @ X878 @ X879))))&(((in @ X880 @ X879)|(X881)|~(X881)|~(in @ X880 @ (binunion @ X878 @ X879)))&(~(X881)|(X881)|~(X881)|~(in @ X880 @ (binunion @ X878 @ X879)))))&((~(in @ X884 @ (binunion @ X882 @ X883))|((in @ X884 @ X882)|(in @ X884 @ X883)))&((subset @ X885 @ (binunion @ X885 @ X886))&((subset @ X888 @ (binunion @ X887 @ X888))&((~(in @ X891 @ X889)|(~(in @ X891 @ X890)|(in @ X891 @ (binintersect @ X889 @ X890))))&((~(subset @ X894 @ X892)|(~(subset @ X894 @ X893)|(subset @ X894 @ (binintersect @ X892 @ X893))))&((~(in @ X897 @ (binintersect @ X895 @ X896))|(in @ X897 @ X895))&((subset @ (binintersect @ X898 @ X899) @ X898)&((~(subset @ X900 @ X901)|((binintersect @ X900 @ X901)=(X900)))&((((binintersect @ X902 @ X903)!=(X903))|(subset @ X903 @ X902))&((~(in @ X906 @ (binintersect @ X904 @ X905))|(in @ X906 @ X905))&((~(in @ X909 @ esk39_0)|~(in @ X909 @ esk38_0))&((binintersect @ esk38_0 @ esk39_0)!=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_136])])])])])])])).
120.72/18.06	thf(c_0_138, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ X4)|~((in @ X2 @ (binintersect @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_137])).
120.72/18.06	thf(c_0_139, negated_conjecture, ![X2:$i]:(((in @ (esk19_1 @ X2) @ X2)|~((nonempty @ X2)))), inference(split_conjunct,[status(thm)],[c_0_137])).
120.72/18.06	thf(c_0_140, negated_conjecture, ![X2:$i]:((~((in @ X2 @ esk39_0))|~((in @ X2 @ esk38_0)))), inference(split_conjunct,[status(thm)],[c_0_137])).
120.72/18.06	thf(c_0_141, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk19_1 @ (binintersect @ X2 @ X3)) @ X3)|~((nonempty @ (binintersect @ X2 @ X3))))), inference(spm,[status(thm)],[c_0_138, c_0_139])).
120.72/18.06	thf(c_0_142, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ X3)|~((in @ X2 @ (binintersect @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_137])).
120.72/18.06	thf(c_0_143, negated_conjecture, ![X2:$i]:((~((in @ (esk19_1 @ (binintersect @ X2 @ esk39_0)) @ esk38_0))|~((nonempty @ (binintersect @ X2 @ esk39_0))))), inference(spm,[status(thm)],[c_0_140, c_0_141])).
120.72/18.06	thf(c_0_144, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk19_1 @ (binintersect @ X2 @ X3)) @ X2)|~((nonempty @ (binintersect @ X2 @ X3))))), inference(spm,[status(thm)],[c_0_142, c_0_139])).
120.72/18.06	thf(c_0_145, negated_conjecture, ![X2:$i, X3:$i]:(((nonempty @ X3)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_137])).
120.72/18.06	thf(c_0_146, negated_conjecture, ![X2:$i]:(((in @ (esk13_1 @ X2) @ X2)|((X2)=(emptyset)))), inference(split_conjunct,[status(thm)],[c_0_137])).
120.72/18.06	thf(c_0_147, negated_conjecture, ~((nonempty @ (binintersect @ esk38_0 @ esk39_0))), inference(spm,[status(thm)],[c_0_143, c_0_144])).
120.72/18.06	thf(c_0_148, negated_conjecture, ![X2:$i]:((((X2)=(emptyset))|(nonempty @ X2))), inference(spm,[status(thm)],[c_0_145, c_0_146])).
120.72/18.06	thf(c_0_149, negated_conjecture, ((binintersect @ esk38_0 @ esk39_0)!=(emptyset)), inference(split_conjunct,[status(thm)],[c_0_137])).
120.72/18.06	thf(c_0_150, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_148]), c_0_149]), ['proof']).
120.72/18.06	% SZS output end CNFRefutation
120.72/18.06	% Parsed axioms                        : 244
120.72/18.06	% Removed by relevancy pruning/SinE    : 132
120.72/18.06	% Initial clauses                      : 184
120.72/18.06	% Removed in clause preprocessing      : 18
120.72/18.06	% Initial clauses in saturation        : 166
120.72/18.06	% Processed clauses                    : 721
120.72/18.06	% ...of these trivial                  : 20
120.72/18.06	% ...subsumed                          : 150
120.72/18.06	% ...remaining for further processing  : 551
120.72/18.06	% Other redundant clauses eliminated   : 25
120.72/18.06	% Clauses deleted for lack of memory   : 0
120.72/18.06	% Backward-subsumed                    : 17
120.72/18.06	% Backward-rewritten                   : 8
120.72/18.06	% Generated clauses                    : 6180
120.72/18.06	% ...of the previous two non-redundant : 5868
120.72/18.06	% ...aggressively subsumed             : 0
120.72/18.06	% Contextual simplify-reflections      : 1
120.72/18.06	% Paramodulations                      : 6152
120.72/18.06	% Factorizations                       : 2
120.72/18.06	% NegExts                              : 0
120.72/18.06	% Equation resolutions                 : 25
120.72/18.06	% Disequality decompositions           : 0
120.72/18.06	% Total rewrite steps                  : 354
120.72/18.06	% ...of those cached                   : 282
120.72/18.06	% Propositional unsat checks           : 0
120.72/18.06	%    Propositional check models        : 0
120.72/18.06	%    Propositional check unsatisfiable : 0
120.72/18.06	%    Propositional clauses             : 0
120.72/18.06	%    Propositional clauses after purity: 0
120.72/18.06	%    Propositional unsat core size     : 0
120.72/18.06	%    Propositional preprocessing time  : 0.000
120.72/18.06	%    Propositional encoding time       : 0.000
120.72/18.06	%    Propositional solver time         : 0.000
120.72/18.06	%    Success case prop preproc time    : 0.000
120.72/18.06	%    Success case prop encoding time   : 0.000
120.72/18.06	%    Success case prop solver time     : 0.000
120.72/18.06	% Current number of processed clauses  : 375
120.72/18.06	%    Positive orientable unit clauses  : 48
120.72/18.06	%    Positive unorientable unit clauses: 0
120.72/18.06	%    Negative unit clauses             : 7
120.72/18.06	%    Non-unit-clauses                  : 320
120.72/18.06	% Current number of unprocessed clauses: 5315
120.72/18.06	% ...number of literals in the above   : 16609
120.72/18.06	% Current number of archived formulas  : 0
120.72/18.06	% Current number of archived clauses   : 165
120.72/18.06	% Clause-clause subsumption calls (NU) : 9882
120.72/18.06	% Rec. Clause-clause subsumption calls : 6549
120.72/18.06	% Non-unit clause-clause subsumptions  : 117
120.72/18.06	% Unit Clause-clause subsumption calls : 257
120.72/18.06	% Rewrite failures with RHS unbound    : 0
120.72/18.06	% BW rewrite match attempts            : 13
120.72/18.06	% BW rewrite match successes           : 5
120.72/18.06	% Condensation attempts                : 721
120.72/18.06	% Condensation successes               : 5
120.72/18.06	% Termbank termtop insertions          : 110245
120.72/18.06	% Search garbage collected termcells   : 10214
120.72/18.06	
120.72/18.06	% -------------------------------------------------
120.72/18.06	% User time                : 16.642 s
120.72/18.06	% System time              : 0.622 s
120.72/18.06	% Total time               : 17.264 s
120.72/18.06	% Maximum resident set size: 6432 pages
120.72/18.06	
120.72/18.06	% -------------------------------------------------
120.72/18.06	% User time                : 16.653 s
120.72/18.06	% System time              : 0.631 s
120.72/18.06	% Total time               : 17.285 s
120.72/18.06	% Maximum resident set size: 4864 pages
120.72/18.06	% E exiting
120.72/18.06	EOF