0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : run_E %s %d THM 0.10/0.32 % Computer : n022.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 03:51:16 EDT 2022 0.10/0.32 % CPUTime : 0.16/0.45 Running higher-order on 8 cores theorem proving 0.16/0.45 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.45 # Version: 3.0pre003-ho 0.16/0.52 # Preprocessing class: HSLMSLSSLLLCHFA. 0.16/0.52 # Scheduled 8 strats onto 8 cores with 120 seconds (960 total) 0.16/0.52 # Starting ehoh_best5 with 120s (1) cores 0.16/0.52 # Starting almost_fo_3_lam with 120s (1) cores 0.16/0.52 # Starting new_bool_5 with 120s (1) cores 0.16/0.52 # Starting pre_casc_3 with 120s (1) cores 0.16/0.52 # Starting ho_unfolding_8 with 120s (1) cores 0.16/0.52 # Starting new_ho_10_cnf2 with 120s (1) cores 0.16/0.52 # Starting new_bool_3 with 120s (1) cores 0.16/0.52 # Starting new_ho_5 with 120s (1) cores 0.16/0.52 # new_bool_5 with pid 32372 completed with status 0 0.16/0.52 # Result found by new_bool_5 0.16/0.52 # Preprocessing class: HSLMSLSSLLLCHFA. 0.16/0.52 # Scheduled 8 strats onto 8 cores with 120 seconds (960 total) 0.16/0.52 # Starting ehoh_best5 with 120s (1) cores 0.16/0.52 # Starting almost_fo_3_lam with 120s (1) cores 0.16/0.52 # Starting new_bool_5 with 120s (1) cores 0.16/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0) 0.16/0.52 # ...ProofStateSinE()=140/309 0.16/0.52 # Search class: HGHSM-FSLM31-MHFMMSBN 0.16/0.52 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.16/0.52 # Starting new_ho_10_cnf2 with 65s (1) cores 0.16/0.52 # new_ho_10_cnf2 with pid 32378 completed with status 0 0.16/0.52 # Result found by new_ho_10_cnf2 0.16/0.52 # Preprocessing class: HSLMSLSSLLLCHFA. 0.16/0.52 # Scheduled 8 strats onto 8 cores with 120 seconds (960 total) 0.16/0.52 # Starting ehoh_best5 with 120s (1) cores 0.16/0.52 # Starting almost_fo_3_lam with 120s (1) cores 0.16/0.52 # Starting new_bool_5 with 120s (1) cores 0.16/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0) 0.16/0.52 # ...ProofStateSinE()=140/309 0.16/0.52 # Search class: HGHSM-FSLM31-MHFMMSBN 0.16/0.52 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.16/0.52 # Starting new_ho_10_cnf2 with 65s (1) cores 0.16/0.52 # Preprocessing time : 0.003 s 0.16/0.52 # Presaturation interreduction done 0.16/0.52 0.16/0.52 # Proof found! 0.16/0.52 # SZS status Theorem 0.16/0.52 # SZS output start CNFRefutation 0.16/0.52 thf(decl_22, type, in: $i > $i > $o). 0.16/0.52 thf(decl_23, type, exu: ($i > $o) > $o). 0.16/0.52 thf(decl_24, type, setextAx: $o). 0.16/0.52 thf(decl_25, type, emptyset: $i). 0.16/0.52 thf(decl_26, type, emptysetAx: $o). 0.16/0.52 thf(decl_27, type, setadjoin: $i > $i > $i). 0.16/0.52 thf(decl_28, type, setadjoinAx: $o). 0.16/0.52 thf(decl_29, type, powerset: $i > $i). 0.16/0.52 thf(decl_30, type, powersetAx: $o). 0.16/0.52 thf(decl_31, type, setunion: $i > $i). 0.16/0.52 thf(decl_32, type, setunionAx: $o). 0.16/0.52 thf(decl_33, type, omega: $i). 0.16/0.52 thf(decl_34, type, omega0Ax: $o). 0.16/0.52 thf(decl_35, type, omegaSAx: $o). 0.16/0.52 thf(decl_36, type, omegaIndAx: $o). 0.16/0.52 thf(decl_37, type, replAx: $o). 0.16/0.52 thf(decl_38, type, foundationAx: $o). 0.16/0.52 thf(decl_39, type, wellorderingAx: $o). 0.16/0.52 thf(decl_40, type, descr: ($i > $o) > $i). 0.16/0.52 thf(decl_41, type, descrp: $o). 0.16/0.52 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.16/0.52 thf(decl_43, type, dsetconstrI: $o). 0.16/0.52 thf(decl_44, type, dsetconstrEL: $o). 0.16/0.52 thf(decl_45, type, dsetconstrER: $o). 0.16/0.52 thf(decl_46, type, exuE1: $o). 0.16/0.52 thf(decl_47, type, prop2set: $o > $i). 0.16/0.52 thf(decl_48, type, prop2setE: $o). 0.16/0.52 thf(decl_49, type, emptysetE: $o). 0.16/0.52 thf(decl_50, type, emptysetimpfalse: $o). 0.16/0.52 thf(decl_51, type, notinemptyset: $o). 0.16/0.52 thf(decl_52, type, exuE3e: $o). 0.16/0.52 thf(decl_53, type, setext: $o). 0.16/0.52 thf(decl_54, type, emptyI: $o). 0.16/0.52 thf(decl_55, type, noeltsimpempty: $o). 0.16/0.52 thf(decl_56, type, setbeta: $o). 0.16/0.52 thf(decl_57, type, nonempty: $i > $o). 0.16/0.52 thf(decl_58, type, nonemptyE1: $o). 0.16/0.52 thf(decl_59, type, nonemptyI: $o). 0.16/0.52 thf(decl_60, type, nonemptyI1: $o). 0.16/0.52 thf(decl_61, type, setadjoinIL: $o). 0.16/0.52 thf(decl_62, type, emptyinunitempty: $o). 0.16/0.52 thf(decl_63, type, setadjoinIR: $o). 0.16/0.52 thf(decl_64, type, setadjoinE: $o). 0.16/0.52 thf(decl_65, type, setadjoinOr: $o). 0.16/0.52 thf(decl_66, type, setoftrueEq: $o). 0.16/0.52 thf(decl_67, type, powersetI: $o). 0.16/0.52 thf(decl_68, type, emptyinPowerset: $o). 0.16/0.52 thf(decl_69, type, emptyInPowerset: $o). 0.16/0.52 thf(decl_70, type, powersetE: $o). 0.16/0.52 thf(decl_71, type, setunionI: $o). 0.16/0.52 thf(decl_72, type, setunionE: $o). 0.16/0.52 thf(decl_73, type, subPowSU: $o). 0.16/0.52 thf(decl_74, type, exuE2: $o). 0.16/0.52 thf(decl_75, type, nonemptyImpWitness: $o). 0.16/0.52 thf(decl_76, type, uniqinunit: $o). 0.16/0.52 thf(decl_77, type, notinsingleton: $o). 0.16/0.52 thf(decl_78, type, eqinunit: $o). 0.16/0.52 thf(decl_79, type, singletonsswitch: $o). 0.16/0.52 thf(decl_80, type, upairsetE: $o). 0.16/0.52 thf(decl_81, type, upairsetIL: $o). 0.16/0.52 thf(decl_82, type, upairsetIR: $o). 0.16/0.52 thf(decl_83, type, emptyE1: $o). 0.16/0.52 thf(decl_84, type, vacuousDall: $o). 0.16/0.52 thf(decl_85, type, quantDeMorgan1: $o). 0.16/0.52 thf(decl_86, type, quantDeMorgan2: $o). 0.16/0.52 thf(decl_87, type, quantDeMorgan3: $o). 0.16/0.52 thf(decl_88, type, quantDeMorgan4: $o). 0.16/0.52 thf(decl_89, type, prop2setI: $o). 0.16/0.52 thf(decl_90, type, set2prop: $i > $o). 0.16/0.52 thf(decl_91, type, prop2set2propI: $o). 0.16/0.52 thf(decl_92, type, notdexE: $o). 0.16/0.52 thf(decl_93, type, notdallE: $o). 0.16/0.52 thf(decl_94, type, exuI1: $o). 0.16/0.52 thf(decl_95, type, exuI3: $o). 0.16/0.52 thf(decl_96, type, exuI2: $o). 0.16/0.52 thf(decl_97, type, inCongP: $o). 0.16/0.52 thf(decl_98, type, in__Cong: $o). 0.16/0.52 thf(decl_99, type, exuE3u: $o). 0.16/0.52 thf(decl_100, type, exu__Cong: $o). 0.16/0.52 thf(decl_101, type, emptyset__Cong: $o). 0.16/0.52 thf(decl_102, type, setadjoin__Cong: $o). 0.16/0.52 thf(decl_103, type, powerset__Cong: $o). 0.16/0.52 thf(decl_104, type, setunion__Cong: $o). 0.16/0.52 thf(decl_105, type, omega__Cong: $o). 0.16/0.52 thf(decl_106, type, exuEu: $o). 0.16/0.52 thf(decl_107, type, descr__Cong: $o). 0.16/0.52 thf(decl_108, type, dsetconstr__Cong: $o). 0.16/0.52 thf(decl_109, type, subset: $i > $i > $o). 0.16/0.52 thf(decl_110, type, disjoint: $i > $i > $o). 0.16/0.52 thf(decl_111, type, setsmeet: $i > $i > $o). 0.16/0.52 thf(decl_112, type, subsetI1: $o). 0.16/0.52 thf(decl_113, type, eqimpsubset2: $o). 0.16/0.52 thf(decl_114, type, eqimpsubset1: $o). 0.16/0.52 thf(decl_115, type, subsetI2: $o). 0.16/0.52 thf(decl_116, type, emptysetsubset: $o). 0.16/0.52 thf(decl_117, type, subsetE: $o). 0.16/0.52 thf(decl_118, type, subsetE2: $o). 0.16/0.52 thf(decl_119, type, notsubsetI: $o). 0.16/0.52 thf(decl_120, type, notequalI1: $o). 0.16/0.52 thf(decl_121, type, notequalI2: $o). 0.16/0.52 thf(decl_122, type, subsetRefl: $o). 0.16/0.52 thf(decl_123, type, subsetTrans: $o). 0.16/0.52 thf(decl_124, type, setadjoinSub: $o). 0.16/0.52 thf(decl_125, type, setadjoinSub2: $o). 0.16/0.52 thf(decl_126, type, subset2powerset: $o). 0.16/0.52 thf(decl_127, type, setextsub: $o). 0.16/0.52 thf(decl_128, type, subsetemptysetimpeq: $o). 0.16/0.52 thf(decl_129, type, powersetI1: $o). 0.16/0.52 thf(decl_130, type, powersetE1: $o). 0.16/0.52 thf(decl_131, type, inPowerset: $o). 0.16/0.52 thf(decl_132, type, powersetsubset: $o). 0.16/0.52 thf(decl_133, type, sepInPowerset: $o). 0.16/0.52 thf(decl_134, type, sepSubset: $o). 0.16/0.52 thf(decl_135, type, binunion: $i > $i > $i). 0.16/0.52 thf(decl_136, type, binunionIL: $o). 0.16/0.52 thf(decl_137, type, upairset2IR: $o). 0.16/0.52 thf(decl_138, type, binunionIR: $o). 0.16/0.52 thf(decl_139, type, binunionEcases: $o). 0.16/0.52 thf(decl_140, type, binunionE: $o). 0.16/0.52 thf(decl_141, type, binunionLsub: $o). 0.16/0.52 thf(decl_142, type, binunionRsub: $o). 0.16/0.52 thf(decl_143, type, binintersect: $i > $i > $i). 0.16/0.52 thf(decl_144, type, binintersectI: $o). 0.16/0.52 thf(decl_145, type, binintersectSubset5: $o). 0.16/0.52 thf(decl_146, type, binintersectEL: $o). 0.16/0.52 thf(decl_147, type, binintersectLsub: $o). 0.16/0.52 thf(decl_148, type, binintersectSubset2: $o). 0.16/0.52 thf(decl_149, type, binintersectSubset3: $o). 0.16/0.52 thf(decl_150, type, binintersectER: $o). 0.16/0.52 thf(decl_151, type, disjointsetsI1: $o). 0.16/0.52 thf(decl_152, type, binintersectRsub: $o). 0.16/0.52 thf(decl_153, type, binintersectSubset4: $o). 0.16/0.52 thf(decl_154, type, binintersectSubset1: $o). 0.16/0.52 thf(decl_155, type, bs114d: $o). 0.16/0.52 thf(decl_156, type, regular: $i > $o). 0.16/0.52 thf(decl_157, type, setminus: $i > $i > $i). 0.16/0.52 thf(decl_158, type, setminusI: $o). 0.16/0.52 thf(decl_159, type, setminusEL: $o). 0.16/0.52 thf(decl_160, type, setminusER: $o). 0.16/0.52 thf(decl_161, type, setminusSubset2: $o). 0.16/0.52 thf(decl_162, type, setminusERneg: $o). 0.16/0.52 thf(decl_163, type, setminusELneg: $o). 0.16/0.52 thf(decl_164, type, setminusILneg: $o). 0.16/0.52 thf(decl_165, type, setminusIRneg: $o). 0.16/0.52 thf(decl_166, type, setminusLsub: $o). 0.16/0.52 thf(decl_167, type, setminusSubset1: $o). 0.16/0.52 thf(decl_168, type, symdiff: $i > $i > $i). 0.16/0.52 thf(decl_169, type, symdiffE: $o). 0.16/0.52 thf(decl_170, type, symdiffI1: $o). 0.16/0.52 thf(decl_171, type, symdiffI2: $o). 0.16/0.52 thf(decl_172, type, symdiffIneg1: $o). 0.16/0.52 thf(decl_173, type, symdiffIneg2: $o). 0.16/0.52 thf(decl_174, type, iskpair: $i > $o). 0.16/0.52 thf(decl_175, type, secondinupair: $o). 0.16/0.52 thf(decl_176, type, setukpairIL: $o). 0.16/0.52 thf(decl_177, type, setukpairIR: $o). 0.16/0.52 thf(decl_178, type, kpairiskpair: $o). 0.16/0.52 thf(decl_179, type, kpair: $i > $i > $i). 0.16/0.52 thf(decl_180, type, kpairp: $o). 0.16/0.52 thf(decl_181, type, cartprod: $i > $i > $i). 0.16/0.52 thf(decl_182, type, singletonsubset: $o). 0.16/0.52 thf(decl_183, type, singletoninpowerset: $o). 0.16/0.52 thf(decl_184, type, singletoninpowunion: $o). 0.16/0.52 thf(decl_185, type, epred1_0: $o). 0.16/0.52 thf(decl_186, type, esk1_2: $i > $i > $i). 0.16/0.52 thf(decl_187, type, esk2_2: $i > $i > $i). 0.16/0.52 thf(decl_188, type, esk3_2: $i > $i > $i). 0.16/0.52 thf(decl_189, type, esk4_1: $i > $i). 0.16/0.52 thf(decl_190, type, esk5_2: ($i > $i > $o) > $i > $i). 0.16/0.52 thf(decl_191, type, esk6_2: ($i > $i > $o) > $i > $i). 0.16/0.52 thf(decl_192, type, esk7_3: ($i > $i > $o) > $i > $i > $i). 0.16/0.52 thf(decl_193, type, esk8_1: $i > $i). 0.16/0.52 thf(decl_194, type, esk9_1: ($i > $o) > $i). 0.16/0.52 thf(decl_195, type, esk10_1: ($i > $o) > $i). 0.16/0.52 thf(decl_196, type, esk11_2: $i > $i > $i). 0.16/0.52 thf(decl_197, type, esk12_2: $i > $i > $i). 0.16/0.52 thf(decl_198, type, esk13_1: $i > $i). 0.16/0.52 thf(decl_199, type, esk14_1: $i > $i). 0.16/0.52 thf(decl_200, type, esk15_1: $i > $i). 0.16/0.52 thf(decl_201, type, esk16_2: $i > $i > $i). 0.16/0.52 thf(decl_202, type, esk17_3: $i > $i > $o > $i). 0.16/0.52 thf(decl_203, type, esk18_1: ($i > $o) > $i). 0.16/0.52 thf(decl_204, type, esk19_1: $i > $i). 0.16/0.52 thf(decl_205, type, esk20_2: $i > ($i > $o) > $i). 0.16/0.52 thf(decl_206, type, esk21_2: $i > ($i > $o) > $i). 0.16/0.52 thf(decl_207, type, esk22_2: $i > ($i > $o) > $i). 0.16/0.52 thf(decl_208, type, esk23_2: $i > ($i > $o) > $i). 0.16/0.52 thf(decl_209, type, esk24_2: $i > ($i > $o) > $i). 0.16/0.52 thf(decl_210, type, esk25_2: $i > ($i > $o) > $i). 0.16/0.52 thf(decl_211, type, esk26_2: ($i > $o) > $i > $i). 0.16/0.52 thf(decl_212, type, esk27_1: ($i > $o) > $i). 0.16/0.52 thf(decl_213, type, esk28_1: ($i > $o) > $i). 0.16/0.52 thf(decl_214, type, esk29_2: ($i > $o) > $i > $i). 0.16/0.52 thf(decl_215, type, esk30_2: ($i > $o) > ($i > $o) > $i). 0.16/0.52 thf(decl_216, type, esk31_2: ($i > $o) > ($i > $o) > $i). 0.16/0.52 thf(decl_217, type, esk32_2: ($i > $o) > ($i > $o) > $i). 0.16/0.52 thf(decl_218, type, esk33_2: ($i > $o) > ($i > $o) > $i). 0.16/0.52 thf(decl_219, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.16/0.52 thf(decl_220, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.16/0.52 thf(decl_221, type, esk36_2: $i > $i > $i). 0.16/0.52 thf(decl_222, type, esk37_2: $i > $i > $i). 0.16/0.52 thf(decl_223, type, esk38_2: $i > $i > $i). 0.16/0.52 thf(decl_224, type, esk39_0: $i). 0.16/0.52 thf(decl_225, type, esk40_0: $i). 0.16/0.52 thf(decl_226, type, esk41_0: $i). 0.16/0.52 thf(decl_227, type, esk42_1: $i > $i). 0.16/0.52 thf(decl_228, type, esk43_3: $i > $i > $i > $i). 0.16/0.52 thf(decl_229, type, esk44_2: $i > $i > $i). 0.16/0.52 thf(decl_230, type, esk45_2: $i > $i > $i). 0.16/0.52 thf(decl_231, type, esk46_2: $i > $i > $i). 0.16/0.52 thf(decl_232, type, epred2_0: $i > $o). 0.16/0.52 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrEL)). 0.16/0.52 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrI)). 0.16/0.52 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setbeta)). 0.16/0.52 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepSubset)). 0.16/0.52 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/sandbox2/benchmark/theBenchmark.p', exuE1)). 0.16/0.52 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstrER)). 0.16/0.52 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', replAx)). 0.16/0.52 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI2)). 0.16/0.52 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sepInPowerset)). 0.16/0.52 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dsetconstr__Cong)). 0.16/0.52 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuEu)). 0.16/0.52 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exu__Cong)). 0.16/0.52 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuI3)). 0.16/0.52 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descr__Cong)). 0.16/0.52 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3u)). 0.16/0.52 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/sandbox2/benchmark/theBenchmark.p', exuI1)). 0.16/0.52 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/sandbox2/benchmark/theBenchmark.p', emptyE1)). 0.16/0.52 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE2)). 0.16/0.52 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setoftrueEq)). 0.16/0.52 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI)). 0.16/0.52 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exuE3e)). 0.16/0.52 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', descrp)). 0.16/0.52 thf(upairset2E, conjecture, ((setextAx)=>(((((((omegaSAx)=>((((foundationAx)=>(((descrp)=>((((((prop2setE)=>((emptysetE)=>((((exuE3e)=>(((emptyI)=>((((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>(((emptyinunitempty)=>(((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((((emptyInPowerset)=>(((setunionI)=>((((exuE2)=>(((uniqinunit)=>(((eqinunit)=>((singletonsswitch)=>(((upairsetIL)=>(((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>(((((notdallE)=>((exuI1)=>(((((in__Cong)=>((exuE3u)=>(((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>(((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>(((subsetE2)=>(((notequalI1)=>((notequalI2)=>((subsetRefl)=>((((((((((inPowerset)=>((((sepSubset)=>((binunionIL)=>((upairset2IR)=>(((binunionEcases)=>((binunionE)=>(((binunionRsub)=>((binintersectI)=>(((binintersectEL)=>(((binintersectSubset2)=>((((disjointsetsI1)=>(((binintersectSubset4)=>(((bs114d)=>((setminusI)=>(((setminusER)=>((setminusSubset2)=>((setminusERneg)=>(((setminusILneg)=>(((((((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>(((setukpairIL)=>(((kpairiskpair)=>((kpairp)=>((((singletoninpowunion)=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3))))))<=(singletoninpowerset))<=(singletonsubset))))<=(setukpairIR)))<=(secondinupair)))))<=(symdiffI1))<=(symdiffE))<=(setminusSubset1))<=(setminusLsub))<=(setminusIRneg)))<=(setminusELneg)))))<=(setminusEL))))<=(binintersectSubset1)))<=(binintersectRsub)))<=(binintersectER))<=(binintersectSubset3)))<=(binintersectLsub)))<=(binintersectSubset5))))<=(binunionLsub))))<=(binunionIR)))))<=(sepInPowerset))<=(powersetsubset)))<=(powersetE1))<=(powersetI1))<=(subsetemptysetimpeq))<=(setextsub))<=(subset2powerset))<=(setadjoinSub2))<=(setadjoinSub))<=(subsetTrans)))))<=(notsubsetI)))<=(subsetE)))))))))<=(exuEu)))))))<=(exu__Cong))))<=(inCongP))<=(exuI2))<=(exuI3))))<=(notdexE))<=(prop2set2propI))<=(prop2setI)))<=(quantDeMorgan3))))))<=(upairsetIR)))<=(upairsetE))))<=(notinsingleton)))<=(nonemptyImpWitness)))<=(subPowSU))<=(setunionE)))<=(powersetE)))<=(emptyinPowerset))<=(powersetI)))))<=(setadjoinIR)))<=(setadjoinIL)))))<=(setbeta))<=(noeltsimpempty)))<=(setext)))<=(notinemptyset))<=(emptysetimpfalse))))<=(exuE1))<=(dsetconstrER))<=(dsetconstrEL))<=(dsetconstrI)))<=(wellorderingAx)))<=(replAx))<=(omegaIndAx)))<=(omega0Ax))<=(setunionAx))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairset2E)). 0.16/0.52 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/sandbox2/benchmark/theBenchmark.p', binunionEcases)). 0.16/0.52 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetAx)). 0.16/0.52 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdexE)). 0.16/0.52 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setI)). 0.16/0.52 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan3)). 0.16/0.52 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetsubset)). 0.16/0.52 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIR)). 0.16/0.52 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetE)). 0.16/0.52 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE2)). 0.16/0.52 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinsingleton)). 0.16/0.52 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyImpWitness)). 0.16/0.52 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI1)). 0.16/0.52 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subPowSU)). 0.16/0.52 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionE)). 0.16/0.52 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notequalI2)). 0.16/0.52 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE)). 0.16/0.52 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinPowerset)). 0.16/0.52 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetRefl)). 0.16/0.52 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI)). 0.16/0.52 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIR)). 0.16/0.52 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inPowerset)). 0.16/0.52 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinIL)). 0.16/0.52 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', noeltsimpempty)). 0.16/0.52 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/sandbox2/benchmark/theBenchmark.p', setext)). 0.16/0.52 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIL)). 0.16/0.52 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notinemptyset)). 0.16/0.52 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetimpfalse)). 0.16/0.52 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairset2IR)). 0.16/0.52 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairiskpair)). 0.16/0.52 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', wellorderingAx)). 0.16/0.52 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionE)). 0.16/0.52 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaIndAx)). 0.16/0.52 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega0Ax)). 0.16/0.52 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionRsub)). 0.16/0.52 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionAx)). 0.16/0.52 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetAx)). 0.16/0.52 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectI)). 0.16/0.52 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinAx)). 0.16/0.52 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectEL)). 0.16/0.52 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset2)). 0.16/0.52 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', disjointsetsI1)). 0.16/0.52 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset4)). 0.16/0.52 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', bs114d)). 0.16/0.52 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusI)). 0.16/0.52 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusER)). 0.16/0.52 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset2)). 0.16/0.52 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusERneg)). 0.16/0.52 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusILneg)). 0.16/0.52 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI2)). 0.16/0.52 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg1)). 0.16/0.52 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffIneg2)). 0.16/0.52 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setukpairIL)). 0.16/0.52 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', inCongP)). 0.16/0.52 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kpairp)). 0.16/0.52 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletoninpowunion)). 0.16/0.52 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletoninpowerset)). 0.16/0.52 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsubset)). 0.16/0.52 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/sandbox2/benchmark/theBenchmark.p', setukpairIR)). 0.16/0.52 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', secondinupair)). 0.16/0.52 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffI1)). 0.16/0.52 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symdiffE)). 0.16/0.52 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusSubset1)). 0.16/0.52 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusLsub)). 0.16/0.52 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusIRneg)). 0.16/0.52 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusELneg)). 0.16/0.52 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setminusEL)). 0.16/0.52 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset1)). 0.16/0.52 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectRsub)). 0.16/0.52 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectER)). 0.16/0.52 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset3)). 0.16/0.52 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectLsub)). 0.16/0.52 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binintersectSubset5)). 0.16/0.52 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionLsub)). 0.16/0.52 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', binunionIR)). 0.16/0.52 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetsubset)). 0.16/0.52 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetE1)). 0.16/0.52 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powersetI1)). 0.16/0.52 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetemptysetimpeq)). 0.16/0.52 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextsub)). 0.16/0.52 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset2powerset)). 0.16/0.52 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub2)). 0.16/0.52 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinSub)). 0.16/0.52 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI1)). 0.16/0.52 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetTrans)). 0.16/0.52 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notsubsetI)). 0.16/0.52 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset2)). 0.16/0.52 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetE)). 0.16/0.52 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqimpsubset1)). 0.16/0.52 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subsetI2)). 0.16/0.52 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omega__Cong)). 0.16/0.52 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunion__Cong)). 0.16/0.52 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', powerset__Cong)). 0.16/0.52 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/sandbox2/benchmark/theBenchmark.p', setadjoin__Cong)). 0.16/0.52 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyset__Cong)). 0.16/0.52 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/sandbox2/benchmark/theBenchmark.p', in__Cong)). 0.16/0.52 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', notdallE)). 0.16/0.52 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan4)). 0.16/0.52 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan2)). 0.16/0.52 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', quantDeMorgan1)). 0.16/0.52 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', vacuousDall)). 0.16/0.52 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', upairsetIL)). 0.16/0.52 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singletonsswitch)). 0.16/0.52 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', eqinunit)). 0.16/0.52 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', uniqinunit)). 0.16/0.52 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setunionI)). 0.16/0.52 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyInPowerset)). 0.16/0.52 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinOr)). 0.16/0.52 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setadjoinE)). 0.16/0.52 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyinunitempty)). 0.16/0.52 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyI1)). 0.16/0.52 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nonemptyE1)). 0.16/0.52 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptyI)). 0.16/0.52 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', emptysetE)). 0.16/0.52 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prop2setE)). 0.16/0.52 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', foundationAx)). 0.16/0.52 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', omegaSAx)). 0.16/0.52 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', setextAx)). 0.16/0.52 thf(c_0_140, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.16/0.52 thf(c_0_141, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.16/0.52 thf(c_0_142, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.16/0.52 thf(c_0_143, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 0.16/0.52 thf(c_0_144, 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])). 0.16/0.52 thf(c_0_145, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.16/0.52 thf(c_0_146, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.16/0.52 thf(c_0_147, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.16/0.52 thf(c_0_148, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 0.16/0.52 thf(c_0_149, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.16/0.52 thf(c_0_150, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.16/0.52 thf(c_0_151, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.16/0.52 thf(c_0_152, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.16/0.52 thf(c_0_153, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.16/0.52 thf(c_0_154, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 0.16/0.52 thf(c_0_155, 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])). 0.16/0.52 thf(c_0_156, 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])). 0.16/0.52 thf(c_0_157, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.16/0.52 thf(c_0_158, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.16/0.52 thf(c_0_159, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.16/0.52 thf(c_0_160, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.16/0.52 thf(c_0_161, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.16/0.52 thf(c_0_162, plain, ((epred1_0)<=>![X726:$i]:(?[X727:$i]:((((![X728:$i]:(((in @ X728 @ X727)=>![X729:$i]:(((in @ X729 @ X728)=>(in @ X729 @ X726)))))&![X730:$i, X731:$i]:((((in @ X730 @ X726)&(in @ X731 @ X726))=>(![X732:$i]:(((in @ X732 @ X727)=>((in @ X730 @ X732)<=>(in @ X731 @ X732))))=>((X730)=(X731))))))&![X733:$i, X734:$i]:((((in @ X733 @ X727)&(in @ X734 @ X727))=>(![X735:$i]:(((in @ X735 @ X733)=>(in @ X735 @ X734)))|![X736:$i]:(((in @ X736 @ X734)=>(in @ X736 @ X733)))))))&![X737:$i]:(((![X738:$i]:(((in @ X738 @ X737)=>(in @ X738 @ X726)))&?[X739:$i]:((in @ X739 @ X737)))=>?[X740:$i, X741:$i]:(((((in @ X740 @ X727)&(in @ X741 @ X737))&~(?[X742:$i]:(((in @ X742 @ X740)&(in @ X742 @ X737)))))&![X743:$i]:(((in @ X743 @ X727)=>(![X744:$i]:(((in @ X744 @ X743)=>(in @ X744 @ X740)))|(in @ X741 @ X743)))))))))))), introduced(definition)). 0.16/0.52 thf(c_0_163, negated_conjecture, ~((![X394:$i, X395:$i]:((![X396:$i]:(((in @ X396 @ X394)<=>(in @ X396 @ X395)))=>((X394)=(X395))))=>(![X763:$i]:(~(in @ X763 @ emptyset))=>(![X760:$i, X761:$i, X762:$i]:(((in @ X762 @ (setadjoin @ X760 @ X761))<=>(((X762)=(X760))|(in @ X762 @ X761))))=>(![X757:$i, X758:$i]:(((in @ X758 @ (powerset @ X757))<=>![X759:$i]:(((in @ X759 @ X758)=>(in @ X759 @ X757)))))=>(![X754:$i, X755:$i]:(((in @ X755 @ (setunion @ X754))<=>?[X756:$i]:(((in @ X755 @ X756)&(in @ X756 @ X754)))))=>((in @ emptyset @ omega)=>(![X397:$i]:(((in @ X397 @ omega)=>(in @ (setadjoin @ X397 @ X397) @ omega)))=>(![X751:$i]:((((in @ emptyset @ X751)&![X752:$i]:((((in @ X752 @ omega)&(in @ X752 @ X751))=>(in @ (setadjoin @ X752 @ X752) @ X751))))=>![X753:$i]:(((in @ X753 @ omega)=>(in @ X753 @ X751)))))=>(![X745:$i > $i > $o, X746:$i]:((![X747:$i]:(((in @ X747 @ X746)=>(exu @ (^[Z0:$i]:((X745 @ X747 @ Z0))))))=>?[X748:$i]:(![X749:$i]:(((in @ X749 @ X748)<=>?[X750:$i]:(((in @ X750 @ X746)&(X745 @ X750 @ X749))))))))=>(![X398:$i]:((?[X399:$i]:((in @ X399 @ X398))=>?[X400:$i]:(((in @ X400 @ X398)&~(?[X401:$i]:(((in @ X401 @ X400)&(in @ X401 @ X398))))))))=>((epred1_0)=>(![X402:$i > $o]:(((exu @ (^[Z0:$i]:((X402 @ Z0))))=>(X402 @ (descr @ (^[Z0:$i]:((X402 @ Z0)))))))=>(![X723:$i, X724:$i > $o, X725:$i]:(((in @ X725 @ X723)=>((X724 @ X725)=>(in @ X725 @ (dsetconstr @ X723 @ (^[Z0:$i]:((X724 @ Z0))))))))=>(![X720:$i, X721:$i > $o, X722:$i]:(((in @ X722 @ (dsetconstr @ X720 @ (^[Z0:$i]:((X721 @ Z0)))))=>(in @ X722 @ X720)))=>(![X717:$i, X718:$i > $o, X719:$i]:(((in @ X719 @ (dsetconstr @ X717 @ (^[Z0:$i]:((X718 @ Z0)))))=>(X718 @ X719)))=>(![X714:$i > $o]:(((exu @ (^[Z0:$i]:((X714 @ Z0))))=>?[X715:$i]:(((X714 @ X715)&![X716:$i]:(((X714 @ X716)=>((X715)=(X716))))))))=>(![X403:$o, X404:$i]:(((in @ X404 @ (prop2set @ ((X403))))=>(X403)))=>(![X405:$i]:(((in @ X405 @ emptyset)=>![X406:$o]:((X406))))=>(![X713:$i]:(~(in @ X713 @ emptyset))=>(![X712:$i]:(~(in @ X712 @ emptyset))=>(![X407:$i > $o]:(((exu @ (^[Z0:$i]:((X407 @ Z0))))=>?[X408:$i]:((X407 @ X408))))=>(![X708:$i, X709:$i]:((![X710:$i]:(((in @ X710 @ X708)=>(in @ X710 @ X709)))=>(![X711:$i]:(((in @ X711 @ X709)=>(in @ X711 @ X708)))=>((X708)=(X709)))))=>(![X409:$i]:((![X410:$i]:(~(in @ X410 @ X409))=>((X409)=(emptyset))))=>(![X706:$i]:((![X707:$i]:(~(in @ X707 @ X706))=>((X706)=(emptyset))))=>(![X703:$i, X704:$i > $o, X705:$i]:(((in @ X705 @ X703)=>((in @ X705 @ (dsetconstr @ X703 @ (^[Z0:$i]:((X704 @ Z0)))))<=>(X704 @ X705))))=>(![X411:$i]:(((nonempty @ X411)=>?[X412:$i]:((in @ X412 @ X411))))=>(![X413:$i, X414:$i > $o, X415:$i]:(((in @ X415 @ X413)=>((X414 @ X415)=>(nonempty @ (dsetconstr @ X413 @ (^[Z0:$i]:((X414 @ Z0))))))))=>(![X416:$i]:((?[X417:$i]:((in @ X417 @ X416))=>(nonempty @ X416)))=>(![X701:$i, X702:$i]:((in @ X701 @ (setadjoin @ X701 @ X702)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X698:$i, X699:$i, X700:$i]:(((in @ X700 @ X699)=>(in @ X700 @ (setadjoin @ X698 @ X699))))=>(![X418:$i, X419:$i, X420:$i]:(((in @ X420 @ (setadjoin @ X418 @ X419))=>![X421:$o]:(((((X420)=(X418))=>(X421))=>(((in @ X420 @ X419)=>(X421))=>(X421))))))=>(![X422:$i, X423:$i, X424:$i]:(((in @ X424 @ (setadjoin @ X422 @ X423))=>(((X424)=(X422))|(in @ X424 @ X423))))=>(![X425:$i]:(((dsetconstr @ X425 @ (^[Z0:$i]:(($true))))=(X425)))=>(![X695:$i, X696:$i]:((![X697:$i]:(((in @ X697 @ X696)=>(in @ X697 @ X695)))=>(in @ X696 @ (powerset @ X695))))=>(![X694:$i]:((in @ emptyset @ (powerset @ X694)))=>(![X426:$i]:((in @ emptyset @ (powerset @ X426)))=>(![X691:$i, X692:$i, X693:$i]:(((in @ X692 @ (powerset @ X691))=>((in @ X693 @ X692)=>(in @ X693 @ X691))))=>(![X427:$i, X428:$i, X429:$i]:(((in @ X428 @ X429)=>((in @ X429 @ X427)=>(in @ X428 @ (setunion @ X427)))))=>(![X687:$i, X688:$i]:(((in @ X688 @ (setunion @ X687))=>![X689:$o]:((![X690:$i]:(((in @ X688 @ X690)=>((in @ X690 @ X687)=>(X689))))=>(X689)))))=>(![X685:$i, X686:$i]:(((in @ X686 @ X685)=>(in @ X686 @ (powerset @ (setunion @ X685)))))=>(![X430:$i > $o]:(((exu @ (^[Z0:$i]:((X430 @ Z0))))=>?[X431:$i]:(![X432:$i]:(((X430 @ X432)<=>((X432)=(X431)))))))=>(![X683:$i]:(((nonempty @ X683)=>?[X684:$i]:((in @ X684 @ X683))))=>(![X433:$i, X434:$i]:(((in @ X433 @ (setadjoin @ X434 @ emptyset))=>((X433)=(X434))))=>(![X681:$i, X682:$i]:((((X681)!=(X682))=>~(in @ X682 @ (setadjoin @ X681 @ emptyset))))=>(![X435:$i, X436:$i]:((((X435)=(X436))=>(in @ X435 @ (setadjoin @ X436 @ emptyset))))=>(![X437:$i, X438:$i]:(((in @ X437 @ (setadjoin @ X438 @ emptyset))=>(in @ X438 @ (setadjoin @ X437 @ emptyset))))=>(![X678:$i, X679:$i, X680:$i]:(((in @ X680 @ (setadjoin @ X678 @ (setadjoin @ X679 @ emptyset)))=>(((X680)=(X678))|((X680)=(X679)))))=>(![X439:$i, X440:$i]:((in @ X439 @ (setadjoin @ X439 @ (setadjoin @ X440 @ emptyset))))=>(![X676:$i, X677:$i]:((in @ X677 @ (setadjoin @ X676 @ (setadjoin @ X677 @ emptyset))))=>(![X441:$i, X442:$i > $o]:((?[X443:$i]:(((in @ X443 @ X441)&(X442 @ X443)))=>((dsetconstr @ X441 @ (^[Z0:$i]:((X442 @ Z0))))!=(emptyset))))=>(![X444:$i > $o, X445:$i]:(((in @ X445 @ emptyset)=>(X444 @ X445)))=>(![X446:$i, X447:$i > $o]:((~(![X448:$i]:(((in @ X448 @ X446)=>(X447 @ X448))))=>?[X449:$i]:(((in @ X449 @ X446)&~(X447 @ X449)))))=>(![X450:$i, X451:$i > $o]:((![X452:$i]:(((in @ X452 @ X450)=>~(X451 @ X452)))=>~(?[X453:$i]:(((in @ X453 @ X450)&(X451 @ X453))))))=>(![X672:$i, X673:$i > $o]:((~(?[X674:$i]:(((in @ X674 @ X672)&(X673 @ X674))))=>![X675:$i]:(((in @ X675 @ X672)=>~(X673 @ X675)))))=>(![X454:$i, X455:$i > $o]:((?[X456:$i]:(((in @ X456 @ X454)&~(X455 @ X456)))=>~(![X457:$i]:(((in @ X457 @ X454)=>(X455 @ X457))))))=>(![X671:$o]:(((X671)=>(in @ emptyset @ (prop2set @ ((X671))))))=>((prop2set2propI)=>(![X667:$i, X668:$i > $o]:((~(?[X669:$i]:(((in @ X669 @ X667)&(X668 @ X669))))=>![X670:$i]:(((in @ X670 @ X667)=>~(X668 @ X670)))))=>(![X458:$i, X459:$i > $o]:((~(![X460:$i]:(((in @ X460 @ X458)=>(X459 @ X460))))=>?[X461:$i]:(((in @ X461 @ X458)&~(X459 @ X461)))))=>(![X462:$i > $o]:((?[X463:$i]:(((X462 @ X463)&![X464:$i]:(((X462 @ X464)=>((X463)=(X464))))))=>(exu @ (^[Z0:$i]:((X462 @ Z0))))))=>(![X663:$i > $o]:((?[X664:$i]:((X663 @ X664))=>(![X665:$i, X666:$i]:(((X663 @ X665)=>((X663 @ X666)=>((X665)=(X666)))))=>(exu @ (^[Z0:$i]:((X663 @ Z0)))))))=>(![X660:$i > $o]:((?[X661:$i]:(![X662:$i]:(((X660 @ X662)<=>((X662)=(X661)))))=>(exu @ (^[Z0:$i]:((X660 @ Z0))))))=>(![X656:$i, X657:$i]:((((X656)=(X657))=>![X658:$i, X659:$i]:((((X658)=(X659))=>((in @ X658 @ X656)=>(in @ X659 @ X657))))))=>(![X465:$i, X466:$i]:((((X465)=(X466))=>![X467:$i, X468:$i]:((((X467)=(X468))=>((in @ X467 @ X465)<=>(in @ X468 @ X466))))))=>(![X469:$i > $o]:(((exu @ (^[Z0:$i]:((X469 @ Z0))))=>![X470:$i, X471:$i]:(((X469 @ X470)=>((X469 @ X471)=>((X470)=(X471)))))))=>(![X652:$i > $o, X653:$i > $o]:((![X654:$i, X655:$i]:((((X654)=(X655))=>((X652 @ X654)<=>(X653 @ X655))))=>((exu @ (^[Z0:$i]:((X652 @ Z0))))<=>(exu @ (^[Z0:$i]:((X653 @ Z0)))))))=>(((emptyset)=(emptyset))=>(![X472:$i, X473:$i]:((((X472)=(X473))=>![X474:$i, X475:$i]:((((X474)=(X475))=>((setadjoin @ X472 @ X474)=(setadjoin @ X473 @ X475))))))=>(![X476:$i, X477:$i]:((((X476)=(X477))=>((powerset @ X476)=(powerset @ X477))))=>(![X478:$i, X479:$i]:((((X478)=(X479))=>((setunion @ X478)=(setunion @ X479))))=>(((omega)=(omega))=>(![X649:$i > $o]:(((exu @ (^[Z0:$i]:((X649 @ Z0))))=>![X650:$i, X651:$i]:(((X649 @ X650)=>((X649 @ X651)=>((X650)=(X651)))))))=>(![X480:$i > $o, X481:$i > $o]:((![X482:$i, X483:$i]:((((X482)=(X483))=>((X480 @ X482)<=>(X481 @ X483))))=>((exu @ (^[Z0:$i]:((X480 @ Z0))))=>((exu @ (^[Z0:$i]:((X481 @ Z0))))=>((descr @ (^[Z0:$i]:((X480 @ Z0))))=(descr @ (^[Z0:$i]:((X481 @ Z0)))))))))=>(![X484:$i, X485:$i]:((((X484)=(X485))=>![X486:$i > $o, X487:$i > $o]:((![X488:$i]:(((in @ X488 @ X484)=>![X489:$i]:(((in @ X489 @ X485)=>(((X488)=(X489))=>((X486 @ X488)<=>(X487 @ X489)))))))=>((dsetconstr @ X484 @ (^[Z0:$i]:((X486 @ Z0))))=(dsetconstr @ X485 @ (^[Z0:$i]:((X487 @ Z0)))))))))=>(![X490:$i, X491:$i]:((![X492:$i]:(((in @ X492 @ X490)=>(in @ X492 @ X491)))=>(subset @ X490 @ X491)))=>(![X493:$i, X494:$i]:((((X493)=(X494))=>(subset @ X494 @ X493)))=>(![X495:$i, X496:$i]:((((X495)=(X496))=>(subset @ X495 @ X496)))=>(![X497:$i, X498:$i]:((![X499:$i]:(((in @ X499 @ X497)=>(in @ X499 @ X498)))=>(subset @ X497 @ X498)))=>(![X500:$i]:((subset @ emptyset @ X500))=>(![X646:$i, X647:$i, X648:$i]:(((subset @ X646 @ X647)=>((in @ X648 @ X646)=>(in @ X648 @ X647))))=>(![X501:$i, X502:$i, X503:$i]:(((subset @ X501 @ X502)=>(~(in @ X503 @ X502)=>~(in @ X503 @ X501))))=>(![X643:$i, X644:$i, X645:$i]:(((in @ X645 @ X643)=>(~(in @ X645 @ X644)=>~(subset @ X643 @ X644))))=>(![X504:$i, X505:$i]:((~(subset @ X504 @ X505)=>((X504)!=(X505))))=>(![X506:$i, X507:$i, X508:$i]:(((in @ X508 @ X506)=>(~(in @ X508 @ X507)=>((X506)!=(X507)))))=>(![X509:$i]:((subset @ X509 @ X509))=>(![X640:$i, X641:$i, X642:$i]:(((subset @ X640 @ X641)=>((subset @ X641 @ X642)=>(subset @ X640 @ X642))))=>(![X638:$i, X639:$i]:((subset @ X639 @ (setadjoin @ X638 @ X639)))=>(![X635:$i, X636:$i, X637:$i]:(((subset @ X635 @ X637)=>(subset @ X635 @ (setadjoin @ X636 @ X637))))=>(![X633:$i, X634:$i]:(((subset @ X633 @ X634)=>(in @ X633 @ (powerset @ X634))))=>(![X631:$i, X632:$i]:(((subset @ X631 @ X632)=>((subset @ X632 @ X631)=>((X631)=(X632)))))=>(![X630:$i]:(((subset @ X630 @ emptyset)=>((X630)=(emptyset))))=>(![X628:$i, X629:$i]:(((subset @ X629 @ X628)=>(in @ X629 @ (powerset @ X628))))=>(![X626:$i, X627:$i]:(((in @ X627 @ (powerset @ X626))=>(subset @ X627 @ X626)))=>(![X510:$i]:((in @ X510 @ (powerset @ X510)))=>(![X624:$i, X625:$i]:(((subset @ X624 @ X625)=>(subset @ (powerset @ X624) @ (powerset @ X625))))=>(![X622:$i, X623:$i > $o]:((in @ (dsetconstr @ X622 @ (^[Z0:$i]:((X623 @ Z0)))) @ (powerset @ X622)))=>(![X511:$i, X512:$i > $o]:((subset @ (dsetconstr @ X511 @ (^[Z0:$i]:((X512 @ Z0)))) @ X511))=>(![X513:$i, X514:$i, X515:$i]:(((in @ X515 @ X513)=>(in @ X515 @ (binunion @ X513 @ X514))))=>(![X516:$i, X517:$i]:((in @ X517 @ (setadjoin @ X516 @ (setadjoin @ X517 @ emptyset))))=>(![X619:$i, X620:$i, X621:$i]:(((in @ X621 @ X620)=>(in @ X621 @ (binunion @ X619 @ X620))))=>(![X518:$i, X519:$i, X520:$i, X521:$o]:(((in @ X520 @ (binunion @ X518 @ X519))=>(((in @ X520 @ X518)=>(X521))=>(((in @ X520 @ X519)=>(X521))=>(X521)))))=>(![X522:$i, X523:$i, X524:$i]:(((in @ X524 @ (binunion @ X522 @ X523))=>((in @ X524 @ X522)|(in @ X524 @ X523))))=>(![X617:$i, X618:$i]:((subset @ X617 @ (binunion @ X617 @ X618)))=>(![X525:$i, X526:$i]:((subset @ X526 @ (binunion @ X525 @ X526)))=>(![X527:$i, X528:$i, X529:$i]:(((in @ X529 @ X527)=>((in @ X529 @ X528)=>(in @ X529 @ (binintersect @ X527 @ X528)))))=>(![X614:$i, X615:$i, X616:$i]:(((subset @ X616 @ X614)=>((subset @ X616 @ X615)=>(subset @ X616 @ (binintersect @ X614 @ X615)))))=>(![X530:$i, X531:$i, X532:$i]:(((in @ X532 @ (binintersect @ X530 @ X531))=>(in @ X532 @ X530)))=>(![X612:$i, X613:$i]:((subset @ (binintersect @ X612 @ X613) @ X612))=>(![X533:$i, X534:$i]:(((subset @ X533 @ X534)=>((binintersect @ X533 @ X534)=(X533))))=>(![X610:$i, X611:$i]:((((binintersect @ X610 @ X611)=(X611))=>(subset @ X611 @ X610)))=>(![X607:$i, X608:$i, X609:$i]:(((in @ X609 @ (binintersect @ X607 @ X608))=>(in @ X609 @ X608)))=>(![X535:$i, X536:$i]:((~(?[X537:$i]:(((in @ X537 @ X535)&(in @ X537 @ X536))))=>((binintersect @ X535 @ X536)=(emptyset))))=>(![X605:$i, X606:$i]:((subset @ (binintersect @ X605 @ X606) @ X606))=>(![X538:$i, X539:$i]:(((subset @ X539 @ X538)=>((binintersect @ X538 @ X539)=(X539))))=>(![X603:$i, X604:$i]:((((binintersect @ X603 @ X604)=(X603))=>(subset @ X603 @ X604)))=>(![X540:$i, X541:$i, X542:$i]:(((binintersect @ X540 @ (binunion @ X541 @ X542))=(binunion @ (binintersect @ X540 @ X541) @ (binintersect @ X540 @ X542))))=>(![X543:$i, X544:$i, X545:$i]:(((in @ X545 @ X543)=>(~(in @ X545 @ X544)=>(in @ X545 @ (setminus @ X543 @ X544)))))=>(![X600:$i, X601:$i, X602:$i]:(((in @ X602 @ (setminus @ X600 @ X601))=>(in @ X602 @ X600)))=>(![X546:$i, X547:$i, X548:$i]:(((in @ X548 @ (setminus @ X546 @ X547))=>~(in @ X548 @ X547)))=>(![X549:$i, X550:$i]:(((subset @ X549 @ X550)=>((setminus @ X549 @ X550)=(emptyset))))=>(![X551:$i, X552:$i, X553:$i]:((~(in @ X553 @ (setminus @ X551 @ X552))=>((in @ X553 @ X551)=>(in @ X553 @ X552))))=>(![X597:$i, X598:$i, X599:$i]:((~(in @ X599 @ (setminus @ X597 @ X598))=>(~(in @ X599 @ X598)=>~(in @ X599 @ X597))))=>(![X554:$i, X555:$i, X556:$i]:((~(in @ X556 @ X554)=>~(in @ X556 @ (setminus @ X554 @ X555))))=>(![X594:$i, X595:$i, X596:$i]:(((in @ X596 @ X595)=>~(in @ X596 @ (setminus @ X594 @ X595))))=>(![X592:$i, X593:$i]:((subset @ (setminus @ X592 @ X593) @ X592))=>(![X590:$i, X591:$i]:((((setminus @ X590 @ X591)=(emptyset))=>(subset @ X590 @ X591)))=>(![X586:$i, X587:$i, X588:$i]:(((in @ X588 @ (symdiff @ X586 @ X587))=>![X589:$o]:((((in @ X588 @ X586)=>(~(in @ X588 @ X587)=>(X589)))=>((~(in @ X588 @ X586)=>((in @ X588 @ X587)=>(X589)))=>(X589))))))=>(![X583:$i, X584:$i, X585:$i]:(((in @ X585 @ X583)=>(~(in @ X585 @ X584)=>(in @ X585 @ (symdiff @ X583 @ X584)))))=>(![X557:$i, X558:$i, X559:$i]:((~(in @ X559 @ X557)=>((in @ X559 @ X558)=>(in @ X559 @ (symdiff @ X557 @ X558)))))=>(![X560:$i, X561:$i, X562:$i]:(((in @ X562 @ X560)=>((in @ X562 @ X561)=>~(in @ X562 @ (symdiff @ X560 @ X561)))))=>(![X563:$i, X564:$i, X565:$i]:((~(in @ X565 @ X563)=>(~(in @ X565 @ X564)=>~(in @ X565 @ (symdiff @ X563 @ X564)))))=>(![X581:$i, X582:$i]:((in @ X582 @ (setadjoin @ X581 @ (setadjoin @ X582 @ emptyset))))=>(![X566:$i, X567:$i]:((in @ X566 @ (setunion @ (setadjoin @ (setadjoin @ X566 @ emptyset) @ (setadjoin @ (setadjoin @ X566 @ (setadjoin @ X567 @ emptyset)) @ emptyset)))))=>(![X579:$i, X580:$i]:((in @ X580 @ (setunion @ (setadjoin @ (setadjoin @ X579 @ emptyset) @ (setadjoin @ (setadjoin @ X579 @ (setadjoin @ X580 @ emptyset)) @ emptyset)))))=>(![X568:$i, X569:$i]:((iskpair @ (setadjoin @ (setadjoin @ X568 @ emptyset) @ (setadjoin @ (setadjoin @ X568 @ (setadjoin @ X569 @ emptyset)) @ emptyset))))=>(![X570:$i, X571:$i]:((iskpair @ (kpair @ X570 @ X571)))=>(![X577:$i, X578:$i]:(((in @ X578 @ X577)=>(subset @ (setadjoin @ X578 @ emptyset) @ X577)))=>(![X575:$i, X576:$i]:(((in @ X576 @ X575)=>(in @ (setadjoin @ X576 @ emptyset) @ (powerset @ X575))))=>(![X572:$i, X573:$i, X574:$i]:(((in @ X574 @ X572)=>(in @ (setadjoin @ X574 @ emptyset) @ (powerset @ (binunion @ X572 @ X573)))))=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[upairset2E]), binunionEcases]), c_0_140]), c_0_141]), emptysetAx]), notdexE]), prop2setI]), quantDeMorgan3]), emptysetsubset]), upairsetIR]), upairsetE]), subsetE2]), notinsingleton]), nonemptyImpWitness]), notequalI1]), subPowSU]), setunionE]), notequalI2]), powersetE]), emptyinPowerset]), subsetRefl]), powersetI]), setadjoinIR]), inPowerset]), setadjoinIL]), c_0_142]), c_0_143]), noeltsimpempty]), setext]), binunionIL]), notinemptyset]), emptysetimpfalse]), c_0_144]), upairset2IR]), c_0_145]), kpairiskpair]), wellorderingAx]), c_0_146]), binunionE]), omegaIndAx]), omega0Ax]), binunionRsub]), setunionAx]), powersetAx]), binintersectI]), setadjoinAx]), binintersectEL]), binintersectSubset2]), disjointsetsI1]), binintersectSubset4]), bs114d]), setminusI]), setminusER]), setminusSubset2]), setminusERneg]), setminusILneg]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), setukpairIL]), inCongP]), c_0_147]), kpairp]), singletoninpowunion]), singletoninpowerset]), singletonsubset]), setukpairIR]), secondinupair]), symdiffI1]), symdiffE]), setminusSubset1]), setminusLsub]), setminusIRneg]), setminusELneg]), setminusEL]), binintersectSubset1]), binintersectRsub]), binintersectER]), binintersectSubset3]), binintersectLsub]), binintersectSubset5]), binunionLsub]), binunionIR]), c_0_148]), powersetsubset]), powersetE1]), powersetI1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub2]), c_0_149]), setadjoinSub]), subsetI1]), subsetTrans]), notsubsetI]), eqimpsubset2]), subsetE]), c_0_150]), c_0_151]), c_0_152]), eqimpsubset1]), subsetI2]), c_0_153]), omega__Cong]), setunion__Cong]), powerset__Cong]), setadjoin__Cong]), emptyset__Cong]), c_0_154]), in__Cong]), c_0_155]), notdallE]), quantDeMorgan4]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_156]), upairsetIL]), singletonsswitch]), eqinunit]), uniqinunit]), c_0_157]), setunionI]), emptyInPowerset]), c_0_158]), setadjoinOr]), setadjoinE]), emptyinunitempty]), nonemptyI1]), c_0_159]), nonemptyE1]), emptyI]), c_0_160]), emptysetE]), prop2setE]), c_0_161]), foundationAx]), omegaSAx]), setextAx])]), c_0_162])). 0.16/0.52 thf(c_0_164, negated_conjecture, ![X764:$i, X765:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X777:$i, X778:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X786:$i, X787:$i > $i > $o, X788:$i, X791:$i, X793:$i, X794:$i, X795:$i, X796:$i, X798:$i, X799:$i > $o, X800:$i, X801:$i > $o, X802:$i, X803:$i, X804:$i > $o, X805:$i, X806:$i, X807:$i > $o, X808:$i, X809:$i > $o, X811:$i, X812:$o, X813:$i, X814:$i, X815:$o, X816:$i, X817:$i, X818:$i > $o, X820:$i, X821:$i, X824:$i, X826:$i, X828:$i, X829:$i > $o, X830:$i, X831:$i, X833:$i, X834:$i > $o, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$o, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$o, X866:$i, X867:$i, X868:$i > $o, X870:$i, X871:$i, X872:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i > $o, X891:$i, X892:$i > $o, X893:$i, X894:$i, X895:$i > $o, X896:$i, X898:$i, X899:$i > $o, X901:$i, X902:$i, X903:$i > $o, X905:$i, X906:$i, X907:$i > $o, X908:$i, X910:$o, X911:$i, X912:$i > $o, X914:$i, X915:$i, X916:$i > $o, X917:$i, X919:$i > $o, X920:$i, X922:$i > $o, X923:$i, X926:$i > $o, X927:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i > $o, X938:$i, X939:$i, X940:$i > $o, X941:$i > $o, X944:$i, X945:$i, X946:$i, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i > $o, X953:$i, X954:$i, X955:$i > $o, X956:$i > $o, X959:$i, X960:$i, X961:$i > $o, X962:$i > $o, X965:$i, X966:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, 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X1024)))))&((~(in @ X1029 @ (binunion @ X1027 @ X1028))|((in @ X1029 @ X1027)|(in @ X1029 @ X1028)))&((subset @ X1030 @ (binunion @ X1030 @ X1031))&((subset @ X1033 @ (binunion @ X1032 @ X1033))&((~(in @ X1036 @ X1034)|(~(in @ X1036 @ X1035)|(in @ X1036 @ (binintersect @ X1034 @ X1035))))&((~(subset @ X1039 @ X1037)|(~(subset @ X1039 @ X1038)|(subset @ X1039 @ (binintersect @ X1037 @ X1038))))&((~(in @ X1042 @ (binintersect @ X1040 @ X1041))|(in @ X1042 @ X1040))&((subset @ (binintersect @ X1043 @ X1044) @ X1043)&((~(subset @ X1045 @ X1046)|((binintersect @ X1045 @ X1046)=(X1045)))&((((binintersect @ X1047 @ X1048)!=(X1048))|(subset @ X1048 @ X1047))&((~(in @ X1051 @ (binintersect @ X1049 @ X1050))|(in @ X1051 @ X1050))&((((in @ (esk38_2 @ X1052 @ X1053) @ X1052)|((binintersect @ X1052 @ X1053)=(emptyset)))&((in @ (esk38_2 @ X1052 @ X1053) @ X1053)|((binintersect @ X1052 @ X1053)=(emptyset))))&((subset @ (binintersect @ X1055 @ X1056) @ X1056)&((~(subset @ X1058 @ X1057)|((binintersect @ X1057 @ X1058)=(X1058)))&((((binintersect @ X1059 @ X1060)!=(X1059))|(subset @ X1059 @ X1060))&(((binintersect @ X1061 @ (binunion @ X1062 @ X1063))=(binunion @ (binintersect @ X1061 @ X1062) @ (binintersect @ X1061 @ X1063)))&((~(in @ X1066 @ X1064)|((in @ X1066 @ X1065)|(in @ X1066 @ (setminus @ X1064 @ X1065))))&((~(in @ X1069 @ (setminus @ X1067 @ X1068))|(in @ X1069 @ X1067))&((~(in @ X1072 @ (setminus @ X1070 @ X1071))|~(in @ X1072 @ X1071))&((~(subset @ X1073 @ X1074)|((setminus @ X1073 @ X1074)=(emptyset)))&(((in @ X1077 @ (setminus @ X1075 @ X1076))|(~(in @ X1077 @ X1075)|(in @ X1077 @ X1076)))&(((in @ X1080 @ (setminus @ X1078 @ X1079))|((in @ X1080 @ X1079)|~(in @ X1080 @ X1078)))&(((in @ X1083 @ X1081)|~(in @ X1083 @ (setminus @ X1081 @ X1082)))&((~(in @ X1086 @ X1085)|~(in @ X1086 @ (setminus @ X1084 @ X1085)))&((subset @ (setminus @ X1087 @ X1088) @ X1087)&((((setminus @ X1089 @ X1090)!=(emptyset))|(subset @ X1089 @ X1090))&((((~(in @ X1093 @ X1091)|(X1094)|(in @ X1093 @ X1091)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(((in @ X1093 @ X1092)|(X1094)|(in @ X1093 @ X1091)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(~(X1094)|(X1094)|(in @ X1093 @ X1091)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))))&(((~(in @ X1093 @ X1091)|(X1094)|~(in @ X1093 @ X1092)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(((in @ X1093 @ X1092)|(X1094)|~(in @ X1093 @ X1092)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(~(X1094)|(X1094)|~(in @ X1093 @ X1092)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))))&((~(in @ X1093 @ X1091)|(X1094)|~(X1094)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(((in @ X1093 @ X1092)|(X1094)|~(X1094)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(~(X1094)|(X1094)|~(X1094)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))))))&((~(in @ X1097 @ X1095)|((in @ X1097 @ X1096)|(in @ X1097 @ (symdiff @ X1095 @ X1096))))&(((in @ X1100 @ X1098)|(~(in @ X1100 @ X1099)|(in @ X1100 @ (symdiff @ X1098 @ X1099))))&((~(in @ X1103 @ X1101)|(~(in @ X1103 @ X1102)|~(in @ X1103 @ (symdiff @ X1101 @ X1102))))&(((in @ X1106 @ X1104)|((in @ X1106 @ X1105)|~(in @ X1106 @ (symdiff @ X1104 @ X1105))))&((in @ X1108 @ (setadjoin @ X1107 @ (setadjoin @ X1108 @ emptyset)))&((in @ X1109 @ (setunion @ (setadjoin @ (setadjoin @ X1109 @ emptyset) @ (setadjoin @ (setadjoin @ X1109 @ (setadjoin @ X1110 @ emptyset)) @ emptyset))))&((in @ X1112 @ (setunion @ (setadjoin @ (setadjoin @ X1111 @ emptyset) @ (setadjoin @ (setadjoin @ X1111 @ (setadjoin @ X1112 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1113 @ emptyset) @ (setadjoin @ (setadjoin @ X1113 @ (setadjoin @ X1114 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1115 @ X1116))&((~(in @ X1118 @ X1117)|(subset @ (setadjoin @ X1118 @ emptyset) @ X1117))&((~(in @ X1120 @ X1119)|(in @ (setadjoin @ X1120 @ emptyset) @ (powerset @ X1119)))&((~(in @ X1123 @ X1121)|(in @ (setadjoin @ X1123 @ emptyset) @ (powerset @ (binunion @ X1121 @ X1122))))&((in @ esk41_0 @ (setadjoin @ esk39_0 @ (setadjoin @ esk40_0 @ emptyset)))&(((esk41_0)!=(esk39_0))&((esk41_0)!=(esk40_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[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_163])])])])])])). 0.16/0.52 thf(c_0_165, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((((X2)=(X3))|((X2)=(X4))|~((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)))))), inference(split_conjunct,[status(thm)],[c_0_164])). 0.16/0.52 thf(c_0_166, negated_conjecture, (in @ esk41_0 @ (setadjoin @ esk39_0 @ (setadjoin @ esk40_0 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_164])). 0.16/0.52 thf(c_0_167, negated_conjecture, ((esk41_0)!=(esk40_0)), inference(split_conjunct,[status(thm)],[c_0_164])). 0.16/0.52 thf(c_0_168, negated_conjecture, ((esk41_0)!=(esk39_0)), inference(split_conjunct,[status(thm)],[c_0_164])). 0.16/0.52 thf(c_0_169, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165, c_0_166]), c_0_167]), c_0_168]), ['proof']). 0.16/0.52 # SZS output end CNFRefutation 0.16/0.52 # Parsed axioms : 309 0.16/0.52 # Removed by relevancy pruning/SinE : 169 0.16/0.52 # Initial clauses : 220 0.16/0.52 # Removed in clause preprocessing : 23 0.16/0.52 # Initial clauses in saturation : 197 0.16/0.52 # Processed clauses : 355 0.16/0.52 # ...of these trivial : 6 0.16/0.52 # ...subsumed : 41 0.16/0.52 # ...remaining for further processing : 308 0.16/0.52 # Other redundant clauses eliminated : 16 0.16/0.52 # Clauses deleted for lack of memory : 0 0.16/0.52 # Backward-subsumed : 0 0.16/0.52 # Backward-rewritten : 6 0.16/0.52 # Generated clauses : 712 0.16/0.52 # ...of the previous two non-redundant : 598 0.16/0.52 # ...aggressively subsumed : 0 0.16/0.52 # Contextual simplify-reflections : 0 0.16/0.52 # Paramodulations : 696 0.16/0.52 # Factorizations : 0 0.16/0.52 # NegExts : 0 0.16/0.52 # Equation resolutions : 16 0.16/0.52 # Propositional unsat checks : 0 0.16/0.52 # Propositional check models : 0 0.16/0.52 # Propositional check unsatisfiable : 0 0.16/0.52 # Propositional clauses : 0 0.16/0.52 # Propositional clauses after purity: 0 0.16/0.52 # Propositional unsat core size : 0 0.16/0.52 # Propositional preprocessing time : 0.000 0.16/0.52 # Propositional encoding time : 0.000 0.16/0.52 # Propositional solver time : 0.000 0.16/0.52 # Success case prop preproc time : 0.000 0.16/0.52 # Success case prop encoding time : 0.000 0.16/0.52 # Success case prop solver time : 0.000 0.16/0.52 # Current number of processed clauses : 127 0.16/0.52 # Positive orientable unit clauses : 43 0.16/0.52 # Positive unorientable unit clauses: 0 0.16/0.52 # Negative unit clauses : 4 0.16/0.52 # Non-unit-clauses : 80 0.16/0.52 # Current number of unprocessed clauses: 599 0.16/0.52 # ...number of literals in the above : 1452 0.16/0.52 # Current number of archived formulas : 0 0.16/0.52 # Current number of archived clauses : 170 0.16/0.52 # Clause-clause subsumption calls (NU) : 3084 0.16/0.52 # Rec. Clause-clause subsumption calls : 1565 0.16/0.52 # Non-unit clause-clause subsumptions : 25 0.16/0.52 # Unit Clause-clause subsumption calls : 37 0.16/0.52 # Rewrite failures with RHS unbound : 0 0.16/0.52 # BW rewrite match attempts : 21 0.16/0.52 # BW rewrite match successes : 4 0.16/0.52 # Condensation attempts : 355 0.16/0.52 # Condensation successes : 4 0.16/0.52 # Termbank termtop insertions : 38525 0.16/0.52 0.16/0.52 # ------------------------------------------------- 0.16/0.52 # User time : 0.046 s 0.16/0.52 # System time : 0.011 s 0.16/0.52 # Total time : 0.057 s 0.16/0.52 # Maximum resident set size: 4768 pages 0.16/0.52 0.16/0.52 # ------------------------------------------------- 0.16/0.52 # User time : 0.053 s 0.16/0.52 # System time : 0.013 s 0.16/0.52 # Total time : 0.066 s 0.16/0.52 # Maximum resident set size: 2072 pages 0.16/0.52 EOF