0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_E %s %d THM 0.10/0.32 % Computer : n018.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 : 1440 0.10/0.32 % WCLimit : 180 0.10/0.32 % DateTime : Thu Jul 4 04:33:38 EDT 2024 0.10/0.32 % CPUTime : 0.16/0.44 Running higher-order theorem proving 0.16/0.47 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p 0.57/180.04 # Version: 3.2.0-ho 0.57/180.04 # Preprocessing class: HSLMSLSSLLLCHFA. 0.57/180.04 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.57/180.04 # Starting ehoh_best5 with 180s (1) cores 0.57/180.04 # Starting almost_fo_3_lam with 180s (1) cores 0.57/180.04 # Starting new_bool_5 with 180s (1) cores 0.57/180.04 # Starting pre_casc_3 with 180s (1) cores 0.57/180.04 # Starting ho_unfolding_8 with 180s (1) cores 0.57/180.04 # Starting new_ho_10_cnf2 with 180s (1) cores 0.57/180.04 # Starting new_bool_3 with 180s (1) cores 0.57/180.04 # Starting new_ho_5 with 180s (1) cores 0.57/180.04 # pre_casc_3 with pid 4565 completed with status 0 0.57/180.04 # Result found by pre_casc_3 0.57/180.04 # Preprocessing class: HSLMSLSSLLLCHFA. 0.57/180.04 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.57/180.04 # Starting ehoh_best5 with 180s (1) cores 0.57/180.04 # Starting almost_fo_3_lam with 180s (1) cores 0.57/180.04 # Starting new_bool_5 with 180s (1) cores 0.57/180.04 # Starting pre_casc_3 with 180s (1) cores 0.57/180.04 # SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true) 0.57/180.04 # Search class: HGHSM-FSLS31-SHFMMSBN 0.57/180.04 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.57/180.04 # Starting sh3 with 98s (1) cores 0.57/180.04 # sh3 with pid 4570 completed with status 0 0.57/180.04 # Result found by sh3 0.57/180.04 # Preprocessing class: HSLMSLSSLLLCHFA. 0.57/180.04 # Scheduled 8 strats onto 8 cores with 180 seconds (1440 total) 0.57/180.04 # Starting ehoh_best5 with 180s (1) cores 0.57/180.04 # Starting almost_fo_3_lam with 180s (1) cores 0.57/180.04 # Starting new_bool_5 with 180s (1) cores 0.57/180.04 # Starting pre_casc_3 with 180s (1) cores 0.57/180.04 # SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true) 0.57/180.04 # Search class: HGHSM-FSLS31-SHFMMSBN 0.57/180.04 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.57/180.04 # Starting sh3 with 98s (1) cores 0.57/180.04 # Preprocessing time : 0.004 s 0.57/180.04 # Presaturation interreduction done 0.57/180.04 0.57/180.04 # Proof found! 0.57/180.04 # SZS status Theorem 0.57/180.04 # SZS output start CNFRefutation 0.57/180.04 thf(decl_22, type, in: $i > $i > $o). 0.57/180.04 thf(decl_23, type, exu: ($i > $o) > $o). 0.57/180.04 thf(decl_24, type, setextAx: $o). 0.57/180.04 thf(decl_25, type, emptyset: $i). 0.57/180.04 thf(decl_26, type, emptysetAx: $o). 0.57/180.04 thf(decl_27, type, setadjoin: $i > $i > $i). 0.57/180.04 thf(decl_28, type, setadjoinAx: $o). 0.57/180.04 thf(decl_29, type, powerset: $i > $i). 0.57/180.04 thf(decl_30, type, powersetAx: $o). 0.57/180.04 thf(decl_31, type, setunion: $i > $i). 0.57/180.04 thf(decl_32, type, setunionAx: $o). 0.57/180.04 thf(decl_33, type, omega: $i). 0.57/180.04 thf(decl_34, type, omega0Ax: $o). 0.57/180.04 thf(decl_35, type, omegaSAx: $o). 0.57/180.04 thf(decl_36, type, omegaIndAx: $o). 0.57/180.04 thf(decl_37, type, replAx: $o). 0.57/180.04 thf(decl_38, type, foundationAx: $o). 0.57/180.04 thf(decl_39, type, wellorderingAx: $o). 0.57/180.04 thf(decl_40, type, descr: ($i > $o) > $i). 0.57/180.04 thf(decl_41, type, descrp: $o). 0.57/180.04 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.57/180.04 thf(decl_43, type, dsetconstrI: $o). 0.57/180.04 thf(decl_44, type, dsetconstrEL: $o). 0.57/180.04 thf(decl_45, type, dsetconstrER: $o). 0.57/180.04 thf(decl_46, type, exuE1: $o). 0.57/180.04 thf(decl_47, type, prop2set: $o > $i). 0.57/180.04 thf(decl_48, type, prop2setE: $o). 0.57/180.04 thf(decl_49, type, emptysetE: $o). 0.57/180.04 thf(decl_50, type, emptysetimpfalse: $o). 0.57/180.04 thf(decl_51, type, notinemptyset: $o). 0.57/180.04 thf(decl_52, type, exuE3e: $o). 0.57/180.04 thf(decl_53, type, setext: $o). 0.57/180.04 thf(decl_54, type, emptyI: $o). 0.57/180.04 thf(decl_55, type, noeltsimpempty: $o). 0.57/180.04 thf(decl_56, type, setbeta: $o). 0.57/180.04 thf(decl_57, type, nonempty: $i > $o). 0.57/180.04 thf(decl_58, type, nonemptyE1: $o). 0.57/180.04 thf(decl_59, type, nonemptyI: $o). 0.57/180.04 thf(decl_60, type, nonemptyI1: $o). 0.57/180.04 thf(decl_61, type, setadjoinIL: $o). 0.57/180.04 thf(decl_62, type, emptyinunitempty: $o). 0.57/180.04 thf(decl_63, type, setadjoinIR: $o). 0.57/180.04 thf(decl_64, type, setadjoinE: $o). 0.57/180.04 thf(decl_65, type, setadjoinOr: $o). 0.57/180.04 thf(decl_66, type, setoftrueEq: $o). 0.57/180.04 thf(decl_67, type, powersetI: $o). 0.57/180.04 thf(decl_68, type, emptyinPowerset: $o). 0.57/180.04 thf(decl_69, type, emptyInPowerset: $o). 0.57/180.04 thf(decl_70, type, powersetE: $o). 0.57/180.04 thf(decl_71, type, setunionI: $o). 0.57/180.04 thf(decl_72, type, setunionE: $o). 0.57/180.04 thf(decl_73, type, subPowSU: $o). 0.57/180.04 thf(decl_74, type, exuE2: $o). 0.57/180.04 thf(decl_75, type, nonemptyImpWitness: $o). 0.57/180.04 thf(decl_76, type, uniqinunit: $o). 0.57/180.04 thf(decl_77, type, notinsingleton: $o). 0.57/180.04 thf(decl_78, type, eqinunit: $o). 0.57/180.04 thf(decl_79, type, singletonsswitch: $o). 0.57/180.04 thf(decl_80, type, upairsetE: $o). 0.57/180.04 thf(decl_81, type, upairsetIL: $o). 0.57/180.04 thf(decl_82, type, upairsetIR: $o). 0.57/180.04 thf(decl_83, type, emptyE1: $o). 0.57/180.04 thf(decl_84, type, vacuousDall: $o). 0.57/180.04 thf(decl_85, type, quantDeMorgan1: $o). 0.57/180.04 thf(decl_86, type, quantDeMorgan2: $o). 0.57/180.04 thf(decl_87, type, quantDeMorgan3: $o). 0.57/180.04 thf(decl_88, type, quantDeMorgan4: $o). 0.57/180.04 thf(decl_89, type, prop2setI: $o). 0.57/180.04 thf(decl_90, type, set2prop: $i > $o). 0.57/180.04 thf(decl_91, type, prop2set2propI: $o). 0.57/180.04 thf(decl_92, type, notdexE: $o). 0.57/180.04 thf(decl_93, type, notdallE: $o). 0.57/180.04 thf(decl_94, type, exuI1: $o). 0.57/180.04 thf(decl_95, type, exuI3: $o). 0.57/180.04 thf(decl_96, type, exuI2: $o). 0.57/180.04 thf(decl_97, type, inCongP: $o). 0.57/180.04 thf(decl_98, type, in__Cong: $o). 0.57/180.04 thf(decl_99, type, exuE3u: $o). 0.57/180.04 thf(decl_100, type, exu__Cong: $o). 0.57/180.04 thf(decl_101, type, emptyset__Cong: $o). 0.57/180.04 thf(decl_102, type, setadjoin__Cong: $o). 0.57/180.04 thf(decl_103, type, powerset__Cong: $o). 0.57/180.04 thf(decl_104, type, setunion__Cong: $o). 0.57/180.04 thf(decl_105, type, omega__Cong: $o). 0.57/180.04 thf(decl_106, type, exuEu: $o). 0.57/180.04 thf(decl_107, type, descr__Cong: $o). 0.57/180.04 thf(decl_108, type, dsetconstr__Cong: $o). 0.57/180.04 thf(decl_109, type, subset: $i > $i > $o). 0.57/180.04 thf(decl_112, type, subsetI1: $o). 0.57/180.04 thf(decl_113, type, eqimpsubset2: $o). 0.57/180.04 thf(decl_114, type, eqimpsubset1: $o). 0.57/180.04 thf(decl_115, type, subsetI2: $o). 0.57/180.04 thf(decl_116, type, emptysetsubset: $o). 0.57/180.04 thf(decl_117, type, subsetE: $o). 0.57/180.04 thf(decl_118, type, subsetE2: $o). 0.57/180.04 thf(decl_119, type, notsubsetI: $o). 0.57/180.04 thf(decl_120, type, notequalI1: $o). 0.57/180.04 thf(decl_121, type, notequalI2: $o). 0.57/180.04 thf(decl_122, type, subsetRefl: $o). 0.57/180.04 thf(decl_123, type, subsetTrans: $o). 0.57/180.04 thf(decl_124, type, setadjoinSub: $o). 0.57/180.04 thf(decl_125, type, setadjoinSub2: $o). 0.57/180.04 thf(decl_126, type, subset2powerset: $o). 0.57/180.04 thf(decl_127, type, setextsub: $o). 0.57/180.04 thf(decl_128, type, subsetemptysetimpeq: $o). 0.57/180.04 thf(decl_129, type, powersetI1: $o). 0.57/180.04 thf(decl_130, type, powersetE1: $o). 0.57/180.04 thf(decl_131, type, inPowerset: $o). 0.57/180.04 thf(decl_132, type, powersetsubset: $o). 0.57/180.04 thf(decl_133, type, sepInPowerset: $o). 0.57/180.04 thf(decl_134, type, sepSubset: $o). 0.57/180.04 thf(decl_135, type, binunion: $i > $i > $i). 0.57/180.04 thf(decl_136, type, binunionIL: $o). 0.57/180.04 thf(decl_137, type, upairset2IR: $o). 0.57/180.04 thf(decl_138, type, binunionIR: $o). 0.57/180.04 thf(decl_139, type, binunionEcases: $o). 0.57/180.04 thf(decl_140, type, binunionE: $o). 0.57/180.04 thf(decl_141, type, binunionLsub: $o). 0.57/180.04 thf(decl_142, type, binunionRsub: $o). 0.57/180.04 thf(decl_143, type, binintersect: $i > $i > $i). 0.57/180.04 thf(decl_144, type, binintersectI: $o). 0.57/180.04 thf(decl_145, type, binintersectSubset5: $o). 0.57/180.04 thf(decl_146, type, binintersectEL: $o). 0.57/180.04 thf(decl_147, type, binintersectLsub: $o). 0.57/180.04 thf(decl_148, type, binintersectSubset2: $o). 0.57/180.04 thf(decl_149, type, binintersectSubset3: $o). 0.57/180.04 thf(decl_150, type, binintersectER: $o). 0.57/180.04 thf(decl_151, type, disjointsetsI1: $o). 0.57/180.04 thf(decl_152, type, binintersectRsub: $o). 0.57/180.04 thf(decl_153, type, binintersectSubset4: $o). 0.57/180.04 thf(decl_154, type, binintersectSubset1: $o). 0.57/180.04 thf(decl_155, type, bs114d: $o). 0.57/180.04 thf(decl_157, type, setminus: $i > $i > $i). 0.57/180.04 thf(decl_158, type, setminusI: $o). 0.57/180.04 thf(decl_159, type, setminusEL: $o). 0.57/180.04 thf(decl_160, type, setminusER: $o). 0.57/180.04 thf(decl_161, type, setminusSubset2: $o). 0.57/180.04 thf(decl_162, type, setminusERneg: $o). 0.57/180.04 thf(decl_163, type, setminusELneg: $o). 0.57/180.04 thf(decl_164, type, setminusILneg: $o). 0.57/180.04 thf(decl_165, type, setminusIRneg: $o). 0.57/180.04 thf(decl_166, type, setminusLsub: $o). 0.57/180.04 thf(decl_167, type, setminusSubset1: $o). 0.57/180.04 thf(decl_168, type, symdiff: $i > $i > $i). 0.57/180.04 thf(decl_169, type, symdiffE: $o). 0.57/180.04 thf(decl_170, type, symdiffI1: $o). 0.57/180.04 thf(decl_171, type, symdiffI2: $o). 0.57/180.04 thf(decl_172, type, symdiffIneg1: $o). 0.57/180.04 thf(decl_173, type, symdiffIneg2: $o). 0.57/180.04 thf(decl_175, type, epred1_0: $o). 0.57/180.04 thf(decl_176, type, esk1_2: $i > $i > $i). 0.57/180.04 thf(decl_177, type, esk2_2: $i > $i > $i). 0.57/180.04 thf(decl_178, type, esk3_2: $i > $i > $i). 0.57/180.04 thf(decl_179, type, esk4_1: $i > $i). 0.57/180.04 thf(decl_180, type, esk5_2: ($i > $i > $o) > $i > $i). 0.57/180.04 thf(decl_181, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.57/180.04 thf(decl_182, type, esk7_2: ($i > $i > $o) > $i > $i). 0.57/180.04 thf(decl_183, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.57/180.04 thf(decl_184, type, esk9_1: $i > $i). 0.57/180.04 thf(decl_185, type, esk10_2: ($i > $o) > $i > $i). 0.57/180.04 thf(decl_186, type, esk11_2: ($i > $o) > $i > $i). 0.57/180.04 thf(decl_187, type, esk12_1: ($i > $o) > $i). 0.57/180.04 thf(decl_188, type, esk13_2: ($i > $o) > $i > $i). 0.57/180.04 thf(decl_189, type, esk14_1: ($i > $o) > $i). 0.57/180.04 thf(decl_190, type, esk15_2: $i > $i > $i). 0.57/180.04 thf(decl_191, type, esk16_2: $i > $i > $i). 0.57/180.04 thf(decl_192, type, esk17_1: $i > $i). 0.57/180.04 thf(decl_193, type, esk18_1: $i > $i). 0.57/180.04 thf(decl_194, type, esk19_1: $i > $i). 0.57/180.04 thf(decl_195, type, esk20_2: $i > $i > $i). 0.57/180.04 thf(decl_196, type, esk21_3: $i > $i > $o > $i). 0.57/180.04 thf(decl_197, type, esk22_2: ($i > $o) > $i > $i). 0.57/180.04 thf(decl_198, type, esk23_1: ($i > $o) > $i). 0.57/180.04 thf(decl_199, type, esk24_1: $i > $i). 0.57/180.04 thf(decl_200, type, esk25_2: $i > ($i > $o) > $i). 0.57/180.04 thf(decl_201, type, esk26_2: $i > ($i > $o) > $i). 0.57/180.04 thf(decl_202, type, esk27_2: $i > ($i > $o) > $i). 0.57/180.04 thf(decl_203, type, esk28_2: $i > ($i > $o) > $i). 0.57/180.04 thf(decl_204, type, esk29_2: $i > ($i > $o) > $i). 0.57/180.04 thf(decl_205, type, esk30_2: $i > ($i > $o) > $i). 0.57/180.04 thf(decl_206, type, esk31_2: ($i > $o) > $i > $i). 0.57/180.04 thf(decl_207, type, esk32_1: ($i > $o) > $i). 0.57/180.04 thf(decl_208, type, esk33_1: ($i > $o) > $i). 0.57/180.04 thf(decl_209, type, esk34_1: ($i > $o) > $i). 0.57/180.04 thf(decl_210, type, esk35_1: ($i > $o) > $i). 0.57/180.04 thf(decl_211, type, esk36_2: ($i > $o) > $i > $i). 0.57/180.04 thf(decl_212, type, esk37_1: ($i > $o) > $i). 0.57/180.04 thf(decl_213, type, esk38_2: ($i > $o) > $i > $i). 0.57/180.04 thf(decl_214, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.57/180.04 thf(decl_215, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.57/180.04 thf(decl_216, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.57/180.04 thf(decl_217, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.57/180.04 thf(decl_218, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.57/180.04 thf(decl_219, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.57/180.04 thf(decl_220, type, esk45_2: ($i > $o) > $i > $i). 0.57/180.04 thf(decl_221, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.57/180.04 thf(decl_222, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.57/180.04 thf(decl_223, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.57/180.04 thf(decl_224, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.57/180.04 thf(decl_225, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.57/180.04 thf(decl_226, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.57/180.04 thf(decl_227, type, esk52_2: $i > $i > $i). 0.57/180.04 thf(decl_228, type, esk53_2: $i > $i > $i). 0.57/180.04 thf(decl_229, type, esk54_2: $i > $i > $i). 0.57/180.04 thf(decl_230, type, esk55_0: $i). 0.57/180.04 thf(decl_231, type, esk56_0: $i). 0.57/180.04 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', nonempty)). 0.57/180.04 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', nonemptyI)). 0.57/180.04 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', exuE3e)). 0.57/180.04 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', exu)). 0.57/180.04 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', exuI1)). 0.57/180.04 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.0kDDriuOlr/E---3.1_4484.p', exuE1)). 0.57/180.04 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', descrp)). 0.57/180.04 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', exuI3)). 0.57/180.04 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', exuE3u)). 0.57/180.04 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', descr__Cong)). 0.57/180.04 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', exuEu)). 0.57/180.04 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', exu__Cong)). 0.57/180.04 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', exuI2)). 0.57/180.04 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.0kDDriuOlr/E---3.1_4484.p', exuE2)). 0.57/180.04 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', replAx)). 0.57/180.04 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.0kDDriuOlr/E---3.1_4484.p', emptyE1)). 0.57/180.04 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', nonemptyImpWitness)). 0.57/180.04 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', dsetconstr__Cong)). 0.57/180.04 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', sepSubset)). 0.57/180.04 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', sepInPowerset)). 0.57/180.04 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setoftrueEq)). 0.57/180.04 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', nonemptyI1)). 0.57/180.04 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', nonemptyE1)). 0.57/180.04 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setbeta)). 0.57/180.04 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', dsetconstrER)). 0.57/180.04 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', dsetconstrEL)). 0.57/180.04 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', dsetconstrI)). 0.57/180.04 thf(secondinupair, conjecture, ((setextAx)=>((emptysetAx)=>((((setunionAx)=>((((omegaIndAx)=>((replAx)=>(((wellorderingAx)=>(((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>(((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((((setext)=>(((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>(((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>(((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>(((emptyInPowerset)=>((powersetE)=>((setunionI)=>((((exuE2)=>((((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>(((upairsetIL)=>((upairsetIR)=>((((quantDeMorgan1)=>((((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>(((inCongP)=>(((exuE3u)=>(((((powerset__Cong)=>(((omega__Cong)=>((((dsetconstr__Cong)=>((((eqimpsubset1)=>((((subsetE)=>((subsetE2)=>(((notequalI1)=>((((((setadjoinSub2)=>((subset2powerset)=>(((subsetemptysetimpeq)=>((powersetI1)=>((((powersetsubset)=>((((binunionIL)=>(((binunionIR)=>((binunionEcases)=>(((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>(((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((((setminusEL)=>((setminusER)=>((setminusSubset2)=>((((setminusILneg)=>((setminusIRneg)=>(((setminusSubset1)=>((symdiffE)=>(((symdiffI2)=>(((symdiffIneg2)=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))<=(symdiffIneg1)))<=(symdiffI1))))<=(setminusLsub))))<=(setminusELneg))<=(setminusERneg)))))<=(setminusI))<=(bs114d))))))))<=(binintersectSubset2))))))))<=(binunionE))))<=(upairset2IR)))<=(sepSubset))<=(sepInPowerset)))<=(inPowerset))<=(powersetE1))))<=(setextsub))))<=(setadjoinSub))<=(subsetTrans))<=(subsetRefl))<=(notequalI2)))<=(notsubsetI))))<=(emptysetsubset))<=(subsetI2)))<=(eqimpsubset2))<=(subsetI1)))<=(descr__Cong))<=(exuEu)))<=(setunion__Cong)))<=(setadjoin__Cong))<=(emptyset__Cong))<=(exu__Cong)))<=(in__Cong)))<=(exuI2)))))))))<=(quantDeMorgan3))<=(quantDeMorgan2)))<=(vacuousDall))<=(emptyE1))))<=(upairsetE)))))<=(uniqinunit))<=(nonemptyImpWitness)))<=(subPowSU))<=(setunionE)))))<=(emptyinPowerset)))))<=(setadjoinE))))))<=(nonemptyI)))))<=(emptyI)))<=(exuE3e))<=(notinemptyset)))))<=(exuE1)))))<=(descrp)))<=(foundationAx))))<=(omegaSAx))<=(omega0Ax)))<=(powersetAx))<=(setadjoinAx)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', secondinupair)). 0.57/180.04 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', quantDeMorgan1)). 0.57/180.04 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setadjoinAx)). 0.57/180.04 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', upairsetE)). 0.57/180.04 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', prop2setI)). 0.57/180.04 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', uniqinunit)). 0.57/180.04 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', prop2set2propI)). 0.57/180.04 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', subPowSU)). 0.57/180.04 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setunionE)). 0.57/180.04 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', emptyinPowerset)). 0.57/180.04 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', notdexE)). 0.57/180.04 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setadjoinE)). 0.57/180.04 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', notdallE)). 0.57/180.04 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', emptyI)). 0.57/180.04 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', notinemptyset)). 0.57/180.04 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', upairsetIR)). 0.57/180.04 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.0kDDriuOlr/E---3.1_4484.p', foundationAx)). 0.57/180.04 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', omegaSAx)). 0.57/180.04 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', omega0Ax)). 0.57/180.04 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', powersetAx)). 0.57/180.04 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.0kDDriuOlr/E---3.1_4484.p', inCongP)). 0.57/180.04 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.0kDDriuOlr/E---3.1_4484.p', binunionEcases)). 0.57/180.04 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', powerset__Cong)). 0.57/180.04 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', omega__Cong)). 0.57/180.04 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', eqimpsubset1)). 0.57/180.04 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', subsetE)). 0.57/180.04 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', subsetE2)). 0.57/180.04 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', notequalI1)). 0.57/180.04 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setadjoinSub2)). 0.57/180.04 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', subset2powerset)). 0.57/180.05 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', subsetemptysetimpeq)). 0.57/180.05 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', powersetI1)). 0.57/180.05 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', powersetsubset)). 0.57/180.05 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binunionIL)). 0.57/180.05 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binunionIR)). 0.57/180.05 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', subsetI1)). 0.57/180.05 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setunion__Cong)). 0.57/180.05 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setadjoin__Cong)). 0.57/180.05 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binunionLsub)). 0.57/180.05 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binunionRsub)). 0.57/180.05 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectI)). 0.57/180.05 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectSubset5)). 0.57/180.05 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectEL)). 0.57/180.05 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectLsub)). 0.57/180.05 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectSubset3)). 0.57/180.05 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectER)). 0.57/180.05 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', quantDeMorgan4)). 0.57/180.05 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', disjointsetsI1)). 0.57/180.05 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectRsub)). 0.57/180.05 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectSubset4)). 0.57/180.05 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectSubset1)). 0.57/180.05 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusEL)). 0.57/180.05 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusER)). 0.57/180.05 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusSubset2)). 0.57/180.05 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusILneg)). 0.57/180.05 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusIRneg)). 0.57/180.05 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusSubset1)). 0.57/180.05 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', symdiffE)). 0.57/180.05 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', symdiffI2)). 0.57/180.05 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', symdiffIneg2)). 0.57/180.05 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', symdiffIneg1)). 0.57/180.05 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', symdiffI1)). 0.57/180.05 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusLsub)). 0.57/180.05 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusELneg)). 0.57/180.05 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusERneg)). 0.57/180.05 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setminusI)). 0.57/180.05 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', bs114d)). 0.57/180.05 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binintersectSubset2)). 0.57/180.05 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', binunionE)). 0.57/180.05 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', upairset2IR)). 0.57/180.05 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', inPowerset)). 0.57/180.05 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', powersetE1)). 0.57/180.05 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setextsub)). 0.57/180.05 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setadjoinSub)). 0.57/180.05 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', subsetTrans)). 0.57/180.05 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', subsetRefl)). 0.57/180.05 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', notequalI2)). 0.57/180.05 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', notsubsetI)). 0.57/180.05 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', emptysetsubset)). 0.57/180.05 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', subsetI2)). 0.57/180.05 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', eqimpsubset2)). 0.57/180.05 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', emptyset__Cong)). 0.57/180.05 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.0kDDriuOlr/E---3.1_4484.p', in__Cong)). 0.57/180.05 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', quantDeMorgan3)). 0.57/180.05 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', quantDeMorgan2)). 0.57/180.05 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', vacuousDall)). 0.57/180.05 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', upairsetIL)). 0.57/180.05 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', singletonsswitch)). 0.57/180.05 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', eqinunit)). 0.57/180.05 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', notinsingleton)). 0.57/180.05 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setunionI)). 0.57/180.05 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', powersetE)). 0.57/180.05 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', emptyInPowerset)). 0.57/180.05 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', powersetI)). 0.57/180.05 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setadjoinOr)). 0.57/180.05 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setadjoinIR)). 0.57/180.05 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', emptyinunitempty)). 0.57/180.05 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setadjoinIL)). 0.57/180.05 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', noeltsimpempty)). 0.57/180.05 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.0kDDriuOlr/E---3.1_4484.p', setext)). 0.57/180.05 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', emptysetimpfalse)). 0.57/180.05 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', emptysetE)). 0.57/180.05 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', prop2setE)). 0.57/180.05 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', wellorderingAx)). 0.57/180.05 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.0kDDriuOlr/E---3.1_4484.p', omegaIndAx)). 0.57/180.05 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setunionAx)). 0.57/180.05 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', emptysetAx)). 0.57/180.05 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.0kDDriuOlr/E---3.1_4484.p', setextAx)). 0.57/180.05 thf(c_0_135, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.57/180.05 thf(c_0_136, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.57/180.05 thf(c_0_137, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.57/180.05 thf(c_0_138, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.57/180.05 thf(c_0_139, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 0.57/180.05 thf(c_0_140, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.57/180.05 thf(c_0_141, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.57/180.05 thf(c_0_142, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.57/180.05 thf(c_0_143, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 0.57/180.05 thf(c_0_144, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.57/180.05 thf(c_0_145, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.57/180.05 thf(c_0_146, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.57/180.05 thf(c_0_147, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.57/180.05 thf(c_0_148, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.57/180.05 thf(c_0_149, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.57/180.05 thf(c_0_150, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])). 0.57/180.05 thf(c_0_151, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_135])). 0.57/180.05 thf(c_0_152, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_135])). 0.57/180.05 thf(c_0_153, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X383:$i]:((((X1 @ X383))&![X384:$i]:((((X1 @ X384))=>((X383)=(X384)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_137, c_0_138])). 0.57/180.05 thf(c_0_154, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X387:$i]:((((X1 @ X387))&![X388:$i]:((((X1 @ X388))=>((X387)=(X388))))))))))), inference(apply_def,[status(thm)],[c_0_139, c_0_138])). 0.57/180.05 thf(c_0_155, plain, ((exuE1)=(![X1:$i > $o]:(((?[X381:$i]:((((X1 @ X381))&![X382:$i]:((((X1 @ X382))=>((X381)=(X382)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_140, c_0_138])). 0.57/180.05 thf(c_0_156, plain, ((descrp)=(![X1:$i > $o]:(((?[X379:$i]:((((X1 @ X379))&![X380:$i]:((((X1 @ X380))=>((X379)=(X380)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_141, c_0_138])). 0.57/180.05 thf(c_0_157, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X389:$i]:((((X1 @ X389))&![X390:$i]:((((X1 @ X390))=>((X389)=(X390)))))))))))), inference(apply_def,[status(thm)],[c_0_142, c_0_138])). 0.57/180.05 thf(c_0_158, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X393:$i]:((((X1 @ X393))&![X394:$i]:((((X1 @ X394))=>((X393)=(X394)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_143, c_0_138])). 0.57/180.05 thf(c_0_159, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.57/180.05 thf(c_0_160, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X401:$i]:((((X1 @ X401))&![X402:$i]:((((X1 @ X402))=>((X401)=(X402)))))))=>((?[X403:$i]:((((X17 @ X403))&![X404:$i]:((((X17 @ X404))=>((X403)=(X404)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_144, c_0_138])). 0.57/180.05 thf(c_0_161, plain, ((exuEu)=(![X1:$i > $o]:(((?[X399:$i]:((((X1 @ X399))&![X400:$i]:((((X1 @ X400))=>((X399)=(X400)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_145, c_0_138])). 0.57/180.05 thf(c_0_162, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 0.57/180.05 thf(c_0_163, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 0.57/180.05 thf(c_0_164, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X395:$i]:((((X1 @ X395))&![X396:$i]:((((X1 @ X396))=>((X395)=(X396)))))))<=>(?[X397:$i]:((((X17 @ X397))&![X398:$i]:((((X17 @ X398))=>((X397)=(X398)))))))))))), inference(apply_def,[status(thm)],[c_0_146, c_0_138])). 0.57/180.05 thf(c_0_165, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X391:$i]:((((X1 @ X391))&![X392:$i]:((((X1 @ X392))=>((X391)=(X392))))))))))), inference(apply_def,[status(thm)],[c_0_147, c_0_138])). 0.57/180.05 thf(c_0_166, plain, ((exuE2)=(![X1:$i > $o]:(((?[X385:$i]:((((X1 @ X385))&![X386:$i]:((((X1 @ X386))=>((X385)=(X386)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_148, c_0_138])). 0.57/180.05 thf(c_0_167, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.57/180.05 thf(c_0_168, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_135])). 0.57/180.05 thf(c_0_169, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_135])). 0.57/180.05 thf(c_0_170, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.57/180.05 thf(c_0_171, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.57/180.05 thf(c_0_172, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.57/180.05 thf(c_0_173, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.57/180.05 thf(c_0_174, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X377:$i]:((((X6 @ X2 @ X377))&![X378:$i]:((((X6 @ X2 @ X378))=>((X377)=(X378)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_149, c_0_138])). 0.57/180.05 thf(c_0_175, plain, ((epred1_0)<=>![X423:$i]:(?[X424:$i]:((((![X425:$i]:(((in @ X425 @ X424)=>![X426:$i]:(((in @ X426 @ X425)=>(in @ X426 @ X423)))))&![X427:$i, X428:$i]:((((in @ X427 @ X423)&(in @ X428 @ X423))=>(![X429:$i]:(((in @ X429 @ X424)=>((in @ X427 @ X429)<=>(in @ X428 @ X429))))=>((X427)=(X428))))))&![X430:$i, X431:$i]:((((in @ X430 @ X424)&(in @ X431 @ X424))=>(![X432:$i]:(((in @ X432 @ X430)=>(in @ X432 @ X431)))|![X433:$i]:(((in @ X433 @ X431)=>(in @ X433 @ X430)))))))&![X434:$i]:(((![X435:$i]:(((in @ X435 @ X434)=>(in @ X435 @ X423)))&?[X436:$i]:((in @ X436 @ X434)))=>?[X437:$i, X438:$i]:(((((in @ X437 @ X424)&(in @ X438 @ X434))&~(?[X439:$i]:(((in @ X439 @ X437)&(in @ X439 @ X434)))))&![X440:$i]:(((in @ X440 @ X424)=>(![X441:$i]:(((in @ X441 @ X440)=>(in @ X441 @ X437)))|(in @ X438 @ X440)))))))))))), introduced(definition)). 0.57/180.05 thf(c_0_176, negated_conjecture, ~((![X405:$i, X406:$i]:((![X407:$i]:(((in @ X407 @ X405)<=>(in @ X407 @ X406)))=>((X405)=(X406))))=>(![X408:$i]:(~(in @ X408 @ emptyset))=>(![X784:$i, X785:$i, X786:$i]:(((in @ X786 @ (setadjoin @ X784 @ X785))<=>(((X786)=(X784))|(in @ X786 @ X785))))=>(![X781:$i, X782:$i]:(((in @ X782 @ (powerset @ X781))<=>![X783:$i]:(((in @ X783 @ X782)=>(in @ X783 @ X781)))))=>(![X409:$i, X410:$i]:(((in @ X410 @ (setunion @ X409))<=>?[X411:$i]:(((in @ X410 @ X411)&(in @ X411 @ X409)))))=>((in @ emptyset @ omega)=>(![X780:$i]:(((in @ X780 @ omega)=>(in @ (setadjoin @ X780 @ X780) @ omega)))=>(![X412:$i]:((((in @ emptyset @ X412)&![X413:$i]:((((in @ X413 @ omega)&(in @ X413 @ X412))=>(in @ (setadjoin @ X413 @ X413) @ X412))))=>![X414:$i]:(((in @ X414 @ omega)=>(in @ X414 @ X412)))))=>(![X415:$i > $i > $o, X416:$i]:((![X417:$i]:(((in @ X417 @ X416)=>?[X418:$i]:(((X415 @ X417 @ X418)&![X419:$i]:(((X415 @ X417 @ X419)=>((X418)=(X419))))))))=>?[X420:$i]:(![X421:$i]:(((in @ X421 @ X420)<=>?[X422:$i]:(((in @ X422 @ X416)&(X415 @ X422 @ X421))))))))=>(![X776:$i]:((?[X777:$i]:((in @ X777 @ X776))=>?[X778:$i]:(((in @ X778 @ X776)&~(?[X779:$i]:(((in @ X779 @ X778)&(in @ X779 @ X776))))))))=>((epred1_0)=>(![X773:$i > $o]:((?[X774:$i]:(((X773 @ X774)&![X775:$i]:(((X773 @ X775)=>((X774)=(X775))))))=>(X773 @ (descr @ (^[Z0/* 17 */:$i]:(X773 @ Z0))))))=>(![X442:$i, X443:$i > $o, X444:$i]:(((in @ X444 @ X442)=>((X443 @ X444)=>(in @ X444 @ (dsetconstr @ X442 @ X443)))))=>(![X445:$i, X446:$i > $o, X447:$i]:(((in @ X447 @ (dsetconstr @ X445 @ X446))=>(in @ X447 @ X445)))=>(![X448:$i, X449:$i > $o, X450:$i]:(((in @ X450 @ (dsetconstr @ X448 @ X449))=>(X449 @ X450)))=>(![X768:$i > $o]:((?[X769:$i]:(((X768 @ X769)&![X770:$i]:(((X768 @ X770)=>((X769)=(X770))))))=>?[X771:$i]:(((X768 @ X771)&![X772:$i]:(((X768 @ X772)=>((X771)=(X772))))))))=>(![X451:$o, X452:$i]:(((in @ X452 @ (prop2set @ ((X451))))=>(X451)))=>(![X453:$i]:(((in @ X453 @ emptyset)=>![X454:$o]:((X454))))=>(![X455:$i]:(((in @ X455 @ 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(setadjoin @ X2 @ (setadjoin @ X3 @ 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)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_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)],[secondinupair]), quantDeMorgan1]), setadjoinAx]), c_0_150]), upairsetE]), prop2setI]), uniqinunit]), c_0_151]), prop2set2propI]), subPowSU]), setunionE]), emptyinPowerset]), notdexE]), setadjoinE]), c_0_152]), notdallE]), emptyI]), c_0_153]), notinemptyset]), c_0_154]), c_0_155]), c_0_156]), upairsetIR]), foundationAx]), c_0_157]), omegaSAx]), omega0Ax]), powersetAx]), inCongP]), binunionEcases]), c_0_158]), powerset__Cong]), omega__Cong]), c_0_159]), eqimpsubset1]), subsetE]), subsetE2]), notequalI1]), setadjoinSub2]), subset2powerset]), subsetemptysetimpeq]), powersetI1]), powersetsubset]), binunionIL]), binunionIR]), subsetI1]), c_0_160]), c_0_161]), setunion__Cong]), setadjoin__Cong]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset3]), binintersectER]), quantDeMorgan4]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), setminusEL]), setminusER]), setminusSubset2]), setminusILneg]), setminusIRneg]), setminusSubset1]), symdiffE]), symdiffI2]), symdiffIneg2]), symdiffIneg1]), symdiffI1]), setminusLsub]), setminusELneg]), setminusERneg]), setminusI]), bs114d]), binintersectSubset2]), binunionE]), upairset2IR]), c_0_162]), c_0_163]), inPowerset]), powersetE1]), setextsub]), setadjoinSub]), subsetTrans]), subsetRefl]), notequalI2]), notsubsetI]), emptysetsubset]), subsetI2]), eqimpsubset2]), emptyset__Cong]), c_0_164]), in__Cong]), c_0_165]), quantDeMorgan3]), quantDeMorgan2]), vacuousDall]), upairsetIL]), singletonsswitch]), eqinunit]), notinsingleton]), c_0_166]), setunionI]), powersetE]), emptyInPowerset]), powersetI]), c_0_167]), setadjoinOr]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), c_0_168]), c_0_169]), c_0_170]), noeltsimpempty]), setext]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_171]), c_0_172]), c_0_173]), wellorderingAx]), c_0_174]), omegaIndAx]), setunionAx]), emptysetAx]), setextAx])])]), c_0_175])). 0.57/180.05 thf(c_0_177, negated_conjecture, ![X787:$i, X788:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X797:$i, X798:$i, X800:$i, X801:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X809:$i, X810:$i > $i > $o, X811:$i, X813:$i, X816:$i, X818:$i, X819:$i, X820:$i, X821:$i, X823:$i, X824:$i > $o, X825:$i, X827:$i, X828:$i > $o, X829:$i, X830:$i, X831:$i > $o, X832:$i, X833:$i, X834:$i > $o, X835:$i, X836:$i > $o, X837:$i, X840:$i, X841:$o, X842:$i, X843:$i, X844:$o, X845:$i, X846:$i, X847:$i > $o, X848:$i, X851:$i, X852:$i, X855:$i, X857:$i, X859:$i, X860:$i > $o, X861:$i, X862:$i, X864:$i, X865:$i > $o, X866:$i, X867:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$o, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$o, X897:$i, X898:$i, X899:$i > $o, X900:$i, X903:$i, X904:$i, X905:$i, X907:$i, X908:$i, X909:$i, X910:$i, X911:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i > $o, X924:$i, X925:$i > $o, X926:$i, X927:$i, X928:$i > $o, X929:$i, X931:$i, X932:$i > $o, X934:$i, X935:$i, X936:$i > $o, X938:$i, X939:$i, X940:$i > $o, X941:$i, X943:$o, X944:$o, X945:$i, X946:$i > $o, X948:$i, X949:$i, X950:$i > $o, X951:$i, X953:$i > $o, X954:$i, X957:$i, X958:$i > $o, X959:$i, X963:$i, X964:$i > $o, X965:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i > $o, X978:$i, X980:$i, X981:$i, X982:$i > $o, X983:$i > $o, X986:$i, X989:$i, X990:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i > $o, X1003:$i, X1005:$i, X1006:$i, X1007:$i > $o, X1008:$i > $o, X1011:$i, X1013:$i, X1015:$i, X1016:$i, X1017:$i > $o, X1018:$i > $o, X1021:$i, X1022:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i > $o, X1069:$i, X1070:$i > $o, X1071:$i, X1072:$i, X1073:$i, X1074:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$o, X1083:$i, X1084:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1111:$i, X1112:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i, X1124:$i, X1125:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$i, X1130:$i, X1131:$i, X1132:$i, X1133:$i, X1134:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$o, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i]:((((~(in @ (esk1_2 @ X787 @ X788) @ X787)|~(in @ (esk1_2 @ X787 @ X788) @ X788)|((X787)=(X788)))&((in @ (esk1_2 @ X787 @ X788) @ X787)|(in @ (esk1_2 @ X787 @ X788) @ X788)|((X787)=(X788))))&(~(in @ X790 @ emptyset)&(((~(in @ X793 @ (setadjoin @ X791 @ X792))|(((X793)=(X791))|(in @ X793 @ X792)))&((((X793)!=(X791))|(in @ X793 @ (setadjoin @ X791 @ X792)))&(~(in @ X793 @ X792)|(in @ X793 @ (setadjoin @ X791 @ X792)))))&(((~(in @ X795 @ (powerset @ X794))|(~(in @ X796 @ X795)|(in @ X796 @ X794)))&(((in @ (esk2_2 @ X797 @ X798) @ X798)|(in @ X798 @ (powerset @ X797)))&(~(in @ (esk2_2 @ X797 @ X798) @ X797)|(in @ X798 @ (powerset @ X797)))))&(((((in @ X801 @ (esk3_2 @ X800 @ X801))|~(in @ X801 @ (setunion @ X800)))&((in @ (esk3_2 @ X800 @ X801) @ X800)|~(in @ X801 @ (setunion @ X800))))&(~(in @ X804 @ X805)|~(in @ X805 @ X803)|(in @ X804 @ (setunion @ X803))))&((in @ emptyset @ omega)&((~(in @ X806 @ omega)|(in @ (setadjoin @ X806 @ X806) @ omega))&(((((in @ (esk4_1 @ X807) @ omega)|~(in @ emptyset @ X807)|(~(in @ X809 @ omega)|(in @ X809 @ X807)))&((in @ (esk4_1 @ X807) @ X807)|~(in @ emptyset @ X807)|(~(in @ X809 @ omega)|(in @ X809 @ X807))))&(~(in @ (setadjoin @ (esk4_1 @ X807) @ (esk4_1 @ X807)) @ X807)|~(in @ emptyset @ X807)|(~(in @ X809 @ omega)|(in @ X809 @ X807))))&((((((in @ (esk8_3 @ X810 @ X811 @ X816) @ X811)|~(in @ X816 @ (esk7_2 @ X810 @ X811))|(in @ (esk5_2 @ X810 @ X811) @ X811))&((X810 @ (esk8_3 @ X810 @ X811 @ X816) @ X816)|~(in @ X816 @ (esk7_2 @ X810 @ X811))|(in @ (esk5_2 @ X810 @ X811) @ X811)))&(~(in @ X819 @ X811)|~(X810 @ X819 @ X818)|(in @ X818 @ (esk7_2 @ X810 @ X811))|(in @ (esk5_2 @ X810 @ X811) @ X811)))&(((((in @ (esk8_3 @ X810 @ X811 @ X816) @ X811)|~(in @ X816 @ (esk7_2 @ X810 @ X811))|((X810 @ (esk5_2 @ X810 @ X811) @ (esk6_3 @ X810 @ X811 @ X813))|~(X810 @ (esk5_2 @ X810 @ X811) @ X813)))&((X810 @ (esk8_3 @ X810 @ X811 @ X816) @ X816)|~(in @ X816 @ (esk7_2 @ X810 @ X811))|((X810 @ (esk5_2 @ X810 @ X811) @ (esk6_3 @ X810 @ X811 @ X813))|~(X810 @ (esk5_2 @ X810 @ X811) @ X813))))&(~(in @ X819 @ X811)|~(X810 @ X819 @ X818)|(in @ X818 @ (esk7_2 @ X810 @ X811))|((X810 @ (esk5_2 @ X810 @ X811) @ (esk6_3 @ X810 @ X811 @ X813))|~(X810 @ (esk5_2 @ X810 @ X811) @ X813))))&((((in @ (esk8_3 @ X810 @ X811 @ X816) @ X811)|~(in @ X816 @ (esk7_2 @ X810 @ X811))|(((X813)!=(esk6_3 @ X810 @ X811 @ X813))|~(X810 @ (esk5_2 @ X810 @ X811) @ X813)))&((X810 @ (esk8_3 @ X810 @ X811 @ X816) @ X816)|~(in @ X816 @ (esk7_2 @ X810 @ X811))|(((X813)!=(esk6_3 @ X810 @ X811 @ X813))|~(X810 @ (esk5_2 @ X810 @ X811) @ X813))))&(~(in @ X819 @ X811)|~(X810 @ X819 @ X818)|(in @ X818 @ (esk7_2 @ X810 @ X811))|(((X813)!=(esk6_3 @ X810 @ X811 @ X813))|~(X810 @ (esk5_2 @ X810 @ X811) @ X813))))))&((((in @ (esk9_1 @ X820) @ X820)|~(in @ X821 @ X820))&(~(in @ X823 @ (esk9_1 @ X820))|~(in @ X823 @ X820)|~(in @ X821 @ X820)))&((epred1_0)&((((X824 @ (esk10_2 @ X824 @ X825))|~(X824 @ X825)|(X824 @ (descr @ X824)))&(((X825)!=(esk10_2 @ X824 @ X825))|~(X824 @ X825)|(X824 @ (descr @ X824))))&((~(in @ X829 @ X827)|(~(X828 @ X829)|(in @ X829 @ (dsetconstr @ X827 @ X828))))&((~(in @ X832 @ (dsetconstr @ X830 @ X831))|(in @ X832 @ X830))&((~(in @ X835 @ (dsetconstr @ X833 @ X834))|(X834 @ X835))&(((((X836 @ (esk12_1 @ X836))|((X836 @ (esk11_2 @ X836 @ X837))|~(X836 @ X837)))&(~(X836 @ X840)|((esk12_1 @ X836)=(X840))|((X836 @ (esk11_2 @ X836 @ X837))|~(X836 @ X837))))&(((X836 @ (esk12_1 @ X836))|(((X837)!=(esk11_2 @ X836 @ X837))|~(X836 @ X837)))&(~(X836 @ X840)|((esk12_1 @ X836)=(X840))|(((X837)!=(esk11_2 @ X836 @ X837))|~(X836 @ X837)))))&((~(in @ X842 @ (prop2set @ ((X841))))|(X841))&((~(in @ X843 @ emptyset)|(X844))&((~(in @ X845 @ emptyset)|~($true))&(~(in @ X846 @ emptyset)&((((X847 @ (esk13_2 @ X847 @ 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X1049)|(subset @ X1047 @ X1049)))&((subset @ X1051 @ (setadjoin @ X1050 @ X1051))&((~(subset @ X1052 @ X1054)|(subset @ X1052 @ (setadjoin @ X1053 @ X1054)))&((~(subset @ X1055 @ X1056)|(in @ X1055 @ (powerset @ X1056)))&((~(subset @ X1057 @ X1058)|(~(subset @ X1058 @ X1057)|((X1057)=(X1058))))&((~(subset @ X1059 @ emptyset)|((X1059)=(emptyset)))&((~(subset @ X1061 @ X1060)|(in @ X1061 @ (powerset @ X1060)))&((~(in @ X1063 @ (powerset @ X1062))|(subset @ X1063 @ X1062))&((in @ X1064 @ (powerset @ X1064))&((~(subset @ X1065 @ X1066)|(subset @ (powerset @ X1065) @ (powerset @ X1066)))&((in @ (dsetconstr @ X1067 @ X1068) @ (powerset @ X1067))&((subset @ (dsetconstr @ X1069 @ X1070) @ X1069)&((~(in @ X1073 @ X1071)|(in @ X1073 @ (binunion @ X1071 @ X1072)))&((in @ X1075 @ (setadjoin @ X1074 @ (setadjoin @ X1075 @ emptyset)))&((~(in @ X1078 @ X1077)|(in @ X1078 @ (binunion @ X1076 @ X1077)))&(((((in @ X1081 @ X1080)|(X1082)|(in @ X1081 @ X1079)|~(in @ X1081 @ (binunion @ X1079 @ X1080)))&(~(X1082)|(X1082)|(in @ X1081 @ X1079)|~(in @ X1081 @ (binunion @ X1079 @ X1080))))&(((in @ X1081 @ X1080)|(X1082)|~(X1082)|~(in @ X1081 @ (binunion @ X1079 @ X1080)))&(~(X1082)|(X1082)|~(X1082)|~(in @ X1081 @ (binunion @ X1079 @ X1080)))))&((~(in @ X1085 @ (binunion @ X1083 @ X1084))|((in @ X1085 @ X1083)|(in @ X1085 @ X1084)))&((subset @ X1086 @ (binunion @ X1086 @ X1087))&((subset @ X1089 @ (binunion @ X1088 @ X1089))&((~(in @ X1092 @ X1090)|(~(in @ X1092 @ X1091)|(in @ X1092 @ (binintersect @ X1090 @ X1091))))&((~(subset @ X1095 @ X1093)|(~(subset @ X1095 @ X1094)|(subset @ X1095 @ (binintersect @ X1093 @ X1094))))&((~(in @ X1098 @ (binintersect @ X1096 @ X1097))|(in @ X1098 @ X1096))&((subset @ (binintersect @ X1099 @ X1100) @ X1099)&((~(subset @ X1101 @ X1102)|((binintersect @ X1101 @ X1102)=(X1101)))&((((binintersect @ X1103 @ X1104)!=(X1104))|(subset @ X1104 @ X1103))&((~(in @ X1107 @ (binintersect @ X1105 @ X1106))|(in @ X1107 @ X1106))&((((in @ (esk54_2 @ X1108 @ X1109) @ X1108)|((binintersect @ X1108 @ X1109)=(emptyset)))&((in @ (esk54_2 @ X1108 @ X1109) @ X1109)|((binintersect @ X1108 @ X1109)=(emptyset))))&((subset @ (binintersect @ X1111 @ X1112) @ X1112)&((~(subset @ X1114 @ X1113)|((binintersect @ X1113 @ X1114)=(X1114)))&((((binintersect @ X1115 @ X1116)!=(X1115))|(subset @ X1115 @ X1116))&(((binintersect @ X1117 @ (binunion @ X1118 @ X1119))=(binunion @ (binintersect @ X1117 @ X1118) @ (binintersect @ X1117 @ X1119)))&((~(in @ X1122 @ X1120)|((in @ X1122 @ X1121)|(in @ X1122 @ (setminus @ X1120 @ X1121))))&((~(in @ X1125 @ (setminus @ X1123 @ X1124))|(in @ X1125 @ X1123))&((~(in @ X1128 @ (setminus @ X1126 @ X1127))|~(in @ X1128 @ X1127))&((~(subset @ X1129 @ X1130)|((setminus @ X1129 @ X1130)=(emptyset)))&(((in @ X1133 @ (setminus @ X1131 @ X1132))|(~(in @ X1133 @ X1131)|(in @ X1133 @ X1132)))&(((in @ X1136 @ (setminus @ X1134 @ X1135))|((in @ X1136 @ X1135)|~(in @ X1136 @ X1134)))&(((in @ X1139 @ X1137)|~(in @ X1139 @ (setminus @ X1137 @ X1138)))&((~(in @ X1142 @ X1141)|~(in @ X1142 @ (setminus @ X1140 @ X1141)))&((subset @ (setminus @ X1143 @ X1144) @ X1143)&((((setminus @ X1145 @ X1146)!=(emptyset))|(subset @ X1145 @ X1146))&((((~(in @ X1149 @ X1147)|(X1150)|(in @ X1149 @ X1147)|~(in @ X1149 @ (symdiff @ X1147 @ X1148)))&(((in @ X1149 @ X1148)|(X1150)|(in @ X1149 @ X1147)|~(in @ X1149 @ (symdiff @ X1147 @ X1148)))&(~(X1150)|(X1150)|(in @ X1149 @ X1147)|~(in @ X1149 @ (symdiff @ X1147 @ X1148)))))&(((~(in @ X1149 @ X1147)|(X1150)|~(in @ X1149 @ X1148)|~(in @ X1149 @ (symdiff @ X1147 @ X1148)))&(((in @ X1149 @ X1148)|(X1150)|~(in @ X1149 @ X1148)|~(in @ X1149 @ (symdiff @ X1147 @ X1148)))&(~(X1150)|(X1150)|~(in @ X1149 @ X1148)|~(in @ X1149 @ (symdiff @ X1147 @ X1148)))))&((~(in @ X1149 @ X1147)|(X1150)|~(X1150)|~(in @ X1149 @ (symdiff @ X1147 @ X1148)))&(((in @ X1149 @ X1148)|(X1150)|~(X1150)|~(in @ X1149 @ (symdiff @ X1147 @ X1148)))&(~(X1150)|(X1150)|~(X1150)|~(in @ X1149 @ (symdiff @ X1147 @ X1148)))))))&((~(in @ X1153 @ X1151)|((in @ X1153 @ X1152)|(in @ X1153 @ (symdiff @ X1151 @ X1152))))&(((in @ X1156 @ X1154)|(~(in @ X1156 @ X1155)|(in @ X1156 @ (symdiff @ X1154 @ X1155))))&((~(in @ X1159 @ X1157)|(~(in @ X1159 @ X1158)|~(in @ X1159 @ (symdiff @ X1157 @ X1158))))&(((in @ X1162 @ X1160)|((in @ X1162 @ X1161)|~(in @ X1162 @ (symdiff @ X1160 @ X1161))))&~(in @ esk56_0 @ (setadjoin @ esk55_0 @ (setadjoin @ esk56_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_176])])])])])])])). 0.57/180.05 thf(c_0_178, negated_conjecture, ~((in @ esk56_0 @ (setadjoin @ esk55_0 @ (setadjoin @ esk56_0 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_177])). 0.57/180.05 thf(c_0_179, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_177])). 0.57/180.05 thf(c_0_180, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178, c_0_179])]), ['proof']). 0.57/180.05 # SZS output end CNFRefutation 0.57/180.05 # Parsed axioms : 289 0.57/180.05 # Removed by relevancy pruning/SinE : 153 0.57/180.05 # Initial clauses : 257 0.57/180.05 # Removed in clause preprocessing : 25 0.57/180.05 # Initial clauses in saturation : 232 0.57/180.05 # Processed clauses : 67 0.57/180.05 # ...of these trivial : 1 0.57/180.05 # ...subsumed : 10 0.57/180.05 # ...remaining for further processing : 56 0.57/180.05 # Other redundant clauses eliminated : 5 0.57/180.05 # Clauses deleted for lack of memory : 0 0.57/180.05 # Backward-subsumed : 0 0.57/180.05 # Backward-rewritten : 2 0.57/180.05 # Generated clauses : 5 0.57/180.05 # ...of the previous two non-redundant : 1 0.57/180.05 # ...aggressively subsumed : 0 0.57/180.05 # Contextual simplify-reflections : 0 0.57/180.05 # Paramodulations : 0 0.57/180.05 # Factorizations : 0 0.57/180.05 # NegExts : 0 0.57/180.05 # Equation resolutions : 5 0.57/180.05 # Disequality decompositions : 0 0.57/180.05 # Total rewrite steps : 7 0.57/180.05 # ...of those cached : 2 0.57/180.05 # Propositional unsat checks : 0 0.57/180.05 # Propositional check models : 0 0.57/180.05 # Propositional check unsatisfiable : 0 0.57/180.05 # Propositional clauses : 0 0.57/180.05 # Propositional clauses after purity: 0 0.57/180.05 # Propositional unsat core size : 0 0.57/180.05 # Propositional preprocessing time : 0.000 0.57/180.05 # Propositional encoding time : 0.000 0.57/180.05 # Propositional solver time : 0.000 0.57/180.05 # Success case prop preproc time : 0.000 0.57/180.05 # Success case prop encoding time : 0.000 0.57/180.05 # Success case prop solver time : 0.000 0.57/180.05 # Current number of processed clauses : 49 0.57/180.05 # Positive orientable unit clauses : 20 0.57/180.05 # Positive unorientable unit clauses: 0 0.57/180.05 # Negative unit clauses : 2 0.57/180.05 # Non-unit-clauses : 27 0.57/180.05 # Current number of unprocessed clauses: 166 0.57/180.05 # ...number of literals in the above : 631 0.57/180.05 # Current number of archived formulas : 0 0.57/180.05 # Current number of archived clauses : 2 0.57/180.05 # Clause-clause subsumption calls (NU) : 45 0.57/180.05 # Rec. Clause-clause subsumption calls : 41 0.57/180.05 # Non-unit clause-clause subsumptions : 5 0.57/180.05 # Unit Clause-clause subsumption calls : 11 0.57/180.05 # Rewrite failures with RHS unbound : 0 0.57/180.05 # BW rewrite match attempts : 8 0.57/180.05 # BW rewrite match successes : 2 0.57/180.05 # Condensation attempts : 0 0.57/180.05 # Condensation successes : 0 0.57/180.05 # Termbank termtop insertions : 31289 0.57/180.05 # Search garbage collected termcells : 13148 0.57/180.05 0.57/180.05 # ------------------------------------------------- 0.57/180.05 # User time : 0.035 s 0.57/180.05 # System time : 0.010 s 0.57/180.05 # Total time : 0.044 s 0.57/180.05 # Maximum resident set size: 5124 pages 0.57/180.05 0.57/180.05 # ------------------------------------------------- 0.57/180.05 # User time : 0.040 s 0.57/180.05 # System time : 0.014 s 0.57/180.05 # Total time : 0.054 s 0.57/180.05 # Maximum resident set size: 2328 pages 0.57/180.05 % E---3.1 exiting 0.57/180.05 % E exiting 0.57/180.05 EOF