0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.33 % Computer : n021.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Wed Jul 30 02:37:04 EDT 2025 0.11/0.33 % CPUTime : 0.21/0.49 Running higher-order theorem proving 0.21/0.52 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=240 /export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p 5.46/240.03 # Version: 3.0.0-ho 5.46/240.03 # Preprocessing class: HSLMSLSSLLLCHFA. 5.46/240.03 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 5.46/240.03 # Starting ehoh_best5 with 240s (1) cores 5.46/240.03 # Starting almost_fo_3_lam with 240s (1) cores 5.46/240.03 # Starting new_bool_5 with 240s (1) cores 5.46/240.03 # Starting pre_casc_3 with 240s (1) cores 5.46/240.03 # Starting ho_unfolding_8 with 240s (1) cores 5.46/240.03 # Starting new_ho_10_cnf2 with 240s (1) cores 5.46/240.03 # Starting new_bool_3 with 240s (1) cores 5.46/240.03 # Starting new_ho_5 with 240s (1) cores 5.46/240.03 # new_ho_10_cnf2 with pid 13371 completed with status 0 5.46/240.03 # Result found by new_ho_10_cnf2 5.46/240.03 # Preprocessing class: HSLMSLSSLLLCHFA. 5.46/240.03 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 5.46/240.03 # Starting ehoh_best5 with 240s (1) cores 5.46/240.03 # Starting almost_fo_3_lam with 240s (1) cores 5.46/240.03 # Starting new_bool_5 with 240s (1) cores 5.46/240.03 # Starting pre_casc_3 with 240s (1) cores 5.46/240.03 # Starting ho_unfolding_8 with 240s (1) cores 5.46/240.03 # Starting new_ho_10_cnf2 with 240s (1) cores 5.46/240.03 # No SInE strategy applied 5.46/240.03 # Search class: HGHSM-FSLS31-SHFMMSBN 5.46/240.03 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 5.46/240.03 # Starting sh3 with 130s (1) cores 5.46/240.03 # sh3 with pid 13381 completed with status 0 5.46/240.03 # Result found by sh3 5.46/240.03 # Preprocessing class: HSLMSLSSLLLCHFA. 5.46/240.03 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 5.46/240.03 # Starting ehoh_best5 with 240s (1) cores 5.46/240.03 # Starting almost_fo_3_lam with 240s (1) cores 5.46/240.03 # Starting new_bool_5 with 240s (1) cores 5.46/240.03 # Starting pre_casc_3 with 240s (1) cores 5.46/240.03 # Starting ho_unfolding_8 with 240s (1) cores 5.46/240.03 # Starting new_ho_10_cnf2 with 240s (1) cores 5.46/240.03 # No SInE strategy applied 5.46/240.03 # Search class: HGHSM-FSLS31-SHFMMSBN 5.46/240.03 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 5.46/240.03 # Starting sh3 with 130s (1) cores 5.46/240.03 # Preprocessing time : 0.004 s 5.46/240.03 # Presaturation interreduction done 5.46/240.03 5.46/240.03 # Proof found! 5.46/240.03 # SZS status Theorem 5.46/240.03 # SZS output start CNFRefutation 5.46/240.03 thf(decl_23, type, in: $i > $i > $o). 5.46/240.03 thf(decl_24, type, exu: ($i > $o) > $o). 5.46/240.03 thf(decl_25, type, setextAx: $o). 5.46/240.03 thf(decl_26, type, emptyset: $i). 5.46/240.03 thf(decl_27, type, emptysetAx: $o). 5.46/240.03 thf(decl_28, type, setadjoin: $i > $i > $i). 5.46/240.03 thf(decl_29, type, setadjoinAx: $o). 5.46/240.03 thf(decl_30, type, powerset: $i > $i). 5.46/240.03 thf(decl_31, type, powersetAx: $o). 5.46/240.03 thf(decl_32, type, setunion: $i > $i). 5.46/240.03 thf(decl_33, type, setunionAx: $o). 5.46/240.03 thf(decl_34, type, omega: $i). 5.46/240.03 thf(decl_35, type, omega0Ax: $o). 5.46/240.03 thf(decl_36, type, omegaSAx: $o). 5.46/240.03 thf(decl_37, type, omegaIndAx: $o). 5.46/240.03 thf(decl_38, type, replAx: $o). 5.46/240.03 thf(decl_39, type, foundationAx: $o). 5.46/240.03 thf(decl_40, type, wellorderingAx: $o). 5.46/240.03 thf(decl_41, type, descr: ($i > $o) > $i). 5.46/240.03 thf(decl_42, type, descrp: $o). 5.46/240.03 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i). 5.46/240.03 thf(decl_44, type, dsetconstrI: $o). 5.46/240.03 thf(decl_45, type, dsetconstrEL: $o). 5.46/240.03 thf(decl_46, type, dsetconstrER: $o). 5.46/240.03 thf(decl_47, type, exuE1: $o). 5.46/240.03 thf(decl_48, type, prop2set: $o > $i). 5.46/240.03 thf(decl_49, type, prop2setE: $o). 5.46/240.03 thf(decl_50, type, emptysetE: $o). 5.46/240.03 thf(decl_51, type, emptysetimpfalse: $o). 5.46/240.03 thf(decl_52, type, notinemptyset: $o). 5.46/240.03 thf(decl_53, type, exuE3e: $o). 5.46/240.03 thf(decl_54, type, setext: $o). 5.46/240.03 thf(decl_55, type, emptyI: $o). 5.46/240.03 thf(decl_56, type, noeltsimpempty: $o). 5.46/240.03 thf(decl_57, type, setbeta: $o). 5.46/240.03 thf(decl_58, type, nonempty: $i > $o). 5.46/240.03 thf(decl_59, type, nonemptyE1: $o). 5.46/240.03 thf(decl_60, type, nonemptyI: $o). 5.46/240.03 thf(decl_61, type, nonemptyI1: $o). 5.46/240.03 thf(decl_62, type, setadjoinIL: $o). 5.46/240.03 thf(decl_63, type, emptyinunitempty: $o). 5.46/240.03 thf(decl_64, type, setadjoinIR: $o). 5.46/240.03 thf(decl_65, type, setadjoinE: $o). 5.46/240.03 thf(decl_66, type, setadjoinOr: $o). 5.46/240.03 thf(decl_67, type, setoftrueEq: $o). 5.46/240.03 thf(decl_68, type, powersetI: $o). 5.46/240.03 thf(decl_69, type, emptyinPowerset: $o). 5.46/240.03 thf(decl_70, type, emptyInPowerset: $o). 5.46/240.03 thf(decl_71, type, powersetE: $o). 5.46/240.03 thf(decl_72, type, setunionI: $o). 5.46/240.03 thf(decl_73, type, setunionE: $o). 5.46/240.03 thf(decl_74, type, subPowSU: $o). 5.46/240.03 thf(decl_75, type, exuE2: $o). 5.46/240.03 thf(decl_76, type, nonemptyImpWitness: $o). 5.46/240.03 thf(decl_77, type, uniqinunit: $o). 5.46/240.03 thf(decl_78, type, notinsingleton: $o). 5.46/240.03 thf(decl_79, type, eqinunit: $o). 5.46/240.03 thf(decl_80, type, singletonsswitch: $o). 5.46/240.03 thf(decl_81, type, upairsetE: $o). 5.46/240.03 thf(decl_82, type, upairsetIL: $o). 5.46/240.03 thf(decl_83, type, upairsetIR: $o). 5.46/240.03 thf(decl_84, type, emptyE1: $o). 5.46/240.03 thf(decl_85, type, vacuousDall: $o). 5.46/240.03 thf(decl_86, type, quantDeMorgan1: $o). 5.46/240.03 thf(decl_87, type, quantDeMorgan2: $o). 5.46/240.03 thf(decl_88, type, quantDeMorgan3: $o). 5.46/240.03 thf(decl_89, type, quantDeMorgan4: $o). 5.46/240.03 thf(decl_90, type, prop2setI: $o). 5.46/240.03 thf(decl_91, type, set2prop: $i > $o). 5.46/240.03 thf(decl_92, type, prop2set2propI: $o). 5.46/240.03 thf(decl_93, type, notdexE: $o). 5.46/240.03 thf(decl_94, type, notdallE: $o). 5.46/240.03 thf(decl_95, type, exuI1: $o). 5.46/240.03 thf(decl_96, type, exuI3: $o). 5.46/240.03 thf(decl_97, type, exuI2: $o). 5.46/240.03 thf(decl_98, type, inCongP: $o). 5.46/240.03 thf(decl_99, type, in__Cong: $o). 5.46/240.03 thf(decl_100, type, exuE3u: $o). 5.46/240.03 thf(decl_101, type, exu__Cong: $o). 5.46/240.03 thf(decl_102, type, emptyset__Cong: $o). 5.46/240.03 thf(decl_103, type, setadjoin__Cong: $o). 5.46/240.03 thf(decl_104, type, powerset__Cong: $o). 5.46/240.03 thf(decl_105, type, setunion__Cong: $o). 5.46/240.03 thf(decl_106, type, omega__Cong: $o). 5.46/240.03 thf(decl_107, type, exuEu: $o). 5.46/240.03 thf(decl_108, type, descr__Cong: $o). 5.46/240.03 thf(decl_109, type, dsetconstr__Cong: $o). 5.46/240.03 thf(decl_110, type, subset: $i > $i > $o). 5.46/240.03 thf(decl_113, type, subsetI1: $o). 5.46/240.03 thf(decl_114, type, eqimpsubset2: $o). 5.46/240.03 thf(decl_115, type, eqimpsubset1: $o). 5.46/240.03 thf(decl_116, type, subsetI2: $o). 5.46/240.03 thf(decl_117, type, emptysetsubset: $o). 5.46/240.03 thf(decl_118, type, subsetE: $o). 5.46/240.03 thf(decl_119, type, subsetE2: $o). 5.46/240.03 thf(decl_120, type, notsubsetI: $o). 5.46/240.03 thf(decl_121, type, notequalI1: $o). 5.46/240.03 thf(decl_122, type, notequalI2: $o). 5.46/240.03 thf(decl_123, type, subsetRefl: $o). 5.46/240.03 thf(decl_124, type, subsetTrans: $o). 5.46/240.03 thf(decl_125, type, setadjoinSub: $o). 5.46/240.03 thf(decl_126, type, setadjoinSub2: $o). 5.46/240.03 thf(decl_127, type, subset2powerset: $o). 5.46/240.03 thf(decl_128, type, setextsub: $o). 5.46/240.03 thf(decl_129, type, subsetemptysetimpeq: $o). 5.46/240.03 thf(decl_130, type, powersetI1: $o). 5.46/240.03 thf(decl_131, type, powersetE1: $o). 5.46/240.03 thf(decl_132, type, inPowerset: $o). 5.46/240.03 thf(decl_133, type, powersetsubset: $o). 5.46/240.03 thf(decl_134, type, sepInPowerset: $o). 5.46/240.03 thf(decl_135, type, sepSubset: $o). 5.46/240.03 thf(decl_136, type, binunion: $i > $i > $i). 5.46/240.03 thf(decl_137, type, binunionIL: $o). 5.46/240.03 thf(decl_138, type, upairset2IR: $o). 5.46/240.03 thf(decl_139, type, binunionIR: $o). 5.46/240.03 thf(decl_140, type, binunionEcases: $o). 5.46/240.03 thf(decl_141, type, binunionE: $o). 5.46/240.03 thf(decl_142, type, binunionLsub: $o). 5.46/240.03 thf(decl_143, type, binunionRsub: $o). 5.46/240.03 thf(decl_144, type, binintersect: $i > $i > $i). 5.46/240.03 thf(decl_145, type, binintersectI: $o). 5.46/240.03 thf(decl_146, type, binintersectSubset5: $o). 5.46/240.03 thf(decl_147, type, binintersectEL: $o). 5.46/240.03 thf(decl_148, type, binintersectLsub: $o). 5.46/240.03 thf(decl_149, type, binintersectSubset2: $o). 5.46/240.03 thf(decl_150, type, binintersectSubset3: $o). 5.46/240.03 thf(decl_151, type, binintersectER: $o). 5.46/240.03 thf(decl_152, type, disjointsetsI1: $o). 5.46/240.03 thf(decl_153, type, epred1_0: $o). 5.46/240.03 thf(decl_154, type, esk1_2: $i > $i > $i). 5.46/240.03 thf(decl_155, type, esk2_2: $i > $i > $i). 5.46/240.03 thf(decl_156, type, esk3_2: $i > $i > $i). 5.46/240.03 thf(decl_157, type, esk4_1: $i > $i). 5.46/240.03 thf(decl_158, type, esk5_2: ($i > $i > $o) > $i > $i). 5.46/240.03 thf(decl_159, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 5.46/240.03 thf(decl_160, type, esk7_2: ($i > $i > $o) > $i > $i). 5.46/240.03 thf(decl_161, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 5.46/240.03 thf(decl_162, type, esk9_1: $i > $i). 5.46/240.03 thf(decl_163, type, esk10_2: ($i > $o) > $i > $i). 5.46/240.03 thf(decl_164, type, esk11_2: ($i > $o) > $i > $i). 5.46/240.03 thf(decl_165, type, esk12_1: ($i > $o) > $i). 5.46/240.03 thf(decl_166, type, esk13_2: ($i > $o) > $i > $i). 5.46/240.03 thf(decl_167, type, esk14_1: ($i > $o) > $i). 5.46/240.03 thf(decl_168, type, esk15_2: $i > $i > $i). 5.46/240.03 thf(decl_169, type, esk16_2: $i > $i > $i). 5.46/240.03 thf(decl_170, type, esk17_1: $i > $i). 5.46/240.03 thf(decl_171, type, esk18_1: $i > $i). 5.46/240.03 thf(decl_172, type, esk19_1: $i > $i). 5.46/240.03 thf(decl_173, type, esk20_2: $i > $i > $i). 5.46/240.03 thf(decl_174, type, esk21_3: $i > $i > $o > $i). 5.46/240.03 thf(decl_175, type, esk22_2: ($i > $o) > $i > $i). 5.46/240.03 thf(decl_176, type, esk23_1: ($i > $o) > $i). 5.46/240.03 thf(decl_177, type, esk24_1: $i > $i). 5.46/240.03 thf(decl_178, type, esk25_2: $i > ($i > $o) > $i). 5.46/240.03 thf(decl_179, type, esk26_2: $i > ($i > $o) > $i). 5.46/240.03 thf(decl_180, type, esk27_2: $i > ($i > $o) > $i). 5.46/240.03 thf(decl_181, type, esk28_2: $i > ($i > $o) > $i). 5.46/240.03 thf(decl_182, type, esk29_2: $i > ($i > $o) > $i). 5.46/240.03 thf(decl_183, type, esk30_2: $i > ($i > $o) > $i). 5.46/240.03 thf(decl_184, type, esk31_2: ($i > $o) > $i > $i). 5.46/240.03 thf(decl_185, type, esk32_1: ($i > $o) > $i). 5.46/240.03 thf(decl_186, type, esk33_1: ($i > $o) > $i). 5.46/240.03 thf(decl_187, type, esk34_1: ($i > $o) > $i). 5.46/240.03 thf(decl_188, type, esk35_1: ($i > $o) > $i). 5.46/240.03 thf(decl_189, type, esk36_2: ($i > $o) > $i > $i). 5.46/240.03 thf(decl_190, type, esk37_1: ($i > $o) > $i). 5.46/240.03 thf(decl_191, type, esk38_2: ($i > $o) > $i > $i). 5.46/240.03 thf(decl_192, type, esk39_2: ($i > $o) > ($i > $o) > $i). 5.46/240.03 thf(decl_193, type, esk40_2: ($i > $o) > ($i > $o) > $i). 5.46/240.03 thf(decl_194, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 5.46/240.03 thf(decl_195, type, esk42_2: ($i > $o) > ($i > $o) > $i). 5.46/240.03 thf(decl_196, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 5.46/240.03 thf(decl_197, type, esk44_2: ($i > $o) > ($i > $o) > $i). 5.46/240.03 thf(decl_198, type, esk45_2: ($i > $o) > $i > $i). 5.46/240.03 thf(decl_199, type, esk46_2: ($i > $o) > ($i > $o) > $i). 5.46/240.03 thf(decl_200, type, esk47_2: ($i > $o) > ($i > $o) > $i). 5.46/240.03 thf(decl_201, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 5.46/240.03 thf(decl_202, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 5.46/240.03 thf(decl_203, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 5.46/240.03 thf(decl_204, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 5.46/240.03 thf(decl_205, type, esk52_2: $i > $i > $i). 5.46/240.03 thf(decl_206, type, esk53_2: $i > $i > $i). 5.46/240.03 thf(decl_207, type, esk54_2: $i > $i > $i). 5.46/240.03 thf(decl_208, type, esk55_0: $i). 5.46/240.03 thf(decl_209, type, esk56_0: $i). 5.46/240.03 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', replAx)). 5.46/240.03 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exu)). 5.46/240.03 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', descrp)). 5.46/240.03 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exuE1)). 5.46/240.03 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exuE3e)). 5.46/240.03 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', nonempty)). 5.46/240.03 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', nonemptyI)). 5.46/240.03 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exuE2)). 5.46/240.03 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/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exuI1)). 5.46/240.03 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exuI3)). 5.46/240.03 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exuI2)). 5.46/240.03 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/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exuE3u)). 5.46/240.03 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exu__Cong)). 5.46/240.03 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', exuEu)). 5.46/240.03 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', descr__Cong)). 5.46/240.03 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', dsetconstrI)). 5.46/240.03 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', dsetconstrEL)). 5.46/240.03 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', dsetconstrER)). 5.46/240.03 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setbeta)). 5.46/240.03 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', nonemptyE1)). 5.46/240.03 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', nonemptyI1)). 5.46/240.03 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setoftrueEq)). 5.46/240.03 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', nonemptyImpWitness)). 5.46/240.03 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptyE1)). 5.46/240.03 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', dsetconstr__Cong)). 5.46/240.03 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', sepInPowerset)). 5.46/240.03 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', sepSubset)). 5.46/240.03 thf(binintersectRsub, conjecture, ((setextAx)=>((emptysetAx)=>(((powersetAx)=>(((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>(((foundationAx)=>(((((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>(((emptysetE)=>((((exuE3e)=>((((noeltsimpempty)=>((setbeta)=>(((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((((((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((((((((upairsetE)=>((upairsetIL)=>(((emptyE1)=>((((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>(((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>(((exuI2)=>(((in__Cong)=>(((((setadjoin__Cong)=>(((((exuEu)=>(((dsetconstr__Cong)=>(((((subsetI2)=>(((subsetE)=>((subsetE2)=>(((((subsetRefl)=>(((setadjoinSub)=>((setadjoinSub2)=>(((setextsub)=>(((((inPowerset)=>(((((binunionIL)=>(((((binunionE)=>(((binunionRsub)=>((((binintersectEL)=>(((binintersectSubset2)=>(((![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))<=(disjointsetsI1))<=(binintersectER))<=(binintersectSubset3)))<=(binintersectLsub)))<=(binintersectSubset5))<=(binintersectI)))<=(binunionLsub)))<=(binunionEcases))<=(binunionIR))<=(upairset2IR)))<=(sepSubset))<=(sepInPowerset))<=(powersetsubset)))<=(powersetE1))<=(powersetI1))<=(subsetemptysetimpeq)))<=(subset2powerset))))<=(subsetTrans)))<=(notequalI2))<=(notequalI1))<=(notsubsetI))))<=(emptysetsubset)))<=(eqimpsubset1))<=(eqimpsubset2))<=(subsetI1)))<=(descr__Cong)))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong)))<=(emptyset__Cong))<=(exu__Cong))<=(exuE3u)))<=(inCongP)))<=(exuI3))))))<=(prop2setI)))))<=(quantDeMorgan1))<=(vacuousDall)))<=(upairsetIR))))<=(singletonsswitch))<=(eqinunit))<=(notinsingleton))<=(uniqinunit))<=(nonemptyImpWitness))<=(exuE2))))))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI))<=(setoftrueEq)))))))))<=(nonemptyE1))))<=(emptyI))<=(setext)))<=(notinemptyset))<=(emptysetimpfalse)))<=(prop2setE)))))<=(dsetconstrI))<=(descrp))<=(wellorderingAx)))<=(replAx)))))<=(setunionAx)))<=(setadjoinAx)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binintersectRsub)). 5.46/240.03 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setextAx)). 5.46/240.03 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptysetAx)). 5.46/240.03 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setadjoinAx)). 5.46/240.03 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', powersetAx)). 5.46/240.03 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setunionAx)). 5.46/240.03 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', omega0Ax)). 5.46/240.03 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', omegaSAx)). 5.46/240.03 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', omegaIndAx)). 5.46/240.03 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', foundationAx)). 5.46/240.03 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', wellorderingAx)). 5.46/240.03 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', prop2setE)). 5.46/240.03 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptysetE)). 5.46/240.03 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptysetimpfalse)). 5.46/240.03 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', notinemptyset)). 5.46/240.03 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setext)). 5.46/240.03 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptyI)). 5.46/240.03 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', noeltsimpempty)). 5.46/240.03 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setadjoinIL)). 5.46/240.03 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptyinunitempty)). 5.46/240.03 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setadjoinIR)). 5.46/240.03 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/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setadjoinE)). 5.46/240.03 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setadjoinOr)). 5.46/240.03 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', powersetI)). 5.46/240.03 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptyinPowerset)). 5.46/240.03 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptyInPowerset)). 5.46/240.03 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', powersetE)). 5.46/240.03 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setunionI)). 5.46/240.03 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/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setunionE)). 5.46/240.03 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', subPowSU)). 5.46/240.03 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', uniqinunit)). 5.46/240.03 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', notinsingleton)). 5.46/240.03 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', eqinunit)). 5.46/240.03 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', singletonsswitch)). 5.46/240.03 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', upairsetE)). 5.46/240.03 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', upairsetIL)). 5.46/240.03 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', upairsetIR)). 5.46/240.03 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', vacuousDall)). 5.46/240.03 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', quantDeMorgan1)). 5.46/240.03 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', quantDeMorgan2)). 5.46/240.03 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', quantDeMorgan3)). 5.46/240.03 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', quantDeMorgan4)). 5.46/240.03 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', prop2setI)). 5.46/240.03 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', prop2set2propI)). 5.46/240.03 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', notdexE)). 5.46/240.03 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', notdallE)). 5.46/240.03 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', inCongP)). 5.46/240.03 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', in__Cong)). 5.46/240.03 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptyset__Cong)). 5.46/240.03 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setadjoin__Cong)). 5.46/240.03 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', powerset__Cong)). 5.46/240.03 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setunion__Cong)). 5.46/240.03 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', omega__Cong)). 5.46/240.03 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', subsetI1)). 5.46/240.03 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', eqimpsubset2)). 5.46/240.03 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', eqimpsubset1)). 5.46/240.03 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', subsetI2)). 5.46/240.04 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', emptysetsubset)). 5.46/240.04 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', subsetE)). 5.46/240.04 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', subsetE2)). 5.46/240.04 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', notsubsetI)). 5.46/240.04 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', notequalI1)). 5.46/240.04 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', notequalI2)). 5.46/240.04 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', subsetRefl)). 5.46/240.04 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', subsetTrans)). 5.46/240.04 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setadjoinSub)). 5.46/240.04 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setadjoinSub2)). 5.46/240.04 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', subset2powerset)). 5.46/240.04 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', setextsub)). 5.46/240.04 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', subsetemptysetimpeq)). 5.46/240.04 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', powersetI1)). 5.46/240.04 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', powersetE1)). 5.46/240.04 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', inPowerset)). 5.46/240.04 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', powersetsubset)). 5.46/240.04 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binunionIL)). 5.46/240.04 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', upairset2IR)). 5.46/240.04 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binunionIR)). 5.46/240.04 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binunionEcases)). 5.46/240.04 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binunionE)). 5.46/240.04 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binunionLsub)). 5.46/240.04 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binunionRsub)). 5.46/240.04 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binintersectI)). 5.46/240.04 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binintersectSubset5)). 5.46/240.04 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binintersectEL)). 5.46/240.04 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binintersectLsub)). 5.46/240.04 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binintersectSubset2)). 5.46/240.04 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binintersectSubset3)). 5.46/240.04 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', binintersectER)). 5.46/240.04 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.qi9yto3WbV/E---3.1_13279.p', disjointsetsI1)). 5.46/240.04 thf(c_0_116, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 5.46/240.04 thf(c_0_117, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 5.46/240.04 thf(c_0_118, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 5.46/240.04 thf(c_0_119, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 5.46/240.04 thf(c_0_120, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 5.46/240.04 thf(c_0_121, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 5.46/240.04 thf(c_0_122, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 5.46/240.04 thf(c_0_123, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 5.46/240.04 thf(c_0_124, 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])). 5.46/240.04 thf(c_0_125, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 5.46/240.04 thf(c_0_126, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 5.46/240.04 thf(c_0_127, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 5.46/240.04 thf(c_0_128, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 5.46/240.04 thf(c_0_129, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 5.46/240.04 thf(c_0_130, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 5.46/240.04 thf(c_0_131, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X324:$i]:((((X6 @ X2 @ X324))&![X325:$i]:((((X6 @ X2 @ X325))=>((X324)=(X325)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_116, c_0_117])). 5.46/240.04 thf(c_0_132, plain, ((descrp)=(![X1:$i > $o]:(((?[X326:$i]:((((X1 @ X326))&![X327:$i]:((((X1 @ X327))=>((X326)=(X327)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_118, c_0_117])). 5.46/240.04 thf(c_0_133, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 5.46/240.04 thf(c_0_134, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 5.46/240.04 thf(c_0_135, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 5.46/240.04 thf(c_0_136, plain, ((exuE1)=(![X1:$i > $o]:(((?[X328:$i]:((((X1 @ X328))&![X329:$i]:((((X1 @ X329))=>((X328)=(X329)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_119, c_0_117])). 5.46/240.04 thf(c_0_137, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X330:$i]:((((X1 @ X330))&![X331:$i]:((((X1 @ X331))=>((X330)=(X331)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_120, c_0_117])). 5.46/240.04 thf(c_0_138, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 5.46/240.04 thf(c_0_139, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_121])). 5.46/240.04 thf(c_0_140, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_122, c_0_121])). 5.46/240.04 thf(c_0_141, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_121])). 5.46/240.04 thf(c_0_142, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 5.46/240.04 thf(c_0_143, plain, ((exuE2)=(![X1:$i > $o]:(((?[X332:$i]:((((X1 @ X332))&![X333:$i]:((((X1 @ X333))=>((X332)=(X333)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_123, c_0_117])). 5.46/240.04 thf(c_0_144, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_121])). 5.46/240.04 thf(c_0_145, 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])). 5.46/240.04 thf(c_0_146, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X334:$i]:((((X1 @ X334))&![X335:$i]:((((X1 @ X335))=>((X334)=(X335))))))))))), inference(apply_def,[status(thm)],[c_0_124, c_0_117])). 5.46/240.04 thf(c_0_147, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X336:$i]:((((X1 @ X336))&![X337:$i]:((((X1 @ X337))=>((X336)=(X337)))))))))))), inference(apply_def,[status(thm)],[c_0_125, c_0_117])). 5.46/240.04 thf(c_0_148, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X338:$i]:((((X1 @ X338))&![X339:$i]:((((X1 @ X339))=>((X338)=(X339))))))))))), inference(apply_def,[status(thm)],[c_0_126, c_0_117])). 5.46/240.04 thf(c_0_149, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X340:$i]:((((X1 @ X340))&![X341:$i]:((((X1 @ X341))=>((X340)=(X341)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_127, c_0_117])). 5.46/240.04 thf(c_0_150, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X342:$i]:((((X1 @ X342))&![X343:$i]:((((X1 @ X343))=>((X342)=(X343)))))))<=>(?[X344:$i]:((((X17 @ X344))&![X345:$i]:((((X17 @ X345))=>((X344)=(X345)))))))))))), inference(apply_def,[status(thm)],[c_0_128, c_0_117])). 5.46/240.04 thf(c_0_151, plain, ((exuEu)=(![X1:$i > $o]:(((?[X346:$i]:((((X1 @ X346))&![X347:$i]:((((X1 @ X347))=>((X346)=(X347)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_129, c_0_117])). 5.46/240.04 thf(c_0_152, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X348:$i]:((((X1 @ X348))&![X349:$i]:((((X1 @ X349))=>((X348)=(X349)))))))=>((?[X350:$i]:((((X17 @ X350))&![X351:$i]:((((X17 @ X351))=>((X350)=(X351)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_130, c_0_117])). 5.46/240.04 thf(c_0_153, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 5.46/240.04 thf(c_0_154, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 5.46/240.04 thf(c_0_155, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 5.46/240.04 thf(c_0_156, plain, ((epred1_0)<=>![X649:$i]:(?[X650:$i]:((((![X651:$i]:(((in @ X651 @ X650)=>![X652:$i]:(((in @ X652 @ X651)=>(in @ X652 @ X649)))))&![X653:$i, X654:$i]:((((in @ X653 @ X649)&(in @ X654 @ X649))=>(![X655:$i]:(((in @ X655 @ X650)=>((in @ X653 @ X655)<=>(in @ X654 @ X655))))=>((X653)=(X654))))))&![X656:$i, X657:$i]:((((in @ X656 @ X650)&(in @ X657 @ X650))=>(![X658:$i]:(((in @ X658 @ X656)=>(in @ X658 @ X657)))|![X659:$i]:(((in @ X659 @ X657)=>(in @ X659 @ X656)))))))&![X660:$i]:(((![X661:$i]:(((in @ X661 @ X660)=>(in @ X661 @ X649)))&?[X662:$i]:((in @ X662 @ X660)))=>?[X663:$i, X664:$i]:(((((in @ X663 @ X650)&(in @ X664 @ X660))&~(?[X665:$i]:(((in @ X665 @ X663)&(in @ X665 @ X660)))))&![X666:$i]:(((in @ X666 @ X650)=>(![X667:$i]:(((in @ X667 @ X666)=>(in @ X667 @ X663)))|(in @ X664 @ X666)))))))))))), introduced(definition)). 5.46/240.04 thf(c_0_157, negated_conjecture, ~((![X352:$i, X353:$i]:((![X354:$i]:(((in @ X354 @ X352)<=>(in @ X354 @ X353)))=>((X352)=(X353))))=>(![X355:$i]:(~(in @ X355 @ emptyset))=>(![X679:$i, X680:$i, X681:$i]:(((in @ X681 @ (setadjoin @ X679 @ X680))<=>(((X681)=(X679))|(in @ X681 @ X680))))=>(![X356:$i, X357:$i]:(((in @ X357 @ (powerset @ X356))<=>![X358:$i]:(((in @ X358 @ X357)=>(in @ X358 @ X356)))))=>(![X676:$i, X677:$i]:(((in @ X677 @ (setunion @ X676))<=>?[X678:$i]:(((in @ X677 @ X678)&(in @ X678 @ X676)))))=>((in @ emptyset @ omega)=>(![X359:$i]:(((in @ X359 @ omega)=>(in @ (setadjoin @ X359 @ X359) @ omega)))=>(![X360:$i]:((((in @ emptyset @ X360)&![X361:$i]:((((in @ X361 @ omega)&(in @ X361 @ X360))=>(in @ (setadjoin @ X361 @ X361) @ X360))))=>![X362:$i]:(((in @ X362 @ omega)=>(in @ X362 @ X360)))))=>(![X668:$i > $i > $o, X669:$i]:((![X670:$i]:(((in @ X670 @ X669)=>?[X671:$i]:(((X668 @ X670 @ X671)&![X672:$i]:(((X668 @ X670 @ X672)=>((X671)=(X672))))))))=>?[X673:$i]:(![X674:$i]:(((in @ X674 @ X673)<=>?[X675:$i]:(((in @ X675 @ X669)&(X668 @ X675 @ X674))))))))=>(![X363:$i]:((?[X364:$i]:((in @ X364 @ X363))=>?[X365:$i]:(((in @ X365 @ X363)&~(?[X366:$i]:(((in @ X366 @ X365)&(in @ X366 @ X363))))))))=>((epred1_0)=>(![X646:$i > $o]:((?[X647:$i]:(((X646 @ X647)&![X648:$i]:(((X646 @ X648)=>((X647)=(X648))))))=>(X646 @ (descr @ (^[Z0/* 17 */:$i]:(X646 @ Z0))))))=>(![X643:$i, X644:$i > $o, X645:$i]:(((in @ X645 @ X643)=>((X644 @ X645)=>(in @ X645 @ (dsetconstr @ X643 @ X644)))))=>(![X367:$i, X368:$i > $o, X369:$i]:(((in @ X369 @ (dsetconstr @ X367 @ X368))=>(in @ X369 @ X367)))=>(![X370:$i, X371:$i > $o, X372:$i]:(((in @ X372 @ (dsetconstr @ X370 @ X371))=>(X371 @ X372)))=>(![X373:$i > $o]:((?[X374:$i]:(((X373 @ X374)&![X375:$i]:(((X373 @ X375)=>((X374)=(X375))))))=>?[X376:$i]:(((X373 @ X376)&![X377:$i]:(((X373 @ X377)=>((X376)=(X377))))))))=>(![X641:$o, X642:$i]:(((in @ X642 @ (prop2set @ ((X641))))=>(X641)))=>(![X378:$i]:(((in @ X378 @ emptyset)=>![X379:$o]:((X379))))=>(![X640:$i]:(((in @ X640 @ emptyset)=>~($true)))=>(![X639:$i]:(~(in @ X639 @ emptyset))=>(![X380:$i > $o]:((?[X381:$i]:(((X380 @ X381)&![X382:$i]:(((X380 @ X382)=>((X381)=(X382))))))=>?[X383:$i]:((X380 @ X383))))=>(![X635:$i, X636:$i]:((![X637:$i]:(((in @ X637 @ X635)=>(in @ X637 @ X636)))=>(![X638:$i]:(((in @ X638 @ X636)=>(in @ X638 @ X635)))=>((X635)=(X636)))))=>(![X633:$i]:((![X634:$i]:(~(in @ X634 @ X633))=>((X633)=(emptyset))))=>(![X384:$i]:((![X385:$i]:(~(in @ X385 @ X384))=>((X384)=(emptyset))))=>(![X386:$i, X387:$i > $o, X388:$i]:(((in @ X388 @ X386)=>((in @ X388 @ (dsetconstr @ X386 @ X387))<=>(X387 @ X388))))=>(![X631:$i]:((((X631)!=(emptyset))=>?[X632:$i]:((in @ X632 @ X631))))=>(![X389:$i, X390:$i > $o, X391:$i]:(((in @ X391 @ X389)=>((X390 @ X391)=>((dsetconstr @ X389 @ X390)!=(emptyset)))))=>(![X392:$i]:((?[X393:$i]:((in @ X393 @ X392))=>((X392)!=(emptyset))))=>(![X394:$i, X395:$i]:((in @ X394 @ (setadjoin @ X394 @ X395)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X396:$i, X397:$i, X398:$i]:(((in @ X398 @ X397)=>(in @ X398 @ (setadjoin @ X396 @ X397))))=>(![X399:$i, X400:$i, X401:$i]:(((in @ X401 @ (setadjoin @ X399 @ X400))=>![X402:$o]:(((((X401)=(X399))=>(X402))=>(((in @ X401 @ X400)=>(X402))=>(X402))))))=>(![X403:$i, X404:$i, X405:$i]:(((in @ X405 @ (setadjoin @ X403 @ X404))=>(((X405)=(X403))|(in @ X405 @ X404))))=>(![X630:$i]:(((dsetconstr @ X630 @ (^[Z0/* 1 */:$i]:($true)))=(X630)))=>(![X627:$i, X628:$i]:((![X629:$i]:(((in @ X629 @ X628)=>(in @ X629 @ X627)))=>(in @ X628 @ (powerset @ X627))))=>(![X626:$i]:((in @ emptyset @ (powerset @ X626)))=>(![X625:$i]:((in @ emptyset @ (powerset @ X625)))=>(![X406:$i, X407:$i, X408:$i]:(((in @ X407 @ (powerset @ X406))=>((in @ X408 @ X407)=>(in @ X408 @ X406))))=>(![X409:$i, X410:$i, X411:$i]:(((in @ X410 @ X411)=>((in @ X411 @ X409)=>(in @ X410 @ (setunion @ X409)))))=>(![X412:$i, X413:$i]:(((in @ X413 @ (setunion @ X412))=>![X414:$o]:((![X415:$i]:(((in @ X413 @ X415)=>((in @ X415 @ X412)=>(X414))))=>(X414)))))=>(![X416:$i, X417:$i]:(((in @ X417 @ X416)=>(in @ X417 @ (powerset @ (setunion @ X416)))))=>(![X620:$i > $o]:((?[X621:$i]:(((X620 @ X621)&![X622:$i]:(((X620 @ X622)=>((X621)=(X622))))))=>?[X623:$i]:(![X624:$i]:(((X620 @ X624)<=>((X624)=(X623)))))))=>(![X618:$i]:((((X618)!=(emptyset))=>?[X619:$i]:(((in @ X619 @ X618)&$true))))=>(![X616:$i, X617:$i]:(((in @ X616 @ (setadjoin @ X617 @ emptyset))=>((X616)=(X617))))=>(![X614:$i, X615:$i]:((((X614)!=(X615))=>~(in @ X615 @ (setadjoin @ X614 @ emptyset))))=>(![X612:$i, X613:$i]:((((X612)=(X613))=>(in @ X612 @ (setadjoin @ X613 @ emptyset))))=>(![X610:$i, X611:$i]:(((in @ X610 @ (setadjoin @ X611 @ emptyset))=>(in @ X611 @ (setadjoin @ X610 @ emptyset))))=>(![X418:$i, X419:$i, X420:$i]:(((in @ X420 @ (setadjoin @ X418 @ (setadjoin @ X419 @ emptyset)))=>(((X420)=(X418))|((X420)=(X419)))))=>(![X421:$i, X422:$i]:((in @ X421 @ (setadjoin @ X421 @ (setadjoin @ X422 @ emptyset))))=>(![X608:$i, X609:$i]:((in @ X609 @ (setadjoin @ X608 @ (setadjoin @ X609 @ emptyset))))=>(![X423:$i, X424:$i > $o]:((?[X425:$i]:(((in @ X425 @ X423)&(X424 @ X425)))=>(((dsetconstr @ X423 @ X424)=(emptyset))=>~($true))))=>(![X606:$i > $o, X607:$i]:(((in @ X607 @ emptyset)=>(X606 @ 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X580)<=>(X579 @ X581))))=>(?[X582:$i]:(((X578 @ X582)&![X583:$i]:(((X578 @ X583)=>((X582)=(X583))))))<=>?[X584:$i]:(((X579 @ X584)&![X585:$i]:(((X579 @ X585)=>((X584)=(X585)))))))))=>(((emptyset)=(emptyset))=>(![X461:$i, X462:$i]:((((X461)=(X462))=>![X463:$i, X464:$i]:((((X463)=(X464))=>((setadjoin @ X461 @ X463)=(setadjoin @ X462 @ X464))))))=>(![X576:$i, X577:$i]:((((X576)=(X577))=>((powerset @ X576)=(powerset @ X577))))=>(![X574:$i, X575:$i]:((((X574)=(X575))=>((setunion @ X574)=(setunion @ X575))))=>(((omega)=(omega))=>(![X465:$i > $o]:((?[X466:$i]:(((X465 @ X466)&![X467:$i]:(((X465 @ X467)=>((X466)=(X467))))))=>![X468:$i, X469:$i]:(((X465 @ X468)=>((X465 @ X469)=>((X468)=(X469)))))))=>(![X566:$i > $o, X567:$i > $o]:((![X568:$i, X569:$i]:((((X568)=(X569))=>((X566 @ X568)<=>(X567 @ X569))))=>(?[X570:$i]:(((X566 @ X570)&![X571:$i]:(((X566 @ X571)=>((X570)=(X571))))))=>(?[X572:$i]:(((X567 @ X572)&![X573:$i]:(((X567 @ X573)=>((X572)=(X573))))))=>((descr @ X566)=(descr @ X567))))))=>(![X470:$i, X471:$i]:((((X470)=(X471))=>![X472:$i > $o, X473:$i > $o]:((![X474:$i]:(((in @ X474 @ X470)=>![X475:$i]:(((in @ X475 @ X471)=>(((X474)=(X475))=>((X472 @ X474)<=>(X473 @ X475)))))))=>((dsetconstr @ X470 @ X472)=(dsetconstr @ X471 @ X473))))))=>(![X563:$i, X564:$i]:((![X565:$i]:(((in @ X565 @ X563)=>(in @ X565 @ X564)))=>(subset @ X563 @ X564)))=>(![X561:$i, X562:$i]:((((X561)=(X562))=>(subset @ X562 @ X561)))=>(![X559:$i, X560:$i]:((((X559)=(X560))=>(subset @ X559 @ X560)))=>(![X476:$i, X477:$i]:((![X478:$i]:(((in @ X478 @ X476)=>(in @ X478 @ X477)))=>(subset @ X476 @ X477)))=>(![X558:$i]:((subset @ emptyset @ X558))=>(![X479:$i, X480:$i, X481:$i]:(((subset @ X479 @ X480)=>((in @ X481 @ X479)=>(in @ X481 @ X480))))=>(![X482:$i, X483:$i, X484:$i]:(((subset @ X482 @ X483)=>(~(in @ X484 @ X483)=>~(in @ X484 @ X482))))=>(![X555:$i, X556:$i, X557:$i]:(((in @ X557 @ X555)=>(~(in @ X557 @ X556)=>~(subset @ X555 @ X556))))=>(![X553:$i, X554:$i]:((~(subset @ X553 @ X554)=>((X553)!=(X554))))=>(![X550:$i, X551:$i, X552:$i]:(((in @ X552 @ X550)=>(~(in @ X552 @ X551)=>((X550)!=(X551)))))=>(![X485:$i]:((subset @ X485 @ X485))=>(![X547:$i, X548:$i, X549:$i]:(((subset @ X547 @ X548)=>((subset @ X548 @ X549)=>(subset @ X547 @ X549))))=>(![X486:$i, X487:$i]:((subset @ X487 @ (setadjoin @ X486 @ X487)))=>(![X488:$i, X489:$i, X490:$i]:(((subset @ X488 @ X490)=>(subset @ X488 @ (setadjoin @ X489 @ X490))))=>(![X545:$i, X546:$i]:(((subset @ X545 @ X546)=>(in @ X545 @ (powerset @ X546))))=>(![X491:$i, X492:$i]:(((subset @ X491 @ X492)=>((subset @ X492 @ X491)=>((X491)=(X492)))))=>(![X544:$i]:(((subset @ X544 @ emptyset)=>((X544)=(emptyset))))=>(![X542:$i, X543:$i]:(((subset @ X543 @ X542)=>(in @ X543 @ (powerset @ X542))))=>(![X540:$i, X541:$i]:(((in @ X541 @ (powerset @ X540))=>(subset @ X541 @ X540)))=>(![X493:$i]:((in @ X493 @ (powerset @ X493)))=>(![X538:$i, X539:$i]:(((subset @ X538 @ X539)=>(subset @ (powerset @ X538) @ (powerset @ X539))))=>(![X536:$i, X537:$i > $o]:((in @ (dsetconstr @ X536 @ X537) @ (powerset @ X536)))=>(![X534:$i, X535:$i > $o]:((subset @ (dsetconstr @ X534 @ X535) @ X534))=>(![X494:$i, X495:$i, X496:$i]:(((in @ X496 @ X494)=>(in @ X496 @ (binunion @ X494 @ X495))))=>(![X532:$i, X533:$i]:((in @ X533 @ (setadjoin @ X532 @ (setadjoin @ X533 @ emptyset))))=>(![X529:$i, X530:$i, X531:$i]:(((in @ X531 @ X530)=>(in @ X531 @ (binunion @ X529 @ X530))))=>(![X525:$i, X526:$i, X527:$i, X528:$o]:(((in @ X527 @ (binunion @ X525 @ X526))=>(((in @ X527 @ X525)=>(X528))=>(((in @ X527 @ X526)=>(X528))=>(X528)))))=>(![X497:$i, X498:$i, X499:$i]:(((in @ X499 @ (binunion @ X497 @ X498))=>((in @ X499 @ X497)|(in @ X499 @ X498))))=>(![X523:$i, X524:$i]:((subset @ X523 @ (binunion @ X523 @ X524)))=>(![X500:$i, X501:$i]:((subset @ X501 @ (binunion @ X500 @ X501)))=>(![X520:$i, X521:$i, X522:$i]:(((in @ X522 @ X520)=>((in @ X522 @ X521)=>(in @ X522 @ (binintersect @ X520 @ X521)))))=>(![X517:$i, X518:$i, X519:$i]:(((subset @ X519 @ X517)=>((subset @ X519 @ X518)=>(subset @ X519 @ (binintersect @ X517 @ X518)))))=>(![X502:$i, X503:$i, X504:$i]:(((in @ X504 @ (binintersect @ X502 @ X503))=>(in @ X504 @ X502)))=>(![X515:$i, X516:$i]:((subset @ (binintersect @ X515 @ X516) @ X515))=>(![X505:$i, X506:$i]:(((subset @ X505 @ X506)=>((binintersect @ X505 @ X506)=(X505))))=>(![X513:$i, X514:$i]:((((binintersect @ X513 @ X514)=(X514))=>(subset @ X514 @ X513)))=>(![X510:$i, X511:$i, X512:$i]:(((in @ X512 @ (binintersect @ X510 @ X511))=>(in @ X512 @ X511)))=>(![X507:$i, X508:$i]:((~(?[X509:$i]:(((in @ X509 @ X507)&(in @ X509 @ X508))))=>((binintersect @ X507 @ X508)=(emptyset))))=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[binintersectRsub]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_131]), foundationAx]), wellorderingAx]), c_0_132]), c_0_133]), c_0_134]), c_0_135]), c_0_136]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_137]), setext]), emptyI]), noeltsimpempty]), c_0_138]), c_0_139]), c_0_140]), c_0_141]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_142]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_143]), c_0_144]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_145]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_146]), c_0_147]), c_0_148]), inCongP]), in__Cong]), c_0_149]), c_0_150]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_151]), c_0_152]), c_0_153]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_154]), c_0_155]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1])])]), c_0_156])). 5.46/240.04 thf(c_0_158, negated_conjecture, ![X682:$i, X683:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i, X691:$i, X692:$i, X693:$i, X695:$i, X696:$i, X698:$i, X699:$i, X700:$i, X701:$i, X702:$i, X704:$i, X705:$i > $i > $o, X706:$i, X708:$i, X711:$i, X713:$i, X714:$i, X715:$i, X716:$i, X718:$i, X719:$i > $o, X720:$i, X722:$i, X723:$i > $o, X724:$i, X725:$i, X726:$i > $o, X727:$i, X728:$i, X729:$i > $o, X730:$i, X731:$i > $o, X732:$i, X735:$i, X736:$o, X737:$i, X738:$i, X739:$o, X740:$i, X741:$i, X742:$i > $o, X743:$i, X746:$i, X747:$i, X750:$i, X752:$i, X754:$i, X755:$i > $o, X756:$i, X757:$i, X759:$i, X760:$i > $o, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$o, X773:$i, X774:$i, X775:$i, X776:$i, X777:$i, X778:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$o, X792:$i, X793:$i, X794:$i > $o, X795:$i, X798:$i, X799:$i, X800:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X812:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i > $o, X819:$i, X820:$i > $o, X821:$i, X822:$i, X823:$i > $o, X824:$i, X826:$i, X827:$i > $o, X829:$i, X830:$i, X831:$i > $o, X833:$i, X834:$i, X835:$i > $o, X836:$i, X838:$o, X839:$o, X840:$i, X841:$i > $o, X843:$i, X844:$i, X845:$i > $o, X846:$i, X848:$i > $o, X849:$i, X852:$i, X853:$i > $o, X854:$i, X858:$i, X859:$i > $o, X860:$i, X863:$i, X864:$i, X865:$i, X866:$i, X867:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i > $o, X873:$i, X875:$i, X876:$i, X877:$i > $o, X878:$i > $o, X881:$i, X884:$i, X885:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$i, X896:$i, X897:$i > $o, X898:$i, X900:$i, X901:$i, X902:$i > $o, X903:$i > $o, X906:$i, X908:$i, X910:$i, X911:$i, X912:$i > $o, X913:$i > $o, X916:$i, X917:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$i, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i > $o, X964:$i, X965:$i > $o, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, 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X878)=(X888))|(((X885)!=(esk43_3 @ X877 @ X878 @ X885))|~(X878 @ X885))|((X877 @ (esk39_2 @ X877 @ X878))|(X878 @ (esk40_2 @ X877 @ X878)))))))))&(((emptyset)=(emptyset))&((((X889)!=(X890))|(((X891)!=(X892))|((setadjoin @ X889 @ X891)=(setadjoin @ X890 @ X892))))&((((X893)!=(X894))|((powerset @ X893)=(powerset @ X894)))&((((X895)!=(X896))|((setunion @ X895)=(setunion @ X896)))&(((omega)=(omega))&((((X897 @ (esk45_2 @ X897 @ X898))|~(X897 @ X898)|(~(X897 @ X900)|(~(X897 @ X901)|((X900)=(X901)))))&(((X898)!=(esk45_2 @ X897 @ X898))|~(X897 @ X898)|(~(X897 @ X900)|(~(X897 @ X901)|((X900)=(X901))))))&((((((X903 @ (esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|((X902 @ (esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|((esk46_2 @ X902 @ X903)=(esk47_2 @ X902 @ X903)))&(((X908)!=(esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|((X902 @ (esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|((esk46_2 @ X902 @ X903)=(esk47_2 @ X902 @ X903))))&(((X903 @ (esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|(((X906)!=(esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|((esk46_2 @ X902 @ X903)=(esk47_2 @ X902 @ X903)))&(((X908)!=(esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|(((X906)!=(esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|((esk46_2 @ X902 @ X903)=(esk47_2 @ X902 @ X903)))))&(((((X903 @ (esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|((X902 @ (esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|(~(X902 @ (esk46_2 @ X902 @ X903))|~(X903 @ (esk47_2 @ X902 @ X903))))&(((X908)!=(esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|((X902 @ (esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|(~(X902 @ (esk46_2 @ X902 @ X903))|~(X903 @ (esk47_2 @ X902 @ X903)))))&(((X903 @ (esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|(((X906)!=(esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|(~(X902 @ (esk46_2 @ X902 @ X903))|~(X903 @ (esk47_2 @ X902 @ X903))))&(((X908)!=(esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|(((X906)!=(esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|(~(X902 @ (esk46_2 @ X902 @ X903))|~(X903 @ (esk47_2 @ X902 @ X903))))))&((((X903 @ (esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|((X902 @ (esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|((X902 @ (esk46_2 @ X902 @ X903))|(X903 @ (esk47_2 @ X902 @ X903))))&(((X908)!=(esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|((X902 @ (esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|((X902 @ (esk46_2 @ X902 @ X903))|(X903 @ (esk47_2 @ X902 @ X903)))))&(((X903 @ (esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|(((X906)!=(esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|((X902 @ (esk46_2 @ X902 @ X903))|(X903 @ (esk47_2 @ X902 @ X903))))&(((X908)!=(esk49_3 @ X902 @ X903 @ X908))|~(X903 @ X908)|((descr @ X902)=(descr @ X903))|(((X906)!=(esk48_3 @ X902 @ X903 @ X906))|~(X902 @ X906))|((X902 @ (esk46_2 @ X902 @ X903))|(X903 @ (esk47_2 @ X902 @ X903))))))))&((((in @ (esk50_4 @ X910 @ X911 @ X912 @ X913) @ X910)|((dsetconstr @ X910 @ X912)=(dsetconstr @ X911 @ X913))|((X910)!=(X911)))&(((in @ (esk51_4 @ X910 @ X911 @ X912 @ X913) @ X911)|((dsetconstr @ X910 @ X912)=(dsetconstr @ X911 @ X913))|((X910)!=(X911)))&((((esk50_4 @ X910 @ X911 @ X912 @ X913)=(esk51_4 @ X910 @ X911 @ X912 @ X913))|((dsetconstr @ X910 @ X912)=(dsetconstr @ X911 @ X913))|((X910)!=(X911)))&((~(X912 @ (esk50_4 @ X910 @ X911 @ X912 @ X913))|~(X913 @ (esk51_4 @ X910 @ X911 @ X912 @ X913))|((dsetconstr @ X910 @ X912)=(dsetconstr @ X911 @ X913))|((X910)!=(X911)))&((X912 @ (esk50_4 @ X910 @ X911 @ X912 @ X913))|(X913 @ (esk51_4 @ X910 @ X911 @ X912 @ X913))|((dsetconstr @ X910 @ X912)=(dsetconstr @ X911 @ X913))|((X910)!=(X911)))))))&((((in @ (esk52_2 @ X916 @ X917) @ X916)|(subset @ X916 @ X917))&(~(in @ (esk52_2 @ X916 @ X917) @ X917)|(subset @ X916 @ X917)))&((((X919)!=(X920))|(subset @ X920 @ X919))&((((X921)!=(X922))|(subset @ X921 @ X922))&((((in @ (esk53_2 @ X923 @ X924) @ X923)|(subset @ X923 @ X924))&(~(in @ (esk53_2 @ X923 @ X924) @ X924)|(subset @ X923 @ X924)))&((subset @ emptyset @ X926)&((~(subset @ X927 @ X928)|(~(in @ X929 @ X927)|(in @ X929 @ X928)))&((~(subset @ X930 @ X931)|((in @ X932 @ X931)|~(in @ X932 @ X930)))&((~(in @ X935 @ X933)|((in @ X935 @ X934)|~(subset @ X933 @ X934)))&(((subset @ X936 @ X937)|((X936)!=(X937)))&((~(in @ X940 @ X938)|((in @ X940 @ X939)|((X938)!=(X939))))&((subset @ X941 @ X941)&((~(subset @ X942 @ X943)|(~(subset @ X943 @ X944)|(subset @ X942 @ X944)))&((subset @ X946 @ (setadjoin @ X945 @ X946))&((~(subset @ X947 @ X949)|(subset @ X947 @ (setadjoin @ X948 @ X949)))&((~(subset @ X950 @ X951)|(in @ X950 @ (powerset @ X951)))&((~(subset @ X952 @ X953)|(~(subset @ X953 @ X952)|((X952)=(X953))))&((~(subset @ X954 @ emptyset)|((X954)=(emptyset)))&((~(subset @ X956 @ X955)|(in @ X956 @ (powerset @ X955)))&((~(in @ X958 @ (powerset @ X957))|(subset @ X958 @ X957))&((in @ X959 @ (powerset @ X959))&((~(subset @ X960 @ X961)|(subset @ (powerset @ X960) @ (powerset @ X961)))&((in @ (dsetconstr @ X962 @ X963) @ (powerset @ X962))&((subset @ (dsetconstr @ X964 @ X965) @ X964)&((~(in @ X968 @ X966)|(in @ X968 @ (binunion @ X966 @ X967)))&((in @ X970 @ (setadjoin @ X969 @ (setadjoin @ X970 @ emptyset)))&((~(in @ X973 @ X972)|(in @ X973 @ (binunion @ X971 @ X972)))&(((((in @ X976 @ X975)|(X977)|(in @ X976 @ X974)|~(in @ X976 @ (binunion @ X974 @ X975)))&(~(X977)|(X977)|(in @ X976 @ X974)|~(in @ X976 @ (binunion @ X974 @ X975))))&(((in @ X976 @ X975)|(X977)|~(X977)|~(in @ X976 @ (binunion @ X974 @ X975)))&(~(X977)|(X977)|~(X977)|~(in @ X976 @ (binunion @ X974 @ X975)))))&((~(in @ X980 @ (binunion @ X978 @ X979))|((in @ X980 @ X978)|(in @ X980 @ X979)))&((subset @ X981 @ (binunion @ X981 @ X982))&((subset @ X984 @ (binunion @ X983 @ X984))&((~(in @ X987 @ X985)|(~(in @ X987 @ X986)|(in @ X987 @ (binintersect @ X985 @ X986))))&((~(subset @ X990 @ X988)|(~(subset @ X990 @ X989)|(subset @ X990 @ (binintersect @ X988 @ X989))))&((~(in @ X993 @ (binintersect @ X991 @ X992))|(in @ X993 @ X991))&((subset @ (binintersect @ X994 @ X995) @ X994)&((~(subset @ X996 @ X997)|((binintersect @ X996 @ X997)=(X996)))&((((binintersect @ X998 @ X999)!=(X999))|(subset @ X999 @ X998))&((~(in @ X1002 @ (binintersect @ X1000 @ X1001))|(in @ X1002 @ X1001))&((((in @ (esk54_2 @ X1003 @ X1004) @ X1003)|((binintersect @ X1003 @ X1004)=(emptyset)))&((in @ (esk54_2 @ X1003 @ X1004) @ X1004)|((binintersect @ X1003 @ X1004)=(emptyset))))&~(subset @ (binintersect @ esk55_0 @ esk56_0) @ esk56_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_157])])])])])])])). 5.46/240.04 thf(c_0_159, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ X4)|~((in @ X2 @ (binintersect @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_158])). 5.46/240.04 thf(c_0_160, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk52_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_158])). 5.46/240.04 thf(c_0_161, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk52_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_158])). 5.46/240.04 thf(c_0_162, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ (esk52_2 @ (binintersect @ X2 @ X3) @ X4) @ X3)|(subset @ (binintersect @ X2 @ X3) @ X4))), inference(spm,[status(thm)],[c_0_159, c_0_160])). 5.46/240.04 thf(c_0_163, negated_conjecture, ~((subset @ (binintersect @ esk55_0 @ esk56_0) @ esk56_0)), inference(split_conjunct,[status(thm)],[c_0_158])). 5.46/240.04 thf(c_0_164, negated_conjecture, ![X2:$i, X3:$i]:((subset @ (binintersect @ X2 @ X3) @ X3)), inference(spm,[status(thm)],[c_0_161, c_0_162])). 5.46/240.04 thf(c_0_165, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163, c_0_164])]), ['proof']). 5.46/240.04 # SZS output end CNFRefutation 5.46/240.04 # Parsed axioms : 246 5.46/240.04 # Removed by relevancy pruning/SinE : 0 5.46/240.04 # Initial clauses : 360 5.46/240.04 # Removed in clause preprocessing : 148 5.46/240.04 # Initial clauses in saturation : 212 5.46/240.04 # Processed clauses : 2714 5.46/240.04 # ...of these trivial : 55 5.46/240.04 # ...subsumed : 1296 5.46/240.04 # ...remaining for further processing : 1363 5.46/240.04 # Other redundant clauses eliminated : 24 5.46/240.04 # Clauses deleted for lack of memory : 0 5.46/240.04 # Backward-subsumed : 58 5.46/240.04 # Backward-rewritten : 6 5.46/240.04 # Generated clauses : 35733 5.46/240.04 # ...of the previous two non-redundant : 34625 5.46/240.04 # ...aggressively subsumed : 0 5.46/240.04 # Contextual simplify-reflections : 0 5.46/240.04 # Paramodulations : 35706 5.46/240.04 # Factorizations : 2 5.46/240.04 # NegExts : 0 5.46/240.04 # Equation resolutions : 24 5.46/240.04 # Disequality decompositions : 0 5.46/240.04 # Total rewrite steps : 1104 5.46/240.04 # ...of those cached : 924 5.46/240.04 # Propositional unsat checks : 0 5.46/240.04 # Propositional check models : 0 5.46/240.04 # Propositional check unsatisfiable : 0 5.46/240.04 # Propositional clauses : 0 5.46/240.04 # Propositional clauses after purity: 0 5.46/240.04 # Propositional unsat core size : 0 5.46/240.04 # Propositional preprocessing time : 0.000 5.46/240.04 # Propositional encoding time : 0.000 5.46/240.04 # Propositional solver time : 0.000 5.46/240.04 # Success case prop preproc time : 0.000 5.46/240.04 # Success case prop encoding time : 0.000 5.46/240.04 # Success case prop solver time : 0.000 5.46/240.04 # Current number of processed clauses : 1101 5.46/240.04 # Positive orientable unit clauses : 51 5.46/240.04 # Positive unorientable unit clauses: 0 5.46/240.04 # Negative unit clauses : 271 5.46/240.04 # Non-unit-clauses : 779 5.46/240.04 # Current number of unprocessed clauses: 32209 5.46/240.04 # ...number of literals in the above : 109721 5.46/240.04 # Current number of archived formulas : 0 5.46/240.04 # Current number of archived clauses : 249 5.46/240.04 # Clause-clause subsumption calls (NU) : 68811 5.46/240.04 # Rec. Clause-clause subsumption calls : 47830 5.46/240.04 # Non-unit clause-clause subsumptions : 1140 5.46/240.04 # Unit Clause-clause subsumption calls : 41782 5.46/240.04 # Rewrite failures with RHS unbound : 0 5.46/240.04 # BW rewrite match attempts : 29 5.46/240.04 # BW rewrite match successes : 6 5.46/240.04 # Condensation attempts : 0 5.46/240.04 # Condensation successes : 0 5.46/240.04 # Termbank termtop insertions : 654156 5.46/240.04 # Search garbage collected termcells : 11669 5.46/240.04 5.46/240.04 # ------------------------------------------------- 5.46/240.04 # User time : 0.577 s 5.46/240.04 # System time : 0.025 s 5.46/240.04 # Total time : 0.601 s 5.46/240.04 # Maximum resident set size: 4728 pages 5.46/240.04 5.46/240.04 # ------------------------------------------------- 5.46/240.04 # User time : 0.583 s 5.46/240.04 # System time : 0.028 s 5.46/240.04 # Total time : 0.610 s 5.46/240.04 # Maximum resident set size: 2064 pages 5.46/240.04 % E exiting 5.46/240.04 % E exiting 5.46/240.04 EOF