0.02/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.10/0.32 % Computer : n013.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 : 1920 0.10/0.32 % WCLimit : 240 0.10/0.32 % DateTime : Wed Jul 30 09:14:49 EDT 2025 0.10/0.32 % CPUTime : 0.16/0.44 Running higher-order theorem proving 0.16/0.45 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p 1056.11/133.12 # Version: 3.0.0-ho 1056.11/133.12 # Preprocessing class: HSLMSLSSLLLCHFA. 1056.11/133.12 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 1056.11/133.12 # Starting ehoh_best5 with 240s (1) cores 1056.11/133.12 # Starting almost_fo_3_lam with 240s (1) cores 1056.11/133.12 # Starting new_bool_5 with 240s (1) cores 1056.11/133.12 # Starting pre_casc_3 with 240s (1) cores 1056.11/133.12 # Starting ho_unfolding_8 with 240s (1) cores 1056.11/133.12 # Starting new_ho_10_cnf2 with 240s (1) cores 1056.11/133.12 # Starting new_bool_3 with 240s (1) cores 1056.11/133.12 # Starting new_ho_5 with 240s (1) cores 1056.11/133.12 # almost_fo_3_lam with pid 22392 completed with status 0 1056.11/133.12 # Result found by almost_fo_3_lam 1056.11/133.12 # Preprocessing class: HSLMSLSSLLLCHFA. 1056.11/133.12 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 1056.11/133.12 # Starting ehoh_best5 with 240s (1) cores 1056.11/133.12 # Starting almost_fo_3_lam with 240s (1) cores 1056.11/133.12 # No SInE strategy applied 1056.11/133.12 # Search class: HGHSM-FSLM31-MHFMMSBN 1056.11/133.12 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 1056.11/133.12 # Starting new_ho_10_cnf2 with 130s (1) cores 1056.11/133.12 # new_ho_10_cnf2 with pid 22404 completed with status 8 1056.11/133.12 # Starting almost_fo_3_lam with 25s (1) cores 1056.11/133.12 # almost_fo_3_lam with pid 23322 completed with status 0 1056.11/133.12 # Result found by almost_fo_3_lam 1056.11/133.12 # Preprocessing class: HSLMSLSSLLLCHFA. 1056.11/133.12 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 1056.11/133.12 # Starting ehoh_best5 with 240s (1) cores 1056.11/133.12 # Starting almost_fo_3_lam with 240s (1) cores 1056.11/133.12 # No SInE strategy applied 1056.11/133.12 # Search class: HGHSM-FSLM31-MHFMMSBN 1056.11/133.12 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 1056.11/133.12 # Starting new_ho_10_cnf2 with 130s (1) cores 1056.11/133.12 # new_ho_10_cnf2 with pid 22404 completed with status 8 1056.11/133.12 # Starting almost_fo_3_lam with 25s (1) cores 1056.11/133.12 # Preprocessing time : 0.005 s 1056.11/133.12 # Presaturation interreduction done 1056.11/133.12 1056.11/133.12 # Proof found! 1056.11/133.12 # SZS status Theorem 1056.11/133.12 # SZS output start CNFRefutation 1056.11/133.12 thf(decl_23, type, in: $i > $i > $o). 1056.11/133.12 thf(decl_24, type, exu: ($i > $o) > $o). 1056.11/133.12 thf(decl_25, type, setextAx: $o). 1056.11/133.12 thf(decl_26, type, emptyset: $i). 1056.11/133.12 thf(decl_27, type, emptysetAx: $o). 1056.11/133.12 thf(decl_28, type, setadjoin: $i > $i > $i). 1056.11/133.12 thf(decl_29, type, setadjoinAx: $o). 1056.11/133.12 thf(decl_30, type, powerset: $i > $i). 1056.11/133.12 thf(decl_31, type, powersetAx: $o). 1056.11/133.12 thf(decl_32, type, setunion: $i > $i). 1056.11/133.12 thf(decl_33, type, setunionAx: $o). 1056.11/133.12 thf(decl_34, type, omega: $i). 1056.11/133.12 thf(decl_35, type, omega0Ax: $o). 1056.11/133.12 thf(decl_36, type, omegaSAx: $o). 1056.11/133.12 thf(decl_37, type, omegaIndAx: $o). 1056.11/133.12 thf(decl_38, type, replAx: $o). 1056.11/133.12 thf(decl_39, type, foundationAx: $o). 1056.11/133.12 thf(decl_40, type, wellorderingAx: $o). 1056.11/133.12 thf(decl_41, type, descr: ($i > $o) > $i). 1056.11/133.12 thf(decl_42, type, descrp: $o). 1056.11/133.12 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i). 1056.11/133.12 thf(decl_44, type, dsetconstrI: $o). 1056.11/133.12 thf(decl_45, type, dsetconstrEL: $o). 1056.11/133.12 thf(decl_46, type, dsetconstrER: $o). 1056.11/133.12 thf(decl_47, type, exuE1: $o). 1056.11/133.12 thf(decl_48, type, prop2set: $o > $i). 1056.11/133.12 thf(decl_49, type, prop2setE: $o). 1056.11/133.12 thf(decl_50, type, emptysetE: $o). 1056.11/133.12 thf(decl_51, type, emptysetimpfalse: $o). 1056.11/133.12 thf(decl_52, type, notinemptyset: $o). 1056.11/133.12 thf(decl_53, type, exuE3e: $o). 1056.11/133.12 thf(decl_54, type, setext: $o). 1056.11/133.12 thf(decl_55, type, emptyI: $o). 1056.11/133.12 thf(decl_56, type, noeltsimpempty: $o). 1056.11/133.12 thf(decl_57, type, setbeta: $o). 1056.11/133.12 thf(decl_58, type, nonempty: $i > $o). 1056.11/133.12 thf(decl_59, type, nonemptyE1: $o). 1056.11/133.12 thf(decl_60, type, nonemptyI: $o). 1056.11/133.12 thf(decl_61, type, nonemptyI1: $o). 1056.11/133.12 thf(decl_62, type, setadjoinIL: $o). 1056.11/133.12 thf(decl_63, type, emptyinunitempty: $o). 1056.11/133.12 thf(decl_64, type, setadjoinIR: $o). 1056.11/133.12 thf(decl_65, type, setadjoinE: $o). 1056.11/133.12 thf(decl_66, type, setadjoinOr: $o). 1056.11/133.12 thf(decl_67, type, setoftrueEq: $o). 1056.11/133.12 thf(decl_68, type, powersetI: $o). 1056.11/133.12 thf(decl_69, type, emptyinPowerset: $o). 1056.11/133.12 thf(decl_70, type, emptyInPowerset: $o). 1056.11/133.12 thf(decl_71, type, powersetE: $o). 1056.11/133.12 thf(decl_72, type, setunionI: $o). 1056.11/133.12 thf(decl_73, type, setunionE: $o). 1056.11/133.12 thf(decl_74, type, subPowSU: $o). 1056.11/133.12 thf(decl_75, type, exuE2: $o). 1056.11/133.12 thf(decl_76, type, nonemptyImpWitness: $o). 1056.11/133.12 thf(decl_77, type, uniqinunit: $o). 1056.11/133.12 thf(decl_78, type, notinsingleton: $o). 1056.11/133.12 thf(decl_79, type, eqinunit: $o). 1056.11/133.12 thf(decl_80, type, singletonsswitch: $o). 1056.11/133.12 thf(decl_81, type, upairsetE: $o). 1056.11/133.12 thf(decl_82, type, upairsetIL: $o). 1056.11/133.12 thf(decl_83, type, upairsetIR: $o). 1056.11/133.12 thf(decl_84, type, emptyE1: $o). 1056.11/133.12 thf(decl_85, type, vacuousDall: $o). 1056.11/133.12 thf(decl_86, type, quantDeMorgan1: $o). 1056.11/133.12 thf(decl_87, type, quantDeMorgan2: $o). 1056.11/133.12 thf(decl_88, type, quantDeMorgan3: $o). 1056.11/133.12 thf(decl_89, type, quantDeMorgan4: $o). 1056.11/133.12 thf(decl_90, type, prop2setI: $o). 1056.11/133.12 thf(decl_91, type, set2prop: $i > $o). 1056.11/133.12 thf(decl_92, type, prop2set2propI: $o). 1056.11/133.12 thf(decl_93, type, notdexE: $o). 1056.11/133.12 thf(decl_94, type, notdallE: $o). 1056.11/133.12 thf(decl_95, type, exuI1: $o). 1056.11/133.12 thf(decl_96, type, exuI3: $o). 1056.11/133.12 thf(decl_97, type, exuI2: $o). 1056.11/133.12 thf(decl_98, type, inCongP: $o). 1056.11/133.12 thf(decl_99, type, in__Cong: $o). 1056.11/133.12 thf(decl_100, type, exuE3u: $o). 1056.11/133.12 thf(decl_101, type, exu__Cong: $o). 1056.11/133.12 thf(decl_102, type, emptyset__Cong: $o). 1056.11/133.12 thf(decl_103, type, setadjoin__Cong: $o). 1056.11/133.12 thf(decl_104, type, powerset__Cong: $o). 1056.11/133.12 thf(decl_105, type, setunion__Cong: $o). 1056.11/133.12 thf(decl_106, type, omega__Cong: $o). 1056.11/133.12 thf(decl_107, type, exuEu: $o). 1056.11/133.12 thf(decl_108, type, descr__Cong: $o). 1056.11/133.12 thf(decl_109, type, dsetconstr__Cong: $o). 1056.11/133.12 thf(decl_110, type, subset: $i > $i > $o). 1056.11/133.12 thf(decl_113, type, subsetI1: $o). 1056.11/133.12 thf(decl_114, type, eqimpsubset2: $o). 1056.11/133.12 thf(decl_115, type, eqimpsubset1: $o). 1056.11/133.12 thf(decl_116, type, subsetI2: $o). 1056.11/133.12 thf(decl_117, type, emptysetsubset: $o). 1056.11/133.12 thf(decl_118, type, subsetE: $o). 1056.11/133.12 thf(decl_119, type, subsetE2: $o). 1056.11/133.12 thf(decl_120, type, notsubsetI: $o). 1056.11/133.12 thf(decl_121, type, notequalI1: $o). 1056.11/133.12 thf(decl_122, type, notequalI2: $o). 1056.11/133.12 thf(decl_123, type, subsetRefl: $o). 1056.11/133.12 thf(decl_124, type, subsetTrans: $o). 1056.11/133.12 thf(decl_125, type, setadjoinSub: $o). 1056.11/133.12 thf(decl_126, type, setadjoinSub2: $o). 1056.11/133.12 thf(decl_127, type, subset2powerset: $o). 1056.11/133.12 thf(decl_128, type, setextsub: $o). 1056.11/133.12 thf(decl_129, type, subsetemptysetimpeq: $o). 1056.11/133.12 thf(decl_130, type, powersetI1: $o). 1056.11/133.12 thf(decl_131, type, powersetE1: $o). 1056.11/133.12 thf(decl_132, type, inPowerset: $o). 1056.11/133.12 thf(decl_133, type, powersetsubset: $o). 1056.11/133.12 thf(decl_134, type, sepInPowerset: $o). 1056.11/133.12 thf(decl_135, type, sepSubset: $o). 1056.11/133.12 thf(decl_136, type, binunion: $i > $i > $i). 1056.11/133.12 thf(decl_137, type, binunionIL: $o). 1056.11/133.12 thf(decl_138, type, upairset2IR: $o). 1056.11/133.12 thf(decl_139, type, binunionIR: $o). 1056.11/133.12 thf(decl_140, type, binunionEcases: $o). 1056.11/133.12 thf(decl_141, type, binunionE: $o). 1056.11/133.12 thf(decl_142, type, binunionLsub: $o). 1056.11/133.12 thf(decl_143, type, binunionRsub: $o). 1056.11/133.12 thf(decl_144, type, binintersect: $i > $i > $i). 1056.11/133.12 thf(decl_145, type, binintersectI: $o). 1056.11/133.12 thf(decl_146, type, epred1_0: $o). 1056.11/133.12 thf(decl_147, type, esk1_2: $i > $i > $i). 1056.11/133.12 thf(decl_148, type, esk2_2: $i > $i > $i). 1056.11/133.12 thf(decl_149, type, esk3_2: $i > $i > $i). 1056.11/133.12 thf(decl_150, type, esk4_1: $i > $i). 1056.11/133.12 thf(decl_151, type, esk5_2: ($i > $i > $o) > $i > $i). 1056.11/133.12 thf(decl_152, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 1056.11/133.12 thf(decl_153, type, esk7_2: ($i > $i > $o) > $i > $i). 1056.11/133.12 thf(decl_154, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 1056.11/133.12 thf(decl_155, type, esk9_1: $i > $i). 1056.11/133.12 thf(decl_156, type, esk10_2: ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_157, type, esk11_2: ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_158, type, esk12_1: ($i > $o) > $i). 1056.11/133.12 thf(decl_159, type, esk13_2: ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_160, type, esk14_1: ($i > $o) > $i). 1056.11/133.12 thf(decl_161, type, esk15_2: $i > $i > $i). 1056.11/133.12 thf(decl_162, type, esk16_2: $i > $i > $i). 1056.11/133.12 thf(decl_163, type, esk17_1: $i > $i). 1056.11/133.12 thf(decl_164, type, esk18_1: $i > $i). 1056.11/133.12 thf(decl_165, type, esk19_1: $i > $i). 1056.11/133.12 thf(decl_166, type, esk20_2: $i > $i > $i). 1056.11/133.12 thf(decl_167, type, esk21_3: $i > $i > $o > $i). 1056.11/133.12 thf(decl_168, type, esk22_2: ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_169, type, esk23_1: ($i > $o) > $i). 1056.11/133.12 thf(decl_170, type, esk24_1: $i > $i). 1056.11/133.12 thf(decl_171, type, esk25_2: $i > ($i > $o) > $i). 1056.11/133.12 thf(decl_172, type, esk26_2: $i > ($i > $o) > $i). 1056.11/133.12 thf(decl_173, type, esk27_2: $i > ($i > $o) > $i). 1056.11/133.12 thf(decl_174, type, esk28_2: $i > ($i > $o) > $i). 1056.11/133.12 thf(decl_175, type, esk29_2: $i > ($i > $o) > $i). 1056.11/133.12 thf(decl_176, type, esk30_2: $i > ($i > $o) > $i). 1056.11/133.12 thf(decl_177, type, esk31_2: ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_178, type, esk32_1: ($i > $o) > $i). 1056.11/133.12 thf(decl_179, type, esk33_1: ($i > $o) > $i). 1056.11/133.12 thf(decl_180, type, esk34_1: ($i > $o) > $i). 1056.11/133.12 thf(decl_181, type, esk35_1: ($i > $o) > $i). 1056.11/133.12 thf(decl_182, type, esk36_2: ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_183, type, esk37_1: ($i > $o) > $i). 1056.11/133.12 thf(decl_184, type, esk38_2: ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_185, type, esk39_2: ($i > $o) > ($i > $o) > $i). 1056.11/133.12 thf(decl_186, type, esk40_2: ($i > $o) > ($i > $o) > $i). 1056.11/133.12 thf(decl_187, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_188, type, esk42_2: ($i > $o) > ($i > $o) > $i). 1056.11/133.12 thf(decl_189, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_190, type, esk44_2: ($i > $o) > ($i > $o) > $i). 1056.11/133.12 thf(decl_191, type, esk45_2: ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_192, type, esk46_2: ($i > $o) > ($i > $o) > $i). 1056.11/133.12 thf(decl_193, type, esk47_2: ($i > $o) > ($i > $o) > $i). 1056.11/133.12 thf(decl_194, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_195, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 1056.11/133.12 thf(decl_196, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 1056.11/133.12 thf(decl_197, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 1056.11/133.12 thf(decl_198, type, esk52_2: $i > $i > $i). 1056.11/133.12 thf(decl_199, type, esk53_2: $i > $i > $i). 1056.11/133.12 thf(decl_200, type, esk54_0: $i). 1056.11/133.12 thf(decl_201, type, esk55_0: $i). 1056.11/133.12 thf(decl_202, type, esk56_0: $i). 1056.11/133.12 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', replAx)). 1056.11/133.12 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', exu)). 1056.11/133.12 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', descrp)). 1056.11/133.12 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', exuE1)). 1056.11/133.12 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', exuE3e)). 1056.11/133.12 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', nonempty)). 1056.11/133.12 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', nonemptyI)). 1056.11/133.12 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', exuE2)). 1056.11/133.12 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.y1uzPhR6sp/E---3.1_22313.p', exuI1)). 1056.11/133.12 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', exuI3)). 1056.11/133.12 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', exuI2)). 1056.11/133.12 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.y1uzPhR6sp/E---3.1_22313.p', exuE3u)). 1056.11/133.12 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', exu__Cong)). 1056.11/133.12 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', exuEu)). 1056.11/133.12 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', descr__Cong)). 1056.11/133.12 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', dsetconstrI)). 1056.11/133.12 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', dsetconstrEL)). 1056.11/133.12 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', dsetconstrER)). 1056.11/133.12 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setbeta)). 1056.11/133.12 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', nonemptyE1)). 1056.11/133.12 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', nonemptyI1)). 1056.11/133.12 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setoftrueEq)). 1056.11/133.12 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', nonemptyImpWitness)). 1056.11/133.12 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.y1uzPhR6sp/E---3.1_22313.p', emptyE1)). 1056.11/133.12 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', dsetconstr__Cong)). 1056.11/133.12 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', sepInPowerset)). 1056.11/133.12 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', sepSubset)). 1056.11/133.12 thf(binintersectSubset5, conjecture, (((emptysetAx)=>((setadjoinAx)=>(((setunionAx)=>(((omegaSAx)=>(((replAx)=>((foundationAx)=>((wellorderingAx)=>((((((exuE1)=>((prop2setE)=>(((((exuE3e)=>((setext)=>(((noeltsimpempty)=>(((nonemptyE1)=>(((nonemptyI1)=>(((((setadjoinE)=>(((setoftrueEq)=>((((((((((nonemptyImpWitness)=>(((((((((emptyE1)=>(((quantDeMorgan1)=>((quantDeMorgan2)=>((((((((exuI1)=>((exuI3)=>(((inCongP)=>(((((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>(((exuEu)=>(((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>(((emptysetsubset)=>((subsetE)=>(((notsubsetI)=>((((subsetRefl)=>((subsetTrans)=>((((subset2powerset)=>((setextsub)=>(((((((((((binunionIR)=>((((binunionLsub)=>(((binintersectI)=>![X4:$i, X5:$i, X7:$i]:((((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))<=(subset @ X7 @ X4))))<=(binunionRsub)))<=(binunionE))<=(binunionEcases)))<=(upairset2IR))<=(binunionIL))<=(sepSubset))<=(sepInPowerset))<=(powersetsubset))<=(inPowerset))<=(powersetE1))<=(powersetI1))<=(subsetemptysetimpeq))))<=(setadjoinSub2))<=(setadjoinSub))))<=(notequalI2))<=(notequalI1)))<=(subsetE2))))<=(subsetI2))))))<=(descr__Cong)))<=(omega__Cong))))))<=(exu__Cong))<=(exuE3u))<=(in__Cong)))<=(exuI2))))<=(notdallE))<=(notdexE))<=(prop2set2propI))<=(prop2setI))<=(quantDeMorgan4))<=(quantDeMorgan3))))<=(vacuousDall)))<=(upairsetIR))<=(upairsetIL))<=(upairsetE))<=(singletonsswitch))<=(eqinunit))<=(notinsingleton))<=(uniqinunit)))<=(exuE2))<=(subPowSU))<=(setunionE))<=(setunionI))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI)))<=(setadjoinOr)))<=(setadjoinIR))<=(emptyinunitempty))<=(setadjoinIL)))<=(nonemptyI)))<=(setbeta)))<=(emptyI))))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE))))<=(dsetconstrER))<=(dsetconstrEL))<=(dsetconstrI))<=(descrp)))))<=(omegaIndAx)))<=(omega0Ax)))<=(powersetAx))))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', binintersectSubset5)). 1056.11/133.12 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setextAx)). 1056.11/133.12 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', emptysetAx)). 1056.11/133.12 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setadjoinAx)). 1056.11/133.12 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', powersetAx)). 1056.11/133.12 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setunionAx)). 1056.11/133.12 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', omega0Ax)). 1056.11/133.12 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', omegaSAx)). 1056.11/133.12 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.y1uzPhR6sp/E---3.1_22313.p', omegaIndAx)). 1056.11/133.12 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.y1uzPhR6sp/E---3.1_22313.p', foundationAx)). 1056.11/133.12 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', wellorderingAx)). 1056.11/133.12 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', prop2setE)). 1056.11/133.12 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', emptysetE)). 1056.11/133.12 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', emptysetimpfalse)). 1056.11/133.12 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', notinemptyset)). 1056.11/133.12 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.y1uzPhR6sp/E---3.1_22313.p', setext)). 1056.11/133.12 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', emptyI)). 1056.11/133.12 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', noeltsimpempty)). 1056.11/133.12 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setadjoinIL)). 1056.11/133.12 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', emptyinunitempty)). 1056.11/133.12 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setadjoinIR)). 1056.11/133.12 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setadjoinE)). 1056.11/133.12 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setadjoinOr)). 1056.11/133.12 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', powersetI)). 1056.11/133.12 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', emptyinPowerset)). 1056.11/133.12 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', emptyInPowerset)). 1056.11/133.12 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', powersetE)). 1056.11/133.12 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setunionI)). 1056.11/133.12 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setunionE)). 1056.11/133.12 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', subPowSU)). 1056.11/133.12 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', uniqinunit)). 1056.11/133.12 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', notinsingleton)). 1056.11/133.12 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', eqinunit)). 1056.11/133.12 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', singletonsswitch)). 1056.11/133.12 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', upairsetE)). 1056.11/133.12 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', upairsetIL)). 1056.11/133.12 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', upairsetIR)). 1056.11/133.12 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', vacuousDall)). 1056.11/133.12 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', quantDeMorgan1)). 1056.11/133.12 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', quantDeMorgan2)). 1056.11/133.12 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', quantDeMorgan3)). 1056.11/133.12 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', quantDeMorgan4)). 1056.11/133.12 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', prop2setI)). 1056.11/133.12 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', prop2set2propI)). 1056.11/133.12 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', notdexE)). 1056.11/133.12 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', notdallE)). 1056.11/133.12 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', inCongP)). 1056.11/133.12 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', in__Cong)). 1056.11/133.12 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', emptyset__Cong)). 1056.11/133.12 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setadjoin__Cong)). 1056.11/133.12 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', powerset__Cong)). 1056.11/133.12 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setunion__Cong)). 1056.11/133.12 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', omega__Cong)). 1056.11/133.12 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', subsetI1)). 1056.11/133.12 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', eqimpsubset2)). 1056.11/133.12 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', eqimpsubset1)). 1056.11/133.12 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', subsetI2)). 1056.11/133.12 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', emptysetsubset)). 1056.11/133.12 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', subsetE)). 1056.11/133.12 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', subsetE2)). 1056.11/133.12 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', notsubsetI)). 1056.11/133.12 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', notequalI1)). 1056.11/133.12 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', notequalI2)). 1056.11/133.12 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', subsetRefl)). 1056.11/133.12 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', subsetTrans)). 1056.11/133.12 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setadjoinSub)). 1056.11/133.12 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setadjoinSub2)). 1056.11/133.12 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', subset2powerset)). 1056.11/133.12 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', setextsub)). 1056.11/133.12 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', subsetemptysetimpeq)). 1056.11/133.12 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', powersetI1)). 1056.11/133.12 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', powersetE1)). 1056.11/133.12 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', inPowerset)). 1056.11/133.12 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', powersetsubset)). 1056.11/133.12 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', binunionIL)). 1056.11/133.12 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', upairset2IR)). 1056.11/133.12 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', binunionIR)). 1056.11/133.12 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', binunionEcases)). 1056.11/133.12 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', binunionE)). 1056.11/133.12 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', binunionLsub)). 1056.11/133.12 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', binunionRsub)). 1056.11/133.12 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.y1uzPhR6sp/E---3.1_22313.p', binintersectI)). 1056.11/133.12 thf(c_0_109, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 1056.11/133.12 thf(c_0_110, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 1056.11/133.12 thf(c_0_111, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 1056.11/133.12 thf(c_0_112, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 1056.11/133.12 thf(c_0_113, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 1056.11/133.12 thf(c_0_114, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 1056.11/133.12 thf(c_0_115, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 1056.11/133.12 thf(c_0_116, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 1056.11/133.12 thf(c_0_117, 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])). 1056.11/133.12 thf(c_0_118, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 1056.11/133.12 thf(c_0_119, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 1056.11/133.12 thf(c_0_120, 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])). 1056.11/133.12 thf(c_0_121, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 1056.11/133.12 thf(c_0_122, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 1056.11/133.12 thf(c_0_123, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 1056.11/133.12 thf(c_0_124, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X307:$i]:((((X6 @ X2 @ X307))&![X308:$i]:((((X6 @ X2 @ X308))=>((X307)=(X308)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_109, c_0_110])). 1056.11/133.12 thf(c_0_125, plain, ((descrp)=(![X1:$i > $o]:(((?[X309:$i]:((((X1 @ X309))&![X310:$i]:((((X1 @ X310))=>((X309)=(X310)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_111, c_0_110])). 1056.11/133.12 thf(c_0_126, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 1056.11/133.12 thf(c_0_127, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 1056.11/133.12 thf(c_0_128, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 1056.11/133.12 thf(c_0_129, plain, ((exuE1)=(![X1:$i > $o]:(((?[X311:$i]:((((X1 @ X311))&![X312:$i]:((((X1 @ X312))=>((X311)=(X312)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_112, c_0_110])). 1056.11/133.12 thf(c_0_130, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X313:$i]:((((X1 @ X313))&![X314:$i]:((((X1 @ X314))=>((X313)=(X314)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_113, c_0_110])). 1056.11/133.12 thf(c_0_131, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 1056.11/133.12 thf(c_0_132, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_114])). 1056.11/133.12 thf(c_0_133, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_115, c_0_114])). 1056.11/133.12 thf(c_0_134, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_114])). 1056.11/133.12 thf(c_0_135, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 1056.11/133.12 thf(c_0_136, plain, ((exuE2)=(![X1:$i > $o]:(((?[X315:$i]:((((X1 @ X315))&![X316:$i]:((((X1 @ X316))=>((X315)=(X316)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_116, c_0_110])). 1056.11/133.12 thf(c_0_137, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_114])). 1056.11/133.12 thf(c_0_138, 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])). 1056.11/133.12 thf(c_0_139, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X317:$i]:((((X1 @ X317))&![X318:$i]:((((X1 @ X318))=>((X317)=(X318))))))))))), inference(apply_def,[status(thm)],[c_0_117, c_0_110])). 1056.11/133.12 thf(c_0_140, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X319:$i]:((((X1 @ X319))&![X320:$i]:((((X1 @ X320))=>((X319)=(X320)))))))))))), inference(apply_def,[status(thm)],[c_0_118, c_0_110])). 1056.11/133.12 thf(c_0_141, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X321:$i]:((((X1 @ X321))&![X322:$i]:((((X1 @ X322))=>((X321)=(X322))))))))))), inference(apply_def,[status(thm)],[c_0_119, c_0_110])). 1056.11/133.12 thf(c_0_142, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X323:$i]:((((X1 @ X323))&![X324:$i]:((((X1 @ X324))=>((X323)=(X324)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_120, c_0_110])). 1056.11/133.12 thf(c_0_143, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X325:$i]:((((X1 @ X325))&![X326:$i]:((((X1 @ X326))=>((X325)=(X326)))))))<=>(?[X327:$i]:((((X17 @ X327))&![X328:$i]:((((X17 @ X328))=>((X327)=(X328)))))))))))), inference(apply_def,[status(thm)],[c_0_121, c_0_110])). 1056.11/133.12 thf(c_0_144, plain, ((exuEu)=(![X1:$i > $o]:(((?[X329:$i]:((((X1 @ X329))&![X330:$i]:((((X1 @ X330))=>((X329)=(X330)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_122, c_0_110])). 1056.11/133.12 thf(c_0_145, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X331:$i]:((((X1 @ X331))&![X332:$i]:((((X1 @ X332))=>((X331)=(X332)))))))=>((?[X333:$i]:((((X17 @ X333))&![X334:$i]:((((X17 @ X334))=>((X333)=(X334)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_123, c_0_110])). 1056.11/133.12 thf(c_0_146, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 1056.11/133.12 thf(c_0_147, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])). 1056.11/133.12 thf(c_0_148, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])). 1056.11/133.12 thf(c_0_149, plain, ((epred1_0)<=>![X355:$i]:(?[X356:$i]:((((![X357:$i]:(((in @ X357 @ X356)=>![X358:$i]:(((in @ X358 @ X357)=>(in @ X358 @ X355)))))&![X359:$i, X360:$i]:((((in @ X359 @ X355)&(in @ X360 @ X355))=>(![X361:$i]:(((in @ X361 @ X356)=>((in @ X359 @ X361)<=>(in @ X360 @ X361))))=>((X359)=(X360))))))&![X362:$i, X363:$i]:((((in @ X362 @ X356)&(in @ X363 @ X356))=>(![X364:$i]:(((in @ X364 @ X362)=>(in @ X364 @ X363)))|![X365:$i]:(((in @ X365 @ X363)=>(in @ X365 @ X362)))))))&![X366:$i]:(((![X367:$i]:(((in @ X367 @ X366)=>(in @ X367 @ X355)))&?[X368:$i]:((in @ X368 @ X366)))=>?[X369:$i, X370:$i]:(((((in @ X369 @ X356)&(in @ X370 @ X366))&~(?[X371:$i]:(((in @ X371 @ X369)&(in @ X371 @ X366)))))&![X372:$i]:(((in @ X372 @ X356)=>(![X373:$i]:(((in @ X373 @ X372)=>(in @ X373 @ X369)))|(in @ X370 @ X372)))))))))))), introduced(definition)). 1056.11/133.12 thf(c_0_150, negated_conjecture, ~((![X644:$i, X645:$i]:((![X646:$i]:(((in @ X646 @ X644)<=>(in @ X646 @ X645)))=>((X644)=(X645))))=>(![X335:$i]:(~(in @ X335 @ emptyset))=>(![X336:$i, X337:$i, X338:$i]:(((in @ X338 @ (setadjoin @ X336 @ X337))<=>(((X338)=(X336))|(in @ X338 @ X337))))=>(![X641:$i, X642:$i]:(((in @ X642 @ (powerset @ X641))<=>![X643:$i]:(((in @ X643 @ X642)=>(in @ X643 @ X641)))))=>(![X339:$i, X340:$i]:(((in @ X340 @ (setunion @ X339))<=>?[X341:$i]:(((in @ X340 @ X341)&(in @ X341 @ X339)))))=>((in @ emptyset @ omega)=>(![X342:$i]:(((in @ X342 @ omega)=>(in @ (setadjoin @ X342 @ X342) @ omega)))=>(![X638:$i]:((((in @ emptyset @ X638)&![X639:$i]:((((in @ X639 @ omega)&(in @ X639 @ X638))=>(in @ (setadjoin @ X639 @ X639) @ X638))))=>![X640:$i]:(((in @ X640 @ omega)=>(in @ X640 @ X638)))))=>(![X343:$i > $i > $o, X344:$i]:((![X345:$i]:(((in @ X345 @ X344)=>?[X346:$i]:(((X343 @ X345 @ X346)&![X347:$i]:(((X343 @ X345 @ X347)=>((X346)=(X347))))))))=>?[X348:$i]:(![X349:$i]:(((in @ X349 @ X348)<=>?[X350:$i]:(((in @ X350 @ X344)&(X343 @ X350 @ X349))))))))=>(![X351:$i]:((?[X352:$i]:((in @ X352 @ X351))=>?[X353:$i]:(((in @ X353 @ X351)&~(?[X354:$i]:(((in @ X354 @ X353)&(in @ X354 @ X351))))))))=>((epred1_0)=>(![X635:$i > $o]:((?[X636:$i]:(((X635 @ X636)&![X637:$i]:(((X635 @ X637)=>((X636)=(X637))))))=>(X635 @ (descr @ (^[Z0/* 17 */:$i]:(X635 @ Z0))))))=>(![X632:$i, X633:$i > $o, X634:$i]:(((in @ X634 @ X632)=>((X633 @ X634)=>(in @ X634 @ (dsetconstr @ X632 @ X633)))))=>(![X629:$i, X630:$i > $o, X631:$i]:(((in @ X631 @ (dsetconstr @ X629 @ X630))=>(in @ X631 @ X629)))=>(![X626:$i, X627:$i > $o, X628:$i]:(((in @ X628 @ (dsetconstr @ X626 @ X627))=>(X627 @ X628)))=>(![X374:$i > $o]:((?[X375:$i]:(((X374 @ X375)&![X376:$i]:(((X374 @ X376)=>((X375)=(X376))))))=>?[X377:$i]:(((X374 @ X377)&![X378:$i]:(((X374 @ X378)=>((X377)=(X378))))))))=>(![X379:$o, X380:$i]:(((in @ X380 @ (prop2set @ ((X379))))=>(X379)))=>(![X624:$i]:(((in @ X624 @ emptyset)=>![X625:$o]:((X625))))=>(![X623:$i]:(((in @ X623 @ emptyset)=>~($true)))=>(![X622:$i]:(~(in @ X622 @ emptyset))=>(![X381:$i > $o]:((?[X382:$i]:(((X381 @ X382)&![X383:$i]:(((X381 @ X383)=>((X382)=(X383))))))=>?[X384:$i]:((X381 @ X384))))=>(![X385:$i, X386:$i]:((![X387:$i]:(((in @ X387 @ X385)=>(in @ X387 @ X386)))=>(![X388:$i]:(((in @ X388 @ X386)=>(in @ X388 @ X385)))=>((X385)=(X386)))))=>(![X620:$i]:((![X621:$i]:(~(in @ X621 @ X620))=>((X620)=(emptyset))))=>(![X389:$i]:((![X390:$i]:(~(in @ X390 @ X389))=>((X389)=(emptyset))))=>(![X617:$i, X618:$i > $o, X619:$i]:(((in @ X619 @ X617)=>((in @ X619 @ (dsetconstr @ X617 @ X618))<=>(X618 @ X619))))=>(![X391:$i]:((((X391)!=(emptyset))=>?[X392:$i]:((in @ X392 @ X391))))=>(![X614:$i, X615:$i > $o, X616:$i]:(((in @ X616 @ X614)=>((X615 @ X616)=>((dsetconstr @ X614 @ X615)!=(emptyset)))))=>(![X393:$i]:((?[X394:$i]:((in @ X394 @ X393))=>((X393)!=(emptyset))))=>(![X612:$i, X613:$i]:((in @ X612 @ (setadjoin @ X612 @ X613)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X609:$i, X610:$i, X611:$i]:(((in @ X611 @ X610)=>(in @ X611 @ (setadjoin @ X609 @ X610))))=>(![X395:$i, X396:$i, X397:$i]:(((in @ X397 @ (setadjoin @ X395 @ X396))=>![X398:$o]:(((((X397)=(X395))=>(X398))=>(((in @ X397 @ X396)=>(X398))=>(X398))))))=>(![X606:$i, X607:$i, X608:$i]:(((in @ X608 @ (setadjoin @ X606 @ X607))=>(((X608)=(X606))|(in @ X608 @ X607))))=>(![X399:$i]:(((dsetconstr @ X399 @ (^[Z0/* 1 */:$i]:($true)))=(X399)))=>(![X603:$i, X604:$i]:((![X605:$i]:(((in @ X605 @ X604)=>(in @ X605 @ X603)))=>(in @ X604 @ (powerset @ X603))))=>(![X602:$i]:((in @ emptyset @ (powerset @ X602)))=>(![X601:$i]:((in @ emptyset @ (powerset @ X601)))=>(![X598:$i, X599:$i, X600:$i]:(((in @ X599 @ (powerset @ X598))=>((in @ X600 @ X599)=>(in @ X600 @ X598))))=>(![X595:$i, X596:$i, X597:$i]:(((in @ X596 @ X597)=>((in @ X597 @ X595)=>(in @ X596 @ (setunion @ X595)))))=>(![X591:$i, X592:$i]:(((in @ X592 @ (setunion @ X591))=>![X593:$o]:((![X594:$i]:(((in @ X592 @ X594)=>((in @ X594 @ X591)=>(X593))))=>(X593)))))=>(![X589:$i, X590:$i]:(((in @ X590 @ X589)=>(in @ X590 @ (powerset @ (setunion @ X589)))))=>(![X584:$i > $o]:((?[X585:$i]:(((X584 @ X585)&![X586:$i]:(((X584 @ X586)=>((X585)=(X586))))))=>?[X587:$i]:(![X588:$i]:(((X584 @ X588)<=>((X588)=(X587)))))))=>(![X400:$i]:((((X400)!=(emptyset))=>?[X401:$i]:(((in @ X401 @ X400)&$true))))=>(![X582:$i, X583:$i]:(((in @ X582 @ (setadjoin @ X583 @ emptyset))=>((X582)=(X583))))=>(![X580:$i, X581:$i]:((((X580)!=(X581))=>~(in @ X581 @ (setadjoin @ X580 @ emptyset))))=>(![X578:$i, X579:$i]:((((X578)=(X579))=>(in @ X578 @ (setadjoin @ X579 @ emptyset))))=>(![X576:$i, X577:$i]:(((in @ X576 @ (setadjoin @ X577 @ emptyset))=>(in @ X577 @ (setadjoin @ X576 @ emptyset))))=>(![X573:$i, X574:$i, X575:$i]:(((in @ X575 @ (setadjoin @ X573 @ (setadjoin @ X574 @ emptyset)))=>(((X575)=(X573))|((X575)=(X574)))))=>(![X571:$i, X572:$i]:((in @ X571 @ (setadjoin @ X571 @ (setadjoin @ X572 @ emptyset))))=>(![X569:$i, X570:$i]:((in @ X570 @ (setadjoin @ X569 @ (setadjoin @ X570 @ emptyset))))=>(![X402:$i, X403:$i > $o]:((?[X404:$i]:(((in @ X404 @ X402)&(X403 @ X404)))=>(((dsetconstr @ X402 @ X403)=(emptyset))=>~($true))))=>(![X567:$i > $o, X568:$i]:(((in @ X568 @ emptyset)=>(X567 @ X568)))=>(![X405:$i, X406:$i > $o]:((~(![X407:$i]:(((in @ X407 @ X405)=>(X406 @ X407))))=>?[X408:$i]:(((in @ X408 @ X405)&~((X406 @ X408))))))=>(![X409:$i, X410:$i > $o]:((![X411:$i]:(((in @ X411 @ X409)=>~((X410 @ X411))))=>~(?[X412:$i]:(((in @ X412 @ X409)&(X410 @ X412))))))=>(![X563:$i, X564:$i > $o]:((~(?[X565:$i]:(((in @ X565 @ X563)&(X564 @ X565))))=>![X566:$i]:(((in @ X566 @ X563)=>~((X564 @ X566))))))=>(![X559:$i, X560:$i > $o]:((?[X561:$i]:(((in @ X561 @ X559)&~((X560 @ X561))))=>~(![X562:$i]:(((in @ X562 @ X559)=>(X560 @ X562))))))=>(![X558:$o]:(((X558)=>(in @ emptyset @ (prop2set @ ((X558))))))=>(![X557:$o]:(((X557)=>(set2prop @ (prop2set @ ((X557))))))=>(![X553:$i, X554:$i > $o]:((~(?[X555:$i]:(((in @ X555 @ X553)&(X554 @ X555))))=>![X556:$i]:(((in @ X556 @ X553)=>~((X554 @ X556))))))=>(![X549:$i, X550:$i > $o]:((~(![X551:$i]:(((in @ X551 @ X549)=>(X550 @ X551))))=>?[X552:$i]:(((in @ X552 @ X549)&~((X550 @ X552))))))=>(![X413:$i > $o]:((?[X414:$i]:(((X413 @ X414)&![X415:$i]:(((X413 @ X415)=>((X414)=(X415))))))=>?[X416:$i]:(((X413 @ X416)&![X417:$i]:(((X413 @ X417)=>((X416)=(X417))))))))=>(![X418:$i > $o]:((?[X419:$i]:((X418 @ X419))=>(![X420:$i, X421:$i]:(((X418 @ X420)=>((X418 @ 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X429:$i]:((((X428)=(X429))=>![X430:$i, X431:$i]:((((X430)=(X431))=>((setadjoin @ X428 @ X430)=(setadjoin @ X429 @ X431))))))=>(![X432:$i, X433:$i]:((((X432)=(X433))=>((powerset @ X432)=(powerset @ X433))))=>(![X434:$i, X435:$i]:((((X434)=(X435))=>((setunion @ X434)=(setunion @ X435))))=>(((omega)=(omega))=>(![X436:$i > $o]:((?[X437:$i]:(((X436 @ X437)&![X438:$i]:(((X436 @ X438)=>((X437)=(X438))))))=>![X439:$i, X440:$i]:(((X436 @ X439)=>((X436 @ X440)=>((X439)=(X440)))))))=>(![X519:$i > $o, X520:$i > $o]:((![X521:$i, X522:$i]:((((X521)=(X522))=>((X519 @ X521)<=>(X520 @ X522))))=>(?[X523:$i]:(((X519 @ X523)&![X524:$i]:(((X519 @ X524)=>((X523)=(X524))))))=>(?[X525:$i]:(((X520 @ X525)&![X526:$i]:(((X520 @ X526)=>((X525)=(X526))))))=>((descr @ X519)=(descr @ X520))))))=>(![X441:$i, X442:$i]:((((X441)=(X442))=>![X443:$i > $o, X444:$i > $o]:((![X445:$i]:(((in @ X445 @ X441)=>![X446:$i]:(((in @ X446 @ X442)=>(((X445)=(X446))=>((X443 @ X445)<=>(X444 @ X446)))))))=>((dsetconstr @ X441 @ X443)=(dsetconstr @ X442 @ X444))))))=>(![X447:$i, X448:$i]:((![X449:$i]:(((in @ X449 @ X447)=>(in @ X449 @ X448)))=>(subset @ X447 @ X448)))=>(![X450:$i, X451:$i]:((((X450)=(X451))=>(subset @ X451 @ X450)))=>(![X452:$i, X453:$i]:((((X452)=(X453))=>(subset @ X452 @ X453)))=>(![X516:$i, X517:$i]:((![X518:$i]:(((in @ X518 @ X516)=>(in @ X518 @ X517)))=>(subset @ X516 @ X517)))=>(![X454:$i]:((subset @ emptyset @ X454))=>(![X455:$i, X456:$i, X457:$i]:(((subset @ X455 @ X456)=>((in @ X457 @ X455)=>(in @ X457 @ X456))))=>(![X513:$i, X514:$i, X515:$i]:(((subset @ X513 @ X514)=>(~(in @ X515 @ X514)=>~(in @ X515 @ X513))))=>(![X458:$i, X459:$i, X460:$i]:(((in @ X460 @ X458)=>(~(in @ X460 @ X459)=>~(subset @ X458 @ X459))))=>(![X511:$i, X512:$i]:((~(subset @ X511 @ X512)=>((X511)!=(X512))))=>(![X508:$i, X509:$i, X510:$i]:(((in @ X510 @ X508)=>(~(in @ X510 @ X509)=>((X508)!=(X509)))))=>(![X461:$i]:((subset @ X461 @ X461))=>(![X462:$i, X463:$i, X464:$i]:(((subset @ X462 @ X463)=>((subset @ X463 @ X464)=>(subset @ X462 @ X464))))=>(![X506:$i, X507:$i]:((subset @ X507 @ (setadjoin @ X506 @ X507)))=>(![X503:$i, X504:$i, X505:$i]:(((subset @ X503 @ X505)=>(subset @ X503 @ (setadjoin @ X504 @ X505))))=>(![X465:$i, X466:$i]:(((subset @ X465 @ X466)=>(in @ X465 @ (powerset @ X466))))=>(![X467:$i, X468:$i]:(((subset @ X467 @ X468)=>((subset @ X468 @ X467)=>((X467)=(X468)))))=>(![X502:$i]:(((subset @ X502 @ emptyset)=>((X502)=(emptyset))))=>(![X500:$i, X501:$i]:(((subset @ X501 @ X500)=>(in @ X501 @ (powerset @ X500))))=>(![X498:$i, X499:$i]:(((in @ X499 @ (powerset @ X498))=>(subset @ X499 @ X498)))=>(![X497:$i]:((in @ X497 @ (powerset @ X497)))=>(![X495:$i, X496:$i]:(((subset @ X495 @ X496)=>(subset @ (powerset @ X495) @ (powerset @ X496))))=>(![X493:$i, X494:$i > $o]:((in @ (dsetconstr @ X493 @ X494) @ (powerset @ X493)))=>(![X491:$i, X492:$i > $o]:((subset @ (dsetconstr @ X491 @ X492) @ X491))=>(![X488:$i, X489:$i, X490:$i]:(((in @ X490 @ X488)=>(in @ X490 @ (binunion @ X488 @ X489))))=>(![X486:$i, X487:$i]:((in @ X487 @ (setadjoin @ X486 @ (setadjoin @ X487 @ emptyset))))=>(![X469:$i, X470:$i, X471:$i]:(((in @ X471 @ X470)=>(in @ X471 @ (binunion @ X469 @ X470))))=>(![X482:$i, X483:$i, X484:$i, X485:$o]:(((in @ X484 @ (binunion @ X482 @ X483))=>(((in @ X484 @ X482)=>(X485))=>(((in @ X484 @ X483)=>(X485))=>(X485)))))=>(![X479:$i, X480:$i, X481:$i]:(((in @ X481 @ (binunion @ X479 @ X480))=>((in @ X481 @ X479)|(in @ X481 @ X480))))=>(![X472:$i, X473:$i]:((subset @ X472 @ (binunion @ X472 @ X473)))=>(![X477:$i, X478:$i]:((subset @ X478 @ (binunion @ X477 @ X478)))=>(![X474:$i, X475:$i, X476:$i]:(((in @ X476 @ X474)=>((in @ X476 @ X475)=>(in @ X476 @ (binintersect @ X474 @ X475)))))=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ 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(assume_negation,[status(cth)],[binintersectSubset5]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_124]), foundationAx]), wellorderingAx]), c_0_125]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_130]), setext]), emptyI]), noeltsimpempty]), c_0_131]), c_0_132]), c_0_133]), c_0_134]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_135]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_136]), c_0_137]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_138]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_139]), c_0_140]), c_0_141]), inCongP]), in__Cong]), c_0_142]), c_0_143]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_144]), c_0_145]), c_0_146]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_147]), c_0_148]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI])])]), c_0_149])). 1056.11/133.12 thf(c_0_151, negated_conjecture, ![X651:$i, X652:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X664:$i, X665:$i, X667:$i, X668:$i, X669:$i, X670:$i, X671:$i, X673:$i, X674:$i > $i > $o, X675:$i, X677:$i, X680:$i, X682:$i, X683:$i, X684:$i, X685:$i, X687:$i, X688:$i > $o, X689:$i, X691:$i, X692:$i > $o, X693:$i, X694:$i, X695:$i > $o, X696:$i, X697:$i, X698:$i > $o, X699:$i, X700:$i > $o, X701:$i, X704:$i, X705:$o, X706:$i, X707:$i, X708:$o, X709:$i, X710:$i, X711:$i > $o, X712:$i, X715:$i, X716:$i, X719:$i, X721:$i, X723:$i, X724:$i > $o, X725:$i, X726:$i, X728:$i, X729:$i > $o, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$o, X742:$i, X743:$i, X744:$i, X745:$i, X746:$i, X747:$i, X749:$i, X750:$i, X751:$i, X752:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$o, X761:$i, X762:$i, X763:$i > $o, X764:$i, X767:$i, X768:$i, X769:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X776:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i > $o, X788:$i, X789:$i > $o, X790:$i, X791:$i, X792:$i > $o, X793:$i, X795:$i, X796:$i > $o, X798:$i, X799:$i, X800:$i > $o, X802:$i, X803:$i, X804:$i > $o, X805:$i, X807:$o, X808:$o, X809:$i, X810:$i > $o, X812:$i, X813:$i, X814:$i > $o, X815:$i, X817:$i > $o, X818:$i, X821:$i, X822:$i > $o, X823:$i, X827:$i, X828:$i > $o, X829:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i > $o, X842:$i, X844:$i, X845:$i, X846:$i > $o, X847:$i > $o, X850:$i, X853:$i, X854:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$i, X865:$i, X866:$i > $o, X867:$i, X869:$i, X870:$i, X871:$i > $o, X872:$i > $o, X875:$i, X877:$i, X879:$i, X880:$i, X881:$i > $o, X882:$i > $o, X885:$i, X886:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X906:$i, X907:$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, X924:$i, X925:$i, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i > $o, X933:$i, X934:$i > $o, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$o, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i]:((((~(in @ (esk1_2 @ X651 @ X652) @ X651)|~(in @ (esk1_2 @ X651 @ X652) @ X652)|((X651)=(X652)))&((in @ (esk1_2 @ X651 @ X652) @ X651)|(in @ (esk1_2 @ X651 @ X652) @ X652)|((X651)=(X652))))&(~(in @ X654 @ emptyset)&(((~(in @ X657 @ (setadjoin @ X655 @ X656))|(((X657)=(X655))|(in @ X657 @ X656)))&((((X657)!=(X655))|(in @ X657 @ (setadjoin @ X655 @ X656)))&(~(in @ X657 @ X656)|(in @ X657 @ (setadjoin @ X655 @ X656)))))&(((~(in @ X659 @ (powerset @ X658))|(~(in @ X660 @ X659)|(in @ X660 @ X658)))&(((in @ (esk2_2 @ X661 @ X662) @ X662)|(in @ X662 @ (powerset @ X661)))&(~(in @ (esk2_2 @ X661 @ X662) @ X661)|(in @ X662 @ (powerset @ X661)))))&(((((in @ X665 @ (esk3_2 @ X664 @ X665))|~(in @ X665 @ (setunion @ X664)))&((in @ (esk3_2 @ X664 @ X665) @ X664)|~(in @ X665 @ (setunion @ X664))))&(~(in @ X668 @ X669)|~(in @ X669 @ X667)|(in @ X668 @ (setunion @ X667))))&((in @ emptyset @ omega)&((~(in @ X670 @ omega)|(in @ (setadjoin @ X670 @ X670) @ omega))&(((((in @ (esk4_1 @ X671) @ 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X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((esk46_2 @ X871 @ X872)=(esk47_2 @ X871 @ X872)))))&(((((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|(~(X871 @ (esk46_2 @ X871 @ X872))|~(X872 @ (esk47_2 @ X871 @ X872))))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|(~(X871 @ (esk46_2 @ X871 @ X872))|~(X872 @ (esk47_2 @ X871 @ X872)))))&(((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|(~(X871 @ (esk46_2 @ X871 @ X872))|~(X872 @ (esk47_2 @ X871 @ X872))))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|(~(X871 @ (esk46_2 @ X871 @ X872))|~(X872 @ (esk47_2 @ X871 @ X872))))))&((((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((X871 @ (esk46_2 @ X871 @ X872))|(X872 @ (esk47_2 @ X871 @ X872))))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((X871 @ (esk46_2 @ X871 @ X872))|(X872 @ (esk47_2 @ X871 @ X872)))))&(((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((X871 @ (esk46_2 @ X871 @ X872))|(X872 @ (esk47_2 @ X871 @ X872))))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((X871 @ (esk46_2 @ X871 @ X872))|(X872 @ (esk47_2 @ X871 @ X872))))))))&((((in @ (esk50_4 @ X879 @ X880 @ X881 @ X882) @ X879)|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))&(((in @ (esk51_4 @ X879 @ X880 @ X881 @ X882) @ X880)|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))&((((esk50_4 @ X879 @ X880 @ X881 @ X882)=(esk51_4 @ X879 @ X880 @ X881 @ X882))|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))&((~(X881 @ (esk50_4 @ X879 @ X880 @ X881 @ X882))|~(X882 @ (esk51_4 @ X879 @ X880 @ X881 @ X882))|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))&((X881 @ (esk50_4 @ X879 @ X880 @ X881 @ X882))|(X882 @ (esk51_4 @ X879 @ X880 @ X881 @ X882))|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))))))&((((in @ (esk52_2 @ X885 @ X886) @ X885)|(subset @ X885 @ X886))&(~(in @ (esk52_2 @ X885 @ X886) @ X886)|(subset @ X885 @ X886)))&((((X888)!=(X889))|(subset @ X889 @ X888))&((((X890)!=(X891))|(subset @ X890 @ X891))&((((in @ (esk53_2 @ X892 @ X893) @ X892)|(subset @ X892 @ X893))&(~(in @ (esk53_2 @ X892 @ X893) @ X893)|(subset @ X892 @ X893)))&((subset @ emptyset @ X895)&((~(subset @ X896 @ X897)|(~(in @ X898 @ X896)|(in @ X898 @ X897)))&((~(subset @ X899 @ X900)|((in @ X901 @ X900)|~(in @ X901 @ X899)))&((~(in @ X904 @ X902)|((in @ X904 @ X903)|~(subset @ X902 @ X903)))&(((subset @ X905 @ X906)|((X905)!=(X906)))&((~(in @ X909 @ X907)|((in @ X909 @ X908)|((X907)!=(X908))))&((subset @ X910 @ X910)&((~(subset @ X911 @ X912)|(~(subset @ X912 @ X913)|(subset @ X911 @ X913)))&((subset @ X915 @ (setadjoin @ X914 @ X915))&((~(subset @ X916 @ X918)|(subset @ X916 @ (setadjoin @ X917 @ X918)))&((~(subset @ X919 @ X920)|(in @ X919 @ (powerset @ X920)))&((~(subset @ X921 @ X922)|(~(subset @ X922 @ X921)|((X921)=(X922))))&((~(subset @ X923 @ emptyset)|((X923)=(emptyset)))&((~(subset @ X925 @ X924)|(in @ X925 @ (powerset @ X924)))&((~(in @ X927 @ (powerset @ X926))|(subset @ X927 @ X926))&((in @ X928 @ (powerset @ X928))&((~(subset @ X929 @ X930)|(subset @ (powerset @ X929) @ (powerset @ X930)))&((in @ (dsetconstr @ X931 @ X932) @ (powerset @ X931))&((subset @ (dsetconstr @ X933 @ X934) @ X933)&((~(in @ X937 @ X935)|(in @ X937 @ (binunion @ X935 @ X936)))&((in @ X939 @ (setadjoin @ X938 @ (setadjoin @ X939 @ emptyset)))&((~(in @ X942 @ X941)|(in @ X942 @ (binunion @ X940 @ X941)))&(((((in @ X945 @ X944)|(X946)|(in @ X945 @ X943)|~(in @ X945 @ (binunion @ X943 @ X944)))&(~(X946)|(X946)|(in @ X945 @ X943)|~(in @ X945 @ (binunion @ X943 @ X944))))&(((in @ X945 @ X944)|(X946)|~(X946)|~(in @ X945 @ (binunion @ X943 @ X944)))&(~(X946)|(X946)|~(X946)|~(in @ X945 @ (binunion @ X943 @ X944)))))&((~(in @ X949 @ (binunion @ X947 @ X948))|((in @ X949 @ X947)|(in @ X949 @ X948)))&((subset @ X950 @ (binunion @ X950 @ X951))&((subset @ X953 @ (binunion @ X952 @ X953))&((~(in @ X956 @ X954)|(~(in @ X956 @ X955)|(in @ X956 @ (binintersect @ X954 @ X955))))&((subset @ esk56_0 @ esk54_0)&((subset @ esk56_0 @ esk55_0)&~(subset @ esk56_0 @ (binintersect @ esk54_0 @ esk55_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_150])])])])])])])). 1056.11/133.12 thf(c_0_152, negated_conjecture, ~((subset @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0))), inference(split_conjunct,[status(thm)],[c_0_151])). 1056.11/133.12 thf(c_0_153, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_151])). 1056.11/133.12 thf(c_0_154, negated_conjecture, ~((in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ (binintersect @ esk54_0 @ esk55_0))), inference(spm,[status(thm)],[c_0_152, c_0_153])). 1056.11/133.12 thf(c_0_155, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (binintersect @ X3 @ X4))|~((in @ X2 @ X3))|~((in @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_151])). 1056.11/133.12 thf(c_0_156, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_151])). 1056.11/133.12 thf(c_0_157, negated_conjecture, (subset @ esk56_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_151])). 1056.11/133.12 thf(c_0_158, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_151])). 1056.11/133.12 thf(c_0_159, negated_conjecture, (~((in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ esk55_0))|~((in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ esk54_0))), inference(spm,[status(thm)],[c_0_154, c_0_155])). 1056.11/133.12 thf(c_0_160, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk55_0)|~((in @ X2 @ esk56_0)))), inference(spm,[status(thm)],[c_0_156, c_0_157])). 1056.11/133.12 thf(c_0_161, negated_conjecture, (in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ esk56_0), inference(spm,[status(thm)],[c_0_152, c_0_158])). 1056.11/133.12 thf(c_0_162, negated_conjecture, (subset @ esk56_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_151])). 1056.11/133.12 thf(c_0_163, negated_conjecture, ~((in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ esk54_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_160]), c_0_161])])). 1056.11/133.12 thf(c_0_164, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk54_0)|~((in @ X2 @ esk56_0)))), inference(spm,[status(thm)],[c_0_156, c_0_162])). 1056.11/133.12 thf(c_0_165, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_164]), c_0_161])]), ['proof']). 1056.11/133.12 # SZS output end CNFRefutation 1056.11/133.12 # Parsed axioms : 233 1056.11/133.12 # Removed by relevancy pruning/SinE : 0 1056.11/133.12 # Initial clauses : 346 1056.11/133.12 # Removed in clause preprocessing : 140 1056.11/133.12 # Initial clauses in saturation : 206 1056.11/133.12 # Processed clauses : 478 1056.11/133.12 # ...of these trivial : 12 1056.11/133.12 # ...subsumed : 47 1056.11/133.12 # ...remaining for further processing : 419 1056.11/133.12 # Other redundant clauses eliminated : 16 1056.11/133.12 # Clauses deleted for lack of memory : 0 1056.11/133.12 # Backward-subsumed : 3 1056.11/133.12 # Backward-rewritten : 5 1056.11/133.12 # Generated clauses : 1330 1056.11/133.12 # ...of the previous two non-redundant : 1241 1056.11/133.12 # ...aggressively subsumed : 0 1056.11/133.12 # Contextual simplify-reflections : 0 1056.11/133.12 # Paramodulations : 1311 1056.11/133.12 # Factorizations : 0 1056.11/133.12 # NegExts : 0 1056.11/133.12 # Equation resolutions : 16 1056.11/133.12 # Disequality decompositions : 0 1056.11/133.12 # Total rewrite steps : 152 1056.11/133.12 # ...of those cached : 110 1056.11/133.12 # Propositional unsat checks : 0 1056.11/133.12 # Propositional check models : 0 1056.11/133.12 # Propositional check unsatisfiable : 0 1056.11/133.12 # Propositional clauses : 0 1056.11/133.12 # Propositional clauses after purity: 0 1056.11/133.12 # Propositional unsat core size : 0 1056.11/133.12 # Propositional preprocessing time : 0.000 1056.11/133.12 # Propositional encoding time : 0.000 1056.11/133.12 # Propositional solver time : 0.000 1056.11/133.12 # Success case prop preproc time : 0.000 1056.11/133.12 # Success case prop encoding time : 0.000 1056.11/133.12 # Success case prop solver time : 0.000 1056.11/133.12 # Current number of processed clauses : 219 1056.11/133.12 # Positive orientable unit clauses : 54 1056.11/133.12 # Positive unorientable unit clauses: 1 1056.11/133.12 # Negative unit clauses : 8 1056.11/133.12 # Non-unit-clauses : 156 1056.11/133.12 # Current number of unprocessed clauses: 1133 1056.11/133.12 # ...number of literals in the above : 2908 1056.11/133.12 # Current number of archived formulas : 0 1056.11/133.12 # Current number of archived clauses : 187 1056.11/133.12 # Clause-clause subsumption calls (NU) : 9935 1056.11/133.12 # Rec. Clause-clause subsumption calls : 4114 1056.11/133.12 # Non-unit clause-clause subsumptions : 24 1056.11/133.12 # Unit Clause-clause subsumption calls : 580 1056.11/133.12 # Rewrite failures with RHS unbound : 0 1056.11/133.12 # BW rewrite match attempts : 16 1056.11/133.12 # BW rewrite match successes : 7 1056.11/133.12 # Condensation attempts : 0 1056.11/133.12 # Condensation successes : 0 1056.11/133.12 # Termbank termtop insertions : 66487 1056.11/133.12 # Search garbage collected termcells : 11247 1056.11/133.12 1056.11/133.12 # ------------------------------------------------- 1056.11/133.12 # User time : 128.510 s 1056.11/133.12 # System time : 1.737 s 1056.11/133.12 # Total time : 130.247 s 1056.11/133.12 # Maximum resident set size: 4640 pages 1056.11/133.12 1056.11/133.12 # ------------------------------------------------- 1056.11/133.12 # User time : 128.515 s 1056.11/133.12 # System time : 1.744 s 1056.11/133.12 # Total time : 130.259 s 1056.11/133.12 # Maximum resident set size: 2064 pages 1056.11/133.12 % E exiting 1056.11/133.12 % E exiting 1056.11/133.12 EOF