0.11/0.14 % Problem : Vampire---4.8_10427 : TPTP v0.0.0. Released v0.0.0. 0.11/0.15 % Command : run_E %s %d THM 0.14/0.36 % Computer : n018.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Mon Jul 3 13:14:01 EDT 2023 0.14/0.36 % CPUTime : 0.22/0.51 Running higher-order theorem provingRunning: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427 0.22/0.51 # Version: 3.1pre001-ho 0.22/0.57 # Preprocessing class: HSMSSLSSLLLCHFA. 0.22/0.57 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.57 # Starting new_ho_10 with 900s (5) cores 0.22/0.57 # Starting sh5l with 180s (1) cores 0.22/0.57 # Starting new_bool_1 with 180s (1) cores 0.22/0.57 # Starting new_bool_2 with 180s (1) cores 0.22/0.57 # new_bool_1 with pid 10608 completed with status 0 0.22/0.57 # Result found by new_bool_1 0.22/0.57 # Preprocessing class: HSMSSLSSLLLCHFA. 0.22/0.57 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.57 # Starting new_ho_10 with 900s (5) cores 0.22/0.57 # Starting sh5l with 180s (1) cores 0.22/0.57 # Starting new_bool_1 with 180s (1) cores 0.22/0.57 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.22/0.57 # Search class: HGHSM-FSLM31-SHFMMMBN 0.22/0.57 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.22/0.57 # Starting ho_unfolding_3 with 98s (1) cores 0.22/0.57 # ho_unfolding_3 with pid 10610 completed with status 0 0.22/0.57 # Result found by ho_unfolding_3 0.22/0.57 # Preprocessing class: HSMSSLSSLLLCHFA. 0.22/0.57 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.22/0.57 # Starting new_ho_10 with 900s (5) cores 0.22/0.57 # Starting sh5l with 180s (1) cores 0.22/0.57 # Starting new_bool_1 with 180s (1) cores 0.22/0.57 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.22/0.57 # Search class: HGHSM-FSLM31-SHFMMMBN 0.22/0.57 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.22/0.57 # Starting ho_unfolding_3 with 98s (1) cores 0.22/0.57 # Preprocessing time : 0.005 s 0.22/0.57 # Presaturation interreduction done 0.22/0.57 0.22/0.57 # Proof found! 0.22/0.57 # SZS status Theorem 0.22/0.57 # SZS output start CNFRefutation 0.22/0.57 thf(decl_22, type, in: $i > $i > $o). 0.22/0.57 thf(decl_23, type, exu: ($i > $o) > $o). 0.22/0.57 thf(decl_24, type, setextAx: $o). 0.22/0.57 thf(decl_25, type, emptyset: $i). 0.22/0.57 thf(decl_26, type, emptysetAx: $o). 0.22/0.57 thf(decl_27, type, setadjoin: $i > $i > $i). 0.22/0.57 thf(decl_28, type, setadjoinAx: $o). 0.22/0.57 thf(decl_29, type, powerset: $i > $i). 0.22/0.57 thf(decl_30, type, powersetAx: $o). 0.22/0.57 thf(decl_31, type, setunion: $i > $i). 0.22/0.57 thf(decl_32, type, setunionAx: $o). 0.22/0.57 thf(decl_33, type, omega: $i). 0.22/0.57 thf(decl_34, type, omega0Ax: $o). 0.22/0.57 thf(decl_35, type, omegaSAx: $o). 0.22/0.57 thf(decl_36, type, omegaIndAx: $o). 0.22/0.57 thf(decl_37, type, replAx: $o). 0.22/0.57 thf(decl_38, type, foundationAx: $o). 0.22/0.57 thf(decl_39, type, wellorderingAx: $o). 0.22/0.57 thf(decl_40, type, descr: ($i > $o) > $i). 0.22/0.57 thf(decl_41, type, descrp: $o). 0.22/0.57 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.22/0.57 thf(decl_43, type, dsetconstrI: $o). 0.22/0.57 thf(decl_44, type, dsetconstrEL: $o). 0.22/0.57 thf(decl_45, type, dsetconstrER: $o). 0.22/0.57 thf(decl_46, type, exuE1: $o). 0.22/0.57 thf(decl_47, type, prop2set: $o > $i). 0.22/0.57 thf(decl_48, type, prop2setE: $o). 0.22/0.57 thf(decl_49, type, emptysetE: $o). 0.22/0.57 thf(decl_50, type, emptysetimpfalse: $o). 0.22/0.57 thf(decl_51, type, notinemptyset: $o). 0.22/0.57 thf(decl_52, type, exuE3e: $o). 0.22/0.57 thf(decl_53, type, setext: $o). 0.22/0.57 thf(decl_54, type, emptyI: $o). 0.22/0.57 thf(decl_55, type, noeltsimpempty: $o). 0.22/0.57 thf(decl_56, type, setbeta: $o). 0.22/0.57 thf(decl_57, type, nonempty: $i > $o). 0.22/0.57 thf(decl_58, type, nonemptyE1: $o). 0.22/0.57 thf(decl_59, type, nonemptyI: $o). 0.22/0.57 thf(decl_60, type, nonemptyI1: $o). 0.22/0.57 thf(decl_61, type, setadjoinIL: $o). 0.22/0.57 thf(decl_62, type, emptyinunitempty: $o). 0.22/0.57 thf(decl_63, type, setadjoinIR: $o). 0.22/0.57 thf(decl_64, type, setadjoinE: $o). 0.22/0.57 thf(decl_65, type, setadjoinOr: $o). 0.22/0.57 thf(decl_66, type, setoftrueEq: $o). 0.22/0.57 thf(decl_67, type, powersetI: $o). 0.22/0.57 thf(decl_68, type, emptyinPowerset: $o). 0.22/0.57 thf(decl_69, type, emptyInPowerset: $o). 0.22/0.57 thf(decl_70, type, powersetE: $o). 0.22/0.57 thf(decl_71, type, setunionI: $o). 0.22/0.57 thf(decl_72, type, setunionE: $o). 0.22/0.57 thf(decl_73, type, subPowSU: $o). 0.22/0.57 thf(decl_74, type, exuE2: $o). 0.22/0.57 thf(decl_75, type, nonemptyImpWitness: $o). 0.22/0.57 thf(decl_76, type, uniqinunit: $o). 0.22/0.57 thf(decl_77, type, notinsingleton: $o). 0.22/0.57 thf(decl_78, type, eqinunit: $o). 0.22/0.57 thf(decl_79, type, singletonsswitch: $o). 0.22/0.57 thf(decl_80, type, upairsetE: $o). 0.22/0.57 thf(decl_81, type, upairsetIL: $o). 0.22/0.57 thf(decl_82, type, upairsetIR: $o). 0.22/0.57 thf(decl_83, type, emptyE1: $o). 0.22/0.57 thf(decl_84, type, vacuousDall: $o). 0.22/0.57 thf(decl_85, type, quantDeMorgan1: $o). 0.22/0.57 thf(decl_86, type, quantDeMorgan2: $o). 0.22/0.57 thf(decl_87, type, quantDeMorgan3: $o). 0.22/0.57 thf(decl_88, type, quantDeMorgan4: $o). 0.22/0.57 thf(decl_89, type, prop2setI: $o). 0.22/0.57 thf(decl_91, type, prop2set2propI: $o). 0.22/0.57 thf(decl_92, type, notdexE: $o). 0.22/0.57 thf(decl_93, type, notdallE: $o). 0.22/0.57 thf(decl_94, type, exuI1: $o). 0.22/0.57 thf(decl_95, type, exuI3: $o). 0.22/0.57 thf(decl_96, type, exuI2: $o). 0.22/0.57 thf(decl_97, type, inCongP: $o). 0.22/0.57 thf(decl_98, type, in__Cong: $o). 0.22/0.57 thf(decl_99, type, exuE3u: $o). 0.22/0.57 thf(decl_100, type, exu__Cong: $o). 0.22/0.57 thf(decl_101, type, emptyset__Cong: $o). 0.22/0.57 thf(decl_102, type, setadjoin__Cong: $o). 0.22/0.57 thf(decl_103, type, powerset__Cong: $o). 0.22/0.57 thf(decl_104, type, setunion__Cong: $o). 0.22/0.57 thf(decl_105, type, omega__Cong: $o). 0.22/0.57 thf(decl_106, type, exuEu: $o). 0.22/0.57 thf(decl_107, type, descr__Cong: $o). 0.22/0.57 thf(decl_108, type, dsetconstr__Cong: $o). 0.22/0.57 thf(decl_109, type, subset: $i > $i > $o). 0.22/0.57 thf(decl_112, type, subsetI1: $o). 0.22/0.57 thf(decl_113, type, eqimpsubset2: $o). 0.22/0.57 thf(decl_114, type, eqimpsubset1: $o). 0.22/0.57 thf(decl_115, type, subsetI2: $o). 0.22/0.57 thf(decl_116, type, emptysetsubset: $o). 0.22/0.57 thf(decl_117, type, subsetE: $o). 0.22/0.57 thf(decl_118, type, subsetE2: $o). 0.22/0.57 thf(decl_119, type, epred1_0: $o). 0.22/0.57 thf(decl_120, type, esk1_2: $i > $i > $i). 0.22/0.57 thf(decl_121, type, esk2_2: $i > $i > $i). 0.22/0.57 thf(decl_122, type, esk3_2: $i > $i > $i). 0.22/0.57 thf(decl_123, type, esk4_1: $i > $i). 0.22/0.57 thf(decl_124, type, esk5_2: ($i > $i > $o) > $i > $i). 0.22/0.57 thf(decl_125, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.22/0.57 thf(decl_126, type, esk7_2: ($i > $i > $o) > $i > $i). 0.22/0.57 thf(decl_127, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.22/0.57 thf(decl_128, type, esk9_1: $i > $i). 0.22/0.57 thf(decl_129, type, esk10_2: ($i > $o) > $i > $i). 0.22/0.57 thf(decl_130, type, esk11_2: ($i > $o) > $i > $i). 0.22/0.57 thf(decl_131, type, esk12_1: ($i > $o) > $i). 0.22/0.57 thf(decl_132, type, esk13_2: ($i > $o) > $i > $i). 0.22/0.57 thf(decl_133, type, esk14_1: ($i > $o) > $i). 0.22/0.57 thf(decl_134, type, esk15_2: $i > $i > $i). 0.22/0.57 thf(decl_135, type, esk16_2: $i > $i > $i). 0.22/0.57 thf(decl_136, type, esk17_1: $i > $i). 0.22/0.57 thf(decl_137, type, esk18_1: $i > $i). 0.22/0.57 thf(decl_138, type, esk19_1: $i > $i). 0.22/0.57 thf(decl_139, type, esk20_2: $i > $i > $i). 0.22/0.57 thf(decl_140, type, esk21_3: $i > $i > $o > $i). 0.22/0.57 thf(decl_141, type, esk22_2: ($i > $o) > $i > $i). 0.22/0.57 thf(decl_142, type, esk23_1: ($i > $o) > $i). 0.22/0.57 thf(decl_143, type, esk24_1: $i > $i). 0.22/0.57 thf(decl_144, type, esk25_2: $i > ($i > $o) > $i). 0.22/0.57 thf(decl_145, type, esk26_2: $i > ($i > $o) > $i). 0.22/0.57 thf(decl_146, type, esk27_2: $i > ($i > $o) > $i). 0.22/0.57 thf(decl_147, type, esk28_2: $i > ($i > $o) > $i). 0.22/0.57 thf(decl_148, type, esk29_2: $i > ($i > $o) > $i). 0.22/0.57 thf(decl_149, type, esk30_2: $i > ($i > $o) > $i). 0.22/0.57 thf(decl_150, type, esk31_2: ($i > $o) > $i > $i). 0.22/0.57 thf(decl_151, type, esk32_1: ($i > $o) > $i). 0.22/0.57 thf(decl_152, type, esk33_1: ($i > $o) > $i). 0.22/0.57 thf(decl_153, type, esk34_1: ($i > $o) > $i). 0.22/0.57 thf(decl_154, type, esk35_1: ($i > $o) > $i). 0.22/0.57 thf(decl_155, type, esk36_2: ($i > $o) > $i > $i). 0.22/0.57 thf(decl_156, type, esk37_1: ($i > $o) > $i). 0.22/0.57 thf(decl_157, type, esk38_2: ($i > $o) > $i > $i). 0.22/0.57 thf(decl_158, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.22/0.57 thf(decl_159, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.22/0.57 thf(decl_160, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.22/0.57 thf(decl_161, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.22/0.57 thf(decl_162, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.22/0.57 thf(decl_163, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.22/0.57 thf(decl_164, type, esk45_2: ($i > $o) > $i > $i). 0.22/0.57 thf(decl_165, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.22/0.57 thf(decl_166, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.22/0.57 thf(decl_167, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.22/0.57 thf(decl_168, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.22/0.57 thf(decl_169, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.22/0.57 thf(decl_170, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.22/0.57 thf(decl_171, type, esk52_2: $i > $i > $i). 0.22/0.57 thf(decl_172, type, esk53_2: $i > $i > $i). 0.22/0.57 thf(decl_173, type, esk54_0: $i). 0.22/0.57 thf(decl_174, type, esk55_0: $i). 0.22/0.57 thf(decl_175, type, esk56_0: $i). 0.22/0.57 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', nonempty)). 0.22/0.57 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exuE3e)). 0.22/0.57 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exu)). 0.22/0.57 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exuE2)). 0.22/0.57 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', replAx)). 0.22/0.57 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exuI1)). 0.22/0.57 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exuI3)). 0.22/0.57 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exuI2)). 0.22/0.57 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exu__Cong)). 0.22/0.57 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', descr__Cong)). 0.22/0.57 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exuEu)). 0.22/0.57 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exuE3u)). 0.22/0.57 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', nonemptyI)). 0.22/0.57 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', exuE1)). 0.22/0.57 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', descrp)). 0.22/0.57 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setoftrueEq)). 0.22/0.57 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', nonemptyI1)). 0.22/0.57 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', dsetconstrER)). 0.22/0.57 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', dsetconstrI)). 0.22/0.57 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', dsetconstr__Cong)). 0.22/0.57 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptyE1)). 0.22/0.57 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', nonemptyImpWitness)). 0.22/0.57 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', nonemptyE1)). 0.22/0.57 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setbeta)). 0.22/0.57 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', dsetconstrEL)). 0.22/0.57 thf(notsubsetI, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((((omegaIndAx)=>((((wellorderingAx)=>((descrp)=>(((dsetconstrEL)=>(((exuE1)=>((prop2setE)=>((((notinemptyset)=>(((((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>(((setadjoinIL)=>((emptyinunitempty)=>((((setadjoinOr)=>((((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>(((subPowSU)=>((exuE2)=>(((uniqinunit)=>((notinsingleton)=>((eqinunit)=>(((((upairsetIR)=>((((((quantDeMorgan3)=>((((prop2set2propI)=>((notdexE)=>(((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>(((exu__Cong)=>((((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((((((eqimpsubset2)=>(((subsetI2)=>((emptysetsubset)=>((![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))<=(subsetE2))<=(subsetE))))<=(eqimpsubset1)))<=(subsetI1))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu)))))<=(setadjoin__Cong))<=(emptyset__Cong)))<=(exuE3u)))))))<=(notdallE))))<=(prop2setI))<=(quantDeMorgan4)))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1)))<=(upairsetIL))<=(upairsetE))<=(singletonsswitch)))))<=(nonemptyImpWitness))))<=(setunionE))))))<=(powersetI))<=(setoftrueEq)))<=(setadjoinE))<=(setadjoinIR))))<=(nonemptyI1))))))<=(emptyI))<=(setext))<=(exuE3e)))<=(emptysetimpfalse))<=(emptysetE))))<=(dsetconstrER)))<=(dsetconstrI))))<=(foundationAx))<=(replAx)))<=(omegaSAx))<=(omega0Ax))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', notsubsetI)). 0.22/0.57 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptyinunitempty)). 0.22/0.57 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', omega0Ax)). 0.22/0.57 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', powersetI)). 0.22/0.57 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setadjoinIL)). 0.22/0.57 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptyInPowerset)). 0.22/0.57 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setadjoinE)). 0.22/0.57 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setadjoinIR)). 0.22/0.57 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', powersetE)). 0.22/0.57 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptyI)). 0.22/0.57 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setext)). 0.22/0.57 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setunionI)). 0.22/0.57 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptysetimpfalse)). 0.22/0.57 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', subPowSU)). 0.22/0.57 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptysetE)). 0.22/0.57 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', foundationAx)). 0.22/0.57 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', omegaSAx)). 0.22/0.57 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', uniqinunit)). 0.22/0.57 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', notinsingleton)). 0.22/0.57 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptysetsubset)). 0.22/0.57 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setadjoinOr)). 0.22/0.57 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', eqinunit)). 0.22/0.57 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', upairsetIR)). 0.22/0.57 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', quantDeMorgan3)). 0.22/0.57 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', notdexE)). 0.22/0.57 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', inCongP)). 0.22/0.57 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', in__Cong)). 0.22/0.57 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', powerset__Cong)). 0.22/0.57 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setunion__Cong)). 0.22/0.57 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', omega__Cong)). 0.22/0.57 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', eqimpsubset2)). 0.22/0.57 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', subsetI2)). 0.22/0.57 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', subsetE2)). 0.22/0.57 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', subsetE)). 0.22/0.57 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', eqimpsubset1)). 0.22/0.57 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', subsetI1)). 0.22/0.57 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setadjoin__Cong)). 0.22/0.57 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptyset__Cong)). 0.22/0.57 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', notdallE)). 0.22/0.57 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptyinPowerset)). 0.22/0.57 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', prop2setI)). 0.22/0.57 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', quantDeMorgan4)). 0.22/0.57 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', quantDeMorgan2)). 0.22/0.57 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', quantDeMorgan1)). 0.22/0.57 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', vacuousDall)). 0.22/0.57 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', upairsetIL)). 0.22/0.57 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', upairsetE)). 0.22/0.57 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', singletonsswitch)). 0.22/0.57 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setunionE)). 0.22/0.57 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', noeltsimpempty)). 0.22/0.57 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', notinemptyset)). 0.22/0.57 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', prop2setE)). 0.22/0.57 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', wellorderingAx)). 0.22/0.57 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', omegaIndAx)). 0.22/0.57 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setunionAx)). 0.22/0.57 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', powersetAx)). 0.22/0.57 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setadjoinAx)). 0.22/0.57 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', emptysetAx)). 0.22/0.57 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.FlfbXS1rep/Vampire---4.8_10427', setextAx)). 0.22/0.57 thf(c_0_84, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.22/0.57 thf(c_0_85, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.22/0.57 thf(c_0_86, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.22/0.57 thf(c_0_87, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.22/0.57 thf(c_0_88, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.22/0.57 thf(c_0_89, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 0.22/0.57 thf(c_0_90, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.22/0.57 thf(c_0_91, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.22/0.57 thf(c_0_92, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.22/0.57 thf(c_0_93, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.22/0.57 thf(c_0_94, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.22/0.57 thf(c_0_95, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])). 0.22/0.57 thf(c_0_96, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.22/0.57 thf(c_0_97, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.22/0.57 thf(c_0_98, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.22/0.57 thf(c_0_99, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.22/0.57 thf(c_0_100, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_84])). 0.22/0.57 thf(c_0_101, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X256:$i]:((((X1 @ X256))&![X257:$i]:((((X1 @ X257))=>((X256)=(X257)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_85, c_0_86])). 0.22/0.57 thf(c_0_102, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.22/0.57 thf(c_0_103, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.22/0.57 thf(c_0_104, plain, ((exuE2)=(![X1:$i > $o]:(((?[X258:$i]:((((X1 @ X258))&![X259:$i]:((((X1 @ X259))=>((X258)=(X259)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_87, c_0_86])). 0.22/0.57 thf(c_0_105, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X250:$i]:((((X6 @ X2 @ X250))&![X251:$i]:((((X6 @ X2 @ X251))=>((X250)=(X251)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_88, c_0_86])). 0.22/0.57 thf(c_0_106, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X260:$i]:((((X1 @ X260))&![X261:$i]:((((X1 @ X261))=>((X260)=(X261))))))))))), inference(apply_def,[status(thm)],[c_0_89, c_0_86])). 0.22/0.57 thf(c_0_107, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X262:$i]:((((X1 @ X262))&![X263:$i]:((((X1 @ X263))=>((X262)=(X263)))))))))))), inference(apply_def,[status(thm)],[c_0_90, c_0_86])). 0.22/0.57 thf(c_0_108, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X264:$i]:((((X1 @ X264))&![X265:$i]:((((X1 @ X265))=>((X264)=(X265))))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_86])). 0.22/0.57 thf(c_0_109, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X268:$i]:((((X1 @ X268))&![X269:$i]:((((X1 @ X269))=>((X268)=(X269)))))))<=>(?[X270:$i]:((((X17 @ X270))&![X271:$i]:((((X17 @ X271))=>((X270)=(X271)))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_86])). 0.22/0.57 thf(c_0_110, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.22/0.57 thf(c_0_111, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X274:$i]:((((X1 @ X274))&![X275:$i]:((((X1 @ X275))=>((X274)=(X275)))))))=>((?[X276:$i]:((((X17 @ X276))&![X277:$i]:((((X17 @ X277))=>((X276)=(X277)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_86])). 0.22/0.57 thf(c_0_112, plain, ((exuEu)=(![X1:$i > $o]:(((?[X272:$i]:((((X1 @ X272))&![X273:$i]:((((X1 @ X273))=>((X272)=(X273)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_86])). 0.22/0.57 thf(c_0_113, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X266:$i]:((((X1 @ X266))&![X267:$i]:((((X1 @ X267))=>((X266)=(X267)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_86])). 0.22/0.57 thf(c_0_114, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])). 0.22/0.57 thf(c_0_115, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_84])). 0.22/0.57 thf(c_0_116, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_84])). 0.22/0.57 thf(c_0_117, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_84])). 0.22/0.57 thf(c_0_118, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.22/0.57 thf(c_0_119, plain, ((exuE1)=(![X1:$i > $o]:(((?[X254:$i]:((((X1 @ X254))&![X255:$i]:((((X1 @ X255))=>((X254)=(X255)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_86])). 0.22/0.57 thf(c_0_120, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.22/0.57 thf(c_0_121, plain, ((descrp)=(![X1:$i > $o]:(((?[X252:$i]:((((X1 @ X252))&![X253:$i]:((((X1 @ X253))=>((X252)=(X253)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_86])). 0.22/0.57 thf(c_0_122, plain, ((epred1_0)<=>![X294:$i]:(?[X295:$i]:((((![X296:$i]:(((in @ X296 @ X295)=>![X297:$i]:(((in @ X297 @ X296)=>(in @ X297 @ X294)))))&![X298:$i, X299:$i]:((((in @ X298 @ X294)&(in @ X299 @ X294))=>(![X300:$i]:(((in @ X300 @ X295)=>((in @ X298 @ X300)<=>(in @ X299 @ X300))))=>((X298)=(X299))))))&![X301:$i, X302:$i]:((((in @ X301 @ X295)&(in @ X302 @ X295))=>(![X303:$i]:(((in @ X303 @ X301)=>(in @ X303 @ X302)))|![X304:$i]:(((in @ X304 @ X302)=>(in @ X304 @ X301)))))))&![X305:$i]:(((![X306:$i]:(((in @ X306 @ X305)=>(in @ X306 @ X294)))&?[X307:$i]:((in @ X307 @ X305)))=>?[X308:$i, X309:$i]:(((((in @ X308 @ X295)&(in @ X309 @ X305))&~(?[X310:$i]:(((in @ X310 @ X308)&(in @ X310 @ X305)))))&![X311:$i]:(((in @ X311 @ X295)=>(![X312:$i]:(((in @ X312 @ X311)=>(in @ X312 @ X308)))|(in @ X309 @ X311)))))))))))), introduced(definition)). 0.22/0.57 thf(c_0_123, negated_conjecture, ~((![X278:$i, X279:$i]:((![X280:$i]:(((in @ X280 @ X278)<=>(in @ X280 @ X279)))=>((X278)=(X279))))=>(![X281:$i]:(~(in @ X281 @ emptyset))=>(![X282:$i, X283:$i, X284:$i]:(((in @ X284 @ (setadjoin @ X282 @ X283))<=>(((X284)=(X282))|(in @ X284 @ X283))))=>(![X285:$i, X286:$i]:(((in @ X286 @ (powerset @ X285))<=>![X287:$i]:(((in @ X287 @ X286)=>(in @ X287 @ X285)))))=>(![X288:$i, X289:$i]:(((in @ X289 @ (setunion @ X288))<=>?[X290:$i]:(((in @ X289 @ X290)&(in @ X290 @ X288)))))=>((in @ emptyset @ omega)=>(![X533:$i]:(((in @ X533 @ omega)=>(in @ (setadjoin @ X533 @ X533) @ omega)))=>(![X291:$i]:((((in @ emptyset @ X291)&![X292:$i]:((((in @ X292 @ omega)&(in @ X292 @ X291))=>(in @ (setadjoin @ X292 @ X292) @ X291))))=>![X293:$i]:(((in @ X293 @ omega)=>(in @ X293 @ X291)))))=>(![X525:$i > $i > $o, X526:$i]:((![X527:$i]:(((in @ X527 @ X526)=>?[X528:$i]:(((X525 @ X527 @ X528)&![X529:$i]:(((X525 @ X527 @ X529)=>((X528)=(X529))))))))=>?[X530:$i]:(![X531:$i]:(((in @ X531 @ X530)<=>?[X532:$i]:(((in @ X532 @ X526)&(X525 @ X532 @ X531))))))))=>(![X521:$i]:((?[X522:$i]:((in @ X522 @ X521))=>?[X523:$i]:(((in @ X523 @ X521)&~(?[X524:$i]:(((in @ X524 @ X523)&(in @ X524 @ X521))))))))=>((epred1_0)=>(![X313:$i > $o]:((?[X314:$i]:(((X313 @ X314)&![X315:$i]:(((X313 @ X315)=>((X314)=(X315))))))=>(X313 @ (descr @ (^[Z0/* 3 */:$i]:((X313 @ Z0)))))))=>(![X518:$i, X519:$i > $o, X520:$i]:(((in @ X520 @ X518)=>((X519 @ X520)=>(in @ X520 @ (dsetconstr @ X518 @ (^[Z0/* 3 */:$i]:((X519 @ Z0))))))))=>(![X316:$i, X317:$i > $o, X318:$i]:(((in @ X318 @ (dsetconstr @ X316 @ (^[Z0/* 3 */:$i]:((X317 @ Z0)))))=>(in @ X318 @ X316)))=>(![X515:$i, X516:$i > $o, X517:$i]:(((in @ X517 @ (dsetconstr @ X515 @ (^[Z0/* 3 */:$i]:((X516 @ Z0)))))=>(X516 @ X517)))=>(![X319:$i > $o]:((?[X320:$i]:(((X319 @ X320)&![X321:$i]:(((X319 @ X321)=>((X320)=(X321))))))=>?[X322:$i]:(((X319 @ X322)&![X323:$i]:(((X319 @ X323)=>((X322)=(X323))))))))=>(![X324:$o, X325:$i]:(((in @ X325 @ (prop2set @ ((X324))))=>(X324)))=>(![X513:$i]:(((in @ X513 @ emptyset)=>![X514:$o]:((X514))))=>(![X512:$i]:(~(in @ X512 @ emptyset))=>(![X326:$i]:(~(in @ X326 @ emptyset))=>(![X508:$i > $o]:((?[X509:$i]:(((X508 @ X509)&![X510:$i]:(((X508 @ X510)=>((X509)=(X510))))))=>?[X511:$i]:((X508 @ X511))))=>(![X504:$i, X505:$i]:((![X506:$i]:(((in @ X506 @ X504)=>(in @ X506 @ X505)))=>(![X507:$i]:(((in @ X507 @ X505)=>(in @ X507 @ X504)))=>((X504)=(X505)))))=>(![X502:$i]:((![X503:$i]:(~(in @ X503 @ X502))=>((X502)=(emptyset))))=>(![X327:$i]:((![X328:$i]:(~(in @ X328 @ X327))=>((X327)=(emptyset))))=>(![X329:$i, X330:$i > $o, X331:$i]:(((in @ X331 @ X329)=>((in @ X331 @ (dsetconstr @ X329 @ (^[Z0/* 3 */:$i]:((X330 @ Z0)))))<=>(X330 @ X331))))=>(![X332:$i]:((((X332)!=(emptyset))=>?[X333:$i]:((in @ X333 @ X332))))=>(![X334:$i, X335:$i > $o, X336:$i]:(((in @ X336 @ X334)=>((X335 @ X336)=>((dsetconstr @ X334 @ (^[Z0/* 3 */:$i]:((X335 @ Z0))))!=(emptyset)))))=>(![X500:$i]:((?[X501:$i]:((in @ X501 @ X500))=>((X500)!=(emptyset))))=>(![X337:$i, X338:$i]:((in @ X337 @ (setadjoin @ X337 @ X338)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X497:$i, X498:$i, X499:$i]:(((in @ X499 @ X498)=>(in @ X499 @ (setadjoin @ X497 @ X498))))=>(![X493:$i, X494:$i, X495:$i]:(((in @ X495 @ (setadjoin @ X493 @ X494))=>![X496:$o]:(((((X495)=(X493))=>(X496))=>(((in @ X495 @ X494)=>(X496))=>(X496))))))=>(![X339:$i, X340:$i, X341:$i]:(((in @ X341 @ (setadjoin @ X339 @ X340))=>(((X341)=(X339))|(in @ X341 @ X340))))=>(![X492:$i]:(((dsetconstr @ X492 @ (^[Z0/* 3 */:$i]:(($true))))=(X492)))=>(![X489:$i, X490:$i]:((![X491:$i]:(((in @ X491 @ X490)=>(in @ X491 @ X489)))=>(in @ X490 @ (powerset @ X489))))=>(![X342:$i]:((in @ emptyset @ (powerset @ X342)))=>(![X343:$i]:((in @ emptyset @ (powerset @ X343)))=>(![X344:$i, X345:$i, X346:$i]:(((in @ X345 @ (powerset @ X344))=>((in @ X346 @ X345)=>(in @ X346 @ X344))))=>(![X347:$i, X348:$i, X349:$i]:(((in @ X348 @ X349)=>((in @ X349 @ X347)=>(in @ X348 @ (setunion @ X347)))))=>(![X485:$i, X486:$i]:(((in @ X486 @ (setunion @ X485))=>![X487:$o]:((![X488:$i]:(((in @ X486 @ X488)=>((in @ X488 @ X485)=>(X487))))=>(X487)))))=>(![X350:$i, X351:$i]:(((in @ X351 @ X350)=>(in @ X351 @ (powerset @ (setunion @ X350)))))=>(![X352:$i > $o]:((?[X353:$i]:(((X352 @ X353)&![X354:$i]:(((X352 @ X354)=>((X353)=(X354))))))=>?[X355:$i]:(![X356:$i]:(((X352 @ X356)<=>((X356)=(X355)))))))=>(![X483:$i]:((((X483)!=(emptyset))=>?[X484:$i]:((in @ X484 @ X483))))=>(![X357:$i, X358:$i]:(((in @ X357 @ (setadjoin @ X358 @ emptyset))=>((X357)=(X358))))=>(![X359:$i, X360:$i]:((((X359)!=(X360))=>~(in @ X360 @ (setadjoin @ X359 @ emptyset))))=>(![X361:$i, X362:$i]:((((X361)=(X362))=>(in @ X361 @ (setadjoin @ X362 @ emptyset))))=>(![X481:$i, X482:$i]:(((in @ X481 @ (setadjoin @ X482 @ emptyset))=>(in @ X482 @ (setadjoin @ X481 @ emptyset))))=>(![X478:$i, X479:$i, X480:$i]:(((in @ X480 @ (setadjoin @ X478 @ (setadjoin @ X479 @ emptyset)))=>(((X480)=(X478))|((X480)=(X479)))))=>(![X476:$i, X477:$i]:((in @ X476 @ (setadjoin @ X476 @ (setadjoin @ X477 @ emptyset))))=>(![X363:$i, X364:$i]:((in @ X364 @ (setadjoin @ X363 @ (setadjoin @ X364 @ emptyset))))=>(![X473:$i, X474:$i > $o]:((?[X475:$i]:(((in @ X475 @ X473)&(X474 @ X475)))=>((dsetconstr @ X473 @ (^[Z0/* 3 */:$i]:((X474 @ Z0))))!=(emptyset))))=>(![X471:$i > $o, X472:$i]:(((in @ X472 @ emptyset)=>(X471 @ X472)))=>(![X467:$i, X468:$i > $o]:((~(![X469:$i]:(((in @ X469 @ X467)=>(X468 @ X469))))=>?[X470:$i]:(((in @ X470 @ X467)&~(X468 @ X470)))))=>(![X463:$i, X464:$i > $o]:((![X465:$i]:(((in @ X465 @ X463)=>~(X464 @ X465)))=>~(?[X466:$i]:(((in @ X466 @ X463)&(X464 @ X466))))))=>(![X365:$i, X366:$i > $o]:((~(?[X367:$i]:(((in @ X367 @ X365)&(X366 @ X367))))=>![X368:$i]:(((in @ X368 @ X365)=>~(X366 @ X368)))))=>(![X459:$i, X460:$i > $o]:((?[X461:$i]:(((in @ X461 @ X459)&~(X460 @ X461)))=>~(![X462:$i]:(((in @ X462 @ X459)=>(X460 @ X462))))))=>(![X458:$o]:(((X458)=>(in @ emptyset @ (prop2set @ ((X458))))))=>((prop2set2propI)=>(![X369:$i, X370:$i > $o]:((~(?[X371:$i]:(((in @ X371 @ X369)&(X370 @ X371))))=>![X372:$i]:(((in @ X372 @ X369)=>~(X370 @ X372)))))=>(![X454:$i, X455:$i > $o]:((~(![X456:$i]:(((in @ X456 @ X454)=>(X455 @ X456))))=>?[X457:$i]:(((in @ X457 @ X454)&~(X455 @ X457)))))=>(![X373:$i > $o]:((?[X374:$i]:(((X373 @ X374)&![X375:$i]:(((X373 @ X375)=>((X374)=(X375))))))=>?[X376:$i]:(((X373 @ X376)&![X377:$i]:(((X373 @ X377)=>((X376)=(X377))))))))=>(![X378:$i > $o]:((?[X379:$i]:((X378 @ X379))=>(![X380:$i, X381:$i]:(((X378 @ X380)=>((X378 @ X381)=>((X380)=(X381)))))=>?[X382:$i]:(((X378 @ X382)&![X383:$i]:(((X378 @ X383)=>((X382)=(X383)))))))))=>(![X384:$i > $o]:((?[X385:$i]:(![X386:$i]:(((X384 @ X386)<=>((X386)=(X385)))))=>?[X387:$i]:(((X384 @ X387)&![X388:$i]:(((X384 @ X388)=>((X387)=(X388))))))))=>(![X389:$i, X390:$i]:((((X389)=(X390))=>![X391:$i, X392:$i]:((((X391)=(X392))=>((in @ X391 @ X389)=>(in @ X392 @ X390))))))=>(![X393:$i, X394:$i]:((((X393)=(X394))=>![X395:$i, X396:$i]:((((X395)=(X396))=>((in @ X395 @ X393)<=>(in @ X396 @ X394))))))=>(![X449:$i > $o]:((?[X450:$i]:(((X449 @ X450)&![X451:$i]:(((X449 @ X451)=>((X450)=(X451))))))=>![X452:$i, X453:$i]:(((X449 @ X452)=>((X449 @ X453)=>((X452)=(X453)))))))=>(![X397:$i > $o, X398:$i > $o]:((![X399:$i, X400:$i]:((((X399)=(X400))=>((X397 @ X399)<=>(X398 @ X400))))=>(?[X401:$i]:(((X397 @ X401)&![X402:$i]:(((X397 @ X402)=>((X401)=(X402))))))<=>?[X403:$i]:(((X398 @ X403)&![X404:$i]:(((X398 @ X404)=>((X403)=(X404)))))))))=>(((emptyset)=(emptyset))=>(![X445:$i, X446:$i]:((((X445)=(X446))=>![X447:$i, X448:$i]:((((X447)=(X448))=>((setadjoin @ X445 @ X447)=(setadjoin @ X446 @ X448))))))=>(![X405:$i, X406:$i]:((((X405)=(X406))=>((powerset @ X405)=(powerset @ X406))))=>(![X407:$i, X408:$i]:((((X407)=(X408))=>((setunion @ X407)=(setunion @ X408))))=>(((omega)=(omega))=>(![X440:$i > $o]:((?[X441:$i]:(((X440 @ X441)&![X442:$i]:(((X440 @ X442)=>((X441)=(X442))))))=>![X443:$i, X444:$i]:(((X440 @ X443)=>((X440 @ X444)=>((X443)=(X444)))))))=>(![X432:$i > $o, X433:$i > $o]:((![X434:$i, X435:$i]:((((X434)=(X435))=>((X432 @ X434)<=>(X433 @ X435))))=>(?[X436:$i]:(((X432 @ X436)&![X437:$i]:(((X432 @ X437)=>((X436)=(X437))))))=>(?[X438:$i]:(((X433 @ X438)&![X439:$i]:(((X433 @ X439)=>((X438)=(X439))))))=>((descr @ (^[Z0/* 3 */:$i]:((X432 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X433 @ Z0)))))))))=>(![X426:$i, X427:$i]:((((X426)=(X427))=>![X428:$i > $o, X429:$i > $o]:((![X430:$i]:(((in @ X430 @ X426)=>![X431:$i]:(((in @ X431 @ X427)=>(((X430)=(X431))=>((X428 @ X430)<=>(X429 @ X431)))))))=>((dsetconstr @ X426 @ (^[Z0/* 3 */:$i]:((X428 @ Z0))))=(dsetconstr @ X427 @ (^[Z0/* 3 */:$i]:((X429 @ Z0)))))))))=>(![X423:$i, X424:$i]:((![X425:$i]:(((in @ X425 @ X423)=>(in @ X425 @ X424)))=>(subset @ X423 @ X424)))=>(![X409:$i, X410:$i]:((((X409)=(X410))=>(subset @ X410 @ X409)))=>(![X421:$i, X422:$i]:((((X421)=(X422))=>(subset @ X421 @ X422)))=>(![X411:$i, X412:$i]:((![X413:$i]:(((in @ X413 @ X411)=>(in @ X413 @ X412)))=>(subset @ X411 @ X412)))=>(![X414:$i]:((subset @ emptyset @ X414))=>(![X418:$i, X419:$i, X420:$i]:(((subset @ X418 @ X419)=>((in @ X420 @ X418)=>(in @ X420 @ X419))))=>(![X415:$i, X416:$i, X417:$i]:(((subset @ X415 @ X416)=>(~(in @ X417 @ X416)=>~(in @ X417 @ X415))))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~(in @ X2 @ X5)=>~(subset @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[notsubsetI]), emptyinunitempty]), omega0Ax]), powersetI]), setadjoinIL]), c_0_99]), emptyInPowerset]), setadjoinE]), setadjoinIR]), powersetE]), c_0_100]), emptyI]), setext]), setunionI]), c_0_101]), emptysetimpfalse]), subPowSU]), emptysetE]), c_0_102]), c_0_103]), c_0_104]), foundationAx]), c_0_105]), omegaSAx]), uniqinunit]), notinsingleton]), emptysetsubset]), setadjoinOr]), eqinunit]), upairsetIR]), quantDeMorgan3]), notdexE]), c_0_106]), c_0_107]), c_0_108]), inCongP]), in__Cong]), c_0_109]), powerset__Cong]), setunion__Cong]), omega__Cong]), eqimpsubset2]), subsetI2]), subsetE2]), subsetE]), eqimpsubset1]), subsetI1]), c_0_110]), c_0_111]), c_0_112]), setadjoin__Cong]), emptyset__Cong]), c_0_113]), notdallE]), emptyinPowerset]), prop2setI]), quantDeMorgan4]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_114]), upairsetIL]), upairsetE]), singletonsswitch]), c_0_115]), setunionE]), c_0_116]), c_0_117]), c_0_118]), noeltsimpempty]), notinemptyset]), prop2setE]), c_0_119]), c_0_120]), c_0_121]), wellorderingAx]), omegaIndAx]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])]), c_0_122])). 0.22/0.57 thf(c_0_124, negated_conjecture, ![X534:$i, X535:$i, X537:$i, X538:$i, X539:$i, X540:$i, X541:$i, X542:$i, X543:$i, X544:$i, X545:$i, X547:$i, X548:$i, X550:$i, X551:$i, X552:$i, X553:$i, X554:$i, X556:$i, X557:$i > $i > $o, X558:$i, X560:$i, X563:$i, X565:$i, X566:$i, X567:$i, X568:$i, X570:$i, X571:$i > $o, X572:$i, X574:$i, X575:$i > $o, X576:$i, X577:$i, X578:$i > $o, X579:$i, X580:$i, X581:$i > $o, X582:$i, X583:$i > $o, X584:$i, X587:$i, X588:$o, X589:$i, X590:$i, X591:$o, X592:$i, X593:$i, X594:$i > $o, X595:$i, X598:$i, X599:$i, X602:$i, X604:$i, X606:$i, X607:$i > $o, X608:$i, X609:$i, X611:$i, X612:$i > $o, X613:$i, X614:$i, X615:$i, X616:$i, X617:$i, X618:$i, X619:$i, X620:$i, X621:$i, X622:$i, X623:$i, X624:$o, X625:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i, X640:$i, X641:$i, X642:$o, X644:$i, X645:$i, X646:$i > $o, X647:$i, X650:$i, X651:$i, X652:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X670:$i > $o, X671:$i, X672:$i > $o, X673:$i, X674:$i, X675:$i > $o, X676:$i, X678:$i, X679:$i > $o, X681:$i, X682:$i, X683:$i > $o, X685:$i, X686:$i, X687:$i > $o, X688:$i, X690:$o, X691:$i, X692:$i > $o, X694:$i, X695:$i, X696:$i > $o, X697:$i, X699:$i > $o, X700:$i, X703:$i, X704:$i > $o, X705:$i, X709:$i, X710:$i > $o, X711:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i, X723:$i > $o, X724:$i, X726:$i, X727:$i, X728:$i > $o, X729:$i > $o, X732:$i, X735:$i, X736:$i, X739:$i, X740:$i, X741:$i, X742:$i, X743:$i, X744:$i, X745:$i, X746:$i, X747:$i, X748:$i > $o, X749:$i, X751:$i, X752:$i, X753:$i > $o, X754:$i > $o, X757:$i, X759:$i, X761:$i, X762:$i, X763:$i > $o, X764:$i > $o, X767:$i, X768:$i, X770:$i, X771:$i, 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X753 @ X754 @ X757))|~(X753 @ X757))|(~(X753 @ (esk46_2 @ X753 @ X754))|~(X754 @ (esk47_2 @ X753 @ X754)))))&(((X754 @ (esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|(((X757)!=(esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|(~(X753 @ (esk46_2 @ X753 @ X754))|~(X754 @ (esk47_2 @ X753 @ X754))))&(((X759)!=(esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|(((X757)!=(esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|(~(X753 @ (esk46_2 @ X753 @ X754))|~(X754 @ (esk47_2 @ X753 @ X754))))))&((((X754 @ (esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|((X753 @ (esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|((X753 @ (esk46_2 @ X753 @ X754))|(X754 @ (esk47_2 @ X753 @ X754))))&(((X759)!=(esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|((X753 @ (esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|((X753 @ (esk46_2 @ X753 @ X754))|(X754 @ (esk47_2 @ X753 @ X754)))))&(((X754 @ (esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|(((X757)!=(esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|((X753 @ (esk46_2 @ X753 @ X754))|(X754 @ (esk47_2 @ X753 @ X754))))&(((X759)!=(esk49_3 @ X753 @ X754 @ X759))|~(X754 @ X759)|((descr @ (^[Z0/* 3 */:$i]:((X753 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X754 @ Z0)))))|(((X757)!=(esk48_3 @ X753 @ X754 @ X757))|~(X753 @ X757))|((X753 @ (esk46_2 @ X753 @ X754))|(X754 @ (esk47_2 @ X753 @ X754))))))))&((((in @ (esk50_4 @ X761 @ X762 @ X763 @ X764) @ X761)|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))&(((in @ (esk51_4 @ X761 @ X762 @ X763 @ X764) @ X762)|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))&((((esk50_4 @ X761 @ X762 @ X763 @ X764)=(esk51_4 @ X761 @ X762 @ X763 @ X764))|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))&((~(X763 @ (esk50_4 @ X761 @ X762 @ X763 @ X764))|~(X764 @ (esk51_4 @ X761 @ X762 @ X763 @ X764))|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))&((X763 @ (esk50_4 @ X761 @ X762 @ X763 @ X764))|(X764 @ (esk51_4 @ X761 @ X762 @ X763 @ X764))|((dsetconstr @ X761 @ (^[Z0/* 3 */:$i]:((X763 @ Z0))))=(dsetconstr @ X762 @ (^[Z0/* 3 */:$i]:((X764 @ Z0)))))|((X761)!=(X762)))))))&((((in @ (esk52_2 @ X767 @ X768) @ X767)|(subset @ X767 @ X768))&(~(in @ (esk52_2 @ X767 @ X768) @ X768)|(subset @ X767 @ X768)))&((((X770)!=(X771))|(subset @ X771 @ X770))&((((X772)!=(X773))|(subset @ X772 @ X773))&((((in @ (esk53_2 @ X774 @ X775) @ X774)|(subset @ X774 @ X775))&(~(in @ (esk53_2 @ X774 @ X775) @ X775)|(subset @ X774 @ X775)))&((subset @ emptyset @ X777)&((~(subset @ X778 @ X779)|(~(in @ X780 @ X778)|(in @ X780 @ X779)))&((~(subset @ X781 @ X782)|((in @ X783 @ X782)|~(in @ X783 @ X781)))&((in @ esk56_0 @ esk54_0)&(~(in @ esk56_0 @ esk55_0)&(subset @ esk54_0 @ esk55_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])])])])])). 0.22/0.57 thf(c_0_125, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_124])). 0.22/0.57 thf(c_0_126, negated_conjecture, (in @ esk56_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_124])). 0.22/0.57 thf(c_0_127, negated_conjecture, ![X2:$i]:(((in @ esk56_0 @ X2)|~((subset @ esk54_0 @ X2)))), inference(spm,[status(thm)],[c_0_125, c_0_126])). 0.22/0.57 thf(c_0_128, negated_conjecture, (subset @ esk54_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_124])). 0.22/0.57 thf(c_0_129, negated_conjecture, ~((in @ esk56_0 @ esk55_0)), inference(split_conjunct,[status(thm)],[c_0_124])). 0.22/0.57 thf(c_0_130, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_129]), ['proof']). 0.22/0.57 # SZS output end CNFRefutation 0.22/0.57 # Parsed axioms : 182 0.22/0.57 # Removed by relevancy pruning/SinE : 98 0.22/0.57 # Initial clauses : 194 0.22/0.57 # Removed in clause preprocessing : 12 0.22/0.57 # Initial clauses in saturation : 182 0.22/0.57 # Processed clauses : 266 0.22/0.57 # ...of these trivial : 3 0.22/0.57 # ...subsumed : 18 0.22/0.57 # ...remaining for further processing : 245 0.22/0.57 # Other redundant clauses eliminated : 13 0.22/0.57 # Clauses deleted for lack of memory : 0 0.22/0.57 # Backward-subsumed : 0 0.22/0.57 # Backward-rewritten : 3 0.22/0.57 # Generated clauses : 166 0.22/0.57 # ...of the previous two non-redundant : 140 0.22/0.57 # ...aggressively subsumed : 0 0.22/0.57 # Contextual simplify-reflections : 0 0.22/0.57 # Paramodulations : 140 0.22/0.57 # Factorizations : 0 0.22/0.57 # NegExts : 0 0.22/0.57 # Equation resolutions : 13 0.22/0.57 # Total rewrite steps : 39 0.22/0.57 # Propositional unsat checks : 0 0.22/0.57 # Propositional check models : 0 0.22/0.57 # Propositional check unsatisfiable : 0 0.22/0.57 # Propositional clauses : 0 0.22/0.57 # Propositional clauses after purity: 0 0.22/0.57 # Propositional unsat core size : 0 0.22/0.57 # Propositional preprocessing time : 0.000 0.22/0.57 # Propositional encoding time : 0.000 0.22/0.57 # Propositional solver time : 0.000 0.22/0.57 # Success case prop preproc time : 0.000 0.22/0.57 # Success case prop encoding time : 0.000 0.22/0.57 # Success case prop solver time : 0.000 0.22/0.57 # Current number of processed clauses : 69 0.22/0.57 # Positive orientable unit clauses : 17 0.22/0.57 # Positive unorientable unit clauses: 0 0.22/0.57 # Negative unit clauses : 2 0.22/0.57 # Non-unit-clauses : 50 0.22/0.57 # Current number of unprocessed clauses: 217 0.22/0.57 # ...number of literals in the above : 704 0.22/0.57 # Current number of archived formulas : 0 0.22/0.57 # Current number of archived clauses : 164 0.22/0.57 # Clause-clause subsumption calls (NU) : 7282 0.22/0.57 # Rec. Clause-clause subsumption calls : 1945 0.22/0.57 # Non-unit clause-clause subsumptions : 13 0.22/0.57 # Unit Clause-clause subsumption calls : 33 0.22/0.57 # Rewrite failures with RHS unbound : 0 0.22/0.57 # BW rewrite match attempts : 8 0.22/0.57 # BW rewrite match successes : 3 0.22/0.57 # Condensation attempts : 266 0.22/0.57 # Condensation successes : 3 0.22/0.57 # Termbank termtop insertions : 31304 0.22/0.57 0.22/0.57 # ------------------------------------------------- 0.22/0.57 # User time : 0.049 s 0.22/0.57 # System time : 0.007 s 0.22/0.57 # Total time : 0.056 s 0.22/0.57 # Maximum resident set size: 4340 pages 0.22/0.58 0.22/0.58 # ------------------------------------------------- 0.22/0.58 # User time : 0.054 s 0.22/0.58 # System time : 0.010 s 0.22/0.58 # Total time : 0.064 s 0.22/0.58 # Maximum resident set size: 2148 pages 0.22/0.58 % E---3.1 exiting 0.73/0.58 EOF