0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E %s %d THM 0.11/0.33 % Computer : n016.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1440 0.11/0.33 % WCLimit : 180 0.11/0.33 % DateTime : Thu Jul 4 05:54:09 EDT 2024 0.11/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p 0.59/180.07 # Version: 3.2.0-ho 0.59/180.07 # Preprocessing class: HSMSSLSSLLLCHFA. 0.59/180.07 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.59/180.07 # Starting new_ho_10 with 900s (5) cores 0.59/180.07 # Starting sh5l with 180s (1) cores 0.59/180.07 # Starting new_bool_1 with 180s (1) cores 0.59/180.07 # Starting new_bool_2 with 180s (1) cores 0.59/180.07 # new_bool_2 with pid 5774 completed with status 0 0.59/180.07 # Result found by new_bool_2 0.59/180.07 # Preprocessing class: HSMSSLSSLLLCHFA. 0.59/180.07 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.59/180.07 # Starting new_ho_10 with 900s (5) cores 0.59/180.07 # Starting sh5l with 180s (1) cores 0.59/180.07 # Starting new_bool_1 with 180s (1) cores 0.59/180.07 # Starting new_bool_2 with 180s (1) cores 0.59/180.07 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.59/180.07 # Search class: HGHSM-FSLM31-SHFMMMBN 0.59/180.07 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.59/180.07 # Starting ho_unfolding_3 with 98s (1) cores 0.59/180.07 # ho_unfolding_3 with pid 5775 completed with status 0 0.59/180.07 # Result found by ho_unfolding_3 0.59/180.07 # Preprocessing class: HSMSSLSSLLLCHFA. 0.59/180.07 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.59/180.07 # Starting new_ho_10 with 900s (5) cores 0.59/180.07 # Starting sh5l with 180s (1) cores 0.59/180.07 # Starting new_bool_1 with 180s (1) cores 0.59/180.07 # Starting new_bool_2 with 180s (1) cores 0.59/180.07 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.59/180.07 # Search class: HGHSM-FSLM31-SHFMMMBN 0.59/180.07 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.59/180.07 # Starting ho_unfolding_3 with 98s (1) cores 0.59/180.07 # Preprocessing time : 0.005 s 0.59/180.07 # Presaturation interreduction done 0.59/180.07 0.59/180.07 # Proof found! 0.59/180.07 # SZS status Theorem 0.59/180.07 # SZS output start CNFRefutation 0.59/180.07 thf(decl_22, type, in: $i > $i > $o). 0.59/180.07 thf(decl_23, type, exu: ($i > $o) > $o). 0.59/180.07 thf(decl_24, type, setextAx: $o). 0.59/180.07 thf(decl_25, type, emptyset: $i). 0.59/180.07 thf(decl_26, type, emptysetAx: $o). 0.59/180.07 thf(decl_27, type, setadjoin: $i > $i > $i). 0.59/180.07 thf(decl_28, type, setadjoinAx: $o). 0.59/180.07 thf(decl_29, type, powerset: $i > $i). 0.59/180.07 thf(decl_30, type, powersetAx: $o). 0.59/180.07 thf(decl_31, type, setunion: $i > $i). 0.59/180.07 thf(decl_32, type, setunionAx: $o). 0.59/180.07 thf(decl_33, type, omega: $i). 0.59/180.07 thf(decl_34, type, omega0Ax: $o). 0.59/180.07 thf(decl_35, type, omegaSAx: $o). 0.59/180.07 thf(decl_36, type, omegaIndAx: $o). 0.59/180.07 thf(decl_37, type, replAx: $o). 0.59/180.07 thf(decl_38, type, foundationAx: $o). 0.59/180.07 thf(decl_39, type, wellorderingAx: $o). 0.59/180.07 thf(decl_40, type, descr: ($i > $o) > $i). 0.59/180.07 thf(decl_41, type, descrp: $o). 0.59/180.07 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.59/180.07 thf(decl_43, type, dsetconstrI: $o). 0.59/180.07 thf(decl_44, type, dsetconstrEL: $o). 0.59/180.07 thf(decl_45, type, dsetconstrER: $o). 0.59/180.07 thf(decl_46, type, exuE1: $o). 0.59/180.07 thf(decl_47, type, prop2set: $o > $i). 0.59/180.07 thf(decl_48, type, prop2setE: $o). 0.59/180.07 thf(decl_49, type, emptysetE: $o). 0.59/180.07 thf(decl_50, type, emptysetimpfalse: $o). 0.59/180.07 thf(decl_51, type, notinemptyset: $o). 0.59/180.07 thf(decl_52, type, exuE3e: $o). 0.59/180.07 thf(decl_53, type, setext: $o). 0.59/180.07 thf(decl_54, type, emptyI: $o). 0.59/180.07 thf(decl_55, type, noeltsimpempty: $o). 0.59/180.07 thf(decl_56, type, setbeta: $o). 0.59/180.07 thf(decl_57, type, nonempty: $i > $o). 0.59/180.07 thf(decl_58, type, nonemptyE1: $o). 0.59/180.07 thf(decl_59, type, nonemptyI: $o). 0.59/180.07 thf(decl_60, type, nonemptyI1: $o). 0.59/180.07 thf(decl_61, type, setadjoinIL: $o). 0.59/180.07 thf(decl_62, type, emptyinunitempty: $o). 0.59/180.07 thf(decl_63, type, setadjoinIR: $o). 0.59/180.07 thf(decl_64, type, setadjoinE: $o). 0.59/180.07 thf(decl_65, type, setadjoinOr: $o). 0.59/180.07 thf(decl_66, type, setoftrueEq: $o). 0.59/180.07 thf(decl_67, type, powersetI: $o). 0.59/180.07 thf(decl_68, type, emptyinPowerset: $o). 0.59/180.07 thf(decl_69, type, emptyInPowerset: $o). 0.59/180.07 thf(decl_70, type, powersetE: $o). 0.59/180.07 thf(decl_71, type, setunionI: $o). 0.59/180.07 thf(decl_72, type, setunionE: $o). 0.59/180.07 thf(decl_73, type, subPowSU: $o). 0.59/180.07 thf(decl_74, type, exuE2: $o). 0.59/180.07 thf(decl_75, type, nonemptyImpWitness: $o). 0.59/180.07 thf(decl_76, type, uniqinunit: $o). 0.59/180.07 thf(decl_77, type, notinsingleton: $o). 0.59/180.07 thf(decl_78, type, eqinunit: $o). 0.59/180.07 thf(decl_79, type, singletonsswitch: $o). 0.59/180.07 thf(decl_80, type, upairsetE: $o). 0.59/180.07 thf(decl_81, type, upairsetIL: $o). 0.59/180.07 thf(decl_82, type, upairsetIR: $o). 0.59/180.07 thf(decl_83, type, emptyE1: $o). 0.59/180.07 thf(decl_84, type, vacuousDall: $o). 0.59/180.07 thf(decl_85, type, quantDeMorgan1: $o). 0.59/180.07 thf(decl_86, type, quantDeMorgan2: $o). 0.59/180.07 thf(decl_87, type, quantDeMorgan3: $o). 0.59/180.07 thf(decl_88, type, quantDeMorgan4: $o). 0.59/180.07 thf(decl_89, type, prop2setI: $o). 0.59/180.07 thf(decl_91, type, prop2set2propI: $o). 0.59/180.07 thf(decl_92, type, notdexE: $o). 0.59/180.07 thf(decl_93, type, notdallE: $o). 0.59/180.07 thf(decl_94, type, exuI1: $o). 0.59/180.07 thf(decl_95, type, exuI3: $o). 0.59/180.07 thf(decl_96, type, exuI2: $o). 0.59/180.07 thf(decl_97, type, inCongP: $o). 0.59/180.07 thf(decl_98, type, in__Cong: $o). 0.59/180.07 thf(decl_99, type, exuE3u: $o). 0.59/180.07 thf(decl_100, type, exu__Cong: $o). 0.59/180.07 thf(decl_101, type, emptyset__Cong: $o). 0.59/180.07 thf(decl_102, type, setadjoin__Cong: $o). 0.59/180.07 thf(decl_103, type, powerset__Cong: $o). 0.59/180.07 thf(decl_104, type, setunion__Cong: $o). 0.59/180.07 thf(decl_105, type, omega__Cong: $o). 0.59/180.07 thf(decl_106, type, exuEu: $o). 0.59/180.07 thf(decl_107, type, descr__Cong: $o). 0.59/180.07 thf(decl_108, type, dsetconstr__Cong: $o). 0.59/180.07 thf(decl_109, type, subset: $i > $i > $o). 0.59/180.07 thf(decl_112, type, epred1_0: $o). 0.59/180.07 thf(decl_113, type, esk1_2: $i > $i > $i). 0.59/180.07 thf(decl_114, type, esk2_2: $i > $i > $i). 0.59/180.07 thf(decl_115, type, esk3_2: $i > $i > $i). 0.59/180.07 thf(decl_116, type, esk4_1: $i > $i). 0.59/180.07 thf(decl_117, type, esk5_2: ($i > $i > $o) > $i > $i). 0.59/180.07 thf(decl_118, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.59/180.07 thf(decl_119, type, esk7_2: ($i > $i > $o) > $i > $i). 0.59/180.07 thf(decl_120, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.59/180.07 thf(decl_121, type, esk9_1: $i > $i). 0.59/180.07 thf(decl_122, type, esk10_2: ($i > $o) > $i > $i). 0.59/180.07 thf(decl_123, type, esk11_2: ($i > $o) > $i > $i). 0.59/180.07 thf(decl_124, type, esk12_1: ($i > $o) > $i). 0.59/180.07 thf(decl_125, type, esk13_2: ($i > $o) > $i > $i). 0.59/180.07 thf(decl_126, type, esk14_1: ($i > $o) > $i). 0.59/180.07 thf(decl_127, type, esk15_2: $i > $i > $i). 0.59/180.07 thf(decl_128, type, esk16_2: $i > $i > $i). 0.59/180.07 thf(decl_129, type, esk17_1: $i > $i). 0.59/180.07 thf(decl_130, type, esk18_1: $i > $i). 0.59/180.07 thf(decl_131, type, esk19_1: $i > $i). 0.59/180.07 thf(decl_132, type, esk20_2: $i > $i > $i). 0.59/180.07 thf(decl_133, type, esk21_3: $i > $i > $o > $i). 0.59/180.07 thf(decl_134, type, esk22_2: ($i > $o) > $i > $i). 0.59/180.07 thf(decl_135, type, esk23_1: ($i > $o) > $i). 0.59/180.07 thf(decl_136, type, esk24_1: $i > $i). 0.59/180.07 thf(decl_137, type, esk25_2: $i > ($i > $o) > $i). 0.59/180.07 thf(decl_138, type, esk26_2: $i > ($i > $o) > $i). 0.59/180.07 thf(decl_139, type, esk27_2: $i > ($i > $o) > $i). 0.59/180.07 thf(decl_140, type, esk28_2: $i > ($i > $o) > $i). 0.59/180.07 thf(decl_141, type, esk29_2: $i > ($i > $o) > $i). 0.59/180.07 thf(decl_142, type, esk30_2: $i > ($i > $o) > $i). 0.59/180.07 thf(decl_143, type, esk31_2: ($i > $o) > $i > $i). 0.59/180.07 thf(decl_144, type, esk32_1: ($i > $o) > $i). 0.59/180.07 thf(decl_145, type, esk33_1: ($i > $o) > $i). 0.59/180.07 thf(decl_146, type, esk34_1: ($i > $o) > $i). 0.59/180.07 thf(decl_147, type, esk35_1: ($i > $o) > $i). 0.59/180.07 thf(decl_148, type, esk36_2: ($i > $o) > $i > $i). 0.59/180.07 thf(decl_149, type, esk37_1: ($i > $o) > $i). 0.59/180.07 thf(decl_150, type, esk38_2: ($i > $o) > $i > $i). 0.59/180.07 thf(decl_151, type, esk39_2: ($i > $o) > ($i > $o) > $i). 0.59/180.07 thf(decl_152, type, esk40_2: ($i > $o) > ($i > $o) > $i). 0.59/180.07 thf(decl_153, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i). 0.59/180.07 thf(decl_154, type, esk42_2: ($i > $o) > ($i > $o) > $i). 0.59/180.07 thf(decl_155, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i). 0.59/180.07 thf(decl_156, type, esk44_2: ($i > $o) > ($i > $o) > $i). 0.59/180.07 thf(decl_157, type, esk45_2: ($i > $o) > $i > $i). 0.59/180.07 thf(decl_158, type, esk46_2: ($i > $o) > ($i > $o) > $i). 0.59/180.07 thf(decl_159, type, esk47_2: ($i > $o) > ($i > $o) > $i). 0.59/180.07 thf(decl_160, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i). 0.59/180.07 thf(decl_161, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i). 0.59/180.07 thf(decl_162, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.59/180.07 thf(decl_163, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i). 0.59/180.07 thf(decl_164, type, esk52_0: $i). 0.59/180.07 thf(decl_165, type, esk53_0: $i). 0.59/180.07 thf(decl_166, type, esk54_0: $i). 0.59/180.07 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', nonemptyI)). 0.59/180.07 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', nonempty)). 0.59/180.07 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', replAx)). 0.59/180.07 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', exu)). 0.59/180.07 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', exuEu)). 0.59/180.07 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.vd92LAmOZg/E---3.1_5692.p', exuI1)). 0.59/180.07 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', exuI3)). 0.59/180.07 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', exuI2)). 0.59/180.07 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.vd92LAmOZg/E---3.1_5692.p', exuE3u)). 0.59/180.07 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', exu__Cong)). 0.59/180.07 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', descr__Cong)). 0.59/180.07 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', exuE2)). 0.59/180.07 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', exuE3e)). 0.59/180.07 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', exuE1)). 0.59/180.07 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', descrp)). 0.59/180.07 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', nonemptyI1)). 0.59/180.07 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', nonemptyE1)). 0.59/180.07 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setbeta)). 0.59/180.07 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', nonemptyImpWitness)). 0.59/180.07 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', dsetconstrI)). 0.59/180.07 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.vd92LAmOZg/E---3.1_5692.p', emptyE1)). 0.59/180.07 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', dsetconstr__Cong)). 0.59/180.07 thf(subset, axiom, ((subset)=(^[X4:$i, X5:$i]:(![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', subset)). 0.59/180.07 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setoftrueEq)). 0.59/180.07 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', dsetconstrER)). 0.59/180.07 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', dsetconstrEL)). 0.59/180.07 thf(subsetI1, conjecture, ((setextAx)=>(((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((((foundationAx)=>(((descrp)=>(((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>(((emptysetimpfalse)=>(((exuE3e)=>((((noeltsimpempty)=>((((nonemptyI)=>(((((setadjoinIR)=>((setadjoinE)=>(((setoftrueEq)=>((powersetI)=>((((((setunionE)=>((((nonemptyImpWitness)=>((uniqinunit)=>((((singletonsswitch)=>(((((emptyE1)=>((vacuousDall)=>(((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>(((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>(((in__Cong)=>((exuE3u)=>((exu__Cong)=>(((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>(((exuEu)=>(((dsetconstr__Cong)=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5))))<=(descr__Cong)))<=(omega__Cong)))))<=(emptyset__Cong)))))<=(inCongP)))))))<=(prop2set2propI))))))<=(quantDeMorgan1))))<=(upairsetIR))<=(upairsetIL))<=(upairsetE)))<=(eqinunit))<=(notinsingleton))))<=(exuE2))<=(subPowSU)))<=(setunionI))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset))))<=(setadjoinOr))))<=(emptyinunitempty))<=(setadjoinIL))<=(nonemptyI1)))<=(nonemptyE1))<=(setbeta)))<=(emptyI))<=(setext)))<=(notinemptyset)))<=(emptysetE))))))<=(dsetconstrI)))<=(wellorderingAx)))<=(replAx))<=(omegaIndAx)))))))<=(emptysetAx))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', subsetI1)). 0.59/180.07 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setadjoinIR)). 0.59/180.07 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', emptysetAx)). 0.59/180.07 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setadjoinOr)). 0.59/180.07 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', emptyinunitempty)). 0.59/180.07 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setadjoinIL)). 0.59/180.07 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', powersetI)). 0.59/180.07 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.vd92LAmOZg/E---3.1_5692.p', setunionE)). 0.59/180.07 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', emptyI)). 0.59/180.07 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.vd92LAmOZg/E---3.1_5692.p', setext)). 0.59/180.07 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', notinemptyset)). 0.59/180.07 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', emptysetE)). 0.59/180.07 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', uniqinunit)). 0.59/180.07 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.vd92LAmOZg/E---3.1_5692.p', wellorderingAx)). 0.59/180.07 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', singletonsswitch)). 0.59/180.07 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', omegaIndAx)). 0.59/180.07 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', vacuousDall)). 0.59/180.07 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', quantDeMorgan2)). 0.59/180.07 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', quantDeMorgan3)). 0.59/180.07 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', quantDeMorgan4)). 0.59/180.07 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', prop2setI)). 0.59/180.07 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', notdexE)). 0.59/180.07 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', notdallE)). 0.59/180.07 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setadjoinE)). 0.59/180.07 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', in__Cong)). 0.59/180.07 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setadjoin__Cong)). 0.59/180.07 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', powerset__Cong)). 0.59/180.07 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setunion__Cong)). 0.59/180.07 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', omega__Cong)). 0.59/180.07 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', emptyset__Cong)). 0.59/180.07 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', inCongP)). 0.59/180.07 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', quantDeMorgan1)). 0.59/180.07 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', upairsetIR)). 0.59/180.07 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', upairsetIL)). 0.59/180.07 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', upairsetE)). 0.59/180.07 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', eqinunit)). 0.59/180.07 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', notinsingleton)). 0.59/180.07 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', subPowSU)). 0.59/180.07 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setunionI)). 0.59/180.07 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', powersetE)). 0.59/180.07 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', emptyInPowerset)). 0.59/180.07 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', emptyinPowerset)). 0.59/180.07 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', noeltsimpempty)). 0.59/180.07 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', emptysetimpfalse)). 0.59/180.07 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', prop2setE)). 0.59/180.07 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.vd92LAmOZg/E---3.1_5692.p', foundationAx)). 0.59/180.07 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', omegaSAx)). 0.59/180.07 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', omega0Ax)). 0.59/180.07 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setunionAx)). 0.59/180.07 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', powersetAx)). 0.59/180.07 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setadjoinAx)). 0.59/180.07 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.vd92LAmOZg/E---3.1_5692.p', setextAx)). 0.59/180.07 thf(c_0_78, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.59/180.07 thf(c_0_79, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.59/180.07 thf(c_0_80, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.59/180.07 thf(c_0_81, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.59/180.07 thf(c_0_82, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])). 0.59/180.07 thf(c_0_83, 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])). 0.59/180.07 thf(c_0_84, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.59/180.07 thf(c_0_85, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])). 0.59/180.07 thf(c_0_86, 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])). 0.59/180.07 thf(c_0_87, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])). 0.59/180.07 thf(c_0_88, plain, ((descr__Cong)<=>![X1:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])). 0.59/180.07 thf(c_0_89, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.59/180.07 thf(c_0_90, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.59/180.07 thf(c_0_91, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.59/180.07 thf(c_0_92, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.59/180.07 thf(c_0_93, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_78, c_0_79])). 0.59/180.07 thf(c_0_94, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_79])). 0.59/180.07 thf(c_0_95, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_79])). 0.59/180.07 thf(c_0_96, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.59/180.07 thf(c_0_97, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_79])). 0.59/180.07 thf(c_0_98, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.59/180.07 thf(c_0_99, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X233:$i]:((((X6 @ X2 @ X233))&![X234:$i]:((((X6 @ X2 @ X234))=>((X233)=(X234)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_80, c_0_81])). 0.59/180.07 thf(c_0_100, 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])). 0.59/180.07 thf(c_0_101, plain, ((exuEu)=(![X1:$i > $o]:(((?[X255:$i]:((((X1 @ X255))&![X256:$i]:((((X1 @ X256))=>((X255)=(X256)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_82, c_0_81])). 0.59/180.07 thf(c_0_102, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X243:$i]:((((X1 @ X243))&![X244:$i]:((((X1 @ X244))=>((X243)=(X244))))))))))), inference(apply_def,[status(thm)],[c_0_83, c_0_81])). 0.59/180.07 thf(c_0_103, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X245:$i]:((((X1 @ X245))&![X246:$i]:((((X1 @ X246))=>((X245)=(X246)))))))))))), inference(apply_def,[status(thm)],[c_0_84, c_0_81])). 0.59/180.07 thf(c_0_104, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X247:$i]:((((X1 @ X247))&![X248:$i]:((((X1 @ X248))=>((X247)=(X248))))))))))), inference(apply_def,[status(thm)],[c_0_85, c_0_81])). 0.59/180.07 thf(c_0_105, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X249:$i]:((((X1 @ X249))&![X250:$i]:((((X1 @ X250))=>((X249)=(X250)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_86, c_0_81])). 0.59/180.07 thf(c_0_106, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X251:$i]:((((X1 @ X251))&![X252:$i]:((((X1 @ X252))=>((X251)=(X252)))))))<=>(?[X253:$i]:((((X17 @ X253))&![X254:$i]:((((X17 @ X254))=>((X253)=(X254)))))))))))), inference(apply_def,[status(thm)],[c_0_87, c_0_81])). 0.59/180.07 thf(c_0_107, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])). 0.59/180.07 thf(c_0_108, plain, ((subset)=(^[Z0/* 19 */:$i, Z1:$i]:(![X2:$i]:(((in @ X2 @ Z0)=>(in @ X2 @ Z1)))))), inference(fof_simplification,[status(thm)],[subset])). 0.59/180.07 thf(c_0_109, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X257:$i]:((((X1 @ X257))&![X258:$i]:((((X1 @ X258))=>((X257)=(X258)))))))=>((?[X259:$i]:((((X17 @ X259))&![X260:$i]:((((X17 @ X260))=>((X259)=(X260)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_88, c_0_81])). 0.59/180.07 thf(c_0_110, plain, ((exuE2)=(![X1:$i > $o]:(((?[X241:$i]:((((X1 @ X241))&![X242:$i]:((((X1 @ X242))=>((X241)=(X242)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_89, c_0_81])). 0.59/180.07 thf(c_0_111, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.59/180.07 thf(c_0_112, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X239:$i]:((((X1 @ X239))&![X240:$i]:((((X1 @ X240))=>((X239)=(X240)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_90, c_0_81])). 0.59/180.07 thf(c_0_113, plain, ((exuE1)=(![X1:$i > $o]:(((?[X237:$i]:((((X1 @ X237))&![X238:$i]:((((X1 @ X238))=>((X237)=(X238)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_81])). 0.59/180.07 thf(c_0_114, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.59/180.07 thf(c_0_115, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.59/180.07 thf(c_0_116, plain, ((descrp)=(![X1:$i > $o]:(((?[X235:$i]:((((X1 @ X235))&![X236:$i]:((((X1 @ X236))=>((X235)=(X236)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_81])). 0.59/180.07 thf(c_0_117, plain, ((epred1_0)<=>![X470:$i]:(?[X471:$i]:((((![X472:$i]:(((in @ X472 @ X471)=>![X473:$i]:(((in @ X473 @ X472)=>(in @ X473 @ X470)))))&![X474:$i, X475:$i]:((((in @ X474 @ X470)&(in @ X475 @ X470))=>(![X476:$i]:(((in @ X476 @ X471)=>((in @ X474 @ X476)<=>(in @ X475 @ X476))))=>((X474)=(X475))))))&![X477:$i, X478:$i]:((((in @ X477 @ X471)&(in @ X478 @ X471))=>(![X479:$i]:(((in @ X479 @ X477)=>(in @ X479 @ X478)))|![X480:$i]:(((in @ X480 @ X478)=>(in @ X480 @ X477)))))))&![X481:$i]:(((![X482:$i]:(((in @ X482 @ X481)=>(in @ X482 @ X470)))&?[X483:$i]:((in @ X483 @ X481)))=>?[X484:$i, X485:$i]:(((((in @ X484 @ X471)&(in @ X485 @ X481))&~(?[X486:$i]:(((in @ X486 @ X484)&(in @ X486 @ X481)))))&![X487:$i]:(((in @ X487 @ X471)=>(![X488:$i]:(((in @ X488 @ X487)=>(in @ X488 @ X484)))|(in @ X485 @ X487)))))))))))), introduced(definition)). 0.59/180.07 thf(c_0_118, negated_conjecture, ~((![X261:$i, X262:$i]:((![X263:$i]:(((in @ X263 @ X261)<=>(in @ X263 @ X262)))=>((X261)=(X262))))=>(![X500:$i]:(~(in @ X500 @ emptyset))=>(![X264:$i, X265:$i, X266:$i]:(((in @ X266 @ (setadjoin @ X264 @ X265))<=>(((X266)=(X264))|(in @ X266 @ X265))))=>(![X267:$i, X268:$i]:(((in @ X268 @ (powerset @ X267))<=>![X269:$i]:(((in @ X269 @ X268)=>(in @ X269 @ X267)))))=>(![X270:$i, X271:$i]:(((in @ X271 @ (setunion @ X270))<=>?[X272:$i]:(((in @ X271 @ X272)&(in @ X272 @ X270)))))=>((in @ emptyset @ omega)=>(![X273:$i]:(((in @ X273 @ omega)=>(in @ (setadjoin @ X273 @ X273) @ omega)))=>(![X497:$i]:((((in @ emptyset @ X497)&![X498:$i]:((((in @ X498 @ omega)&(in @ X498 @ X497))=>(in @ (setadjoin @ X498 @ X498) @ X497))))=>![X499:$i]:(((in @ X499 @ omega)=>(in @ X499 @ X497)))))=>(![X489:$i > $i > $o, X490:$i]:((![X491:$i]:(((in @ X491 @ X490)=>?[X492:$i]:(((X489 @ X491 @ X492)&![X493:$i]:(((X489 @ X491 @ X493)=>((X492)=(X493))))))))=>?[X494:$i]:(![X495:$i]:(((in @ X495 @ X494)<=>?[X496:$i]:(((in @ X496 @ X490)&(X489 @ X496 @ X495))))))))=>(![X274:$i]:((?[X275:$i]:((in @ X275 @ X274))=>?[X276:$i]:(((in @ X276 @ X274)&~(?[X277:$i]:(((in @ X277 @ X276)&(in @ X277 @ X274))))))))=>((epred1_0)=>(![X278:$i > $o]:((?[X279:$i]:(((X278 @ X279)&![X280:$i]:(((X278 @ X280)=>((X279)=(X280))))))=>(X278 @ (descr @ (^[Z0/* 3 */:$i]:((X278 @ Z0)))))))=>(![X467:$i, X468:$i > $o, X469:$i]:(((in @ X469 @ X467)=>((X468 @ X469)=>(in @ X469 @ (dsetconstr @ X467 @ (^[Z0/* 3 */:$i]:((X468 @ Z0))))))))=>(![X281:$i, X282:$i > $o, X283:$i]:(((in @ X283 @ (dsetconstr @ X281 @ (^[Z0/* 3 */:$i]:((X282 @ Z0)))))=>(in @ X283 @ X281)))=>(![X284:$i, X285:$i > $o, X286:$i]:(((in @ X286 @ (dsetconstr @ X284 @ (^[Z0/* 3 */:$i]:((X285 @ Z0)))))=>(X285 @ X286)))=>(![X287:$i > $o]:((?[X288:$i]:(((X287 @ X288)&![X289:$i]:(((X287 @ X289)=>((X288)=(X289))))))=>?[X290:$i]:(((X287 @ X290)&![X291:$i]:(((X287 @ X291)=>((X290)=(X291))))))))=>(![X292:$o, X293:$i]:(((in @ X293 @ (prop2set @ ((X292))))=>(X292)))=>(![X465:$i]:(((in @ X465 @ emptyset)=>![X466:$o]:((X466))))=>(![X294:$i]:(~(in @ X294 @ emptyset))=>(![X464:$i]:(~(in @ X464 @ emptyset))=>(![X295:$i > $o]:((?[X296:$i]:(((X295 @ X296)&![X297:$i]:(((X295 @ X297)=>((X296)=(X297))))))=>?[X298:$i]:((X295 @ X298))))=>(![X460:$i, X461:$i]:((![X462:$i]:(((in @ X462 @ X460)=>(in @ X462 @ X461)))=>(![X463:$i]:(((in @ X463 @ X461)=>(in @ X463 @ X460)))=>((X460)=(X461)))))=>(![X458:$i]:((![X459:$i]:(~(in @ X459 @ X458))=>((X458)=(emptyset))))=>(![X299:$i]:((![X300:$i]:(~(in @ X300 @ X299))=>((X299)=(emptyset))))=>(![X455:$i, X456:$i > $o, X457:$i]:(((in @ X457 @ X455)=>((in @ X457 @ (dsetconstr @ X455 @ (^[Z0/* 3 */:$i]:((X456 @ Z0)))))<=>(X456 @ X457))))=>(![X453:$i]:((((X453)!=(emptyset))=>?[X454:$i]:((in @ X454 @ X453))))=>(![X301:$i, X302:$i > $o, X303:$i]:(((in @ X303 @ X301)=>((X302 @ X303)=>((dsetconstr @ X301 @ (^[Z0/* 3 */:$i]:((X302 @ Z0))))!=(emptyset)))))=>(![X451:$i]:((?[X452:$i]:((in @ X452 @ X451))=>((X451)!=(emptyset))))=>(![X449:$i, X450:$i]:((in @ X449 @ (setadjoin @ X449 @ X450)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X304:$i, X305:$i, X306:$i]:(((in @ X306 @ X305)=>(in @ X306 @ (setadjoin @ X304 @ X305))))=>(![X307:$i, X308:$i, X309:$i]:(((in @ X309 @ (setadjoin @ X307 @ X308))=>![X310:$o]:(((((X309)=(X307))=>(X310))=>(((in @ X309 @ X308)=>(X310))=>(X310))))))=>(![X446:$i, X447:$i, X448:$i]:(((in @ X448 @ (setadjoin @ X446 @ X447))=>(((X448)=(X446))|(in @ X448 @ X447))))=>(![X311:$i]:(((dsetconstr @ X311 @ (^[Z0/* 3 */:$i]:(($true))))=(X311)))=>(![X312:$i, X313:$i]:((![X314:$i]:(((in @ X314 @ X313)=>(in @ X314 @ X312)))=>(in @ X313 @ (powerset @ X312))))=>(![X445:$i]:((in @ emptyset @ (powerset @ X445)))=>(![X444:$i]:((in @ emptyset @ (powerset @ X444)))=>(![X441:$i, X442:$i, X443:$i]:(((in @ X442 @ (powerset @ X441))=>((in @ X443 @ X442)=>(in @ X443 @ X441))))=>(![X438:$i, X439:$i, X440:$i]:(((in @ X439 @ X440)=>((in @ X440 @ X438)=>(in @ X439 @ (setunion @ X438)))))=>(![X315:$i, X316:$i]:(((in @ X316 @ (setunion @ X315))=>![X317:$o]:((![X318:$i]:(((in @ X316 @ X318)=>((in @ X318 @ X315)=>(X317))))=>(X317)))))=>(![X436:$i, X437:$i]:(((in @ X437 @ X436)=>(in @ X437 @ (powerset @ (setunion @ X436)))))=>(![X431:$i > $o]:((?[X432:$i]:(((X431 @ X432)&![X433:$i]:(((X431 @ X433)=>((X432)=(X433))))))=>?[X434:$i]:(![X435:$i]:(((X431 @ X435)<=>((X435)=(X434)))))))=>(![X319:$i]:((((X319)!=(emptyset))=>?[X320:$i]:((in @ X320 @ X319))))=>(![X321:$i, X322:$i]:(((in @ X321 @ (setadjoin @ X322 @ emptyset))=>((X321)=(X322))))=>(![X429:$i, X430:$i]:((((X429)!=(X430))=>~(in @ X430 @ (setadjoin @ X429 @ emptyset))))=>(![X427:$i, X428:$i]:((((X427)=(X428))=>(in @ X427 @ (setadjoin @ X428 @ emptyset))))=>(![X323:$i, X324:$i]:(((in @ X323 @ (setadjoin @ X324 @ emptyset))=>(in @ X324 @ (setadjoin @ X323 @ emptyset))))=>(![X424:$i, X425:$i, X426:$i]:(((in @ X426 @ (setadjoin @ X424 @ (setadjoin @ X425 @ emptyset)))=>(((X426)=(X424))|((X426)=(X425)))))=>(![X422:$i, X423:$i]:((in @ X422 @ (setadjoin @ X422 @ (setadjoin @ X423 @ emptyset))))=>(![X420:$i, X421:$i]:((in @ X421 @ (setadjoin @ X420 @ (setadjoin @ X421 @ emptyset))))=>(![X325:$i, X326:$i > $o]:((?[X327:$i]:(((in @ X327 @ X325)&(X326 @ X327)))=>((dsetconstr @ X325 @ (^[Z0/* 3 */:$i]:((X326 @ Z0))))!=(emptyset))))=>(![X328:$i > $o, X329:$i]:(((in @ X329 @ emptyset)=>(X328 @ X329)))=>(![X416:$i, X417:$i > $o]:((~(![X418:$i]:(((in @ X418 @ X416)=>(X417 @ X418))))=>?[X419:$i]:(((in @ X419 @ X416)&~(X417 @ X419)))))=>(![X330:$i, X331:$i > $o]:((![X332:$i]:(((in @ X332 @ X330)=>~(X331 @ X332)))=>~(?[X333:$i]:(((in @ X333 @ X330)&(X331 @ X333))))))=>(![X334:$i, X335:$i > $o]:((~(?[X336:$i]:(((in @ X336 @ X334)&(X335 @ X336))))=>![X337:$i]:(((in @ X337 @ X334)=>~(X335 @ X337)))))=>(![X338:$i, X339:$i > $o]:((?[X340:$i]:(((in @ X340 @ X338)&~(X339 @ X340)))=>~(![X341:$i]:(((in @ X341 @ X338)=>(X339 @ X341))))))=>(![X342:$o]:(((X342)=>(in @ emptyset @ (prop2set @ ((X342))))))=>((prop2set2propI)=>(![X343:$i, X344:$i > $o]:((~(?[X345:$i]:(((in @ X345 @ X343)&(X344 @ X345))))=>![X346:$i]:(((in @ X346 @ X343)=>~(X344 @ X346)))))=>(![X347:$i, X348:$i > $o]:((~(![X349:$i]:(((in @ X349 @ X347)=>(X348 @ X349))))=>?[X350:$i]:(((in @ X350 @ X347)&~(X348 @ X350)))))=>(![X351:$i > $o]:((?[X352:$i]:(((X351 @ X352)&![X353:$i]:(((X351 @ X353)=>((X352)=(X353))))))=>?[X354:$i]:(((X351 @ X354)&![X355:$i]:(((X351 @ X355)=>((X354)=(X355))))))))=>(![X356:$i > $o]:((?[X357:$i]:((X356 @ X357))=>(![X358:$i, X359:$i]:(((X356 @ X358)=>((X356 @ X359)=>((X358)=(X359)))))=>?[X360:$i]:(((X356 @ X360)&![X361:$i]:(((X356 @ X361)=>((X360)=(X361)))))))))=>(![X362:$i > $o]:((?[X363:$i]:(![X364:$i]:(((X362 @ X364)<=>((X364)=(X363)))))=>?[X365:$i]:(((X362 @ X365)&![X366:$i]:(((X362 @ X366)=>((X365)=(X366))))))))=>(![X412:$i, X413:$i]:((((X412)=(X413))=>![X414:$i, X415:$i]:((((X414)=(X415))=>((in @ X414 @ X412)=>(in @ X415 @ X413))))))=>(![X367:$i, X368:$i]:((((X367)=(X368))=>![X369:$i, X370:$i]:((((X369)=(X370))=>((in @ X369 @ X367)<=>(in @ X370 @ X368))))))=>(![X371:$i > $o]:((?[X372:$i]:(((X371 @ X372)&![X373:$i]:(((X371 @ X373)=>((X372)=(X373))))))=>![X374:$i, X375:$i]:(((X371 @ X374)=>((X371 @ X375)=>((X374)=(X375)))))))=>(![X376:$i > $o, X377:$i > $o]:((![X378:$i, X379:$i]:((((X378)=(X379))=>((X376 @ X378)<=>(X377 @ X379))))=>(?[X380:$i]:(((X376 @ X380)&![X381:$i]:(((X376 @ X381)=>((X380)=(X381))))))<=>?[X382:$i]:(((X377 @ X382)&![X383:$i]:(((X377 @ X383)=>((X382)=(X383)))))))))=>(((emptyset)=(emptyset))=>(![X384:$i, X385:$i]:((((X384)=(X385))=>![X386:$i, X387:$i]:((((X386)=(X387))=>((setadjoin @ X384 @ X386)=(setadjoin @ X385 @ X387))))))=>(![X388:$i, X389:$i]:((((X388)=(X389))=>((powerset @ X388)=(powerset @ X389))))=>(![X390:$i, X391:$i]:((((X390)=(X391))=>((setunion @ X390)=(setunion @ X391))))=>(((omega)=(omega))=>(![X392:$i > $o]:((?[X393:$i]:(((X392 @ X393)&![X394:$i]:(((X392 @ X394)=>((X393)=(X394))))))=>![X395:$i, X396:$i]:(((X392 @ X395)=>((X392 @ X396)=>((X395)=(X396)))))))=>(![X404:$i > $o, X405:$i > $o]:((![X406:$i, X407:$i]:((((X406)=(X407))=>((X404 @ X406)<=>(X405 @ X407))))=>(?[X408:$i]:(((X404 @ X408)&![X409:$i]:(((X404 @ X409)=>((X408)=(X409))))))=>(?[X410:$i]:(((X405 @ X410)&![X411:$i]:(((X405 @ X411)=>((X410)=(X411))))))=>((descr @ (^[Z0/* 3 */:$i]:((X404 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X405 @ Z0)))))))))=>(![X397:$i, X398:$i]:((((X397)=(X398))=>![X399:$i > $o, X400:$i > $o]:((![X401:$i]:(((in @ X401 @ X397)=>![X402:$i]:(((in @ X402 @ X398)=>(((X401)=(X402))=>((X399 @ X401)<=>(X400 @ X402)))))))=>((dsetconstr @ X397 @ (^[Z0/* 3 */:$i]:((X399 @ Z0))))=(dsetconstr @ X398 @ (^[Z0/* 3 */:$i]:((X400 @ Z0)))))))))=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>![X403:$i]:(((in @ X403 @ X4)=>(in @ X403 @ 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(assume_negation,[status(cth)],[subsetI1]), setadjoinIR]), emptysetAx]), setadjoinOr]), c_0_93]), emptyinunitempty]), setadjoinIL]), powersetI]), c_0_94]), c_0_95]), c_0_96]), setunionE]), emptyI]), setext]), c_0_97]), notinemptyset]), emptysetE]), c_0_98]), uniqinunit]), wellorderingAx]), c_0_99]), singletonsswitch]), omegaIndAx]), c_0_100]), vacuousDall]), c_0_101]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), notdexE]), notdallE]), c_0_102]), c_0_103]), setadjoinE]), c_0_104]), in__Cong]), c_0_105]), c_0_106]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), c_0_107]), c_0_108]), c_0_109]), omega__Cong]), emptyset__Cong]), inCongP]), quantDeMorgan1]), upairsetIR]), upairsetIL]), upairsetE]), eqinunit]), notinsingleton]), c_0_110]), subPowSU]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), c_0_111]), noeltsimpempty]), c_0_112]), emptysetimpfalse]), prop2setE]), c_0_113]), c_0_114]), c_0_115]), c_0_116]), foundationAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), setextAx])]), c_0_117])). 0.59/180.07 thf(c_0_119, negated_conjecture, ![X501:$i, X502:$i, X504:$i, X505:$i, X506:$i, X507:$i, X508:$i, X509:$i, X510:$i, X511:$i, X512:$i, X514:$i, X515:$i, X517:$i, X518:$i, X519:$i, X520:$i, X521:$i, X523:$i, X524:$i > $i > $o, X525:$i, X527:$i, X530:$i, X532:$i, X533:$i, X534:$i, X535:$i, X537:$i, X538:$i > $o, X539:$i, X541:$i, X542:$i > $o, X543:$i, X544:$i, X545:$i > $o, X546:$i, X547:$i, X548:$i > $o, X549:$i, X550:$i > $o, X551:$i, X554:$i, X555:$o, X556:$i, X557:$i, X558:$o, X559:$i, X560:$i, X561:$i > $o, X562:$i, X565:$i, X566:$i, X569:$i, X571:$i, X573:$i, X574:$i > $o, X575:$i, X576:$i, X578:$i, X579:$i > $o, X580:$i, X581:$i, X582:$i, X583:$i, X584:$i, X585:$i, X586:$i, X587:$i, X588:$i, X589:$i, X590:$i, X591:$o, X592:$i, X593:$i, X594:$i, X595:$i, X596:$i, X597:$i, X599:$i, X600:$i, X601:$i, X602:$i, X603:$i, X604:$i, X605:$i, X606:$i, X607:$i, X608:$i, X609:$o, X611:$i, X612:$i, X613:$i > $o, X614:$i, X617:$i, X618:$i, X619:$i, X621:$i, X622:$i, X623:$i, X624:$i, X625:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X631:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i > $o, X638:$i, X639:$i > $o, X640:$i, X641:$i, X642:$i > $o, X643:$i, X645:$i, X646:$i > $o, X648:$i, X649:$i, X650:$i > $o, X652:$i, X653:$i, X654:$i > $o, X655:$i, X657:$o, X658:$i, X659:$i > $o, X661:$i, X662:$i, X663:$i > $o, X664:$i, X666:$i > $o, X667:$i, X670:$i, X671:$i > $o, X672:$i, X676:$i, X677:$i > $o, X678:$i, X681:$i, X682:$i, X683:$i, X684:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i > $o, X691:$i, X693:$i, X694:$i, X695:$i > $o, X696:$i > $o, X699:$i, X702:$i, X703:$i, X706:$i, X707:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i > $o, X716:$i, X718:$i, X719:$i, X720:$i > $o, X721:$i > $o, X724:$i, X726:$i, X728:$i, X729:$i, X730:$i > $o, X731:$i > $o, X736:$i]:((((~(in @ (esk1_2 @ X501 @ X502) @ X501)|~(in @ (esk1_2 @ X501 @ X502) @ X502)|((X501)=(X502)))&((in @ (esk1_2 @ X501 @ X502) @ X501)|(in @ (esk1_2 @ X501 @ X502) @ X502)|((X501)=(X502))))&(~(in @ X504 @ emptyset)&(((~(in @ X507 @ (setadjoin @ X505 @ X506))|(((X507)=(X505))|(in @ X507 @ X506)))&((((X507)!=(X505))|(in @ X507 @ (setadjoin @ X505 @ X506)))&(~(in @ X507 @ X506)|(in @ X507 @ (setadjoin @ X505 @ X506)))))&(((~(in @ X509 @ (powerset @ X508))|(~(in @ X510 @ X509)|(in @ X510 @ X508)))&(((in @ (esk2_2 @ X511 @ X512) @ X512)|(in @ X512 @ (powerset @ X511)))&(~(in @ (esk2_2 @ X511 @ X512) @ X511)|(in @ X512 @ (powerset @ X511)))))&(((((in @ X515 @ (esk3_2 @ X514 @ X515))|~(in @ X515 @ (setunion @ X514)))&((in @ (esk3_2 @ X514 @ X515) @ X514)|~(in @ X515 @ (setunion @ X514))))&(~(in @ X518 @ X519)|~(in @ X519 @ X517)|(in @ X518 @ (setunion @ X517))))&((in @ emptyset @ omega)&((~(in @ X520 @ omega)|(in @ (setadjoin @ X520 @ X520) @ omega))&(((((in @ (esk4_1 @ X521) @ omega)|~(in @ emptyset @ X521)|(~(in @ X523 @ omega)|(in @ X523 @ X521)))&((in @ (esk4_1 @ X521) @ X521)|~(in @ emptyset @ X521)|(~(in @ X523 @ omega)|(in @ X523 @ X521))))&(~(in @ (setadjoin @ (esk4_1 @ X521) @ (esk4_1 @ X521)) @ X521)|~(in @ emptyset @ X521)|(~(in @ X523 @ omega)|(in @ X523 @ X521))))&((((((in @ (esk8_3 @ X524 @ X525 @ X530) @ X525)|~(in @ X530 @ (esk7_2 @ X524 @ X525))|(in @ (esk5_2 @ X524 @ X525) @ X525))&((X524 @ (esk8_3 @ X524 @ X525 @ X530) @ X530)|~(in @ X530 @ (esk7_2 @ X524 @ X525))|(in @ (esk5_2 @ X524 @ X525) @ X525)))&(~(in @ X533 @ X525)|~(X524 @ X533 @ X532)|(in @ X532 @ (esk7_2 @ X524 @ X525))|(in @ (esk5_2 @ X524 @ X525) @ X525)))&(((((in @ (esk8_3 @ X524 @ X525 @ X530) @ X525)|~(in @ X530 @ (esk7_2 @ X524 @ X525))|((X524 @ (esk5_2 @ X524 @ X525) @ (esk6_3 @ X524 @ X525 @ X527))|~(X524 @ (esk5_2 @ X524 @ X525) @ X527)))&((X524 @ (esk8_3 @ X524 @ X525 @ X530) @ X530)|~(in @ X530 @ (esk7_2 @ X524 @ X525))|((X524 @ (esk5_2 @ X524 @ X525) @ (esk6_3 @ X524 @ X525 @ X527))|~(X524 @ (esk5_2 @ X524 @ X525) @ X527))))&(~(in @ X533 @ X525)|~(X524 @ X533 @ X532)|(in @ X532 @ (esk7_2 @ X524 @ X525))|((X524 @ (esk5_2 @ X524 @ X525) @ (esk6_3 @ X524 @ X525 @ X527))|~(X524 @ (esk5_2 @ X524 @ X525) @ X527))))&((((in @ (esk8_3 @ X524 @ X525 @ X530) @ X525)|~(in @ X530 @ (esk7_2 @ X524 @ X525))|(((X527)!=(esk6_3 @ X524 @ X525 @ X527))|~(X524 @ (esk5_2 @ X524 @ X525) @ X527)))&((X524 @ (esk8_3 @ X524 @ X525 @ X530) @ X530)|~(in @ X530 @ (esk7_2 @ X524 @ X525))|(((X527)!=(esk6_3 @ X524 @ X525 @ X527))|~(X524 @ (esk5_2 @ X524 @ X525) @ X527))))&(~(in @ X533 @ X525)|~(X524 @ X533 @ X532)|(in @ X532 @ (esk7_2 @ X524 @ X525))|(((X527)!=(esk6_3 @ X524 @ X525 @ X527))|~(X524 @ (esk5_2 @ X524 @ X525) @ X527))))))&((((in @ (esk9_1 @ X534) @ X534)|~(in @ X535 @ X534))&(~(in @ X537 @ (esk9_1 @ X534))|~(in @ X537 @ X534)|~(in @ X535 @ X534)))&((epred1_0)&((((X538 @ (esk10_2 @ X538 @ X539))|~(X538 @ X539)|(X538 @ (descr @ (^[Z0/* 3 */:$i]:((X538 @ Z0))))))&(((X539)!=(esk10_2 @ X538 @ X539))|~(X538 @ X539)|(X538 @ (descr @ (^[Z0/* 3 */:$i]:((X538 @ Z0)))))))&((~(in @ X543 @ 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X721)))))&(((X721 @ (esk49_3 @ X720 @ X721 @ X726))|~(X721 @ X726)|((descr @ (^[Z0/* 3 */:$i]:((X720 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X721 @ Z0)))))|(((X724)!=(esk48_3 @ X720 @ X721 @ X724))|~(X720 @ X724))|((X720 @ (esk46_2 @ X720 @ X721))|(X721 @ (esk47_2 @ X720 @ X721))))&(((X726)!=(esk49_3 @ X720 @ X721 @ X726))|~(X721 @ X726)|((descr @ (^[Z0/* 3 */:$i]:((X720 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X721 @ Z0)))))|(((X724)!=(esk48_3 @ X720 @ X721 @ X724))|~(X720 @ X724))|((X720 @ (esk46_2 @ X720 @ X721))|(X721 @ (esk47_2 @ X720 @ X721))))))))&((((in @ (esk50_4 @ X728 @ X729 @ X730 @ X731) @ X728)|((dsetconstr @ X728 @ (^[Z0/* 3 */:$i]:((X730 @ Z0))))=(dsetconstr @ X729 @ (^[Z0/* 3 */:$i]:((X731 @ Z0)))))|((X728)!=(X729)))&(((in @ (esk51_4 @ X728 @ X729 @ X730 @ X731) @ X729)|((dsetconstr @ X728 @ (^[Z0/* 3 */:$i]:((X730 @ Z0))))=(dsetconstr @ X729 @ (^[Z0/* 3 */:$i]:((X731 @ Z0)))))|((X728)!=(X729)))&((((esk50_4 @ X728 @ X729 @ X730 @ X731)=(esk51_4 @ X728 @ X729 @ X730 @ X731))|((dsetconstr @ X728 @ (^[Z0/* 3 */:$i]:((X730 @ Z0))))=(dsetconstr @ X729 @ (^[Z0/* 3 */:$i]:((X731 @ Z0)))))|((X728)!=(X729)))&((~(X730 @ (esk50_4 @ X728 @ X729 @ X730 @ X731))|~(X731 @ (esk51_4 @ X728 @ X729 @ X730 @ X731))|((dsetconstr @ X728 @ (^[Z0/* 3 */:$i]:((X730 @ Z0))))=(dsetconstr @ X729 @ (^[Z0/* 3 */:$i]:((X731 @ Z0)))))|((X728)!=(X729)))&((X730 @ (esk50_4 @ X728 @ X729 @ X730 @ X731))|(X731 @ (esk51_4 @ X728 @ X729 @ X730 @ X731))|((dsetconstr @ X728 @ (^[Z0/* 3 */:$i]:((X730 @ Z0))))=(dsetconstr @ X729 @ (^[Z0/* 3 */:$i]:((X731 @ Z0)))))|((X728)!=(X729)))))))&((~(in @ X736 @ esk52_0)|(in @ X736 @ esk53_0))&((in @ esk54_0 @ esk52_0)&~(in @ esk54_0 @ esk53_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_118])])])])])])). 0.59/180.07 thf(c_0_120, negated_conjecture, ~((in @ esk54_0 @ esk53_0)), inference(split_conjunct,[status(thm)],[c_0_119])). 0.59/180.07 thf(c_0_121, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk53_0)|~((in @ X2 @ esk52_0)))), inference(split_conjunct,[status(thm)],[c_0_119])). 0.59/180.07 thf(c_0_122, negated_conjecture, (in @ esk54_0 @ esk52_0), inference(split_conjunct,[status(thm)],[c_0_119])). 0.59/180.07 thf(c_0_123, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_122])]), ['proof']). 0.59/180.07 # SZS output end CNFRefutation 0.59/180.07 # Parsed axioms : 169 0.59/180.07 # Removed by relevancy pruning/SinE : 91 0.59/180.07 # Initial clauses : 185 0.59/180.07 # Removed in clause preprocessing : 12 0.59/180.07 # Initial clauses in saturation : 173 0.59/180.07 # Processed clauses : 192 0.59/180.07 # ...of these trivial : 2 0.59/180.07 # ...subsumed : 14 0.59/180.07 # ...remaining for further processing : 176 0.59/180.07 # Other redundant clauses eliminated : 10 0.59/180.07 # Clauses deleted for lack of memory : 0 0.59/180.07 # Backward-subsumed : 0 0.59/180.07 # Backward-rewritten : 1 0.59/180.07 # Generated clauses : 12 0.59/180.07 # ...of the previous two non-redundant : 8 0.59/180.07 # ...aggressively subsumed : 0 0.59/180.07 # Contextual simplify-reflections : 0 0.59/180.07 # Paramodulations : 1 0.59/180.07 # Factorizations : 0 0.59/180.07 # NegExts : 0 0.59/180.07 # Equation resolutions : 10 0.59/180.07 # Disequality decompositions : 0 0.59/180.07 # Total rewrite steps : 19 0.59/180.07 # ...of those cached : 12 0.59/180.07 # Propositional unsat checks : 0 0.59/180.07 # Propositional check models : 0 0.59/180.07 # Propositional check unsatisfiable : 0 0.59/180.07 # Propositional clauses : 0 0.59/180.07 # Propositional clauses after purity: 0 0.59/180.07 # Propositional unsat core size : 0 0.59/180.07 # Propositional preprocessing time : 0.000 0.59/180.07 # Propositional encoding time : 0.000 0.59/180.07 # Propositional solver time : 0.000 0.59/180.07 # Success case prop preproc time : 0.000 0.59/180.07 # Success case prop encoding time : 0.000 0.59/180.07 # Success case prop solver time : 0.000 0.59/180.07 # Current number of processed clauses : 11 0.59/180.07 # Positive orientable unit clauses : 6 0.59/180.07 # Positive unorientable unit clauses: 0 0.59/180.07 # Negative unit clauses : 3 0.59/180.07 # Non-unit-clauses : 2 0.59/180.07 # Current number of unprocessed clauses: 143 0.59/180.07 # ...number of literals in the above : 541 0.59/180.07 # Current number of archived formulas : 0 0.59/180.07 # Current number of archived clauses : 155 0.59/180.07 # Clause-clause subsumption calls (NU) : 4096 0.59/180.07 # Rec. Clause-clause subsumption calls : 959 0.59/180.07 # Non-unit clause-clause subsumptions : 12 0.59/180.07 # Unit Clause-clause subsumption calls : 6 0.59/180.07 # Rewrite failures with RHS unbound : 0 0.59/180.07 # BW rewrite match attempts : 2 0.59/180.07 # BW rewrite match successes : 1 0.59/180.07 # Condensation attempts : 192 0.59/180.07 # Condensation successes : 3 0.59/180.07 # Termbank termtop insertions : 27714 0.59/180.07 # Search garbage collected termcells : 7601 0.59/180.07 0.59/180.07 # ------------------------------------------------- 0.59/180.07 # User time : 0.038 s 0.59/180.07 # System time : 0.007 s 0.59/180.07 # Total time : 0.045 s 0.59/180.07 # Maximum resident set size: 4296 pages 0.59/180.07 0.59/180.07 # ------------------------------------------------- 0.59/180.07 # User time : 0.043 s 0.59/180.07 # System time : 0.009 s 0.59/180.07 # Total time : 0.052 s 0.59/180.07 # Maximum resident set size: 1916 pages 0.59/180.07 % E---3.1 exiting 0.59/180.07 % E exiting 0.59/180.07 EOF