0.03/0.13 % Problem : Vampire---4.8_17298 : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : run_E %s %d THM 0.14/0.35 % Computer : n014.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 13:01:54 EDT 2023 0.14/0.35 % CPUTime : 0.20/0.49 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.ZGx4O3dcXR/Vampire---4.8_17298 0.20/0.49 # Version: 3.1pre001-ho 0.20/0.51 # Preprocessing class: HSMSSLSSMLLCHFA. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.51 # Starting new_ho_10 with 900s (5) cores 0.20/0.51 # Starting sh5l with 180s (1) cores 0.20/0.51 # Starting new_bool_1 with 180s (1) cores 0.20/0.51 # Starting new_bool_2 with 180s (1) cores 0.20/0.51 # new_bool_1 with pid 17478 completed with status 0 0.20/0.51 # Result found by new_bool_1 0.20/0.51 # Preprocessing class: HSMSSLSSMLLCHFA. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.51 # Starting new_ho_10 with 900s (5) cores 0.20/0.51 # Starting sh5l with 180s (1) cores 0.20/0.51 # Starting new_bool_1 with 180s (1) cores 0.20/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.20/0.51 # Search class: HGHSS-FFMS31-SHFSMSBN 0.20/0.51 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.20/0.51 # Starting new_ho_10 with 109s (1) cores 0.20/0.51 # new_ho_10 with pid 17480 completed with status 0 0.20/0.51 # Result found by new_ho_10 0.20/0.51 # Preprocessing class: HSMSSLSSMLLCHFA. 0.20/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.51 # Starting new_ho_10 with 900s (5) cores 0.20/0.51 # Starting sh5l with 180s (1) cores 0.20/0.51 # Starting new_bool_1 with 180s (1) cores 0.20/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.20/0.51 # Search class: HGHSS-FFMS31-SHFSMSBN 0.20/0.51 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.20/0.51 # Starting new_ho_10 with 109s (1) cores 0.20/0.51 # Preprocessing time : 0.003 s 0.20/0.51 # Presaturation interreduction done 0.20/0.51 0.20/0.51 # Proof found! 0.20/0.51 # SZS status Theorem 0.20/0.51 # SZS output start CNFRefutation 0.20/0.51 thf(decl_22, type, in: $i > $i > $o). 0.20/0.51 thf(decl_23, type, exu: ($i > $o) > $o). 0.20/0.51 thf(decl_24, type, setextAx: $o). 0.20/0.51 thf(decl_25, type, emptyset: $i). 0.20/0.51 thf(decl_26, type, emptysetAx: $o). 0.20/0.51 thf(decl_27, type, setadjoin: $i > $i > $i). 0.20/0.51 thf(decl_28, type, setadjoinAx: $o). 0.20/0.51 thf(decl_29, type, powerset: $i > $i). 0.20/0.51 thf(decl_30, type, powersetAx: $o). 0.20/0.51 thf(decl_32, type, setunionAx: $o). 0.20/0.51 thf(decl_33, type, omega: $i). 0.20/0.51 thf(decl_34, type, omega0Ax: $o). 0.20/0.51 thf(decl_35, type, omegaSAx: $o). 0.20/0.51 thf(decl_36, type, omegaIndAx: $o). 0.20/0.51 thf(decl_37, type, replAx: $o). 0.20/0.51 thf(decl_38, type, foundationAx: $o). 0.20/0.51 thf(decl_39, type, wellorderingAx: $o). 0.20/0.51 thf(decl_41, type, descrp: $o). 0.20/0.51 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.20/0.51 thf(decl_43, type, dsetconstrI: $o). 0.20/0.51 thf(decl_44, type, dsetconstrEL: $o). 0.20/0.51 thf(decl_45, type, dsetconstrER: $o). 0.20/0.51 thf(decl_46, type, exuE1: $o). 0.20/0.51 thf(decl_47, type, prop2set: $o > $i). 0.20/0.51 thf(decl_48, type, prop2setE: $o). 0.20/0.51 thf(decl_49, type, emptysetE: $o). 0.20/0.51 thf(decl_50, type, emptysetimpfalse: $o). 0.20/0.51 thf(decl_51, type, notinemptyset: $o). 0.20/0.51 thf(decl_52, type, exuE3e: $o). 0.20/0.51 thf(decl_53, type, setext: $o). 0.20/0.51 thf(decl_54, type, emptyI: $o). 0.20/0.51 thf(decl_55, type, noeltsimpempty: $o). 0.20/0.51 thf(decl_56, type, setbeta: $o). 0.20/0.51 thf(decl_57, type, nonempty: $i > $o). 0.20/0.51 thf(decl_58, type, nonemptyE1: $o). 0.20/0.51 thf(decl_59, type, nonemptyI: $o). 0.20/0.51 thf(decl_60, type, nonemptyI1: $o). 0.20/0.51 thf(decl_61, type, setadjoinIL: $o). 0.20/0.51 thf(decl_62, type, emptyinunitempty: $o). 0.20/0.51 thf(decl_63, type, setadjoinIR: $o). 0.20/0.51 thf(decl_64, type, setadjoinE: $o). 0.20/0.51 thf(decl_65, type, setadjoinOr: $o). 0.20/0.51 thf(decl_66, type, setoftrueEq: $o). 0.20/0.51 thf(decl_67, type, powersetI: $o). 0.20/0.51 thf(decl_68, type, epred1_0: $o). 0.20/0.52 thf(decl_69, type, esk1_2: $i > $i > $i). 0.20/0.52 thf(decl_70, type, esk2_2: $i > $i > $i). 0.20/0.52 thf(decl_71, type, esk3_1: $i > $i). 0.20/0.52 thf(decl_72, type, esk4_2: ($i > $i > $o) > $i > $i). 0.20/0.52 thf(decl_73, type, esk5_3: ($i > $i > $o) > $i > $i > $i). 0.20/0.52 thf(decl_74, type, esk6_2: ($i > $i > $o) > $i > $i). 0.20/0.52 thf(decl_75, type, esk7_3: ($i > $i > $o) > $i > $i > $i). 0.20/0.52 thf(decl_76, type, esk8_1: $i > $i). 0.20/0.52 thf(decl_77, type, esk9_2: ($i > $o) > $i > $i). 0.20/0.52 thf(decl_78, type, esk10_1: ($i > $o) > $i). 0.20/0.52 thf(decl_79, type, esk11_2: ($i > $o) > $i > $i). 0.20/0.52 thf(decl_80, type, esk12_1: ($i > $o) > $i). 0.20/0.52 thf(decl_81, type, esk13_2: $i > $i > $i). 0.20/0.52 thf(decl_82, type, esk14_2: $i > $i > $i). 0.20/0.52 thf(decl_83, type, esk15_1: $i > $i). 0.20/0.52 thf(decl_84, type, esk16_1: $i > $i). 0.20/0.52 thf(decl_85, type, esk17_1: $i > $i). 0.20/0.52 thf(decl_86, type, esk18_2: $i > $i > $i). 0.20/0.52 thf(decl_87, type, esk19_0: $i). 0.20/0.52 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', exuE3e)). 0.20/0.52 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', exu)). 0.20/0.52 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', exuE1)). 0.20/0.52 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', prop2set)). 0.20/0.52 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', replAx)). 0.20/0.52 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', nonemptyI)). 0.20/0.52 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', nonempty)). 0.20/0.52 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', dsetconstrEL)). 0.20/0.52 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', dsetconstrER)). 0.20/0.52 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', prop2setE)). 0.20/0.52 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', dsetconstrI)). 0.20/0.52 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', setbeta)). 0.20/0.52 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', setoftrueEq)). 0.20/0.52 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', nonemptyI1)). 0.20/0.52 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', nonemptyE1)). 0.20/0.52 thf(emptyinPowerset, conjecture, (((((powersetAx)=>((setunionAx)=>((((((foundationAx)=>(((descrp)=>(((dsetconstrEL)=>((((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>(((((((setbeta)=>(((nonemptyI)=>(((setadjoinIL)=>(((((setadjoinOr)=>((![X4:$i]:((in @ emptyset @ (powerset @ X4)))<=(powersetI))<=(setoftrueEq)))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty)))<=(nonemptyI1)))<=(nonemptyE1)))<=(noeltsimpempty))<=(emptyI))<=(setext))<=(exuE3e))<=(notinemptyset)))))<=(exuE1))<=(dsetconstrER)))<=(dsetconstrI)))<=(wellorderingAx)))<=(replAx))<=(omegaIndAx))<=(omegaSAx))<=(omega0Ax))))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', emptyinPowerset)). 0.20/0.52 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', setextAx)). 0.20/0.52 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', notinemptyset)). 0.20/0.52 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.ZGx4O3dcXR/Vampire---4.8_17298', wellorderingAx)). 0.20/0.52 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', emptysetE)). 0.20/0.52 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', omegaIndAx)). 0.20/0.52 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', omegaSAx)). 0.20/0.52 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', emptysetimpfalse)). 0.20/0.52 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', omega0Ax)). 0.20/0.52 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', setadjoinAx)). 0.20/0.52 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', emptysetAx)). 0.20/0.52 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', powersetAx)). 0.20/0.52 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', setadjoinIL)). 0.20/0.52 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', setadjoinOr)). 0.20/0.52 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.ZGx4O3dcXR/Vampire---4.8_17298', foundationAx)). 0.20/0.52 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', powersetI)). 0.20/0.52 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X13:$o]:(((((X3)=(X2))=>(X13))=>(((in @ X3 @ X4)=>(X13))=>(X13))))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', setadjoinE)). 0.20/0.52 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', setadjoinIR)). 0.20/0.52 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', emptyinunitempty)). 0.20/0.52 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', noeltsimpempty)). 0.20/0.52 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.ZGx4O3dcXR/Vampire---4.8_17298', emptyI)). 0.20/0.52 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.ZGx4O3dcXR/Vampire---4.8_17298', setext)). 0.20/0.52 thf(c_0_37, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.20/0.52 thf(c_0_38, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.20/0.52 thf(c_0_39, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.20/0.52 thf(c_0_40, plain, ((prop2set)=(^[Z0/* 42 */:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1/* 3 */:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])). 0.20/0.52 thf(c_0_41, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.20/0.52 thf(c_0_42, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.20/0.52 thf(c_0_43, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.20/0.52 thf(c_0_44, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X116:$i]:((((X1 @ X116))&![X117:$i]:((((X1 @ X117))=>((X116)=(X117)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_37, c_0_38])). 0.20/0.52 thf(c_0_45, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.20/0.52 thf(c_0_46, plain, ((exuE1)=(![X1:$i > $o]:(((?[X114:$i]:((((X1 @ X114))&![X115:$i]:((((X1 @ X115))=>((X114)=(X115)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_39, c_0_38])). 0.20/0.52 thf(c_0_47, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.20/0.52 thf(c_0_48, axiom, ((prop2setE)=(![X11:$o, X2:$i]:(((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0/* 3 */:$i]:(((X11))))))=>(X11))))), inference(apply_def,[status(thm)],[prop2setE, c_0_40])). 0.20/0.52 thf(c_0_49, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.20/0.52 thf(c_0_50, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X112:$i]:((((X6 @ X2 @ X112))&![X113:$i]:((((X6 @ X2 @ X113))=>((X112)=(X113)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_41, c_0_38])). 0.20/0.52 thf(c_0_51, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.20/0.52 thf(c_0_52, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_42, c_0_43])). 0.20/0.52 thf(c_0_53, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.20/0.52 thf(c_0_54, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_43])). 0.20/0.52 thf(c_0_55, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_43])). 0.20/0.52 thf(c_0_56, plain, ((epred1_0)<=>![X183:$i]:(?[X184:$i]:((((![X185:$i]:(((in @ X185 @ X184)=>![X186:$i]:(((in @ X186 @ X185)=>(in @ X186 @ X183)))))&![X187:$i, X188:$i]:((((in @ X187 @ X183)&(in @ X188 @ X183))=>(![X189:$i]:(((in @ X189 @ X184)=>((in @ X187 @ X189)<=>(in @ X188 @ X189))))=>((X187)=(X188))))))&![X190:$i, X191:$i]:((((in @ X190 @ X184)&(in @ X191 @ X184))=>(![X192:$i]:(((in @ X192 @ X190)=>(in @ X192 @ X191)))|![X193:$i]:(((in @ X193 @ X191)=>(in @ X193 @ X190)))))))&![X194:$i]:(((![X195:$i]:(((in @ X195 @ X194)=>(in @ X195 @ X183)))&?[X196:$i]:((in @ X196 @ X194)))=>?[X197:$i, X198:$i]:(((((in @ X197 @ X184)&(in @ X198 @ X194))&~(?[X199:$i]:(((in @ X199 @ X197)&(in @ X199 @ X194)))))&![X200:$i]:(((in @ X200 @ X184)=>(![X201:$i]:(((in @ X201 @ X200)=>(in @ X201 @ X197)))|(in @ X198 @ X200)))))))))))), introduced(definition)). 0.20/0.52 thf(c_0_57, negated_conjecture, ~((![X218:$i, X219:$i]:((![X220:$i]:(((in @ X220 @ X218)<=>(in @ X220 @ X219)))=>((X218)=(X219))))=>(![X217:$i]:(~(in @ X217 @ emptyset))=>(![X214:$i, X215:$i, X216:$i]:(((in @ X216 @ (setadjoin @ X214 @ X215))<=>(((X216)=(X214))|(in @ X216 @ X215))))=>(![X118:$i, X119:$i]:(((in @ X119 @ (powerset @ X118))<=>![X120:$i]:(((in @ X120 @ X119)=>(in @ X120 @ X118)))))=>((setunionAx)=>((in @ emptyset @ omega)=>(![X213:$i]:(((in @ X213 @ omega)=>(in @ (setadjoin @ X213 @ X213) @ omega)))=>(![X210:$i]:((((in @ emptyset @ X210)&![X211:$i]:((((in @ X211 @ omega)&(in @ X211 @ X210))=>(in @ (setadjoin @ X211 @ X211) @ X210))))=>![X212:$i]:(((in @ X212 @ omega)=>(in @ X212 @ X210)))))=>(![X202:$i > $i > $o, X203:$i]:((![X204:$i]:(((in @ X204 @ X203)=>?[X205:$i]:(((X202 @ X204 @ X205)&![X206:$i]:(((X202 @ X204 @ X206)=>((X205)=(X206))))))))=>?[X207:$i]:(![X208:$i]:(((in @ X208 @ X207)<=>?[X209:$i]:(((in @ X209 @ X203)&(X202 @ X209 @ X208))))))))=>(![X121:$i]:((?[X122:$i]:((in @ X122 @ X121))=>?[X123:$i]:(((in @ X123 @ X121)&~(?[X124:$i]:(((in @ X124 @ X123)&(in @ X124 @ X121))))))))=>((epred1_0)=>((descrp)=>(![X180:$i, X181:$i > $o, X182:$i]:(((in @ X182 @ X180)=>((X181 @ X182)=>(in @ X182 @ (dsetconstr @ X180 @ (^[Z0/* 3 */:$i]:((X181 @ Z0))))))))=>(![X125:$i, X126:$i > $o, X127:$i]:(((in @ X127 @ (dsetconstr @ X125 @ (^[Z0/* 3 */:$i]:((X126 @ Z0)))))=>(in @ X127 @ X125)))=>(![X177:$i, X178:$i > $o, X179:$i]:(((in @ X179 @ (dsetconstr @ X177 @ (^[Z0/* 3 */:$i]:((X178 @ Z0)))))=>(X178 @ X179)))=>(![X172:$i > $o]:((?[X173:$i]:(((X172 @ X173)&![X174:$i]:(((X172 @ X174)=>((X173)=(X174))))))=>?[X175:$i]:(((X172 @ X175)&![X176:$i]:(((X172 @ X176)=>((X175)=(X176))))))))=>(![X128:$o, X129:$i]:(((in @ X129 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0/* 3 */:$i]:((X128)))))=>(X128)))=>(![X130:$i]:(((in @ X130 @ emptyset)=>![X131:$o]:((X131))))=>(![X132:$i]:(~(in @ X132 @ emptyset))=>(![X171:$i]:(~(in @ X171 @ emptyset))=>(![X167:$i > $o]:((?[X168:$i]:(((X167 @ X168)&![X169:$i]:(((X167 @ X169)=>((X168)=(X169))))))=>?[X170:$i]:((X167 @ X170))))=>(![X163:$i, X164:$i]:((![X165:$i]:(((in @ X165 @ X163)=>(in @ X165 @ X164)))=>(![X166:$i]:(((in @ X166 @ X164)=>(in @ X166 @ X163)))=>((X163)=(X164)))))=>(![X161:$i]:((![X162:$i]:(~(in @ X162 @ X161))=>((X161)=(emptyset))))=>(![X159:$i]:((![X160:$i]:(~(in @ X160 @ X159))=>((X159)=(emptyset))))=>(![X133:$i, X134:$i > $o, X135:$i]:(((in @ X135 @ X133)=>((in @ X135 @ (dsetconstr @ X133 @ (^[Z0/* 3 */:$i]:((X134 @ Z0)))))<=>(X134 @ X135))))=>(![X157:$i]:((((X157)!=(emptyset))=>?[X158:$i]:((in @ X158 @ X157))))=>(![X136:$i, X137:$i > $o, X138:$i]:(((in @ X138 @ X136)=>((X137 @ X138)=>((dsetconstr @ X136 @ (^[Z0/* 3 */:$i]:((X137 @ Z0))))!=(emptyset)))))=>(![X155:$i]:((?[X156:$i]:((in @ X156 @ X155))=>((X155)!=(emptyset))))=>(![X139:$i, X140:$i]:((in @ X139 @ (setadjoin @ X139 @ X140)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X152:$i, X153:$i, X154:$i]:(((in @ X154 @ X153)=>(in @ X154 @ (setadjoin @ X152 @ X153))))=>(![X148:$i, X149:$i, X150:$i]:(((in @ X150 @ (setadjoin @ X148 @ X149))=>![X151:$o]:(((((X150)=(X148))=>(X151))=>(((in @ X150 @ X149)=>(X151))=>(X151))))))=>(![X141:$i, X142:$i, X143:$i]:(((in @ X143 @ (setadjoin @ X141 @ X142))=>(((X143)=(X141))|(in @ X143 @ X142))))=>(![X147:$i]:(((dsetconstr @ X147 @ (^[Z0/* 3 */:$i]:(($true))))=(X147)))=>(![X144:$i, X145:$i]:((![X146:$i]:(((in @ X146 @ X145)=>(in @ X146 @ X144)))=>(in @ X145 @ (powerset @ X144))))=>![X4:$i]:((in @ emptyset @ (powerset @ X4))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[emptyinPowerset]), setextAx]), c_0_44]), notinemptyset]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), wellorderingAx]), c_0_50]), emptysetE]), omegaIndAx]), omegaSAx]), emptysetimpfalse]), omega0Ax]), setadjoinAx]), emptysetAx]), c_0_51]), c_0_52]), powersetAx]), setadjoinIL]), setadjoinOr]), foundationAx]), powersetI]), c_0_53]), setadjoinE]), setadjoinIR]), emptyinunitempty]), c_0_54]), c_0_55]), noeltsimpempty]), emptyI]), setext])]), c_0_56])). 0.20/0.52 thf(c_0_58, negated_conjecture, ![X221:$i, X222:$i, X224:$i, X225:$i, X226:$i, X227:$i, X228:$i, X229:$i, X230:$i, X231:$i, X232:$i, X234:$i, X235:$i, X237:$i, X238:$i > $i > $o, X239:$i, X241:$i, X244:$i, X246:$i, X247:$i, X248:$i, X249:$i, X251:$i, X252:$i, X253:$i > $o, X254:$i, X255:$i, X256:$i > $o, X257:$i, X258:$i, X259:$i > $o, X260:$i, X261:$i > $o, X262:$i, X265:$i, X266:$o, X267:$i, X268:$i, X269:$o, X270:$i, X271:$i, X272:$i > $o, X273:$i, X276:$i, X277:$i, X280:$i, X282:$i, X284:$i, X285:$i > $o, X286:$i, X287:$i, X289:$i, X290:$i > $o, X291:$i, X292:$i, X293:$i, X294:$i, X295:$i, X296:$i, X297:$i, X298:$i, X299:$i, X300:$i, X301:$i, X302:$o, X303:$i, X304:$i, X305:$i, X306:$i, X307:$i, X308:$i]:((((~(in @ (esk1_2 @ X221 @ X222) @ X221)|~(in @ (esk1_2 @ X221 @ X222) @ X222)|((X221)=(X222)))&((in @ (esk1_2 @ X221 @ X222) @ X221)|(in @ (esk1_2 @ X221 @ X222) @ X222)|((X221)=(X222))))&(~(in @ X224 @ emptyset)&(((~(in @ X227 @ (setadjoin @ X225 @ X226))|(((X227)=(X225))|(in @ X227 @ X226)))&((((X227)!=(X225))|(in @ X227 @ (setadjoin @ X225 @ X226)))&(~(in @ X227 @ X226)|(in @ X227 @ (setadjoin @ X225 @ X226)))))&(((~(in @ X229 @ (powerset @ X228))|(~(in @ X230 @ X229)|(in @ X230 @ X228)))&(((in @ (esk2_2 @ X231 @ X232) @ X232)|(in @ X232 @ (powerset @ X231)))&(~(in @ (esk2_2 @ X231 @ X232) @ X231)|(in @ X232 @ (powerset @ X231)))))&((setunionAx)&((in @ emptyset @ omega)&((~(in @ X234 @ omega)|(in @ (setadjoin @ X234 @ X234) @ omega))&(((((in @ (esk3_1 @ X235) @ omega)|~(in @ emptyset @ X235)|(~(in @ X237 @ omega)|(in @ X237 @ X235)))&((in @ (esk3_1 @ X235) @ X235)|~(in @ emptyset @ X235)|(~(in @ X237 @ omega)|(in @ X237 @ X235))))&(~(in @ (setadjoin @ (esk3_1 @ X235) @ (esk3_1 @ X235)) @ X235)|~(in @ emptyset @ X235)|(~(in @ X237 @ omega)|(in @ X237 @ X235))))&((((((in @ (esk7_3 @ X238 @ X239 @ X244) @ X239)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|(in @ (esk4_2 @ X238 @ X239) @ X239))&((X238 @ (esk7_3 @ X238 @ X239 @ X244) @ X244)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|(in @ (esk4_2 @ X238 @ X239) @ X239)))&(~(in @ X247 @ X239)|~(X238 @ X247 @ X246)|(in @ X246 @ (esk6_2 @ X238 @ X239))|(in @ (esk4_2 @ X238 @ X239) @ X239)))&(((((in @ (esk7_3 @ X238 @ X239 @ X244) @ X239)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|((X238 @ (esk4_2 @ X238 @ X239) @ (esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241)))&((X238 @ (esk7_3 @ X238 @ X239 @ X244) @ X244)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|((X238 @ (esk4_2 @ X238 @ X239) @ (esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241))))&(~(in @ X247 @ X239)|~(X238 @ X247 @ X246)|(in @ X246 @ (esk6_2 @ X238 @ X239))|((X238 @ (esk4_2 @ X238 @ X239) @ (esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241))))&((((in @ (esk7_3 @ X238 @ X239 @ X244) @ X239)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|(((X241)!=(esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241)))&((X238 @ (esk7_3 @ X238 @ X239 @ X244) @ X244)|~(in @ X244 @ (esk6_2 @ X238 @ X239))|(((X241)!=(esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241))))&(~(in @ X247 @ X239)|~(X238 @ X247 @ X246)|(in @ X246 @ (esk6_2 @ X238 @ X239))|(((X241)!=(esk5_3 @ X238 @ X239 @ X241))|~(X238 @ (esk4_2 @ X238 @ X239) @ X241))))))&((((in @ (esk8_1 @ X248) @ X248)|~(in @ X249 @ X248))&(~(in @ X251 @ (esk8_1 @ X248))|~(in @ X251 @ X248)|~(in @ X249 @ X248)))&((epred1_0)&((descrp)&((~(in @ X254 @ X252)|(~(X253 @ X254)|(in @ X254 @ (dsetconstr @ X252 @ (^[Z0/* 3 */:$i]:((X253 @ Z0)))))))&((~(in @ X257 @ (dsetconstr @ X255 @ (^[Z0/* 3 */:$i]:((X256 @ Z0)))))|(in @ X257 @ X255))&((~(in @ X260 @ (dsetconstr @ X258 @ (^[Z0/* 3 */:$i]:((X259 @ Z0)))))|(X259 @ X260))&(((((X261 @ (esk10_1 @ X261))|((X261 @ (esk9_2 @ X261 @ X262))|~(X261 @ X262)))&(~(X261 @ X265)|((esk10_1 @ X261)=(X265))|((X261 @ (esk9_2 @ X261 @ X262))|~(X261 @ X262))))&(((X261 @ (esk10_1 @ X261))|(((X262)!=(esk9_2 @ X261 @ X262))|~(X261 @ X262)))&(~(X261 @ X265)|((esk10_1 @ X261)=(X265))|(((X262)!=(esk9_2 @ X261 @ X262))|~(X261 @ X262)))))&((~(in @ X267 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0/* 3 */:$i]:((X266)))))|(X266))&((~(in @ X268 @ emptyset)|(X269))&(~(in @ X270 @ emptyset)&(~(in @ X271 @ emptyset)&((((X272 @ (esk11_2 @ X272 @ X273))|~(X272 @ X273)|(X272 @ (esk12_1 @ X272)))&(((X273)!=(esk11_2 @ X272 @ X273))|~(X272 @ X273)|(X272 @ (esk12_1 @ X272))))&(((((in @ (esk14_2 @ X276 @ X277) @ X277)|((X276)=(X277))|(in @ (esk13_2 @ X276 @ X277) @ X276))&(~(in @ (esk14_2 @ X276 @ X277) @ X276)|((X276)=(X277))|(in @ (esk13_2 @ X276 @ X277) @ X276)))&(((in @ (esk14_2 @ X276 @ X277) @ X277)|((X276)=(X277))|~(in @ (esk13_2 @ X276 @ X277) @ X277))&(~(in @ (esk14_2 @ X276 @ X277) @ X276)|((X276)=(X277))|~(in @ (esk13_2 @ X276 @ X277) @ X277))))&(((in @ (esk15_1 @ X280) @ X280)|((X280)=(emptyset)))&(((in @ (esk16_1 @ X282) @ X282)|((X282)=(emptyset)))&(((~(in @ X286 @ (dsetconstr @ X284 @ (^[Z0/* 3 */:$i]:((X285 @ Z0)))))|(X285 @ X286)|~(in @ X286 @ X284))&(~(X285 @ X286)|(in @ X286 @ (dsetconstr @ X284 @ (^[Z0/* 3 */:$i]:((X285 @ Z0)))))|~(in @ X286 @ X284)))&((((X287)=(emptyset))|(in @ (esk17_1 @ X287) @ X287))&((~(in @ X291 @ X289)|(~(X290 @ X291)|((dsetconstr @ X289 @ (^[Z0/* 3 */:$i]:((X290 @ Z0))))!=(emptyset))))&((~(in @ X293 @ X292)|((X292)!=(emptyset)))&((in @ X294 @ (setadjoin @ X294 @ X295))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X298 @ X297)|(in @ X298 @ (setadjoin @ X296 @ X297)))&(((((in @ X301 @ X300)|(X302)|((X301)=(X299))|~(in @ X301 @ (setadjoin @ X299 @ X300)))&(~(X302)|(X302)|((X301)=(X299))|~(in @ X301 @ (setadjoin @ X299 @ X300))))&(((in @ X301 @ X300)|(X302)|~(X302)|~(in @ X301 @ (setadjoin @ X299 @ X300)))&(~(X302)|(X302)|~(X302)|~(in @ X301 @ (setadjoin @ X299 @ X300)))))&((~(in @ X305 @ (setadjoin @ X303 @ X304))|(((X305)=(X303))|(in @ X305 @ X304)))&(((dsetconstr @ X306 @ (^[Z0/* 3 */:$i]:(($true))))=(X306))&((((in @ (esk18_2 @ X307 @ X308) @ X308)|(in @ X308 @ (powerset @ X307)))&(~(in @ (esk18_2 @ X307 @ X308) @ X307)|(in @ X308 @ (powerset @ X307))))&~(in @ emptyset @ (powerset @ esk19_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_57])])])])])])). 0.20/0.52 thf(c_0_59, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_58])). 0.20/0.52 thf(c_0_60, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk2_2 @ X2 @ X3) @ X3)|(in @ X3 @ (powerset @ X2)))), inference(split_conjunct,[status(thm)],[c_0_58])). 0.20/0.52 thf(c_0_61, negated_conjecture, ~((in @ emptyset @ (powerset @ esk19_0))), inference(split_conjunct,[status(thm)],[c_0_58])). 0.20/0.52 thf(c_0_62, negated_conjecture, ![X2:$i]:((in @ emptyset @ (powerset @ X2))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 0.20/0.52 thf(c_0_63, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])]), ['proof']). 0.20/0.52 # SZS output end CNFRefutation 0.20/0.52 # Parsed axioms : 85 0.20/0.52 # Removed by relevancy pruning/SinE : 48 0.20/0.52 # Initial clauses : 77 0.20/0.52 # Removed in clause preprocessing : 3 0.20/0.52 # Initial clauses in saturation : 74 0.20/0.52 # Processed clauses : 106 0.20/0.52 # ...of these trivial : 0 0.20/0.52 # ...subsumed : 11 0.20/0.52 # ...remaining for further processing : 95 0.20/0.52 # Other redundant clauses eliminated : 3 0.20/0.52 # Clauses deleted for lack of memory : 0 0.20/0.52 # Backward-subsumed : 0 0.20/0.52 # Backward-rewritten : 3 0.20/0.52 # Generated clauses : 43 0.20/0.52 # ...of the previous two non-redundant : 39 0.20/0.52 # ...aggressively subsumed : 0 0.20/0.52 # Contextual simplify-reflections : 0 0.20/0.52 # Paramodulations : 40 0.20/0.52 # Factorizations : 0 0.20/0.52 # NegExts : 0 0.20/0.52 # Equation resolutions : 3 0.20/0.52 # Total rewrite steps : 18 0.20/0.52 # Propositional unsat checks : 0 0.20/0.52 # Propositional check models : 0 0.20/0.52 # Propositional check unsatisfiable : 0 0.20/0.52 # Propositional clauses : 0 0.20/0.52 # Propositional clauses after purity: 0 0.20/0.52 # Propositional unsat core size : 0 0.20/0.52 # Propositional preprocessing time : 0.000 0.20/0.52 # Propositional encoding time : 0.000 0.20/0.52 # Propositional solver time : 0.000 0.20/0.52 # Success case prop preproc time : 0.000 0.20/0.52 # Success case prop encoding time : 0.000 0.20/0.52 # Success case prop solver time : 0.000 0.20/0.52 # Current number of processed clauses : 27 0.20/0.52 # Positive orientable unit clauses : 9 0.20/0.52 # Positive unorientable unit clauses: 0 0.20/0.52 # Negative unit clauses : 1 0.20/0.52 # Non-unit-clauses : 17 0.20/0.52 # Current number of unprocessed clauses: 68 0.20/0.52 # ...number of literals in the above : 197 0.20/0.52 # Current number of archived formulas : 0 0.20/0.52 # Current number of archived clauses : 66 0.20/0.52 # Clause-clause subsumption calls (NU) : 1028 0.20/0.52 # Rec. Clause-clause subsumption calls : 414 0.20/0.52 # Non-unit clause-clause subsumptions : 8 0.20/0.52 # Unit Clause-clause subsumption calls : 11 0.20/0.52 # Rewrite failures with RHS unbound : 0 0.20/0.52 # BW rewrite match attempts : 3 0.20/0.52 # BW rewrite match successes : 3 0.20/0.52 # Condensation attempts : 106 0.20/0.52 # Condensation successes : 3 0.20/0.52 # Termbank termtop insertions : 10365 0.20/0.52 0.20/0.52 # ------------------------------------------------- 0.20/0.52 # User time : 0.016 s 0.20/0.52 # System time : 0.006 s 0.20/0.52 # Total time : 0.021 s 0.20/0.52 # Maximum resident set size: 2756 pages 0.20/0.52 0.20/0.52 # ------------------------------------------------- 0.20/0.52 # User time : 0.018 s 0.20/0.52 # System time : 0.008 s 0.20/0.52 # Total time : 0.026 s 0.20/0.52 # Maximum resident set size: 1816 pages 0.20/0.52 % E---3.1 exiting 0.20/0.52 EOF