0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_E %s %d THM 0.13/0.35 % Computer : n011.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 04:42:21 EDT 2022 0.13/0.35 % CPUTime : 0.21/0.49 Running higher-order on 8 cores theorem proving 0.21/0.49 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=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.21/0.49 # Version: 3.0pre003-ho 0.21/0.53 # Preprocessing class: HSMSSLSSLLLCHSA. 0.21/0.53 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.21/0.53 # Starting new_ho_9 with 600s (5) cores 0.21/0.53 # Starting post_as_ho9 with 120s (1) cores 0.21/0.53 # Starting sh2lt with 120s (1) cores 0.21/0.53 # Starting full_lambda_10 with 120s (1) cores 0.21/0.53 # post_as_ho9 with pid 6147 completed with status 0 0.21/0.53 # Result found by post_as_ho9 0.21/0.53 # Preprocessing class: HSMSSLSSLLLCHSA. 0.21/0.53 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.21/0.53 # Starting new_ho_9 with 600s (5) cores 0.21/0.53 # Starting post_as_ho9 with 120s (1) cores 0.21/0.53 # SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true) 0.21/0.53 # ...ProofStateSinE()=65/139 0.21/0.53 # Search class: HGHSM-FFMS31-SHSMMSBN 0.21/0.53 # partial match(1): HGHSM-FFMS31-SHSSMSBN 0.21/0.53 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.21/0.53 # Starting new_ho_10 with 65s (1) cores 0.21/0.53 # new_ho_10 with pid 6150 completed with status 0 0.21/0.53 # Result found by new_ho_10 0.21/0.53 # Preprocessing class: HSMSSLSSLLLCHSA. 0.21/0.53 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.21/0.53 # Starting new_ho_9 with 600s (5) cores 0.21/0.53 # Starting post_as_ho9 with 120s (1) cores 0.21/0.53 # SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true) 0.21/0.53 # ...ProofStateSinE()=65/139 0.21/0.53 # Search class: HGHSM-FFMS31-SHSMMSBN 0.21/0.53 # partial match(1): HGHSM-FFMS31-SHSSMSBN 0.21/0.53 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.21/0.53 # Starting new_ho_10 with 65s (1) cores 0.21/0.53 # Preprocessing time : 0.004 s 0.21/0.53 # Presaturation interreduction done 0.21/0.53 0.21/0.53 # Proof found! 0.21/0.53 # SZS status Theorem 0.21/0.53 # SZS output start CNFRefutation 0.21/0.53 thf(decl_22, type, in: $i > $i > $o). 0.21/0.53 thf(decl_23, type, exu: ($i > $o) > $o). 0.21/0.53 thf(decl_24, type, setextAx: $o). 0.21/0.53 thf(decl_25, type, emptyset: $i). 0.21/0.53 thf(decl_26, type, emptysetAx: $o). 0.21/0.53 thf(decl_27, type, setadjoin: $i > $i > $i). 0.21/0.53 thf(decl_28, type, setadjoinAx: $o). 0.21/0.53 thf(decl_29, type, powerset: $i > $i). 0.21/0.53 thf(decl_30, type, powersetAx: $o). 0.21/0.53 thf(decl_31, type, setunion: $i > $i). 0.21/0.53 thf(decl_32, type, setunionAx: $o). 0.21/0.53 thf(decl_33, type, omega: $i). 0.21/0.53 thf(decl_34, type, omega0Ax: $o). 0.21/0.53 thf(decl_35, type, omegaSAx: $o). 0.21/0.53 thf(decl_36, type, omegaIndAx: $o). 0.21/0.53 thf(decl_37, type, replAx: $o). 0.21/0.53 thf(decl_38, type, foundationAx: $o). 0.21/0.53 thf(decl_39, type, wellorderingAx: $o). 0.21/0.53 thf(decl_40, type, descr: ($i > $o) > $i). 0.21/0.53 thf(decl_41, type, descrp: $o). 0.21/0.53 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.21/0.53 thf(decl_43, type, dsetconstrI: $o). 0.21/0.53 thf(decl_44, type, dsetconstrEL: $o). 0.21/0.53 thf(decl_45, type, dsetconstrER: $o). 0.21/0.53 thf(decl_46, type, exuE1: $o). 0.21/0.53 thf(decl_47, type, prop2set: $o > $i). 0.21/0.53 thf(decl_48, type, prop2setE: $o). 0.21/0.53 thf(decl_49, type, emptysetE: $o). 0.21/0.53 thf(decl_50, type, emptysetimpfalse: $o). 0.21/0.53 thf(decl_51, type, notinemptyset: $o). 0.21/0.53 thf(decl_52, type, exuE3e: $o). 0.21/0.53 thf(decl_53, type, setext: $o). 0.21/0.53 thf(decl_54, type, emptyI: $o). 0.21/0.53 thf(decl_55, type, noeltsimpempty: $o). 0.21/0.53 thf(decl_56, type, setbeta: $o). 0.21/0.53 thf(decl_57, type, nonempty: $i > $o). 0.21/0.53 thf(decl_58, type, nonemptyE1: $o). 0.21/0.53 thf(decl_59, type, nonemptyI: $o). 0.21/0.53 thf(decl_60, type, nonemptyI1: $o). 0.21/0.53 thf(decl_61, type, setadjoinIL: $o). 0.21/0.53 thf(decl_62, type, emptyinunitempty: $o). 0.21/0.53 thf(decl_63, type, setadjoinIR: $o). 0.21/0.53 thf(decl_64, type, setadjoinE: $o). 0.21/0.53 thf(decl_65, type, setadjoinOr: $o). 0.21/0.53 thf(decl_66, type, setoftrueEq: $o). 0.21/0.53 thf(decl_67, type, powersetI: $o). 0.21/0.53 thf(decl_68, type, emptyinPowerset: $o). 0.21/0.53 thf(decl_69, type, emptyInPowerset: $o). 0.21/0.53 thf(decl_70, type, powersetE: $o). 0.21/0.53 thf(decl_71, type, setunionI: $o). 0.21/0.53 thf(decl_72, type, setunionE: $o). 0.21/0.53 thf(decl_73, type, subPowSU: $o). 0.21/0.53 thf(decl_74, type, exuE2: $o). 0.21/0.53 thf(decl_75, type, nonemptyImpWitness: $o). 0.21/0.53 thf(decl_76, type, uniqinunit: $o). 0.21/0.53 thf(decl_77, type, notinsingleton: $o). 0.21/0.53 thf(decl_78, type, eqinunit: $o). 0.21/0.53 thf(decl_79, type, singletonsswitch: $o). 0.21/0.53 thf(decl_80, type, upairsetE: $o). 0.21/0.53 thf(decl_81, type, upairsetIL: $o). 0.21/0.53 thf(decl_82, type, upairsetIR: $o). 0.21/0.53 thf(decl_83, type, emptyE1: $o). 0.21/0.53 thf(decl_84, type, vacuousDall: $o). 0.21/0.53 thf(decl_85, type, quantDeMorgan1: $o). 0.21/0.53 thf(decl_86, type, quantDeMorgan2: $o). 0.21/0.53 thf(decl_87, type, quantDeMorgan3: $o). 0.21/0.53 thf(decl_88, type, quantDeMorgan4: $o). 0.21/0.53 thf(decl_89, type, prop2setI: $o). 0.21/0.53 thf(decl_90, type, set2prop: $i > $o). 0.21/0.53 thf(decl_91, type, prop2set2propI: $o). 0.21/0.53 thf(decl_92, type, notdexE: $o). 0.21/0.53 thf(decl_93, type, notdallE: $o). 0.21/0.53 thf(decl_94, type, exuI1: $o). 0.21/0.53 thf(decl_95, type, exuI3: $o). 0.21/0.53 thf(decl_96, type, epred1_0: $o). 0.21/0.53 thf(decl_97, type, esk1_2: $i > $i > $i). 0.21/0.53 thf(decl_98, type, esk2_2: $i > $i > $i). 0.21/0.53 thf(decl_99, type, esk3_2: $i > $i > $i). 0.21/0.53 thf(decl_100, type, esk4_1: $i > $i). 0.21/0.53 thf(decl_101, type, esk5_2: ($i > $i > $o) > $i > $i). 0.21/0.53 thf(decl_102, type, esk6_3: ($i > $i > $o) > $i > $i > $i). 0.21/0.53 thf(decl_103, type, esk7_2: ($i > $i > $o) > $i > $i). 0.21/0.53 thf(decl_104, type, esk8_3: ($i > $i > $o) > $i > $i > $i). 0.21/0.53 thf(decl_105, type, esk9_1: $i > $i). 0.21/0.53 thf(decl_106, type, esk10_2: ($i > $o) > $i > $i). 0.21/0.53 thf(decl_107, type, esk11_2: ($i > $o) > $i > $i). 0.21/0.53 thf(decl_108, type, esk12_1: ($i > $o) > $i). 0.21/0.53 thf(decl_109, type, esk13_2: ($i > $o) > $i > $i). 0.21/0.53 thf(decl_110, type, esk14_1: ($i > $o) > $i). 0.21/0.53 thf(decl_111, type, esk15_2: $i > $i > $i). 0.21/0.53 thf(decl_112, type, esk16_2: $i > $i > $i). 0.21/0.53 thf(decl_113, type, esk17_1: $i > $i). 0.21/0.53 thf(decl_114, type, esk18_1: $i > $i). 0.21/0.53 thf(decl_115, type, esk19_1: $i > $i). 0.21/0.53 thf(decl_116, type, esk20_2: $i > $i > $i). 0.21/0.53 thf(decl_117, type, esk21_3: $i > $i > $o > $i). 0.21/0.53 thf(decl_118, type, esk22_2: ($i > $o) > $i > $i). 0.21/0.53 thf(decl_119, type, esk23_1: ($i > $o) > $i). 0.21/0.53 thf(decl_120, type, esk24_1: $i > $i). 0.21/0.53 thf(decl_121, type, esk25_2: $i > ($i > $o) > $i). 0.21/0.53 thf(decl_122, type, esk26_2: $i > ($i > $o) > $i). 0.21/0.53 thf(decl_123, type, esk27_2: $i > ($i > $o) > $i). 0.21/0.53 thf(decl_124, type, esk28_2: $i > ($i > $o) > $i). 0.21/0.53 thf(decl_125, type, esk29_2: $i > ($i > $o) > $i). 0.21/0.53 thf(decl_126, type, esk30_2: $i > ($i > $o) > $i). 0.21/0.53 thf(decl_127, type, esk31_2: ($i > $o) > $i > $i). 0.21/0.53 thf(decl_128, type, esk32_1: ($i > $o) > $i). 0.21/0.53 thf(decl_129, type, esk33_1: ($i > $o) > $i). 0.21/0.53 thf(decl_130, type, esk34_1: ($i > $o) > $i). 0.21/0.53 thf(decl_131, type, esk35_1: ($i > $o) > $i). 0.21/0.53 thf(decl_132, type, epred2_0: $i > $o). 0.21/0.53 thf(decl_133, type, esk36_0: $i). 0.21/0.53 thf(decl_134, type, esk37_1: $i > $i). 0.21/0.53 thf(decl_135, type, esk38_1: $i > $i). 0.21/0.53 thf(decl_136, type, esk39_3: $i > $i > $i > $i). 0.21/0.53 thf(decl_137, type, esk40_2: $i > $i > $i). 0.21/0.53 thf(decl_138, type, esk41_2: $i > $i > $i). 0.21/0.53 thf(decl_139, type, esk42_2: $i > $i > $i). 0.21/0.53 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonempty)). 0.21/0.53 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE2)). 0.21/0.53 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu)). 0.21/0.53 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI3)). 0.21/0.53 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI1)). 0.21/0.53 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI)). 0.21/0.53 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3e)). 0.21/0.53 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE1)). 0.21/0.53 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descrp)). 0.21/0.53 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', replAx)). 0.21/0.53 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI1)). 0.21/0.53 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrER)). 0.21/0.53 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyImpWitness)). 0.21/0.53 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/benchmark/theBenchmark.p', emptyE1)). 0.21/0.53 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setoftrueEq)). 0.21/0.53 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyE1)). 0.21/0.53 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setbeta)). 0.21/0.53 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrEL)). 0.21/0.53 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrI)). 0.21/0.53 thf(exuI2, conjecture, ((setextAx)=>(((setadjoinAx)=>(((setunionAx)=>((omega0Ax)=>(((omegaIndAx)=>((replAx)=>((foundationAx)=>(((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>(((exuE1)=>((((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>(((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((((emptyinunitempty)=>(((setadjoinE)=>((((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>(((eqinunit)=>(((upairsetE)=>(((upairsetIR)=>((emptyE1)=>(((quantDeMorgan1)=>((quantDeMorgan2)=>(((((prop2set2propI)=>((notdexE)=>(((![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:((((X3)=(X2))<=>(X1 @ X3))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))<=(exuI3))<=(exuI1))<=(notdallE))))<=(prop2setI))<=(quantDeMorgan4))<=(quantDeMorgan3))))<=(vacuousDall))))<=(upairsetIL)))<=(singletonsswitch)))<=(notinsingleton)))))))<=(setunionI))<=(powersetE)))))<=(setoftrueEq))<=(setadjoinOr)))<=(setadjoinIR)))<=(setadjoinIL))<=(nonemptyI1)))))<=(noeltsimpempty)))))))<=(emptysetE))<=(prop2setE)))<=(dsetconstrER)))))<=(wellorderingAx)))))<=(omegaSAx))))<=(powersetAx)))<=(emptysetAx))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI2)). 0.21/0.53 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIR)). 0.21/0.53 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetAx)). 0.21/0.53 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIR)). 0.21/0.53 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinPowerset)). 0.21/0.53 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIL)). 0.21/0.53 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', noeltsimpempty)). 0.21/0.53 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyInPowerset)). 0.21/0.53 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetE)). 0.21/0.53 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setE)). 0.21/0.53 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/benchmark/theBenchmark.p', setunionE)). 0.21/0.53 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wellorderingAx)). 0.21/0.53 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subPowSU)). 0.21/0.53 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSAx)). 0.21/0.53 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetAx)). 0.21/0.53 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', uniqinunit)). 0.21/0.53 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqinunit)). 0.21/0.53 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetE)). 0.21/0.53 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan1)). 0.21/0.53 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan2)). 0.21/0.53 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2set2propI)). 0.21/0.53 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdexE)). 0.21/0.53 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdallE)). 0.21/0.53 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setI)). 0.21/0.53 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan4)). 0.21/0.53 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan3)). 0.21/0.53 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', vacuousDall)). 0.21/0.53 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIL)). 0.21/0.53 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsswitch)). 0.21/0.53 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinsingleton)). 0.21/0.53 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionI)). 0.21/0.53 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE)). 0.21/0.53 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinOr)). 0.21/0.53 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI)). 0.21/0.53 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/benchmark/theBenchmark.p', setadjoinE)). 0.21/0.53 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinunitempty)). 0.21/0.53 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyI)). 0.21/0.53 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/benchmark/theBenchmark.p', setext)). 0.21/0.53 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinemptyset)). 0.21/0.53 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetimpfalse)). 0.21/0.53 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', foundationAx)). 0.21/0.53 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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/benchmark/theBenchmark.p', omegaIndAx)). 0.21/0.53 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega0Ax)). 0.21/0.53 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionAx)). 0.21/0.53 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinAx)). 0.21/0.53 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextAx)). 0.21/0.53 thf(c_0_65, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 0.21/0.53 thf(c_0_66, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])). 0.21/0.53 thf(c_0_67, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.21/0.53 thf(c_0_68, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])). 0.21/0.53 thf(c_0_69, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])). 0.21/0.53 thf(c_0_70, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 0.21/0.53 thf(c_0_71, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])). 0.21/0.53 thf(c_0_72, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.21/0.53 thf(c_0_73, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])). 0.21/0.53 thf(c_0_74, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.21/0.53 thf(c_0_75, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_65])). 0.21/0.53 thf(c_0_76, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.21/0.53 thf(c_0_77, plain, ((exuE2)=(![X1:$i > $o]:(((?[X201:$i]:((((X1 @ X201))&![X202:$i]:((((X1 @ X202))=>((X201)=(X202)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_66, c_0_67])). 0.21/0.53 thf(c_0_78, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_65])). 0.21/0.53 thf(c_0_79, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])). 0.21/0.53 thf(c_0_80, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X205:$i]:((((X1 @ X205))&![X206:$i]:((((X1 @ X206))=>((X205)=(X206)))))))))))), inference(apply_def,[status(thm)],[c_0_68, c_0_67])). 0.21/0.53 thf(c_0_81, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X203:$i]:((((X1 @ X203))&![X204:$i]:((((X1 @ X204))=>((X203)=(X204))))))))))), inference(apply_def,[status(thm)],[c_0_69, c_0_67])). 0.21/0.53 thf(c_0_82, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])). 0.21/0.53 thf(c_0_83, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_70, c_0_65])). 0.21/0.53 thf(c_0_84, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_65])). 0.21/0.53 thf(c_0_85, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])). 0.21/0.53 thf(c_0_86, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X199:$i]:((((X1 @ X199))&![X200:$i]:((((X1 @ X200))=>((X199)=(X200)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_71, c_0_67])). 0.21/0.53 thf(c_0_87, plain, ((exuE1)=(![X1:$i > $o]:(((?[X197:$i]:((((X1 @ X197))&![X198:$i]:((((X1 @ X198))=>((X197)=(X198)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_72, c_0_67])). 0.21/0.53 thf(c_0_88, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.21/0.53 thf(c_0_89, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.21/0.53 thf(c_0_90, plain, ((descrp)=(![X1:$i > $o]:(((?[X195:$i]:((((X1 @ X195))&![X196:$i]:((((X1 @ X196))=>((X195)=(X196)))))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_73, c_0_67])). 0.21/0.53 thf(c_0_91, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X193:$i]:((((X6 @ X2 @ X193))&![X194:$i]:((((X6 @ X2 @ X194))=>((X193)=(X194)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_74, c_0_67])). 0.21/0.53 thf(c_0_92, plain, ((epred1_0)<=>![X372:$i]:(?[X373:$i]:((((![X374:$i]:(((in @ X374 @ X373)=>![X375:$i]:(((in @ X375 @ X374)=>(in @ X375 @ X372)))))&![X376:$i, X377:$i]:((((in @ X376 @ X372)&(in @ X377 @ X372))=>(![X378:$i]:(((in @ X378 @ X373)=>((in @ X376 @ X378)<=>(in @ X377 @ X378))))=>((X376)=(X377))))))&![X379:$i, X380:$i]:((((in @ X379 @ X373)&(in @ X380 @ X373))=>(![X381:$i]:(((in @ X381 @ X379)=>(in @ X381 @ X380)))|![X382:$i]:(((in @ X382 @ X380)=>(in @ X382 @ X379)))))))&![X383:$i]:(((![X384:$i]:(((in @ X384 @ X383)=>(in @ X384 @ X372)))&?[X385:$i]:((in @ X385 @ X383)))=>?[X386:$i, X387:$i]:(((((in @ X386 @ X373)&(in @ X387 @ X383))&~(?[X388:$i]:(((in @ X388 @ X386)&(in @ X388 @ X383)))))&![X389:$i]:(((in @ X389 @ X373)=>(![X390:$i]:(((in @ X390 @ X389)=>(in @ X390 @ X386)))|(in @ X387 @ X389)))))))))))), introduced(definition)). 0.21/0.53 thf(c_0_93, negated_conjecture, ~((![X207:$i, X208:$i]:((![X209:$i]:(((in @ X209 @ X207)<=>(in @ X209 @ X208)))=>((X207)=(X208))))=>(![X395:$i]:(~(in @ X395 @ emptyset))=>(![X210:$i, X211:$i, X212:$i]:(((in @ X212 @ (setadjoin @ X210 @ X211))<=>(((X212)=(X210))|(in @ X212 @ X211))))=>(![X392:$i, X393:$i]:(((in @ X393 @ (powerset @ X392))<=>![X394:$i]:(((in @ X394 @ X393)=>(in @ X394 @ X392)))))=>(![X213:$i, X214:$i]:(((in @ X214 @ (setunion @ X213))<=>?[X215:$i]:(((in @ X214 @ X215)&(in @ X215 @ X213)))))=>((in @ emptyset @ omega)=>(![X391:$i]:(((in @ X391 @ omega)=>(in @ (setadjoin @ X391 @ X391) @ omega)))=>(![X216:$i]:((((in @ emptyset @ X216)&![X217:$i]:((((in @ X217 @ omega)&(in @ X217 @ X216))=>(in @ (setadjoin @ X217 @ X217) @ X216))))=>![X218:$i]:(((in @ X218 @ omega)=>(in @ X218 @ X216)))))=>(![X219:$i > $i > $o, X220:$i]:((![X221:$i]:(((in @ X221 @ X220)=>?[X222:$i]:(((X219 @ X221 @ X222)&![X223:$i]:(((X219 @ X221 @ X223)=>((X222)=(X223))))))))=>?[X224:$i]:(![X225:$i]:(((in @ X225 @ X224)<=>?[X226:$i]:(((in @ X226 @ X220)&(X219 @ X226 @ X225))))))))=>(![X227:$i]:((?[X228:$i]:((in @ X228 @ X227))=>?[X229:$i]:(((in @ X229 @ X227)&~(?[X230:$i]:(((in @ X230 @ X229)&(in @ X230 @ X227))))))))=>((epred1_0)=>(![X231:$i > $o]:((?[X232:$i]:(((X231 @ X232)&![X233:$i]:(((X231 @ X233)=>((X232)=(X233))))))=>(X231 @ (descr @ (^[Z0:$i]:((X231 @ Z0)))))))=>(![X234:$i, X235:$i > $o, X236:$i]:(((in @ X236 @ X234)=>((X235 @ X236)=>(in @ X236 @ (dsetconstr @ X234 @ (^[Z0:$i]:((X235 @ Z0))))))))=>(![X237:$i, X238:$i > $o, X239:$i]:(((in @ X239 @ (dsetconstr @ X237 @ (^[Z0:$i]:((X238 @ Z0)))))=>(in @ X239 @ X237)))=>(![X369:$i, X370:$i > $o, X371:$i]:(((in @ X371 @ (dsetconstr @ X369 @ (^[Z0:$i]:((X370 @ Z0)))))=>(X370 @ X371)))=>(![X240:$i > $o]:((?[X241:$i]:(((X240 @ X241)&![X242:$i]:(((X240 @ X242)=>((X241)=(X242))))))=>?[X243:$i]:(((X240 @ X243)&![X244:$i]:(((X240 @ X244)=>((X243)=(X244))))))))=>(![X367:$o, X368:$i]:(((in @ X368 @ (prop2set @ ((X367))))=>(X367)))=>(![X365:$i]:(((in @ X365 @ emptyset)=>![X366:$o]:((X366))))=>(![X245:$i]:(~(in @ X245 @ emptyset))=>(![X246:$i]:(~(in @ X246 @ emptyset))=>(![X247:$i > $o]:((?[X248:$i]:(((X247 @ X248)&![X249:$i]:(((X247 @ X249)=>((X248)=(X249))))))=>?[X250:$i]:((X247 @ X250))))=>(![X251:$i, X252:$i]:((![X253:$i]:(((in @ X253 @ X251)=>(in @ X253 @ X252)))=>(![X254:$i]:(((in @ X254 @ X252)=>(in @ X254 @ X251)))=>((X251)=(X252)))))=>(![X255:$i]:((![X256:$i]:(~(in @ X256 @ X255))=>((X255)=(emptyset))))=>(![X363:$i]:((![X364:$i]:(~(in @ X364 @ X363))=>((X363)=(emptyset))))=>(![X257:$i, X258:$i > $o, X259:$i]:(((in @ X259 @ X257)=>((in @ X259 @ (dsetconstr @ X257 @ (^[Z0:$i]:((X258 @ Z0)))))<=>(X258 @ X259))))=>(![X260:$i]:((((X260)!=(emptyset))=>?[X261:$i]:((in @ X261 @ X260))))=>(![X262:$i, X263:$i > $o, X264:$i]:(((in @ X264 @ X262)=>((X263 @ X264)=>((dsetconstr @ X262 @ (^[Z0:$i]:((X263 @ Z0))))!=(emptyset)))))=>(![X361:$i]:((?[X362:$i]:((in @ X362 @ X361))=>((X361)!=(emptyset))))=>(![X359:$i, X360:$i]:((in @ X359 @ (setadjoin @ X359 @ X360)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X356:$i, X357:$i, X358:$i]:(((in @ X358 @ X357)=>(in @ X358 @ (setadjoin @ X356 @ X357))))=>(![X265:$i, X266:$i, X267:$i]:(((in @ X267 @ (setadjoin @ X265 @ X266))=>![X268:$o]:(((((X267)=(X265))=>(X268))=>(((in @ X267 @ X266)=>(X268))=>(X268))))))=>(![X353:$i, X354:$i, X355:$i]:(((in @ X355 @ (setadjoin @ X353 @ X354))=>(((X355)=(X353))|(in @ X355 @ X354))))=>(![X352:$i]:(((dsetconstr @ X352 @ (^[Z0:$i]:(($true))))=(X352)))=>(![X269:$i, X270:$i]:((![X271:$i]:(((in @ X271 @ X270)=>(in @ X271 @ X269)))=>(in @ X270 @ (powerset @ X269))))=>(![X272:$i]:((in @ emptyset @ (powerset @ X272)))=>(![X273:$i]:((in @ emptyset @ (powerset @ X273)))=>(![X349:$i, X350:$i, X351:$i]:(((in @ X350 @ (powerset @ X349))=>((in @ X351 @ X350)=>(in @ X351 @ X349))))=>(![X346:$i, X347:$i, X348:$i]:(((in @ X347 @ X348)=>((in @ X348 @ X346)=>(in @ X347 @ (setunion @ X346)))))=>(![X274:$i, X275:$i]:(((in @ X275 @ (setunion @ X274))=>![X276:$o]:((![X277:$i]:(((in @ X275 @ X277)=>((in @ X277 @ X274)=>(X276))))=>(X276)))))=>(![X278:$i, X279:$i]:(((in @ X279 @ X278)=>(in @ X279 @ (powerset @ (setunion @ X278)))))=>(![X280:$i > $o]:((?[X281:$i]:(((X280 @ X281)&![X282:$i]:(((X280 @ X282)=>((X281)=(X282))))))=>?[X283:$i]:(![X284:$i]:(((X280 @ X284)<=>((X284)=(X283)))))))=>(![X285:$i]:((((X285)!=(emptyset))=>?[X286:$i]:((in @ X286 @ X285))))=>(![X287:$i, X288:$i]:(((in @ X287 @ (setadjoin @ X288 @ emptyset))=>((X287)=(X288))))=>(![X344:$i, X345:$i]:((((X344)!=(X345))=>~(in @ X345 @ (setadjoin @ X344 @ emptyset))))=>(![X289:$i, X290:$i]:((((X289)=(X290))=>(in @ X289 @ (setadjoin @ X290 @ emptyset))))=>(![X342:$i, X343:$i]:(((in @ X342 @ (setadjoin @ X343 @ emptyset))=>(in @ X343 @ (setadjoin @ X342 @ emptyset))))=>(![X291:$i, X292:$i, X293:$i]:(((in @ X293 @ (setadjoin @ X291 @ (setadjoin @ X292 @ emptyset)))=>(((X293)=(X291))|((X293)=(X292)))))=>(![X340:$i, X341:$i]:((in @ X340 @ (setadjoin @ X340 @ (setadjoin @ X341 @ emptyset))))=>(![X294:$i, X295:$i]:((in @ X295 @ (setadjoin @ X294 @ (setadjoin @ X295 @ emptyset))))=>(![X296:$i, X297:$i > $o]:((?[X298:$i]:(((in @ X298 @ X296)&(X297 @ X298)))=>((dsetconstr @ X296 @ (^[Z0:$i]:((X297 @ Z0))))!=(emptyset))))=>(![X338:$i > $o, X339:$i]:(((in @ X339 @ emptyset)=>(X338 @ X339)))=>(![X299:$i, X300:$i > $o]:((~(![X301:$i]:(((in @ X301 @ X299)=>(X300 @ X301))))=>?[X302:$i]:(((in @ X302 @ X299)&~(X300 @ X302)))))=>(![X303:$i, X304:$i > $o]:((![X305:$i]:(((in @ X305 @ X303)=>~(X304 @ X305)))=>~(?[X306:$i]:(((in @ X306 @ X303)&(X304 @ X306))))))=>(![X334:$i, X335:$i > $o]:((~(?[X336:$i]:(((in @ X336 @ X334)&(X335 @ X336))))=>![X337:$i]:(((in @ X337 @ X334)=>~(X335 @ X337)))))=>(![X330:$i, X331:$i > $o]:((?[X332:$i]:(((in @ X332 @ X330)&~(X331 @ X332)))=>~(![X333:$i]:(((in @ X333 @ X330)=>(X331 @ X333))))))=>(![X329:$o]:(((X329)=>(in @ emptyset @ (prop2set @ ((X329))))))=>(![X307:$o]:(((X307)=>(set2prop @ (prop2set @ ((X307))))))=>(![X308:$i, X309:$i > $o]:((~(?[X310:$i]:(((in @ X310 @ X308)&(X309 @ X310))))=>![X311:$i]:(((in @ X311 @ X308)=>~(X309 @ X311)))))=>(![X325:$i, X326:$i > $o]:((~(![X327:$i]:(((in @ X327 @ X325)=>(X326 @ X327))))=>?[X328:$i]:(((in @ X328 @ X325)&~(X326 @ X328)))))=>(![X320:$i > $o]:((?[X321:$i]:(((X320 @ X321)&![X322:$i]:(((X320 @ X322)=>((X321)=(X322))))))=>?[X323:$i]:(((X320 @ X323)&![X324:$i]:(((X320 @ X324)=>((X323)=(X324))))))))=>(![X314:$i > $o]:((?[X315:$i]:((X314 @ X315))=>(![X316:$i, X317:$i]:(((X314 @ X316)=>((X314 @ X317)=>((X316)=(X317)))))=>?[X318:$i]:(((X314 @ X318)&![X319:$i]:(((X314 @ X319)=>((X318)=(X319)))))))))=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:((((X3)=(X2))<=>(X1 @ X3))))=>?[X312:$i]:(((X1 @ X312)&![X313:$i]:(((X1 @ X313)=>((X312)=(X313))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[exuI2])]), upairsetIR]), emptysetAx]), setadjoinIR]), emptyinPowerset]), setadjoinIL]), c_0_75]), noeltsimpempty]), emptyInPowerset]), emptysetE]), prop2setE]), setunionE]), c_0_76]), wellorderingAx]), subPowSU]), omegaSAx]), powersetAx]), c_0_77]), c_0_78]), uniqinunit]), eqinunit]), upairsetE]), c_0_79]), quantDeMorgan1]), quantDeMorgan2]), prop2set2propI]), notdexE]), c_0_67]), c_0_80]), c_0_81]), notdallE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), vacuousDall]), upairsetIL]), singletonsswitch]), notinsingleton]), setunionI]), powersetE]), c_0_82]), setadjoinOr]), powersetI]), setadjoinE]), emptyinunitempty]), c_0_83]), c_0_84]), c_0_85]), emptyI]), setext]), c_0_86]), notinemptyset]), emptysetimpfalse]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), foundationAx]), c_0_91]), omegaIndAx]), omega0Ax]), setunionAx]), setadjoinAx]), setextAx])]), c_0_92])). 0.21/0.53 thf(c_0_94, negated_conjecture, ![X396:$i, X397:$i, X399:$i, X400:$i, X401:$i, X402:$i, X403:$i, X404:$i, X405:$i, X406:$i, X407:$i, X409:$i, X410:$i, X412:$i, X413:$i, X414:$i, X415:$i, X416:$i, X418:$i, X419:$i > $i > $o, X420:$i, X422:$i, X425:$i, X427:$i, X428:$i, X429:$i, X430:$i, X432:$i, X433:$i > $o, X434:$i, X436:$i, X437:$i > $o, X438:$i, X439:$i, X440:$i > $o, X441:$i, X442:$i, X443:$i > $o, X444:$i, X445:$i > $o, X446:$i, X449:$i, X450:$o, X451:$i, X452:$i, X453:$o, X454:$i, X455:$i, X456:$i > $o, X457:$i, X460:$i, X461:$i, X464:$i, X466:$i, X468:$i, X469:$i > $o, X470:$i, X471:$i, X473:$i, X474:$i > $o, X475:$i, X476:$i, X477:$i, X478:$i, X479:$i, X480:$i, X481:$i, X482:$i, X483:$i, X484:$i, X485:$i, X486:$o, X487:$i, X488:$i, X489:$i, X490:$i, X491:$i, X492:$i, X494:$i, X495:$i, X496:$i, X497:$i, X498:$i, X499:$i, X500:$i, X501:$i, X502:$i, X503:$i, X504:$o, X506:$i, X507:$i, X508:$i > $o, X509:$i, X512:$i, X513:$i, X514:$i, X516:$i, X517:$i, X518:$i, X519:$i, X520:$i, X521:$i, X522:$i, X523:$i, X524:$i, X525:$i, X526:$i, X527:$i, X528:$i, X529:$i, X530:$i, X531:$i, X532:$i > $o, X533:$i, X534:$i > $o, X535:$i, X536:$i, X537:$i > $o, X538:$i, X540:$i, X541:$i > $o, X543:$i, X544:$i, X545:$i > $o, X547:$i, X548:$i, X549:$i > $o, X550:$i, X552:$o, X553:$o, X554:$i, X555:$i > $o, X557:$i, X558:$i, X559:$i > $o, X560:$i, X562:$i > $o, X563:$i, X566:$i, X567:$i > $o, X568:$i, X572:$i, X575:$i, X576:$i]:((((~(in @ (esk1_2 @ X396 @ X397) @ X396)|~(in @ (esk1_2 @ X396 @ X397) @ X397)|((X396)=(X397)))&((in @ (esk1_2 @ X396 @ X397) @ X396)|(in @ (esk1_2 @ X396 @ X397) @ X397)|((X396)=(X397))))&(~(in @ X399 @ emptyset)&(((~(in @ X402 @ (setadjoin @ X400 @ X401))|(((X402)=(X400))|(in @ X402 @ X401)))&((((X402)!=(X400))|(in @ X402 @ (setadjoin @ X400 @ X401)))&(~(in @ X402 @ X401)|(in @ X402 @ (setadjoin @ X400 @ X401)))))&(((~(in @ X404 @ (powerset @ X403))|(~(in @ X405 @ X404)|(in @ X405 @ X403)))&(((in @ (esk2_2 @ X406 @ X407) @ X407)|(in @ X407 @ (powerset @ X406)))&(~(in @ (esk2_2 @ X406 @ X407) @ X406)|(in @ X407 @ (powerset @ X406)))))&(((((in @ X410 @ (esk3_2 @ X409 @ X410))|~(in @ X410 @ (setunion @ X409)))&((in @ (esk3_2 @ X409 @ X410) @ X409)|~(in @ X410 @ (setunion @ X409))))&(~(in @ X413 @ X414)|~(in @ X414 @ X412)|(in @ X413 @ (setunion @ X412))))&((in @ emptyset @ omega)&((~(in @ X415 @ omega)|(in @ (setadjoin @ X415 @ X415) @ omega))&(((((in @ (esk4_1 @ X416) @ omega)|~(in @ emptyset @ X416)|(~(in @ X418 @ omega)|(in @ X418 @ X416)))&((in @ (esk4_1 @ X416) @ X416)|~(in @ emptyset @ X416)|(~(in @ X418 @ omega)|(in @ X418 @ X416))))&(~(in @ (setadjoin @ (esk4_1 @ X416) @ (esk4_1 @ X416)) @ X416)|~(in @ emptyset @ X416)|(~(in @ X418 @ omega)|(in @ X418 @ X416))))&((((((in @ (esk8_3 @ X419 @ X420 @ X425) @ X420)|~(in @ X425 @ (esk7_2 @ X419 @ X420))|(in @ (esk5_2 @ X419 @ X420) @ X420))&((X419 @ (esk8_3 @ X419 @ X420 @ X425) @ X425)|~(in @ X425 @ (esk7_2 @ X419 @ X420))|(in @ (esk5_2 @ X419 @ X420) @ X420)))&(~(in @ X428 @ X420)|~(X419 @ X428 @ X427)|(in @ X427 @ (esk7_2 @ X419 @ X420))|(in @ (esk5_2 @ X419 @ X420) @ X420)))&(((((in @ (esk8_3 @ X419 @ X420 @ X425) @ X420)|~(in @ X425 @ (esk7_2 @ X419 @ X420))|((X419 @ (esk5_2 @ X419 @ X420) @ (esk6_3 @ X419 @ X420 @ X422))|~(X419 @ (esk5_2 @ X419 @ X420) @ X422)))&((X419 @ (esk8_3 @ X419 @ X420 @ X425) @ X425)|~(in @ X425 @ (esk7_2 @ X419 @ X420))|((X419 @ (esk5_2 @ X419 @ X420) @ (esk6_3 @ X419 @ X420 @ X422))|~(X419 @ (esk5_2 @ X419 @ X420) @ X422))))&(~(in @ X428 @ X420)|~(X419 @ X428 @ X427)|(in @ X427 @ (esk7_2 @ X419 @ X420))|((X419 @ (esk5_2 @ X419 @ X420) @ (esk6_3 @ X419 @ X420 @ X422))|~(X419 @ (esk5_2 @ X419 @ X420) @ X422))))&((((in @ (esk8_3 @ X419 @ X420 @ X425) @ X420)|~(in @ X425 @ (esk7_2 @ X419 @ X420))|(((X422)!=(esk6_3 @ X419 @ X420 @ X422))|~(X419 @ (esk5_2 @ X419 @ X420) @ X422)))&((X419 @ (esk8_3 @ X419 @ X420 @ X425) @ X425)|~(in @ X425 @ (esk7_2 @ X419 @ X420))|(((X422)!=(esk6_3 @ X419 @ X420 @ X422))|~(X419 @ (esk5_2 @ X419 @ X420) @ X422))))&(~(in @ X428 @ X420)|~(X419 @ X428 @ X427)|(in @ X427 @ (esk7_2 @ X419 @ X420))|(((X422)!=(esk6_3 @ X419 @ X420 @ X422))|~(X419 @ (esk5_2 @ X419 @ X420) @ X422))))))&((((in @ (esk9_1 @ X429) @ X429)|~(in @ X430 @ X429))&(~(in @ X432 @ (esk9_1 @ X429))|~(in @ X432 @ X429)|~(in @ X430 @ X429)))&((epred1_0)&((((X433 @ (esk10_2 @ X433 @ X434))|~(X433 @ X434)|(X433 @ (descr @ (^[Z0:$i]:((X433 @ Z0))))))&(((X434)!=(esk10_2 @ X433 @ X434))|~(X433 @ X434)|(X433 @ (descr @ (^[Z0:$i]:((X433 @ Z0)))))))&((~(in @ X438 @ X436)|(~(X437 @ X438)|(in @ X438 @ (dsetconstr @ X436 @ (^[Z0:$i]:((X437 @ Z0)))))))&((~(in @ X441 @ (dsetconstr @ X439 @ (^[Z0:$i]:((X440 @ Z0)))))|(in @ X441 @ X439))&((~(in @ X444 @ (dsetconstr @ X442 @ (^[Z0:$i]:((X443 @ Z0)))))|(X443 @ X444))&(((((X445 @ (esk12_1 @ X445))|((X445 @ (esk11_2 @ X445 @ X446))|~(X445 @ X446)))&(~(X445 @ X449)|((esk12_1 @ X445)=(X449))|((X445 @ (esk11_2 @ X445 @ X446))|~(X445 @ X446))))&(((X445 @ (esk12_1 @ X445))|(((X446)!=(esk11_2 @ X445 @ X446))|~(X445 @ X446)))&(~(X445 @ X449)|((esk12_1 @ X445)=(X449))|(((X446)!=(esk11_2 @ X445 @ X446))|~(X445 @ X446)))))&((~(in @ X451 @ (prop2set @ ((X450))))|(X450))&((~(in @ X452 @ emptyset)|(X453))&(~(in @ X454 @ emptyset)&(~(in @ X455 @ emptyset)&((((X456 @ (esk13_2 @ X456 @ X457))|~(X456 @ X457)|(X456 @ (esk14_1 @ X456)))&(((X457)!=(esk13_2 @ X456 @ X457))|~(X456 @ X457)|(X456 @ (esk14_1 @ X456))))&(((((in @ (esk16_2 @ X460 @ X461) @ X461)|((X460)=(X461))|(in @ (esk15_2 @ X460 @ X461) @ X460))&(~(in @ (esk16_2 @ X460 @ X461) @ X460)|((X460)=(X461))|(in @ (esk15_2 @ X460 @ X461) @ X460)))&(((in @ (esk16_2 @ X460 @ X461) @ X461)|((X460)=(X461))|~(in @ (esk15_2 @ X460 @ X461) @ X461))&(~(in @ (esk16_2 @ X460 @ X461) @ X460)|((X460)=(X461))|~(in @ (esk15_2 @ X460 @ X461) @ X461))))&(((in @ (esk17_1 @ X464) @ X464)|((X464)=(emptyset)))&(((in @ (esk18_1 @ X466) @ X466)|((X466)=(emptyset)))&(((~(in @ X470 @ (dsetconstr @ X468 @ (^[Z0:$i]:((X469 @ Z0)))))|(X469 @ X470)|~(in @ X470 @ X468))&(~(X469 @ X470)|(in @ X470 @ (dsetconstr @ X468 @ (^[Z0:$i]:((X469 @ Z0)))))|~(in @ X470 @ X468)))&((((X471)=(emptyset))|(in @ (esk19_1 @ X471) @ X471))&((~(in @ X475 @ X473)|(~(X474 @ X475)|((dsetconstr @ X473 @ (^[Z0:$i]:((X474 @ Z0))))!=(emptyset))))&((~(in @ X477 @ X476)|((X476)!=(emptyset)))&((in @ X478 @ (setadjoin @ X478 @ X479))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X482 @ X481)|(in @ X482 @ (setadjoin @ X480 @ X481)))&(((((in @ X485 @ X484)|(X486)|((X485)=(X483))|~(in @ X485 @ (setadjoin @ X483 @ X484)))&(~(X486)|(X486)|((X485)=(X483))|~(in @ X485 @ (setadjoin @ X483 @ X484))))&(((in @ X485 @ X484)|(X486)|~(X486)|~(in @ X485 @ (setadjoin @ X483 @ X484)))&(~(X486)|(X486)|~(X486)|~(in @ X485 @ (setadjoin @ X483 @ X484)))))&((~(in @ X489 @ (setadjoin @ X487 @ X488))|(((X489)=(X487))|(in @ X489 @ X488)))&(((dsetconstr @ X490 @ (^[Z0:$i]:(($true))))=(X490))&((((in @ (esk20_2 @ X491 @ X492) @ X492)|(in @ X492 @ (powerset @ X491)))&(~(in @ (esk20_2 @ X491 @ X492) @ X491)|(in @ X492 @ (powerset @ X491))))&((in @ emptyset @ (powerset @ X494))&((in @ emptyset @ (powerset @ X495))&((~(in @ X497 @ (powerset @ X496))|(~(in @ X498 @ X497)|(in @ X498 @ X496)))&((~(in @ X500 @ X501)|(~(in @ X501 @ X499)|(in @ X500 @ (setunion @ X499))))&((((in @ X503 @ (esk21_3 @ X502 @ X503 @ X504))|(X504)|~(in @ X503 @ (setunion @ X502)))&(((in @ (esk21_3 @ X502 @ X503 @ X504) @ X502)|(X504)|~(in @ X503 @ (setunion @ X502)))&(~(X504)|(X504)|~(in @ X503 @ (setunion @ X502)))))&((~(in @ X507 @ X506)|(in @ X507 @ (powerset @ (setunion @ X506))))&((((~(X508 @ X512)|((X512)=(esk23_1 @ X508))|((X508 @ (esk22_2 @ X508 @ X509))|~(X508 @ X509)))&(((X513)!=(esk23_1 @ X508))|(X508 @ X513)|((X508 @ (esk22_2 @ X508 @ X509))|~(X508 @ X509))))&((~(X508 @ X512)|((X512)=(esk23_1 @ X508))|(((X509)!=(esk22_2 @ X508 @ X509))|~(X508 @ X509)))&(((X513)!=(esk23_1 @ X508))|(X508 @ X513)|(((X509)!=(esk22_2 @ X508 @ X509))|~(X508 @ X509)))))&((((X514)=(emptyset))|(in @ (esk24_1 @ X514) @ X514))&((~(in @ X516 @ (setadjoin @ X517 @ emptyset))|((X516)=(X517)))&((((X518)=(X519))|~(in @ X519 @ (setadjoin @ X518 @ emptyset)))&((((X520)!=(X521))|(in @ X520 @ (setadjoin @ X521 @ emptyset)))&((~(in @ X522 @ (setadjoin @ X523 @ emptyset))|(in @ X523 @ (setadjoin @ X522 @ emptyset)))&((~(in @ X526 @ (setadjoin @ X524 @ (setadjoin @ X525 @ emptyset)))|(((X526)=(X524))|((X526)=(X525))))&((in @ X527 @ (setadjoin @ X527 @ (setadjoin @ X528 @ emptyset)))&((in @ X530 @ (setadjoin @ X529 @ (setadjoin @ X530 @ emptyset)))&((~(in @ X533 @ X531)|~(X532 @ X533)|((dsetconstr @ X531 @ (^[Z0:$i]:((X532 @ Z0))))!=(emptyset)))&((~(in @ X535 @ emptyset)|(X534 @ X535))&((((in @ (esk25_2 @ X536 @ X537) @ X536)|(~(in @ X538 @ X536)|(X537 @ X538)))&(~(X537 @ (esk25_2 @ X536 @ X537))|(~(in @ X538 @ X536)|(X537 @ X538))))&((((in @ (esk26_2 @ X540 @ X541) @ X540)|(~(in @ X543 @ X540)|~(X541 @ X543)))&((X541 @ (esk26_2 @ X540 @ X541))|(~(in @ X543 @ X540)|~(X541 @ X543))))&((((in @ (esk27_2 @ X544 @ X545) @ X544)|(~(in @ X547 @ X544)|~(X545 @ X547)))&((X545 @ (esk27_2 @ X544 @ X545))|(~(in @ X547 @ X544)|~(X545 @ X547))))&((((in @ (esk28_2 @ X548 @ X549) @ X548)|(~(in @ X550 @ X548)|(X549 @ X550)))&(~(X549 @ (esk28_2 @ X548 @ X549))|(~(in @ X550 @ X548)|(X549 @ X550))))&((~(X552)|(in @ emptyset @ (prop2set @ ((X552)))))&((~(X553)|(set2prop @ (prop2set @ ((X553)))))&((((in @ (esk29_2 @ X554 @ X555) @ X554)|(~(in @ X557 @ X554)|~(X555 @ X557)))&((X555 @ (esk29_2 @ X554 @ X555))|(~(in @ X557 @ X554)|~(X555 @ X557))))&((((in @ (esk30_2 @ X558 @ X559) @ X558)|(~(in @ X560 @ X558)|(X559 @ X560)))&(~(X559 @ (esk30_2 @ X558 @ X559))|(~(in @ X560 @ X558)|(X559 @ X560))))&(((((X562 @ (esk32_1 @ X562))|((X562 @ (esk31_2 @ X562 @ X563))|~(X562 @ X563)))&(~(X562 @ X566)|((esk32_1 @ X562)=(X566))|((X562 @ (esk31_2 @ X562 @ X563))|~(X562 @ X563))))&(((X562 @ (esk32_1 @ X562))|(((X563)!=(esk31_2 @ X562 @ X563))|~(X562 @ X563)))&(~(X562 @ X566)|((esk32_1 @ X562)=(X566))|(((X563)!=(esk31_2 @ X562 @ X563))|~(X562 @ X563)))))&(((((X567 @ (esk35_1 @ X567))|(X567 @ (esk33_1 @ X567))|~(X567 @ X568))&(~(X567 @ X572)|((esk35_1 @ X567)=(X572))|(X567 @ (esk33_1 @ X567))|~(X567 @ X568)))&((((X567 @ (esk35_1 @ X567))|(X567 @ (esk34_1 @ X567))|~(X567 @ X568))&(~(X567 @ X572)|((esk35_1 @ X567)=(X572))|(X567 @ (esk34_1 @ X567))|~(X567 @ X568)))&(((X567 @ (esk35_1 @ X567))|((esk33_1 @ X567)!=(esk34_1 @ X567))|~(X567 @ X568))&(~(X567 @ X572)|((esk35_1 @ X567)=(X572))|((esk33_1 @ X567)!=(esk34_1 @ X567))|~(X567 @ X568)))))&(((((X575)!=(esk36_0))|(epred2_0 @ X575))&(~(epred2_0 @ X575)|((X575)=(esk36_0))))&(((epred2_0 @ (esk37_1 @ X576))|~(epred2_0 @ X576))&(((X576)!=(esk37_1 @ X576))|~(epred2_0 @ X576))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_93])])])])])])). 0.21/0.53 thf(c_0_95, negated_conjecture, ![X2:$i]:((((X2)=(esk36_0))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_94])). 0.21/0.53 thf(c_0_96, negated_conjecture, ![X2:$i]:(((epred2_0 @ (esk37_1 @ X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_94])). 0.21/0.53 thf(c_0_97, negated_conjecture, ![X2:$i]:(((epred2_0 @ X2)|((X2)!=(esk36_0)))), inference(split_conjunct,[status(thm)],[c_0_94])). 0.21/0.53 thf(c_0_98, negated_conjecture, ![X2:$i]:((((X2)!=(esk37_1 @ X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_94])). 0.21/0.53 thf(c_0_99, negated_conjecture, ![X2:$i]:((((esk37_1 @ X2)=(esk36_0))|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_95, c_0_96])). 0.21/0.53 thf(c_0_100, negated_conjecture, (epred2_0 @ esk36_0), inference(er,[status(thm)],[c_0_97])). 0.21/0.53 thf(c_0_101, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99])]), c_0_100])]), ['proof']). 0.21/0.53 # SZS output end CNFRefutation 0.21/0.53 # Parsed axioms : 139 0.21/0.53 # Removed by relevancy pruning/SinE : 74 0.21/0.53 # Initial clauses : 129 0.21/0.53 # Removed in clause preprocessing : 4 0.21/0.53 # Initial clauses in saturation : 125 0.21/0.53 # Processed clauses : 146 0.21/0.53 # ...of these trivial : 3 0.21/0.53 # ...subsumed : 15 0.21/0.53 # ...remaining for further processing : 128 0.21/0.53 # Other redundant clauses eliminated : 8 0.21/0.53 # Clauses deleted for lack of memory : 0 0.21/0.53 # Backward-subsumed : 0 0.21/0.53 # Backward-rewritten : 1 0.21/0.53 # Generated clauses : 12 0.21/0.53 # ...of the previous two non-redundant : 7 0.21/0.53 # ...aggressively subsumed : 0 0.21/0.53 # Contextual simplify-reflections : 0 0.21/0.53 # Paramodulations : 4 0.21/0.53 # Factorizations : 0 0.21/0.53 # NegExts : 0 0.21/0.53 # Equation resolutions : 8 0.21/0.53 # Propositional unsat checks : 0 0.21/0.53 # Propositional check models : 0 0.21/0.53 # Propositional check unsatisfiable : 0 0.21/0.53 # Propositional clauses : 0 0.21/0.53 # Propositional clauses after purity: 0 0.21/0.53 # Propositional unsat core size : 0 0.21/0.53 # Propositional preprocessing time : 0.000 0.21/0.53 # Propositional encoding time : 0.000 0.21/0.53 # Propositional solver time : 0.000 0.21/0.53 # Success case prop preproc time : 0.000 0.21/0.53 # Success case prop encoding time : 0.000 0.21/0.53 # Success case prop solver time : 0.000 0.21/0.53 # Current number of processed clauses : 15 0.21/0.53 # Positive orientable unit clauses : 7 0.21/0.53 # Positive unorientable unit clauses: 0 0.21/0.53 # Negative unit clauses : 2 0.21/0.53 # Non-unit-clauses : 6 0.21/0.53 # Current number of unprocessed clauses: 92 0.21/0.53 # ...number of literals in the above : 287 0.21/0.53 # Current number of archived formulas : 0 0.21/0.53 # Current number of archived clauses : 107 0.21/0.53 # Clause-clause subsumption calls (NU) : 3413 0.21/0.53 # Rec. Clause-clause subsumption calls : 1671 0.21/0.53 # Non-unit clause-clause subsumptions : 12 0.21/0.53 # Unit Clause-clause subsumption calls : 3 0.21/0.53 # Rewrite failures with RHS unbound : 0 0.21/0.53 # BW rewrite match attempts : 2 0.21/0.53 # BW rewrite match successes : 1 0.21/0.53 # Condensation attempts : 146 0.21/0.53 # Condensation successes : 3 0.21/0.53 # Termbank termtop insertions : 18746 0.21/0.53 0.21/0.53 # ------------------------------------------------- 0.21/0.53 # User time : 0.021 s 0.21/0.53 # System time : 0.012 s 0.21/0.53 # Total time : 0.033 s 0.21/0.53 # Maximum resident set size: 3660 pages 0.21/0.53 0.21/0.53 # ------------------------------------------------- 0.21/0.53 # User time : 0.025 s 0.21/0.53 # System time : 0.015 s 0.21/0.53 # Total time : 0.039 s 0.21/0.53 # Maximum resident set size: 1868 pages 0.21/0.53 EOF