%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU539^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:25 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU539^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n019.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Sep 29 13:49:03 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 0.06/0.24 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=300 /export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p
% 0.21/0.28 % Version: 3.5.1-ho
% 0.21/0.28 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.28 % Starting sh5l with 300s (1) cores
% 0.21/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.28 % Starting new_bool_2 with 300s (1) cores
% 0.21/0.28 % new_bool_2 with pid 794329 completed with status 0
% 0.21/0.28 % Result found by new_bool_2
% 0.21/0.28 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.28 % Starting sh5l with 300s (1) cores
% 0.21/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.28 % Starting new_bool_2 with 300s (1) cores
% 0.21/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.28 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.21/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.21/0.28 % SubtermCWHack with pid 794331 completed with status 0
% 0.21/0.28 % Result found by SubtermCWHack
% 0.21/0.28 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.28 % Starting sh5l with 300s (1) cores
% 0.21/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.28 % Starting new_bool_2 with 300s (1) cores
% 0.21/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.28 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.21/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.21/0.28 % Preprocessing time : 0.002 s
% 0.21/0.28
% 0.21/0.28 % Proof found!
% 0.21/0.28 % SZS status Theorem
% 0.21/0.28 % SZS output start CNFRefutation
% 0.21/0.28 thf(decl_23, type, in: $i > $i > $o).
% 0.21/0.28 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.21/0.28 thf(decl_25, type, setextAx: $o).
% 0.21/0.28 thf(decl_26, type, emptyset: $i).
% 0.21/0.28 thf(decl_27, type, emptysetAx: $o).
% 0.21/0.28 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.21/0.28 thf(decl_29, type, setadjoinAx: $o).
% 0.21/0.28 thf(decl_30, type, powerset: $i > $i).
% 0.21/0.28 thf(decl_31, type, powersetAx: $o).
% 0.21/0.28 thf(decl_32, type, setunion: $i > $i).
% 0.21/0.28 thf(decl_33, type, setunionAx: $o).
% 0.21/0.28 thf(decl_34, type, omega: $i).
% 0.21/0.28 thf(decl_35, type, omega0Ax: $o).
% 0.21/0.28 thf(decl_36, type, omegaSAx: $o).
% 0.21/0.28 thf(decl_37, type, omegaIndAx: $o).
% 0.21/0.28 thf(decl_38, type, replAx: $o).
% 0.21/0.28 thf(decl_39, type, foundationAx: $o).
% 0.21/0.28 thf(decl_40, type, wellorderingAx: $o).
% 0.21/0.28 thf(decl_42, type, descrp: $o).
% 0.21/0.28 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.28 thf(decl_44, type, dsetconstrI: $o).
% 0.21/0.28 thf(decl_45, type, dsetconstrEL: $o).
% 0.21/0.28 thf(decl_46, type, dsetconstrER: $o).
% 0.21/0.28 thf(decl_47, type, exuE1: $o).
% 0.21/0.28 thf(decl_48, type, prop2set: $o > $i).
% 0.21/0.28 thf(decl_49, type, prop2setE: $o).
% 0.21/0.28 thf(decl_50, type, emptysetE: $o).
% 0.21/0.28 thf(decl_51, type, emptysetimpfalse: $o).
% 0.21/0.28 thf(decl_52, type, notinemptyset: $o).
% 0.21/0.28 thf(decl_53, type, exuE3e: $o).
% 0.21/0.28 thf(decl_54, type, setext: $o).
% 0.21/0.28 thf(decl_55, type, emptyI: $o).
% 0.21/0.28 thf(decl_56, type, noeltsimpempty: $o).
% 0.21/0.28 thf(decl_57, type, setbeta: $o).
% 0.21/0.28 thf(decl_58, type, nonempty: $i > $o).
% 0.21/0.28 thf(decl_59, type, nonemptyE1: $o).
% 0.21/0.28 thf(decl_60, type, nonemptyI: $o).
% 0.21/0.28 thf(decl_61, type, nonemptyI1: $o).
% 0.21/0.28 thf(decl_62, type, setadjoinIL: $o).
% 0.21/0.28 thf(decl_63, type, emptyinunitempty: $o).
% 0.21/0.28 thf(decl_64, type, setadjoinIR: $o).
% 0.21/0.28 thf(decl_65, type, setadjoinE: $o).
% 0.21/0.28 thf(decl_66, type, setadjoinOr: $o).
% 0.21/0.28 thf(decl_67, type, setoftrueEq: $o).
% 0.21/0.28 thf(decl_68, type, powersetI: $o).
% 0.21/0.28 thf(decl_69, type, emptyinPowerset: $o).
% 0.21/0.28 thf(decl_70, type, emptyInPowerset: $o).
% 0.21/0.28 thf(decl_71, type, powersetE: $o).
% 0.21/0.28 thf(decl_72, type, setunionI: $o).
% 0.21/0.28 thf(decl_73, type, setunionE: $o).
% 0.21/0.28 thf(decl_74, type, subPowSU: $o).
% 0.21/0.28 thf(decl_75, type, exuE2: $o).
% 0.21/0.28 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.21/0.28 thf(decl_77, type, uniqinunit: $o).
% 0.21/0.28 thf(decl_78, type, notinsingleton: $o).
% 0.21/0.28 thf(decl_79, type, eqinunit: $o).
% 0.21/0.28 thf(decl_80, type, singletonsswitch: $o).
% 0.21/0.28 thf(decl_81, type, upairsetE: $o).
% 0.21/0.28 thf(decl_82, type, upairsetIL: $o).
% 0.21/0.28 thf(decl_83, type, upairsetIR: $o).
% 0.21/0.28 thf(decl_84, type, emptyE1: $o).
% 0.21/0.28 thf(decl_85, type, vacuousDall: $o).
% 0.21/0.28 thf(decl_86, type, quantDeMorgan1: $o).
% 0.21/0.28 thf(decl_87, type, quantDeMorgan2: $o).
% 0.21/0.28 thf(decl_88, type, quantDeMorgan3: $o).
% 0.21/0.28 thf(decl_89, type, epred1_0: $o).
% 0.21/0.28 thf(decl_90, type, esk1_2: $i > $i > $i).
% 0.21/0.28 thf(decl_91, type, esk2_2: $i > $i > $i).
% 0.21/0.28 thf(decl_92, type, esk3_2: $i > $i > $i).
% 0.21/0.28 thf(decl_93, type, esk4_1: $i > $i).
% 0.21/0.28 thf(decl_94, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.21/0.28 thf(decl_95, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.21/0.28 thf(decl_96, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.21/0.28 thf(decl_97, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.21/0.28 thf(decl_98, type, esk9_1: $i > $i).
% 0.21/0.28 thf(decl_99, type, esk10_2: ($i > $o) > $i > $i).
% 0.21/0.28 thf(decl_100, type, esk11_1: ($i > $o) > $i).
% 0.21/0.28 thf(decl_101, type, esk12_2: ($i > $o) > $i > $i).
% 0.21/0.28 thf(decl_102, type, esk13_1: ($i > $o) > $i).
% 0.21/0.28 thf(decl_103, type, esk14_2: $i > $i > $i).
% 0.21/0.28 thf(decl_104, type, esk15_2: $i > $i > $i).
% 0.21/0.28 thf(decl_105, type, esk16_1: $i > $i).
% 0.21/0.28 thf(decl_106, type, esk17_1: $i > $i).
% 0.21/0.28 thf(decl_107, type, esk18_1: $i > $i).
% 0.21/0.28 thf(decl_108, type, esk19_2: $i > $i > $i).
% 0.21/0.28 thf(decl_109, type, esk20_3: $i > $i > $o > $i).
% 0.21/0.28 thf(decl_110, type, esk21_2: ($i > $o) > $i > $i).
% 0.21/0.28 thf(decl_111, type, esk22_1: ($i > $o) > $i).
% 0.21/0.28 thf(decl_112, type, esk23_1: $i > $i).
% 0.21/0.28 thf(decl_113, type, esk24_2: $i > ($i > $o) > $i).
% 0.21/0.28 thf(decl_114, type, esk25_2: $i > ($i > $o) > $i).
% 0.21/0.28 thf(decl_115, type, esk26_2: $i > ($i > $o) > $i).
% 0.21/0.28 thf(decl_116, type, esk27_0: $i).
% 0.21/0.28 thf(decl_117, type, epred2_0: $i > $o).
% 0.21/0.28 thf(decl_118, type, esk28_0: $i).
% 0.21/0.28 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', exuE1)).
% 0.21/0.28 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', exu)).
% 0.21/0.28 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', replAx)).
% 0.21/0.28 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', prop2set)).
% 0.21/0.28 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', exuE3e)).
% 0.21/0.28 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', nonempty)).
% 0.21/0.28 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', nonemptyI)).
% 0.21/0.28 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', exuE2)).
% 0.21/0.28 thf(quantDeMorgan4, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', quantDeMorgan4)).
% 0.21/0.28 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', dsetconstrEL)).
% 0.21/0.28 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.8x8HqnPgQ6/E---3.1_794286.p', emptyE1)).
% 0.21/0.28 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', dsetconstrER)).
% 0.21/0.28 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', dsetconstrI)).
% 0.21/0.28 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', prop2setE)).
% 0.21/0.28 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setbeta)).
% 0.21/0.28 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', nonemptyI1)).
% 0.21/0.28 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', nonemptyE1)).
% 0.21/0.28 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setoftrueEq)).
% 0.21/0.28 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', nonemptyImpWitness)).
% 0.21/0.28 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', eqinunit)).
% 0.21/0.28 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', singletonsswitch)).
% 0.21/0.28 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X15:$i]:(((in @ X15 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X15)=(X2))|((X15)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', upairsetE)).
% 0.21/0.28 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', omegaIndAx)).
% 0.21/0.28 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', upairsetIL)).
% 0.21/0.28 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', upairsetIR)).
% 0.21/0.28 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', vacuousDall)).
% 0.21/0.28 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', quantDeMorgan1)).
% 0.21/0.28 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', quantDeMorgan2)).
% 0.21/0.28 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', quantDeMorgan3)).
% 0.21/0.28 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', omegaSAx)).
% 0.21/0.28 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setadjoinOr)).
% 0.21/0.28 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X14:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X14))))=>(X14)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setunionE)).
% 0.21/0.28 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.8x8HqnPgQ6/E---3.1_794286.p', wellorderingAx)).
% 0.21/0.28 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.8x8HqnPgQ6/E---3.1_794286.p', foundationAx)).
% 0.21/0.28 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', noeltsimpempty)).
% 0.21/0.28 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', emptyI)).
% 0.21/0.28 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.8x8HqnPgQ6/E---3.1_794286.p', setext)).
% 0.21/0.28 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', notinemptyset)).
% 0.21/0.28 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', emptysetimpfalse)).
% 0.21/0.28 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', emptysetE)).
% 0.21/0.28 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X13:$o]:(((((X3)=(X2))=>(X13))=>(((in @ X3 @ X4)=>(X13))=>(X13))))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setadjoinE)).
% 0.21/0.28 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setadjoinIR)).
% 0.21/0.28 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', emptyinunitempty)).
% 0.21/0.28 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setadjoinIL)).
% 0.21/0.28 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setunionI)).
% 0.21/0.28 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', powersetE)).
% 0.21/0.28 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', emptyInPowerset)).
% 0.21/0.28 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', emptyinPowerset)).
% 0.21/0.28 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', powersetI)).
% 0.21/0.28 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', uniqinunit)).
% 0.21/0.28 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', notinsingleton)).
% 0.21/0.28 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', subPowSU)).
% 0.21/0.28 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', omega0Ax)).
% 0.21/0.28 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setunionAx)).
% 0.21/0.28 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', powersetAx)).
% 0.21/0.28 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setadjoinAx)).
% 0.21/0.28 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', emptysetAx)).
% 0.21/0.28 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.8x8HqnPgQ6/E---3.1_794286.p', setextAx)).
% 0.21/0.28 thf(c_0_58, 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])).
% 0.21/0.28 thf(c_0_59, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.21/0.28 thf(c_0_60, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.21/0.28 thf(c_0_61, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])).
% 0.21/0.28 thf(c_0_62, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.21/0.28 thf(c_0_63, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.21/0.28 thf(c_0_64, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.21/0.28 thf(c_0_65, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.21/0.28 thf(c_0_66, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[quantDeMorgan4])).
% 0.21/0.28 thf(c_0_67, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.21/0.28 thf(c_0_68, plain, ((emptyE1)<=>![X4:$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])).
% 0.21/0.28 thf(c_0_69, plain, ((exuE1)=(![X1:$i > $o]:((((?[X173:$i]:(((((X1 @ X173)))&(![X174:$i]:(((((X1 @ X174)))=>(((X173)=(X174))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_58, c_0_59])).
% 0.21/0.28 thf(c_0_70, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.21/0.28 thf(c_0_71, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.21/0.28 thf(c_0_72, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X171:$i]:(((((X6 @ X2 @ X171)))&(![X172:$i]:(((((X6 @ X2 @ X172)))=>(((X171)=(X172)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_60, c_0_59])).
% 0.21/0.28 thf(c_0_73, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_61])).
% 0.21/0.28 thf(c_0_74, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X175:$i]:(((((X1 @ X175)))&(![X176:$i]:(((((X1 @ X176)))=>(((X175)=(X176))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_62, c_0_59])).
% 0.21/0.28 thf(c_0_75, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.21/0.28 thf(c_0_76, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_63])).
% 0.21/0.28 thf(c_0_77, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_64, c_0_63])).
% 0.21/0.28 thf(c_0_78, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_63])).
% 0.21/0.28 thf(c_0_79, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.21/0.28 thf(c_0_80, plain, ((exuE2)=(![X1:$i > $o]:((((?[X177:$i]:(((((X1 @ X177)))&(![X178:$i]:(((((X1 @ X178)))=>(((X177)=(X178))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_65, c_0_59])).
% 0.21/0.28 thf(c_0_81, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_63])).
% 0.21/0.28 thf(c_0_82, plain, ((epred1_0)<=>![X208:$i]:(?[X209:$i]:((((![X210:$i]:(((in @ X210 @ X209)=>![X211:$i]:(((in @ X211 @ X210)=>(in @ X211 @ X208)))))&![X212:$i, X213:$i]:((((in @ X212 @ X208)&(in @ X213 @ X208))=>(![X214:$i]:(((in @ X214 @ X209)=>((in @ X212 @ X214)<=>(in @ X213 @ X214))))=>((X212)=(X213))))))&![X215:$i, X216:$i]:((((in @ X215 @ X209)&(in @ X216 @ X209))=>(![X217:$i]:(((in @ X217 @ X215)=>(in @ X217 @ X216)))|![X218:$i]:(((in @ X218 @ X216)=>(in @ X218 @ X215)))))))&![X219:$i]:(((![X220:$i]:(((in @ X220 @ X219)=>(in @ X220 @ X208)))&?[X221:$i]:((in @ X221 @ X219)))=>?[X222:$i, X223:$i]:(((((in @ X222 @ X209)&(in @ X223 @ X219))&~(?[X224:$i]:(((in @ X224 @ X222)&(in @ X224 @ X219)))))&![X225:$i]:(((in @ X225 @ X209)=>(![X226:$i]:(((in @ X226 @ X225)=>(in @ X226 @ X222)))|(in @ X223 @ X225)))))))))))), introduced(definition)).
% 0.21/0.28 thf(c_0_83, negated_conjecture, ~((![X179:$i, X180:$i]:((![X181:$i]:(((in @ X181 @ X179)<=>(in @ X181 @ X180)))=>((X179)=(X180))))=>(![X182:$i]:(~(in @ X182 @ emptyset))=>(![X183:$i, X184:$i, X185:$i]:(((in @ X185 @ (setadjoin @ X183 @ X184))<=>(((X185)=(X183))|(in @ X185 @ X184))))=>(![X186:$i, X187:$i]:(((in @ X187 @ (powerset @ X186))<=>![X188:$i]:(((in @ X188 @ X187)=>(in @ X188 @ X186)))))=>(![X189:$i, X190:$i]:(((in @ X190 @ (setunion @ X189))<=>?[X191:$i]:(((in @ X190 @ X191)&(in @ X191 @ X189)))))=>((in @ emptyset @ omega)=>(![X192:$i]:(((in @ X192 @ omega)=>(in @ (setadjoin @ X192 @ X192) @ omega)))=>(![X193:$i]:((((in @ emptyset @ X193)&![X194:$i]:((((in @ X194 @ omega)&(in @ X194 @ X193))=>(in @ (setadjoin @ X194 @ X194) @ X193))))=>![X195:$i]:(((in @ X195 @ omega)=>(in @ X195 @ X193)))))=>(![X196:$i > $i > $o, X197:$i]:((![X198:$i]:(((in @ X198 @ X197)=>?[X199:$i]:(((X196 @ X198 @ X199)&![X200:$i]:(((X196 @ X198 @ X200)=>((X199)=(X200))))))))=>?[X201:$i]:(![X202:$i]:(((in @ X202 @ X201)<=>?[X203:$i]:(((in @ X203 @ X197)&(X196 @ X203 @ X202))))))))=>(![X204:$i]:((?[X205:$i]:((in @ X205 @ X204))=>?[X206:$i]:(((in @ X206 @ X204)&~(?[X207:$i]:(((in @ X207 @ X206)&(in @ X207 @ X204))))))))=>((epred1_0)=>((descrp)=>(![X227:$i, X228:$i > $o, X229:$i]:(((in @ X229 @ X227)=>((X228 @ X229)=>(in @ X229 @ (dsetconstr @ X227 @ (^[Z0:$i]:((X228 @ Z0))))))))=>(![X230:$i, X231:$i > $o, X232:$i]:(((in @ X232 @ (dsetconstr @ X230 @ (^[Z0:$i]:((X231 @ Z0)))))=>(in @ X232 @ X230)))=>(![X233:$i, X234:$i > $o, X235:$i]:(((in @ X235 @ (dsetconstr @ X233 @ (^[Z0:$i]:((X234 @ Z0)))))=>(X234 @ X235)))=>(![X236:$i > $o]:((?[X237:$i]:(((X236 @ X237)&![X238:$i]:(((X236 @ X238)=>((X237)=(X238))))))=>?[X239:$i]:(((X236 @ X239)&![X240:$i]:(((X236 @ X240)=>((X239)=(X240))))))))=>(![X241:$o, X242:$i]:(((in @ X242 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X241)))))=>(X241)))=>(![X243:$i]:(((in @ X243 @ emptyset)=>![X244:$o]:((X244))))=>(![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))))=>(![X257:$i]:((![X258:$i]:(~(in @ X258 @ X257))=>((X257)=(emptyset))))=>(![X259:$i, X260:$i > $o, X261:$i]:(((in @ X261 @ X259)=>((in @ X261 @ (dsetconstr @ X259 @ (^[Z0:$i]:((X260 @ Z0)))))<=>(X260 @ X261))))=>(![X262:$i]:((((X262)!=(emptyset))=>?[X263:$i]:((in @ X263 @ X262))))=>(![X264:$i, X265:$i > $o, X266:$i]:(((in @ X266 @ X264)=>((X265 @ X266)=>((dsetconstr @ X264 @ (^[Z0:$i]:((X265 @ Z0))))!=(emptyset)))))=>(![X267:$i]:((?[X268:$i]:((in @ X268 @ X267))=>((X267)!=(emptyset))))=>(![X269:$i, X270:$i]:((in @ X269 @ (setadjoin @ X269 @ X270)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X271:$i, X272:$i, X273:$i]:(((in @ X273 @ X272)=>(in @ X273 @ (setadjoin @ X271 @ X272))))=>(![X274:$i, X275:$i, X276:$i]:(((in @ X276 @ (setadjoin @ X274 @ X275))=>![X277:$o]:(((((X276)=(X274))=>(X277))=>(((in @ X276 @ X275)=>(X277))=>(X277))))))=>(![X278:$i, X279:$i, X280:$i]:(((in @ X280 @ (setadjoin @ X278 @ X279))=>(((X280)=(X278))|(in @ X280 @ X279))))=>(![X281:$i]:(((dsetconstr @ X281 @ (^[Z0:$i]:(($true))))=(X281)))=>(![X282:$i, X283:$i]:((![X284:$i]:(((in @ X284 @ X283)=>(in @ X284 @ X282)))=>(in @ X283 @ (powerset @ X282))))=>(![X285:$i]:((in @ emptyset @ (powerset @ X285)))=>(![X286:$i]:((in @ emptyset @ (powerset @ X286)))=>(![X287:$i, X288:$i, X289:$i]:(((in @ X288 @ (powerset @ X287))=>((in @ X289 @ X288)=>(in @ X289 @ X287))))=>(![X290:$i, X291:$i, X292:$i]:(((in @ X291 @ X292)=>((in @ X292 @ X290)=>(in @ X291 @ (setunion @ X290)))))=>(![X293:$i, X294:$i]:(((in @ X294 @ (setunion @ X293))=>![X295:$o]:((![X296:$i]:(((in @ X294 @ X296)=>((in @ X296 @ X293)=>(X295))))=>(X295)))))=>(![X297:$i, X298:$i]:(((in @ X298 @ X297)=>(in @ X298 @ (powerset @ (setunion @ X297)))))=>(![X299:$i > $o]:((?[X300:$i]:(((X299 @ X300)&![X301:$i]:(((X299 @ X301)=>((X300)=(X301))))))=>?[X302:$i]:(![X303:$i]:(((X299 @ X303)<=>((X303)=(X302)))))))=>(![X304:$i]:((((X304)!=(emptyset))=>?[X305:$i]:((in @ X305 @ X304))))=>(![X306:$i, X307:$i]:(((in @ X306 @ (setadjoin @ X307 @ emptyset))=>((X306)=(X307))))=>(![X308:$i, X309:$i]:((((X308)!=(X309))=>~(in @ X309 @ (setadjoin @ X308 @ emptyset))))=>(![X310:$i, X311:$i]:((((X310)=(X311))=>(in @ X310 @ (setadjoin @ X311 @ emptyset))))=>(![X312:$i, X313:$i]:(((in @ X312 @ (setadjoin @ X313 @ emptyset))=>(in @ X313 @ (setadjoin @ X312 @ emptyset))))=>(![X314:$i, X315:$i, X316:$i]:(((in @ X316 @ (setadjoin @ X314 @ (setadjoin @ X315 @ emptyset)))=>(((X316)=(X314))|((X316)=(X315)))))=>(![X317:$i, X318:$i]:((in @ X317 @ (setadjoin @ X317 @ (setadjoin @ X318 @ emptyset))))=>(![X319:$i, X320:$i]:((in @ X320 @ (setadjoin @ X319 @ (setadjoin @ X320 @ emptyset))))=>(![X321:$i, X322:$i > $o]:((?[X323:$i]:(((in @ X323 @ X321)&(X322 @ X323)))=>((dsetconstr @ X321 @ (^[Z0:$i]:((X322 @ Z0))))!=(emptyset))))=>(![X324:$i > $o, X325:$i]:(((in @ X325 @ emptyset)=>(X324 @ X325)))=>(![X326:$i, X327:$i > $o]:((~(![X328:$i]:(((in @ X328 @ X326)=>(X327 @ X328))))=>?[X329:$i]:(((in @ X329 @ X326)&~(X327 @ X329)))))=>(![X330:$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:$i]:(((in @ X337 @ X334)=>~(X335 @ X337)))))=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~(X1 @ X2)))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_66, c_0_67]), eqinunit]), singletonsswitch]), upairsetE]), omegaIndAx]), upairsetIL]), upairsetIR]), c_0_68]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), omegaSAx]), c_0_69]), c_0_70]), setadjoinOr]), setunionE]), c_0_71]), wellorderingAx]), foundationAx]), c_0_72]), c_0_73]), noeltsimpempty]), emptyI]), setext]), c_0_74]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_75]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), c_0_76]), c_0_77]), c_0_78]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_79]), c_0_80]), c_0_81]), uniqinunit]), notinsingleton]), subPowSU]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])]), c_0_82])).
% 0.21/0.28 thf(c_0_84, negated_conjecture, ![X338:$i, X339:$i, X341:$i, X342:$i, X343:$i, X344:$i, X345:$i, X346:$i, X347:$i, X348:$i, X349:$i, X351:$i, X352:$i, X354:$i, X355:$i, X356:$i, X357:$i, X358:$i, X360:$i, X361:$i > $i > $o, X362:$i, X364:$i, X367:$i, X369:$i, X370:$i, X371:$i, X372:$i, X374:$i, X375:$i, X376:$i > $o, X377:$i, X378:$i, X379:$i > $o, X380:$i, X381:$i, X382:$i > $o, X383:$i, X384:$i > $o, X385:$i, X388:$i, X389:$o, X390:$i, X391:$i, X392:$o, X393:$i, X394:$i, X395:$i > $o, X396:$i, X399:$i, X400:$i, X403:$i, X405:$i, X407:$i, X408:$i > $o, X409:$i, X410:$i, X412:$i, X413:$i > $o, X414:$i, X415:$i, X416:$i, X417:$i, X418:$i, X419:$i, X420:$i, X421:$i, X422:$i, X423:$i, X424:$i, X425:$o, X426:$i, X427:$i, X428:$i, X429:$i, X430:$i, X431:$i, X433:$i, X434:$i, X435:$i, X436:$i, X437:$i, X438:$i, X439:$i, X440:$i, X441:$i, X442:$i, X443:$o, X445:$i, X446:$i, X447:$i > $o, X448:$i, X451:$i, X452:$i, X453:$i, X455:$i, X456:$i, X457:$i, X458:$i, X459:$i, X460:$i, X461:$i, X462:$i, X463:$i, X464:$i, X465:$i, X466:$i, X467:$i, X468:$i, X469:$i, X470:$i, X471:$i > $o, X472:$i, X473:$i > $o, X474:$i, X475:$i, X476:$i > $o, X477:$i, X479:$i, X480:$i > $o, X482:$i, X483:$i, X484:$i > $o, X486:$i, X490:$i]:((((~(in @ (esk1_2 @ X338 @ X339) @ X338)|~(in @ (esk1_2 @ X338 @ X339) @ X339)|((X338)=(X339)))&((in @ (esk1_2 @ X338 @ X339) @ X338)|(in @ (esk1_2 @ X338 @ X339) @ X339)|((X338)=(X339))))&(~(in @ X341 @ emptyset)&(((~(in @ X344 @ (setadjoin @ X342 @ X343))|(((X344)=(X342))|(in @ X344 @ X343)))&((((X344)!=(X342))|(in @ X344 @ (setadjoin @ X342 @ X343)))&(~(in @ X344 @ X343)|(in @ X344 @ (setadjoin @ X342 @ X343)))))&(((~(in @ X346 @ (powerset @ X345))|(~(in @ X347 @ X346)|(in @ X347 @ X345)))&(((in @ (esk2_2 @ X348 @ X349) @ X349)|(in @ X349 @ (powerset @ X348)))&(~(in @ (esk2_2 @ X348 @ X349) @ X348)|(in @ X349 @ (powerset @ X348)))))&(((((in @ X352 @ (esk3_2 @ X351 @ X352))|~(in @ X352 @ (setunion @ X351)))&((in @ (esk3_2 @ X351 @ X352) @ X351)|~(in @ X352 @ (setunion @ X351))))&(~(in @ X355 @ X356)|~(in @ X356 @ X354)|(in @ X355 @ (setunion @ X354))))&((in @ emptyset @ omega)&((~(in @ X357 @ omega)|(in @ (setadjoin @ X357 @ X357) @ omega))&(((((in @ (esk4_1 @ X358) @ omega)|~(in @ emptyset @ X358)|(~(in @ X360 @ omega)|(in @ X360 @ X358)))&((in @ (esk4_1 @ X358) @ X358)|~(in @ emptyset @ X358)|(~(in @ X360 @ omega)|(in @ X360 @ X358))))&(~(in @ (setadjoin @ (esk4_1 @ X358) @ (esk4_1 @ X358)) @ X358)|~(in @ emptyset @ X358)|(~(in @ X360 @ omega)|(in @ X360 @ X358))))&((((((in @ (esk8_3 @ X361 @ X362 @ X367) @ X362)|~(in @ X367 @ (esk7_2 @ X361 @ X362))|(in @ (esk5_2 @ X361 @ X362) @ X362))&((X361 @ (esk8_3 @ X361 @ X362 @ X367) @ X367)|~(in @ X367 @ (esk7_2 @ X361 @ X362))|(in @ (esk5_2 @ X361 @ X362) @ X362)))&(~(in @ X370 @ X362)|~(X361 @ X370 @ X369)|(in @ X369 @ (esk7_2 @ X361 @ X362))|(in @ (esk5_2 @ X361 @ X362) @ X362)))&(((((in @ (esk8_3 @ X361 @ X362 @ X367) @ X362)|~(in @ X367 @ (esk7_2 @ X361 @ X362))|((X361 @ (esk5_2 @ X361 @ X362) @ (esk6_3 @ X361 @ X362 @ X364))|~(X361 @ (esk5_2 @ X361 @ X362) @ X364)))&((X361 @ (esk8_3 @ X361 @ X362 @ X367) @ X367)|~(in @ X367 @ (esk7_2 @ X361 @ X362))|((X361 @ (esk5_2 @ X361 @ X362) @ (esk6_3 @ X361 @ X362 @ X364))|~(X361 @ (esk5_2 @ X361 @ X362) @ X364))))&(~(in @ X370 @ X362)|~(X361 @ X370 @ X369)|(in @ X369 @ (esk7_2 @ X361 @ X362))|((X361 @ (esk5_2 @ X361 @ X362) @ (esk6_3 @ X361 @ X362 @ X364))|~(X361 @ (esk5_2 @ X361 @ X362) @ X364))))&((((in @ (esk8_3 @ X361 @ X362 @ X367) @ X362)|~(in @ X367 @ (esk7_2 @ X361 @ X362))|(((X364)!=(esk6_3 @ X361 @ X362 @ X364))|~(X361 @ (esk5_2 @ X361 @ X362) @ X364)))&((X361 @ (esk8_3 @ X361 @ X362 @ X367) @ X367)|~(in @ X367 @ (esk7_2 @ X361 @ X362))|(((X364)!=(esk6_3 @ X361 @ X362 @ X364))|~(X361 @ (esk5_2 @ X361 @ X362) @ X364))))&(~(in @ X370 @ X362)|~(X361 @ X370 @ X369)|(in @ X369 @ (esk7_2 @ X361 @ X362))|(((X364)!=(esk6_3 @ X361 @ X362 @ X364))|~(X361 @ (esk5_2 @ X361 @ X362) @ X364))))))&((((in @ (esk9_1 @ X371) @ X371)|~(in @ X372 @ X371))&(~(in @ X374 @ (esk9_1 @ X371))|~(in @ X374 @ X371)|~(in @ X372 @ X371)))&((epred1_0)&((descrp)&((~(in @ X377 @ X375)|(~(X376 @ X377)|(in @ X377 @ (dsetconstr @ X375 @ (^[Z0:$i]:((X376 @ Z0)))))))&((~(in @ X380 @ (dsetconstr @ X378 @ (^[Z0:$i]:((X379 @ Z0)))))|(in @ X380 @ X378))&((~(in @ X383 @ (dsetconstr @ X381 @ (^[Z0:$i]:((X382 @ Z0)))))|(X382 @ X383))&(((((X384 @ (esk11_1 @ X384))|((X384 @ (esk10_2 @ X384 @ X385))|~(X384 @ X385)))&(~(X384 @ X388)|((esk11_1 @ X384)=(X388))|((X384 @ (esk10_2 @ X384 @ X385))|~(X384 @ X385))))&(((X384 @ (esk11_1 @ X384))|(((X385)!=(esk10_2 @ X384 @ X385))|~(X384 @ X385)))&(~(X384 @ X388)|((esk11_1 @ X384)=(X388))|(((X385)!=(esk10_2 @ X384 @ X385))|~(X384 @ X385)))))&((~(in @ X390 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X389)))))|(X389))&((~(in @ X391 @ emptyset)|(X392))&(~(in @ X393 @ emptyset)&(~(in @ X394 @ emptyset)&((((X395 @ (esk12_2 @ X395 @ X396))|~(X395 @ X396)|(X395 @ (esk13_1 @ X395)))&(((X396)!=(esk12_2 @ X395 @ X396))|~(X395 @ X396)|(X395 @ (esk13_1 @ X395))))&(((((in @ (esk15_2 @ X399 @ X400) @ X400)|((X399)=(X400))|(in @ (esk14_2 @ X399 @ X400) @ X399))&(~(in @ (esk15_2 @ X399 @ X400) @ X399)|((X399)=(X400))|(in @ (esk14_2 @ X399 @ X400) @ X399)))&(((in @ (esk15_2 @ X399 @ X400) @ X400)|((X399)=(X400))|~(in @ (esk14_2 @ X399 @ X400) @ X400))&(~(in @ (esk15_2 @ X399 @ X400) @ X399)|((X399)=(X400))|~(in @ (esk14_2 @ X399 @ X400) @ X400))))&(((in @ (esk16_1 @ X403) @ X403)|((X403)=(emptyset)))&(((in @ (esk17_1 @ X405) @ X405)|((X405)=(emptyset)))&(((~(in @ X409 @ (dsetconstr @ X407 @ (^[Z0:$i]:((X408 @ Z0)))))|(X408 @ X409)|~(in @ X409 @ X407))&(~(X408 @ X409)|(in @ X409 @ (dsetconstr @ X407 @ (^[Z0:$i]:((X408 @ Z0)))))|~(in @ X409 @ X407)))&((((X410)=(emptyset))|(in @ (esk18_1 @ X410) @ X410))&((~(in @ X414 @ X412)|(~(X413 @ X414)|((dsetconstr @ X412 @ (^[Z0:$i]:((X413 @ Z0))))!=(emptyset))))&((~(in @ X416 @ X415)|((X415)!=(emptyset)))&((in @ X417 @ (setadjoin @ X417 @ X418))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X421 @ X420)|(in @ X421 @ (setadjoin @ X419 @ X420)))&(((((in @ X424 @ X423)|(X425)|((X424)=(X422))|~(in @ X424 @ (setadjoin @ X422 @ X423)))&(~(X425)|(X425)|((X424)=(X422))|~(in @ X424 @ (setadjoin @ X422 @ X423))))&(((in @ X424 @ X423)|(X425)|~(X425)|~(in @ X424 @ (setadjoin @ X422 @ X423)))&(~(X425)|(X425)|~(X425)|~(in @ X424 @ (setadjoin @ X422 @ X423)))))&((~(in @ X428 @ (setadjoin @ X426 @ X427))|(((X428)=(X426))|(in @ X428 @ X427)))&(((dsetconstr @ X429 @ (^[Z0:$i]:(($true))))=(X429))&((((in @ (esk19_2 @ X430 @ X431) @ X431)|(in @ X431 @ (powerset @ X430)))&(~(in @ (esk19_2 @ X430 @ X431) @ X430)|(in @ X431 @ (powerset @ X430))))&((in @ emptyset @ (powerset @ X433))&((in @ emptyset @ (powerset @ X434))&((~(in @ X436 @ (powerset @ X435))|(~(in @ X437 @ X436)|(in @ X437 @ X435)))&((~(in @ X439 @ X440)|(~(in @ X440 @ X438)|(in @ X439 @ (setunion @ X438))))&((((in @ X442 @ (esk20_3 @ X441 @ X442 @ X443))|(X443)|~(in @ X442 @ (setunion @ X441)))&(((in @ (esk20_3 @ X441 @ X442 @ X443) @ X441)|(X443)|~(in @ X442 @ (setunion @ X441)))&(~(X443)|(X443)|~(in @ X442 @ (setunion @ X441)))))&((~(in @ X446 @ X445)|(in @ X446 @ (powerset @ (setunion @ X445))))&((((~(X447 @ X451)|((X451)=(esk22_1 @ X447))|((X447 @ (esk21_2 @ X447 @ X448))|~(X447 @ X448)))&(((X452)!=(esk22_1 @ X447))|(X447 @ X452)|((X447 @ (esk21_2 @ X447 @ X448))|~(X447 @ X448))))&((~(X447 @ X451)|((X451)=(esk22_1 @ X447))|(((X448)!=(esk21_2 @ X447 @ X448))|~(X447 @ X448)))&(((X452)!=(esk22_1 @ X447))|(X447 @ X452)|(((X448)!=(esk21_2 @ X447 @ X448))|~(X447 @ X448)))))&((((X453)=(emptyset))|(in @ (esk23_1 @ X453) @ X453))&((~(in @ X455 @ (setadjoin @ X456 @ emptyset))|((X455)=(X456)))&((((X457)=(X458))|~(in @ X458 @ (setadjoin @ X457 @ emptyset)))&((((X459)!=(X460))|(in @ X459 @ (setadjoin @ X460 @ emptyset)))&((~(in @ X461 @ (setadjoin @ X462 @ emptyset))|(in @ X462 @ (setadjoin @ X461 @ emptyset)))&((~(in @ X465 @ (setadjoin @ X463 @ (setadjoin @ X464 @ emptyset)))|(((X465)=(X463))|((X465)=(X464))))&((in @ X466 @ (setadjoin @ X466 @ (setadjoin @ X467 @ emptyset)))&((in @ X469 @ (setadjoin @ X468 @ (setadjoin @ X469 @ emptyset)))&((~(in @ X472 @ X470)|~(X471 @ X472)|((dsetconstr @ X470 @ (^[Z0:$i]:((X471 @ Z0))))!=(emptyset)))&((~(in @ X474 @ emptyset)|(X473 @ X474))&((((in @ (esk24_2 @ X475 @ X476) @ X475)|(~(in @ X477 @ X475)|(X476 @ X477)))&(~(X476 @ (esk24_2 @ X475 @ X476))|(~(in @ X477 @ X475)|(X476 @ X477))))&((((in @ (esk25_2 @ X479 @ X480) @ X479)|(~(in @ X482 @ X479)|~(X480 @ X482)))&((X480 @ (esk25_2 @ X479 @ X480))|(~(in @ X482 @ X479)|~(X480 @ X482))))&((((in @ (esk26_2 @ X483 @ X484) @ X483)|(~(in @ X486 @ X483)|~(X484 @ X486)))&((X484 @ (esk26_2 @ X483 @ X484))|(~(in @ X486 @ X483)|~(X484 @ X486))))&(((in @ esk28_0 @ esk27_0)&~(epred2_0 @ esk28_0))&(~(in @ X490 @ esk27_0)|(epred2_0 @ X490))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])])])])])).
% 0.21/0.28 thf(c_0_85, negated_conjecture, ![X2:$i]:(((epred2_0 @ X2)|~((in @ X2 @ esk27_0)))), inference(split_conjunct,[status(thm)],[c_0_84])).
% 0.21/0.28 thf(c_0_86, negated_conjecture, (in @ esk28_0 @ esk27_0), inference(split_conjunct,[status(thm)],[c_0_84])).
% 0.21/0.28 thf(c_0_87, negated_conjecture, ~((epred2_0 @ esk28_0)), inference(split_conjunct,[status(thm)],[c_0_84])).
% 0.21/0.28 thf(c_0_88, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_87]), ['proof']).
% 0.21/0.28 % SZS output end CNFRefutation
% 0.21/0.28 % Parsed axioms : 125
% 0.21/0.28 % Removed by relevancy pruning/SinE : 67
% 0.21/0.28 % Initial clauses : 109
% 0.21/0.28 % Removed in clause preprocessing : 4
% 0.21/0.28 % Initial clauses in saturation : 105
% 0.21/0.28 % Processed clauses : 12
% 0.21/0.28 % ...of these trivial : 1
% 0.21/0.28 % ...subsumed : 3
% 0.21/0.28 % ...remaining for further processing : 8
% 0.21/0.28 % Other redundant clauses eliminated : 0
% 0.21/0.28 % Clauses deleted for lack of memory : 0
% 0.21/0.28 % Backward-subsumed : 0
% 0.21/0.28 % Backward-rewritten : 0
% 0.21/0.28 % Generated clauses : 1
% 0.21/0.28 % ...of the previous two non-redundant : 0
% 0.21/0.28 % ...aggressively subsumed : 0
% 0.21/0.28 % Contextual simplify-reflections : 0
% 0.21/0.28 % Paramodulations : 1
% 0.21/0.28 % Factorizations : 0
% 0.21/0.28 % NegExts : 0
% 0.21/0.28 % Equation resolutions : 0
% 0.21/0.28 % Disequality decompositions : 0
% 0.21/0.28 % Total rewrite steps : 1
% 0.21/0.28 % ...of those cached : 0
% 0.21/0.28 % Propositional unsat checks : 0
% 0.21/0.28 % Propositional check models : 0
% 0.21/0.28 % Propositional check unsatisfiable : 0
% 0.21/0.28 % Propositional clauses : 0
% 0.21/0.28 % Propositional clauses after purity: 0
% 0.21/0.28 % Propositional unsat core size : 0
% 0.21/0.28 % Propositional preprocessing time : 0.000
% 0.21/0.28 % Propositional encoding time : 0.000
% 0.21/0.28 % Propositional solver time : 0.000
% 0.21/0.28 % Success case prop preproc time : 0.000
% 0.21/0.28 % Success case prop encoding time : 0.000
% 0.21/0.28 % Success case prop solver time : 0.000
% 0.21/0.28 % Current number of processed clauses : 8
% 0.21/0.28 % Positive orientable unit clauses : 5
% 0.21/0.28 % Positive unorientable unit clauses: 0
% 0.21/0.28 % Negative unit clauses : 2
% 0.21/0.28 % Non-unit-clauses : 1
% 0.21/0.28 % Current number of unprocessed clauses: 93
% 0.21/0.28 % ...number of literals in the above : 288
% 0.21/0.28 % Current number of archived formulas : 0
% 0.21/0.28 % Current number of archived clauses : 0
% 0.21/0.28 % Clause-clause subsumption calls (NU) : 0
% 0.21/0.28 % Rec. Clause-clause subsumption calls : 0
% 0.21/0.28 % Non-unit clause-clause subsumptions : 0
% 0.21/0.28 % Unit Clause-clause subsumption calls : 0
% 0.21/0.28 % Rewrite failures with RHS unbound : 0
% 0.21/0.28 % BW rewrite match attempts : 0
% 0.21/0.28 % BW rewrite match successes : 0
% 0.21/0.28 % Condensation attempts : 0
% 0.21/0.28 % Condensation successes : 0
% 0.21/0.28 % Termbank termtop insertions : 12136
% 0.21/0.28 % Search garbage collected termcells : 4695
% 0.21/0.28
% 0.21/0.28 % -------------------------------------------------
% 0.21/0.28 % User time : 0.013 s
% 0.21/0.28 % System time : 0.004 s
% 0.21/0.28 % Total time : 0.017 s
% 0.21/0.28 % Maximum resident set size: 5300 pages
% 0.21/0.28
% 0.21/0.28 % -------------------------------------------------
% 0.21/0.28 % User time : 0.018 s
% 0.21/0.28 % System time : 0.007 s
% 0.21/0.28 % Total time : 0.025 s
% 0.21/0.28 % Maximum resident set size: 4864 pages
% 0.21/0.28 % E exiting
%------------------------------------------------------------------------------