%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU543^1 : 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 : n011.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 08:24:26 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU543^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n011.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 13:49:16 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.24 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.cjGowHeZ6p/E---3.1_126466.p
% 0.22/0.28 % Version: 3.5.1-ho
% 0.22/0.28 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % Starting sh5l with 300s (1) cores
% 0.22/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.28 % Starting new_bool_2 with 300s (1) cores
% 0.22/0.28 % new_bool_2 with pid 126502 completed with status 0
% 0.22/0.28 % Result found by new_bool_2
% 0.22/0.28 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % Starting sh5l with 300s (1) cores
% 0.22/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.28 % Starting new_bool_2 with 300s (1) cores
% 0.22/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.28 % Search class: HGHSM-FFMM31-SHSSMSBN
% 0.22/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.28 % SubtermCWHack with pid 126504 completed with status 0
% 0.22/0.28 % Result found by SubtermCWHack
% 0.22/0.28 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % Starting sh5l with 300s (1) cores
% 0.22/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.28 % Starting new_bool_2 with 300s (1) cores
% 0.22/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.28 % Search class: HGHSM-FFMM31-SHSSMSBN
% 0.22/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.28 % Preprocessing time : 0.003 s
% 0.22/0.28
% 0.22/0.28 % Proof found!
% 0.22/0.28 % SZS status Theorem
% 0.22/0.28 % SZS output start CNFRefutation
% 0.22/0.28 thf(decl_23, type, in: $i > $i > $o).
% 0.22/0.28 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.22/0.28 thf(decl_25, type, setextAx: $o).
% 0.22/0.28 thf(decl_26, type, emptyset: $i).
% 0.22/0.28 thf(decl_27, type, emptysetAx: $o).
% 0.22/0.28 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.22/0.28 thf(decl_29, type, setadjoinAx: $o).
% 0.22/0.28 thf(decl_30, type, powerset: $i > $i).
% 0.22/0.28 thf(decl_31, type, powersetAx: $o).
% 0.22/0.28 thf(decl_32, type, setunion: $i > $i).
% 0.22/0.28 thf(decl_33, type, setunionAx: $o).
% 0.22/0.28 thf(decl_34, type, omega: $i).
% 0.22/0.28 thf(decl_35, type, omega0Ax: $o).
% 0.22/0.28 thf(decl_36, type, omegaSAx: $o).
% 0.22/0.28 thf(decl_37, type, omegaIndAx: $o).
% 0.22/0.28 thf(decl_38, type, replAx: $o).
% 0.22/0.28 thf(decl_39, type, foundationAx: $o).
% 0.22/0.28 thf(decl_40, type, wellorderingAx: $o).
% 0.22/0.28 thf(decl_42, type, descrp: $o).
% 0.22/0.28 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.28 thf(decl_44, type, dsetconstrI: $o).
% 0.22/0.28 thf(decl_45, type, dsetconstrEL: $o).
% 0.22/0.28 thf(decl_46, type, dsetconstrER: $o).
% 0.22/0.28 thf(decl_47, type, exuE1: $o).
% 0.22/0.28 thf(decl_48, type, prop2set: $o > $i).
% 0.22/0.28 thf(decl_49, type, prop2setE: $o).
% 0.22/0.28 thf(decl_50, type, emptysetE: $o).
% 0.22/0.28 thf(decl_51, type, emptysetimpfalse: $o).
% 0.22/0.28 thf(decl_52, type, notinemptyset: $o).
% 0.22/0.28 thf(decl_53, type, exuE3e: $o).
% 0.22/0.28 thf(decl_54, type, setext: $o).
% 0.22/0.28 thf(decl_55, type, emptyI: $o).
% 0.22/0.28 thf(decl_56, type, noeltsimpempty: $o).
% 0.22/0.28 thf(decl_57, type, setbeta: $o).
% 0.22/0.28 thf(decl_58, type, nonempty: $i > $o).
% 0.22/0.28 thf(decl_59, type, nonemptyE1: $o).
% 0.22/0.28 thf(decl_60, type, nonemptyI: $o).
% 0.22/0.28 thf(decl_61, type, nonemptyI1: $o).
% 0.22/0.28 thf(decl_62, type, setadjoinIL: $o).
% 0.22/0.28 thf(decl_63, type, emptyinunitempty: $o).
% 0.22/0.28 thf(decl_64, type, setadjoinIR: $o).
% 0.22/0.28 thf(decl_65, type, setadjoinE: $o).
% 0.22/0.28 thf(decl_66, type, setadjoinOr: $o).
% 0.22/0.28 thf(decl_67, type, setoftrueEq: $o).
% 0.22/0.28 thf(decl_68, type, powersetI: $o).
% 0.22/0.28 thf(decl_69, type, emptyinPowerset: $o).
% 0.22/0.28 thf(decl_70, type, emptyInPowerset: $o).
% 0.22/0.28 thf(decl_71, type, powersetE: $o).
% 0.22/0.28 thf(decl_72, type, setunionI: $o).
% 0.22/0.28 thf(decl_73, type, setunionE: $o).
% 0.22/0.28 thf(decl_74, type, subPowSU: $o).
% 0.22/0.28 thf(decl_75, type, exuE2: $o).
% 0.22/0.28 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.22/0.28 thf(decl_77, type, uniqinunit: $o).
% 0.22/0.28 thf(decl_78, type, notinsingleton: $o).
% 0.22/0.28 thf(decl_79, type, eqinunit: $o).
% 0.22/0.28 thf(decl_80, type, singletonsswitch: $o).
% 0.22/0.28 thf(decl_81, type, upairsetE: $o).
% 0.22/0.28 thf(decl_82, type, upairsetIL: $o).
% 0.22/0.28 thf(decl_83, type, upairsetIR: $o).
% 0.22/0.28 thf(decl_84, type, emptyE1: $o).
% 0.22/0.28 thf(decl_85, type, vacuousDall: $o).
% 0.22/0.28 thf(decl_86, type, quantDeMorgan1: $o).
% 0.22/0.28 thf(decl_87, type, quantDeMorgan2: $o).
% 0.22/0.28 thf(decl_88, type, quantDeMorgan3: $o).
% 0.22/0.28 thf(decl_89, type, quantDeMorgan4: $o).
% 0.22/0.28 thf(decl_90, type, prop2setI: $o).
% 0.22/0.28 thf(decl_92, type, prop2set2propI: $o).
% 0.22/0.28 thf(decl_93, type, notdexE: $o).
% 0.22/0.28 thf(decl_94, type, epred1_0: $o).
% 0.22/0.28 thf(decl_95, type, esk1_2: $i > $i > $i).
% 0.22/0.28 thf(decl_96, type, esk2_2: $i > $i > $i).
% 0.22/0.28 thf(decl_97, type, esk3_2: $i > $i > $i).
% 0.22/0.28 thf(decl_98, type, esk4_1: $i > $i).
% 0.22/0.28 thf(decl_99, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.22/0.28 thf(decl_100, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.28 thf(decl_101, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.22/0.28 thf(decl_102, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.28 thf(decl_103, type, esk9_1: $i > $i).
% 0.22/0.28 thf(decl_104, type, esk10_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_105, type, esk11_1: ($i > $o) > $i).
% 0.22/0.28 thf(decl_106, type, esk12_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_107, type, esk13_1: ($i > $o) > $i).
% 0.22/0.28 thf(decl_108, type, esk14_2: $i > $i > $i).
% 0.22/0.28 thf(decl_109, type, esk15_2: $i > $i > $i).
% 0.22/0.28 thf(decl_110, type, esk16_1: $i > $i).
% 0.22/0.28 thf(decl_111, type, esk17_1: $i > $i).
% 0.22/0.28 thf(decl_112, type, esk18_1: $i > $i).
% 0.22/0.28 thf(decl_113, type, esk19_2: $i > $i > $i).
% 0.22/0.28 thf(decl_114, type, esk20_3: $i > $i > $o > $i).
% 0.22/0.28 thf(decl_115, type, esk21_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_116, type, esk22_1: ($i > $o) > $i).
% 0.22/0.28 thf(decl_117, type, esk23_1: $i > $i).
% 0.22/0.28 thf(decl_118, type, esk24_2: $i > ($i > $o) > $i).
% 0.22/0.28 thf(decl_119, type, esk25_2: $i > ($i > $o) > $i).
% 0.22/0.28 thf(decl_120, type, esk26_2: $i > ($i > $o) > $i).
% 0.22/0.28 thf(decl_121, type, esk27_2: $i > ($i > $o) > $i).
% 0.22/0.28 thf(decl_122, type, esk28_2: $i > ($i > $o) > $i).
% 0.22/0.28 thf(decl_123, type, esk29_0: $i).
% 0.22/0.28 thf(decl_124, type, epred2_0: $i > $o).
% 0.22/0.28 thf(decl_125, type, esk30_0: $i).
% 0.22/0.28 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', nonempty)).
% 0.22/0.28 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', replAx)).
% 0.22/0.28 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', exu)).
% 0.22/0.28 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', exuE3e)).
% 0.22/0.28 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', exuE1)).
% 0.22/0.28 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', nonemptyI)).
% 0.22/0.28 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', exuE2)).
% 0.22/0.28 thf(notdallE, 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)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', notdallE)).
% 0.22/0.28 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.cjGowHeZ6p/E---3.1_126466.p', emptyE1)).
% 0.22/0.28 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', nonemptyI1)).
% 0.22/0.28 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', dsetconstrEL)).
% 0.22/0.28 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', dsetconstrI)).
% 0.22/0.28 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', dsetconstrER)).
% 0.22/0.28 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', nonemptyE1)).
% 0.22/0.28 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setbeta)).
% 0.22/0.28 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setoftrueEq)).
% 0.22/0.28 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', nonemptyImpWitness)).
% 0.22/0.28 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', notinsingleton)).
% 0.22/0.28 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', uniqinunit)).
% 0.22/0.28 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', eqinunit)).
% 0.22/0.28 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', singletonsswitch)).
% 0.22/0.28 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setunionAx)).
% 0.22/0.28 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', upairsetE)).
% 0.22/0.28 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', powersetAx)).
% 0.22/0.28 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', upairsetIL)).
% 0.22/0.28 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setadjoinAx)).
% 0.22/0.28 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', upairsetIR)).
% 0.22/0.28 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', emptysetAx)).
% 0.22/0.28 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', omega0Ax)).
% 0.22/0.28 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', vacuousDall)).
% 0.22/0.28 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', quantDeMorgan1)).
% 0.22/0.28 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', quantDeMorgan2)).
% 0.22/0.28 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', quantDeMorgan3)).
% 0.22/0.28 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', quantDeMorgan4)).
% 0.22/0.28 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', prop2setI)).
% 0.22/0.28 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', notdexE)).
% 0.22/0.28 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setadjoinIL)).
% 0.22/0.28 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.cjGowHeZ6p/E---3.1_126466.p', wellorderingAx)).
% 0.22/0.28 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.cjGowHeZ6p/E---3.1_126466.p', foundationAx)).
% 0.22/0.28 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', omegaIndAx)).
% 0.22/0.28 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', omegaSAx)).
% 0.22/0.28 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.cjGowHeZ6p/E---3.1_126466.p', setext)).
% 0.22/0.28 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', notinemptyset)).
% 0.22/0.28 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', emptysetimpfalse)).
% 0.22/0.28 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', emptysetE)).
% 0.22/0.28 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', prop2setE)).
% 0.22/0.28 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', emptyI)).
% 0.22/0.28 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', emptyinunitempty)).
% 0.22/0.28 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', noeltsimpempty)).
% 0.22/0.28 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setadjoinIR)).
% 0.22/0.28 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', powersetE)).
% 0.22/0.28 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', emptyInPowerset)).
% 0.22/0.28 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', emptyinPowerset)).
% 0.22/0.28 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', powersetI)).
% 0.22/0.28 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setadjoinOr)).
% 0.22/0.28 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setadjoinE)).
% 0.22/0.28 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setunionE)).
% 0.22/0.28 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', subPowSU)).
% 0.22/0.28 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setunionI)).
% 0.22/0.28 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.cjGowHeZ6p/E---3.1_126466.p', setextAx)).
% 0.22/0.28 thf(c_0_60, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.22/0.28 thf(c_0_61, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.22/0.28 thf(c_0_62, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.22/0.28 thf(c_0_63, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.22/0.28 thf(c_0_64, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.22/0.28 thf(c_0_65, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.22/0.28 thf(c_0_66, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.22/0.28 thf(c_0_67, 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)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[notdallE])).
% 0.22/0.28 thf(c_0_68, plain, ((emptyE1)<=>![X4:$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])).
% 0.22/0.28 thf(c_0_69, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_60])).
% 0.22/0.28 thf(c_0_70, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.22/0.28 thf(c_0_71, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.22/0.28 thf(c_0_72, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X181:$i]:(((((X6 @ X2 @ X181)))&(![X182:$i]:(((((X6 @ X2 @ X182)))=>(((X181)=(X182)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_61, c_0_62])).
% 0.22/0.28 thf(c_0_73, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.22/0.28 thf(c_0_74, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X185:$i]:(((((X1 @ X185)))&(![X186:$i]:(((((X1 @ X186)))=>(((X185)=(X186))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_63, c_0_62])).
% 0.22/0.28 thf(c_0_75, plain, ((exuE1)=(![X1:$i > $o]:((((?[X183:$i]:(((((X1 @ X183)))&(![X184:$i]:(((((X1 @ X184)))=>(((X183)=(X184))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_64, c_0_62])).
% 0.22/0.28 thf(c_0_76, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_65, c_0_60])).
% 0.22/0.28 thf(c_0_77, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_60])).
% 0.22/0.28 thf(c_0_78, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.22/0.28 thf(c_0_79, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.22/0.28 thf(c_0_80, plain, ((exuE2)=(![X1:$i > $o]:((((?[X187:$i]:(((((X1 @ X187)))&(![X188:$i]:(((((X1 @ X188)))=>(((X187)=(X188))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_66, c_0_62])).
% 0.22/0.28 thf(c_0_81, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_60])).
% 0.22/0.28 thf(c_0_82, plain, ((epred1_0)<=>![X218:$i]:(?[X219:$i]:((((![X220:$i]:(((in @ X220 @ X219)=>![X221:$i]:(((in @ X221 @ X220)=>(in @ X221 @ X218)))))&![X222:$i, X223:$i]:((((in @ X222 @ X218)&(in @ X223 @ X218))=>(![X224:$i]:(((in @ X224 @ X219)=>((in @ X222 @ X224)<=>(in @ X223 @ X224))))=>((X222)=(X223))))))&![X225:$i, X226:$i]:((((in @ X225 @ X219)&(in @ X226 @ X219))=>(![X227:$i]:(((in @ X227 @ X225)=>(in @ X227 @ X226)))|![X228:$i]:(((in @ X228 @ X226)=>(in @ X228 @ X225)))))))&![X229:$i]:(((![X230:$i]:(((in @ X230 @ X229)=>(in @ X230 @ X218)))&?[X231:$i]:((in @ X231 @ X229)))=>?[X232:$i, X233:$i]:(((((in @ X232 @ X219)&(in @ X233 @ X229))&~(?[X234:$i]:(((in @ X234 @ X232)&(in @ X234 @ X229)))))&![X235:$i]:(((in @ X235 @ X219)=>(![X236:$i]:(((in @ X236 @ X235)=>(in @ X236 @ X232)))|(in @ X233 @ X235)))))))))))), introduced(definition)).
% 0.22/0.28 thf(c_0_83, negated_conjecture, ~((![X189:$i, X190:$i]:((![X191:$i]:(((in @ X191 @ X189)<=>(in @ X191 @ X190)))=>((X189)=(X190))))=>(![X192:$i]:(~(in @ X192 @ emptyset))=>(![X193:$i, X194:$i, X195:$i]:(((in @ X195 @ (setadjoin @ X193 @ X194))<=>(((X195)=(X193))|(in @ X195 @ X194))))=>(![X196:$i, X197:$i]:(((in @ X197 @ (powerset @ X196))<=>![X198:$i]:(((in @ X198 @ X197)=>(in @ X198 @ X196)))))=>(![X199:$i, X200:$i]:(((in @ X200 @ (setunion @ X199))<=>?[X201:$i]:(((in @ X200 @ X201)&(in @ X201 @ X199)))))=>((in @ emptyset @ omega)=>(![X202:$i]:(((in @ X202 @ omega)=>(in @ (setadjoin @ X202 @ X202) @ omega)))=>(![X203:$i]:((((in @ emptyset @ X203)&![X204:$i]:((((in @ X204 @ omega)&(in @ X204 @ X203))=>(in @ (setadjoin @ X204 @ X204) @ X203))))=>![X205:$i]:(((in @ X205 @ omega)=>(in @ X205 @ X203)))))=>(![X206:$i > $i > $o, X207:$i]:((![X208:$i]:(((in @ X208 @ X207)=>?[X209:$i]:(((X206 @ X208 @ X209)&![X210:$i]:(((X206 @ X208 @ X210)=>((X209)=(X210))))))))=>?[X211:$i]:(![X212:$i]:(((in @ X212 @ X211)<=>?[X213:$i]:(((in @ X213 @ X207)&(X206 @ X213 @ X212))))))))=>(![X214:$i]:((?[X215:$i]:((in @ X215 @ X214))=>?[X216:$i]:(((in @ X216 @ X214)&~(?[X217:$i]:(((in @ X217 @ X216)&(in @ X217 @ X214))))))))=>((epred1_0)=>((descrp)=>(![X237:$i, X238:$i > $o, X239:$i]:(((in @ X239 @ X237)=>((X238 @ X239)=>(in @ X239 @ (dsetconstr @ X237 @ (^[Z0:$i]:((X238 @ Z0))))))))=>(![X240:$i, X241:$i > $o, X242:$i]:(((in @ X242 @ (dsetconstr @ X240 @ (^[Z0:$i]:((X241 @ Z0)))))=>(in @ X242 @ X240)))=>(![X243:$i, X244:$i > $o, X245:$i]:(((in @ X245 @ (dsetconstr @ X243 @ (^[Z0:$i]:((X244 @ Z0)))))=>(X244 @ X245)))=>(![X246:$i > $o]:((?[X247:$i]:(((X246 @ X247)&![X248:$i]:(((X246 @ X248)=>((X247)=(X248))))))=>?[X249:$i]:(((X246 @ X249)&![X250:$i]:(((X246 @ X250)=>((X249)=(X250))))))))=>(![X251:$o, X252:$i]:(((in @ X252 @ (prop2set @ ((X251))))=>(X251)))=>(![X253:$i]:(((in @ X253 @ emptyset)=>![X254:$o]:((X254))))=>(![X255:$i]:(~(in @ X255 @ emptyset))=>(![X256:$i]:(~(in @ X256 @ emptyset))=>(![X257:$i > $o]:((?[X258:$i]:(((X257 @ X258)&![X259:$i]:(((X257 @ X259)=>((X258)=(X259))))))=>?[X260:$i]:((X257 @ X260))))=>(![X261:$i, X262:$i]:((![X263:$i]:(((in @ X263 @ X261)=>(in @ X263 @ X262)))=>(![X264:$i]:(((in @ X264 @ X262)=>(in @ X264 @ X261)))=>((X261)=(X262)))))=>(![X265:$i]:((![X266:$i]:(~(in @ X266 @ X265))=>((X265)=(emptyset))))=>(![X267:$i]:((![X268:$i]:(~(in @ X268 @ X267))=>((X267)=(emptyset))))=>(![X269:$i, X270:$i > $o, X271:$i]:(((in @ X271 @ X269)=>((in @ X271 @ (dsetconstr @ X269 @ (^[Z0:$i]:((X270 @ Z0)))))<=>(X270 @ X271))))=>(![X272:$i]:((((X272)!=(emptyset))=>?[X273:$i]:((in @ X273 @ X272))))=>(![X274:$i, X275:$i > $o, X276:$i]:(((in @ X276 @ X274)=>((X275 @ X276)=>((dsetconstr @ X274 @ (^[Z0:$i]:((X275 @ Z0))))!=(emptyset)))))=>(![X277:$i]:((?[X278:$i]:((in @ X278 @ X277))=>((X277)!=(emptyset))))=>(![X279:$i, X280:$i]:((in @ X279 @ (setadjoin @ X279 @ X280)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X281:$i, X282:$i, X283:$i]:(((in @ X283 @ X282)=>(in @ X283 @ (setadjoin @ X281 @ X282))))=>(![X284:$i, X285:$i, X286:$i]:(((in @ X286 @ (setadjoin @ X284 @ X285))=>![X287:$o]:(((((X286)=(X284))=>(X287))=>(((in @ X286 @ X285)=>(X287))=>(X287))))))=>(![X288:$i, X289:$i, X290:$i]:(((in @ X290 @ (setadjoin @ X288 @ X289))=>(((X290)=(X288))|(in @ X290 @ X289))))=>(![X291:$i]:(((dsetconstr @ X291 @ (^[Z0:$i]:(($true))))=(X291)))=>(![X292:$i, X293:$i]:((![X294:$i]:(((in @ X294 @ X293)=>(in @ X294 @ X292)))=>(in @ X293 @ (powerset @ X292))))=>(![X295:$i]:((in @ emptyset @ (powerset @ X295)))=>(![X296:$i]:((in @ emptyset @ (powerset @ X296)))=>(![X297:$i, X298:$i, X299:$i]:(((in @ X298 @ (powerset @ X297))=>((in @ X299 @ X298)=>(in @ X299 @ X297))))=>(![X300:$i, X301:$i, X302:$i]:(((in @ X301 @ X302)=>((in @ X302 @ X300)=>(in @ X301 @ (setunion @ X300)))))=>(![X303:$i, X304:$i]:(((in @ X304 @ (setunion @ X303))=>![X305:$o]:((![X306:$i]:(((in @ X304 @ X306)=>((in @ X306 @ X303)=>(X305))))=>(X305)))))=>(![X307:$i, X308:$i]:(((in @ X308 @ X307)=>(in @ X308 @ (powerset @ (setunion @ X307)))))=>(![X309:$i > $o]:((?[X310:$i]:(((X309 @ X310)&![X311:$i]:(((X309 @ X311)=>((X310)=(X311))))))=>?[X312:$i]:(![X313:$i]:(((X309 @ X313)<=>((X313)=(X312)))))))=>(![X314:$i]:((((X314)!=(emptyset))=>?[X315:$i]:((in @ X315 @ X314))))=>(![X316:$i, X317:$i]:(((in @ X316 @ (setadjoin @ X317 @ emptyset))=>((X316)=(X317))))=>(![X318:$i, X319:$i]:((((X318)!=(X319))=>~(in @ X319 @ (setadjoin @ X318 @ emptyset))))=>(![X320:$i, X321:$i]:((((X320)=(X321))=>(in @ X320 @ (setadjoin @ X321 @ emptyset))))=>(![X322:$i, X323:$i]:(((in @ X322 @ (setadjoin @ X323 @ emptyset))=>(in @ X323 @ (setadjoin @ X322 @ emptyset))))=>(![X324:$i, X325:$i, X326:$i]:(((in @ X326 @ (setadjoin @ X324 @ (setadjoin @ X325 @ emptyset)))=>(((X326)=(X324))|((X326)=(X325)))))=>(![X327:$i, X328:$i]:((in @ X327 @ (setadjoin @ X327 @ (setadjoin @ X328 @ emptyset))))=>(![X329:$i, X330:$i]:((in @ X330 @ (setadjoin @ X329 @ (setadjoin @ X330 @ emptyset))))=>(![X331:$i, X332:$i > $o]:((?[X333:$i]:(((in @ X333 @ X331)&(X332 @ X333)))=>((dsetconstr @ X331 @ (^[Z0:$i]:((X332 @ Z0))))!=(emptyset))))=>(![X334:$i > $o, X335:$i]:(((in @ X335 @ emptyset)=>(X334 @ X335)))=>(![X336:$i, X337:$i > $o]:((~(![X338:$i]:(((in @ X338 @ X336)=>(X337 @ X338))))=>?[X339:$i]:(((in @ X339 @ X336)&~(X337 @ X339)))))=>(![X340:$i, X341:$i > $o]:((![X342:$i]:(((in @ X342 @ X340)=>~(X341 @ X342)))=>~(?[X343:$i]:(((in @ X343 @ X340)&(X341 @ X343))))))=>(![X344:$i, X345:$i > $o]:((~(?[X346:$i]:(((in @ X346 @ X344)&(X345 @ X346))))=>![X347:$i]:(((in @ X347 @ X344)=>~(X345 @ X347)))))=>(![X348:$i, X349:$i > $o]:((?[X350:$i]:(((in @ X350 @ X348)&~(X349 @ X350)))=>~(![X351:$i]:(((in @ X351 @ X348)=>(X349 @ X351))))))=>(![X352:$o]:(((X352)=>(in @ emptyset @ (prop2set @ ((X352))))))=>((prop2set2propI)=>(![X353:$i, X354:$i > $o]:((~(?[X355:$i]:(((in @ X355 @ X353)&(X354 @ X355))))=>![X356:$i]:(((in @ X356 @ X353)=>~(X354 @ X356)))))=>![X4:$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)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_67, notinsingleton]), uniqinunit]), eqinunit]), singletonsswitch]), setunionAx]), upairsetE]), powersetAx]), upairsetIL]), setadjoinAx]), upairsetIR]), emptysetAx]), c_0_68]), omega0Ax]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), notdexE]), setadjoinIL]), c_0_69]), c_0_70]), c_0_71]), wellorderingAx]), foundationAx]), c_0_72]), omegaIndAx]), omegaSAx]), c_0_73]), setext]), c_0_74]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_75]), emptyI]), emptyinunitempty]), c_0_76]), c_0_77]), c_0_78]), noeltsimpempty]), setadjoinIR]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_79]), setadjoinOr]), setadjoinE]), setunionE]), subPowSU]), c_0_80]), c_0_81]), setunionI]), setextAx])]), c_0_82])).
% 0.22/0.28 thf(c_0_84, negated_conjecture, ![X357:$i, X358:$i, X360:$i, X361:$i, X362:$i, X363:$i, X364:$i, X365:$i, X366:$i, X367:$i, X368:$i, X370:$i, X371:$i, X373:$i, X374:$i, X375:$i, X376:$i, X377:$i, X379:$i, X380:$i > $i > $o, X381:$i, X383:$i, X386:$i, X388:$i, X389:$i, X390:$i, X391:$i, X393:$i, X394:$i, X395:$i > $o, X396:$i, X397:$i, X398:$i > $o, X399:$i, X400:$i, X401:$i > $o, X402:$i, X403:$i > $o, X404:$i, X407:$i, X408:$o, X409:$i, X410:$i, X411:$o, X412:$i, X413:$i, X414:$i > $o, X415:$i, X418:$i, X419:$i, X422:$i, X424:$i, X426:$i, X427:$i > $o, X428:$i, X429:$i, X431:$i, X432:$i > $o, X433:$i, X434:$i, X435:$i, X436:$i, X437:$i, X438:$i, X439:$i, X440:$i, X441:$i, X442:$i, X443:$i, X444:$o, X445:$i, X446:$i, X447:$i, X448:$i, X449:$i, X450:$i, X452:$i, X453:$i, X454:$i, X455:$i, X456:$i, X457:$i, X458:$i, X459:$i, X460:$i, X461:$i, X462:$o, X464:$i, X465:$i, X466:$i > $o, X467:$i, X470:$i, X471:$i, X472:$i, X474:$i, X475:$i, X476:$i, X477:$i, X478:$i, X479:$i, X480:$i, X481:$i, X482:$i, X483:$i, X484:$i, X485:$i, X486:$i, X487:$i, X488:$i, X489:$i, X490:$i > $o, X491:$i, X492:$i > $o, X493:$i, X494:$i, X495:$i > $o, X496:$i, X498:$i, X499:$i > $o, X501:$i, X502:$i, X503:$i > $o, X505:$i, X506:$i, X507:$i > $o, X508:$i, X510:$o, X511:$i, X512:$i > $o, X514:$i, X518:$i]:((((~(in @ (esk1_2 @ X357 @ X358) @ X357)|~(in @ (esk1_2 @ X357 @ X358) @ X358)|((X357)=(X358)))&((in @ (esk1_2 @ X357 @ X358) @ X357)|(in @ (esk1_2 @ X357 @ X358) @ X358)|((X357)=(X358))))&(~(in @ X360 @ emptyset)&(((~(in @ X363 @ (setadjoin @ X361 @ X362))|(((X363)=(X361))|(in @ X363 @ X362)))&((((X363)!=(X361))|(in @ X363 @ (setadjoin @ X361 @ X362)))&(~(in @ X363 @ X362)|(in @ X363 @ (setadjoin @ X361 @ X362)))))&(((~(in @ X365 @ (powerset @ X364))|(~(in @ X366 @ X365)|(in @ X366 @ X364)))&(((in @ (esk2_2 @ X367 @ X368) @ X368)|(in @ X368 @ (powerset @ X367)))&(~(in @ (esk2_2 @ X367 @ X368) @ X367)|(in @ X368 @ (powerset @ X367)))))&(((((in @ X371 @ (esk3_2 @ X370 @ X371))|~(in @ X371 @ (setunion @ X370)))&((in @ (esk3_2 @ X370 @ X371) @ X370)|~(in @ X371 @ (setunion @ X370))))&(~(in @ X374 @ X375)|~(in @ X375 @ X373)|(in @ X374 @ (setunion @ X373))))&((in @ emptyset @ omega)&((~(in @ X376 @ omega)|(in @ (setadjoin @ X376 @ X376) @ omega))&(((((in @ (esk4_1 @ X377) @ omega)|~(in @ emptyset @ X377)|(~(in @ X379 @ omega)|(in @ X379 @ X377)))&((in @ (esk4_1 @ X377) @ X377)|~(in @ emptyset @ X377)|(~(in @ X379 @ omega)|(in @ X379 @ X377))))&(~(in @ (setadjoin @ (esk4_1 @ X377) @ (esk4_1 @ X377)) @ X377)|~(in @ emptyset @ X377)|(~(in @ X379 @ omega)|(in @ X379 @ X377))))&((((((in @ (esk8_3 @ X380 @ X381 @ X386) @ X381)|~(in @ X386 @ (esk7_2 @ X380 @ X381))|(in @ (esk5_2 @ X380 @ X381) @ X381))&((X380 @ (esk8_3 @ X380 @ X381 @ X386) @ X386)|~(in @ X386 @ (esk7_2 @ X380 @ X381))|(in @ (esk5_2 @ X380 @ X381) @ X381)))&(~(in @ X389 @ X381)|~(X380 @ X389 @ X388)|(in @ X388 @ (esk7_2 @ X380 @ X381))|(in @ (esk5_2 @ X380 @ X381) @ X381)))&(((((in @ (esk8_3 @ X380 @ X381 @ X386) @ X381)|~(in @ X386 @ (esk7_2 @ X380 @ X381))|((X380 @ (esk5_2 @ X380 @ X381) @ (esk6_3 @ X380 @ X381 @ X383))|~(X380 @ (esk5_2 @ X380 @ X381) @ X383)))&((X380 @ (esk8_3 @ X380 @ X381 @ X386) @ X386)|~(in @ X386 @ (esk7_2 @ X380 @ X381))|((X380 @ (esk5_2 @ X380 @ X381) @ (esk6_3 @ X380 @ X381 @ X383))|~(X380 @ (esk5_2 @ X380 @ X381) @ X383))))&(~(in @ X389 @ X381)|~(X380 @ X389 @ X388)|(in @ X388 @ (esk7_2 @ X380 @ X381))|((X380 @ (esk5_2 @ X380 @ X381) @ (esk6_3 @ X380 @ X381 @ X383))|~(X380 @ (esk5_2 @ X380 @ X381) @ X383))))&((((in @ (esk8_3 @ X380 @ X381 @ X386) @ X381)|~(in @ X386 @ (esk7_2 @ X380 @ X381))|(((X383)!=(esk6_3 @ X380 @ X381 @ X383))|~(X380 @ (esk5_2 @ X380 @ X381) @ X383)))&((X380 @ (esk8_3 @ X380 @ X381 @ X386) @ X386)|~(in @ X386 @ (esk7_2 @ X380 @ X381))|(((X383)!=(esk6_3 @ X380 @ X381 @ X383))|~(X380 @ (esk5_2 @ X380 @ X381) @ X383))))&(~(in @ X389 @ X381)|~(X380 @ X389 @ X388)|(in @ X388 @ (esk7_2 @ X380 @ X381))|(((X383)!=(esk6_3 @ X380 @ X381 @ X383))|~(X380 @ (esk5_2 @ X380 @ X381) @ X383))))))&((((in @ (esk9_1 @ X390) @ X390)|~(in @ X391 @ X390))&(~(in @ X393 @ (esk9_1 @ X390))|~(in @ X393 @ X390)|~(in @ X391 @ X390)))&((epred1_0)&((descrp)&((~(in @ X396 @ X394)|(~(X395 @ X396)|(in @ X396 @ (dsetconstr @ X394 @ (^[Z0:$i]:((X395 @ Z0)))))))&((~(in @ X399 @ (dsetconstr @ X397 @ (^[Z0:$i]:((X398 @ Z0)))))|(in @ X399 @ X397))&((~(in @ X402 @ (dsetconstr @ X400 @ (^[Z0:$i]:((X401 @ Z0)))))|(X401 @ X402))&(((((X403 @ (esk11_1 @ X403))|((X403 @ (esk10_2 @ X403 @ X404))|~(X403 @ X404)))&(~(X403 @ X407)|((esk11_1 @ X403)=(X407))|((X403 @ (esk10_2 @ X403 @ X404))|~(X403 @ X404))))&(((X403 @ (esk11_1 @ X403))|(((X404)!=(esk10_2 @ X403 @ X404))|~(X403 @ X404)))&(~(X403 @ X407)|((esk11_1 @ X403)=(X407))|(((X404)!=(esk10_2 @ X403 @ X404))|~(X403 @ X404)))))&((~(in @ X409 @ (prop2set @ ((X408))))|(X408))&((~(in @ X410 @ emptyset)|(X411))&(~(in @ X412 @ emptyset)&(~(in @ X413 @ emptyset)&((((X414 @ (esk12_2 @ X414 @ X415))|~(X414 @ X415)|(X414 @ (esk13_1 @ X414)))&(((X415)!=(esk12_2 @ X414 @ X415))|~(X414 @ X415)|(X414 @ (esk13_1 @ X414))))&(((((in @ (esk15_2 @ X418 @ X419) @ X419)|((X418)=(X419))|(in @ (esk14_2 @ X418 @ X419) @ X418))&(~(in @ (esk15_2 @ X418 @ X419) @ X418)|((X418)=(X419))|(in @ (esk14_2 @ X418 @ X419) @ X418)))&(((in @ (esk15_2 @ X418 @ X419) @ X419)|((X418)=(X419))|~(in @ (esk14_2 @ X418 @ X419) @ X419))&(~(in @ (esk15_2 @ X418 @ X419) @ X418)|((X418)=(X419))|~(in @ (esk14_2 @ X418 @ X419) @ X419))))&(((in @ (esk16_1 @ X422) @ X422)|((X422)=(emptyset)))&(((in @ (esk17_1 @ X424) @ X424)|((X424)=(emptyset)))&(((~(in @ X428 @ (dsetconstr @ X426 @ (^[Z0:$i]:((X427 @ Z0)))))|(X427 @ X428)|~(in @ X428 @ X426))&(~(X427 @ X428)|(in @ X428 @ (dsetconstr @ X426 @ (^[Z0:$i]:((X427 @ Z0)))))|~(in @ X428 @ X426)))&((((X429)=(emptyset))|(in @ (esk18_1 @ X429) @ X429))&((~(in @ X433 @ X431)|(~(X432 @ X433)|((dsetconstr @ X431 @ (^[Z0:$i]:((X432 @ Z0))))!=(emptyset))))&((~(in @ X435 @ X434)|((X434)!=(emptyset)))&((in @ X436 @ (setadjoin @ X436 @ X437))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X440 @ X439)|(in @ X440 @ (setadjoin @ X438 @ X439)))&(((((in @ X443 @ X442)|(X444)|((X443)=(X441))|~(in @ X443 @ (setadjoin @ X441 @ X442)))&(~(X444)|(X444)|((X443)=(X441))|~(in @ X443 @ (setadjoin @ X441 @ X442))))&(((in @ X443 @ X442)|(X444)|~(X444)|~(in @ X443 @ (setadjoin @ X441 @ X442)))&(~(X444)|(X444)|~(X444)|~(in @ X443 @ (setadjoin @ X441 @ X442)))))&((~(in @ X447 @ (setadjoin @ X445 @ X446))|(((X447)=(X445))|(in @ X447 @ X446)))&(((dsetconstr @ X448 @ (^[Z0:$i]:(($true))))=(X448))&((((in @ (esk19_2 @ X449 @ X450) @ X450)|(in @ X450 @ (powerset @ X449)))&(~(in @ (esk19_2 @ X449 @ X450) @ X449)|(in @ X450 @ (powerset @ X449))))&((in @ emptyset @ (powerset @ X452))&((in @ emptyset @ (powerset @ X453))&((~(in @ X455 @ (powerset @ X454))|(~(in @ X456 @ X455)|(in @ X456 @ X454)))&((~(in @ X458 @ X459)|(~(in @ X459 @ X457)|(in @ X458 @ (setunion @ X457))))&((((in @ X461 @ (esk20_3 @ X460 @ X461 @ X462))|(X462)|~(in @ X461 @ (setunion @ X460)))&(((in @ (esk20_3 @ X460 @ X461 @ X462) @ X460)|(X462)|~(in @ X461 @ (setunion @ X460)))&(~(X462)|(X462)|~(in @ X461 @ (setunion @ X460)))))&((~(in @ X465 @ X464)|(in @ X465 @ (powerset @ (setunion @ X464))))&((((~(X466 @ X470)|((X470)=(esk22_1 @ X466))|((X466 @ (esk21_2 @ X466 @ X467))|~(X466 @ X467)))&(((X471)!=(esk22_1 @ X466))|(X466 @ X471)|((X466 @ (esk21_2 @ X466 @ X467))|~(X466 @ X467))))&((~(X466 @ X470)|((X470)=(esk22_1 @ X466))|(((X467)!=(esk21_2 @ X466 @ X467))|~(X466 @ X467)))&(((X471)!=(esk22_1 @ X466))|(X466 @ X471)|(((X467)!=(esk21_2 @ X466 @ X467))|~(X466 @ X467)))))&((((X472)=(emptyset))|(in @ (esk23_1 @ X472) @ X472))&((~(in @ X474 @ (setadjoin @ X475 @ emptyset))|((X474)=(X475)))&((((X476)=(X477))|~(in @ X477 @ (setadjoin @ X476 @ emptyset)))&((((X478)!=(X479))|(in @ X478 @ (setadjoin @ X479 @ emptyset)))&((~(in @ X480 @ (setadjoin @ X481 @ emptyset))|(in @ X481 @ (setadjoin @ X480 @ emptyset)))&((~(in @ X484 @ (setadjoin @ X482 @ (setadjoin @ X483 @ emptyset)))|(((X484)=(X482))|((X484)=(X483))))&((in @ X485 @ (setadjoin @ X485 @ (setadjoin @ X486 @ emptyset)))&((in @ X488 @ (setadjoin @ X487 @ (setadjoin @ X488 @ emptyset)))&((~(in @ X491 @ X489)|~(X490 @ X491)|((dsetconstr @ X489 @ (^[Z0:$i]:((X490 @ Z0))))!=(emptyset)))&((~(in @ X493 @ emptyset)|(X492 @ X493))&((((in @ (esk24_2 @ X494 @ X495) @ X494)|(~(in @ X496 @ X494)|(X495 @ X496)))&(~(X495 @ (esk24_2 @ X494 @ X495))|(~(in @ X496 @ X494)|(X495 @ X496))))&((((in @ (esk25_2 @ X498 @ X499) @ X498)|(~(in @ X501 @ X498)|~(X499 @ X501)))&((X499 @ (esk25_2 @ X498 @ X499))|(~(in @ X501 @ X498)|~(X499 @ X501))))&((((in @ (esk26_2 @ X502 @ X503) @ X502)|(~(in @ X505 @ X502)|~(X503 @ X505)))&((X503 @ (esk26_2 @ X502 @ X503))|(~(in @ X505 @ X502)|~(X503 @ X505))))&((((in @ (esk27_2 @ X506 @ X507) @ X506)|(~(in @ X508 @ X506)|(X507 @ X508)))&(~(X507 @ (esk27_2 @ X506 @ X507))|(~(in @ X508 @ X506)|(X507 @ X508))))&((~(X510)|(in @ emptyset @ (prop2set @ ((X510)))))&((prop2set2propI)&((((in @ (esk28_2 @ X511 @ X512) @ X511)|(~(in @ X514 @ X511)|~(X512 @ X514)))&((X512 @ (esk28_2 @ X511 @ X512))|(~(in @ X514 @ X511)|~(X512 @ X514))))&(((in @ esk30_0 @ esk29_0)&~(epred2_0 @ esk30_0))&(~(in @ X518 @ esk29_0)|(epred2_0 @ X518))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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])])])])])])).
% 0.22/0.28 thf(c_0_85, negated_conjecture, ![X2:$i]:(((epred2_0 @ X2)|~((in @ X2 @ esk29_0)))), inference(split_conjunct,[status(thm)],[c_0_84])).
% 0.22/0.28 thf(c_0_86, negated_conjecture, (in @ esk30_0 @ esk29_0), inference(split_conjunct,[status(thm)],[c_0_84])).
% 0.22/0.28 thf(c_0_87, negated_conjecture, ~((epred2_0 @ esk30_0)), inference(split_conjunct,[status(thm)],[c_0_84])).
% 0.22/0.28 thf(c_0_88, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_87]), ['proof']).
% 0.22/0.28 % SZS output end CNFRefutation
% 0.22/0.28 % Parsed axioms : 133
% 0.22/0.28 % Removed by relevancy pruning/SinE : 73
% 0.22/0.28 % Initial clauses : 115
% 0.22/0.28 % Removed in clause preprocessing : 4
% 0.22/0.28 % Initial clauses in saturation : 111
% 0.22/0.28 % Processed clauses : 15
% 0.22/0.28 % ...of these trivial : 1
% 0.22/0.28 % ...subsumed : 3
% 0.22/0.28 % ...remaining for further processing : 11
% 0.22/0.28 % Other redundant clauses eliminated : 0
% 0.22/0.28 % Clauses deleted for lack of memory : 0
% 0.22/0.28 % Backward-subsumed : 0
% 0.22/0.28 % Backward-rewritten : 0
% 0.22/0.28 % Generated clauses : 1
% 0.22/0.28 % ...of the previous two non-redundant : 0
% 0.22/0.28 % ...aggressively subsumed : 0
% 0.22/0.28 % Contextual simplify-reflections : 0
% 0.22/0.28 % Paramodulations : 1
% 0.22/0.28 % Factorizations : 0
% 0.22/0.28 % NegExts : 0
% 0.22/0.28 % Equation resolutions : 0
% 0.22/0.28 % Disequality decompositions : 0
% 0.22/0.28 % Total rewrite steps : 1
% 0.22/0.28 % ...of those cached : 0
% 0.22/0.28 % Propositional unsat checks : 0
% 0.22/0.28 % Propositional check models : 0
% 0.22/0.28 % Propositional check unsatisfiable : 0
% 0.22/0.28 % Propositional clauses : 0
% 0.22/0.28 % Propositional clauses after purity: 0
% 0.22/0.28 % Propositional unsat core size : 0
% 0.22/0.28 % Propositional preprocessing time : 0.000
% 0.22/0.28 % Propositional encoding time : 0.000
% 0.22/0.28 % Propositional solver time : 0.000
% 0.22/0.28 % Success case prop preproc time : 0.000
% 0.22/0.28 % Success case prop encoding time : 0.000
% 0.22/0.28 % Success case prop solver time : 0.000
% 0.22/0.28 % Current number of processed clauses : 11
% 0.22/0.28 % Positive orientable unit clauses : 7
% 0.22/0.28 % Positive unorientable unit clauses: 0
% 0.22/0.28 % Negative unit clauses : 3
% 0.22/0.28 % Non-unit-clauses : 1
% 0.22/0.28 % Current number of unprocessed clauses: 96
% 0.22/0.28 % ...number of literals in the above : 299
% 0.22/0.28 % Current number of archived formulas : 0
% 0.22/0.28 % Current number of archived clauses : 0
% 0.22/0.28 % Clause-clause subsumption calls (NU) : 0
% 0.22/0.28 % Rec. Clause-clause subsumption calls : 0
% 0.22/0.28 % Non-unit clause-clause subsumptions : 0
% 0.22/0.28 % Unit Clause-clause subsumption calls : 2
% 0.22/0.28 % Rewrite failures with RHS unbound : 0
% 0.22/0.28 % BW rewrite match attempts : 0
% 0.22/0.28 % BW rewrite match successes : 0
% 0.22/0.28 % Condensation attempts : 0
% 0.22/0.28 % Condensation successes : 0
% 0.22/0.28 % Termbank termtop insertions : 12756
% 0.22/0.28 % Search garbage collected termcells : 4972
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.016 s
% 0.22/0.28 % System time : 0.005 s
% 0.22/0.28 % Total time : 0.021 s
% 0.22/0.28 % Maximum resident set size: 5036 pages
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.018 s
% 0.22/0.28 % System time : 0.009 s
% 0.22/0.28 % Total time : 0.027 s
% 0.22/0.28 % Maximum resident set size: 5120 pages
% 0.22/0.28 % E exiting
%------------------------------------------------------------------------------