%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU537^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:26:37 AM UTC 2026
% Result : Theorem 0.25s 0.30s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU537^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n004.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Sep 29 13:49:07 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.24 Running higher-order theorem proving
% 0.12/0.26 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p
% 0.25/0.30 % Version: 3.5.1-ho
% 0.25/0.30 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.25/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.25/0.30 % Starting sh5l with 300s (1) cores
% 0.25/0.30 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.30 % Starting new_bool_2 with 300s (1) cores
% 0.25/0.30 % new_ho_10 with pid 1316154 completed with status 0
% 0.25/0.30 % Result found by new_ho_10
% 0.25/0.30 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.25/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.25/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.30 % No SInE strategy applied
% 0.25/0.30 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.25/0.30 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.30 % Starting SubtermCWHack with 151s (1) cores
% 0.25/0.30 % Starting new_ho_10 with 901s (1) cores
% 0.25/0.30 % Starting sh5l with 151s (1) cores
% 0.25/0.30 % Starting new_bool_1 with 151s (1) cores
% 0.25/0.30 % Starting new_bool_2 with 146s (1) cores
% 0.25/0.30 % SubtermCWHack with pid 1316164 completed with status 0
% 0.25/0.30 % Result found by SubtermCWHack
% 0.25/0.30 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.25/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.25/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.30 % No SInE strategy applied
% 0.25/0.30 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.25/0.30 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.30 % Starting SubtermCWHack with 151s (1) cores
% 0.25/0.30 % Preprocessing time : 0.003 s
% 0.25/0.30
% 0.25/0.30 % Proof found!
% 0.25/0.30 % SZS status Theorem
% 0.25/0.30 % SZS output start CNFRefutation
% 0.25/0.30 thf(decl_23, type, in: $i > $i > $o).
% 0.25/0.30 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.25/0.30 thf(decl_25, type, setextAx: $o).
% 0.25/0.30 thf(decl_26, type, emptyset: $i).
% 0.25/0.30 thf(decl_27, type, emptysetAx: $o).
% 0.25/0.30 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.25/0.30 thf(decl_29, type, setadjoinAx: $o).
% 0.25/0.30 thf(decl_30, type, powerset: $i > $i).
% 0.25/0.30 thf(decl_31, type, powersetAx: $o).
% 0.25/0.30 thf(decl_32, type, setunion: $i > $i).
% 0.25/0.30 thf(decl_33, type, setunionAx: $o).
% 0.25/0.30 thf(decl_34, type, omega: $i).
% 0.25/0.30 thf(decl_35, type, omega0Ax: $o).
% 0.25/0.30 thf(decl_36, type, omegaSAx: $o).
% 0.25/0.30 thf(decl_37, type, omegaIndAx: $o).
% 0.25/0.30 thf(decl_38, type, replAx: $o).
% 0.25/0.30 thf(decl_39, type, foundationAx: $o).
% 0.25/0.30 thf(decl_40, type, wellorderingAx: $o).
% 0.25/0.30 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.25/0.30 thf(decl_42, type, descrp: $o).
% 0.25/0.30 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.25/0.30 thf(decl_44, type, dsetconstrI: $o).
% 0.25/0.30 thf(decl_45, type, dsetconstrEL: $o).
% 0.25/0.30 thf(decl_46, type, dsetconstrER: $o).
% 0.25/0.30 thf(decl_47, type, exuE1: $o).
% 0.25/0.30 thf(decl_48, type, prop2set: $o > $i).
% 0.25/0.30 thf(decl_49, type, prop2setE: $o).
% 0.25/0.30 thf(decl_50, type, emptysetE: $o).
% 0.25/0.30 thf(decl_51, type, emptysetimpfalse: $o).
% 0.25/0.30 thf(decl_52, type, notinemptyset: $o).
% 0.25/0.30 thf(decl_53, type, exuE3e: $o).
% 0.25/0.30 thf(decl_54, type, setext: $o).
% 0.25/0.30 thf(decl_55, type, emptyI: $o).
% 0.25/0.30 thf(decl_56, type, noeltsimpempty: $o).
% 0.25/0.30 thf(decl_57, type, setbeta: $o).
% 0.25/0.30 thf(decl_58, type, nonempty: $i > $o).
% 0.25/0.30 thf(decl_59, type, nonemptyE1: $o).
% 0.25/0.30 thf(decl_60, type, nonemptyI: $o).
% 0.25/0.30 thf(decl_61, type, nonemptyI1: $o).
% 0.25/0.30 thf(decl_62, type, setadjoinIL: $o).
% 0.25/0.30 thf(decl_63, type, emptyinunitempty: $o).
% 0.25/0.30 thf(decl_64, type, setadjoinIR: $o).
% 0.25/0.30 thf(decl_65, type, setadjoinE: $o).
% 0.25/0.30 thf(decl_66, type, setadjoinOr: $o).
% 0.25/0.30 thf(decl_67, type, setoftrueEq: $o).
% 0.25/0.30 thf(decl_68, type, powersetI: $o).
% 0.25/0.30 thf(decl_69, type, emptyinPowerset: $o).
% 0.25/0.30 thf(decl_70, type, emptyInPowerset: $o).
% 0.25/0.30 thf(decl_71, type, powersetE: $o).
% 0.25/0.30 thf(decl_72, type, setunionI: $o).
% 0.25/0.30 thf(decl_73, type, setunionE: $o).
% 0.25/0.30 thf(decl_74, type, subPowSU: $o).
% 0.25/0.30 thf(decl_75, type, exuE2: $o).
% 0.25/0.30 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.25/0.30 thf(decl_77, type, uniqinunit: $o).
% 0.25/0.30 thf(decl_78, type, notinsingleton: $o).
% 0.25/0.30 thf(decl_79, type, eqinunit: $o).
% 0.25/0.30 thf(decl_80, type, singletonsswitch: $o).
% 0.25/0.30 thf(decl_81, type, upairsetE: $o).
% 0.25/0.30 thf(decl_82, type, upairsetIL: $o).
% 0.25/0.30 thf(decl_83, type, upairsetIR: $o).
% 0.25/0.30 thf(decl_84, type, emptyE1: $o).
% 0.25/0.30 thf(decl_85, type, vacuousDall: $o).
% 0.25/0.30 thf(decl_86, type, quantDeMorgan1: $o).
% 0.25/0.30 thf(decl_87, type, epred1_0: $o).
% 0.25/0.30 thf(decl_88, type, esk1_2: $i > $i > $i).
% 0.25/0.30 thf(decl_89, type, esk2_2: $i > $i > $i).
% 0.25/0.30 thf(decl_90, type, esk3_2: $i > $i > $i).
% 0.25/0.30 thf(decl_91, type, esk4_1: $i > $i).
% 0.25/0.30 thf(decl_92, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.25/0.30 thf(decl_93, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.25/0.30 thf(decl_94, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.25/0.30 thf(decl_95, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.25/0.30 thf(decl_96, type, esk9_1: $i > $i).
% 0.25/0.30 thf(decl_97, type, esk10_2: ($i > $o) > $i > $i).
% 0.25/0.30 thf(decl_98, type, esk11_2: ($i > $o) > $i > $i).
% 0.25/0.30 thf(decl_99, type, esk12_1: ($i > $o) > $i).
% 0.25/0.30 thf(decl_100, type, esk13_2: ($i > $o) > $i > $i).
% 0.25/0.30 thf(decl_101, type, esk14_1: ($i > $o) > $i).
% 0.25/0.30 thf(decl_102, type, esk15_2: $i > $i > $i).
% 0.25/0.30 thf(decl_103, type, esk16_2: $i > $i > $i).
% 0.25/0.30 thf(decl_104, type, esk17_1: $i > $i).
% 0.25/0.30 thf(decl_105, type, esk18_1: $i > $i).
% 0.25/0.30 thf(decl_106, type, esk19_1: $i > $i).
% 0.25/0.30 thf(decl_107, type, esk20_2: $i > $i > $i).
% 0.25/0.30 thf(decl_108, type, esk21_3: $i > $i > $o > $i).
% 0.25/0.30 thf(decl_109, type, esk22_2: ($i > $o) > $i > $i).
% 0.25/0.30 thf(decl_110, type, esk23_1: ($i > $o) > $i).
% 0.25/0.30 thf(decl_111, type, esk24_1: $i > $i).
% 0.25/0.30 thf(decl_112, type, esk25_2: $i > ($i > $o) > $i).
% 0.25/0.30 thf(decl_113, type, esk26_0: $i).
% 0.25/0.30 thf(decl_114, type, epred2_0: $i > $o).
% 0.25/0.30 thf(decl_115, type, esk27_0: $i).
% 0.25/0.30 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', replAx)).
% 0.25/0.30 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', exu)).
% 0.25/0.30 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', descrp)).
% 0.25/0.30 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', exuE1)).
% 0.25/0.30 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', exuE3e)).
% 0.25/0.30 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', nonempty)).
% 0.25/0.30 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', nonemptyI)).
% 0.25/0.30 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', exuE2)).
% 0.25/0.30 thf(quantDeMorgan2, 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)=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', quantDeMorgan2)).
% 0.25/0.30 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', dsetconstrI)).
% 0.25/0.30 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', dsetconstrEL)).
% 0.25/0.30 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', dsetconstrER)).
% 0.25/0.30 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setbeta)).
% 0.25/0.30 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', nonemptyE1)).
% 0.25/0.30 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', nonemptyI1)).
% 0.25/0.30 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setoftrueEq)).
% 0.25/0.30 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', nonemptyImpWitness)).
% 0.25/0.30 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', emptyE1)).
% 0.25/0.30 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setextAx)).
% 0.25/0.30 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', emptysetAx)).
% 0.25/0.30 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setadjoinAx)).
% 0.25/0.30 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', powersetAx)).
% 0.25/0.30 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setunionAx)).
% 0.25/0.30 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', omega0Ax)).
% 0.25/0.30 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', omegaSAx)).
% 0.25/0.30 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', omegaIndAx)).
% 0.25/0.30 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', foundationAx)).
% 0.25/0.30 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', wellorderingAx)).
% 0.25/0.30 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', prop2setE)).
% 0.25/0.30 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', emptysetE)).
% 0.25/0.30 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', emptysetimpfalse)).
% 0.25/0.30 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', notinemptyset)).
% 0.25/0.30 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setext)).
% 0.25/0.30 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', emptyI)).
% 0.25/0.30 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', noeltsimpempty)).
% 0.25/0.30 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setadjoinIL)).
% 0.25/0.30 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', emptyinunitempty)).
% 0.25/0.30 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setadjoinIR)).
% 0.25/0.30 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/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setadjoinE)).
% 0.25/0.30 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setadjoinOr)).
% 0.25/0.30 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', powersetI)).
% 0.25/0.30 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', emptyinPowerset)).
% 0.25/0.30 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', emptyInPowerset)).
% 0.25/0.30 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', powersetE)).
% 0.25/0.30 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setunionI)).
% 0.25/0.30 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/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', setunionE)).
% 0.25/0.30 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', subPowSU)).
% 0.25/0.30 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', uniqinunit)).
% 0.25/0.30 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', notinsingleton)).
% 0.25/0.30 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', eqinunit)).
% 0.25/0.30 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', singletonsswitch)).
% 0.25/0.30 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X15:$i]:(((in @ X15 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X15)=(X2))|((X15)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', upairsetE)).
% 0.25/0.30 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', upairsetIL)).
% 0.25/0.30 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', upairsetIR)).
% 0.25/0.30 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', vacuousDall)).
% 0.25/0.30 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.uD5tYLzTR7/E---3.1_1316114.p', quantDeMorgan1)).
% 0.25/0.30 thf(c_0_56, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.25/0.30 thf(c_0_57, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.25/0.30 thf(c_0_58, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.25/0.30 thf(c_0_59, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.25/0.30 thf(c_0_60, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.25/0.30 thf(c_0_61, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.25/0.30 thf(c_0_62, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.25/0.30 thf(c_0_63, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.25/0.30 thf(c_0_64, 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)=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[quantDeMorgan2])).
% 0.25/0.30 thf(c_0_65, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X164:$i]:(((((X6 @ X2 @ X164)))&(![X165:$i]:(((((X6 @ X2 @ X165)))=>(((X164)=(X165)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_56, c_0_57])).
% 0.25/0.30 thf(c_0_66, plain, ((descrp)=(![X1:$i > $o]:((((?[X166:$i]:(((((X1 @ X166)))&(![X167:$i]:(((((X1 @ X167)))=>(((X166)=(X167))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_58, c_0_57])).
% 0.25/0.30 thf(c_0_67, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.25/0.30 thf(c_0_68, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.25/0.30 thf(c_0_69, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.25/0.30 thf(c_0_70, plain, ((exuE1)=(![X1:$i > $o]:((((?[X168:$i]:(((((X1 @ X168)))&(![X169:$i]:(((((X1 @ X169)))=>(((X168)=(X169))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_59, c_0_57])).
% 0.25/0.30 thf(c_0_71, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X170:$i]:(((((X1 @ X170)))&(![X171:$i]:(((((X1 @ X171)))=>(((X170)=(X171))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_60, c_0_57])).
% 0.25/0.30 thf(c_0_72, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.25/0.30 thf(c_0_73, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_61])).
% 0.25/0.30 thf(c_0_74, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_62, c_0_61])).
% 0.25/0.30 thf(c_0_75, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_61])).
% 0.25/0.30 thf(c_0_76, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.25/0.30 thf(c_0_77, plain, ((exuE2)=(![X1:$i > $o]:((((?[X172:$i]:(((((X1 @ X172)))&(![X173:$i]:(((((X1 @ X173)))=>(((X172)=(X173))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_63, c_0_57])).
% 0.25/0.30 thf(c_0_78, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_61])).
% 0.25/0.30 thf(c_0_79, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 0.25/0.30 thf(c_0_80, plain, ((epred1_0)<=>![X203:$i]:(?[X204:$i]:((((![X205:$i]:(((in @ X205 @ X204)=>![X206:$i]:(((in @ X206 @ X205)=>(in @ X206 @ X203)))))&![X207:$i, X208:$i]:((((in @ X207 @ X203)&(in @ X208 @ X203))=>(![X209:$i]:(((in @ X209 @ X204)=>((in @ X207 @ X209)<=>(in @ X208 @ X209))))=>((X207)=(X208))))))&![X210:$i, X211:$i]:((((in @ X210 @ X204)&(in @ X211 @ X204))=>(![X212:$i]:(((in @ X212 @ X210)=>(in @ X212 @ X211)))|![X213:$i]:(((in @ X213 @ X211)=>(in @ X213 @ X210)))))))&![X214:$i]:(((![X215:$i]:(((in @ X215 @ X214)=>(in @ X215 @ X203)))&?[X216:$i]:((in @ X216 @ X214)))=>?[X217:$i, X218:$i]:(((((in @ X217 @ X204)&(in @ X218 @ X214))&~(?[X219:$i]:(((in @ X219 @ X217)&(in @ X219 @ X214)))))&![X220:$i]:(((in @ X220 @ X204)=>(![X221:$i]:(((in @ X221 @ X220)=>(in @ X221 @ X217)))|(in @ X218 @ X220)))))))))))), introduced(definition)).
% 0.25/0.30 thf(c_0_81, negated_conjecture, ~((![X174:$i, X175:$i]:((![X176:$i]:(((in @ X176 @ X174)<=>(in @ X176 @ X175)))=>((X174)=(X175))))=>(![X177:$i]:(~(in @ X177 @ emptyset))=>(![X178:$i, X179:$i, X180:$i]:(((in @ X180 @ (setadjoin @ X178 @ X179))<=>(((X180)=(X178))|(in @ X180 @ X179))))=>(![X181:$i, X182:$i]:(((in @ X182 @ (powerset @ X181))<=>![X183:$i]:(((in @ X183 @ X182)=>(in @ X183 @ X181)))))=>(![X184:$i, X185:$i]:(((in @ X185 @ (setunion @ X184))<=>?[X186:$i]:(((in @ X185 @ X186)&(in @ X186 @ X184)))))=>((in @ emptyset @ omega)=>(![X187:$i]:(((in @ X187 @ omega)=>(in @ (setadjoin @ X187 @ X187) @ omega)))=>(![X188:$i]:((((in @ emptyset @ X188)&![X189:$i]:((((in @ X189 @ omega)&(in @ X189 @ X188))=>(in @ (setadjoin @ X189 @ X189) @ X188))))=>![X190:$i]:(((in @ X190 @ omega)=>(in @ X190 @ X188)))))=>(![X191:$i > $i > $o, X192:$i]:((![X193:$i]:(((in @ X193 @ X192)=>?[X194:$i]:(((X191 @ X193 @ X194)&![X195:$i]:(((X191 @ X193 @ X195)=>((X194)=(X195))))))))=>?[X196:$i]:(![X197:$i]:(((in @ X197 @ X196)<=>?[X198:$i]:(((in @ X198 @ X192)&(X191 @ X198 @ X197))))))))=>(![X199:$i]:((?[X200:$i]:((in @ X200 @ X199))=>?[X201:$i]:(((in @ X201 @ X199)&~(?[X202:$i]:(((in @ X202 @ X201)&(in @ X202 @ X199))))))))=>((epred1_0)=>(![X222:$i > $o]:((?[X223:$i]:(((X222 @ X223)&![X224:$i]:(((X222 @ X224)=>((X223)=(X224))))))=>(X222 @ (descr @ (^[Z0:$i]:(X222 @ Z0))))))=>(![X225:$i, X226:$i > $o, X227:$i]:(((in @ X227 @ X225)=>((X226 @ X227)=>(in @ X227 @ (dsetconstr @ X225 @ X226)))))=>(![X228:$i, X229:$i > $o, X230:$i]:(((in @ X230 @ (dsetconstr @ X228 @ X229))=>(in @ X230 @ X228)))=>(![X231:$i, X232:$i > $o, X233:$i]:(((in @ X233 @ (dsetconstr @ X231 @ X232))=>(X232 @ X233)))=>(![X234:$i > $o]:((?[X235:$i]:(((X234 @ X235)&![X236:$i]:(((X234 @ X236)=>((X235)=(X236))))))=>?[X237:$i]:(((X234 @ X237)&![X238:$i]:(((X234 @ X238)=>((X237)=(X238))))))))=>(![X239:$o, X240:$i]:(((in @ X240 @ (prop2set @ ((X239))))=>(X239)))=>(![X241:$i]:(((in @ X241 @ emptyset)=>![X242:$o]:((X242))))=>(![X243:$i]:(((in @ X243 @ emptyset)=>~($true)))=>(![X244:$i]:(~(in @ X244 @ emptyset))=>(![X245:$i > $o]:((?[X246:$i]:(((X245 @ X246)&![X247:$i]:(((X245 @ X247)=>((X246)=(X247))))))=>?[X248:$i]:((X245 @ X248))))=>(![X249:$i, X250:$i]:((![X251:$i]:(((in @ X251 @ X249)=>(in @ X251 @ X250)))=>(![X252:$i]:(((in @ X252 @ X250)=>(in @ X252 @ X249)))=>((X249)=(X250)))))=>(![X253:$i]:((![X254:$i]:(~(in @ X254 @ X253))=>((X253)=(emptyset))))=>(![X255:$i]:((![X256:$i]:(~(in @ X256 @ X255))=>((X255)=(emptyset))))=>(![X257:$i, X258:$i > $o, X259:$i]:(((in @ X259 @ X257)=>((in @ X259 @ (dsetconstr @ X257 @ X258))<=>(X258 @ X259))))=>(![X260:$i]:((((X260)!=(emptyset))=>?[X261:$i]:((in @ X261 @ X260))))=>(![X262:$i, X263:$i > $o, X264:$i]:(((in @ X264 @ X262)=>((X263 @ X264)=>((dsetconstr @ X262 @ X263)!=(emptyset)))))=>(![X265:$i]:((?[X266:$i]:((in @ X266 @ X265))=>((X265)!=(emptyset))))=>(![X267:$i, X268:$i]:((in @ X267 @ (setadjoin @ X267 @ X268)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X269:$i, X270:$i, X271:$i]:(((in @ X271 @ X270)=>(in @ X271 @ (setadjoin @ X269 @ X270))))=>(![X272:$i, X273:$i, X274:$i]:(((in @ X274 @ (setadjoin @ X272 @ X273))=>![X275:$o]:(((((X274)=(X272))=>(X275))=>(((in @ X274 @ X273)=>(X275))=>(X275))))))=>(![X276:$i, X277:$i, X278:$i]:(((in @ X278 @ (setadjoin @ X276 @ X277))=>(((X278)=(X276))|(in @ X278 @ X277))))=>(![X279:$i]:(((dsetconstr @ X279 @ (^[Z0:$i]:($true)))=(X279)))=>(![X280:$i, X281:$i]:((![X282:$i]:(((in @ X282 @ X281)=>(in @ X282 @ X280)))=>(in @ X281 @ (powerset @ X280))))=>(![X283:$i]:((in @ emptyset @ (powerset @ X283)))=>(![X284:$i]:((in @ emptyset @ (powerset @ X284)))=>(![X285:$i, X286:$i, X287:$i]:(((in @ X286 @ (powerset @ X285))=>((in @ X287 @ X286)=>(in @ X287 @ X285))))=>(![X288:$i, X289:$i, X290:$i]:(((in @ X289 @ X290)=>((in @ X290 @ X288)=>(in @ X289 @ (setunion @ X288)))))=>(![X291:$i, X292:$i]:(((in @ X292 @ (setunion @ X291))=>![X293:$o]:((![X294:$i]:(((in @ X292 @ X294)=>((in @ X294 @ X291)=>(X293))))=>(X293)))))=>(![X295:$i, X296:$i]:(((in @ X296 @ X295)=>(in @ X296 @ (powerset @ (setunion @ X295)))))=>(![X297:$i > $o]:((?[X298:$i]:(((X297 @ X298)&![X299:$i]:(((X297 @ X299)=>((X298)=(X299))))))=>?[X300:$i]:(![X301:$i]:(((X297 @ X301)<=>((X301)=(X300)))))))=>(![X302:$i]:((((X302)!=(emptyset))=>?[X303:$i]:(((in @ X303 @ X302)&$true))))=>(![X304:$i, X305:$i]:(((in @ X304 @ (setadjoin @ X305 @ emptyset))=>((X304)=(X305))))=>(![X306:$i, X307:$i]:((((X306)!=(X307))=>~(in @ X307 @ (setadjoin @ X306 @ emptyset))))=>(![X308:$i, X309:$i]:((((X308)=(X309))=>(in @ X308 @ (setadjoin @ X309 @ emptyset))))=>(![X310:$i, X311:$i]:(((in @ X310 @ (setadjoin @ X311 @ emptyset))=>(in @ X311 @ (setadjoin @ X310 @ emptyset))))=>(![X312:$i, X313:$i, X314:$i]:(((in @ X314 @ (setadjoin @ X312 @ (setadjoin @ X313 @ emptyset)))=>(((X314)=(X312))|((X314)=(X313)))))=>(![X315:$i, X316:$i]:((in @ X315 @ (setadjoin @ X315 @ (setadjoin @ X316 @ emptyset))))=>(![X317:$i, X318:$i]:((in @ X318 @ (setadjoin @ X317 @ (setadjoin @ X318 @ emptyset))))=>(![X319:$i, X320:$i > $o]:((?[X321:$i]:(((in @ X321 @ X319)&(X320 @ X321)))=>(((dsetconstr @ X319 @ X320)=(emptyset))=>~($true))))=>(![X322:$i > $o, X323:$i]:(((in @ X323 @ emptyset)=>(X322 @ X323)))=>(![X324:$i, X325:$i > $o]:((~(![X326:$i]:(((in @ X326 @ X324)=>(X325 @ X326))))=>?[X327:$i]:(((in @ X327 @ X324)&~((X325 @ X327))))))=>![X4:$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(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(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_64, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_65]), foundationAx]), wellorderingAx]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_71]), setext]), emptyI]), noeltsimpempty]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_76]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_77]), c_0_78]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_79]), vacuousDall]), quantDeMorgan1])])]), c_0_80])).
% 0.25/0.30 thf(c_0_82, negated_conjecture, ![X330:$i, X331:$i, X333:$i, X334:$i, X335:$i, X336:$i, X337:$i, X338:$i, X339:$i, X340:$i, X341:$i, X343:$i, X344:$i, X346:$i, X347:$i, X348:$i, X349:$i, X350:$i, X352:$i, X353:$i > $i > $o, X354:$i, X356:$i, X359:$i, X361:$i, X362:$i, X363:$i, X364:$i, X366:$i, X367:$i > $o, X368:$i, X370:$i, X371:$i > $o, X372:$i, X373:$i, X374:$i > $o, X375:$i, X376:$i, X377:$i > $o, X378:$i, X379:$i > $o, X380:$i, X383:$i, X384:$o, X385:$i, X386:$i, X387:$o, X388:$i, X389:$i, X390:$i > $o, X391:$i, X394:$i, X395:$i, X398:$i, X400:$i, X402:$i, X403:$i > $o, X404:$i, X405:$i, X407:$i, X408:$i > $o, X409:$i, X410:$i, X411:$i, X412:$i, X413:$i, X414:$i, X415:$i, X416:$i, X417:$i, X418:$i, X419:$i, X420:$o, X421:$i, X422:$i, X423:$i, X424:$i, X425:$i, X426:$i, X428:$i, X429:$i, X430:$i, X431:$i, X432:$i, X433:$i, X434:$i, X435:$i, X436:$i, X437:$i, X438:$o, X440:$i, X441:$i, X442:$i > $o, X443:$i, X446:$i, X447:$i, X448:$i, X450:$i, X451:$i, X452:$i, X453:$i, X454:$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 > $o, X467:$i, X468:$i > $o, X469:$i, X470:$i, X471:$i > $o, X472:$i, X476:$i]:((((~(in @ (esk1_2 @ X330 @ X331) @ X330)|~(in @ (esk1_2 @ X330 @ X331) @ X331)|((X330)=(X331)))&((in @ (esk1_2 @ X330 @ X331) @ X330)|(in @ (esk1_2 @ X330 @ X331) @ X331)|((X330)=(X331))))&(~(in @ X333 @ emptyset)&(((~(in @ X336 @ (setadjoin @ X334 @ X335))|(((X336)=(X334))|(in @ X336 @ X335)))&((((X336)!=(X334))|(in @ X336 @ (setadjoin @ X334 @ X335)))&(~(in @ X336 @ X335)|(in @ X336 @ (setadjoin @ X334 @ X335)))))&(((~(in @ X338 @ (powerset @ X337))|(~(in @ X339 @ X338)|(in @ X339 @ X337)))&(((in @ (esk2_2 @ X340 @ X341) @ X341)|(in @ X341 @ (powerset @ X340)))&(~(in @ (esk2_2 @ X340 @ X341) @ X340)|(in @ X341 @ (powerset @ X340)))))&(((((in @ X344 @ (esk3_2 @ X343 @ X344))|~(in @ X344 @ (setunion @ X343)))&((in @ (esk3_2 @ X343 @ X344) @ X343)|~(in @ X344 @ (setunion @ X343))))&(~(in @ X347 @ X348)|~(in @ X348 @ X346)|(in @ X347 @ (setunion @ X346))))&((in @ emptyset @ omega)&((~(in @ X349 @ omega)|(in @ (setadjoin @ X349 @ X349) @ omega))&(((((in @ (esk4_1 @ X350) @ omega)|~(in @ emptyset @ X350)|(~(in @ X352 @ omega)|(in @ X352 @ X350)))&((in @ (esk4_1 @ X350) @ X350)|~(in @ emptyset @ X350)|(~(in @ X352 @ omega)|(in @ X352 @ X350))))&(~(in @ (setadjoin @ (esk4_1 @ X350) @ (esk4_1 @ X350)) @ X350)|~(in @ emptyset @ X350)|(~(in @ X352 @ omega)|(in @ X352 @ X350))))&((((((in @ (esk8_3 @ X353 @ X354 @ X359) @ X354)|~(in @ X359 @ (esk7_2 @ X353 @ X354))|(in @ (esk5_2 @ X353 @ X354) @ X354))&((X353 @ (esk8_3 @ X353 @ X354 @ X359) @ X359)|~(in @ X359 @ (esk7_2 @ X353 @ X354))|(in @ (esk5_2 @ X353 @ X354) @ X354)))&(~(in @ X362 @ X354)|~(X353 @ X362 @ X361)|(in @ X361 @ (esk7_2 @ X353 @ X354))|(in @ (esk5_2 @ X353 @ X354) @ X354)))&(((((in @ (esk8_3 @ X353 @ X354 @ X359) @ X354)|~(in @ X359 @ (esk7_2 @ X353 @ X354))|((X353 @ (esk5_2 @ X353 @ X354) @ (esk6_3 @ X353 @ X354 @ X356))|~(X353 @ (esk5_2 @ X353 @ X354) @ X356)))&((X353 @ (esk8_3 @ X353 @ X354 @ X359) @ X359)|~(in @ X359 @ (esk7_2 @ X353 @ X354))|((X353 @ (esk5_2 @ X353 @ X354) @ (esk6_3 @ X353 @ X354 @ X356))|~(X353 @ (esk5_2 @ X353 @ X354) @ X356))))&(~(in @ X362 @ X354)|~(X353 @ X362 @ X361)|(in @ X361 @ (esk7_2 @ X353 @ X354))|((X353 @ (esk5_2 @ X353 @ X354) @ (esk6_3 @ X353 @ X354 @ X356))|~(X353 @ (esk5_2 @ X353 @ X354) @ X356))))&((((in @ (esk8_3 @ X353 @ X354 @ X359) @ X354)|~(in @ X359 @ (esk7_2 @ X353 @ X354))|(((X356)!=(esk6_3 @ X353 @ X354 @ X356))|~(X353 @ (esk5_2 @ X353 @ X354) @ X356)))&((X353 @ (esk8_3 @ X353 @ X354 @ X359) @ X359)|~(in @ X359 @ (esk7_2 @ X353 @ X354))|(((X356)!=(esk6_3 @ X353 @ X354 @ X356))|~(X353 @ (esk5_2 @ X353 @ X354) @ X356))))&(~(in @ X362 @ X354)|~(X353 @ X362 @ X361)|(in @ X361 @ (esk7_2 @ X353 @ X354))|(((X356)!=(esk6_3 @ X353 @ X354 @ X356))|~(X353 @ (esk5_2 @ X353 @ X354) @ X356))))))&((((in @ (esk9_1 @ X363) @ X363)|~(in @ X364 @ X363))&(~(in @ X366 @ (esk9_1 @ X363))|~(in @ X366 @ X363)|~(in @ X364 @ X363)))&((epred1_0)&((((X367 @ (esk10_2 @ X367 @ X368))|~(X367 @ X368)|(X367 @ (descr @ X367)))&(((X368)!=(esk10_2 @ X367 @ X368))|~(X367 @ X368)|(X367 @ (descr @ X367))))&((~(in @ X372 @ X370)|(~(X371 @ X372)|(in @ X372 @ (dsetconstr @ X370 @ X371))))&((~(in @ X375 @ (dsetconstr @ X373 @ X374))|(in @ X375 @ X373))&((~(in @ X378 @ (dsetconstr @ X376 @ X377))|(X377 @ X378))&(((((X379 @ (esk12_1 @ X379))|((X379 @ (esk11_2 @ X379 @ X380))|~(X379 @ X380)))&(~(X379 @ X383)|((esk12_1 @ X379)=(X383))|((X379 @ (esk11_2 @ X379 @ X380))|~(X379 @ X380))))&(((X379 @ (esk12_1 @ X379))|(((X380)!=(esk11_2 @ X379 @ X380))|~(X379 @ X380)))&(~(X379 @ X383)|((esk12_1 @ X379)=(X383))|(((X380)!=(esk11_2 @ X379 @ X380))|~(X379 @ X380)))))&((~(in @ X385 @ (prop2set @ ((X384))))|(X384))&((~(in @ X386 @ emptyset)|(X387))&((~(in @ X388 @ emptyset)|~($true))&(~(in @ X389 @ emptyset)&((((X390 @ (esk13_2 @ X390 @ X391))|~(X390 @ X391)|(X390 @ (esk14_1 @ X390)))&(((X391)!=(esk13_2 @ X390 @ X391))|~(X390 @ X391)|(X390 @ (esk14_1 @ X390))))&(((((in @ (esk16_2 @ X394 @ X395) @ X395)|((X394)=(X395))|(in @ (esk15_2 @ X394 @ X395) @ X394))&(~(in @ (esk16_2 @ X394 @ X395) @ X394)|((X394)=(X395))|(in @ (esk15_2 @ X394 @ X395) @ X394)))&(((in @ (esk16_2 @ X394 @ X395) @ X395)|((X394)=(X395))|~(in @ (esk15_2 @ X394 @ X395) @ X395))&(~(in @ (esk16_2 @ X394 @ X395) @ X394)|((X394)=(X395))|~(in @ (esk15_2 @ X394 @ X395) @ X395))))&(((in @ (esk17_1 @ X398) @ X398)|((X398)=(emptyset)))&(((in @ (esk18_1 @ X400) @ X400)|((X400)=(emptyset)))&(((~(in @ X404 @ (dsetconstr @ X402 @ X403))|(X403 @ X404)|~(in @ X404 @ X402))&(~(X403 @ X404)|(in @ X404 @ (dsetconstr @ X402 @ X403))|~(in @ X404 @ X402)))&((((X405)=(emptyset))|(in @ (esk19_1 @ X405) @ X405))&((~(in @ X409 @ X407)|(~(X408 @ X409)|((dsetconstr @ X407 @ X408)!=(emptyset))))&((~(in @ X411 @ X410)|((X410)!=(emptyset)))&((in @ X412 @ (setadjoin @ X412 @ X413))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X416 @ X415)|(in @ X416 @ (setadjoin @ X414 @ X415)))&(((((in @ X419 @ X418)|(X420)|((X419)=(X417))|~(in @ X419 @ (setadjoin @ X417 @ X418)))&(~(X420)|(X420)|((X419)=(X417))|~(in @ X419 @ (setadjoin @ X417 @ X418))))&(((in @ X419 @ X418)|(X420)|~(X420)|~(in @ X419 @ (setadjoin @ X417 @ X418)))&(~(X420)|(X420)|~(X420)|~(in @ X419 @ (setadjoin @ X417 @ X418)))))&((~(in @ X423 @ (setadjoin @ X421 @ X422))|(((X423)=(X421))|(in @ X423 @ X422)))&(((dsetconstr @ X424 @ (^[Z0:$i]:($true)))=(X424))&((((in @ (esk20_2 @ X425 @ X426) @ X426)|(in @ X426 @ (powerset @ X425)))&(~(in @ (esk20_2 @ X425 @ X426) @ X425)|(in @ X426 @ (powerset @ X425))))&((in @ emptyset @ (powerset @ X428))&((in @ emptyset @ (powerset @ X429))&((~(in @ X431 @ (powerset @ X430))|(~(in @ X432 @ X431)|(in @ X432 @ X430)))&((~(in @ X434 @ X435)|(~(in @ X435 @ X433)|(in @ X434 @ (setunion @ X433))))&((((in @ X437 @ (esk21_3 @ X436 @ X437 @ X438))|(X438)|~(in @ X437 @ (setunion @ X436)))&(((in @ (esk21_3 @ X436 @ X437 @ X438) @ X436)|(X438)|~(in @ X437 @ (setunion @ X436)))&(~(X438)|(X438)|~(in @ X437 @ (setunion @ X436)))))&((~(in @ X441 @ X440)|(in @ X441 @ (powerset @ (setunion @ X440))))&((((~(X442 @ X446)|((X446)=(esk23_1 @ X442))|((X442 @ (esk22_2 @ X442 @ X443))|~(X442 @ X443)))&(((X447)!=(esk23_1 @ X442))|(X442 @ X447)|((X442 @ (esk22_2 @ X442 @ X443))|~(X442 @ X443))))&((~(X442 @ X446)|((X446)=(esk23_1 @ X442))|(((X443)!=(esk22_2 @ X442 @ X443))|~(X442 @ X443)))&(((X447)!=(esk23_1 @ X442))|(X442 @ X447)|(((X443)!=(esk22_2 @ X442 @ X443))|~(X442 @ X443)))))&((((in @ (esk24_1 @ X448) @ X448)|((X448)=(emptyset)))&(($true)|((X448)=(emptyset))))&((~(in @ X450 @ (setadjoin @ X451 @ emptyset))|((X450)=(X451)))&((((X452)=(X453))|~(in @ X453 @ (setadjoin @ X452 @ emptyset)))&((((X454)!=(X455))|(in @ X454 @ (setadjoin @ X455 @ emptyset)))&((~(in @ X456 @ (setadjoin @ X457 @ emptyset))|(in @ X457 @ (setadjoin @ X456 @ emptyset)))&((~(in @ X460 @ (setadjoin @ X458 @ (setadjoin @ X459 @ emptyset)))|(((X460)=(X458))|((X460)=(X459))))&((in @ X461 @ (setadjoin @ X461 @ (setadjoin @ X462 @ emptyset)))&((in @ X464 @ (setadjoin @ X463 @ (setadjoin @ X464 @ emptyset)))&((~(in @ X467 @ X465)|~(X466 @ X467)|(((dsetconstr @ X465 @ X466)!=(emptyset))|~($true)))&((~(in @ X469 @ emptyset)|(X468 @ X469))&((((in @ (esk25_2 @ X470 @ X471) @ X470)|(~(in @ X472 @ X470)|(X471 @ X472)))&(~(X471 @ (esk25_2 @ X470 @ X471))|(~(in @ X472 @ X470)|(X471 @ X472))))&((~(in @ X476 @ esk26_0)|~(epred2_0 @ X476))&((in @ esk27_0 @ esk26_0)&(epred2_0 @ esk27_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[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_81])])])])])])])).
% 0.25/0.30 thf(c_0_83, negated_conjecture, ![X2:$i]:((~((in @ X2 @ esk26_0))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_82])).
% 0.25/0.30 thf(c_0_84, negated_conjecture, (in @ esk27_0 @ esk26_0), inference(split_conjunct,[status(thm)],[c_0_82])).
% 0.25/0.30 thf(c_0_85, negated_conjecture, (epred2_0 @ esk27_0), inference(split_conjunct,[status(thm)],[c_0_82])).
% 0.25/0.30 thf(c_0_86, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_85])]), ['proof']).
% 0.25/0.30 % SZS output end CNFRefutation
% 0.25/0.30 % Parsed axioms : 121
% 0.25/0.30 % Removed by relevancy pruning/SinE : 0
% 0.25/0.30 % Initial clauses : 174
% 0.25/0.30 % Removed in clause preprocessing : 69
% 0.25/0.30 % Initial clauses in saturation : 105
% 0.25/0.30 % Processed clauses : 15
% 0.25/0.30 % ...of these trivial : 1
% 0.25/0.30 % ...subsumed : 3
% 0.25/0.30 % ...remaining for further processing : 11
% 0.25/0.30 % Other redundant clauses eliminated : 0
% 0.25/0.30 % Clauses deleted for lack of memory : 0
% 0.25/0.30 % Backward-subsumed : 0
% 0.25/0.30 % Backward-rewritten : 0
% 0.25/0.30 % Generated clauses : 1
% 0.25/0.30 % ...of the previous two non-redundant : 0
% 0.25/0.30 % ...aggressively subsumed : 0
% 0.25/0.30 % Contextual simplify-reflections : 0
% 0.25/0.30 % Paramodulations : 1
% 0.25/0.30 % Factorizations : 0
% 0.25/0.30 % NegExts : 0
% 0.25/0.30 % Equation resolutions : 0
% 0.25/0.30 % Disequality decompositions : 0
% 0.25/0.30 % Total rewrite steps : 2
% 0.25/0.30 % ...of those cached : 0
% 0.25/0.30 % Propositional unsat checks : 0
% 0.25/0.30 % Propositional check models : 0
% 0.25/0.30 % Propositional check unsatisfiable : 0
% 0.25/0.30 % Propositional clauses : 0
% 0.25/0.30 % Propositional clauses after purity: 0
% 0.25/0.30 % Propositional unsat core size : 0
% 0.25/0.30 % Propositional preprocessing time : 0.000
% 0.25/0.30 % Propositional encoding time : 0.000
% 0.25/0.30 % Propositional solver time : 0.000
% 0.25/0.30 % Success case prop preproc time : 0.000
% 0.25/0.30 % Success case prop encoding time : 0.000
% 0.25/0.30 % Success case prop solver time : 0.000
% 0.25/0.30 % Current number of processed clauses : 11
% 0.25/0.30 % Positive orientable unit clauses : 7
% 0.25/0.30 % Positive unorientable unit clauses: 0
% 0.25/0.30 % Negative unit clauses : 3
% 0.25/0.30 % Non-unit-clauses : 1
% 0.25/0.30 % Current number of unprocessed clauses: 90
% 0.25/0.30 % ...number of literals in the above : 281
% 0.25/0.30 % Current number of archived formulas : 0
% 0.25/0.30 % Current number of archived clauses : 0
% 0.25/0.30 % Clause-clause subsumption calls (NU) : 0
% 0.25/0.30 % Rec. Clause-clause subsumption calls : 0
% 0.25/0.30 % Non-unit clause-clause subsumptions : 0
% 0.25/0.30 % Unit Clause-clause subsumption calls : 0
% 0.25/0.30 % Rewrite failures with RHS unbound : 0
% 0.25/0.30 % BW rewrite match attempts : 0
% 0.25/0.30 % BW rewrite match successes : 0
% 0.25/0.30 % Condensation attempts : 0
% 0.25/0.30 % Condensation successes : 0
% 0.25/0.30 % Termbank termtop insertions : 14545
% 0.25/0.30 % Search garbage collected termcells : 5532
% 0.25/0.30
% 0.25/0.30 % -------------------------------------------------
% 0.25/0.30 % User time : 0.008 s
% 0.25/0.30 % System time : 0.010 s
% 0.25/0.30 % Total time : 0.018 s
% 0.25/0.30 % Maximum resident set size: 5040 pages
% 0.25/0.30
% 0.25/0.30 % -------------------------------------------------
% 0.25/0.30 % User time : 0.033 s
% 0.25/0.30 % System time : 0.020 s
% 0.25/0.30 % Total time : 0.053 s
% 0.25/0.30 % Maximum resident set size: 4864 pages
% 0.25/0.30 % E exiting
%------------------------------------------------------------------------------