%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU525^1 : 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 : n026.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 08:26:35 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
% 0.00/0.02 % Problem : SEU525^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n026.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 13:51:27 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.25 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.qufroJdeSo/E---3.1_621883.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_ho_10 with pid 621921 completed with status 0
% 0.22/0.28 % Result found by new_ho_10
% 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 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.28 % No SInE strategy applied
% 0.22/0.28 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.22/0.28 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.28 % Starting SubtermCWHack with 151s (1) cores
% 0.22/0.28 % Starting new_ho_10 with 901s (1) cores
% 0.22/0.28 % Starting sh5l with 151s (1) cores
% 0.22/0.28 % Starting new_bool_1 with 151s (1) cores
% 0.22/0.28 % Starting new_bool_2 with 146s (1) cores
% 0.22/0.28 % SubtermCWHack with pid 621925 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 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.28 % No SInE strategy applied
% 0.22/0.28 % Search class: HGHSM-FFMS31-SHSSMSBN
% 0.22/0.28 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.28 % Starting SubtermCWHack with 151s (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: $o).
% 0.22/0.28 thf(decl_41, type, descr: ($i > $o) > $i).
% 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, epred1_0: $o).
% 0.22/0.28 thf(decl_76, type, esk1_2: $i > $i > $i).
% 0.22/0.28 thf(decl_77, type, esk2_2: $i > $i > $i).
% 0.22/0.28 thf(decl_78, type, esk3_2: $i > $i > $i).
% 0.22/0.28 thf(decl_79, type, esk4_1: $i > $i).
% 0.22/0.28 thf(decl_80, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.22/0.28 thf(decl_81, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.28 thf(decl_82, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.22/0.28 thf(decl_83, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.28 thf(decl_84, type, esk9_1: $i > $i).
% 0.22/0.28 thf(decl_85, type, esk10_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_86, type, esk11_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_87, type, esk12_1: ($i > $o) > $i).
% 0.22/0.28 thf(decl_88, type, esk13_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_89, type, esk14_1: ($i > $o) > $i).
% 0.22/0.28 thf(decl_90, type, esk15_2: $i > $i > $i).
% 0.22/0.28 thf(decl_91, type, esk16_2: $i > $i > $i).
% 0.22/0.28 thf(decl_92, type, esk17_1: $i > $i).
% 0.22/0.28 thf(decl_93, type, esk18_1: $i > $i).
% 0.22/0.28 thf(decl_94, type, esk19_1: $i > $i).
% 0.22/0.28 thf(decl_95, type, esk20_2: $i > $i > $i).
% 0.22/0.28 thf(decl_96, type, esk21_3: $i > $i > $o > $i).
% 0.22/0.28 thf(decl_97, type, epred2_0: $i > $o).
% 0.22/0.28 thf(decl_98, type, esk22_0: $i).
% 0.22/0.28 thf(decl_99, type, esk23_1: $i > $i).
% 0.22/0.28 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', replAx)).
% 0.22/0.28 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', exu)).
% 0.22/0.28 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', descrp)).
% 0.22/0.28 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', exuE1)).
% 0.22/0.28 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', exuE3e)).
% 0.22/0.28 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', nonempty)).
% 0.22/0.28 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', nonemptyI)).
% 0.22/0.28 thf(exuE2, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', exuE2)).
% 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:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', dsetconstrI)).
% 0.22/0.28 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', dsetconstrEL)).
% 0.22/0.28 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', dsetconstrER)).
% 0.22/0.28 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setbeta)).
% 0.22/0.28 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', nonemptyE1)).
% 0.22/0.28 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', nonemptyI1)).
% 0.22/0.28 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setoftrueEq)).
% 0.22/0.28 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setextAx)).
% 0.22/0.28 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', emptysetAx)).
% 0.22/0.28 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setadjoinAx)).
% 0.22/0.28 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', powersetAx)).
% 0.22/0.28 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setunionAx)).
% 0.22/0.28 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', omega0Ax)).
% 0.22/0.28 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', omegaSAx)).
% 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:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', omegaIndAx)).
% 0.22/0.28 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', foundationAx)).
% 0.22/0.28 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.qufroJdeSo/E---3.1_621883.p', wellorderingAx)).
% 0.22/0.28 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', prop2setE)).
% 0.22/0.28 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', emptysetE)).
% 0.22/0.28 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', emptysetimpfalse)).
% 0.22/0.28 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', notinemptyset)).
% 0.22/0.28 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setext)).
% 0.22/0.28 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', emptyI)).
% 0.22/0.28 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', noeltsimpempty)).
% 0.22/0.28 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setadjoinIL)).
% 0.22/0.28 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', emptyinunitempty)).
% 0.22/0.28 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setadjoinIR)).
% 0.22/0.28 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X13:$o]:(((((X3)=(X2))=>(X13))=>(((in @ X3 @ X4)=>(X13))=>(X13))))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setadjoinE)).
% 0.22/0.28 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setadjoinOr)).
% 0.22/0.28 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', powersetI)).
% 0.22/0.28 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', emptyinPowerset)).
% 0.22/0.28 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', emptyInPowerset)).
% 0.22/0.28 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', powersetE)).
% 0.22/0.28 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.p', setunionI)).
% 0.22/0.28 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X14:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X14))))=>(X14)))))), file('/export/starexec/sandbox/tmp/tmp.qufroJdeSo/E---3.1_621883.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.qufroJdeSo/E---3.1_621883.p', subPowSU)).
% 0.22/0.28 thf(c_0_44, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.22/0.28 thf(c_0_45, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.22/0.28 thf(c_0_46, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.22/0.28 thf(c_0_47, plain, ((exuE1)<=>![X1:$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_48, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.22/0.28 thf(c_0_49, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.22/0.28 thf(c_0_50, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.22/0.28 thf(c_0_51, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[exuE2])).
% 0.22/0.28 thf(c_0_52, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X133:$i]:(((((X6 @ X2 @ X133)))&(![X134:$i]:(((((X6 @ X2 @ X134)))=>(((X133)=(X134)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_44, c_0_45])).
% 0.22/0.28 thf(c_0_53, plain, ((descrp)=(![X1:$i > $o]:((((?[X135:$i]:(((((X1 @ X135)))&(![X136:$i]:(((((X1 @ X136)))=>(((X135)=(X136))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_46, c_0_45])).
% 0.22/0.28 thf(c_0_54, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.22/0.28 thf(c_0_55, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.22/0.28 thf(c_0_56, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.22/0.28 thf(c_0_57, plain, ((exuE1)=(![X1:$i > $o]:((((?[X137:$i]:(((((X1 @ X137)))&(![X138:$i]:(((((X1 @ X138)))=>(((X137)=(X138))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_47, c_0_45])).
% 0.22/0.28 thf(c_0_58, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X139:$i]:(((((X1 @ X139)))&(![X140:$i]:(((((X1 @ X140)))=>(((X139)=(X140))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_48, c_0_45])).
% 0.22/0.28 thf(c_0_59, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.22/0.28 thf(c_0_60, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_49])).
% 0.22/0.28 thf(c_0_61, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_50, c_0_49])).
% 0.22/0.28 thf(c_0_62, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_49])).
% 0.22/0.28 thf(c_0_63, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.22/0.28 thf(c_0_64, plain, ((epred1_0)<=>![X170:$i]:(?[X171:$i]:((((![X172:$i]:(((in @ X172 @ X171)=>![X173:$i]:(((in @ X173 @ X172)=>(in @ X173 @ X170)))))&![X174:$i, X175:$i]:((((in @ X174 @ X170)&(in @ X175 @ X170))=>(![X176:$i]:(((in @ X176 @ X171)=>((in @ X174 @ X176)<=>(in @ X175 @ X176))))=>((X174)=(X175))))))&![X177:$i, X178:$i]:((((in @ X177 @ X171)&(in @ X178 @ X171))=>(![X179:$i]:(((in @ X179 @ X177)=>(in @ X179 @ X178)))|![X180:$i]:(((in @ X180 @ X178)=>(in @ X180 @ X177)))))))&![X181:$i]:(((![X182:$i]:(((in @ X182 @ X181)=>(in @ X182 @ X170)))&?[X183:$i]:((in @ X183 @ X181)))=>?[X184:$i, X185:$i]:(((((in @ X184 @ X171)&(in @ X185 @ X181))&~(?[X186:$i]:(((in @ X186 @ X184)&(in @ X186 @ X181)))))&![X187:$i]:(((in @ X187 @ X171)=>(![X188:$i]:(((in @ X188 @ X187)=>(in @ X188 @ X184)))|(in @ X185 @ X187)))))))))))), introduced(definition)).
% 0.22/0.28 thf(c_0_65, negated_conjecture, ~((![X141:$i, X142:$i]:((![X143:$i]:(((in @ X143 @ X141)<=>(in @ X143 @ X142)))=>((X141)=(X142))))=>(![X144:$i]:(~(in @ X144 @ emptyset))=>(![X145:$i, X146:$i, X147:$i]:(((in @ X147 @ (setadjoin @ X145 @ X146))<=>(((X147)=(X145))|(in @ X147 @ X146))))=>(![X148:$i, X149:$i]:(((in @ X149 @ (powerset @ X148))<=>![X150:$i]:(((in @ X150 @ X149)=>(in @ X150 @ X148)))))=>(![X151:$i, X152:$i]:(((in @ X152 @ (setunion @ X151))<=>?[X153:$i]:(((in @ X152 @ X153)&(in @ X153 @ X151)))))=>((in @ emptyset @ omega)=>(![X154:$i]:(((in @ X154 @ omega)=>(in @ (setadjoin @ X154 @ X154) @ omega)))=>(![X155:$i]:((((in @ emptyset @ X155)&![X156:$i]:((((in @ X156 @ omega)&(in @ X156 @ X155))=>(in @ (setadjoin @ X156 @ X156) @ X155))))=>![X157:$i]:(((in @ X157 @ omega)=>(in @ X157 @ X155)))))=>(![X158:$i > $i > $o, X159:$i]:((![X160:$i]:(((in @ X160 @ X159)=>?[X161:$i]:(((X158 @ X160 @ X161)&![X162:$i]:(((X158 @ X160 @ X162)=>((X161)=(X162))))))))=>?[X163:$i]:(![X164:$i]:(((in @ X164 @ X163)<=>?[X165:$i]:(((in @ X165 @ X159)&(X158 @ X165 @ X164))))))))=>(![X166:$i]:((?[X167:$i]:((in @ X167 @ X166))=>?[X168:$i]:(((in @ X168 @ X166)&~(?[X169:$i]:(((in @ X169 @ X168)&(in @ X169 @ X166))))))))=>((epred1_0)=>(![X189:$i > $o]:((?[X190:$i]:(((X189 @ X190)&![X191:$i]:(((X189 @ X191)=>((X190)=(X191))))))=>(X189 @ (descr @ (^[Z0:$i]:(X189 @ Z0))))))=>(![X192:$i, X193:$i > $o, X194:$i]:(((in @ X194 @ X192)=>((X193 @ X194)=>(in @ X194 @ (dsetconstr @ X192 @ X193)))))=>(![X195:$i, X196:$i > $o, X197:$i]:(((in @ X197 @ (dsetconstr @ X195 @ X196))=>(in @ X197 @ X195)))=>(![X198:$i, X199:$i > $o, X200:$i]:(((in @ X200 @ (dsetconstr @ X198 @ X199))=>(X199 @ X200)))=>(![X201:$i > $o]:((?[X202:$i]:(((X201 @ X202)&![X203:$i]:(((X201 @ X203)=>((X202)=(X203))))))=>?[X204:$i]:(((X201 @ X204)&![X205:$i]:(((X201 @ X205)=>((X204)=(X205))))))))=>(![X206:$o, X207:$i]:(((in @ X207 @ (prop2set @ ((X206))))=>(X206)))=>(![X208:$i]:(((in @ X208 @ emptyset)=>![X209:$o]:((X209))))=>(![X210:$i]:(((in @ X210 @ emptyset)=>~($true)))=>(![X211:$i]:(~(in @ X211 @ emptyset))=>(![X212:$i > $o]:((?[X213:$i]:(((X212 @ X213)&![X214:$i]:(((X212 @ X214)=>((X213)=(X214))))))=>?[X215:$i]:((X212 @ X215))))=>(![X216:$i, X217:$i]:((![X218:$i]:(((in @ X218 @ X216)=>(in @ X218 @ X217)))=>(![X219:$i]:(((in @ X219 @ X217)=>(in @ X219 @ X216)))=>((X216)=(X217)))))=>(![X220:$i]:((![X221:$i]:(~(in @ X221 @ X220))=>((X220)=(emptyset))))=>(![X222:$i]:((![X223:$i]:(~(in @ X223 @ X222))=>((X222)=(emptyset))))=>(![X224:$i, X225:$i > $o, X226:$i]:(((in @ X226 @ X224)=>((in @ X226 @ (dsetconstr @ X224 @ X225))<=>(X225 @ X226))))=>(![X227:$i]:((((X227)!=(emptyset))=>?[X228:$i]:((in @ X228 @ X227))))=>(![X229:$i, X230:$i > $o, X231:$i]:(((in @ X231 @ X229)=>((X230 @ X231)=>((dsetconstr @ X229 @ X230)!=(emptyset)))))=>(![X232:$i]:((?[X233:$i]:((in @ X233 @ X232))=>((X232)!=(emptyset))))=>(![X234:$i, X235:$i]:((in @ X234 @ (setadjoin @ X234 @ X235)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X236:$i, X237:$i, X238:$i]:(((in @ X238 @ X237)=>(in @ X238 @ (setadjoin @ X236 @ X237))))=>(![X239:$i, X240:$i, X241:$i]:(((in @ X241 @ (setadjoin @ X239 @ X240))=>![X242:$o]:(((((X241)=(X239))=>(X242))=>(((in @ X241 @ X240)=>(X242))=>(X242))))))=>(![X243:$i, X244:$i, X245:$i]:(((in @ X245 @ (setadjoin @ X243 @ X244))=>(((X245)=(X243))|(in @ X245 @ X244))))=>(![X246:$i]:(((dsetconstr @ X246 @ (^[Z0:$i]:($true)))=(X246)))=>(![X247:$i, X248:$i]:((![X249:$i]:(((in @ X249 @ X248)=>(in @ X249 @ X247)))=>(in @ X248 @ (powerset @ X247))))=>(![X250:$i]:((in @ emptyset @ (powerset @ X250)))=>(![X251:$i]:((in @ emptyset @ (powerset @ X251)))=>(![X252:$i, X253:$i, X254:$i]:(((in @ X253 @ (powerset @ X252))=>((in @ X254 @ X253)=>(in @ X254 @ X252))))=>(![X255:$i, X256:$i, X257:$i]:(((in @ X256 @ X257)=>((in @ X257 @ X255)=>(in @ X256 @ (setunion @ X255)))))=>(![X258:$i, X259:$i]:(((in @ X259 @ (setunion @ X258))=>![X260:$o]:((![X261:$i]:(((in @ X259 @ X261)=>((in @ X261 @ X258)=>(X260))))=>(X260)))))=>(![X262:$i, X263:$i]:(((in @ X263 @ X262)=>(in @ X263 @ (powerset @ (setunion @ X262)))))=>![X1:$i > $o]:((?[X264:$i]:(((X1 @ X264)&![X265:$i]:(((X1 @ X265)=>((X264)=(X265))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(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(fof_simplification,[status(thm)],[c_0_51]), c_0_45]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_52]), foundationAx]), wellorderingAx]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_58]), setext]), emptyI]), noeltsimpempty]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_63]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU])])]), c_0_64])).
% 0.22/0.28 thf(c_0_66, negated_conjecture, ![X268:$i, X269:$i, X271:$i, X272:$i, X273:$i, X274:$i, X275:$i, X276:$i, X277:$i, X278:$i, X279:$i, X281:$i, X282:$i, X284:$i, X285:$i, X286:$i, X287:$i, X288:$i, X290:$i, X291:$i > $i > $o, X292:$i, X294:$i, X297:$i, X299:$i, X300:$i, X301:$i, X302:$i, X304:$i, X305:$i > $o, X306:$i, X308:$i, X309:$i > $o, X310:$i, X311:$i, X312:$i > $o, X313:$i, X314:$i, X315:$i > $o, X316:$i, X317:$i > $o, X318:$i, X321:$i, X322:$o, X323:$i, X324:$i, X325:$o, X326:$i, X327:$i, X328:$i > $o, X329:$i, X332:$i, X333:$i, X336:$i, X338:$i, X340:$i, X341:$i > $o, X342:$i, X343:$i, X345:$i, X346:$i > $o, X347:$i, X348:$i, X349:$i, X350:$i, X351:$i, X352:$i, X353:$i, X354:$i, X355:$i, X356:$i, X357:$i, X358:$o, X359:$i, X360:$i, X361:$i, X362:$i, X363:$i, X364:$i, X366:$i, X367:$i, X368:$i, X369:$i, X370:$i, X371:$i, X372:$i, X373:$i, X374:$i, X375:$i, X376:$o, X378:$i, X379:$i, X382:$i, X383:$i]:((((~(in @ (esk1_2 @ X268 @ X269) @ X268)|~(in @ (esk1_2 @ X268 @ X269) @ X269)|((X268)=(X269)))&((in @ (esk1_2 @ X268 @ X269) @ X268)|(in @ (esk1_2 @ X268 @ X269) @ X269)|((X268)=(X269))))&(~(in @ X271 @ emptyset)&(((~(in @ X274 @ (setadjoin @ X272 @ X273))|(((X274)=(X272))|(in @ X274 @ X273)))&((((X274)!=(X272))|(in @ X274 @ (setadjoin @ X272 @ X273)))&(~(in @ X274 @ X273)|(in @ X274 @ (setadjoin @ X272 @ X273)))))&(((~(in @ X276 @ (powerset @ X275))|(~(in @ X277 @ X276)|(in @ X277 @ X275)))&(((in @ (esk2_2 @ X278 @ X279) @ X279)|(in @ X279 @ (powerset @ X278)))&(~(in @ (esk2_2 @ X278 @ X279) @ X278)|(in @ X279 @ (powerset @ X278)))))&(((((in @ X282 @ (esk3_2 @ X281 @ X282))|~(in @ X282 @ (setunion @ X281)))&((in @ (esk3_2 @ X281 @ X282) @ X281)|~(in @ X282 @ (setunion @ X281))))&(~(in @ X285 @ X286)|~(in @ X286 @ X284)|(in @ X285 @ (setunion @ X284))))&((in @ emptyset @ omega)&((~(in @ X287 @ omega)|(in @ (setadjoin @ X287 @ X287) @ omega))&(((((in @ (esk4_1 @ X288) @ omega)|~(in @ emptyset @ X288)|(~(in @ X290 @ omega)|(in @ X290 @ X288)))&((in @ (esk4_1 @ X288) @ X288)|~(in @ emptyset @ X288)|(~(in @ X290 @ omega)|(in @ X290 @ X288))))&(~(in @ (setadjoin @ (esk4_1 @ X288) @ (esk4_1 @ X288)) @ X288)|~(in @ emptyset @ X288)|(~(in @ X290 @ omega)|(in @ X290 @ X288))))&((((((in @ (esk8_3 @ X291 @ X292 @ X297) @ X292)|~(in @ X297 @ (esk7_2 @ X291 @ X292))|(in @ (esk5_2 @ X291 @ X292) @ X292))&((X291 @ (esk8_3 @ X291 @ X292 @ X297) @ X297)|~(in @ X297 @ (esk7_2 @ X291 @ X292))|(in @ (esk5_2 @ X291 @ X292) @ X292)))&(~(in @ X300 @ X292)|~(X291 @ X300 @ X299)|(in @ X299 @ (esk7_2 @ X291 @ X292))|(in @ (esk5_2 @ X291 @ X292) @ X292)))&(((((in @ (esk8_3 @ X291 @ X292 @ X297) @ X292)|~(in @ X297 @ (esk7_2 @ X291 @ X292))|((X291 @ (esk5_2 @ X291 @ X292) @ (esk6_3 @ X291 @ X292 @ X294))|~(X291 @ (esk5_2 @ X291 @ X292) @ X294)))&((X291 @ (esk8_3 @ X291 @ X292 @ X297) @ X297)|~(in @ X297 @ (esk7_2 @ X291 @ X292))|((X291 @ (esk5_2 @ X291 @ X292) @ (esk6_3 @ X291 @ X292 @ X294))|~(X291 @ (esk5_2 @ X291 @ X292) @ X294))))&(~(in @ X300 @ X292)|~(X291 @ X300 @ X299)|(in @ X299 @ (esk7_2 @ X291 @ X292))|((X291 @ (esk5_2 @ X291 @ X292) @ (esk6_3 @ X291 @ X292 @ X294))|~(X291 @ (esk5_2 @ X291 @ X292) @ X294))))&((((in @ (esk8_3 @ X291 @ X292 @ X297) @ X292)|~(in @ X297 @ (esk7_2 @ X291 @ X292))|(((X294)!=(esk6_3 @ X291 @ X292 @ X294))|~(X291 @ (esk5_2 @ X291 @ X292) @ X294)))&((X291 @ (esk8_3 @ X291 @ X292 @ X297) @ X297)|~(in @ X297 @ (esk7_2 @ X291 @ X292))|(((X294)!=(esk6_3 @ X291 @ X292 @ X294))|~(X291 @ (esk5_2 @ X291 @ X292) @ X294))))&(~(in @ X300 @ X292)|~(X291 @ X300 @ X299)|(in @ X299 @ (esk7_2 @ X291 @ X292))|(((X294)!=(esk6_3 @ X291 @ X292 @ X294))|~(X291 @ (esk5_2 @ X291 @ X292) @ X294))))))&((((in @ (esk9_1 @ X301) @ X301)|~(in @ X302 @ X301))&(~(in @ X304 @ (esk9_1 @ X301))|~(in @ X304 @ X301)|~(in @ X302 @ X301)))&((epred1_0)&((((X305 @ (esk10_2 @ X305 @ X306))|~(X305 @ X306)|(X305 @ (descr @ X305)))&(((X306)!=(esk10_2 @ X305 @ X306))|~(X305 @ X306)|(X305 @ (descr @ X305))))&((~(in @ X310 @ X308)|(~(X309 @ X310)|(in @ X310 @ (dsetconstr @ X308 @ X309))))&((~(in @ X313 @ (dsetconstr @ X311 @ X312))|(in @ X313 @ X311))&((~(in @ X316 @ (dsetconstr @ X314 @ X315))|(X315 @ X316))&(((((X317 @ (esk12_1 @ X317))|((X317 @ (esk11_2 @ X317 @ X318))|~(X317 @ X318)))&(~(X317 @ X321)|((esk12_1 @ X317)=(X321))|((X317 @ (esk11_2 @ X317 @ X318))|~(X317 @ X318))))&(((X317 @ (esk12_1 @ X317))|(((X318)!=(esk11_2 @ X317 @ X318))|~(X317 @ X318)))&(~(X317 @ X321)|((esk12_1 @ X317)=(X321))|(((X318)!=(esk11_2 @ X317 @ X318))|~(X317 @ X318)))))&((~(in @ X323 @ (prop2set @ ((X322))))|(X322))&((~(in @ X324 @ emptyset)|(X325))&((~(in @ X326 @ emptyset)|~($true))&(~(in @ X327 @ emptyset)&((((X328 @ (esk13_2 @ X328 @ X329))|~(X328 @ X329)|(X328 @ (esk14_1 @ X328)))&(((X329)!=(esk13_2 @ X328 @ X329))|~(X328 @ X329)|(X328 @ (esk14_1 @ X328))))&(((((in @ (esk16_2 @ X332 @ X333) @ X333)|((X332)=(X333))|(in @ (esk15_2 @ X332 @ X333) @ X332))&(~(in @ (esk16_2 @ X332 @ X333) @ X332)|((X332)=(X333))|(in @ (esk15_2 @ X332 @ X333) @ X332)))&(((in @ (esk16_2 @ X332 @ X333) @ X333)|((X332)=(X333))|~(in @ (esk15_2 @ X332 @ X333) @ X333))&(~(in @ (esk16_2 @ X332 @ X333) @ X332)|((X332)=(X333))|~(in @ (esk15_2 @ X332 @ X333) @ X333))))&(((in @ (esk17_1 @ X336) @ X336)|((X336)=(emptyset)))&(((in @ (esk18_1 @ X338) @ X338)|((X338)=(emptyset)))&(((~(in @ X342 @ (dsetconstr @ X340 @ X341))|(X341 @ X342)|~(in @ X342 @ X340))&(~(X341 @ X342)|(in @ X342 @ (dsetconstr @ X340 @ X341))|~(in @ X342 @ X340)))&((((X343)=(emptyset))|(in @ (esk19_1 @ X343) @ X343))&((~(in @ X347 @ X345)|(~(X346 @ X347)|((dsetconstr @ X345 @ X346)!=(emptyset))))&((~(in @ X349 @ X348)|((X348)!=(emptyset)))&((in @ X350 @ (setadjoin @ X350 @ X351))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X354 @ X353)|(in @ X354 @ (setadjoin @ X352 @ X353)))&(((((in @ X357 @ X356)|(X358)|((X357)=(X355))|~(in @ X357 @ (setadjoin @ X355 @ X356)))&(~(X358)|(X358)|((X357)=(X355))|~(in @ X357 @ (setadjoin @ X355 @ X356))))&(((in @ X357 @ X356)|(X358)|~(X358)|~(in @ X357 @ (setadjoin @ X355 @ X356)))&(~(X358)|(X358)|~(X358)|~(in @ X357 @ (setadjoin @ X355 @ X356)))))&((~(in @ X361 @ (setadjoin @ X359 @ X360))|(((X361)=(X359))|(in @ X361 @ X360)))&(((dsetconstr @ X362 @ (^[Z0:$i]:($true)))=(X362))&((((in @ (esk20_2 @ X363 @ X364) @ X364)|(in @ X364 @ (powerset @ X363)))&(~(in @ (esk20_2 @ X363 @ X364) @ X363)|(in @ X364 @ (powerset @ X363))))&((in @ emptyset @ (powerset @ X366))&((in @ emptyset @ (powerset @ X367))&((~(in @ X369 @ (powerset @ X368))|(~(in @ X370 @ X369)|(in @ X370 @ X368)))&((~(in @ X372 @ X373)|(~(in @ X373 @ X371)|(in @ X372 @ (setunion @ X371))))&((((in @ X375 @ (esk21_3 @ X374 @ X375 @ X376))|(X376)|~(in @ X375 @ (setunion @ X374)))&(((in @ (esk21_3 @ X374 @ X375 @ X376) @ X374)|(X376)|~(in @ X375 @ (setunion @ X374)))&(~(X376)|(X376)|~(in @ X375 @ (setunion @ X374)))))&((~(in @ X379 @ X378)|(in @ X379 @ (powerset @ (setunion @ X378))))&(((epred2_0 @ esk22_0)&(~(epred2_0 @ X382)|((esk22_0)=(X382))))&((~(epred2_0 @ (esk23_1 @ X383))|((esk23_1 @ X383)!=(X383)))&((epred2_0 @ (esk23_1 @ X383))|((esk23_1 @ X383)=(X383))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])])])])])).
% 0.22/0.28 thf(c_0_67, negated_conjecture, ![X2:$i]:((((esk22_0)=(X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_66])).
% 0.22/0.28 thf(c_0_68, negated_conjecture, ![X2:$i]:(((epred2_0 @ (esk23_1 @ X2))|((esk23_1 @ X2)=(X2)))), inference(split_conjunct,[status(thm)],[c_0_66])).
% 0.22/0.28 thf(c_0_69, negated_conjecture, ![X2:$i]:((((esk23_1 @ X2)=(esk22_0))|((esk23_1 @ X2)=(X2)))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 0.22/0.28 thf(c_0_70, negated_conjecture, ![X2:$i]:((~((epred2_0 @ (esk23_1 @ X2)))|((esk23_1 @ X2)!=(X2)))), inference(split_conjunct,[status(thm)],[c_0_66])).
% 0.22/0.28 thf(c_0_71, negated_conjecture, ((esk23_1 @ esk22_0)=(esk22_0)), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_69])])).
% 0.22/0.28 thf(c_0_72, negated_conjecture, (epred2_0 @ esk22_0), inference(split_conjunct,[status(thm)],[c_0_66])).
% 0.22/0.28 thf(c_0_73, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72])]), ['proof']).
% 0.22/0.28 % SZS output end CNFRefutation
% 0.22/0.28 % Parsed axioms : 97
% 0.22/0.28 % Removed by relevancy pruning/SinE : 0
% 0.22/0.28 % Initial clauses : 146
% 0.22/0.28 % Removed in clause preprocessing : 56
% 0.22/0.28 % Initial clauses in saturation : 90
% 0.22/0.28 % Processed clauses : 46
% 0.22/0.28 % ...of these trivial : 1
% 0.22/0.28 % ...subsumed : 10
% 0.22/0.28 % ...remaining for further processing : 35
% 0.22/0.28 % Other redundant clauses eliminated : 5
% 0.22/0.28 % Clauses deleted for lack of memory : 0
% 0.22/0.28 % Backward-subsumed : 0
% 0.22/0.28 % Backward-rewritten : 2
% 0.22/0.28 % Generated clauses : 50
% 0.22/0.28 % ...of the previous two non-redundant : 36
% 0.22/0.28 % ...aggressively subsumed : 0
% 0.22/0.28 % Contextual simplify-reflections : 0
% 0.22/0.28 % Paramodulations : 43
% 0.22/0.28 % Factorizations : 2
% 0.22/0.28 % NegExts : 0
% 0.22/0.28 % Equation resolutions : 5
% 0.22/0.28 % Disequality decompositions : 0
% 0.22/0.28 % Total rewrite steps : 14
% 0.22/0.28 % ...of those cached : 5
% 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 : 31
% 0.22/0.28 % Positive orientable unit clauses : 13
% 0.22/0.28 % Positive unorientable unit clauses: 0
% 0.22/0.28 % Negative unit clauses : 2
% 0.22/0.28 % Non-unit-clauses : 16
% 0.22/0.28 % Current number of unprocessed clauses: 80
% 0.22/0.28 % ...number of literals in the above : 251
% 0.22/0.28 % Current number of archived formulas : 0
% 0.22/0.28 % Current number of archived clauses : 2
% 0.22/0.28 % Clause-clause subsumption calls (NU) : 31
% 0.22/0.28 % Rec. Clause-clause subsumption calls : 26
% 0.22/0.28 % Non-unit clause-clause subsumptions : 4
% 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 : 2
% 0.22/0.28 % BW rewrite match successes : 2
% 0.22/0.28 % Condensation attempts : 0
% 0.22/0.28 % Condensation successes : 0
% 0.22/0.28 % Termbank termtop insertions : 12518
% 0.22/0.28 % Search garbage collected termcells : 4569
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.011 s
% 0.22/0.28 % System time : 0.005 s
% 0.22/0.28 % Total time : 0.016 s
% 0.22/0.28 % Maximum resident set size: 4756 pages
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.037 s
% 0.22/0.28 % System time : 0.023 s
% 0.22/0.28 % Total time : 0.060 s
% 0.22/0.28 % Maximum resident set size: 4864 pages
% 0.22/0.28 % E exiting
%------------------------------------------------------------------------------