%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU524^1 : 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 : n010.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 08:26:34 AM UTC 2026
% Result : Theorem 0.13s 0.30s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU524^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.17 % Computer : n010.cluster.edu
% 0.13/0.17 % Model : x86_64 x86_64
% 0.13/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17 % Memory : 8046.5625MB
% 0.13/0.17 % OS : Linux 6.8.0-71-generic
% 0.13/0.17 % CPULimit : 300
% 0.13/0.17 % WCLimit : 300
% 0.13/0.17 % DateTime : Tue Sep 29 13:48:33 UTC 2026
% 0.13/0.17 % CPUTime :
% 0.13/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.21 Running higher-order theorem proving
% 0.13/0.23 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.spsenloBST/E---3.1_2882026.p
% 0.13/0.30 % Version: 3.5.1-ho
% 0.13/0.30 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.13/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.13/0.30 % Starting sh5l with 300s (1) cores
% 0.13/0.30 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.30 % Starting new_bool_2 with 300s (1) cores
% 0.13/0.30 % sh5l with pid 2882059 completed with status 0
% 0.13/0.30 % Result found by sh5l
% 0.13/0.30 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.13/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.13/0.30 % Starting sh5l with 300s (1) cores
% 0.13/0.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.13/0.30 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.30 % Search class: HGHSM-FFMS31-SHFSMSBN
% 0.13/0.30 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.30 % SubtermCWHack with pid 2882064 completed with status 0
% 0.13/0.30 % Result found by SubtermCWHack
% 0.13/0.30 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.13/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.13/0.30 % Starting sh5l with 300s (1) cores
% 0.13/0.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.13/0.30 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.30 % Search class: HGHSM-FFMS31-SHFSMSBN
% 0.13/0.30 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.30 % Preprocessing time : 0.002 s
% 0.13/0.30
% 0.13/0.30 % Proof found!
% 0.13/0.30 % SZS status Theorem
% 0.13/0.30 % SZS output start CNFRefutation
% 0.13/0.30 thf(decl_23, type, in: $i > $i > $o).
% 0.13/0.30 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.13/0.30 thf(decl_25, type, setextAx: $o).
% 0.13/0.30 thf(decl_26, type, emptyset: $i).
% 0.13/0.30 thf(decl_27, type, emptysetAx: $o).
% 0.13/0.30 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.13/0.30 thf(decl_29, type, setadjoinAx: $o).
% 0.13/0.30 thf(decl_30, type, powerset: $i > $i).
% 0.13/0.30 thf(decl_31, type, powersetAx: $o).
% 0.13/0.30 thf(decl_32, type, setunion: $i > $i).
% 0.13/0.30 thf(decl_33, type, setunionAx: $o).
% 0.13/0.30 thf(decl_34, type, omega: $i).
% 0.13/0.30 thf(decl_35, type, omega0Ax: $o).
% 0.13/0.30 thf(decl_36, type, omegaSAx: $o).
% 0.13/0.30 thf(decl_37, type, omegaIndAx: $o).
% 0.13/0.30 thf(decl_38, type, replAx: $o).
% 0.13/0.30 thf(decl_39, type, foundationAx: $o).
% 0.13/0.30 thf(decl_40, type, wellorderingAx: $o).
% 0.13/0.30 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.13/0.30 thf(decl_42, type, descrp: $o).
% 0.13/0.30 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.13/0.30 thf(decl_44, type, dsetconstrI: $o).
% 0.13/0.30 thf(decl_45, type, dsetconstrEL: $o).
% 0.13/0.30 thf(decl_46, type, dsetconstrER: $o).
% 0.13/0.30 thf(decl_47, type, exuE1: $o).
% 0.13/0.30 thf(decl_48, type, prop2set: $o > $i).
% 0.13/0.30 thf(decl_49, type, prop2setE: $o).
% 0.13/0.30 thf(decl_50, type, emptysetE: $o).
% 0.13/0.30 thf(decl_51, type, emptysetimpfalse: $o).
% 0.13/0.30 thf(decl_52, type, notinemptyset: $o).
% 0.13/0.30 thf(decl_53, type, exuE3e: $o).
% 0.13/0.30 thf(decl_54, type, setext: $o).
% 0.13/0.30 thf(decl_55, type, emptyI: $o).
% 0.13/0.30 thf(decl_56, type, noeltsimpempty: $o).
% 0.13/0.30 thf(decl_57, type, setbeta: $o).
% 0.13/0.30 thf(decl_58, type, nonempty: $i > $o).
% 0.13/0.30 thf(decl_59, type, nonemptyE1: $o).
% 0.13/0.30 thf(decl_60, type, nonemptyI: $o).
% 0.13/0.30 thf(decl_61, type, nonemptyI1: $o).
% 0.13/0.30 thf(decl_62, type, setadjoinIL: $o).
% 0.13/0.30 thf(decl_63, type, emptyinunitempty: $o).
% 0.13/0.30 thf(decl_64, type, setadjoinIR: $o).
% 0.13/0.30 thf(decl_65, type, setadjoinE: $o).
% 0.13/0.30 thf(decl_66, type, setadjoinOr: $o).
% 0.13/0.30 thf(decl_67, type, setoftrueEq: $o).
% 0.13/0.30 thf(decl_68, type, powersetI: $o).
% 0.13/0.30 thf(decl_69, type, emptyinPowerset: $o).
% 0.13/0.30 thf(decl_70, type, emptyInPowerset: $o).
% 0.13/0.30 thf(decl_71, type, powersetE: $o).
% 0.13/0.30 thf(decl_72, type, setunionI: $o).
% 0.13/0.30 thf(decl_73, type, setunionE: $o).
% 0.13/0.30 thf(decl_74, type, epred1_0: $o).
% 0.13/0.30 thf(decl_75, type, esk1_2: $i > $i > $i).
% 0.13/0.30 thf(decl_76, type, esk2_2: $i > $i > $i).
% 0.13/0.30 thf(decl_77, type, esk3_2: $i > $i > $i).
% 0.13/0.30 thf(decl_78, type, esk4_1: $i > $i).
% 0.13/0.30 thf(decl_79, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.13/0.30 thf(decl_80, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.13/0.30 thf(decl_81, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.13/0.30 thf(decl_82, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.13/0.30 thf(decl_83, type, esk9_1: $i > $i).
% 0.13/0.30 thf(decl_84, type, esk10_2: ($i > $o) > $i > $i).
% 0.13/0.30 thf(decl_85, type, esk11_2: ($i > $o) > $i > $i).
% 0.13/0.30 thf(decl_86, type, esk12_1: ($i > $o) > $i).
% 0.13/0.30 thf(decl_87, type, esk13_2: ($i > $o) > $i > $i).
% 0.13/0.30 thf(decl_88, type, esk14_1: ($i > $o) > $i).
% 0.13/0.30 thf(decl_89, type, esk15_2: $i > $i > $i).
% 0.13/0.30 thf(decl_90, type, esk16_2: $i > $i > $i).
% 0.13/0.30 thf(decl_91, type, esk17_1: $i > $i).
% 0.13/0.30 thf(decl_92, type, esk18_1: $i > $i).
% 0.13/0.30 thf(decl_93, type, esk19_1: $i > $i).
% 0.13/0.30 thf(decl_94, type, esk20_2: $i > $i > $i).
% 0.13/0.30 thf(decl_95, type, esk21_3: $i > $i > $o > $i).
% 0.13/0.30 thf(decl_96, type, esk22_0: $i).
% 0.13/0.30 thf(decl_97, type, esk23_0: $i).
% 0.13/0.30 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', replAx)).
% 0.13/0.30 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', exu)).
% 0.13/0.30 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', descrp)).
% 0.13/0.30 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', exuE3e)).
% 0.13/0.30 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', prop2set)).
% 0.13/0.30 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', exuE1)).
% 0.13/0.30 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', nonempty)).
% 0.13/0.30 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', nonemptyI)).
% 0.13/0.30 thf(subPowSU, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', subPowSU)).
% 0.13/0.30 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', setoftrueEq)).
% 0.13/0.30 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', dsetconstrEL)).
% 0.13/0.30 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', dsetconstrI)).
% 0.13/0.30 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', dsetconstrER)).
% 0.13/0.30 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', prop2setE)).
% 0.13/0.30 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', nonemptyI1)).
% 0.13/0.30 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', nonemptyE1)).
% 0.13/0.30 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', setbeta)).
% 0.13/0.30 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', setunionI)).
% 0.13/0.30 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.spsenloBST/E---3.1_2882026.p', setadjoinE)).
% 0.13/0.30 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', setadjoinOr)).
% 0.13/0.30 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', setunionAx)).
% 0.13/0.30 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', powersetE)).
% 0.13/0.30 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', emptyInPowerset)).
% 0.13/0.30 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', emptyinPowerset)).
% 0.13/0.30 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', powersetI)).
% 0.13/0.30 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', powersetAx)).
% 0.13/0.30 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', omegaSAx)).
% 0.13/0.30 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', wellorderingAx)).
% 0.13/0.30 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', foundationAx)).
% 0.13/0.30 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.spsenloBST/E---3.1_2882026.p', omegaIndAx)).
% 0.13/0.30 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.spsenloBST/E---3.1_2882026.p', setext)).
% 0.13/0.30 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', notinemptyset)).
% 0.13/0.30 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', emptysetimpfalse)).
% 0.13/0.30 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', emptysetE)).
% 0.13/0.30 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', emptyI)).
% 0.13/0.30 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', emptyinunitempty)).
% 0.13/0.30 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', setadjoinIL)).
% 0.13/0.30 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', noeltsimpempty)).
% 0.13/0.30 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', setadjoinIR)).
% 0.13/0.30 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.spsenloBST/E---3.1_2882026.p', setunionE)).
% 0.13/0.30 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', omega0Ax)).
% 0.13/0.30 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', setadjoinAx)).
% 0.13/0.30 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', emptysetAx)).
% 0.13/0.30 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.spsenloBST/E---3.1_2882026.p', setextAx)).
% 0.13/0.30 thf(c_0_44, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.13/0.30 thf(c_0_45, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.13/0.30 thf(c_0_46, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.13/0.30 thf(c_0_47, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.13/0.30 thf(c_0_48, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])).
% 0.13/0.30 thf(c_0_49, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.13/0.30 thf(c_0_50, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.13/0.30 thf(c_0_51, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.13/0.30 thf(c_0_52, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[subPowSU])).
% 0.13/0.30 thf(c_0_53, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X130:$i]:(((((X6 @ X2 @ X130)))&(![X131:$i]:(((((X6 @ X2 @ X131)))=>(((X130)=(X131)))))))))))))=>(?[X5:$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])).
% 0.13/0.30 thf(c_0_54, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.13/0.30 thf(c_0_55, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.13/0.30 thf(c_0_56, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.13/0.30 thf(c_0_57, plain, ((descrp)=(![X1:$i > $o]:((((?[X132:$i]:(((((X1 @ X132)))&(![X133:$i]:(((((X1 @ X133)))=>(((X132)=(X133))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_46, c_0_45])).
% 0.13/0.30 thf(c_0_58, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.13/0.30 thf(c_0_59, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X136:$i]:(((((X1 @ X136)))&(![X137:$i]:(((((X1 @ X137)))=>(((X136)=(X137))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_47, c_0_45])).
% 0.13/0.30 thf(c_0_60, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_48])).
% 0.13/0.30 thf(c_0_61, plain, ((exuE1)=(![X1:$i > $o]:((((?[X134:$i]:(((((X1 @ X134)))&(![X135:$i]:(((((X1 @ X135)))=>(((X134)=(X135))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_49, c_0_45])).
% 0.13/0.30 thf(c_0_62, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_50])).
% 0.13/0.30 thf(c_0_63, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_51, c_0_50])).
% 0.13/0.30 thf(c_0_64, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_50])).
% 0.13/0.30 thf(c_0_65, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.13/0.30 thf(c_0_66, plain, ((epred1_0)<=>![X167:$i]:(?[X168:$i]:((((![X169:$i]:(((in @ X169 @ X168)=>![X170:$i]:(((in @ X170 @ X169)=>(in @ X170 @ X167)))))&![X171:$i, X172:$i]:((((in @ X171 @ X167)&(in @ X172 @ X167))=>(![X173:$i]:(((in @ X173 @ X168)=>((in @ X171 @ X173)<=>(in @ X172 @ X173))))=>((X171)=(X172))))))&![X174:$i, X175:$i]:((((in @ X174 @ X168)&(in @ X175 @ X168))=>(![X176:$i]:(((in @ X176 @ X174)=>(in @ X176 @ X175)))|![X177:$i]:(((in @ X177 @ X175)=>(in @ X177 @ X174)))))))&![X178:$i]:(((![X179:$i]:(((in @ X179 @ X178)=>(in @ X179 @ X167)))&?[X180:$i]:((in @ X180 @ X178)))=>?[X181:$i, X182:$i]:(((((in @ X181 @ X168)&(in @ X182 @ X178))&~(?[X183:$i]:(((in @ X183 @ X181)&(in @ X183 @ X178)))))&![X184:$i]:(((in @ X184 @ X168)=>(![X185:$i]:(((in @ X185 @ X184)=>(in @ X185 @ X181)))|(in @ X182 @ X184)))))))))))), introduced(definition)).
% 0.13/0.30 thf(c_0_67, negated_conjecture, ~((![X138:$i, X139:$i]:((![X140:$i]:(((in @ X140 @ X138)<=>(in @ X140 @ X139)))=>((X138)=(X139))))=>(![X141:$i]:(~(in @ X141 @ emptyset))=>(![X142:$i, X143:$i, X144:$i]:(((in @ X144 @ (setadjoin @ X142 @ X143))<=>(((X144)=(X142))|(in @ X144 @ X143))))=>(![X145:$i, X146:$i]:(((in @ X146 @ (powerset @ X145))<=>![X147:$i]:(((in @ X147 @ X146)=>(in @ X147 @ X145)))))=>(![X148:$i, X149:$i]:(((in @ X149 @ (setunion @ X148))<=>?[X150:$i]:(((in @ X149 @ X150)&(in @ X150 @ X148)))))=>((in @ emptyset @ omega)=>(![X151:$i]:(((in @ X151 @ omega)=>(in @ (setadjoin @ X151 @ X151) @ omega)))=>(![X152:$i]:((((in @ emptyset @ X152)&![X153:$i]:((((in @ X153 @ omega)&(in @ X153 @ X152))=>(in @ (setadjoin @ X153 @ X153) @ X152))))=>![X154:$i]:(((in @ X154 @ omega)=>(in @ X154 @ X152)))))=>(![X155:$i > $i > $o, X156:$i]:((![X157:$i]:(((in @ X157 @ X156)=>?[X158:$i]:(((X155 @ X157 @ X158)&![X159:$i]:(((X155 @ X157 @ X159)=>((X158)=(X159))))))))=>?[X160:$i]:(![X161:$i]:(((in @ X161 @ X160)<=>?[X162:$i]:(((in @ X162 @ X156)&(X155 @ X162 @ X161))))))))=>(![X163:$i]:((?[X164:$i]:((in @ X164 @ X163))=>?[X165:$i]:(((in @ X165 @ X163)&~(?[X166:$i]:(((in @ X166 @ X165)&(in @ X166 @ X163))))))))=>((epred1_0)=>(![X186:$i > $o]:((?[X187:$i]:(((X186 @ X187)&![X188:$i]:(((X186 @ X188)=>((X187)=(X188))))))=>(X186 @ (descr @ (^[Z0:$i]:(X186 @ Z0))))))=>(![X189:$i, X190:$i > $o, X191:$i]:(((in @ X191 @ X189)=>((X190 @ X191)=>(in @ X191 @ (dsetconstr @ X189 @ X190)))))=>(![X192:$i, X193:$i > $o, X194:$i]:(((in @ X194 @ (dsetconstr @ X192 @ X193))=>(in @ X194 @ X192)))=>(![X195:$i, X196:$i > $o, X197:$i]:(((in @ X197 @ (dsetconstr @ X195 @ X196))=>(X196 @ X197)))=>(![X198:$i > $o]:((?[X199:$i]:(((X198 @ X199)&![X200:$i]:(((X198 @ X200)=>((X199)=(X200))))))=>?[X201:$i]:(((X198 @ X201)&![X202:$i]:(((X198 @ X202)=>((X201)=(X202))))))))=>(![X203:$o, X204:$i]:(((in @ X204 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X203)))))=>(X203)))=>(![X205:$i]:(((in @ X205 @ emptyset)=>![X206:$o]:((X206))))=>(![X207:$i]:(((in @ X207 @ emptyset)=>~($true)))=>(![X208:$i]:(~(in @ X208 @ emptyset))=>(![X209:$i > $o]:((?[X210:$i]:(((X209 @ X210)&![X211:$i]:(((X209 @ X211)=>((X210)=(X211))))))=>?[X212:$i]:((X209 @ X212))))=>(![X213:$i, X214:$i]:((![X215:$i]:(((in @ X215 @ X213)=>(in @ X215 @ X214)))=>(![X216:$i]:(((in @ X216 @ X214)=>(in @ X216 @ X213)))=>((X213)=(X214)))))=>(![X217:$i]:((![X218:$i]:(~(in @ X218 @ X217))=>((X217)=(emptyset))))=>(![X219:$i]:((![X220:$i]:(~(in @ X220 @ X219))=>((X219)=(emptyset))))=>(![X221:$i, X222:$i > $o, X223:$i]:(((in @ X223 @ X221)=>((in @ X223 @ (dsetconstr @ X221 @ X222))<=>(X222 @ X223))))=>(![X224:$i]:((((X224)!=(emptyset))=>?[X225:$i]:((in @ X225 @ X224))))=>(![X226:$i, X227:$i > $o, X228:$i]:(((in @ X228 @ X226)=>((X227 @ X228)=>((dsetconstr @ X226 @ X227)!=(emptyset)))))=>(![X229:$i]:((?[X230:$i]:((in @ X230 @ X229))=>((X229)!=(emptyset))))=>(![X231:$i, X232:$i]:((in @ X231 @ (setadjoin @ X231 @ X232)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X233:$i, X234:$i, X235:$i]:(((in @ X235 @ X234)=>(in @ X235 @ (setadjoin @ X233 @ X234))))=>(![X236:$i, X237:$i, X238:$i]:(((in @ X238 @ (setadjoin @ X236 @ X237))=>![X239:$o]:(((((X238)=(X236))=>(X239))=>(((in @ X238 @ X237)=>(X239))=>(X239))))))=>(![X240:$i, X241:$i, X242:$i]:(((in @ X242 @ (setadjoin @ X240 @ X241))=>(((X242)=(X240))|(in @ X242 @ X241))))=>(![X243:$i]:(((dsetconstr @ X243 @ (^[Z0:$i]:($true)))=(X243)))=>(![X244:$i, X245:$i]:((![X246:$i]:(((in @ X246 @ X245)=>(in @ X246 @ X244)))=>(in @ X245 @ (powerset @ X244))))=>(![X247:$i]:((in @ emptyset @ (powerset @ X247)))=>(![X248:$i]:((in @ emptyset @ (powerset @ X248)))=>(![X249:$i, X250:$i, X251:$i]:(((in @ X250 @ (powerset @ X249))=>((in @ X251 @ X250)=>(in @ X251 @ X249))))=>(![X252:$i, X253:$i, X254:$i]:(((in @ X253 @ X254)=>((in @ X254 @ X252)=>(in @ X253 @ (setunion @ X252)))))=>(![X255:$i, X256:$i]:(((in @ X256 @ (setunion @ X255))=>![X257:$o]:((![X258:$i]:(((in @ X256 @ X258)=>((in @ X258 @ X255)=>(X257))))=>(X257)))))=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_52, c_0_53]), setunionI]), setadjoinE]), setadjoinOr]), c_0_54]), setunionAx]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), powersetAx]), c_0_55]), omegaSAx]), c_0_56]), c_0_57]), wellorderingAx]), foundationAx]), omegaIndAx]), c_0_58]), setext]), c_0_59]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_60]), c_0_61]), emptyI]), emptyinunitempty]), setadjoinIL]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), noeltsimpempty]), setadjoinIR]), setunionE]), omega0Ax]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_66])).
% 0.13/0.30 thf(c_0_68, negated_conjecture, ![X259:$i, X260:$i, X262:$i, X263:$i, X264:$i, X265:$i, X266:$i, X267:$i, X268:$i, X269:$i, X270:$i, X272:$i, X273:$i, X275:$i, X276:$i, X277:$i, X278:$i, X279:$i, X281:$i, X282:$i > $i > $o, X283:$i, X285:$i, X288:$i, X290:$i, X291:$i, X292:$i, X293:$i, X295:$i, X296:$i > $o, X297:$i, X299:$i, X300:$i > $o, X301:$i, X302:$i, X303:$i > $o, X304:$i, X305:$i, X306:$i > $o, X307:$i, X308:$i > $o, X309:$i, X312:$i, X313:$o, X314:$i, X315:$i, X316:$o, X317:$i, X318:$i, X319:$i > $o, X320:$i, X323:$i, X324:$i, X327:$i, X329:$i, X331:$i, X332:$i > $o, X333:$i, X334:$i, X336:$i, X337:$i > $o, X338:$i, X339:$i, X340:$i, X341:$i, X342:$i, X343:$i, X344:$i, X345:$i, X346:$i, X347:$i, X348:$i, X349:$o, X350:$i, X351:$i, X352:$i, X353:$i, X354:$i, X355:$i, X357:$i, X358:$i, X359:$i, X360:$i, X361:$i, X362:$i, X363:$i, X364:$i, X365:$i, X366:$i, X367:$o]:((((~(in @ (esk1_2 @ X259 @ X260) @ X259)|~(in @ (esk1_2 @ X259 @ X260) @ X260)|((X259)=(X260)))&((in @ (esk1_2 @ X259 @ X260) @ X259)|(in @ (esk1_2 @ X259 @ X260) @ X260)|((X259)=(X260))))&(~(in @ X262 @ emptyset)&(((~(in @ X265 @ (setadjoin @ X263 @ X264))|(((X265)=(X263))|(in @ X265 @ X264)))&((((X265)!=(X263))|(in @ X265 @ (setadjoin @ X263 @ X264)))&(~(in @ X265 @ X264)|(in @ X265 @ (setadjoin @ X263 @ X264)))))&(((~(in @ X267 @ (powerset @ X266))|(~(in @ X268 @ X267)|(in @ X268 @ X266)))&(((in @ (esk2_2 @ X269 @ X270) @ X270)|(in @ X270 @ (powerset @ X269)))&(~(in @ (esk2_2 @ X269 @ X270) @ X269)|(in @ X270 @ (powerset @ X269)))))&(((((in @ X273 @ (esk3_2 @ X272 @ X273))|~(in @ X273 @ (setunion @ X272)))&((in @ (esk3_2 @ X272 @ X273) @ X272)|~(in @ X273 @ (setunion @ X272))))&(~(in @ X276 @ X277)|~(in @ X277 @ X275)|(in @ X276 @ (setunion @ X275))))&((in @ emptyset @ omega)&((~(in @ X278 @ omega)|(in @ (setadjoin @ X278 @ X278) @ omega))&(((((in @ (esk4_1 @ X279) @ omega)|~(in @ emptyset @ X279)|(~(in @ X281 @ omega)|(in @ X281 @ X279)))&((in @ (esk4_1 @ X279) @ X279)|~(in @ emptyset @ X279)|(~(in @ X281 @ omega)|(in @ X281 @ X279))))&(~(in @ (setadjoin @ (esk4_1 @ X279) @ (esk4_1 @ X279)) @ X279)|~(in @ emptyset @ X279)|(~(in @ X281 @ omega)|(in @ X281 @ X279))))&((((((in @ (esk8_3 @ X282 @ X283 @ X288) @ X283)|~(in @ X288 @ (esk7_2 @ X282 @ X283))|(in @ (esk5_2 @ X282 @ X283) @ X283))&((X282 @ (esk8_3 @ X282 @ X283 @ X288) @ X288)|~(in @ X288 @ (esk7_2 @ X282 @ X283))|(in @ (esk5_2 @ X282 @ X283) @ X283)))&(~(in @ X291 @ X283)|~(X282 @ X291 @ X290)|(in @ X290 @ (esk7_2 @ X282 @ X283))|(in @ (esk5_2 @ X282 @ X283) @ X283)))&(((((in @ (esk8_3 @ X282 @ X283 @ X288) @ X283)|~(in @ X288 @ (esk7_2 @ X282 @ X283))|((X282 @ (esk5_2 @ X282 @ X283) @ (esk6_3 @ X282 @ X283 @ X285))|~(X282 @ (esk5_2 @ X282 @ X283) @ X285)))&((X282 @ (esk8_3 @ X282 @ X283 @ X288) @ X288)|~(in @ X288 @ (esk7_2 @ X282 @ X283))|((X282 @ (esk5_2 @ X282 @ X283) @ (esk6_3 @ X282 @ X283 @ X285))|~(X282 @ (esk5_2 @ X282 @ X283) @ X285))))&(~(in @ X291 @ X283)|~(X282 @ X291 @ X290)|(in @ X290 @ (esk7_2 @ X282 @ X283))|((X282 @ (esk5_2 @ X282 @ X283) @ (esk6_3 @ X282 @ X283 @ X285))|~(X282 @ (esk5_2 @ X282 @ X283) @ X285))))&((((in @ (esk8_3 @ X282 @ X283 @ X288) @ X283)|~(in @ X288 @ (esk7_2 @ X282 @ X283))|(((X285)!=(esk6_3 @ X282 @ X283 @ X285))|~(X282 @ (esk5_2 @ X282 @ X283) @ X285)))&((X282 @ (esk8_3 @ X282 @ X283 @ X288) @ X288)|~(in @ X288 @ (esk7_2 @ X282 @ X283))|(((X285)!=(esk6_3 @ X282 @ X283 @ X285))|~(X282 @ (esk5_2 @ X282 @ X283) @ X285))))&(~(in @ X291 @ X283)|~(X282 @ X291 @ X290)|(in @ X290 @ (esk7_2 @ X282 @ X283))|(((X285)!=(esk6_3 @ X282 @ X283 @ X285))|~(X282 @ (esk5_2 @ X282 @ X283) @ X285))))))&((((in @ (esk9_1 @ X292) @ X292)|~(in @ X293 @ X292))&(~(in @ X295 @ (esk9_1 @ X292))|~(in @ X295 @ X292)|~(in @ X293 @ X292)))&((epred1_0)&((((X296 @ (esk10_2 @ X296 @ X297))|~(X296 @ X297)|(X296 @ (descr @ X296)))&(((X297)!=(esk10_2 @ X296 @ X297))|~(X296 @ X297)|(X296 @ (descr @ X296))))&((~(in @ X301 @ X299)|(~(X300 @ X301)|(in @ X301 @ (dsetconstr @ X299 @ X300))))&((~(in @ X304 @ (dsetconstr @ X302 @ X303))|(in @ X304 @ X302))&((~(in @ X307 @ (dsetconstr @ X305 @ X306))|(X306 @ X307))&(((((X308 @ (esk12_1 @ X308))|((X308 @ (esk11_2 @ X308 @ X309))|~(X308 @ X309)))&(~(X308 @ X312)|((esk12_1 @ X308)=(X312))|((X308 @ (esk11_2 @ X308 @ X309))|~(X308 @ X309))))&(((X308 @ (esk12_1 @ X308))|(((X309)!=(esk11_2 @ X308 @ X309))|~(X308 @ X309)))&(~(X308 @ X312)|((esk12_1 @ X308)=(X312))|(((X309)!=(esk11_2 @ X308 @ X309))|~(X308 @ X309)))))&((~(in @ X314 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X313)))))|(X313))&((~(in @ X315 @ emptyset)|(X316))&((~(in @ X317 @ emptyset)|~($true))&(~(in @ X318 @ emptyset)&((((X319 @ (esk13_2 @ X319 @ X320))|~(X319 @ X320)|(X319 @ (esk14_1 @ X319)))&(((X320)!=(esk13_2 @ X319 @ X320))|~(X319 @ X320)|(X319 @ (esk14_1 @ X319))))&(((((in @ (esk16_2 @ X323 @ X324) @ X324)|((X323)=(X324))|(in @ (esk15_2 @ X323 @ X324) @ X323))&(~(in @ (esk16_2 @ X323 @ X324) @ X323)|((X323)=(X324))|(in @ (esk15_2 @ X323 @ X324) @ X323)))&(((in @ (esk16_2 @ X323 @ X324) @ X324)|((X323)=(X324))|~(in @ (esk15_2 @ X323 @ X324) @ X324))&(~(in @ (esk16_2 @ X323 @ X324) @ X323)|((X323)=(X324))|~(in @ (esk15_2 @ X323 @ X324) @ X324))))&(((in @ (esk17_1 @ X327) @ X327)|((X327)=(emptyset)))&(((in @ (esk18_1 @ X329) @ X329)|((X329)=(emptyset)))&(((~(in @ X333 @ (dsetconstr @ X331 @ X332))|(X332 @ X333)|~(in @ X333 @ X331))&(~(X332 @ X333)|(in @ X333 @ (dsetconstr @ X331 @ X332))|~(in @ X333 @ X331)))&((((X334)=(emptyset))|(in @ (esk19_1 @ X334) @ X334))&((~(in @ X338 @ X336)|(~(X337 @ X338)|((dsetconstr @ X336 @ X337)!=(emptyset))))&((~(in @ X340 @ X339)|((X339)!=(emptyset)))&((in @ X341 @ (setadjoin @ X341 @ X342))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X345 @ X344)|(in @ X345 @ (setadjoin @ X343 @ X344)))&(((((in @ X348 @ X347)|(X349)|((X348)=(X346))|~(in @ X348 @ (setadjoin @ X346 @ X347)))&(~(X349)|(X349)|((X348)=(X346))|~(in @ X348 @ (setadjoin @ X346 @ X347))))&(((in @ X348 @ X347)|(X349)|~(X349)|~(in @ X348 @ (setadjoin @ X346 @ X347)))&(~(X349)|(X349)|~(X349)|~(in @ X348 @ (setadjoin @ X346 @ X347)))))&((~(in @ X352 @ (setadjoin @ X350 @ X351))|(((X352)=(X350))|(in @ X352 @ X351)))&(((dsetconstr @ X353 @ (^[Z0:$i]:($true)))=(X353))&((((in @ (esk20_2 @ X354 @ X355) @ X355)|(in @ X355 @ (powerset @ X354)))&(~(in @ (esk20_2 @ X354 @ X355) @ X354)|(in @ X355 @ (powerset @ X354))))&((in @ emptyset @ (powerset @ X357))&((in @ emptyset @ (powerset @ X358))&((~(in @ X360 @ (powerset @ X359))|(~(in @ X361 @ X360)|(in @ X361 @ X359)))&((~(in @ X363 @ X364)|(~(in @ X364 @ X362)|(in @ X363 @ (setunion @ X362))))&((((in @ X366 @ (esk21_3 @ X365 @ X366 @ X367))|(X367)|~(in @ X366 @ (setunion @ X365)))&(((in @ (esk21_3 @ X365 @ X366 @ X367) @ X365)|(X367)|~(in @ X366 @ (setunion @ X365)))&(~(X367)|(X367)|~(in @ X366 @ (setunion @ X365)))))&((in @ esk23_0 @ esk22_0)&~(in @ esk23_0 @ (powerset @ (setunion @ esk22_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_67])])])])])])])).
% 0.13/0.30 thf(c_0_69, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (setunion @ X4))|~((in @ X2 @ X3))|~((in @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_68])).
% 0.13/0.30 thf(c_0_70, negated_conjecture, (in @ esk23_0 @ esk22_0), inference(split_conjunct,[status(thm)],[c_0_68])).
% 0.13/0.30 thf(c_0_71, negated_conjecture, ![X3:$i, X2:$i]:(((in @ X3 @ (powerset @ X2))|~((in @ (esk2_2 @ X2 @ X3) @ X2)))), inference(split_conjunct,[status(thm)],[c_0_68])).
% 0.13/0.30 thf(c_0_72, negated_conjecture, ![X2:$i]:(((in @ X2 @ (setunion @ esk22_0))|~((in @ X2 @ esk23_0)))), inference(spm,[status(thm)],[c_0_69, c_0_70])).
% 0.13/0.30 thf(c_0_73, negated_conjecture, ![X2:$i]:(((in @ X2 @ (powerset @ (setunion @ esk22_0)))|~((in @ (esk2_2 @ (setunion @ esk22_0) @ X2) @ esk23_0)))), inference(spm,[status(thm)],[c_0_71, c_0_72])).
% 0.13/0.30 thf(c_0_74, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk2_2 @ X2 @ X3) @ X3)|(in @ X3 @ (powerset @ X2)))), inference(split_conjunct,[status(thm)],[c_0_68])).
% 0.13/0.30 thf(c_0_75, negated_conjecture, ~((in @ esk23_0 @ (powerset @ (setunion @ esk22_0)))), inference(split_conjunct,[status(thm)],[c_0_68])).
% 0.13/0.30 thf(c_0_76, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_75]), ['proof']).
% 0.13/0.30 % SZS output end CNFRefutation
% 0.13/0.30 % Parsed axioms : 95
% 0.13/0.30 % Removed by relevancy pruning/SinE : 51
% 0.13/0.30 % Initial clauses : 88
% 0.13/0.30 % Removed in clause preprocessing : 4
% 0.13/0.30 % Initial clauses in saturation : 84
% 0.13/0.30 % Processed clauses : 233
% 0.13/0.30 % ...of these trivial : 2
% 0.13/0.30 % ...subsumed : 104
% 0.13/0.30 % ...remaining for further processing : 127
% 0.13/0.30 % Other redundant clauses eliminated : 3
% 0.13/0.30 % Clauses deleted for lack of memory : 0
% 0.13/0.30 % Backward-subsumed : 0
% 0.13/0.30 % Backward-rewritten : 4
% 0.13/0.30 % Generated clauses : 1218
% 0.13/0.30 % ...of the previous two non-redundant : 1118
% 0.13/0.30 % ...aggressively subsumed : 0
% 0.13/0.30 % Contextual simplify-reflections : 0
% 0.13/0.30 % Paramodulations : 1213
% 0.13/0.30 % Factorizations : 2
% 0.13/0.30 % NegExts : 0
% 0.13/0.30 % Equation resolutions : 3
% 0.13/0.30 % Disequality decompositions : 0
% 0.13/0.30 % Total rewrite steps : 114
% 0.13/0.30 % ...of those cached : 99
% 0.13/0.30 % Propositional unsat checks : 0
% 0.13/0.30 % Propositional check models : 0
% 0.13/0.30 % Propositional check unsatisfiable : 0
% 0.13/0.30 % Propositional clauses : 0
% 0.13/0.30 % Propositional clauses after purity: 0
% 0.13/0.30 % Propositional unsat core size : 0
% 0.13/0.30 % Propositional preprocessing time : 0.000
% 0.13/0.30 % Propositional encoding time : 0.000
% 0.13/0.30 % Propositional solver time : 0.000
% 0.13/0.30 % Success case prop preproc time : 0.000
% 0.13/0.30 % Success case prop encoding time : 0.000
% 0.13/0.30 % Success case prop solver time : 0.000
% 0.13/0.30 % Current number of processed clauses : 121
% 0.13/0.30 % Positive orientable unit clauses : 16
% 0.13/0.30 % Positive unorientable unit clauses: 0
% 0.13/0.30 % Negative unit clauses : 2
% 0.13/0.30 % Non-unit-clauses : 103
% 0.13/0.30 % Current number of unprocessed clauses: 953
% 0.13/0.30 % ...number of literals in the above : 2876
% 0.13/0.30 % Current number of archived formulas : 0
% 0.13/0.30 % Current number of archived clauses : 4
% 0.13/0.30 % Clause-clause subsumption calls (NU) : 2221
% 0.13/0.30 % Rec. Clause-clause subsumption calls : 1377
% 0.13/0.30 % Non-unit clause-clause subsumptions : 79
% 0.13/0.30 % Unit Clause-clause subsumption calls : 27
% 0.13/0.30 % Rewrite failures with RHS unbound : 0
% 0.13/0.30 % BW rewrite match attempts : 9
% 0.13/0.30 % BW rewrite match successes : 4
% 0.13/0.30 % Condensation attempts : 0
% 0.13/0.30 % Condensation successes : 0
% 0.13/0.30 % Termbank termtop insertions : 26604
% 0.13/0.30 % Search garbage collected termcells : 4300
% 0.13/0.30
% 0.13/0.30 % -------------------------------------------------
% 0.13/0.30 % User time : 0.026 s
% 0.13/0.30 % System time : 0.004 s
% 0.13/0.30 % Total time : 0.030 s
% 0.13/0.30 % Maximum resident set size: 4752 pages
% 0.13/0.30
% 0.13/0.30 % -------------------------------------------------
% 0.13/0.30 % User time : 0.028 s
% 0.13/0.30 % System time : 0.009 s
% 0.13/0.30 % Total time : 0.038 s
% 0.13/0.30 % Maximum resident set size: 4864 pages
% 0.13/0.30 % E exiting
%------------------------------------------------------------------------------