%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU516^1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:20 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU516^1 : 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 : n009.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
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 13:47:45 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 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.0c27VWhFPs/E---3.1_4017169.p
% 0.22/0.28 % Version: 3.5.1-ho
% 0.22/0.28 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % Starting sh5l with 300s (1) cores
% 0.22/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.28 % Starting new_bool_2 with 300s (1) cores
% 0.22/0.28 % new_bool_1 with pid 4017184 completed with status 0
% 0.22/0.28 % Result found by new_bool_1
% 0.22/0.28 % Preprocessing class: HSMSSLSSMLLCHFA.
% 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 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.28 % Search class: HGHSF-FFMM31-SHFSMSBN
% 0.22/0.28 % partial match(2): HGHSM-FFMS31-SHFSMSBN
% 0.22/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.28 % SubtermCWHack with pid 4017186 completed with status 0
% 0.22/0.28 % Result found by SubtermCWHack
% 0.22/0.28 % Preprocessing class: HSMSSLSSMLLCHFA.
% 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 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.28 % Search class: HGHSF-FFMM31-SHFSMSBN
% 0.22/0.28 % partial match(2): HGHSM-FFMS31-SHFSMSBN
% 0.22/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.28 % Preprocessing time : 0.003 s
% 0.22/0.28
% 0.22/0.28 % Proof found!
% 0.22/0.28 % SZS status Theorem
% 0.22/0.28 % SZS output start CNFRefutation
% 0.22/0.28 thf(decl_23, type, in: $i > $i > $o).
% 0.22/0.28 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.22/0.28 thf(decl_25, type, setextAx: $o).
% 0.22/0.28 thf(decl_26, type, emptyset: $i).
% 0.22/0.28 thf(decl_27, type, emptysetAx: $o).
% 0.22/0.28 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.22/0.28 thf(decl_29, type, setadjoinAx: $o).
% 0.22/0.28 thf(decl_30, type, powerset: $i > $i).
% 0.22/0.28 thf(decl_31, type, powersetAx: $o).
% 0.22/0.28 thf(decl_33, type, setunionAx: $o).
% 0.22/0.28 thf(decl_34, type, omega: $i).
% 0.22/0.28 thf(decl_35, type, omega0Ax: $o).
% 0.22/0.28 thf(decl_36, type, omegaSAx: $o).
% 0.22/0.28 thf(decl_37, type, omegaIndAx: $o).
% 0.22/0.28 thf(decl_38, type, replAx: $o).
% 0.22/0.28 thf(decl_39, type, foundationAx: $o).
% 0.22/0.28 thf(decl_40, type, wellorderingAx: $o).
% 0.22/0.28 thf(decl_42, type, descrp: $o).
% 0.22/0.28 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.28 thf(decl_44, type, dsetconstrI: $o).
% 0.22/0.28 thf(decl_45, type, dsetconstrEL: $o).
% 0.22/0.28 thf(decl_46, type, dsetconstrER: $o).
% 0.22/0.28 thf(decl_47, type, exuE1: $o).
% 0.22/0.28 thf(decl_48, type, prop2set: $o > $i).
% 0.22/0.28 thf(decl_49, type, prop2setE: $o).
% 0.22/0.28 thf(decl_50, type, emptysetE: $o).
% 0.22/0.28 thf(decl_51, type, emptysetimpfalse: $o).
% 0.22/0.28 thf(decl_52, type, notinemptyset: $o).
% 0.22/0.28 thf(decl_53, type, exuE3e: $o).
% 0.22/0.28 thf(decl_54, type, setext: $o).
% 0.22/0.28 thf(decl_55, type, emptyI: $o).
% 0.22/0.28 thf(decl_56, type, noeltsimpempty: $o).
% 0.22/0.28 thf(decl_57, type, setbeta: $o).
% 0.22/0.28 thf(decl_58, type, nonempty: $i > $o).
% 0.22/0.28 thf(decl_59, type, nonemptyE1: $o).
% 0.22/0.28 thf(decl_60, type, nonemptyI: $o).
% 0.22/0.28 thf(decl_61, type, nonemptyI1: $o).
% 0.22/0.28 thf(decl_62, type, setadjoinIL: $o).
% 0.22/0.28 thf(decl_63, type, emptyinunitempty: $o).
% 0.22/0.28 thf(decl_64, type, setadjoinIR: $o).
% 0.22/0.28 thf(decl_65, type, setadjoinE: $o).
% 0.22/0.28 thf(decl_66, type, epred1_0: $o).
% 0.22/0.28 thf(decl_67, type, esk1_2: $i > $i > $i).
% 0.22/0.28 thf(decl_68, type, esk2_2: $i > $i > $i).
% 0.22/0.28 thf(decl_69, type, esk3_1: $i > $i).
% 0.22/0.28 thf(decl_70, type, esk4_2: ($i > $i > $o) > $i > $i).
% 0.22/0.28 thf(decl_71, type, esk5_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.28 thf(decl_72, type, esk6_2: ($i > $i > $o) > $i > $i).
% 0.22/0.28 thf(decl_73, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.28 thf(decl_74, type, esk8_1: $i > $i).
% 0.22/0.28 thf(decl_75, type, esk9_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_76, type, esk10_1: ($i > $o) > $i).
% 0.22/0.28 thf(decl_77, type, esk11_2: ($i > $o) > $i > $i).
% 0.22/0.28 thf(decl_78, type, esk12_1: ($i > $o) > $i).
% 0.22/0.28 thf(decl_79, type, esk13_2: $i > $i > $i).
% 0.22/0.28 thf(decl_80, type, esk14_2: $i > $i > $i).
% 0.22/0.28 thf(decl_81, type, esk15_1: $i > $i).
% 0.22/0.28 thf(decl_82, type, esk16_1: $i > $i).
% 0.22/0.28 thf(decl_83, type, esk17_1: $i > $i).
% 0.22/0.28 thf(decl_84, type, esk18_0: $i).
% 0.22/0.28 thf(decl_85, type, esk19_0: $i).
% 0.22/0.28 thf(decl_86, type, esk20_0: $i).
% 0.22/0.28 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', exuE3e)).
% 0.22/0.28 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', exu)).
% 0.22/0.28 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.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:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', nonemptyI)).
% 0.22/0.28 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', replAx)).
% 0.22/0.28 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', exuE1)).
% 0.22/0.28 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', prop2set)).
% 0.22/0.28 thf(setadjoinOr, 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)=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4)))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', setadjoinOr)).
% 0.22/0.28 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', setbeta)).
% 0.22/0.28 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', nonemptyE1)).
% 0.22/0.28 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', nonemptyI1)).
% 0.22/0.28 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', dsetconstrER)).
% 0.22/0.28 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', dsetconstrEL)).
% 0.22/0.28 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', dsetconstrI)).
% 0.22/0.28 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', prop2setE)).
% 0.22/0.28 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', setext)).
% 0.22/0.28 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', emptyI)).
% 0.22/0.28 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', noeltsimpempty)).
% 0.22/0.28 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', setadjoinIL)).
% 0.22/0.28 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', emptyinunitempty)).
% 0.22/0.28 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.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.0c27VWhFPs/E---3.1_4017169.p', setadjoinE)).
% 0.22/0.28 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', omega0Ax)).
% 0.22/0.28 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', powersetAx)).
% 0.22/0.28 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', setadjoinAx)).
% 0.22/0.28 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', emptysetAx)).
% 0.22/0.28 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', setextAx)).
% 0.22/0.28 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', omegaSAx)).
% 0.22/0.28 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.0c27VWhFPs/E---3.1_4017169.p', wellorderingAx)).
% 0.22/0.28 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', foundationAx)).
% 0.22/0.28 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', omegaIndAx)).
% 0.22/0.28 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', emptysetE)).
% 0.22/0.28 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', emptysetimpfalse)).
% 0.22/0.28 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.0c27VWhFPs/E---3.1_4017169.p', notinemptyset)).
% 0.22/0.28 thf(c_0_34, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.22/0.28 thf(c_0_35, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.22/0.28 thf(c_0_36, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.22/0.28 thf(c_0_37, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.22/0.28 thf(c_0_38, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.22/0.28 thf(c_0_39, plain, ((exuE1)<=>![X1:$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_40, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])).
% 0.22/0.28 thf(c_0_41, 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)=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setadjoinOr])).
% 0.22/0.28 thf(c_0_42, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X111:$i]:(((((X1 @ X111)))&(![X112:$i]:(((((X1 @ X112)))=>(((X111)=(X112))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_34, c_0_35])).
% 0.22/0.28 thf(c_0_43, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.22/0.28 thf(c_0_44, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_36])).
% 0.22/0.28 thf(c_0_45, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_37, c_0_36])).
% 0.22/0.28 thf(c_0_46, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_36])).
% 0.22/0.28 thf(c_0_47, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.22/0.28 thf(c_0_48, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.22/0.28 thf(c_0_49, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.22/0.28 thf(c_0_50, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X107:$i]:(((((X6 @ X2 @ X107)))&(![X108:$i]:(((((X6 @ X2 @ X108)))=>(((X107)=(X108)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_38, c_0_35])).
% 0.22/0.28 thf(c_0_51, plain, ((exuE1)=(![X1:$i > $o]:((((?[X109:$i]:(((((X1 @ X109)))&(![X110:$i]:(((((X1 @ X110)))=>(((X109)=(X110))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_39, c_0_35])).
% 0.22/0.28 thf(c_0_52, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_40])).
% 0.22/0.28 thf(c_0_53, plain, ((epred1_0)<=>![X139:$i]:(?[X140:$i]:((((![X141:$i]:(((in @ X141 @ X140)=>![X142:$i]:(((in @ X142 @ X141)=>(in @ X142 @ X139)))))&![X143:$i, X144:$i]:((((in @ X143 @ X139)&(in @ X144 @ X139))=>(![X145:$i]:(((in @ X145 @ X140)=>((in @ X143 @ X145)<=>(in @ X144 @ X145))))=>((X143)=(X144))))))&![X146:$i, X147:$i]:((((in @ X146 @ X140)&(in @ X147 @ X140))=>(![X148:$i]:(((in @ X148 @ X146)=>(in @ X148 @ X147)))|![X149:$i]:(((in @ X149 @ X147)=>(in @ X149 @ X146)))))))&![X150:$i]:(((![X151:$i]:(((in @ X151 @ X150)=>(in @ X151 @ X139)))&?[X152:$i]:((in @ X152 @ X150)))=>?[X153:$i, X154:$i]:(((((in @ X153 @ X140)&(in @ X154 @ X150))&~(?[X155:$i]:(((in @ X155 @ X153)&(in @ X155 @ X150)))))&![X156:$i]:(((in @ X156 @ X140)=>(![X157:$i]:(((in @ X157 @ X156)=>(in @ X157 @ X153)))|(in @ X154 @ X156)))))))))))), introduced(definition)).
% 0.22/0.28 thf(c_0_54, negated_conjecture, ~((![X113:$i, X114:$i]:((![X115:$i]:(((in @ X115 @ X113)<=>(in @ X115 @ X114)))=>((X113)=(X114))))=>(![X116:$i]:(~(in @ X116 @ emptyset))=>(![X117:$i, X118:$i, X119:$i]:(((in @ X119 @ (setadjoin @ X117 @ X118))<=>(((X119)=(X117))|(in @ X119 @ X118))))=>(![X120:$i, X121:$i]:(((in @ X121 @ (powerset @ X120))<=>![X122:$i]:(((in @ X122 @ X121)=>(in @ X122 @ X120)))))=>((setunionAx)=>((in @ emptyset @ omega)=>(![X123:$i]:(((in @ X123 @ omega)=>(in @ (setadjoin @ X123 @ X123) @ omega)))=>(![X124:$i]:((((in @ emptyset @ X124)&![X125:$i]:((((in @ X125 @ omega)&(in @ X125 @ X124))=>(in @ (setadjoin @ X125 @ X125) @ X124))))=>![X126:$i]:(((in @ X126 @ omega)=>(in @ X126 @ X124)))))=>(![X127:$i > $i > $o, X128:$i]:((![X129:$i]:(((in @ X129 @ X128)=>?[X130:$i]:(((X127 @ X129 @ X130)&![X131:$i]:(((X127 @ X129 @ X131)=>((X130)=(X131))))))))=>?[X132:$i]:(![X133:$i]:(((in @ X133 @ X132)<=>?[X134:$i]:(((in @ X134 @ X128)&(X127 @ X134 @ X133))))))))=>(![X135:$i]:((?[X136:$i]:((in @ X136 @ X135))=>?[X137:$i]:(((in @ X137 @ X135)&~(?[X138:$i]:(((in @ X138 @ X137)&(in @ X138 @ X135))))))))=>((epred1_0)=>((descrp)=>(![X158:$i, X159:$i > $o, X160:$i]:(((in @ X160 @ X158)=>((X159 @ X160)=>(in @ X160 @ (dsetconstr @ X158 @ X159)))))=>(![X161:$i, X162:$i > $o, X163:$i]:(((in @ X163 @ (dsetconstr @ X161 @ X162))=>(in @ X163 @ X161)))=>(![X164:$i, X165:$i > $o, X166:$i]:(((in @ X166 @ (dsetconstr @ X164 @ X165))=>(X165 @ X166)))=>(![X167:$i > $o]:((?[X168:$i]:(((X167 @ X168)&![X169:$i]:(((X167 @ X169)=>((X168)=(X169))))))=>?[X170:$i]:(((X167 @ X170)&![X171:$i]:(((X167 @ X171)=>((X170)=(X171))))))))=>(![X172:$o, X173:$i]:(((in @ X173 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X172)))))=>(X172)))=>(![X174:$i]:(((in @ X174 @ emptyset)=>![X175:$o]:((X175))))=>(![X176:$i]:(((in @ X176 @ emptyset)=>~($true)))=>(![X177:$i]:(~(in @ X177 @ emptyset))=>(![X178:$i > $o]:((?[X179:$i]:(((X178 @ X179)&![X180:$i]:(((X178 @ X180)=>((X179)=(X180))))))=>?[X181:$i]:((X178 @ X181))))=>(![X182:$i, X183:$i]:((![X184:$i]:(((in @ X184 @ X182)=>(in @ X184 @ X183)))=>(![X185:$i]:(((in @ X185 @ X183)=>(in @ X185 @ X182)))=>((X182)=(X183)))))=>(![X186:$i]:((![X187:$i]:(~(in @ X187 @ X186))=>((X186)=(emptyset))))=>(![X188:$i]:((![X189:$i]:(~(in @ X189 @ X188))=>((X188)=(emptyset))))=>(![X190:$i, X191:$i > $o, X192:$i]:(((in @ X192 @ X190)=>((in @ X192 @ (dsetconstr @ X190 @ X191))<=>(X191 @ X192))))=>(![X193:$i]:((((X193)!=(emptyset))=>?[X194:$i]:((in @ X194 @ X193))))=>(![X195:$i, X196:$i > $o, X197:$i]:(((in @ X197 @ X195)=>((X196 @ X197)=>((dsetconstr @ X195 @ X196)!=(emptyset)))))=>(![X198:$i]:((?[X199:$i]:((in @ X199 @ X198))=>((X198)!=(emptyset))))=>(![X200:$i, X201:$i]:((in @ X200 @ (setadjoin @ X200 @ X201)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X202:$i, X203:$i, X204:$i]:(((in @ X204 @ X203)=>(in @ X204 @ (setadjoin @ X202 @ X203))))=>(![X205:$i, X206:$i, X207:$i]:(((in @ X207 @ (setadjoin @ X205 @ X206))=>![X208:$o]:(((((X207)=(X205))=>(X208))=>(((in @ X207 @ X206)=>(X208))=>(X208))))))=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ 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)],[c_0_41, c_0_42]), setext]), emptyI]), noeltsimpempty]), c_0_43]), c_0_44]), c_0_45]), c_0_46]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), omega0Ax]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx]), omegaSAx]), c_0_47]), c_0_48]), c_0_49]), wellorderingAx]), foundationAx]), c_0_50]), omegaIndAx]), c_0_51]), c_0_52]), emptysetE]), emptysetimpfalse]), notinemptyset])])]), c_0_53])).
% 0.22/0.28 thf(c_0_55, negated_conjecture, ![X209:$i, X210:$i, X212:$i, X213:$i, X214:$i, X215:$i, X216:$i, X217:$i, X218:$i, X219:$i, X220:$i, X222:$i, X223:$i, X225:$i, X226:$i > $i > $o, X227:$i, X229:$i, X232:$i, X234:$i, X235:$i, X236:$i, X237:$i, X239:$i, X240:$i, X241:$i > $o, X242:$i, X243:$i, X244:$i > $o, X245:$i, X246:$i, X247:$i > $o, X248:$i, X249:$i > $o, X250:$i, X253:$i, X254:$o, X255:$i, X256:$i, X257:$o, X258:$i, X259:$i, X260:$i > $o, X261:$i, X264:$i, X265:$i, X268:$i, X270:$i, X272:$i, X273:$i > $o, X274:$i, X275:$i, X277:$i, X278:$i > $o, X279:$i, X280:$i, X281:$i, X282:$i, X283:$i, X284:$i, X285:$i, X286:$i, X287:$i, X288:$i, X289:$i, X290:$o]:((((~(in @ (esk1_2 @ X209 @ X210) @ X209)|~(in @ (esk1_2 @ X209 @ X210) @ X210)|((X209)=(X210)))&((in @ (esk1_2 @ X209 @ X210) @ X209)|(in @ (esk1_2 @ X209 @ X210) @ X210)|((X209)=(X210))))&(~(in @ X212 @ emptyset)&(((~(in @ X215 @ (setadjoin @ X213 @ X214))|(((X215)=(X213))|(in @ X215 @ X214)))&((((X215)!=(X213))|(in @ X215 @ (setadjoin @ X213 @ X214)))&(~(in @ X215 @ X214)|(in @ X215 @ (setadjoin @ X213 @ X214)))))&(((~(in @ X217 @ (powerset @ X216))|(~(in @ X218 @ X217)|(in @ X218 @ X216)))&(((in @ (esk2_2 @ X219 @ X220) @ X220)|(in @ X220 @ (powerset @ X219)))&(~(in @ (esk2_2 @ X219 @ X220) @ X219)|(in @ X220 @ (powerset @ X219)))))&((setunionAx)&((in @ emptyset @ omega)&((~(in @ X222 @ omega)|(in @ (setadjoin @ X222 @ X222) @ omega))&(((((in @ (esk3_1 @ X223) @ omega)|~(in @ emptyset @ X223)|(~(in @ X225 @ omega)|(in @ X225 @ X223)))&((in @ (esk3_1 @ X223) @ X223)|~(in @ emptyset @ X223)|(~(in @ X225 @ omega)|(in @ X225 @ X223))))&(~(in @ (setadjoin @ (esk3_1 @ X223) @ (esk3_1 @ X223)) @ X223)|~(in @ emptyset @ X223)|(~(in @ X225 @ omega)|(in @ X225 @ X223))))&((((((in @ (esk7_3 @ X226 @ X227 @ X232) @ X227)|~(in @ X232 @ (esk6_2 @ X226 @ X227))|(in @ (esk4_2 @ X226 @ X227) @ X227))&((X226 @ (esk7_3 @ X226 @ X227 @ X232) @ X232)|~(in @ X232 @ (esk6_2 @ X226 @ X227))|(in @ (esk4_2 @ X226 @ X227) @ X227)))&(~(in @ X235 @ X227)|~(X226 @ X235 @ X234)|(in @ X234 @ (esk6_2 @ X226 @ X227))|(in @ (esk4_2 @ X226 @ X227) @ X227)))&(((((in @ (esk7_3 @ X226 @ X227 @ X232) @ X227)|~(in @ X232 @ (esk6_2 @ X226 @ X227))|((X226 @ (esk4_2 @ X226 @ X227) @ (esk5_3 @ X226 @ X227 @ X229))|~(X226 @ (esk4_2 @ X226 @ X227) @ X229)))&((X226 @ (esk7_3 @ X226 @ X227 @ X232) @ X232)|~(in @ X232 @ (esk6_2 @ X226 @ X227))|((X226 @ (esk4_2 @ X226 @ X227) @ (esk5_3 @ X226 @ X227 @ X229))|~(X226 @ (esk4_2 @ X226 @ X227) @ X229))))&(~(in @ X235 @ X227)|~(X226 @ X235 @ X234)|(in @ X234 @ (esk6_2 @ X226 @ X227))|((X226 @ (esk4_2 @ X226 @ X227) @ (esk5_3 @ X226 @ X227 @ X229))|~(X226 @ (esk4_2 @ X226 @ X227) @ X229))))&((((in @ (esk7_3 @ X226 @ X227 @ X232) @ X227)|~(in @ X232 @ (esk6_2 @ X226 @ X227))|(((X229)!=(esk5_3 @ X226 @ X227 @ X229))|~(X226 @ (esk4_2 @ X226 @ X227) @ X229)))&((X226 @ (esk7_3 @ X226 @ X227 @ X232) @ X232)|~(in @ X232 @ (esk6_2 @ X226 @ X227))|(((X229)!=(esk5_3 @ X226 @ X227 @ X229))|~(X226 @ (esk4_2 @ X226 @ X227) @ X229))))&(~(in @ X235 @ X227)|~(X226 @ X235 @ X234)|(in @ X234 @ (esk6_2 @ X226 @ X227))|(((X229)!=(esk5_3 @ X226 @ X227 @ X229))|~(X226 @ (esk4_2 @ X226 @ X227) @ X229))))))&((((in @ (esk8_1 @ X236) @ X236)|~(in @ X237 @ X236))&(~(in @ X239 @ (esk8_1 @ X236))|~(in @ X239 @ X236)|~(in @ X237 @ X236)))&((epred1_0)&((descrp)&((~(in @ X242 @ X240)|(~(X241 @ X242)|(in @ X242 @ (dsetconstr @ X240 @ X241))))&((~(in @ X245 @ (dsetconstr @ X243 @ X244))|(in @ X245 @ X243))&((~(in @ X248 @ (dsetconstr @ X246 @ X247))|(X247 @ X248))&(((((X249 @ (esk10_1 @ X249))|((X249 @ (esk9_2 @ X249 @ X250))|~(X249 @ X250)))&(~(X249 @ X253)|((esk10_1 @ X249)=(X253))|((X249 @ (esk9_2 @ X249 @ X250))|~(X249 @ X250))))&(((X249 @ (esk10_1 @ X249))|(((X250)!=(esk9_2 @ X249 @ X250))|~(X249 @ X250)))&(~(X249 @ X253)|((esk10_1 @ X249)=(X253))|(((X250)!=(esk9_2 @ X249 @ X250))|~(X249 @ X250)))))&((~(in @ X255 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X254)))))|(X254))&((~(in @ X256 @ emptyset)|(X257))&((~(in @ X258 @ emptyset)|~($true))&(~(in @ X259 @ emptyset)&((((X260 @ (esk11_2 @ X260 @ X261))|~(X260 @ X261)|(X260 @ (esk12_1 @ X260)))&(((X261)!=(esk11_2 @ X260 @ X261))|~(X260 @ X261)|(X260 @ (esk12_1 @ X260))))&(((((in @ (esk14_2 @ X264 @ X265) @ X265)|((X264)=(X265))|(in @ (esk13_2 @ X264 @ X265) @ X264))&(~(in @ (esk14_2 @ X264 @ X265) @ X264)|((X264)=(X265))|(in @ (esk13_2 @ X264 @ X265) @ X264)))&(((in @ (esk14_2 @ X264 @ X265) @ X265)|((X264)=(X265))|~(in @ (esk13_2 @ X264 @ X265) @ X265))&(~(in @ (esk14_2 @ X264 @ X265) @ X264)|((X264)=(X265))|~(in @ (esk13_2 @ X264 @ X265) @ X265))))&(((in @ (esk15_1 @ X268) @ X268)|((X268)=(emptyset)))&(((in @ (esk16_1 @ X270) @ X270)|((X270)=(emptyset)))&(((~(in @ X274 @ (dsetconstr @ X272 @ X273))|(X273 @ X274)|~(in @ X274 @ X272))&(~(X273 @ X274)|(in @ X274 @ (dsetconstr @ X272 @ X273))|~(in @ X274 @ X272)))&((((X275)=(emptyset))|(in @ (esk17_1 @ X275) @ X275))&((~(in @ X279 @ X277)|(~(X278 @ X279)|((dsetconstr @ X277 @ X278)!=(emptyset))))&((~(in @ X281 @ X280)|((X280)!=(emptyset)))&((in @ X282 @ (setadjoin @ X282 @ X283))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X286 @ X285)|(in @ X286 @ (setadjoin @ X284 @ X285)))&(((((in @ X289 @ X288)|(X290)|((X289)=(X287))|~(in @ X289 @ (setadjoin @ X287 @ X288)))&(~(X290)|(X290)|((X289)=(X287))|~(in @ X289 @ (setadjoin @ X287 @ X288))))&(((in @ X289 @ X288)|(X290)|~(X290)|~(in @ X289 @ (setadjoin @ X287 @ X288)))&(~(X290)|(X290)|~(X290)|~(in @ X289 @ (setadjoin @ X287 @ X288)))))&((in @ esk20_0 @ (setadjoin @ esk18_0 @ esk19_0))&(((esk20_0)!=(esk18_0))&~(in @ esk20_0 @ esk19_0)))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])])])])])).
% 0.22/0.28 thf(c_0_56, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ X3)|((X2)=(X4))|~((in @ X2 @ (setadjoin @ X4 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_55])])])).
% 0.22/0.28 thf(c_0_57, negated_conjecture, (in @ esk20_0 @ (setadjoin @ esk18_0 @ esk19_0)), inference(split_conjunct,[status(thm)],[c_0_55])).
% 0.22/0.28 thf(c_0_58, negated_conjecture, ((esk20_0)!=(esk18_0)), inference(split_conjunct,[status(thm)],[c_0_55])).
% 0.22/0.28 thf(c_0_59, negated_conjecture, ~((in @ esk20_0 @ esk19_0)), inference(split_conjunct,[status(thm)],[c_0_55])).
% 0.22/0.28 thf(c_0_60, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58]), c_0_59]), ['proof']).
% 0.22/0.28 % SZS output end CNFRefutation
% 0.22/0.28 % Parsed axioms : 79
% 0.22/0.28 % Removed by relevancy pruning/SinE : 45
% 0.22/0.28 % Initial clauses : 75
% 0.22/0.28 % Removed in clause preprocessing : 3
% 0.22/0.28 % Initial clauses in saturation : 72
% 0.22/0.28 % Processed clauses : 63
% 0.22/0.28 % ...of these trivial : 0
% 0.22/0.28 % ...subsumed : 16
% 0.22/0.28 % ...remaining for further processing : 47
% 0.22/0.28 % Other redundant clauses eliminated : 2
% 0.22/0.28 % Clauses deleted for lack of memory : 0
% 0.22/0.28 % Backward-subsumed : 0
% 0.22/0.28 % Backward-rewritten : 3
% 0.22/0.28 % Generated clauses : 87
% 0.22/0.28 % ...of the previous two non-redundant : 67
% 0.22/0.28 % ...aggressively subsumed : 0
% 0.22/0.28 % Contextual simplify-reflections : 0
% 0.22/0.28 % Paramodulations : 85
% 0.22/0.28 % Factorizations : 0
% 0.22/0.28 % NegExts : 0
% 0.22/0.28 % Equation resolutions : 2
% 0.22/0.28 % Disequality decompositions : 0
% 0.22/0.28 % Total rewrite steps : 13
% 0.22/0.28 % ...of those cached : 3
% 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 : 42
% 0.22/0.28 % Positive orientable unit clauses : 12
% 0.22/0.28 % Positive unorientable unit clauses: 0
% 0.22/0.28 % Negative unit clauses : 3
% 0.22/0.28 % Non-unit-clauses : 27
% 0.22/0.28 % Current number of unprocessed clauses: 76
% 0.22/0.28 % ...number of literals in the above : 250
% 0.22/0.28 % Current number of archived formulas : 0
% 0.22/0.28 % Current number of archived clauses : 3
% 0.22/0.28 % Clause-clause subsumption calls (NU) : 175
% 0.22/0.28 % Rec. Clause-clause subsumption calls : 159
% 0.22/0.28 % Non-unit clause-clause subsumptions : 8
% 0.22/0.28 % Unit Clause-clause subsumption calls : 23
% 0.22/0.28 % Rewrite failures with RHS unbound : 0
% 0.22/0.28 % BW rewrite match attempts : 8
% 0.22/0.28 % BW rewrite match successes : 3
% 0.22/0.28 % Condensation attempts : 0
% 0.22/0.28 % Condensation successes : 0
% 0.22/0.28 % Termbank termtop insertions : 10101
% 0.22/0.28 % Search garbage collected termcells : 3494
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.009 s
% 0.22/0.28 % System time : 0.006 s
% 0.22/0.28 % Total time : 0.014 s
% 0.22/0.28 % Maximum resident set size: 4484 pages
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.013 s
% 0.22/0.28 % System time : 0.010 s
% 0.22/0.28 % Total time : 0.022 s
% 0.22/0.28 % Maximum resident set size: 4864 pages
% 0.22/0.28 % E exiting
%------------------------------------------------------------------------------