%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU514^1 : 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 : n007.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 08:26:32 AM UTC 2026
% Result : Theorem 0.22s 0.27s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU514^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:45:25 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 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.YjobA6jOzA/E---3.1_3382824.p
% 0.22/0.27 % Version: 3.5.1-ho
% 0.22/0.27 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.27 % Starting sh5l with 300s (1) cores
% 0.22/0.27 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.27 % Starting new_bool_2 with 300s (1) cores
% 0.22/0.27 % sh5l with pid 3382838 completed with status 0
% 0.22/0.27 % Result found by sh5l
% 0.22/0.27 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.27 % Starting sh5l with 300s (1) cores
% 0.22/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.22/0.27 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.27 % Search class: HGHSF-FFMS31-SHFSMSBN
% 0.22/0.27 % partial match(1): HGHSM-FFMS31-SHFSMSBN
% 0.22/0.27 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.27 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.27 % SubtermCWHack with pid 3382841 completed with status 0
% 0.22/0.27 % Result found by SubtermCWHack
% 0.22/0.27 % Preprocessing class: HSMSSLSSMLLCHFA.
% 0.22/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.27 % Starting sh5l with 300s (1) cores
% 0.22/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.22/0.27 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.27 % Search class: HGHSF-FFMS31-SHFSMSBN
% 0.22/0.27 % partial match(1): HGHSM-FFMS31-SHFSMSBN
% 0.22/0.27 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.27 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.27 % Preprocessing time : 0.003 s
% 0.22/0.27
% 0.22/0.27 % Proof found!
% 0.22/0.27 % SZS status Theorem
% 0.22/0.27 % SZS output start CNFRefutation
% 0.22/0.27 thf(decl_23, type, in: $i > $i > $o).
% 0.22/0.27 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.22/0.27 thf(decl_25, type, setextAx: $o).
% 0.22/0.27 thf(decl_26, type, emptyset: $i).
% 0.22/0.27 thf(decl_27, type, emptysetAx: $o).
% 0.22/0.27 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.22/0.27 thf(decl_29, type, setadjoinAx: $o).
% 0.22/0.27 thf(decl_30, type, powerset: $i > $i).
% 0.22/0.27 thf(decl_31, type, powersetAx: $o).
% 0.22/0.27 thf(decl_32, type, setunion: $i > $i).
% 0.22/0.27 thf(decl_33, type, setunionAx: $o).
% 0.22/0.27 thf(decl_34, type, omega: $i).
% 0.22/0.27 thf(decl_35, type, omega0Ax: $o).
% 0.22/0.27 thf(decl_36, type, omegaSAx: $o).
% 0.22/0.27 thf(decl_37, type, omegaIndAx: $o).
% 0.22/0.27 thf(decl_38, type, replAx: $o).
% 0.22/0.27 thf(decl_39, type, foundationAx: $o).
% 0.22/0.27 thf(decl_40, type, wellorderingAx: $o).
% 0.22/0.27 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.22/0.27 thf(decl_42, type, descrp: $o).
% 0.22/0.27 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.27 thf(decl_44, type, dsetconstrI: $o).
% 0.22/0.27 thf(decl_45, type, dsetconstrEL: $o).
% 0.22/0.27 thf(decl_46, type, dsetconstrER: $o).
% 0.22/0.27 thf(decl_47, type, exuE1: $o).
% 0.22/0.27 thf(decl_48, type, prop2set: $o > $i).
% 0.22/0.27 thf(decl_49, type, prop2setE: $o).
% 0.22/0.27 thf(decl_50, type, emptysetE: $o).
% 0.22/0.27 thf(decl_51, type, emptysetimpfalse: $o).
% 0.22/0.27 thf(decl_52, type, notinemptyset: $o).
% 0.22/0.27 thf(decl_53, type, exuE3e: $o).
% 0.22/0.27 thf(decl_54, type, setext: $o).
% 0.22/0.27 thf(decl_55, type, emptyI: $o).
% 0.22/0.27 thf(decl_56, type, noeltsimpempty: $o).
% 0.22/0.27 thf(decl_57, type, setbeta: $o).
% 0.22/0.27 thf(decl_58, type, nonempty: $i > $o).
% 0.22/0.27 thf(decl_59, type, nonemptyE1: $o).
% 0.22/0.27 thf(decl_60, type, nonemptyI: $o).
% 0.22/0.27 thf(decl_61, type, nonemptyI1: $o).
% 0.22/0.27 thf(decl_62, type, setadjoinIL: $o).
% 0.22/0.27 thf(decl_63, type, emptyinunitempty: $o).
% 0.22/0.27 thf(decl_64, type, epred1_0: $o).
% 0.22/0.27 thf(decl_65, type, esk1_2: $i > $i > $i).
% 0.22/0.27 thf(decl_66, type, esk2_2: $i > $i > $i).
% 0.22/0.27 thf(decl_67, type, esk3_2: $i > $i > $i).
% 0.22/0.27 thf(decl_68, type, esk4_1: $i > $i).
% 0.22/0.27 thf(decl_69, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.22/0.27 thf(decl_70, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.27 thf(decl_71, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.22/0.27 thf(decl_72, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.27 thf(decl_73, type, esk9_1: $i > $i).
% 0.22/0.27 thf(decl_74, type, esk10_2: ($i > $o) > $i > $i).
% 0.22/0.27 thf(decl_75, type, esk11_2: ($i > $o) > $i > $i).
% 0.22/0.27 thf(decl_76, type, esk12_1: ($i > $o) > $i).
% 0.22/0.27 thf(decl_77, type, esk13_2: ($i > $o) > $i > $i).
% 0.22/0.27 thf(decl_78, type, esk14_1: ($i > $o) > $i).
% 0.22/0.27 thf(decl_79, type, esk15_2: $i > $i > $i).
% 0.22/0.27 thf(decl_80, type, esk16_2: $i > $i > $i).
% 0.22/0.27 thf(decl_81, type, esk17_1: $i > $i).
% 0.22/0.27 thf(decl_82, type, esk18_1: $i > $i).
% 0.22/0.27 thf(decl_83, type, esk19_1: $i > $i).
% 0.22/0.27 thf(decl_84, type, esk20_0: $i).
% 0.22/0.27 thf(decl_85, type, esk21_0: $i).
% 0.22/0.27 thf(decl_86, type, esk22_0: $i).
% 0.22/0.27 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', nonempty)).
% 0.22/0.27 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', nonemptyI)).
% 0.22/0.27 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', descrp)).
% 0.22/0.27 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', exu)).
% 0.22/0.27 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', replAx)).
% 0.22/0.27 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', prop2set)).
% 0.22/0.27 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', exuE1)).
% 0.22/0.27 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', exuE3e)).
% 0.22/0.27 thf(setadjoinIR, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4)))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', setadjoinIR)).
% 0.22/0.27 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', nonemptyE1)).
% 0.22/0.27 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', nonemptyI1)).
% 0.22/0.27 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', dsetconstrI)).
% 0.22/0.27 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', prop2setE)).
% 0.22/0.27 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', dsetconstrER)).
% 0.22/0.27 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', dsetconstrEL)).
% 0.22/0.27 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', setbeta)).
% 0.22/0.27 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', setext)).
% 0.22/0.27 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', noeltsimpempty)).
% 0.22/0.27 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', setextAx)).
% 0.22/0.27 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', emptyinunitempty)).
% 0.22/0.27 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', setadjoinIL)).
% 0.22/0.27 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', omegaIndAx)).
% 0.22/0.28 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', omegaSAx)).
% 0.22/0.28 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', setadjoinAx)).
% 0.22/0.28 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', emptysetAx)).
% 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', wellorderingAx)).
% 0.22/0.28 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', foundationAx)).
% 0.22/0.28 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', omega0Ax)).
% 0.22/0.28 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', setunionAx)).
% 0.22/0.28 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', powersetAx)).
% 0.22/0.28 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', notinemptyset)).
% 0.22/0.28 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', emptysetimpfalse)).
% 0.22/0.28 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', emptysetE)).
% 0.22/0.28 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YjobA6jOzA/E---3.1_3382824.p', emptyI)).
% 0.22/0.28 thf(c_0_34, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.22/0.28 thf(c_0_35, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.22/0.28 thf(c_0_36, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.22/0.28 thf(c_0_37, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.22/0.28 thf(c_0_38, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.22/0.28 thf(c_0_39, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])).
% 0.22/0.28 thf(c_0_40, plain, ((exuE1)<=>![X1:$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_41, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.22/0.28 thf(c_0_42, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setadjoinIR])).
% 0.22/0.28 thf(c_0_43, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_34])).
% 0.22/0.28 thf(c_0_44, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_35, c_0_34])).
% 0.22/0.28 thf(c_0_45, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_34])).
% 0.22/0.28 thf(c_0_46, plain, ((descrp)=(![X1:$i > $o]:((((?[X105:$i]:(((((X1 @ X105)))&(![X106:$i]:(((((X1 @ X106)))=>(((X105)=(X106))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_36, c_0_37])).
% 0.22/0.28 thf(c_0_47, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X103:$i]:(((((X6 @ X2 @ X103)))&(![X104:$i]:(((((X6 @ X2 @ X104)))=>(((X103)=(X104)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_38, c_0_37])).
% 0.22/0.28 thf(c_0_48, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.22/0.28 thf(c_0_49, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_39])).
% 0.22/0.28 thf(c_0_50, plain, ((exuE1)=(![X1:$i > $o]:((((?[X107:$i]:(((((X1 @ X107)))&(![X108:$i]:(((((X1 @ X108)))=>(((X107)=(X108))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_40, c_0_37])).
% 0.22/0.28 thf(c_0_51, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.22/0.28 thf(c_0_52, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.22/0.28 thf(c_0_53, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.22/0.28 thf(c_0_54, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X109:$i]:(((((X1 @ X109)))&(![X110:$i]:(((((X1 @ X110)))=>(((X109)=(X110))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_41, c_0_37])).
% 0.22/0.28 thf(c_0_55, plain, ((epred1_0)<=>![X140:$i]:(?[X141:$i]:((((![X142:$i]:(((in @ X142 @ X141)=>![X143:$i]:(((in @ X143 @ X142)=>(in @ X143 @ X140)))))&![X144:$i, X145:$i]:((((in @ X144 @ X140)&(in @ X145 @ X140))=>(![X146:$i]:(((in @ X146 @ X141)=>((in @ X144 @ X146)<=>(in @ X145 @ X146))))=>((X144)=(X145))))))&![X147:$i, X148:$i]:((((in @ X147 @ X141)&(in @ X148 @ X141))=>(![X149:$i]:(((in @ X149 @ X147)=>(in @ X149 @ X148)))|![X150:$i]:(((in @ X150 @ X148)=>(in @ X150 @ X147)))))))&![X151:$i]:(((![X152:$i]:(((in @ X152 @ X151)=>(in @ X152 @ X140)))&?[X153:$i]:((in @ X153 @ X151)))=>?[X154:$i, X155:$i]:(((((in @ X154 @ X141)&(in @ X155 @ X151))&~(?[X156:$i]:(((in @ X156 @ X154)&(in @ X156 @ X151)))))&![X157:$i]:(((in @ X157 @ X141)=>(![X158:$i]:(((in @ X158 @ X157)=>(in @ X158 @ X154)))|(in @ X155 @ X157)))))))))))), introduced(definition)).
% 0.22/0.28 thf(c_0_56, negated_conjecture, ~((![X111:$i, X112:$i]:((![X113:$i]:(((in @ X113 @ X111)<=>(in @ X113 @ X112)))=>((X111)=(X112))))=>(![X114:$i]:(~(in @ X114 @ emptyset))=>(![X115:$i, X116:$i, X117:$i]:(((in @ X117 @ (setadjoin @ X115 @ X116))<=>(((X117)=(X115))|(in @ X117 @ X116))))=>(![X118:$i, X119:$i]:(((in @ X119 @ (powerset @ X118))<=>![X120:$i]:(((in @ X120 @ X119)=>(in @ X120 @ X118)))))=>(![X121:$i, X122:$i]:(((in @ X122 @ (setunion @ X121))<=>?[X123:$i]:(((in @ X122 @ X123)&(in @ X123 @ X121)))))=>((in @ emptyset @ omega)=>(![X124:$i]:(((in @ X124 @ omega)=>(in @ (setadjoin @ X124 @ X124) @ omega)))=>(![X125:$i]:((((in @ emptyset @ X125)&![X126:$i]:((((in @ X126 @ omega)&(in @ X126 @ X125))=>(in @ (setadjoin @ X126 @ X126) @ X125))))=>![X127:$i]:(((in @ X127 @ omega)=>(in @ X127 @ X125)))))=>(![X128:$i > $i > $o, X129:$i]:((![X130:$i]:(((in @ X130 @ X129)=>?[X131:$i]:(((X128 @ X130 @ X131)&![X132:$i]:(((X128 @ X130 @ X132)=>((X131)=(X132))))))))=>?[X133:$i]:(![X134:$i]:(((in @ X134 @ X133)<=>?[X135:$i]:(((in @ X135 @ X129)&(X128 @ X135 @ X134))))))))=>(![X136:$i]:((?[X137:$i]:((in @ X137 @ X136))=>?[X138:$i]:(((in @ X138 @ X136)&~(?[X139:$i]:(((in @ X139 @ X138)&(in @ X139 @ X136))))))))=>((epred1_0)=>(![X159:$i > $o]:((?[X160:$i]:(((X159 @ X160)&![X161:$i]:(((X159 @ X161)=>((X160)=(X161))))))=>(X159 @ (descr @ (^[Z0:$i]:(X159 @ Z0))))))=>(![X162:$i, X163:$i > $o, X164:$i]:(((in @ X164 @ X162)=>((X163 @ X164)=>(in @ X164 @ (dsetconstr @ X162 @ X163)))))=>(![X165:$i, X166:$i > $o, X167:$i]:(((in @ X167 @ (dsetconstr @ X165 @ X166))=>(in @ X167 @ X165)))=>(![X168:$i, X169:$i > $o, X170:$i]:(((in @ X170 @ (dsetconstr @ X168 @ X169))=>(X169 @ X170)))=>(![X171:$i > $o]:((?[X172:$i]:(((X171 @ X172)&![X173:$i]:(((X171 @ X173)=>((X172)=(X173))))))=>?[X174:$i]:(((X171 @ X174)&![X175:$i]:(((X171 @ X175)=>((X174)=(X175))))))))=>(![X176:$o, X177:$i]:(((in @ X177 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X176)))))=>(X176)))=>(![X178:$i]:(((in @ X178 @ emptyset)=>![X179:$o]:((X179))))=>(![X180:$i]:(((in @ X180 @ emptyset)=>~($true)))=>(![X181:$i]:(~(in @ X181 @ emptyset))=>(![X182:$i > $o]:((?[X183:$i]:(((X182 @ X183)&![X184:$i]:(((X182 @ X184)=>((X183)=(X184))))))=>?[X185:$i]:((X182 @ X185))))=>(![X186:$i, X187:$i]:((![X188:$i]:(((in @ X188 @ X186)=>(in @ X188 @ X187)))=>(![X189:$i]:(((in @ X189 @ X187)=>(in @ X189 @ X186)))=>((X186)=(X187)))))=>(![X190:$i]:((![X191:$i]:(~(in @ X191 @ X190))=>((X190)=(emptyset))))=>(![X192:$i]:((![X193:$i]:(~(in @ X193 @ X192))=>((X192)=(emptyset))))=>(![X194:$i, X195:$i > $o, X196:$i]:(((in @ X196 @ X194)=>((in @ X196 @ (dsetconstr @ X194 @ X195))<=>(X195 @ X196))))=>(![X197:$i]:((((X197)!=(emptyset))=>?[X198:$i]:((in @ X198 @ X197))))=>(![X199:$i, X200:$i > $o, X201:$i]:(((in @ X201 @ X199)=>((X200 @ X201)=>((dsetconstr @ X199 @ X200)!=(emptyset)))))=>(![X202:$i]:((?[X203:$i]:((in @ X203 @ X202))=>((X202)!=(emptyset))))=>(![X204:$i, X205:$i]:((in @ X204 @ (setadjoin @ X204 @ X205)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_42, c_0_43]), setext]), noeltsimpempty]), c_0_44]), c_0_45]), setextAx]), emptyinunitempty]), setadjoinIL]), omegaIndAx]), omegaSAx]), setadjoinAx]), emptysetAx]), c_0_46]), wellorderingAx]), foundationAx]), c_0_47]), omega0Ax]), setunionAx]), powersetAx]), c_0_48]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), emptyI]), c_0_53]), c_0_54])])]), c_0_55])).
% 0.22/0.28 thf(c_0_57, negated_conjecture, ![X206:$i, X207:$i, X209:$i, X210:$i, X211:$i, X212:$i, X213:$i, X214:$i, X215:$i, X216:$i, X217:$i, X219:$i, X220:$i, X222:$i, X223:$i, X224:$i, X225:$i, X226:$i, X228:$i, X229:$i > $i > $o, X230:$i, X232:$i, X235:$i, X237:$i, X238:$i, X239:$i, X240:$i, X242:$i, X243:$i > $o, X244:$i, X246:$i, X247:$i > $o, X248:$i, X249:$i, X250:$i > $o, X251:$i, X252:$i, X253:$i > $o, X254:$i, X255:$i > $o, X256:$i, X259:$i, X260:$o, X261:$i, X262:$i, X263:$o, X264:$i, X265:$i, X266:$i > $o, X267:$i, X270:$i, X271:$i, X274:$i, X276:$i, X278:$i, X279:$i > $o, X280:$i, X281:$i, X283:$i, X284:$i > $o, X285:$i, X286:$i, X287:$i, X288:$i, X289:$i]:((((~(in @ (esk1_2 @ X206 @ X207) @ X206)|~(in @ (esk1_2 @ X206 @ X207) @ X207)|((X206)=(X207)))&((in @ (esk1_2 @ X206 @ X207) @ X206)|(in @ (esk1_2 @ X206 @ X207) @ X207)|((X206)=(X207))))&(~(in @ X209 @ emptyset)&(((~(in @ X212 @ (setadjoin @ X210 @ X211))|(((X212)=(X210))|(in @ X212 @ X211)))&((((X212)!=(X210))|(in @ X212 @ (setadjoin @ X210 @ X211)))&(~(in @ X212 @ X211)|(in @ X212 @ (setadjoin @ X210 @ X211)))))&(((~(in @ X214 @ (powerset @ X213))|(~(in @ X215 @ X214)|(in @ X215 @ X213)))&(((in @ (esk2_2 @ X216 @ X217) @ X217)|(in @ X217 @ (powerset @ X216)))&(~(in @ (esk2_2 @ X216 @ X217) @ X216)|(in @ X217 @ (powerset @ X216)))))&(((((in @ X220 @ (esk3_2 @ X219 @ X220))|~(in @ X220 @ (setunion @ X219)))&((in @ (esk3_2 @ X219 @ X220) @ X219)|~(in @ X220 @ (setunion @ X219))))&(~(in @ X223 @ X224)|~(in @ X224 @ X222)|(in @ X223 @ (setunion @ X222))))&((in @ emptyset @ omega)&((~(in @ X225 @ omega)|(in @ (setadjoin @ X225 @ X225) @ omega))&(((((in @ (esk4_1 @ X226) @ omega)|~(in @ emptyset @ X226)|(~(in @ X228 @ omega)|(in @ X228 @ X226)))&((in @ (esk4_1 @ X226) @ X226)|~(in @ emptyset @ X226)|(~(in @ X228 @ omega)|(in @ X228 @ X226))))&(~(in @ (setadjoin @ (esk4_1 @ X226) @ (esk4_1 @ X226)) @ X226)|~(in @ emptyset @ X226)|(~(in @ X228 @ omega)|(in @ X228 @ X226))))&((((((in @ (esk8_3 @ X229 @ X230 @ X235) @ X230)|~(in @ X235 @ (esk7_2 @ X229 @ X230))|(in @ (esk5_2 @ X229 @ X230) @ X230))&((X229 @ (esk8_3 @ X229 @ X230 @ X235) @ X235)|~(in @ X235 @ (esk7_2 @ X229 @ X230))|(in @ (esk5_2 @ X229 @ X230) @ X230)))&(~(in @ X238 @ X230)|~(X229 @ X238 @ X237)|(in @ X237 @ (esk7_2 @ X229 @ X230))|(in @ (esk5_2 @ X229 @ X230) @ X230)))&(((((in @ (esk8_3 @ X229 @ X230 @ X235) @ X230)|~(in @ X235 @ (esk7_2 @ X229 @ X230))|((X229 @ (esk5_2 @ X229 @ X230) @ (esk6_3 @ X229 @ X230 @ X232))|~(X229 @ (esk5_2 @ X229 @ X230) @ X232)))&((X229 @ (esk8_3 @ X229 @ X230 @ X235) @ X235)|~(in @ X235 @ (esk7_2 @ X229 @ X230))|((X229 @ (esk5_2 @ X229 @ X230) @ (esk6_3 @ X229 @ X230 @ X232))|~(X229 @ (esk5_2 @ X229 @ X230) @ X232))))&(~(in @ X238 @ X230)|~(X229 @ X238 @ X237)|(in @ X237 @ (esk7_2 @ X229 @ X230))|((X229 @ (esk5_2 @ X229 @ X230) @ (esk6_3 @ X229 @ X230 @ X232))|~(X229 @ (esk5_2 @ X229 @ X230) @ X232))))&((((in @ (esk8_3 @ X229 @ X230 @ X235) @ X230)|~(in @ X235 @ (esk7_2 @ X229 @ X230))|(((X232)!=(esk6_3 @ X229 @ X230 @ X232))|~(X229 @ (esk5_2 @ X229 @ X230) @ X232)))&((X229 @ (esk8_3 @ X229 @ X230 @ X235) @ X235)|~(in @ X235 @ (esk7_2 @ X229 @ X230))|(((X232)!=(esk6_3 @ X229 @ X230 @ X232))|~(X229 @ (esk5_2 @ X229 @ X230) @ X232))))&(~(in @ X238 @ X230)|~(X229 @ X238 @ X237)|(in @ X237 @ (esk7_2 @ X229 @ X230))|(((X232)!=(esk6_3 @ X229 @ X230 @ X232))|~(X229 @ (esk5_2 @ X229 @ X230) @ X232))))))&((((in @ (esk9_1 @ X239) @ X239)|~(in @ X240 @ X239))&(~(in @ X242 @ (esk9_1 @ X239))|~(in @ X242 @ X239)|~(in @ X240 @ X239)))&((epred1_0)&((((X243 @ (esk10_2 @ X243 @ X244))|~(X243 @ X244)|(X243 @ (descr @ X243)))&(((X244)!=(esk10_2 @ X243 @ X244))|~(X243 @ X244)|(X243 @ (descr @ X243))))&((~(in @ X248 @ X246)|(~(X247 @ X248)|(in @ X248 @ (dsetconstr @ X246 @ X247))))&((~(in @ X251 @ (dsetconstr @ X249 @ X250))|(in @ X251 @ X249))&((~(in @ X254 @ (dsetconstr @ X252 @ X253))|(X253 @ X254))&(((((X255 @ (esk12_1 @ X255))|((X255 @ (esk11_2 @ X255 @ X256))|~(X255 @ X256)))&(~(X255 @ X259)|((esk12_1 @ X255)=(X259))|((X255 @ (esk11_2 @ X255 @ X256))|~(X255 @ X256))))&(((X255 @ (esk12_1 @ X255))|(((X256)!=(esk11_2 @ X255 @ X256))|~(X255 @ X256)))&(~(X255 @ X259)|((esk12_1 @ X255)=(X259))|(((X256)!=(esk11_2 @ X255 @ X256))|~(X255 @ X256)))))&((~(in @ X261 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X260)))))|(X260))&((~(in @ X262 @ emptyset)|(X263))&((~(in @ X264 @ emptyset)|~($true))&(~(in @ X265 @ emptyset)&((((X266 @ (esk13_2 @ X266 @ X267))|~(X266 @ X267)|(X266 @ (esk14_1 @ X266)))&(((X267)!=(esk13_2 @ X266 @ X267))|~(X266 @ X267)|(X266 @ (esk14_1 @ X266))))&(((((in @ (esk16_2 @ X270 @ X271) @ X271)|((X270)=(X271))|(in @ (esk15_2 @ X270 @ X271) @ X270))&(~(in @ (esk16_2 @ X270 @ X271) @ X270)|((X270)=(X271))|(in @ (esk15_2 @ X270 @ X271) @ X270)))&(((in @ (esk16_2 @ X270 @ X271) @ X271)|((X270)=(X271))|~(in @ (esk15_2 @ X270 @ X271) @ X271))&(~(in @ (esk16_2 @ X270 @ X271) @ X270)|((X270)=(X271))|~(in @ (esk15_2 @ X270 @ X271) @ X271))))&(((in @ (esk17_1 @ X274) @ X274)|((X274)=(emptyset)))&(((in @ (esk18_1 @ X276) @ X276)|((X276)=(emptyset)))&(((~(in @ X280 @ (dsetconstr @ X278 @ X279))|(X279 @ X280)|~(in @ X280 @ X278))&(~(X279 @ X280)|(in @ X280 @ (dsetconstr @ X278 @ X279))|~(in @ X280 @ X278)))&((((X281)=(emptyset))|(in @ (esk19_1 @ X281) @ X281))&((~(in @ X285 @ X283)|(~(X284 @ X285)|((dsetconstr @ X283 @ X284)!=(emptyset))))&((~(in @ X287 @ X286)|((X286)!=(emptyset)))&((in @ X288 @ (setadjoin @ X288 @ X289))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((in @ esk22_0 @ esk21_0)&~(in @ esk22_0 @ (setadjoin @ esk20_0 @ esk21_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_56])])])])])])])).
% 0.22/0.28 thf(c_0_58, negated_conjecture, ~((in @ esk22_0 @ (setadjoin @ esk20_0 @ esk21_0))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.22/0.28 thf(c_0_59, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X4 @ X3))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.22/0.28 thf(c_0_60, negated_conjecture, (in @ esk22_0 @ esk21_0), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.22/0.28 thf(c_0_61, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_60])]), ['proof']).
% 0.22/0.28 % SZS output end CNFRefutation
% 0.22/0.28 % Parsed axioms : 75
% 0.22/0.28 % Removed by relevancy pruning/SinE : 41
% 0.22/0.28 % Initial clauses : 72
% 0.22/0.28 % Removed in clause preprocessing : 0
% 0.22/0.28 % Initial clauses in saturation : 72
% 0.22/0.28 % Processed clauses : 30
% 0.22/0.28 % ...of these trivial : 0
% 0.22/0.28 % ...subsumed : 9
% 0.22/0.28 % ...remaining for further processing : 21
% 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 : 2
% 0.22/0.28 % Generated clauses : 20
% 0.22/0.28 % ...of the previous two non-redundant : 15
% 0.22/0.28 % ...aggressively subsumed : 0
% 0.22/0.28 % Contextual simplify-reflections : 0
% 0.22/0.28 % Paramodulations : 18
% 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 : 7
% 0.22/0.28 % ...of those cached : 1
% 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 : 17
% 0.22/0.28 % Positive orientable unit clauses : 7
% 0.22/0.28 % Positive unorientable unit clauses: 0
% 0.22/0.28 % Negative unit clauses : 2
% 0.22/0.28 % Non-unit-clauses : 8
% 0.22/0.28 % Current number of unprocessed clauses: 57
% 0.22/0.28 % ...number of literals in the above : 203
% 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) : 18
% 0.22/0.28 % Rec. Clause-clause subsumption calls : 17
% 0.22/0.28 % Non-unit clause-clause subsumptions : 3
% 0.22/0.28 % Unit Clause-clause subsumption calls : 0
% 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 : 9159
% 0.22/0.28 % Search garbage collected termcells : 3529
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.008 s
% 0.22/0.28 % System time : 0.004 s
% 0.22/0.28 % Total time : 0.012 s
% 0.22/0.28 % Maximum resident set size: 4428 pages
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.010 s
% 0.22/0.28 % System time : 0.010 s
% 0.22/0.28 % Total time : 0.020 s
% 0.22/0.28 % Maximum resident set size: 4864 pages
% 0.22/0.28 % E exiting
%------------------------------------------------------------------------------