%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU524^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n006.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 08:28:23 AM UTC 2026
% Result : Theorem 12.63s 4.37s
% Output : Refutation 12.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU524^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.10/0.22 % Computer : n006.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 13:47:54 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.05/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.53/1.09 % [INFO] Parsing done (279ms).
% 1.53/1.10 % [INFO] Running in sequential loop mode.
% 2.40/1.49 % [INFO] eprover registered as external prover.
% 2.40/1.49 % [INFO] Scanning for conjecture ...
% 3.11/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.31/1.81 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.31/1.81 % [INFO] Problem is higher-order (TPTP THF).
% 3.31/1.81 % [INFO] Type checking passed.
% 3.31/1.82 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 12.63/4.36 % External prover 'e' found a proof!
% 12.63/4.36 % [INFO] Killing All external provers ...
% 12.63/4.36 % Time passed: 4001ms (effective reasoning time: 3258ms)
% 12.63/4.37 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 12.63/4.37 % Axioms used in derivation (0):
% 12.63/4.37 % No. of inferences in proof: 106
% 12.63/4.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4001 ms resp. 3258 ms w/o parsing
% 12.30/4.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.30/4.56 thf(in_decl, type, in: ($i > ($i > $o))).
% 12.30/4.56 thf(exu_decl, type, exu: (($i > $o) > $o)).
% 12.30/4.56 thf(setextAx_decl, type, setextAx: $o).
% 12.30/4.56 thf(emptyset_decl, type, emptyset: $i).
% 12.30/4.56 thf(emptysetAx_decl, type, emptysetAx: $o).
% 12.30/4.56 thf(setadjoin_decl, type, setadjoin: ($i > ($i > $i))).
% 12.30/4.56 thf(setadjoinAx_decl, type, setadjoinAx: $o).
% 12.30/4.56 thf(powerset_decl, type, powerset: ($i > $i)).
% 12.30/4.56 thf(powersetAx_decl, type, powersetAx: $o).
% 12.30/4.56 thf(setunion_decl, type, setunion: ($i > $i)).
% 12.30/4.56 thf(setunionAx_decl, type, setunionAx: $o).
% 12.30/4.56 thf(omega_decl, type, omega: $i).
% 12.30/4.56 thf(omega0Ax_decl, type, omega0Ax: $o).
% 12.30/4.56 thf(omegaSAx_decl, type, omegaSAx: $o).
% 12.30/4.56 thf(omegaIndAx_decl, type, omegaIndAx: $o).
% 12.30/4.56 thf(replAx_decl, type, replAx: $o).
% 12.30/4.56 thf(foundationAx_decl, type, foundationAx: $o).
% 12.30/4.56 thf(wellorderingAx_decl, type, wellorderingAx: $o).
% 12.30/4.56 thf(descr_decl, type, descr: (($i > $o) > $i)).
% 12.30/4.56 thf(descrp_decl, type, descrp: $o).
% 12.30/4.56 thf(dsetconstr_decl, type, dsetconstr: ($i > (($i > $o) > $i))).
% 12.30/4.56 thf(dsetconstrI_decl, type, dsetconstrI: $o).
% 12.30/4.56 thf(dsetconstrEL_decl, type, dsetconstrEL: $o).
% 12.30/4.56 thf(dsetconstrER_decl, type, dsetconstrER: $o).
% 12.30/4.56 thf(exuE1_decl, type, exuE1: $o).
% 12.30/4.56 thf(prop2set_decl, type, prop2set: ($o > $i)).
% 12.30/4.56 thf(prop2setE_decl, type, prop2setE: $o).
% 12.30/4.56 thf(emptysetE_decl, type, emptysetE: $o).
% 12.30/4.56 thf(emptysetimpfalse_decl, type, emptysetimpfalse: $o).
% 12.30/4.56 thf(notinemptyset_decl, type, notinemptyset: $o).
% 12.30/4.56 thf(exuE3e_decl, type, exuE3e: $o).
% 12.30/4.56 thf(setext_decl, type, setext: $o).
% 12.30/4.56 thf(emptyI_decl, type, emptyI: $o).
% 12.30/4.56 thf(noeltsimpempty_decl, type, noeltsimpempty: $o).
% 12.30/4.56 thf(setbeta_decl, type, setbeta: $o).
% 12.30/4.56 thf(nonempty_decl, type, nonempty: ($i > $o)).
% 12.30/4.56 thf(nonemptyE1_decl, type, nonemptyE1: $o).
% 12.30/4.56 thf(nonemptyI_decl, type, nonemptyI: $o).
% 12.30/4.56 thf(nonemptyI1_decl, type, nonemptyI1: $o).
% 12.30/4.56 thf(setadjoinIL_decl, type, setadjoinIL: $o).
% 12.30/4.56 thf(emptyinunitempty_decl, type, emptyinunitempty: $o).
% 12.30/4.56 thf(setadjoinIR_decl, type, setadjoinIR: $o).
% 12.30/4.56 thf(setadjoinE_decl, type, setadjoinE: $o).
% 12.30/4.56 thf(setadjoinOr_decl, type, setadjoinOr: $o).
% 12.30/4.56 thf(setoftrueEq_decl, type, setoftrueEq: $o).
% 12.30/4.56 thf(powersetI_decl, type, powersetI: $o).
% 12.30/4.56 thf(emptyinPowerset_decl, type, emptyinPowerset: $o).
% 12.30/4.56 thf(emptyInPowerset_decl, type, emptyInPowerset: $o).
% 12.30/4.56 thf(powersetE_decl, type, powersetE: $o).
% 12.30/4.56 thf(setunionI_decl, type, setunionI: $o).
% 12.30/4.56 thf(setunionE_decl, type, setunionE: $o).
% 12.30/4.56 thf(sk1_decl, type, sk1: ($i > ($i > $i))).
% 12.30/4.56 thf(sk2_decl, type, sk2: ($i > $i)).
% 12.30/4.56 thf(sk3_decl, type, sk3: ($i > (($i > ($i > $o)) > $i))).
% 12.30/4.56 thf(sk4_decl, type, sk4: ($i > ($i > (($i > ($i > $o)) > $i)))).
% 12.30/4.56 thf(sk5_decl, type, sk5: ($i > (($i > ($i > $o)) > $i))).
% 12.30/4.56 thf(sk6_decl, type, sk6: ($i > $i)).
% 12.30/4.56 thf(sk7_decl, type, sk7: ($i > $i)).
% 12.30/4.56 thf(sk8_decl, type, sk8: ($i > ($i > ($i > $i)))).
% 12.30/4.56 thf(sk9_decl, type, sk9: ($i > ($i > $o))).
% 12.30/4.56 thf(sk10_decl, type, sk10: ($i > ($i > $i))).
% 12.30/4.56 thf(sk11_decl, type, sk11: ($i > ($i > $i))).
% 12.30/4.56 thf(sk12_decl, type, sk12: ($i > ($i > $i))).
% 12.30/4.56 thf(sk13_decl, type, sk13: ($i > (($i > $o) > $i))).
% 12.30/4.56 thf(sk14_decl, type, sk14: ($i > (($i > $o) > $i))).
% 12.30/4.56 thf(sk15_decl, type, sk15: (($i > $o) > $i)).
% 12.30/4.56 thf(sk16_decl, type, sk16: ($i > ($i > $i))).
% 12.30/4.56 thf(sk17_decl, type, sk17: ($i > ($i > $i))).
% 12.30/4.56 thf(sk18_decl, type, sk18: ($i > $i)).
% 12.30/4.56 thf(sk19_decl, type, sk19: ($i > $i)).
% 12.30/4.56 thf(sk20_decl, type, sk20: ($i > $i)).
% 12.30/4.56 thf(sk21_decl, type, sk21: ($i > ($i > $i))).
% 12.30/4.56 thf(sk22_decl, type, sk22: ($o > ($i > ($i > $i)))).
% 12.30/4.56 thf(sk23_decl, type, sk23: $i).
% 12.30/4.56 thf(sk24_decl, type, sk24: $i).
% 12.30/4.56 thf(sk26_decl, type, sk26: $i).
% 12.30/4.56 thf(exu_def, definition, exu = (^ [A:($i > $o)]: ? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) ).
% 12.30/4.56 thf(setextAx_def, definition, setextAx = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) = (in @ C @ B))) => (A = B))) ).
% 12.30/4.56 thf(emptysetAx_def, definition, emptysetAx = (! [A:$i]: ~ (in @ A @ emptyset)) ).
% 12.30/4.56 thf(setadjoinAx_def, definition, setadjoinAx = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) = ((C = A) | (in @ C @ B)))) ).
% 12.30/4.56 thf(powersetAx_def, definition, powersetAx = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A))))) ).
% 12.30/4.56 thf(setunionAx_def, definition, setunionAx = (! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) = (? [C:$i]: ((in @ B @ C) & (in @ C @ A))))) ).
% 12.30/4.56 thf(omega0Ax_def, definition, omega0Ax = (in @ emptyset @ omega) ).
% 12.30/4.56 thf(omegaSAx_def, definition, omegaSAx = (! [A:$i]: ((in @ A @ omega) => (in @ (setadjoin @ A @ A) @ omega))) ).
% 12.30/4.56 thf(omegaIndAx_def, definition, omegaIndAx = (! [A:$i]: (((in @ emptyset @ A) & ! [B:$i]: (((in @ B @ omega) & (in @ B @ A)) => (in @ (setadjoin @ B @ B) @ A))) => (! [B:$i]: ((in @ B @ omega) => (in @ B @ A))))) ).
% 12.30/4.56 thf(replAx_def, definition, replAx = (! [A:($i > ($i > $o)),B:$i]: ((! [C:$i]: ((in @ C @ B) => (exu @ (A @ C)))) => (? [C:$i]: ! [D:$i]: ((in @ D @ C) = (? [E:$i]: ((in @ E @ B) & (A @ E @ D))))))) ).
% 12.30/4.56 thf(foundationAx_def, definition, foundationAx = (! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (? [B:$i]: ((in @ B @ A) & ~ (? [C:$i]: ((in @ C @ B) & (in @ C @ A))))))) ).
% 12.30/4.56 thf(wellorderingAx_def, definition, wellorderingAx = (! [A:$i]: ? [B:$i]: (! [C:$i]: ((in @ C @ B) => (! [D:$i]: ((in @ D @ C) => (in @ D @ A)))) & ! [C:$i,D:$i]: (((in @ C @ A) & (in @ D @ A)) => ((! [E:$i]: ((in @ E @ B) => ((in @ C @ E) = (in @ D @ E)))) => (C = D))) & ! [C:$i,D:$i]: (((in @ C @ B) & (in @ D @ B)) => (! [E:$i]: ((in @ E @ C) => (in @ E @ D)) | ! [E:$i]: ((in @ E @ D) => (in @ E @ C)))) & ! [C:$i]: ((! [D:$i]: ((in @ D @ C) => (in @ D @ A)) & ? [D:$i]: (in @ D @ C)) => (? [D:$i,E:$i]: ((in @ D @ B) & (in @ E @ C) & ~ (? [F:$i]: ((in @ F @ D) & (in @ F @ C))) & ! [F:$i]: ((in @ F @ B) => (! [G:$i]: ((in @ G @ F) => (in @ G @ D)) | (in @ E @ F)))))))) ).
% 12.30/4.56 thf(descrp_def, definition, descrp = (! [A:($i > $o)]: ((exu @ (A)) => (A @ (descr @ (A))))) ).
% 12.30/4.56 thf(dsetconstrI_def, definition, dsetconstrI = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (in @ C @ (dsetconstr @ A @ (B)))))) ).
% 12.30/4.56 thf(dsetconstrEL_def, definition, dsetconstrEL = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (in @ C @ A))) ).
% 12.30/4.56 thf(dsetconstrER_def, definition, dsetconstrER = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (B @ C))) ).
% 12.30/4.56 thf(exuE1_def, definition, exuE1 = (! [A:($i > $o)]: ((exu @ (A)) => (? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))))) ).
% 12.30/4.56 thf(prop2set_def, definition, prop2set = (^ [A:$o]: (dsetconstr @ (powerset @ emptyset) @ (^ [B:$i]: (A)))) ).
% 12.30/4.56 thf(prop2setE_def, definition, prop2setE = (! [A:$o,B:$i]: ((in @ B @ (prop2set @ A)) => (A))) ).
% 12.30/4.56 thf(emptysetE_def, definition, emptysetE = (! [A:$i]: ((in @ A @ emptyset) => (! [B:$o]: (B)))) ).
% 12.30/4.56 thf(emptysetimpfalse_def, definition, emptysetimpfalse = (! [A:$i]: ((in @ A @ emptyset) => (($false)))) ).
% 12.30/4.56 thf(notinemptyset_def, definition, notinemptyset = (! [A:$i]: ~ (in @ A @ emptyset)) ).
% 12.30/4.56 thf(exuE3e_def, definition, exuE3e = (! [A:($i > $o)]: ((exu @ (A)) => (? [B:$i]: (A @ B)))) ).
% 12.30/4.56 thf(setext_def, definition, setext = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) => (in @ C @ B))) => ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (A = B)))) ).
% 12.30/4.56 thf(emptyI_def, definition, emptyI = (! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) ).
% 12.30/4.56 thf(noeltsimpempty_def, definition, noeltsimpempty = (! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) ).
% 12.30/4.56 thf(setbeta_def, definition, setbeta = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((in @ C @ (dsetconstr @ A @ (B))) = (B @ C)))) ).
% 12.30/4.56 thf(nonempty_def, definition, nonempty = (^ [A:$i]: (A != emptyset)) ).
% 12.30/4.56 thf(nonemptyE1_def, definition, nonemptyE1 = (! [A:$i]: ((nonempty @ A) => (? [B:$i]: (in @ B @ A)))) ).
% 12.30/4.56 thf(nonemptyI_def, definition, nonemptyI = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (nonempty @ (dsetconstr @ A @ (B)))))) ).
% 12.30/4.56 thf(nonemptyI1_def, definition, nonemptyI1 = (! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (nonempty @ A))) ).
% 12.30/4.56 thf(setadjoinIL_def, definition, setadjoinIL = (! [A:$i,B:$i]: (in @ A @ (setadjoin @ A @ B))) ).
% 12.30/4.56 thf(emptyinunitempty_def, definition, emptyinunitempty = (in @ emptyset @ (setadjoin @ emptyset @ emptyset)) ).
% 12.30/4.56 thf(setadjoinIR_def, definition, setadjoinIR = (! [A:$i,B:$i,C:$i]: ((in @ C @ B) => (in @ C @ (setadjoin @ A @ B)))) ).
% 12.30/4.56 thf(setadjoinE_def, definition, setadjoinE = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => (! [D:$o]: (((C = A) => (D)) => (((in @ C @ B) => (D)) => (D)))))) ).
% 12.30/4.56 thf(setadjoinOr_def, definition, setadjoinOr = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => ((C = A) | (in @ C @ B)))) ).
% 12.30/4.56 thf(setoftrueEq_def, definition, setoftrueEq = (! [A:$i]: ((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A)) ).
% 12.30/4.56 thf(powersetI_def, definition, powersetI = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (in @ B @ (powerset @ A)))) ).
% 12.30/4.56 thf(emptyinPowerset_def, definition, emptyinPowerset = (! [A:$i]: (in @ emptyset @ (powerset @ A))) ).
% 12.30/4.56 thf(emptyInPowerset_def, definition, emptyInPowerset = (! [A:$i]: (in @ emptyset @ (powerset @ A))) ).
% 12.30/4.56 thf(powersetE_def, definition, powersetE = (! [A:$i,B:$i,C:$i]: ((in @ B @ (powerset @ A)) => ((in @ C @ B) => (in @ C @ A)))) ).
% 12.30/4.56 thf(setunionI_def, definition, setunionI = (! [A:$i,B:$i,C:$i]: ((in @ B @ C) => ((in @ C @ A) => (in @ B @ (setunion @ A))))) ).
% 12.30/4.56 thf(setunionE_def, definition, setunionE = (! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) => (! [C:$o]: ((! [D:$i]: ((in @ B @ D) => ((in @ D @ A) => (C)))) => (C))))) ).
% 12.30/4.56 thf(sk1_def, definition, sk1 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) = (in @ C @ A)))) ).
% 12.30/4.56 thf(sk2_def, definition, sk2 = (^ [A:$i]: (@+ [B:$i]: ~ (((in @ B @ omega) & (in @ B @ A)) => (in @ (setadjoin @ B @ B) @ A)))) ).
% 12.30/4.56 thf(sk3_def, definition, sk3 = (^ [A:$i,B:($i > ($i > $o))]: (@+ [C:$i]: ~ ((in @ C @ A) => (? [D:$i]: ((B @ C @ D) & ! [E:$i]: ((B @ C @ E) => (D = E))))))) ).
% 12.30/4.56 thf(sk4_def, definition, sk4 = (^ [A:$i,B:$i,C:($i > ($i > $o))]: (@+ [D:$i]: ~ ((C @ (sk3 @ B @ C) @ D) => (A = D)))) ).
% 12.30/4.56 thf(sk5_def, definition, sk5 = (^ [A:$i,B:($i > ($i > $o))]: (@+ [C:$i]: ! [D:$i]: ((in @ D @ C) = (? [E:$i]: ((in @ E @ A) & (B @ E @ D)))))) ).
% 12.30/4.56 thf(sk6_def, definition, sk6 = (^ [A:$i]: (@+ [B:$i]: ((in @ B @ A) & ~ (? [C:$i]: ((in @ C @ B) & (in @ C @ A)))))) ).
% 12.30/4.56 thf(sk7_def, definition, sk7 = (^ [A:$i]: (@+ [B:$i]: (! [C:$i]: ((in @ C @ B) => (! [D:$i]: ((in @ D @ C) => (in @ D @ A)))) & ! [C:$i,D:$i]: (((in @ C @ A) & (in @ D @ A)) => ((! [E:$i]: ((in @ E @ B) => ((in @ C @ E) = (in @ D @ E)))) => (C = D))) & ! [C:$i,D:$i]: (((in @ C @ B) & (in @ D @ B)) => (! [E:$i]: ((in @ E @ C) => (in @ E @ D)) | ! [E:$i]: ((in @ E @ D) => (in @ E @ C)))) & ! [C:$i]: ((! [D:$i]: ((in @ D @ C) => (in @ D @ A)) & ? [D:$i]: (in @ D @ C)) => (? [D:$i]: ((in @ D @ B) & ? [E:$i]: ((in @ E @ C) & ~ (? [F:$i]: ((in @ F @ D) & (in @ F @ C))) & ! [F:$i]: ((in @ F @ B) => (! [G:$i]: ((in @ G @ F) => (in @ G @ D)) | (in @ E @ F)))))))))) ).
% 12.30/4.56 thf(sk8_def, definition, sk8 = (^ [A:$i,B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ D @ (sk7 @ C)) => ((in @ B @ D) = (in @ A @ D))))) ).
% 12.30/4.56 thf(sk10_def, definition, sk10 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ A) => (in @ C @ B)))) ).
% 12.30/4.56 thf(sk11_def, definition, sk11 = (^ [A:$i,B:$i]: (@+ [C:$i]: ((in @ C @ (sk7 @ B)) & ? [D:$i]: ((in @ D @ A) & ~ (? [E:$i]: ((in @ E @ C) & (in @ E @ A))) & ! [E:$i]: ((in @ E @ (sk7 @ B)) => (! [F:$i]: ((in @ F @ E) => (in @ F @ C)) | (in @ D @ E))))))) ).
% 12.30/4.56 thf(sk12_def, definition, sk12 = (^ [A:$i,B:$i]: (@+ [C:$i]: ((in @ C @ A) & ~ (? [D:$i]: ((in @ D @ (sk11 @ A @ B)) & (in @ D @ A))) & ! [D:$i]: ((in @ D @ (sk7 @ B)) => (! [E:$i]: ((in @ E @ D) => (in @ E @ (sk11 @ A @ B))) | (in @ C @ D)))))) ).
% 12.30/4.56 thf(sk13_def, definition, sk13 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((B @ C) => (A = C)))) ).
% 12.30/4.56 thf(sk14_def, definition, sk14 = (^ [A:$i,B:($i > $o)]: (@+ [C:$i]: ~ ((B @ C) => (A = C)))) ).
% 12.30/4.56 thf(sk15_def, definition, sk15 = ((@+) @ $i) ).
% 12.30/4.56 thf(sk16_def, definition, sk16 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ B) => (in @ C @ A)))) ).
% 12.30/4.56 thf(sk17_def, definition, sk17 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ A) => (in @ C @ B)))) ).
% 12.30/4.56 thf(sk18_def, definition, sk18 = (^ [A:$i]: (@+ [B:$i]: (in @ B @ A))) ).
% 12.30/4.56 thf(sk19_def, definition, sk19 = (^ [A:$i]: (@+ [B:$i]: (in @ B @ A))) ).
% 12.30/4.56 thf(sk20_def, definition, sk20 = (^ [A:$i]: (@+ [B:$i]: (in @ B @ A))) ).
% 12.30/4.56 thf(sk21_def, definition, sk21 = (^ [A:$i,B:$i]: (@+ [C:$i]: ~ ((in @ C @ A) => (in @ C @ B)))) ).
% 12.30/4.56 thf(sk22_def, definition, sk22 = (^ [A:$o,B:$i,C:$i]: (@+ [D:$i]: ~ ((in @ B @ D) => ((in @ D @ C) => (A))))) ).
% 12.30/4.56 thf(sk23_def, definition, sk23 = (@+ [A:$i]: ~ (! [B:$i]: ((in @ B @ A) => (in @ B @ (powerset @ (setunion @ A)))))) ).
% 12.30/4.56 thf(sk24_def, definition, sk24 = (@+ [A:$i]: ~ ((in @ A @ sk23) => (in @ A @ (powerset @ (setunion @ sk23))))) ).
% 12.30/4.56 thf(sk26_def, definition, sk26 = (@+ [A:$i]: ~ ((in @ A @ sk24) => (in @ A @ (setunion @ sk23)))) ).
% 12.30/4.56 thf(1,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) => (! [A:$i,B:$i]: ((in @ B @ A) => (in @ B @ (powerset @ (setunion @ A)))))))))))))))))))))))))))))))))))))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subPowSU)).
% 12.30/4.56 thf(2,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) => (! [A:$i,B:$i]: ((in @ B @ A) => (in @ B @ (powerset @ (setunion @ A))))))))))))))))))))))))))))))))))))))))))))))),inference(neg_conjecture,[status(cth)],[1])).
% 12.30/4.56 thf(3,plain,((~ ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) = (in @ C @ B))) => (A = B))) => ((! [A:$i]: ~ (in @ A @ emptyset)) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) = ((C = A) | (in @ C @ B)))) => ((! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A))))) => ((! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) = (? [C:$i]: ((in @ B @ C) & (in @ C @ A))))) => ((in @ emptyset @ omega) => ((! [A:$i]: ((in @ A @ omega) => (in @ (setadjoin @ A @ A) @ omega))) => ((! [A:$i]: (((in @ emptyset @ A) & ! [B:$i]: (((in @ B @ omega) & (in @ B @ A)) => (in @ (setadjoin @ B @ B) @ A))) => (! [B:$i]: ((in @ B @ omega) => (in @ B @ A))))) => ((! [A:($i > ($i > $o)),B:$i]: ((! [C:$i]: ((in @ C @ B) => (? [D:$i]: ((A @ C @ D) & ! [E:$i]: ((A @ C @ E) => (D = E)))))) => (? [C:$i]: ! [D:$i]: ((in @ D @ C) = (? [E:$i]: ((in @ E @ B) & (A @ E @ D))))))) => ((! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (? [B:$i]: ((in @ B @ A) & ~ (? [C:$i]: ((in @ C @ B) & (in @ C @ A))))))) => ((! [A:$i]: ? [B:$i]: (! [C:$i]: ((in @ C @ B) => (! [D:$i]: ((in @ D @ C) => (in @ D @ A)))) & ! [C:$i,D:$i]: (((in @ C @ A) & (in @ D @ A)) => ((! [E:$i]: ((in @ E @ B) => ((in @ C @ E) = (in @ D @ E)))) => (C = D))) & ! [C:$i,D:$i]: (((in @ C @ B) & (in @ D @ B)) => (! [E:$i]: ((in @ E @ C) => (in @ E @ D)) | ! [E:$i]: ((in @ E @ D) => (in @ E @ C)))) & ! [C:$i]: ((! [D:$i]: ((in @ D @ C) => (in @ D @ A)) & ? [D:$i]: (in @ D @ C)) => (? [D:$i,E:$i]: ((in @ D @ B) & (in @ E @ C) & ~ (? [F:$i]: ((in @ F @ D) & (in @ F @ C))) & ! [F:$i]: ((in @ F @ B) => (! [G:$i]: ((in @ G @ F) => (in @ G @ D)) | (in @ E @ F)))))))) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (A @ (descr @ (A))))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (in @ C @ (dsetconstr @ A @ (B)))))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (in @ C @ A))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (B @ C))) => ((! [A:$o,B:$i]: ((in @ B @ (dsetconstr @ (powerset @ emptyset) @ (^ [C:$i]: (A)))) => (A))) => ((! [A:$i]: ((in @ A @ emptyset) => (! [B:$o]: (B)))) => ((! [A:$i]: ~ (in @ A @ emptyset)) => ((! [A:$i]: ~ (in @ A @ emptyset)) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (? [B:$i]: (A @ B)))) => ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) => (in @ C @ B))) => ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (A = B)))) => ((! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) => ((! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((in @ C @ (dsetconstr @ A @ (B))) = (B @ C)))) => ((! [A:$i]: ((~ (A = emptyset)) => (? [B:$i]: (in @ B @ A)))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (~ ((dsetconstr @ A @ (B)) = emptyset))))) => ((! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (~ (A = emptyset)))) => ((! [A:$i,B:$i]: (in @ A @ (setadjoin @ A @ B))) => ((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ B) => (in @ C @ (setadjoin @ A @ B)))) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => (! [D:$o]: (((C = A) => (D)) => (((in @ C @ B) => (D)) => (D)))))) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => ((C = A) | (in @ C @ B)))) => ((! [A:$i]: ((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A)) => ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (in @ B @ (powerset @ A)))) => ((! [A:$i]: (in @ emptyset @ (powerset @ A))) => ((! [A:$i]: (in @ emptyset @ (powerset @ A))) => ((! [A:$i,B:$i,C:$i]: ((in @ B @ (powerset @ A)) => ((in @ C @ B) => (in @ C @ A)))) => ((! [A:$i,B:$i,C:$i]: ((in @ B @ C) => ((in @ C @ A) => (in @ B @ (setunion @ A))))) => ((! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) => (! [C:$o]: ((! [D:$i]: ((in @ B @ D) => ((in @ D @ A) => (C)))) => (C))))) => (! [A:$i,B:$i]: ((in @ B @ A) => (in @ B @ (powerset @ (setunion @ A)))))))))))))))))))))))))))))))))))))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 12.30/4.56 thf(4,plain,((~ ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) = (in @ C @ B))) => (A = B))) => ((~ (? [A:$i]: (in @ A @ emptyset))) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) = ((C = A) | (in @ C @ B)))) => ((! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A))))) => ((! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) = (? [C:$i]: ((in @ B @ C) & (in @ C @ A))))) => ((in @ emptyset @ omega) => ((! [A:$i]: ((in @ A @ omega) => (in @ (setadjoin @ A @ A) @ omega))) => ((! [A:$i]: (((in @ emptyset @ A) & ! [B:$i]: (((in @ B @ omega) & (in @ B @ A)) => (in @ (setadjoin @ B @ B) @ A))) => (! [B:$i]: ((in @ B @ omega) => (in @ B @ A))))) => ((! [A:($i > ($i > $o)),B:$i]: ((! [C:$i]: ((in @ C @ B) => (? [D:$i]: ((A @ C @ D) & ! [E:$i]: ((A @ C @ E) => (D = E)))))) => (? [C:$i]: ! [D:$i]: ((in @ D @ C) = (? [E:$i]: ((in @ E @ B) & (A @ E @ D))))))) => ((! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (? [B:$i]: ((in @ B @ A) & ~ (? [C:$i]: ((in @ C @ B) & (in @ C @ A))))))) => ((! [A:$i]: ? [B:$i]: (! [C:$i]: ((in @ C @ B) => (! [D:$i]: ((in @ D @ C) => (in @ D @ A)))) & ! [C:$i,D:$i]: (((in @ C @ A) & (in @ D @ A)) => ((! [E:$i]: ((in @ E @ B) => ((in @ C @ E) = (in @ D @ E)))) => (C = D))) & ! [C:$i,D:$i]: (((in @ C @ B) & (in @ D @ B)) => (! [E:$i]: ((in @ E @ C) => (in @ E @ D)) | ! [E:$i]: ((in @ E @ D) => (in @ E @ C)))) & ! [C:$i]: ((! [D:$i]: ((in @ D @ C) => (in @ D @ A)) & ? [D:$i]: (in @ D @ C)) => (? [D:$i]: ((in @ D @ B) & ? [E:$i]: ((in @ E @ C) & ~ (? [F:$i]: ((in @ F @ D) & (in @ F @ C))) & ! [F:$i]: ((in @ F @ B) => (! [G:$i]: ((in @ G @ F) => (in @ G @ D)) | (in @ E @ F))))))))) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (A @ (descr @ (A))))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (in @ C @ (dsetconstr @ A @ (B)))))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (in @ C @ A))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (B @ C))) => ((! [A:$o]: ((? [B:$i]: (in @ B @ (dsetconstr @ (powerset @ emptyset) @ (^ [C:$i]: (A))))) => (A))) => (((? [A:$i]: (in @ A @ emptyset)) => (! [A:$o]: (A))) => ((~ (? [A:$i]: (in @ A @ emptyset))) => ((~ (? [A:$i]: (in @ A @ emptyset))) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (? [B:$i]: (A @ B)))) => ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) => (in @ C @ B))) => ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (A = B)))) => ((! [A:$i]: ((~ (? [B:$i]: (in @ B @ A))) => (A = emptyset))) => ((! [A:$i]: ((~ (? [B:$i]: (in @ B @ A))) => (A = emptyset))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((in @ C @ (dsetconstr @ A @ (B))) = (B @ C)))) => ((! [A:$i]: ((~ (A = emptyset)) => (? [B:$i]: (in @ B @ A)))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (~ ((dsetconstr @ A @ (B)) = emptyset))))) => ((! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (~ (A = emptyset)))) => ((! [A:$i,B:$i]: (in @ A @ (setadjoin @ A @ B))) => ((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ B) => (in @ C @ (setadjoin @ A @ B)))) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => (! [D:$o]: (((C = A) => (D)) => (((in @ C @ B) => (D)) => (D)))))) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => ((C = A) | (in @ C @ B)))) => ((! [A:$i]: ((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A)) => ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (in @ B @ (powerset @ A)))) => ((! [A:$i]: (in @ emptyset @ (powerset @ A))) => ((! [A:$i]: (in @ emptyset @ (powerset @ A))) => ((! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) => (! [C:$i]: ((in @ C @ B) => (in @ C @ A))))) => ((! [A:$i,B:$i,C:$i]: ((in @ B @ C) => ((in @ C @ A) => (in @ B @ (setunion @ A))))) => ((! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) => (! [C:$o]: ((! [D:$i]: ((in @ B @ D) => ((in @ D @ A) => (C)))) => (C))))) => (! [A:$i,B:$i]: ((in @ B @ A) => (in @ B @ (powerset @ (setunion @ A)))))))))))))))))))))))))))))))))))))))))))))),inference(miniscope,[status(thm)],[3])).
% 12.30/4.56 thf(5,plain,(! [ZZZN:$o,ZZZM:$i,ZZZL:$i,ZZZK:$i,ZZZJ:$i,ZZZI:$i,ZZZH:$i,ZZZG:$i,ZZZF:$i,ZZZE:$i,ZZZD:$i,ZZZC:$i,ZZZB:$i,ZZZA:$i,ZZZ:$i,ZZY:$i,ZZX:$i,ZZW:$o,ZZV:$i,ZZU:$i,ZZT:$i,ZZS:$i,ZZR:$i,ZZQ:$i,ZZP:$i,ZZO:$i,ZZN:$i,ZZM:$i,ZZL:$i,ZZK:($i > $o),ZZJ:$i,ZZI:$i,ZZH:$i,ZZG:($i > $o),ZZF:$i,ZZE:$i,ZZD:$i,ZZC:$i,ZZB:$i,ZZA:$i,ZZ:($i > $o),ZY:$i,ZX:$i,ZW:$o,ZV:$i,ZU:$i,ZT:$o,ZS:$i,ZR:($i > $o),ZQ:$i,ZP:$i,ZO:($i > $o),ZN:$i,ZM:$i,ZL:($i > $o),ZK:$i,ZJ:$i,ZI:($i > $o),ZH:$i,ZG:$i,ZF:$i,ZE:$i,ZD:$i,ZC:$i,ZB:$i,ZA:$i,Z:$i,Y:$i,X:$i,W:$i,V:$i,U:$i,T:$i,S:$i,R:$i,Q:$i,P:$i,O:$i,N:($i > ($i > $o)),M:$i,L:$i,K:$i,J:$i,I:$i,H:$i,G:$i,F:$i,E:$i,D:$i,C:$i,B:$i,A:$i] : (((~ ((in @ (sk1 @ B @ A) @ A) = (in @ (sk1 @ B @ A) @ B)) | (A = B)) & ~ (in @ C @ emptyset) & ((in @ F @ (setadjoin @ D @ E)) = ((F = D) | (in @ F @ E))) & ((in @ H @ (powerset @ G)) = (! [ZZZO:$i]: ((in @ ZZZO @ H) => (in @ ZZZO @ G)))) & ((in @ J @ (setunion @ I)) = (? [ZZZO:$i]: ((in @ J @ ZZZO) & (in @ ZZZO @ I)))) & (in @ emptyset @ omega) & (~ (in @ K @ omega) | (in @ (setadjoin @ K @ K) @ omega)) & (~ (in @ emptyset @ L) | (in @ (sk2 @ L) @ omega) | ~ (in @ M @ omega) | (in @ M @ L)) & (~ (in @ emptyset @ L) | (in @ (sk2 @ L) @ L) | ~ (in @ M @ omega) | (in @ M @ L)) & (~ (in @ emptyset @ L) | ~ (in @ (setadjoin @ (sk2 @ L) @ (sk2 @ L)) @ L) | ~ (in @ M @ omega) | (in @ M @ L)) & ((in @ (sk3 @ O @ (N)) @ O) | ((in @ Q @ (sk5 @ O @ (N))) = (? [ZZZO:$i]: ((in @ ZZZO @ O) & (N @ ZZZO @ Q))))) & (~ (N @ (sk3 @ O @ (N)) @ P) | (N @ (sk3 @ O @ (N)) @ (sk4 @ P @ O @ (N))) | ((in @ Q @ (sk5 @ O @ (N))) = (? [ZZZO:$i]: ((in @ ZZZO @ O) & (N @ ZZZO @ Q))))) & (~ (N @ (sk3 @ O @ (N)) @ P) | ~ (P = (sk4 @ P @ O @ (N))) | ((in @ Q @ (sk5 @ O @ (N))) = (? [ZZZO:$i]: ((in @ ZZZO @ O) & (N @ ZZZO @ Q))))) & (~ (in @ S @ R) | (in @ (sk6 @ R) @ R)) & (~ (in @ S @ R) | ~ (in @ T @ (sk6 @ R)) | ~ (in @ T @ R)) & (~ (in @ V @ (sk7 @ U)) | ~ (in @ W @ V) | (in @ W @ U)) & (~ (in @ X @ U) | ~ (in @ Y @ U) | (in @ (sk8 @ Y @ X @ U) @ (sk7 @ U)) | (X = Y)) & (~ (in @ X @ U) | ~ (in @ Y @ U) | ~ ((in @ X @ (sk8 @ Y @ X @ U)) = (in @ Y @ (sk8 @ Y @ X @ U))) | (X = Y)) & (~ (in @ Z @ (sk7 @ U)) | ~ (in @ ZA @ (sk7 @ U)) | ~ (in @ ZB @ Z) | (in @ ZB @ ZA) | ~ (in @ ZC @ ZA) | (in @ ZC @ Z)) & ((in @ (sk10 @ ZD @ U) @ ZD) | ~ (in @ ZE @ ZD) | (sk9 @ U @ ZD)) & (~ (in @ (sk10 @ ZD @ U) @ U) | ~ (in @ ZE @ ZD) | (sk9 @ U @ ZD)) & (~ (sk9 @ U @ ZD) | (in @ (sk11 @ ZD @ U) @ (sk7 @ U))) & (~ (sk9 @ U @ ZD) | (in @ (sk12 @ ZD @ U) @ ZD)) & (~ (sk9 @ U @ ZD) | ~ (in @ ZF @ (sk11 @ ZD @ U)) | ~ (in @ ZF @ ZD)) & (~ (sk9 @ U @ ZD) | ~ (in @ ZG @ (sk7 @ U)) | ~ (in @ ZH @ ZG) | (in @ ZH @ (sk11 @ ZD @ U)) | (in @ (sk12 @ ZD @ U) @ ZG)) & (~ (ZI @ ZJ) | (ZI @ (sk13 @ ZJ @ (ZI))) | (ZI @ (descr @ (ZI)))) & (~ (ZI @ ZJ) | ~ (ZJ = (sk13 @ ZJ @ (ZI))) | (ZI @ (descr @ (ZI)))) & (~ (in @ ZM @ ZK) | ~ (ZL @ ZM) | (in @ ZM @ (dsetconstr @ ZK @ (ZL)))) & (~ (in @ ZP @ (dsetconstr @ ZN @ (ZO))) | (in @ ZP @ ZN)) & (~ (in @ ZS @ (dsetconstr @ ZQ @ (ZR))) | (ZR @ ZS)) & (~ (in @ ZU @ (dsetconstr @ (powerset @ emptyset) @ (^ [ZZZO:$i]: (ZT)))) | (ZT)) & (~ (in @ ZV @ emptyset) | (ZW)) & ~ (in @ ZX @ emptyset) & ~ (in @ ZY @ emptyset) & (~ (ZZ @ ZZA) | (ZZ @ (sk14 @ ZZA @ (ZZ))) | (ZZ @ (sk15 @ (ZZ)))) & (~ (ZZ @ ZZA) | ~ (ZZA = (sk14 @ ZZA @ (ZZ))) | (ZZ @ (sk15 @ (ZZ)))) & ((in @ (sk16 @ ZZC @ ZZB) @ ZZB) | (in @ (sk17 @ ZZC @ ZZB) @ ZZC) | (ZZB = ZZC)) & ((in @ (sk16 @ ZZC @ ZZB) @ ZZB) | ~ (in @ (sk17 @ ZZC @ ZZB) @ ZZB) | (ZZB = ZZC)) & (~ (in @ (sk16 @ ZZC @ ZZB) @ ZZC) | (in @ (sk17 @ ZZC @ ZZB) @ ZZC) | (ZZB = ZZC)) & (~ (in @ (sk16 @ ZZC @ ZZB) @ ZZC) | ~ (in @ (sk17 @ ZZC @ ZZB) @ ZZB) | (ZZB = ZZC)) & ((in @ (sk18 @ ZZD) @ ZZD) | (ZZD = emptyset)) & ((in @ (sk19 @ ZZE) @ ZZE) | (ZZE = emptyset)) & (~ (in @ ZZH @ ZZF) | ((in @ ZZH @ (dsetconstr @ ZZF @ (ZZG))) = (ZZG @ ZZH))) & ((ZZI = emptyset) | (in @ (sk20 @ ZZI) @ ZZI)) & (~ (in @ ZZL @ ZZJ) | ~ (ZZK @ ZZL) | ~ ((dsetconstr @ ZZJ @ (ZZK)) = emptyset)) & (~ (in @ ZZN @ ZZM) | ~ (ZZM = emptyset)) & (in @ ZZO @ (setadjoin @ ZZO @ ZZP)) & (in @ emptyset @ (setadjoin @ emptyset @ emptyset)) & (~ (in @ ZZS @ ZZR) | (in @ ZZS @ (setadjoin @ ZZQ @ ZZR))) & (~ (in @ ZZV @ (setadjoin @ ZZT @ ZZU)) | (ZZV = ZZT) | (in @ ZZV @ ZZU) | (ZZW)) & (~ (in @ ZZV @ (setadjoin @ ZZT @ ZZU)) | (ZZV = ZZT) | ~ (ZZW) | (ZZW)) & (~ (in @ ZZV @ (setadjoin @ ZZT @ ZZU)) | ~ (ZZW) | (in @ ZZV @ ZZU) | (ZZW)) & (~ (in @ ZZV @ (setadjoin @ ZZT @ ZZU)) | ~ (ZZW) | ~ (ZZW) | (ZZW)) & (~ (in @ ZZZ @ (setadjoin @ ZZX @ ZZY)) | (ZZZ = ZZX) | (in @ ZZZ @ ZZY)) & ((dsetconstr @ ZZZA @ (^ [ZZZO:$i]: (($true)))) = ZZZA) & ((in @ (sk21 @ ZZZC @ ZZZB) @ ZZZC) | (in @ ZZZC @ (powerset @ ZZZB))) & (~ (in @ (sk21 @ ZZZC @ ZZZB) @ ZZZB) | (in @ ZZZC @ (powerset @ ZZZB))) & (in @ emptyset @ (powerset @ ZZZD)) & (in @ emptyset @ (powerset @ ZZZE)) & (~ (in @ ZZZG @ (powerset @ ZZZF)) | ~ (in @ ZZZH @ ZZZG) | (in @ ZZZH @ ZZZF)) & (~ (in @ ZZZJ @ ZZZK) | ~ (in @ ZZZK @ ZZZI) | (in @ ZZZJ @ (setunion @ ZZZI))) & (~ (in @ ZZZM @ (setunion @ ZZZL)) | (in @ ZZZM @ (sk22 @ ZZZN @ ZZZM @ ZZZL)) | (ZZZN)) & (~ (in @ ZZZM @ (setunion @ ZZZL)) | (in @ (sk22 @ ZZZN @ ZZZM @ ZZZL) @ ZZZL) | (ZZZN)) & (~ (in @ ZZZM @ (setunion @ ZZZL)) | ~ (ZZZN) | (ZZZN)) & (in @ sk24 @ sk23) & ~ (in @ sk24 @ (powerset @ (setunion @ sk23)))))),inference(cnf,[status(esa)],[4])).
% 12.30/4.56 thf(69,plain,((~ (in @ sk24 @ (powerset @ (setunion @ sk23))))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(39,plain,((in @ emptyset @ omega)),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(24,plain,(! [B:$i,A:$i] : (((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A)))))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(86,plain,(! [B:$i,A:$i] : (((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A)))))),inference(lifteq,[status(thm)],[24])).
% 12.30/4.56 thf(87,plain,(! [B:$i,A:$i] : (((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A)))))),inference(simp,[status(thm)],[86])).
% 12.30/4.56 thf(290,plain,(! [B:$i,A:$i] : ((~ (! [C:$i]: ((in @ C @ B) => (in @ C @ A)))) | ((in @ B @ (powerset @ A)) != (in @ sk24 @ (powerset @ (setunion @ sk23)))))),inference(paramod_ordered,[status(thm)],[87,69])).
% 12.30/4.56 thf(291,plain,((~ (! [A:$i]: ((in @ A @ sk24) => (in @ A @ (setunion @ sk23)))))),inference(pattern_uni,[status(thm)],[290:[bind(A, $thf(setunion @ sk23)),bind(B, $thf(sk24))]])).
% 12.30/4.56 thf(330,plain,(((in @ sk26 @ sk24) & ~ (in @ sk26 @ (setunion @ sk23)))),inference(cnf,[status(esa)],[291])).
% 12.30/4.56 thf(332,plain,((~ (in @ sk26 @ (setunion @ sk23)))),inference(cnfConj,[status(thm)],[330])).
% 12.30/4.56 thf(377,plain,(~ (($true)) | ((in @ sk26 @ (setunion @ sk23)) != (in @ emptyset @ omega))),inference(paramod_ordered,[status(thm)],[39,332])).
% 12.30/4.56 thf(378,plain,(((in @ sk26 @ (setunion @ sk23)) != (in @ emptyset @ omega))),inference(simp,[status(thm)],[377])).
% 12.30/4.56 thf(385,plain,((sk26 != emptyset) | ((setunion @ sk23) != omega)),inference(simp,[status(thm)],[378])).
% 12.30/4.56 thf(7,plain,((in @ sk24 @ sk23)),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(52,plain,(! [A:$i] : ((~ (in @ A @ emptyset)))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(90,plain,(! [A:$i] : ((~ (in @ A @ emptyset)))),inference(simp,[status(thm)],[52])).
% 12.30/4.56 thf(187,plain,(! [A:$i] : (~ (($true)) | ((in @ sk24 @ sk23) != (in @ A @ emptyset)))),inference(paramod_ordered,[status(thm)],[7,90])).
% 12.30/4.56 thf(188,plain,(! [A:$i] : (((in @ sk24 @ sk23) != (in @ A @ emptyset)))),inference(simp,[status(thm)],[187])).
% 12.30/4.56 thf(193,plain,(! [A:$i] : ((sk24 != A) | (sk23 != emptyset))),inference(simp,[status(thm)],[188])).
% 12.30/4.56 thf(196,plain,((sk23 != emptyset)),inference(simp,[status(thm)],[193])).
% 12.30/4.56 thf(26,plain,(! [B:$i,A:($i > $o)] : ((~ (A @ B)) | (~ (B = (sk14 @ B @ (A)))) | (A @ (sk15 @ (A))))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(73,plain,(! [A:$i] : ((~ (A = A)) | (~ (A = (sk14 @ A @ ((=) @ $i @ A)))) | (A = (sk15 @ ((=) @ $i @ A))))),inference(replace_leibeq,[status(thm)],[26:[bind(A, $thf((=) @ $i @ B))]])).
% 12.30/4.56 thf(77,plain,(! [A:$i] : ((A != A) | ((sk14 @ A @ ((=) @ $i @ A)) != A) | (A = (sk15 @ ((=) @ $i @ A))))),inference(lifteq,[status(thm)],[73])).
% 12.30/4.56 thf(78,plain,(! [A:$i] : (((sk14 @ A @ ((=) @ $i @ A)) != A) | (A = (sk15 @ ((=) @ $i @ A))))),inference(simp,[status(thm)],[77])).
% 12.30/4.56 thf(170,plain,(~ (($true)) | ((in @ sk24 @ (powerset @ (setunion @ sk23))) != (in @ sk24 @ sk23))),inference(paramod_ordered,[status(thm)],[7,69])).
% 12.30/4.56 thf(171,plain,(((in @ sk24 @ (powerset @ (setunion @ sk23))) != (in @ sk24 @ sk23))),inference(simp,[status(thm)],[170])).
% 12.30/4.56 thf(176,plain,((sk24 != sk24) | ((powerset @ (setunion @ sk23)) != sk23)),inference(simp,[status(thm)],[171])).
% 12.30/4.56 thf(179,plain,(((powerset @ (setunion @ sk23)) != sk23)),inference(simp,[status(thm)],[176])).
% 12.30/4.56 thf(66,plain,(! [A:$i] : ((A = emptyset) | (in @ (sk20 @ A) @ A))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(79,plain,(! [A:$i] : ((A = emptyset) | (in @ (sk20 @ A) @ A))),inference(lifteq,[status(thm)],[66])).
% 12.30/4.56 thf(80,plain,(! [A:$i] : ((A = emptyset) | (in @ (sk20 @ A) @ A))),inference(simp,[status(thm)],[79])).
% 12.30/4.56 thf(331,plain,((in @ sk26 @ sk24)),inference(cnfConj,[status(thm)],[330])).
% 12.30/4.56 thf(460,plain,(! [A:$i] : ((in @ (sk20 @ A) @ A) | (in @ emptyset @ sk24) | (A != sk26))),inference(paramod_ordered,[status(thm)],[80,331])).
% 12.30/4.56 thf(461,plain,((in @ (sk20 @ sk26) @ sk26) | (in @ emptyset @ sk24)),inference(pattern_uni,[status(thm)],[460:[bind(A, $thf(sk26))]])).
% 12.30/4.56 thf(680,plain,(! [A:$i] : ((in @ emptyset @ sk24) | ~ (($true)) | ((in @ (sk20 @ sk26) @ sk26) != (in @ A @ emptyset)))),inference(paramod_ordered,[status(thm)],[461,90])).
% 12.30/4.56 thf(681,plain,(! [A:$i] : ((in @ emptyset @ sk24) | ((in @ (sk20 @ sk26) @ sk26) != (in @ A @ emptyset)))),inference(simp,[status(thm)],[680])).
% 12.30/4.56 thf(698,plain,(! [A:$i] : ((in @ emptyset @ sk24) | ((sk20 @ sk26) != A) | (sk26 != emptyset))),inference(simp,[status(thm)],[681])).
% 12.30/4.56 thf(706,plain,((in @ emptyset @ sk24) | (sk26 != emptyset)),inference(simp,[status(thm)],[698])).
% 12.30/4.56 thf(21,plain,(! [B:$i,A:$i] : ((in @ A @ (setadjoin @ A @ B)))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(102,plain,(! [B:$i,A:$i] : ((in @ A @ (setadjoin @ A @ B)))),inference(simp,[status(thm)],[21])).
% 12.30/4.56 thf(369,plain,(! [B:$i,A:$i] : (~ (($true)) | ((in @ A @ (setadjoin @ A @ B)) != (in @ sk26 @ (setunion @ sk23))))),inference(paramod_ordered,[status(thm)],[102,332])).
% 12.30/4.56 thf(370,plain,(! [B:$i,A:$i] : (((in @ A @ (setadjoin @ A @ B)) != (in @ sk26 @ (setunion @ sk23))))),inference(simp,[status(thm)],[369])).
% 12.30/4.56 thf(383,plain,(! [B:$i,A:$i] : ((A != sk26) | ((setadjoin @ A @ B) != (setunion @ sk23)))),inference(simp,[status(thm)],[370])).
% 12.30/4.56 thf(393,plain,(! [A:$i] : (((setadjoin @ sk26 @ A) != (setunion @ sk23)))),inference(simp,[status(thm)],[383])).
% 12.30/4.56 thf(272,plain,(! [B:$i,A:$i] : (~ (($true)) | ((in @ A @ (setadjoin @ A @ B)) != (in @ sk24 @ (powerset @ (setunion @ sk23)))))),inference(paramod_ordered,[status(thm)],[102,69])).
% 12.30/4.56 thf(273,plain,(! [B:$i,A:$i] : (((in @ A @ (setadjoin @ A @ B)) != (in @ sk24 @ (powerset @ (setunion @ sk23)))))),inference(simp,[status(thm)],[272])).
% 12.30/4.56 thf(282,plain,(! [B:$i,A:$i] : ((A != sk24) | ((setadjoin @ A @ B) != (powerset @ (setunion @ sk23))))),inference(simp,[status(thm)],[273])).
% 12.30/4.56 thf(286,plain,(! [A:$i] : (((setadjoin @ sk24 @ A) != (powerset @ (setunion @ sk23))))),inference(simp,[status(thm)],[282])).
% 12.30/4.56 thf(29,plain,((in @ emptyset @ (setadjoin @ emptyset @ emptyset))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(183,plain,(! [A:$i] : (~ (($true)) | ((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) != (in @ A @ emptyset)))),inference(paramod_ordered,[status(thm)],[29,90])).
% 12.30/4.56 thf(184,plain,(! [A:$i] : (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) != (in @ A @ emptyset)))),inference(simp,[status(thm)],[183])).
% 12.30/4.56 thf(191,plain,(! [A:$i] : ((emptyset != A) | ((setadjoin @ emptyset @ emptyset) != emptyset))),inference(simp,[status(thm)],[184])).
% 12.30/4.56 thf(198,plain,(((setadjoin @ emptyset @ emptyset) != emptyset)),inference(simp,[status(thm)],[191])).
% 12.30/4.56 thf(398,plain,(~ (($true)) | ((in @ sk26 @ (setunion @ sk23)) != (in @ sk26 @ sk24))),inference(paramod_ordered,[status(thm)],[331,332])).
% 12.30/4.56 thf(399,plain,(((in @ sk26 @ (setunion @ sk23)) != (in @ sk26 @ sk24))),inference(simp,[status(thm)],[398])).
% 12.30/4.56 thf(408,plain,((sk26 != sk26) | ((setunion @ sk23) != sk24)),inference(simp,[status(thm)],[399])).
% 12.30/4.56 thf(414,plain,(((setunion @ sk23) != sk24)),inference(simp,[status(thm)],[408])).
% 12.30/4.56 thf(375,plain,(~ (($true)) | ((in @ sk26 @ (setunion @ sk23)) != (in @ sk24 @ sk23))),inference(paramod_ordered,[status(thm)],[7,332])).
% 12.30/4.56 thf(376,plain,(((in @ sk26 @ (setunion @ sk23)) != (in @ sk24 @ sk23))),inference(simp,[status(thm)],[375])).
% 12.30/4.56 thf(380,plain,((sk26 != sk24) | ((setunion @ sk23) != sk23)),inference(simp,[status(thm)],[376])).
% 12.30/4.56 thf(17,plain,(! [A:$i] : ((in @ emptyset @ (powerset @ A)))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(117,plain,(! [A:$i] : ((in @ emptyset @ (powerset @ A)))),inference(simp,[status(thm)],[17])).
% 12.30/4.56 thf(189,plain,(! [A:$i] : (~ (($true)) | ((in @ emptyset @ omega) != (in @ A @ emptyset)))),inference(paramod_ordered,[status(thm)],[39,90])).
% 12.30/4.56 thf(190,plain,(! [A:$i] : (((in @ emptyset @ omega) != (in @ A @ emptyset)))),inference(simp,[status(thm)],[189])).
% 12.30/4.56 thf(194,plain,(! [A:$i] : ((emptyset != A) | (omega != emptyset))),inference(simp,[status(thm)],[190])).
% 12.30/4.56 thf(197,plain,((omega != emptyset)),inference(simp,[status(thm)],[194])).
% 12.30/4.56 thf(274,plain,(! [C:$i,B:$i,A:$i] : (~ (($true)) | ((in @ A @ (setadjoin @ A @ B)) != (in @ C @ emptyset)))),inference(paramod_ordered,[status(thm)],[102,90])).
% 12.30/4.56 thf(275,plain,(! [C:$i,B:$i,A:$i] : (((in @ A @ (setadjoin @ A @ B)) != (in @ C @ emptyset)))),inference(simp,[status(thm)],[274])).
% 12.30/4.56 thf(281,plain,(! [C:$i,B:$i,A:$i] : ((A != C) | ((setadjoin @ A @ B) != emptyset))),inference(simp,[status(thm)],[275])).
% 12.30/4.56 thf(285,plain,(! [B:$i,A:$i] : (((setadjoin @ B @ A) != emptyset))),inference(simp,[status(thm)],[281])).
% 12.30/4.56 thf(65,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (sk9 @ A @ B)) | (~ (in @ C @ (sk7 @ A))) | (~ (in @ D @ C)) | (in @ D @ (sk11 @ B @ A)) | (in @ (sk12 @ B @ A) @ C))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(76,plain,(! [D:$i,C:$i,B:$i,A:$i] : ((~ (sk9 @ A @ B)) | (~ (in @ C @ (sk7 @ A))) | (~ (in @ D @ C)) | (in @ D @ (sk11 @ B @ A)) | (in @ (sk12 @ B @ A) @ C))),inference(simp,[status(thm)],[65])).
% 12.30/4.56 thf(48,plain,(! [A:$i] : (((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(134,plain,(! [A:$i] : (((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A))),inference(lifteq,[status(thm)],[48])).
% 12.30/4.56 thf(135,plain,(! [A:$i] : (((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A))),inference(simp,[status(thm)],[134])).
% 12.30/4.56 thf(400,plain,(! [A:$i] : (~ (($true)) | ((in @ sk26 @ sk24) != (in @ A @ emptyset)))),inference(paramod_ordered,[status(thm)],[331,90])).
% 12.30/4.56 thf(401,plain,(! [A:$i] : (((in @ sk26 @ sk24) != (in @ A @ emptyset)))),inference(simp,[status(thm)],[400])).
% 12.30/4.56 thf(409,plain,(! [A:$i] : ((sk26 != A) | (sk24 != emptyset))),inference(simp,[status(thm)],[401])).
% 12.30/4.56 thf(415,plain,((sk24 != emptyset)),inference(simp,[status(thm)],[409])).
% 12.30/4.56 thf(534,plain,(! [A:$i] : ((in @ (sk20 @ A) @ A) | (emptyset != emptyset) | (A != sk24))),inference(paramod_ordered,[status(thm)],[80,415])).
% 12.30/4.56 thf(535,plain,(! [A:$i] : ((in @ (sk20 @ A) @ A) | (A != sk24))),inference(simp,[status(thm)],[534])).
% 12.30/4.56 thf(536,plain,((in @ (sk20 @ sk24) @ sk24)),inference(pattern_uni,[status(thm)],[535:[bind(A, $thf(sk24))]])).
% 12.30/4.56 thf(35,plain,(! [B:$i,A:$i] : ((in @ (sk16 @ B @ A) @ A) | (~ (in @ (sk17 @ B @ A) @ A)) | (A = B))),inference(cnfConj,[status(thm)],[5])).
% 12.30/4.56 thf(81,plain,(! [B:$i,A:$i] : ((A = B) | (in @ (sk16 @ B @ A) @ A) | (~ (in @ (sk17 @ B @ A) @ A)))),inference(lifteq,[status(thm)],[35])).
% 12.30/4.56 thf(82,plain,(! [B:$i,A:$i] : ((A = B) | (in @ (sk16 @ B @ A) @ A) | (~ (in @ (sk17 @ B @ A) @ A)))),inference(simp,[status(thm)],[81])).
% 12.30/4.56 thf(445,plain,(! [A:$i] : ((in @ (sk20 @ A) @ A) | (emptyset != emptyset) | (A != (setadjoin @ emptyset @ emptyset)))),inference(paramod_ordered,[status(thm)],[80,198])).
% 12.30/4.56 thf(446,plain,(! [A:$i] : ((in @ (sk20 @ A) @ A) | (A != (setadjoin @ emptyset @ emptyset)))),inference(simp,[status(thm)],[445])).
% 12.30/4.56 thf(447,plain,((in @ (sk20 @ (setadjoin @ emptyset @ emptyset)) @ (setadjoin @ emptyset @ emptyset))),inference(pattern_uni,[status(thm)],[446:[bind(A, $thf(setadjoin @ emptyset @ emptyset))]])).
% 12.30/4.56 thf(430,plain,(! [A:$i] : ((in @ (sk20 @ A) @ A) | (emptyset != emptyset) | (A != sk23))),inference(paramod_ordered,[status(thm)],[80,196])).
% 12.30/4.56 thf(431,plain,(! [A:$i] : ((in @ (sk20 @ A) @ A) | (A != sk23))),inference(simp,[status(thm)],[430])).
% 12.30/4.56 thf(432,plain,((in @ (sk20 @ sk23) @ sk23)),inference(pattern_uni,[status(thm)],[431:[bind(A, $thf(sk23))]])).
% 12.30/4.56 thf(394,plain,(~ (($true)) | ((in @ sk26 @ sk24) != (in @ sk24 @ (powerset @ (setunion @ sk23))))),inference(paramod_ordered,[status(thm)],[331,69])).
% 12.30/4.56 thf(395,plain,(((in @ sk26 @ sk24) != (in @ sk24 @ (powerset @ (setunion @ sk23))))),inference(simp,[status(thm)],[394])).
% 12.30/4.56 thf(410,plain,((sk26 != sk24) | ((powerset @ (setunion @ sk23)) != sk24)),inference(simp,[status(thm)],[395])).
% 12.30/4.56 thf(185,plain,(! [B:$i,A:$i] : (~ (($true)) | ((in @ emptyset @ (powerset @ A)) != (in @ B @ emptyset)))),inference(paramod_ordered,[status(thm)],[117,90])).
% 12.30/4.56 thf(186,plain,(! [B:$i,A:$i] : (((in @ emptyset @ (powerset @ A)) != (in @ B @ emptyset)))),inference(simp,[status(thm)],[185])).
% 12.30/4.56 thf(192,plain,(! [B:$i,A:$i] : ((emptyset != B) | ((powerset @ A) != emptyset))),inference(simp,[status(thm)],[186])).
% 12.30/4.56 thf(195,plain,(! [A:$i] : (((powerset @ A) != emptyset))),inference(simp,[status(thm)],[192])).
% 12.30/4.56 thf(499,plain,(! [A:$i] : ((in @ (sk20 @ A) @ A) | (emptyset != emptyset) | (A != omega))),inference(paramod_ordered,[status(thm)],[80,197])).
% 12.30/4.56 thf(500,plain,(! [A:$i] : ((in @ (sk20 @ A) @ A) | (A != omega))),inference(simp,[status(thm)],[499])).
% 12.30/4.56 thf(501,plain,((in @ (sk20 @ omega) @ omega)),inference(pattern_uni,[status(thm)],[500:[bind(A, $thf(omega))]])).
% 12.30/4.56 thf(1419,plain,(($false)),inference(e,[status(thm)],[69,385,196,78,179,706,393,286,198,414,331,87,90,102,380,117,197,461,285,76,7,39,135,3,80,536,82,447,432,410,195,415,332,501])).
% 12.30/4.56 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.30/4.56 % [INFO] Killing All external provers ...
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