%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM584+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:21:29 AM UTC 2025
% Result : Theorem 0.19s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM584+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 01:30:50 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 % SZS output start Proof
% 0.19/0.42 tff(aElementOf0_type, type, (
% 0.19/0.42 aElementOf0: ( $i * $i ) > $o)).
% 0.19/0.42 tff(xS_type, type, (
% 0.19/0.42 xS: $i)).
% 0.19/0.42 tff(tptp_fun_W0_31_type, type, (
% 0.19/0.42 tptp_fun_W0_31: $i)).
% 0.19/0.42 tff(sdtpldt0_type, type, (
% 0.19/0.42 sdtpldt0: ( $i * $i ) > $i)).
% 0.19/0.42 tff(szmzizndt0_type, type, (
% 0.19/0.42 szmzizndt0: $i > $i)).
% 0.19/0.42 tff(sdtlpdtrp0_type, type, (
% 0.19/0.42 sdtlpdtrp0: ( $i * $i ) > $i)).
% 0.19/0.42 tff(xi_type, type, (
% 0.19/0.42 xi: $i)).
% 0.19/0.42 tff(xN_type, type, (
% 0.19/0.42 xN: $i)).
% 0.19/0.42 tff(xQ_type, type, (
% 0.19/0.42 xQ: $i)).
% 0.19/0.42 tff(aSubsetOf0_type, type, (
% 0.19/0.42 aSubsetOf0: ( $i * $i ) > $o)).
% 0.19/0.42 tff(aElement0_type, type, (
% 0.19/0.42 aElement0: $i > $o)).
% 0.19/0.42 tff(aSet0_type, type, (
% 0.19/0.42 aSet0: $i > $o)).
% 0.19/0.42 tff(sdtlseqdt0_type, type, (
% 0.19/0.42 sdtlseqdt0: ( $i * $i ) > $o)).
% 0.19/0.42 tff(xK_type, type, (
% 0.19/0.42 xK: $i)).
% 0.19/0.42 tff(sbrdtbr0_type, type, (
% 0.19/0.42 sbrdtbr0: $i > $i)).
% 0.19/0.42 tff(slbdtsldtrb0_type, type, (
% 0.19/0.42 slbdtsldtrb0: ( $i * $i ) > $i)).
% 0.19/0.42 tff(1,plain,
% 0.19/0.42 (aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) <=> aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(2,axiom,(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ![W0: $i] : (aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0) & (aElementOf0(W0, xQ) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xi))))))) & ![W0: $i] : (aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0, xS))) & aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__4024')).
% 0.19/0.42 tff(3,plain,
% 0.19/0.42 (aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)),
% 0.19/0.42 inference(and_elim,[status(thm)],[2])).
% 0.19/0.42 tff(4,plain,
% 0.19/0.42 (aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[3, 1])).
% 0.19/0.42 tff(5,plain,
% 0.19/0.42 ((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | (~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS)) | (~aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(6,plain,
% 0.19/0.42 (aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | (~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[5, 4])).
% 0.19/0.42 tff(7,plain,
% 0.19/0.42 ((sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK) <=> (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(8,axiom,((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ![W0: $i] : (aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0) & (aElementOf0(W0, xQ) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xi))))))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__4007')).
% 0.19/0.42 tff(9,plain,
% 0.19/0.42 (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK),
% 0.19/0.42 inference(and_elim,[status(thm)],[8])).
% 0.19/0.42 tff(10,plain,
% 0.19/0.42 (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[9, 7])).
% 0.19/0.42 tff(11,plain,
% 0.19/0.42 (((~(aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | (~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS))) | (~(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))) <=> ((~(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)) | (~(aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | (~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(12,plain,
% 0.19/0.42 (((~aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & (~((~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS)))) <=> (~(aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | (~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(13,plain,
% 0.19/0.42 ((((~aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & (~((~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS)))) | (~(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))) <=> ((~(aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | (~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS))) | (~(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[12])).
% 0.19/0.42 tff(14,plain,
% 0.19/0.42 ((((~aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & (~((~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS)))) | (~(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))) <=> ((~(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)) | (~(aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | (~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS))))),
% 0.19/0.42 inference(transitivity,[status(thm)],[13, 11])).
% 0.19/0.42 tff(15,plain,
% 0.19/0.42 ((((~aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & (~((~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS)))) | (~(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))) <=> (((~aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & (~((~aElementOf0(W0!31, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0!31, xS)))) | (~(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(16,plain,
% 0.19/0.42 ((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) <=> (aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(17,plain,
% 0.19/0.42 (((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)) <=> ((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[16])).
% 0.19/0.42 tff(18,plain,
% 0.19/0.42 ((~((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))) <=> (~((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[17])).
% 0.19/0.42 tff(19,plain,
% 0.19/0.42 ((~((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))) <=> (~((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(20,plain,
% 0.19/0.42 ((~((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0))) => ((aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ![W0: $i] : (aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0) & (aElementOf0(W0, xQ) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xi))))))) => (((![W0: $i] : (aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0, xS)) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)) | aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK)))))) <=> (~(aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK)) | ((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)) | (~(aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ![W0: $i] : (aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0) & (aElementOf0(W0, xQ) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xi)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xi))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(21,axiom,(~((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ![W0: $i] : (aElementOf0(W0, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0))) => ((aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ![W0: $i] : (aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0) & (aElementOf0(W0, xQ) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xi))))))) => (((![W0: $i] : (aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0, xS)) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)) | aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m__')).
% 0.19/0.42 tff(22,plain,
% 0.19/0.42 (~(aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK)) | ((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK)) | (~(aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ![W0: $i] : (aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0) & (aElementOf0(W0, xQ) | (W0 = szmzizndt0(sdtlpdtrp0(xN, xi)))))))) | (~(aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ![W0: $i] : ((~aElementOf0(W0, sdtlpdtrp0(xN, xi))) | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0)))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.19/0.42 tff(23,plain,
% 0.19/0.42 (~((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))),
% 0.19/0.42 inference(or_elim,[status(thm)],[22])).
% 0.19/0.42 tff(24,plain,
% 0.19/0.42 (~((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[23, 18])).
% 0.19/0.42 tff(25,plain,
% 0.19/0.42 (~((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[24, 19])).
% 0.19/0.42 tff(26,plain,
% 0.19/0.42 (~((aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS) | ![W0: $i] : ((~aElementOf0(W0, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) | aElementOf0(W0, xS))) & (sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) = xK))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.19/0.43 unexpected number of arguments: (let ((a!1 (aSubsetOf0 (sdtpldt0 xQ (szmzizndt0 (sdtlpdtrp0 xN xi))) xS))
% 0.19/0.43 (a!2 (forall ((W0 $i))
% 0.19/0.43 (let ((a!1 (aElementOf0 W0
% 0.19/0.43 (sdtpldt0 xQ
% 0.19/0.43 (szmzizndt0 (sdtlpdtrp0 xN xi))))))
% 0.19/0.43 (or (not a!1) (aElementOf0 W0 xS)))))
% 0.19/0.43 (a!3 (aElementOf0 W0!31 (sdtpldt0 xQ (szmzizndt0 (sdtlpdtrp0 xN xi)))))
% 0.19/0.43 (a!7 (sbrdtbr0 (sdtpldt0 xQ (szmzizndt0 (sdtlpdtrp0 xN xi))))))
% 0.19/0.43 (let ((a!4 (~ (not a!2) (not (or (not a!3) (aElementOf0 W0!31 xS)))))
% 0.19/0.43 (a!5 (and (not a!1) (not (or (not a!3) (aElementOf0 W0!31 xS)))))
% 0.19/0.43 (a!8 (refl (~ (not (= a!7 xK)) (not (= a!7 xK))))))
% 0.19/0.43 (let ((a!6 (nnf-neg (refl (~ (not a!1) (not a!1)))
% 0.19/0.43 (sk a!4)
% 0.19/0.43 (~ (not (or a!1 a!2)) a!5)))
% 0.19/0.43 (a!9 (~ (not (and (or a!1 a!2) (= a!7 xK))) (or a!5 (not (= a!7 xK))))))
% 0.19/0.43 (nnf-neg a!6 a!8 a!9))))
% 0.19/0.43 Proof display could not be completed: unexpected number of arguments
% 0.19/0.44 % E exiting
%------------------------------------------------------------------------------