%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM465+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:21:04 AM UTC 2025
% Result : Theorem 0.23s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM465+2 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 20 01:17:19 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.23/0.42 % SZS status Theorem
% 0.23/0.42 % SZS output start Proof
% 0.23/0.42 tff(sdtasdt0_type, type, (
% 0.23/0.42 sdtasdt0: ( $i * $i ) > $i)).
% 0.23/0.42 tff(xm_type, type, (
% 0.23/0.42 xm: $i)).
% 0.23/0.42 tff(xn_type, type, (
% 0.23/0.42 xn: $i)).
% 0.23/0.42 tff(sdtpldt0_type, type, (
% 0.23/0.42 sdtpldt0: ( $i * $i ) > $i)).
% 0.23/0.42 tff(tptp_fun_W0_1_type, type, (
% 0.23/0.42 tptp_fun_W0_1: $i)).
% 0.23/0.42 tff(aNaturalNumber0_type, type, (
% 0.23/0.42 aNaturalNumber0: $i > $o)).
% 0.23/0.42 tff(sz10_type, type, (
% 0.23/0.42 sz10: $i)).
% 0.23/0.42 tff(sdtlseqdt0_type, type, (
% 0.23/0.42 sdtlseqdt0: ( $i * $i ) > $o)).
% 0.23/0.42 tff(sz00_type, type, (
% 0.23/0.42 sz00: $i)).
% 0.23/0.42 tff(1,plain,
% 0.23/0.42 (aNaturalNumber0(xn) <=> aNaturalNumber0(xn)),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(2,axiom,(aNaturalNumber0(xm) & aNaturalNumber0(xn)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m__987')).
% 0.23/0.42 tff(3,plain,
% 0.23/0.42 (aNaturalNumber0(xn)),
% 0.23/0.42 inference(and_elim,[status(thm)],[2])).
% 0.23/0.42 tff(4,plain,
% 0.23/0.42 (aNaturalNumber0(xn)),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[3, 1])).
% 0.23/0.42 tff(5,plain,
% 0.23/0.42 (aNaturalNumber0(xm) <=> aNaturalNumber0(xm)),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(6,plain,
% 0.23/0.42 (aNaturalNumber0(xm)),
% 0.23/0.42 inference(and_elim,[status(thm)],[2])).
% 0.23/0.42 tff(7,plain,
% 0.23/0.42 (aNaturalNumber0(xm)),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.23/0.42 tff(8,plain,
% 0.23/0.42 (^[W0: $i, W1: $i] : refl(((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0))) <=> ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0))))),
% 0.23/0.42 inference(bind,[status(th)],[])).
% 0.23/0.42 tff(9,plain,
% 0.23/0.42 (![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0))) <=> ![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))),
% 0.23/0.42 inference(quant_intro,[status(thm)],[8])).
% 0.23/0.42 tff(10,plain,
% 0.23/0.42 (^[W0: $i, W1: $i] : trans(monotonicity(trans(monotonicity(rewrite((aNaturalNumber0(W0) & aNaturalNumber0(W1)) <=> (~((~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0))))), ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) <=> (~(~((~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0))))))), rewrite((~(~((~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0))))) <=> ((~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))), ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) <=> ((~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0))))), (((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0))) <=> (((~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0))))), rewrite((((~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0))) <=> ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))), (((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0))) <=> ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))))),
% 0.23/0.42 inference(bind,[status(th)],[])).
% 0.23/0.42 tff(11,plain,
% 0.23/0.42 (![W0: $i, W1: $i] : ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0))) <=> ![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))),
% 0.23/0.42 inference(quant_intro,[status(thm)],[10])).
% 0.23/0.42 tff(12,plain,
% 0.23/0.42 (![W0: $i, W1: $i] : ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0))) <=> ![W0: $i, W1: $i] : ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0)))),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(13,plain,
% 0.23/0.42 (^[W0: $i, W1: $i] : rewrite(((aNaturalNumber0(W0) & aNaturalNumber0(W1)) => (sdtasdt0(W0, W1) = sdtasdt0(W1, W0))) <=> ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0))))),
% 0.23/0.42 inference(bind,[status(th)],[])).
% 0.23/0.42 tff(14,plain,
% 0.23/0.42 (![W0: $i, W1: $i] : ((aNaturalNumber0(W0) & aNaturalNumber0(W1)) => (sdtasdt0(W0, W1) = sdtasdt0(W1, W0))) <=> ![W0: $i, W1: $i] : ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0)))),
% 0.23/0.42 inference(quant_intro,[status(thm)],[13])).
% 0.23/0.42 tff(15,axiom,(![W0: $i, W1: $i] : ((aNaturalNumber0(W0) & aNaturalNumber0(W1)) => (sdtasdt0(W0, W1) = sdtasdt0(W1, W0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mMulComm')).
% 0.23/0.42 tff(16,plain,
% 0.23/0.42 (![W0: $i, W1: $i] : ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0)))),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.23/0.42 tff(17,plain,
% 0.23/0.42 (![W0: $i, W1: $i] : ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0)))),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.23/0.42 tff(18,plain,(
% 0.23/0.42 ![W0: $i, W1: $i] : ((~(aNaturalNumber0(W0) & aNaturalNumber0(W1))) | (sdtasdt0(W0, W1) = sdtasdt0(W1, W0)))),
% 0.23/0.42 inference(skolemize,[status(sab)],[17])).
% 0.23/0.42 tff(19,plain,
% 0.23/0.42 (![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.23/0.42 tff(20,plain,
% 0.23/0.42 (![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.23/0.42 tff(21,plain,
% 0.23/0.42 (((~![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))) | ((~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm)) | (sdtasdt0(xm, xn) = sdtasdt0(xn, xm)))) <=> ((~![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))) | (~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm)) | (sdtasdt0(xm, xn) = sdtasdt0(xn, xm)))),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(22,plain,
% 0.23/0.42 (((sdtasdt0(xm, xn) = sdtasdt0(xn, xm)) | (~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm))) <=> ((~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm)) | (sdtasdt0(xm, xn) = sdtasdt0(xn, xm)))),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(23,plain,
% 0.23/0.42 (((~![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))) | ((sdtasdt0(xm, xn) = sdtasdt0(xn, xm)) | (~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm)))) <=> ((~![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))) | ((~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm)) | (sdtasdt0(xm, xn) = sdtasdt0(xn, xm))))),
% 0.23/0.42 inference(monotonicity,[status(thm)],[22])).
% 0.23/0.42 tff(24,plain,
% 0.23/0.42 (((~![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))) | ((sdtasdt0(xm, xn) = sdtasdt0(xn, xm)) | (~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm)))) <=> ((~![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))) | (~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm)) | (sdtasdt0(xm, xn) = sdtasdt0(xn, xm)))),
% 0.23/0.42 inference(transitivity,[status(thm)],[23, 21])).
% 0.23/0.42 tff(25,plain,
% 0.23/0.42 ((~![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))) | ((sdtasdt0(xm, xn) = sdtasdt0(xn, xm)) | (~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm)))),
% 0.23/0.42 inference(quant_inst,[status(thm)],[])).
% 0.23/0.42 tff(26,plain,
% 0.23/0.42 ((~![W0: $i, W1: $i] : ((sdtasdt0(W0, W1) = sdtasdt0(W1, W0)) | (~aNaturalNumber0(W1)) | (~aNaturalNumber0(W0)))) | (~aNaturalNumber0(xn)) | (~aNaturalNumber0(xm)) | (sdtasdt0(xm, xn) = sdtasdt0(xn, xm))),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.23/0.42 tff(27,plain,
% 0.23/0.42 (sdtasdt0(xm, xn) = sdtasdt0(xn, xm)),
% 0.23/0.42 inference(unit_resolution,[status(thm)],[26, 20, 7, 4])).
% 0.23/0.42 tff(28,plain,
% 0.23/0.42 ((~(xm = sz00)) <=> (~(xm = sz00))),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(29,plain,
% 0.23/0.42 ((~((~(xm = sz00)) => (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(xn, W0) = sdtasdt0(xn, xm))) | sdtlseqdt0(xn, sdtasdt0(xn, xm))))) <=> (~((xm = sz00) | sdtlseqdt0(xn, sdtasdt0(xn, xm)) | ?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(xn, W0) = sdtasdt0(xn, xm)))))),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(30,axiom,(~((~(xm = sz00)) => (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(xn, W0) = sdtasdt0(xn, xm))) | sdtlseqdt0(xn, sdtasdt0(xn, xm))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m__')).
% 0.23/0.42 tff(31,plain,
% 0.23/0.42 (~((xm = sz00) | sdtlseqdt0(xn, sdtasdt0(xn, xm)) | ?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(xn, W0) = sdtasdt0(xn, xm))))),
% 0.23/0.43 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.23/0.43 tff(32,plain,
% 0.23/0.43 (~(xm = sz00)),
% 0.23/0.43 inference(or_elim,[status(thm)],[31])).
% 0.23/0.43 tff(33,plain,
% 0.23/0.43 (~(xm = sz00)),
% 0.23/0.43 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.23/0.43 tff(34,plain,
% 0.23/0.43 (((xm = sz00) | (~((~aNaturalNumber0(W0!1)) | (~(sdtpldt0(sz10, W0!1) = xm)) | (~sdtlseqdt0(sz10, xm))))) <=> ((xm = sz00) | (~((~aNaturalNumber0(W0!1)) | (~(sdtpldt0(sz10, W0!1) = xm)) | (~sdtlseqdt0(sz10, xm)))))),
% 0.23/0.43 inference(rewrite,[status(thm)],[])).
% 0.23/0.43 tff(35,plain,
% 0.23/0.43 ((aNaturalNumber0(W0!1) & (sdtpldt0(sz10, W0!1) = xm) & sdtlseqdt0(sz10, xm)) <=> (~((~aNaturalNumber0(W0!1)) | (~(sdtpldt0(sz10, W0!1) = xm)) | (~sdtlseqdt0(sz10, xm))))),
% 0.23/0.43 inference(rewrite,[status(thm)],[])).
% 0.23/0.43 tff(36,plain,
% 0.23/0.43 (((xm = sz00) | (aNaturalNumber0(W0!1) & (sdtpldt0(sz10, W0!1) = xm) & sdtlseqdt0(sz10, xm))) <=> ((xm = sz00) | (~((~aNaturalNumber0(W0!1)) | (~(sdtpldt0(sz10, W0!1) = xm)) | (~sdtlseqdt0(sz10, xm)))))),
% 0.23/0.43 inference(monotonicity,[status(thm)],[35])).
% 0.23/0.43 tff(37,plain,
% 0.23/0.43 (((xm = sz00) | (aNaturalNumber0(W0!1) & (sdtpldt0(sz10, W0!1) = xm) & sdtlseqdt0(sz10, xm))) <=> ((xm = sz00) | (~((~aNaturalNumber0(W0!1)) | (~(sdtpldt0(sz10, W0!1) = xm)) | (~sdtlseqdt0(sz10, xm)))))),
% 0.23/0.43 inference(transitivity,[status(thm)],[36, 34])).
% 0.23/0.43 tff(38,plain,
% 0.23/0.43 (((xm = sz00) | ((aNaturalNumber0(W0!1) & (sdtpldt0(sz10, W0!1) = xm)) & sdtlseqdt0(sz10, xm))) <=> ((xm = sz00) | (aNaturalNumber0(W0!1) & (sdtpldt0(sz10, W0!1) = xm) & sdtlseqdt0(sz10, xm)))),
% 0.23/0.43 inference(rewrite,[status(thm)],[])).
% 0.23/0.43 tff(39,plain,
% 0.23/0.43 ((?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm)) <=> (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))),
% 0.23/0.43 inference(rewrite,[status(thm)],[])).
% 0.23/0.43 tff(40,plain,
% 0.23/0.43 (((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))) <=> ((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm)))),
% 0.23/0.43 inference(monotonicity,[status(thm)],[39])).
% 0.23/0.43 tff(41,plain,
% 0.23/0.43 (((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))) <=> ((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm)))),
% 0.23/0.43 inference(rewrite,[status(thm)],[])).
% 0.23/0.43 tff(42,plain,
% 0.23/0.43 (((~(xm = sz00)) => (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))) <=> ((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm)))),
% 0.23/0.43 inference(rewrite,[status(thm)],[])).
% 0.23/0.43 tff(43,plain,
% 0.23/0.43 (((~(xm = sz00)) => (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))) <=> ((~(xm = sz00)) => (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm)))),
% 0.23/0.43 inference(monotonicity,[status(thm)],[39])).
% 0.23/0.43 tff(44,plain,
% 0.23/0.43 (((~(xm = sz00)) => (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))) <=> ((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm)))),
% 0.23/0.43 inference(transitivity,[status(thm)],[43, 42])).
% 0.23/0.43 tff(45,axiom,((~(xm = sz00)) => (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m__1007')).
% 0.23/0.43 tff(46,plain,
% 0.23/0.43 ((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))),
% 0.23/0.43 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.23/0.43 tff(47,plain,
% 0.23/0.43 ((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))),
% 0.23/0.43 inference(modus_ponens,[status(thm)],[46, 40])).
% 0.23/0.43 tff(48,plain,
% 0.23/0.43 ((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))),
% 0.23/0.43 inference(modus_ponens,[status(thm)],[47, 41])).
% 0.23/0.43 tff(49,plain,
% 0.23/0.43 ((xm = sz00) | (?[W0: $i] : (aNaturalNumber0(W0) & (sdtpldt0(sz10, W0) = xm)) & sdtlseqdt0(sz10, xm))),
% 0.23/0.43 inference(modus_ponens,[status(thm)],[48, 40])).
% 0.23/0.43 Proof display could not be completed: monotonicity rule is not handled
% 0.23/0.43 % E exiting
%------------------------------------------------------------------------------