TSTP Solution File: SYO665-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO665-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n019.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 : Tue Aug 22 11:18:19 EDT 2023
% Result : Unsatisfiable 166.75s 151.85s
% Output : CNFRefutation 166.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYO665-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 15:48:16 EDT 2023
% 0.14/0.36 % CPUTime :
% 166.75/151.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 166.75/151.86
% 166.75/151.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 166.75/151.88 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 166.75/151.88
% 166.75/151.88 %Foreground sorts:
% 166.75/151.88
% 166.75/151.88
% 166.75/151.88 %Background operators:
% 166.75/151.88
% 166.75/151.88
% 166.75/151.88 %Foreground operators:
% 166.75/151.88 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 166.75/151.88 tff(s, type, s: $i > $i).
% 166.75/151.88 tff(f, type, f: $i > $i).
% 166.75/151.88 tff(0, type, 0: $i).
% 166.75/151.88 tff(LE, type, LE: ($i * $i) > $o).
% 166.75/151.88 tff(suc, type, suc: $i > $i).
% 166.75/151.88 tff(z, type, z: $i).
% 166.75/151.88 tff(E, type, E: ($i * $i) > $o).
% 166.75/151.88
% 166.75/151.91 tff(f_2460, axiom, (![A]: LE(f(A), s(s(0)))), file('unknown', unknown)).
% 166.75/151.91 tff(f_1646, axiom, (![B_42]: ((~LE(f(B_42), s(s(0))) | E(s(0), f(B_42))) | LE(f(B_42), s(0)))), file('unknown', unknown)).
% 166.75/151.91 tff(f_2098, axiom, (![B_60]: ((~LE(f(B_60), s(0)) | E(0, f(B_60))) | LE(f(B_60), 0))), file('unknown', unknown)).
% 166.75/151.91 tff(f_1717, axiom, (![B_42]: ((~LE(f(suc(B_42)), s(s(0))) | E(s(0), f(suc(B_42)))) | LE(f(B_42), s(0)))), file('unknown', unknown)).
% 166.75/151.91 tff(f_678, axiom, (![B_42]: ((~LE(f(suc(suc(B_42))), s(s(0))) | E(s(0), f(suc(suc(B_42))))) | LE(f(B_42), s(0)))), file('unknown', unknown)).
% 166.75/151.91 tff(f_2594, axiom, (![A_1]: (((~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1)))) | E(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 166.75/151.91 tff(f_615, axiom, (![A_1]: ((((~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(0), f(A_1))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 166.75/151.91 tff(f_409, axiom, (![A_1, B_43, B_45, B_46, B_44]: ((((((((((((((((((~E(s(0), f(suc(B_45))) | ~E(s(0), f(B_45))) | ~E(s(0), f(suc(B_46)))) | ~E(s(0), f(suc(B_43)))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(A_1)))) | ~iLEQ(suc(A_1), suc(B_43))) | ~E(s(0), f(B_43))) | ~iLEQ(suc(B_44), suc(B_45))) | ~E(s(0), f(B_46))) | ~E(s(0), f(B_44))) | ~iLEQ(suc(B_45), suc(B_46))) | ~iLEQ(suc(B_43), suc(B_44))) | ~E(s(0), f(suc(B_44)))) | E(f(B_44), f(suc(B_44)))) | E(f(B_46), f(suc(B_46)))) | E(f(B_43), f(suc(B_43)))) | E(f(A_1), f(suc(A_1)))) | E(f(B_45), f(suc(B_45))))), file('unknown', unknown)).
% 166.75/151.91 tff(f_2726, axiom, (![A_1, B_43, B_45, B_46, B_44]: (((((((((((((((((((((((~E(s(0), f(suc(B_45))) | ~E(s(0), f(B_45))) | ~E(s(0), f(suc(B_46)))) | ~E(s(0), f(suc(suc(A_1))))) | ~E(s(0), f(suc(B_43)))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(A_1)))) | ~iLEQ(suc(A_1), suc(B_43))) | ~E(f(B_44), f(suc(B_44)))) | ~E(f(B_46), f(suc(B_46)))) | ~E(f(B_43), f(suc(B_43)))) | ~E(s(0), f(B_43))) | ~iLEQ(suc(B_44), suc(B_45))) | ~E(s(0), f(B_46))) | ~E(s(0), f(B_44))) | ~E(s(0), f(suc(suc(B_46))))) | ~E(s(0), f(suc(suc(B_45))))) | ~E(s(0), f(suc(suc(B_44))))) | ~E(s(0), f(suc(suc(B_43))))) | ~E(f(A_1), f(suc(A_1)))) | ~iLEQ(suc(B_45), suc(B_46))) | ~iLEQ(suc(B_43), suc(B_44))) | ~E(f(B_45), f(suc(B_45)))) | ~E(s(0), f(suc(B_44))))), file('unknown', unknown)).
% 166.75/151.91 tff(f_25, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 166.75/151.91 tff(f_745, axiom, (![B_60]: ((~LE(f(suc(B_60)), s(0)) | E(0, f(suc(B_60)))) | LE(f(B_60), 0))), file('unknown', unknown)).
% 166.75/151.91 tff(f_3789, axiom, (![B_60]: ((~LE(f(suc(suc(B_60))), s(0)) | E(0, f(suc(suc(B_60))))) | LE(f(B_60), 0))), file('unknown', unknown)).
% 166.75/151.91 tff(f_1727, axiom, (![A_2]: (((~E(0, f(A_2)) | ~E(0, f(suc(A_2)))) | E(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 166.75/151.91 tff(f_759, axiom, (![A_2]: ((((~E(0, f(suc(suc(A_2)))) | ~E(0, f(suc(A_2)))) | ~E(f(A_2), f(suc(A_2)))) | ~E(0, f(A_2))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 166.75/151.91 tff(f_1195, axiom, (![B_63, B_64, B_62, B_61, A_2]: ((((((((((((((((((~E(0, f(B_63)) | ~E(0, f(suc(B_61)))) | ~E(0, f(suc(A_2)))) | ~iLEQ(suc(A_2), suc(B_61))) | ~iLEQ(suc(B_61), suc(B_62))) | ~E(0, f(suc(B_63)))) | ~E(0, f(A_2))) | ~iLEQ(suc(B_62), suc(B_63))) | ~E(0, f(B_64))) | ~iLEQ(suc(B_63), suc(B_64))) | ~E(0, f(suc(B_62)))) | ~E(0, f(B_61))) | ~E(0, f(suc(B_64)))) | ~E(0, f(B_62))) | E(f(B_62), f(suc(B_62)))) | E(f(B_64), f(suc(B_64)))) | E(f(B_63), f(suc(B_63)))) | E(f(A_2), f(suc(A_2)))) | E(f(B_61), f(suc(B_61))))), file('unknown', unknown)).
% 166.75/151.91 tff(f_1079, axiom, (![B_63, B_64, B_62, B_61, A_2]: (((((((((((((((((((((((~E(0, f(B_63)) | ~E(0, f(suc(B_61)))) | ~E(0, f(suc(A_2)))) | ~E(0, f(suc(suc(A_2))))) | ~iLEQ(suc(A_2), suc(B_61))) | ~iLEQ(suc(B_61), suc(B_62))) | ~E(0, f(suc(B_63)))) | ~E(0, f(A_2))) | ~iLEQ(suc(B_62), suc(B_63))) | ~E(0, f(B_64))) | ~iLEQ(suc(B_63), suc(B_64))) | ~E(0, f(suc(B_62)))) | ~E(0, f(suc(suc(B_63))))) | ~E(f(B_62), f(suc(B_62)))) | ~E(0, f(B_61))) | ~E(0, f(suc(suc(B_62))))) | ~E(0, f(suc(B_64)))) | ~E(0, f(suc(suc(B_64))))) | ~E(0, f(B_62))) | ~E(f(B_64), f(suc(B_64)))) | ~E(f(B_63), f(suc(B_63)))) | ~E(f(A_2), f(suc(A_2)))) | ~E(0, f(suc(suc(B_61))))) | ~E(f(B_61), f(suc(B_61))))), file('unknown', unknown)).
% 166.75/151.91 tff(c_96, plain, (![A_199]: (LE(f(A_199), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_2460])).
% 166.75/151.91 tff(c_62, plain, (![B_42_130]: (LE(f(B_42_130), s(0)) | E(s(0), f(B_42_130)) | ~LE(f(B_42_130), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_1646])).
% 166.75/151.91 tff(c_156, plain, (![B_42_130]: (LE(f(B_42_130), s(0)) | E(s(0), f(B_42_130)))), inference(demodulation, [status(thm), theory('equality')], [c_96, c_62])).
% 166.75/151.91 tff(c_163, plain, (![B_60_336]: (LE(f(B_60_336), 0) | E(0, f(B_60_336)) | ~LE(f(B_60_336), s(0)))), inference(cnfTransformation, [status(thm)], [f_2098])).
% 166.75/151.91 tff(c_167, plain, (![B_42_130]: (LE(f(B_42_130), 0) | E(0, f(B_42_130)) | E(s(0), f(B_42_130)))), inference(resolution, [status(thm)], [c_156, c_163])).
% 166.75/151.91 tff(c_66, plain, (![B_42_136]: (LE(f(B_42_136), s(0)) | E(s(0), f(suc(B_42_136))) | ~LE(f(suc(B_42_136)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_1717])).
% 166.75/151.91 tff(c_154, plain, (![B_42_136]: (LE(f(B_42_136), s(0)) | E(s(0), f(suc(B_42_136))))), inference(demodulation, [status(thm), theory('equality')], [c_96, c_66])).
% 166.75/151.91 tff(c_26, plain, (![B_42_52]: (LE(f(B_42_52), s(0)) | E(s(0), f(suc(suc(B_42_52)))) | ~LE(f(suc(suc(B_42_52))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_678])).
% 166.75/151.91 tff(c_158, plain, (![B_42_52]: (LE(f(B_42_52), s(0)) | E(s(0), f(suc(suc(B_42_52)))))), inference(demodulation, [status(thm), theory('equality')], [c_96, c_26])).
% 166.75/151.91 tff(c_182, plain, (![A_1_343]: (iLEQ(suc(A_1_343), suc(A_1_343)) | E(f(A_1_343), f(suc(A_1_343))) | ~E(s(0), f(suc(A_1_343))) | ~E(s(0), f(A_1_343)))), inference(cnfTransformation, [status(thm)], [f_2594])).
% 166.75/151.91 tff(c_198, plain, (![B_42_136]: (iLEQ(suc(B_42_136), suc(B_42_136)) | E(f(B_42_136), f(suc(B_42_136))) | ~E(s(0), f(B_42_136)) | LE(f(B_42_136), s(0)))), inference(resolution, [status(thm)], [c_154, c_182])).
% 166.75/151.91 tff(c_217, plain, (![A_1_350]: (iLEQ(suc(A_1_350), suc(A_1_350)) | ~E(s(0), f(A_1_350)) | ~E(f(A_1_350), f(suc(A_1_350))) | ~E(s(0), f(suc(A_1_350))) | ~E(s(0), f(suc(suc(A_1_350)))))), inference(cnfTransformation, [status(thm)], [f_615])).
% 166.75/151.91 tff(c_233, plain, (![B_42_351]: (~E(s(0), f(suc(B_42_351))) | ~E(s(0), f(suc(suc(B_42_351)))) | iLEQ(suc(B_42_351), suc(B_42_351)) | ~E(s(0), f(B_42_351)) | LE(f(B_42_351), s(0)))), inference(resolution, [status(thm)], [c_198, c_217])).
% 166.75/151.91 tff(c_252, plain, (![B_42_352]: (~E(s(0), f(suc(B_42_352))) | iLEQ(suc(B_42_352), suc(B_42_352)) | ~E(s(0), f(B_42_352)) | LE(f(B_42_352), s(0)))), inference(resolution, [status(thm)], [c_158, c_233])).
% 166.75/151.91 tff(c_268, plain, (![B_42_136]: (iLEQ(suc(B_42_136), suc(B_42_136)) | ~E(s(0), f(B_42_136)) | LE(f(B_42_136), s(0)))), inference(resolution, [status(thm)], [c_154, c_252])).
% 166.75/151.91 tff(c_505, plain, (![A_1_399, B_43_398, B_46_400, B_44_397, B_45_396]: (E(f(B_45_396), f(suc(B_45_396))) | E(f(A_1_399), f(suc(A_1_399))) | E(f(B_43_398), f(suc(B_43_398))) | E(f(B_46_400), f(suc(B_46_400))) | E(f(B_44_397), f(suc(B_44_397))) | ~E(s(0), f(suc(B_44_397))) | ~iLEQ(suc(B_43_398), suc(B_44_397)) | ~iLEQ(suc(B_45_396), suc(B_46_400)) | ~E(s(0), f(B_44_397)) | ~E(s(0), f(B_46_400)) | ~iLEQ(suc(B_44_397), suc(B_45_396)) | ~E(s(0), f(B_43_398)) | ~iLEQ(suc(A_1_399), suc(B_43_398)) | ~E(s(0), f(suc(A_1_399))) | ~E(s(0), f(A_1_399)) | ~E(s(0), f(suc(B_43_398))) | ~E(s(0), f(suc(B_46_400))) | ~E(s(0), f(B_45_396)) | ~E(s(0), f(suc(B_45_396))))), inference(cnfTransformation, [status(thm)], [f_409])).
% 166.75/151.91 tff(c_1837, plain, (![B_42_593, B_43_596, A_1_592, B_45_594, B_46_595]: (E(f(B_45_594), f(suc(B_45_594))) | E(f(A_1_592), f(suc(A_1_592))) | E(f(B_43_596), f(suc(B_43_596))) | E(f(B_46_595), f(suc(B_46_595))) | E(f(B_42_593), f(suc(B_42_593))) | ~iLEQ(suc(B_43_596), suc(B_42_593)) | ~iLEQ(suc(B_45_594), suc(B_46_595)) | ~E(s(0), f(B_42_593)) | ~E(s(0), f(B_46_595)) | ~iLEQ(suc(B_42_593), suc(B_45_594)) | ~E(s(0), f(B_43_596)) | ~iLEQ(suc(A_1_592), suc(B_43_596)) | ~E(s(0), f(suc(A_1_592))) | ~E(s(0), f(A_1_592)) | ~E(s(0), f(suc(B_43_596))) | ~E(s(0), f(suc(B_46_595))) | ~E(s(0), f(B_45_594)) | ~E(s(0), f(suc(B_45_594))) | LE(f(B_42_593), s(0)))), inference(resolution, [status(thm)], [c_154, c_505])).
% 166.75/151.91 tff(c_1877, plain, (![B_45_597, A_1_598, B_46_599, B_42_600]: (E(f(B_45_597), f(suc(B_45_597))) | E(f(A_1_598), f(suc(A_1_598))) | E(f(B_46_599), f(suc(B_46_599))) | E(f(B_42_600), f(suc(B_42_600))) | ~iLEQ(suc(B_45_597), suc(B_46_599)) | ~E(s(0), f(B_46_599)) | ~iLEQ(suc(B_42_600), suc(B_45_597)) | ~iLEQ(suc(A_1_598), suc(B_42_600)) | ~E(s(0), f(suc(A_1_598))) | ~E(s(0), f(A_1_598)) | ~E(s(0), f(suc(B_42_600))) | ~E(s(0), f(suc(B_46_599))) | ~E(s(0), f(B_45_597)) | ~E(s(0), f(suc(B_45_597))) | ~E(s(0), f(B_42_600)) | LE(f(B_42_600), s(0)))), inference(resolution, [status(thm)], [c_268, c_1837])).
% 166.75/151.91 tff(c_1939, plain, (![A_1_606, B_42_607, B_42_608]: (E(f(A_1_606), f(suc(A_1_606))) | E(f(B_42_607), f(suc(B_42_607))) | E(f(B_42_608), f(suc(B_42_608))) | ~iLEQ(suc(B_42_608), suc(B_42_607)) | ~iLEQ(suc(A_1_606), suc(B_42_608)) | ~E(s(0), f(suc(A_1_606))) | ~E(s(0), f(A_1_606)) | ~E(s(0), f(suc(B_42_608))) | ~E(s(0), f(suc(B_42_607))) | ~E(s(0), f(B_42_608)) | LE(f(B_42_608), s(0)) | ~E(s(0), f(B_42_607)) | LE(f(B_42_607), s(0)))), inference(resolution, [status(thm)], [c_268, c_1877])).
% 166.75/151.91 tff(c_1979, plain, (![A_1_609, B_42_610]: (E(f(A_1_609), f(suc(A_1_609))) | E(f(B_42_610), f(suc(B_42_610))) | ~iLEQ(suc(A_1_609), suc(B_42_610)) | ~E(s(0), f(suc(A_1_609))) | ~E(s(0), f(A_1_609)) | ~E(s(0), f(suc(B_42_610))) | ~E(s(0), f(B_42_610)) | LE(f(B_42_610), s(0)))), inference(resolution, [status(thm)], [c_268, c_1939])).
% 166.75/151.91 tff(c_2019, plain, (![B_42_611]: (E(f(B_42_611), f(suc(B_42_611))) | ~E(s(0), f(suc(B_42_611))) | ~E(s(0), f(B_42_611)) | LE(f(B_42_611), s(0)))), inference(resolution, [status(thm)], [c_268, c_1979])).
% 166.75/151.91 tff(c_2035, plain, (![B_42_136]: (E(f(B_42_136), f(suc(B_42_136))) | ~E(s(0), f(B_42_136)) | LE(f(B_42_136), s(0)))), inference(resolution, [status(thm)], [c_154, c_2019])).
% 166.75/151.91 tff(c_4314, plain, (![A_1_902, B_45_901, B_46_899, B_43_903, B_44_900]: (~E(s(0), f(suc(B_44_900))) | ~E(f(B_45_901), f(suc(B_45_901))) | ~iLEQ(suc(B_43_903), suc(B_44_900)) | ~iLEQ(suc(B_45_901), suc(B_46_899)) | ~E(f(A_1_902), f(suc(A_1_902))) | ~E(s(0), f(suc(suc(B_43_903)))) | ~E(s(0), f(suc(suc(B_44_900)))) | ~E(s(0), f(suc(suc(B_45_901)))) | ~E(s(0), f(suc(suc(B_46_899)))) | ~E(s(0), f(B_44_900)) | ~E(s(0), f(B_46_899)) | ~iLEQ(suc(B_44_900), suc(B_45_901)) | ~E(s(0), f(B_43_903)) | ~E(f(B_43_903), f(suc(B_43_903))) | ~E(f(B_46_899), f(suc(B_46_899))) | ~E(f(B_44_900), f(suc(B_44_900))) | ~iLEQ(suc(A_1_902), suc(B_43_903)) | ~E(s(0), f(suc(A_1_902))) | ~E(s(0), f(A_1_902)) | ~E(s(0), f(suc(B_43_903))) | ~E(s(0), f(suc(suc(A_1_902)))) | ~E(s(0), f(suc(B_46_899))) | ~E(s(0), f(B_45_901)) | ~E(s(0), f(suc(B_45_901))))), inference(cnfTransformation, [status(thm)], [f_2726])).
% 166.75/151.91 tff(c_31708, plain, (![B_43_3719, B_46_3717, A_1_3718, B_44_3716, B_42_3715]: (~E(s(0), f(suc(B_44_3716))) | ~iLEQ(suc(B_43_3719), suc(B_44_3716)) | ~iLEQ(suc(B_42_3715), suc(B_46_3717)) | ~E(f(A_1_3718), f(suc(A_1_3718))) | ~E(s(0), f(suc(suc(B_43_3719)))) | ~E(s(0), f(suc(suc(B_44_3716)))) | ~E(s(0), f(suc(suc(B_42_3715)))) | ~E(s(0), f(suc(suc(B_46_3717)))) | ~E(s(0), f(B_44_3716)) | ~E(s(0), f(B_46_3717)) | ~iLEQ(suc(B_44_3716), suc(B_42_3715)) | ~E(s(0), f(B_43_3719)) | ~E(f(B_43_3719), f(suc(B_43_3719))) | ~E(f(B_46_3717), f(suc(B_46_3717))) | ~E(f(B_44_3716), f(suc(B_44_3716))) | ~iLEQ(suc(A_1_3718), suc(B_43_3719)) | ~E(s(0), f(suc(A_1_3718))) | ~E(s(0), f(A_1_3718)) | ~E(s(0), f(suc(B_43_3719))) | ~E(s(0), f(suc(suc(A_1_3718)))) | ~E(s(0), f(suc(B_46_3717))) | ~E(s(0), f(suc(B_42_3715))) | ~E(s(0), f(B_42_3715)) | LE(f(B_42_3715), s(0)))), inference(resolution, [status(thm)], [c_2035, c_4314])).
% 166.75/151.91 tff(c_32066, plain, (![B_42_3747, B_46_3748, A_1_3749, B_42_3750]: (~iLEQ(suc(B_42_3747), suc(B_46_3748)) | ~E(f(A_1_3749), f(suc(A_1_3749))) | ~E(s(0), f(suc(suc(B_42_3750)))) | ~E(s(0), f(suc(suc(B_42_3747)))) | ~E(s(0), f(suc(suc(B_46_3748)))) | ~E(s(0), f(B_46_3748)) | ~iLEQ(suc(B_42_3750), suc(B_42_3747)) | ~E(f(B_46_3748), f(suc(B_46_3748))) | ~E(f(B_42_3750), f(suc(B_42_3750))) | ~iLEQ(suc(A_1_3749), suc(B_42_3750)) | ~E(s(0), f(suc(A_1_3749))) | ~E(s(0), f(A_1_3749)) | ~E(s(0), f(suc(B_42_3750))) | ~E(s(0), f(suc(suc(A_1_3749)))) | ~E(s(0), f(suc(B_46_3748))) | ~E(s(0), f(suc(B_42_3747))) | ~E(s(0), f(B_42_3747)) | LE(f(B_42_3747), s(0)) | ~E(s(0), f(B_42_3750)) | LE(f(B_42_3750), s(0)))), inference(resolution, [status(thm)], [c_268, c_31708])).
% 166.75/151.91 tff(c_32106, plain, (![A_1_3751, B_42_3752, B_42_3753]: (~E(f(A_1_3751), f(suc(A_1_3751))) | ~E(s(0), f(suc(suc(B_42_3752)))) | ~E(s(0), f(suc(suc(B_42_3753)))) | ~iLEQ(suc(B_42_3752), suc(B_42_3753)) | ~E(f(B_42_3753), f(suc(B_42_3753))) | ~E(f(B_42_3752), f(suc(B_42_3752))) | ~iLEQ(suc(A_1_3751), suc(B_42_3752)) | ~E(s(0), f(suc(A_1_3751))) | ~E(s(0), f(A_1_3751)) | ~E(s(0), f(suc(B_42_3752))) | ~E(s(0), f(suc(suc(A_1_3751)))) | ~E(s(0), f(suc(B_42_3753))) | ~E(s(0), f(B_42_3752)) | LE(f(B_42_3752), s(0)) | ~E(s(0), f(B_42_3753)) | LE(f(B_42_3753), s(0)))), inference(resolution, [status(thm)], [c_268, c_32066])).
% 166.75/151.91 tff(c_32200, plain, (![B_42_3758, B_42_3759, B_42_3760]: (~E(s(0), f(suc(suc(B_42_3758)))) | ~E(s(0), f(suc(suc(B_42_3759)))) | ~iLEQ(suc(B_42_3758), suc(B_42_3759)) | ~E(f(B_42_3759), f(suc(B_42_3759))) | ~E(f(B_42_3758), f(suc(B_42_3758))) | ~iLEQ(suc(B_42_3760), suc(B_42_3758)) | ~E(s(0), f(suc(B_42_3760))) | ~E(s(0), f(suc(B_42_3758))) | ~E(s(0), f(suc(suc(B_42_3760)))) | ~E(s(0), f(suc(B_42_3759))) | ~E(s(0), f(B_42_3758)) | LE(f(B_42_3758), s(0)) | ~E(s(0), f(B_42_3759)) | LE(f(B_42_3759), s(0)) | ~E(s(0), f(B_42_3760)) | LE(f(B_42_3760), s(0)))), inference(resolution, [status(thm)], [c_2035, c_32106])).
% 166.75/151.91 tff(c_32219, plain, (![B_42_3761, B_42_3762, B_42_3763]: (~E(s(0), f(suc(suc(B_42_3761)))) | ~iLEQ(suc(B_42_3762), suc(B_42_3761)) | ~E(f(B_42_3761), f(suc(B_42_3761))) | ~E(f(B_42_3762), f(suc(B_42_3762))) | ~iLEQ(suc(B_42_3763), suc(B_42_3762)) | ~E(s(0), f(suc(B_42_3763))) | ~E(s(0), f(suc(B_42_3762))) | ~E(s(0), f(suc(suc(B_42_3763)))) | ~E(s(0), f(suc(B_42_3761))) | ~E(s(0), f(B_42_3762)) | ~E(s(0), f(B_42_3761)) | LE(f(B_42_3761), s(0)) | ~E(s(0), f(B_42_3763)) | LE(f(B_42_3763), s(0)) | LE(f(B_42_3762), s(0)))), inference(resolution, [status(thm)], [c_158, c_32200])).
% 166.75/151.91 tff(c_32238, plain, (![B_42_3764, B_42_3765, B_42_3766]: (~iLEQ(suc(B_42_3764), suc(B_42_3765)) | ~E(f(B_42_3765), f(suc(B_42_3765))) | ~E(f(B_42_3764), f(suc(B_42_3764))) | ~iLEQ(suc(B_42_3766), suc(B_42_3764)) | ~E(s(0), f(suc(B_42_3766))) | ~E(s(0), f(suc(B_42_3764))) | ~E(s(0), f(suc(suc(B_42_3766)))) | ~E(s(0), f(suc(B_42_3765))) | ~E(s(0), f(B_42_3764)) | ~E(s(0), f(B_42_3765)) | ~E(s(0), f(B_42_3766)) | LE(f(B_42_3766), s(0)) | LE(f(B_42_3764), s(0)) | LE(f(B_42_3765), s(0)))), inference(resolution, [status(thm)], [c_158, c_32219])).
% 166.75/151.91 tff(c_32297, plain, (![B_42_3770, B_42_3771]: (~E(f(B_42_3770), f(suc(B_42_3770))) | ~iLEQ(suc(B_42_3771), suc(B_42_3770)) | ~E(s(0), f(suc(B_42_3771))) | ~E(s(0), f(suc(suc(B_42_3771)))) | ~E(s(0), f(suc(B_42_3770))) | ~E(s(0), f(B_42_3771)) | LE(f(B_42_3771), s(0)) | ~E(s(0), f(B_42_3770)) | LE(f(B_42_3770), s(0)))), inference(resolution, [status(thm)], [c_268, c_32238])).
% 166.75/151.91 tff(c_32346, plain, (![B_42_3772, B_42_3773]: (~iLEQ(suc(B_42_3772), suc(B_42_3773)) | ~E(s(0), f(suc(B_42_3772))) | ~E(s(0), f(suc(suc(B_42_3772)))) | ~E(s(0), f(suc(B_42_3773))) | ~E(s(0), f(B_42_3772)) | LE(f(B_42_3772), s(0)) | ~E(s(0), f(B_42_3773)) | LE(f(B_42_3773), s(0)))), inference(resolution, [status(thm)], [c_2035, c_32297])).
% 166.75/151.91 tff(c_32386, plain, (![B_42_3774]: (~E(s(0), f(suc(suc(B_42_3774)))) | ~E(s(0), f(suc(B_42_3774))) | ~E(s(0), f(B_42_3774)) | LE(f(B_42_3774), s(0)))), inference(resolution, [status(thm)], [c_268, c_32346])).
% 166.75/151.91 tff(c_32407, plain, (![B_42_3775]: (~E(s(0), f(suc(B_42_3775))) | ~E(s(0), f(B_42_3775)) | LE(f(B_42_3775), s(0)))), inference(resolution, [status(thm)], [c_158, c_32386])).
% 166.75/151.91 tff(c_32428, plain, (![B_42_3776]: (~E(s(0), f(B_42_3776)) | LE(f(B_42_3776), s(0)))), inference(resolution, [status(thm)], [c_154, c_32407])).
% 166.75/151.91 tff(c_82, plain, (![B_60_168]: (LE(f(B_60_168), 0) | E(0, f(B_60_168)) | ~LE(f(B_60_168), s(0)))), inference(cnfTransformation, [status(thm)], [f_2098])).
% 166.75/151.91 tff(c_32472, plain, (![B_42_3781]: (LE(f(B_42_3781), 0) | E(0, f(B_42_3781)) | ~E(s(0), f(B_42_3781)))), inference(resolution, [status(thm)], [c_32428, c_82])).
% 166.75/151.91 tff(c_32493, plain, (![B_42_3782]: (LE(f(B_42_3782), 0) | E(0, f(B_42_3782)))), inference(resolution, [status(thm)], [c_167, c_32472])).
% 166.75/151.91 tff(c_2, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_25])).
% 166.75/151.91 tff(c_32497, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_32493, c_2])).
% 166.75/151.91 tff(c_169, plain, (![B_60_338]: (LE(f(B_60_338), 0) | E(0, f(suc(B_60_338))) | ~LE(f(suc(B_60_338)), s(0)))), inference(cnfTransformation, [status(thm)], [f_745])).
% 166.75/151.91 tff(c_173, plain, (![B_60_338]: (LE(f(B_60_338), 0) | E(0, f(suc(B_60_338))) | E(s(0), f(suc(B_60_338))))), inference(resolution, [status(thm)], [c_156, c_169])).
% 166.75/151.91 tff(c_30, plain, (![B_60_58]: (LE(f(B_60_58), 0) | E(0, f(suc(B_60_58))) | ~LE(f(suc(B_60_58)), s(0)))), inference(cnfTransformation, [status(thm)], [f_745])).
% 166.75/151.91 tff(c_32498, plain, (![B_60_3783]: (LE(f(B_60_3783), 0) | E(0, f(suc(B_60_3783))) | ~E(s(0), f(suc(B_60_3783))))), inference(resolution, [status(thm)], [c_32428, c_30])).
% 166.75/151.91 tff(c_32512, plain, (![B_60_338]: (LE(f(B_60_338), 0) | E(0, f(suc(B_60_338))))), inference(resolution, [status(thm)], [c_173, c_32498])).
% 166.75/151.91 tff(c_175, plain, (![B_60_340]: (LE(f(B_60_340), 0) | E(0, f(suc(suc(B_60_340)))) | ~LE(f(suc(suc(B_60_340))), s(0)))), inference(cnfTransformation, [status(thm)], [f_3789])).
% 166.75/151.91 tff(c_179, plain, (![B_60_340]: (LE(f(B_60_340), 0) | E(0, f(suc(suc(B_60_340)))) | E(s(0), f(suc(suc(B_60_340)))))), inference(resolution, [status(thm)], [c_156, c_175])).
% 166.75/151.91 tff(c_142, plain, (![B_60_306]: (LE(f(B_60_306), 0) | E(0, f(suc(suc(B_60_306)))) | ~LE(f(suc(suc(B_60_306))), s(0)))), inference(cnfTransformation, [status(thm)], [f_3789])).
% 166.75/151.91 tff(c_32520, plain, (![B_60_3785]: (LE(f(B_60_3785), 0) | E(0, f(suc(suc(B_60_3785)))) | ~E(s(0), f(suc(suc(B_60_3785)))))), inference(resolution, [status(thm)], [c_32428, c_142])).
% 166.75/151.91 tff(c_32530, plain, (![B_60_340]: (LE(f(B_60_340), 0) | E(0, f(suc(suc(B_60_340)))))), inference(resolution, [status(thm)], [c_179, c_32520])).
% 166.75/151.91 tff(c_32533, plain, (![B_60_3786]: (LE(f(B_60_3786), 0) | E(0, f(suc(suc(B_60_3786)))))), inference(resolution, [status(thm)], [c_179, c_32520])).
% 166.75/151.91 tff(c_68, plain, (![A_2_137]: (iLEQ(suc(A_2_137), suc(A_2_137)) | E(f(A_2_137), f(suc(A_2_137))) | ~E(0, f(suc(A_2_137))) | ~E(0, f(A_2_137)))), inference(cnfTransformation, [status(thm)], [f_1727])).
% 166.75/151.91 tff(c_201, plain, (![A_2_346]: (iLEQ(suc(A_2_346), suc(A_2_346)) | ~E(0, f(A_2_346)) | ~E(f(A_2_346), f(suc(A_2_346))) | ~E(0, f(suc(A_2_346))) | ~E(0, f(suc(suc(A_2_346)))))), inference(cnfTransformation, [status(thm)], [f_759])).
% 166.75/151.91 tff(c_213, plain, (![A_2_137]: (~E(0, f(suc(suc(A_2_137)))) | iLEQ(suc(A_2_137), suc(A_2_137)) | ~E(0, f(suc(A_2_137))) | ~E(0, f(A_2_137)))), inference(resolution, [status(thm)], [c_68, c_201])).
% 166.75/151.91 tff(c_32536, plain, (![B_60_3786]: (iLEQ(suc(B_60_3786), suc(B_60_3786)) | ~E(0, f(suc(B_60_3786))) | ~E(0, f(B_60_3786)) | LE(f(B_60_3786), 0))), inference(resolution, [status(thm)], [c_32533, c_213])).
% 166.75/151.91 tff(c_32537, plain, (![B_60_3787]: (iLEQ(suc(B_60_3787), suc(B_60_3787)) | ~E(0, f(suc(B_60_3787))) | ~E(0, f(B_60_3787)) | LE(f(B_60_3787), 0))), inference(resolution, [status(thm)], [c_32533, c_213])).
% 166.75/151.91 tff(c_46, plain, (![B_64_91, B_61_93, A_2_94, B_62_92, B_63_90]: (E(f(B_61_93), f(suc(B_61_93))) | E(f(A_2_94), f(suc(A_2_94))) | E(f(B_63_90), f(suc(B_63_90))) | E(f(B_64_91), f(suc(B_64_91))) | E(f(B_62_92), f(suc(B_62_92))) | ~E(0, f(B_62_92)) | ~E(0, f(suc(B_64_91))) | ~E(0, f(B_61_93)) | ~E(0, f(suc(B_62_92))) | ~iLEQ(suc(B_63_90), suc(B_64_91)) | ~E(0, f(B_64_91)) | ~iLEQ(suc(B_62_92), suc(B_63_90)) | ~E(0, f(A_2_94)) | ~E(0, f(suc(B_63_90))) | ~iLEQ(suc(B_61_93), suc(B_62_92)) | ~iLEQ(suc(A_2_94), suc(B_61_93)) | ~E(0, f(suc(A_2_94))) | ~E(0, f(suc(B_61_93))) | ~E(0, f(B_63_90)))), inference(cnfTransformation, [status(thm)], [f_1195])).
% 166.75/151.91 tff(c_32881, plain, (![B_61_3789, A_2_3790, B_60_3791, B_62_3792]: (E(f(B_61_3789), f(suc(B_61_3789))) | E(f(A_2_3790), f(suc(A_2_3790))) | E(f(B_60_3791), f(suc(B_60_3791))) | E(f(B_62_3792), f(suc(B_62_3792))) | ~E(0, f(B_62_3792)) | ~E(0, f(B_61_3789)) | ~E(0, f(suc(B_62_3792))) | ~iLEQ(suc(B_62_3792), suc(B_60_3791)) | ~E(0, f(A_2_3790)) | ~iLEQ(suc(B_61_3789), suc(B_62_3792)) | ~iLEQ(suc(A_2_3790), suc(B_61_3789)) | ~E(0, f(suc(A_2_3790))) | ~E(0, f(suc(B_61_3789))) | ~E(0, f(suc(B_60_3791))) | ~E(0, f(B_60_3791)) | LE(f(B_60_3791), 0))), inference(resolution, [status(thm)], [c_32537, c_46])).
% 166.75/151.91 tff(c_32902, plain, (![B_61_3801, A_2_3802, B_60_3803]: (E(f(B_61_3801), f(suc(B_61_3801))) | E(f(A_2_3802), f(suc(A_2_3802))) | E(f(B_60_3803), f(suc(B_60_3803))) | ~E(0, f(B_61_3801)) | ~E(0, f(A_2_3802)) | ~iLEQ(suc(B_61_3801), suc(B_60_3803)) | ~iLEQ(suc(A_2_3802), suc(B_61_3801)) | ~E(0, f(suc(A_2_3802))) | ~E(0, f(suc(B_61_3801))) | ~E(0, f(suc(B_60_3803))) | ~E(0, f(B_60_3803)) | LE(f(B_60_3803), 0))), inference(resolution, [status(thm)], [c_32536, c_32881])).
% 166.75/151.91 tff(c_32909, plain, (![A_2_3804, B_60_3805]: (E(f(A_2_3804), f(suc(A_2_3804))) | E(f(B_60_3805), f(suc(B_60_3805))) | ~E(0, f(A_2_3804)) | ~iLEQ(suc(A_2_3804), suc(B_60_3805)) | ~E(0, f(suc(A_2_3804))) | ~E(0, f(suc(B_60_3805))) | ~E(0, f(B_60_3805)) | LE(f(B_60_3805), 0))), inference(resolution, [status(thm)], [c_32536, c_32902])).
% 166.75/151.91 tff(c_32915, plain, (![B_60_3786]: (E(f(B_60_3786), f(suc(B_60_3786))) | ~E(0, f(suc(B_60_3786))) | ~E(0, f(B_60_3786)) | LE(f(B_60_3786), 0))), inference(resolution, [status(thm)], [c_32536, c_32909])).
% 166.75/151.91 tff(c_32916, plain, (![B_60_3806]: (E(f(B_60_3806), f(suc(B_60_3806))) | ~E(0, f(suc(B_60_3806))) | ~E(0, f(B_60_3806)) | LE(f(B_60_3806), 0))), inference(resolution, [status(thm)], [c_32536, c_32909])).
% 166.75/151.91 tff(c_42, plain, (![A_2_84, B_62_82, B_61_83, B_63_80, B_64_81]: (~E(f(B_61_83), f(suc(B_61_83))) | ~E(0, f(suc(suc(B_61_83)))) | ~E(f(A_2_84), f(suc(A_2_84))) | ~E(f(B_63_80), f(suc(B_63_80))) | ~E(f(B_64_81), f(suc(B_64_81))) | ~E(0, f(B_62_82)) | ~E(0, f(suc(suc(B_64_81)))) | ~E(0, f(suc(B_64_81))) | ~E(0, f(suc(suc(B_62_82)))) | ~E(0, f(B_61_83)) | ~E(f(B_62_82), f(suc(B_62_82))) | ~E(0, f(suc(suc(B_63_80)))) | ~E(0, f(suc(B_62_82))) | ~iLEQ(suc(B_63_80), suc(B_64_81)) | ~E(0, f(B_64_81)) | ~iLEQ(suc(B_62_82), suc(B_63_80)) | ~E(0, f(A_2_84)) | ~E(0, f(suc(B_63_80))) | ~iLEQ(suc(B_61_83), suc(B_62_82)) | ~iLEQ(suc(A_2_84), suc(B_61_83)) | ~E(0, f(suc(suc(A_2_84)))) | ~E(0, f(suc(A_2_84))) | ~E(0, f(suc(B_61_83))) | ~E(0, f(B_63_80)))), inference(cnfTransformation, [status(thm)], [f_1079])).
% 166.75/151.91 tff(c_36318, plain, (![B_60_5573, B_64_5574, B_62_5571, B_63_5572, A_2_5570]: (~E(0, f(suc(suc(B_60_5573)))) | ~E(f(A_2_5570), f(suc(A_2_5570))) | ~E(f(B_63_5572), f(suc(B_63_5572))) | ~E(f(B_64_5574), f(suc(B_64_5574))) | ~E(0, f(B_62_5571)) | ~E(0, f(suc(suc(B_64_5574)))) | ~E(0, f(suc(B_64_5574))) | ~E(0, f(suc(suc(B_62_5571)))) | ~E(f(B_62_5571), f(suc(B_62_5571))) | ~E(0, f(suc(suc(B_63_5572)))) | ~E(0, f(suc(B_62_5571))) | ~iLEQ(suc(B_63_5572), suc(B_64_5574)) | ~E(0, f(B_64_5574)) | ~iLEQ(suc(B_62_5571), suc(B_63_5572)) | ~E(0, f(A_2_5570)) | ~E(0, f(suc(B_63_5572))) | ~iLEQ(suc(B_60_5573), suc(B_62_5571)) | ~iLEQ(suc(A_2_5570), suc(B_60_5573)) | ~E(0, f(suc(suc(A_2_5570)))) | ~E(0, f(suc(A_2_5570))) | ~E(0, f(B_63_5572)) | ~E(0, f(suc(B_60_5573))) | ~E(0, f(B_60_5573)) | LE(f(B_60_5573), 0))), inference(resolution, [status(thm)], [c_32916, c_42])).
% 166.75/151.91 tff(c_38597, plain, (![B_60_6823, B_63_6824, A_2_6826, B_62_6825, B_64_6822]: (~E(f(A_2_6826), f(suc(A_2_6826))) | ~E(f(B_63_6824), f(suc(B_63_6824))) | ~E(f(B_64_6822), f(suc(B_64_6822))) | ~E(0, f(B_62_6825)) | ~E(0, f(suc(suc(B_64_6822)))) | ~E(0, f(suc(B_64_6822))) | ~E(0, f(suc(suc(B_62_6825)))) | ~E(f(B_62_6825), f(suc(B_62_6825))) | ~E(0, f(suc(suc(B_63_6824)))) | ~E(0, f(suc(B_62_6825))) | ~iLEQ(suc(B_63_6824), suc(B_64_6822)) | ~E(0, f(B_64_6822)) | ~iLEQ(suc(B_62_6825), suc(B_63_6824)) | ~E(0, f(A_2_6826)) | ~E(0, f(suc(B_63_6824))) | ~iLEQ(suc(B_60_6823), suc(B_62_6825)) | ~iLEQ(suc(A_2_6826), suc(B_60_6823)) | ~E(0, f(suc(suc(A_2_6826)))) | ~E(0, f(suc(A_2_6826))) | ~E(0, f(B_63_6824)) | ~E(0, f(suc(B_60_6823))) | ~E(0, f(B_60_6823)) | LE(f(B_60_6823), 0))), inference(resolution, [status(thm)], [c_32530, c_36318])).
% 166.75/151.91 tff(c_38610, plain, (![B_64_6828, B_60_6830, B_60_6831, B_63_6827, B_62_6829]: (~E(f(B_63_6827), f(suc(B_63_6827))) | ~E(f(B_64_6828), f(suc(B_64_6828))) | ~E(0, f(B_62_6829)) | ~E(0, f(suc(suc(B_64_6828)))) | ~E(0, f(suc(B_64_6828))) | ~E(0, f(suc(suc(B_62_6829)))) | ~E(f(B_62_6829), f(suc(B_62_6829))) | ~E(0, f(suc(suc(B_63_6827)))) | ~E(0, f(suc(B_62_6829))) | ~iLEQ(suc(B_63_6827), suc(B_64_6828)) | ~E(0, f(B_64_6828)) | ~iLEQ(suc(B_62_6829), suc(B_63_6827)) | ~E(0, f(suc(B_63_6827))) | ~iLEQ(suc(B_60_6831), suc(B_62_6829)) | ~iLEQ(suc(B_60_6830), suc(B_60_6831)) | ~E(0, f(suc(suc(B_60_6830)))) | ~E(0, f(B_63_6827)) | ~E(0, f(suc(B_60_6831))) | ~E(0, f(B_60_6831)) | LE(f(B_60_6831), 0) | ~E(0, f(suc(B_60_6830))) | ~E(0, f(B_60_6830)) | LE(f(B_60_6830), 0))), inference(resolution, [status(thm)], [c_32915, c_38597])).
% 166.75/151.91 tff(c_38623, plain, (![B_60_6835, B_64_6836, B_60_6834, B_60_6833, B_62_6832]: (~E(f(B_64_6836), f(suc(B_64_6836))) | ~E(0, f(B_62_6832)) | ~E(0, f(suc(suc(B_64_6836)))) | ~E(0, f(suc(B_64_6836))) | ~E(0, f(suc(suc(B_62_6832)))) | ~E(f(B_62_6832), f(suc(B_62_6832))) | ~E(0, f(suc(suc(B_60_6834)))) | ~E(0, f(suc(B_62_6832))) | ~iLEQ(suc(B_60_6834), suc(B_64_6836)) | ~E(0, f(B_64_6836)) | ~iLEQ(suc(B_62_6832), suc(B_60_6834)) | ~iLEQ(suc(B_60_6835), suc(B_62_6832)) | ~iLEQ(suc(B_60_6833), suc(B_60_6835)) | ~E(0, f(suc(suc(B_60_6833)))) | ~E(0, f(suc(B_60_6835))) | ~E(0, f(B_60_6835)) | LE(f(B_60_6835), 0) | ~E(0, f(suc(B_60_6833))) | ~E(0, f(B_60_6833)) | LE(f(B_60_6833), 0) | ~E(0, f(suc(B_60_6834))) | ~E(0, f(B_60_6834)) | LE(f(B_60_6834), 0))), inference(resolution, [status(thm)], [c_32915, c_38610])).
% 166.75/151.91 tff(c_38636, plain, (![B_60_6839, B_60_6838, B_60_6841, B_60_6837, B_62_6840]: (~E(0, f(B_62_6840)) | ~E(0, f(suc(suc(B_60_6839)))) | ~E(0, f(suc(suc(B_62_6840)))) | ~E(f(B_62_6840), f(suc(B_62_6840))) | ~E(0, f(suc(suc(B_60_6838)))) | ~E(0, f(suc(B_62_6840))) | ~iLEQ(suc(B_60_6838), suc(B_60_6839)) | ~iLEQ(suc(B_62_6840), suc(B_60_6838)) | ~iLEQ(suc(B_60_6837), suc(B_62_6840)) | ~iLEQ(suc(B_60_6841), suc(B_60_6837)) | ~E(0, f(suc(suc(B_60_6841)))) | ~E(0, f(suc(B_60_6837))) | ~E(0, f(B_60_6837)) | LE(f(B_60_6837), 0) | ~E(0, f(suc(B_60_6841))) | ~E(0, f(B_60_6841)) | LE(f(B_60_6841), 0) | ~E(0, f(suc(B_60_6838))) | ~E(0, f(B_60_6838)) | LE(f(B_60_6838), 0) | ~E(0, f(suc(B_60_6839))) | ~E(0, f(B_60_6839)) | LE(f(B_60_6839), 0))), inference(resolution, [status(thm)], [c_32915, c_38623])).
% 166.75/151.91 tff(c_38644, plain, (![B_60_6846, B_62_6842, B_60_6845, B_60_6844, B_60_6843]: (~E(0, f(B_62_6842)) | ~E(0, f(suc(suc(B_62_6842)))) | ~E(f(B_62_6842), f(suc(B_62_6842))) | ~E(0, f(suc(suc(B_60_6846)))) | ~E(0, f(suc(B_62_6842))) | ~iLEQ(suc(B_60_6846), suc(B_60_6844)) | ~iLEQ(suc(B_62_6842), suc(B_60_6846)) | ~iLEQ(suc(B_60_6845), suc(B_62_6842)) | ~iLEQ(suc(B_60_6843), suc(B_60_6845)) | ~E(0, f(suc(suc(B_60_6843)))) | ~E(0, f(suc(B_60_6845))) | ~E(0, f(B_60_6845)) | LE(f(B_60_6845), 0) | ~E(0, f(suc(B_60_6843))) | ~E(0, f(B_60_6843)) | LE(f(B_60_6843), 0) | ~E(0, f(suc(B_60_6846))) | ~E(0, f(B_60_6846)) | LE(f(B_60_6846), 0) | ~E(0, f(suc(B_60_6844))) | ~E(0, f(B_60_6844)) | LE(f(B_60_6844), 0))), inference(resolution, [status(thm)], [c_32530, c_38636])).
% 166.75/151.91 tff(c_38657, plain, (![B_60_6849, B_60_6850, B_60_6848, B_60_6851, B_60_6847]: (~E(0, f(suc(suc(B_60_6850)))) | ~E(0, f(suc(suc(B_60_6851)))) | ~iLEQ(suc(B_60_6851), suc(B_60_6847)) | ~iLEQ(suc(B_60_6850), suc(B_60_6851)) | ~iLEQ(suc(B_60_6849), suc(B_60_6850)) | ~iLEQ(suc(B_60_6848), suc(B_60_6849)) | ~E(0, f(suc(suc(B_60_6848)))) | ~E(0, f(suc(B_60_6849))) | ~E(0, f(B_60_6849)) | LE(f(B_60_6849), 0) | ~E(0, f(suc(B_60_6848))) | ~E(0, f(B_60_6848)) | LE(f(B_60_6848), 0) | ~E(0, f(suc(B_60_6851))) | ~E(0, f(B_60_6851)) | LE(f(B_60_6851), 0) | ~E(0, f(suc(B_60_6847))) | ~E(0, f(B_60_6847)) | LE(f(B_60_6847), 0) | ~E(0, f(suc(B_60_6850))) | ~E(0, f(B_60_6850)) | LE(f(B_60_6850), 0))), inference(resolution, [status(thm)], [c_32915, c_38644])).
% 166.75/151.91 tff(c_38665, plain, (![B_60_6856, B_60_6852, B_60_6855, B_60_6853, B_60_6854]: (~E(0, f(suc(suc(B_60_6854)))) | ~iLEQ(suc(B_60_6854), suc(B_60_6853)) | ~iLEQ(suc(B_60_6855), suc(B_60_6854)) | ~iLEQ(suc(B_60_6856), suc(B_60_6855)) | ~iLEQ(suc(B_60_6852), suc(B_60_6856)) | ~E(0, f(suc(suc(B_60_6852)))) | ~E(0, f(suc(B_60_6856))) | ~E(0, f(B_60_6856)) | LE(f(B_60_6856), 0) | ~E(0, f(suc(B_60_6852))) | ~E(0, f(B_60_6852)) | LE(f(B_60_6852), 0) | ~E(0, f(suc(B_60_6854))) | ~E(0, f(B_60_6854)) | LE(f(B_60_6854), 0) | ~E(0, f(suc(B_60_6853))) | ~E(0, f(B_60_6853)) | LE(f(B_60_6853), 0) | ~E(0, f(suc(B_60_6855))) | ~E(0, f(B_60_6855)) | LE(f(B_60_6855), 0))), inference(resolution, [status(thm)], [c_32530, c_38657])).
% 166.75/151.91 tff(c_38673, plain, (![B_60_6857, B_60_6860, B_60_6859, B_60_6858, B_60_6861]: (~iLEQ(suc(B_60_6861), suc(B_60_6860)) | ~iLEQ(suc(B_60_6859), suc(B_60_6861)) | ~iLEQ(suc(B_60_6857), suc(B_60_6859)) | ~iLEQ(suc(B_60_6858), suc(B_60_6857)) | ~E(0, f(suc(suc(B_60_6858)))) | ~E(0, f(suc(B_60_6857))) | ~E(0, f(B_60_6857)) | LE(f(B_60_6857), 0) | ~E(0, f(suc(B_60_6858))) | ~E(0, f(B_60_6858)) | LE(f(B_60_6858), 0) | ~E(0, f(suc(B_60_6861))) | ~E(0, f(B_60_6861)) | ~E(0, f(suc(B_60_6860))) | ~E(0, f(B_60_6860)) | LE(f(B_60_6860), 0) | ~E(0, f(suc(B_60_6859))) | ~E(0, f(B_60_6859)) | LE(f(B_60_6859), 0) | LE(f(B_60_6861), 0))), inference(resolution, [status(thm)], [c_32530, c_38665])).
% 166.75/151.91 tff(c_38680, plain, (![B_60_6862, B_60_6863, B_60_6864, B_60_6865]: (~iLEQ(suc(B_60_6862), suc(B_60_6863)) | ~iLEQ(suc(B_60_6864), suc(B_60_6862)) | ~iLEQ(suc(B_60_6865), suc(B_60_6864)) | ~E(0, f(suc(suc(B_60_6865)))) | ~E(0, f(suc(B_60_6864))) | ~E(0, f(B_60_6864)) | LE(f(B_60_6864), 0) | ~E(0, f(suc(B_60_6865))) | ~E(0, f(B_60_6865)) | LE(f(B_60_6865), 0) | ~E(0, f(suc(B_60_6862))) | ~E(0, f(B_60_6862)) | LE(f(B_60_6862), 0) | ~E(0, f(suc(B_60_6863))) | ~E(0, f(B_60_6863)) | LE(f(B_60_6863), 0))), inference(resolution, [status(thm)], [c_32536, c_38673])).
% 166.75/151.91 tff(c_38687, plain, (![B_60_6866, B_60_6867, B_60_6868]: (~iLEQ(suc(B_60_6866), suc(B_60_6867)) | ~iLEQ(suc(B_60_6868), suc(B_60_6866)) | ~E(0, f(suc(suc(B_60_6868)))) | ~E(0, f(suc(B_60_6866))) | ~E(0, f(B_60_6866)) | LE(f(B_60_6866), 0) | ~E(0, f(suc(B_60_6868))) | ~E(0, f(B_60_6868)) | LE(f(B_60_6868), 0) | ~E(0, f(suc(B_60_6867))) | ~E(0, f(B_60_6867)) | LE(f(B_60_6867), 0))), inference(resolution, [status(thm)], [c_32536, c_38680])).
% 166.75/151.91 tff(c_38694, plain, (![B_60_6869, B_60_6870]: (~iLEQ(suc(B_60_6869), suc(B_60_6870)) | ~E(0, f(suc(suc(B_60_6869)))) | ~E(0, f(suc(B_60_6869))) | ~E(0, f(B_60_6869)) | LE(f(B_60_6869), 0) | ~E(0, f(suc(B_60_6870))) | ~E(0, f(B_60_6870)) | LE(f(B_60_6870), 0))), inference(resolution, [status(thm)], [c_32536, c_38687])).
% 166.75/151.91 tff(c_38701, plain, (![B_60_6871]: (~E(0, f(suc(suc(B_60_6871)))) | ~E(0, f(suc(B_60_6871))) | ~E(0, f(B_60_6871)) | LE(f(B_60_6871), 0))), inference(resolution, [status(thm)], [c_32536, c_38694])).
% 166.75/151.91 tff(c_38710, plain, (![B_60_6872]: (~E(0, f(suc(B_60_6872))) | ~E(0, f(B_60_6872)) | LE(f(B_60_6872), 0))), inference(resolution, [status(thm)], [c_32530, c_38701])).
% 166.75/151.91 tff(c_38719, plain, (![B_60_6873]: (~E(0, f(B_60_6873)) | LE(f(B_60_6873), 0))), inference(resolution, [status(thm)], [c_32512, c_38710])).
% 166.75/151.91 tff(c_38722, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_38719, c_2])).
% 166.75/151.91 tff(c_38726, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_32497, c_38722])).
% 166.75/151.91 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 166.75/151.91
% 166.75/151.91 Inference rules
% 166.75/151.91 ----------------------
% 166.75/151.91 #Ref : 0
% 166.75/151.91 #Sup : 11707
% 166.75/151.91 #Fact : 0
% 166.75/151.91 #Define : 0
% 166.75/151.91 #Split : 0
% 166.75/151.91 #Chain : 0
% 166.75/151.91 #Close : 0
% 166.75/151.91
% 166.75/151.91 Ordering : KBO
% 166.75/151.91
% 166.75/151.91 Simplification rules
% 166.75/151.91 ----------------------
% 166.75/151.91 #Subsume : 9680
% 166.75/151.91 #Demod : 4
% 166.75/151.91 #Tautology : 1405
% 166.75/151.91 #SimpNegUnit : 0
% 166.75/151.91 #BackRed : 0
% 166.75/151.91
% 166.75/151.91 #Partial instantiations: 0
% 166.75/151.91 #Strategies tried : 1
% 166.75/151.91
% 166.75/151.91 Timing (in seconds)
% 166.75/151.91 ----------------------
% 166.75/151.92 Preprocessing : 1.07
% 166.75/151.92 Parsing : 0.63
% 166.75/151.92 CNF conversion : 0.06
% 166.75/151.92 Main loop : 149.73
% 166.75/151.92 Inferencing : 3.02
% 166.75/151.92 Reduction : 7.21
% 166.75/151.92 Demodulation : 5.82
% 166.75/151.92 BG Simplification : 0.21
% 166.75/151.92 Subsumption : 138.67
% 166.75/151.92 Abstraction : 0.34
% 166.75/151.92 MUC search : 0.00
% 166.75/151.92 Cooper : 0.00
% 166.75/151.92 Total : 150.88
% 166.75/151.92 Index Insertion : 0.00
% 166.75/151.92 Index Deletion : 0.00
% 166.75/151.92 Index Matching : 0.00
% 166.75/151.92 BG Taut test : 0.00
%------------------------------------------------------------------------------