TSTP Solution File: SYO680-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO680-1 : 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 : n004.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 11:18:21 EDT 2023
% Result : Unsatisfiable 4.92s 2.13s
% Output : CNFRefutation 4.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO680-1 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 15:54:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.92/2.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.92/2.14
% 4.92/2.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.92/2.16 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 4.92/2.16
% 4.92/2.16 %Foreground sorts:
% 4.92/2.16
% 4.92/2.16
% 4.92/2.16 %Background operators:
% 4.92/2.16
% 4.92/2.16
% 4.92/2.16 %Foreground operators:
% 4.92/2.16 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 4.92/2.16 tff(s, type, s: $i > $i).
% 4.92/2.16 tff(f, type, f: $i > $i).
% 4.92/2.16 tff(0, type, 0: $i).
% 4.92/2.16 tff(LE, type, LE: ($i * $i) > $o).
% 4.92/2.16 tff(suc, type, suc: $i > $i).
% 4.92/2.16 tff(z, type, z: $i).
% 4.92/2.16 tff(E, type, E: ($i * $i) > $o).
% 4.92/2.16
% 4.92/2.19 tff(f_33, axiom, (![A]: LE(f(A), s(s(s(s(0)))))), file('unknown', unknown)).
% 4.92/2.19 tff(f_151, axiom, (![B_23]: ((~LE(f(B_23), s(s(s(s(0))))) | E(s(s(s(0))), f(B_23))) | LE(f(B_23), s(s(s(0)))))), file('unknown', unknown)).
% 4.92/2.19 tff(f_158, axiom, (![B_41]: ((~LE(f(B_41), s(s(s(0)))) | E(s(s(0)), f(B_41))) | LE(f(B_41), s(s(0))))), file('unknown', unknown)).
% 4.92/2.19 tff(f_189, axiom, (![B_23]: ((~LE(f(suc(B_23)), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(B_23)))) | LE(f(B_23), s(s(s(0)))))), file('unknown', unknown)).
% 4.92/2.19 tff(f_197, axiom, (![A_1]: ((~E(s(s(s(0))), f(A_1)) | ~E(s(s(s(0))), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 4.92/2.19 tff(f_104, axiom, (![B_24, B_25, A_1]: (((((((~iLEQ(suc(B_24), suc(B_25)) | ~E(s(s(s(0))), f(B_25))) | ~E(s(s(s(0))), f(B_24))) | ~iLEQ(suc(A_1), suc(B_24))) | ~E(s(s(s(0))), f(A_1))) | ~E(s(s(s(0))), f(suc(B_24)))) | ~E(s(s(s(0))), f(suc(B_25)))) | ~E(s(s(s(0))), f(suc(A_1))))), file('unknown', unknown)).
% 4.92/2.19 tff(f_111, axiom, (![B_53]: ((~LE(f(B_53), s(s(0))) | E(s(0), f(B_53))) | LE(f(B_53), s(0)))), file('unknown', unknown)).
% 4.92/2.19 tff(f_120, axiom, (![B_41]: ((~LE(f(suc(B_41)), s(s(s(0)))) | E(s(s(0)), f(suc(B_41)))) | LE(f(B_41), s(s(0))))), file('unknown', unknown)).
% 4.92/2.19 tff(f_56, axiom, (![A_2]: ((~E(s(s(0)), f(A_2)) | ~E(s(s(0)), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 4.92/2.19 tff(f_80, axiom, (![B_42, B_43, A_2]: (((((((~E(s(s(0)), f(suc(B_42))) | ~E(s(s(0)), f(B_42))) | ~iLEQ(suc(B_42), suc(B_43))) | ~E(s(s(0)), f(suc(A_2)))) | ~E(s(s(0)), f(suc(B_43)))) | ~iLEQ(suc(A_2), suc(B_42))) | ~E(s(s(0)), f(B_43))) | ~E(s(s(0)), f(A_2)))), file('unknown', unknown)).
% 4.92/2.19 tff(f_204, axiom, (![B_60]: ((~LE(f(B_60), s(0)) | E(0, f(B_60))) | LE(f(B_60), 0))), file('unknown', unknown)).
% 4.92/2.19 tff(f_211, axiom, (![B_53]: ((~LE(f(suc(B_53)), s(s(0))) | E(s(0), f(suc(B_53)))) | LE(f(B_53), s(0)))), file('unknown', unknown)).
% 4.92/2.19 tff(f_41, axiom, (![A_3]: ((~E(s(0), f(A_3)) | ~E(s(0), f(suc(A_3)))) | iLEQ(suc(A_3), suc(A_3)))), file('unknown', unknown)).
% 4.92/2.19 tff(f_182, axiom, (![B_54, B_55, A_3]: (((((((~iLEQ(suc(B_54), suc(B_55)) | ~E(s(0), f(suc(A_3)))) | ~iLEQ(suc(A_3), suc(B_54))) | ~E(s(0), f(suc(B_55)))) | ~E(s(0), f(A_3))) | ~E(s(0), f(B_55))) | ~E(s(0), f(suc(B_54)))) | ~E(s(0), f(B_54)))), file('unknown', unknown)).
% 4.92/2.19 tff(f_113, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 4.92/2.19 tff(f_48, axiom, (![B_60]: ((~LE(f(suc(B_60)), s(0)) | E(0, f(suc(B_60)))) | LE(f(B_60), 0))), file('unknown', unknown)).
% 4.92/2.19 tff(f_31, axiom, (![A_4]: ((~E(0, f(A_4)) | ~E(0, f(suc(A_4)))) | iLEQ(suc(A_4), suc(A_4)))), file('unknown', unknown)).
% 4.92/2.19 tff(f_144, axiom, (![B_61, B_62, A_4]: (((((((~E(0, f(suc(B_61))) | ~iLEQ(suc(B_61), suc(B_62))) | ~iLEQ(suc(A_4), suc(B_61))) | ~E(0, f(suc(B_62)))) | ~E(0, f(B_61))) | ~E(0, f(suc(A_4)))) | ~E(0, f(B_62))) | ~E(0, f(A_4)))), file('unknown', unknown)).
% 4.92/2.19 tff(c_4, plain, (![A_2]: (LE(f(A_2), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_33])).
% 4.92/2.19 tff(c_24, plain, (![B_23_17]: (LE(f(B_23_17), s(s(s(0)))) | E(s(s(s(0))), f(B_23_17)) | ~LE(f(B_23_17), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_151])).
% 4.92/2.19 tff(c_40, plain, (![B_23_17]: (LE(f(B_23_17), s(s(s(0)))) | E(s(s(s(0))), f(B_23_17)))), inference(demodulation, [status(thm), theory('equality')], [c_4, c_24])).
% 4.92/2.19 tff(c_51, plain, (![B_41_36]: (LE(f(B_41_36), s(s(0))) | E(s(s(0)), f(B_41_36)) | ~LE(f(B_41_36), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_158])).
% 4.92/2.19 tff(c_55, plain, (![B_23_17]: (LE(f(B_23_17), s(s(0))) | E(s(s(0)), f(B_23_17)) | E(s(s(s(0))), f(B_23_17)))), inference(resolution, [status(thm)], [c_40, c_51])).
% 4.92/2.19 tff(c_30, plain, (![B_23_22]: (LE(f(B_23_22), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_23_22))) | ~LE(f(suc(B_23_22)), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_189])).
% 4.92/2.19 tff(c_38, plain, (![B_23_22]: (LE(f(B_23_22), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_23_22))))), inference(demodulation, [status(thm), theory('equality')], [c_4, c_30])).
% 4.92/2.19 tff(c_57, plain, (![A_1_38]: (iLEQ(suc(A_1_38), suc(A_1_38)) | ~E(s(s(s(0))), f(suc(A_1_38))) | ~E(s(s(s(0))), f(A_1_38)))), inference(cnfTransformation, [status(thm)], [f_197])).
% 4.92/2.19 tff(c_64, plain, (![B_23_22]: (iLEQ(suc(B_23_22), suc(B_23_22)) | ~E(s(s(s(0))), f(B_23_22)) | LE(f(B_23_22), s(s(s(0)))))), inference(resolution, [status(thm)], [c_38, c_57])).
% 4.92/2.19 tff(c_180, plain, (![A_1_61, B_25_62, B_24_63]: (~E(s(s(s(0))), f(suc(A_1_61))) | ~E(s(s(s(0))), f(suc(B_25_62))) | ~E(s(s(s(0))), f(suc(B_24_63))) | ~E(s(s(s(0))), f(A_1_61)) | ~iLEQ(suc(A_1_61), suc(B_24_63)) | ~E(s(s(s(0))), f(B_24_63)) | ~E(s(s(s(0))), f(B_25_62)) | ~iLEQ(suc(B_24_63), suc(B_25_62)))), inference(cnfTransformation, [status(thm)], [f_104])).
% 4.92/2.19 tff(c_244, plain, (![B_25_72, B_24_73, B_23_74]: (~E(s(s(s(0))), f(suc(B_25_72))) | ~E(s(s(s(0))), f(suc(B_24_73))) | ~E(s(s(s(0))), f(B_23_74)) | ~iLEQ(suc(B_23_74), suc(B_24_73)) | ~E(s(s(s(0))), f(B_24_73)) | ~E(s(s(s(0))), f(B_25_72)) | ~iLEQ(suc(B_24_73), suc(B_25_72)) | LE(f(B_23_74), s(s(s(0)))))), inference(resolution, [status(thm)], [c_38, c_180])).
% 4.92/2.19 tff(c_277, plain, (![B_24_79, B_23_80, B_23_81]: (~E(s(s(s(0))), f(suc(B_24_79))) | ~E(s(s(s(0))), f(B_23_80)) | ~iLEQ(suc(B_23_80), suc(B_24_79)) | ~E(s(s(s(0))), f(B_24_79)) | ~E(s(s(s(0))), f(B_23_81)) | ~iLEQ(suc(B_24_79), suc(B_23_81)) | LE(f(B_23_80), s(s(s(0)))) | LE(f(B_23_81), s(s(s(0)))))), inference(resolution, [status(thm)], [c_38, c_244])).
% 4.92/2.19 tff(c_288, plain, (![B_23_82, B_23_83, B_23_84]: (~E(s(s(s(0))), f(B_23_82)) | ~iLEQ(suc(B_23_82), suc(B_23_83)) | ~E(s(s(s(0))), f(B_23_83)) | ~E(s(s(s(0))), f(B_23_84)) | ~iLEQ(suc(B_23_83), suc(B_23_84)) | LE(f(B_23_82), s(s(s(0)))) | LE(f(B_23_84), s(s(s(0)))) | LE(f(B_23_83), s(s(s(0)))))), inference(resolution, [status(thm)], [c_38, c_277])).
% 4.92/2.19 tff(c_322, plain, (![B_23_85, B_23_86]: (~E(s(s(s(0))), f(B_23_85)) | ~iLEQ(suc(B_23_86), suc(B_23_85)) | LE(f(B_23_85), s(s(s(0)))) | ~E(s(s(s(0))), f(B_23_86)) | LE(f(B_23_86), s(s(s(0)))))), inference(resolution, [status(thm)], [c_64, c_288])).
% 4.92/2.19 tff(c_356, plain, (![B_23_87]: (~E(s(s(s(0))), f(B_23_87)) | LE(f(B_23_87), s(s(s(0)))))), inference(resolution, [status(thm)], [c_64, c_322])).
% 4.92/2.19 tff(c_26, plain, (![B_41_18]: (LE(f(B_41_18), s(s(0))) | E(s(s(0)), f(B_41_18)) | ~LE(f(B_41_18), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_158])).
% 4.92/2.19 tff(c_365, plain, (![B_23_88]: (LE(f(B_23_88), s(s(0))) | E(s(s(0)), f(B_23_88)) | ~E(s(s(s(0))), f(B_23_88)))), inference(resolution, [status(thm)], [c_356, c_26])).
% 4.92/2.19 tff(c_378, plain, (![B_23_89]: (LE(f(B_23_89), s(s(0))) | E(s(s(0)), f(B_23_89)))), inference(resolution, [status(thm)], [c_55, c_365])).
% 4.92/2.19 tff(c_16, plain, (![B_53_12]: (LE(f(B_53_12), s(0)) | E(s(0), f(B_53_12)) | ~LE(f(B_53_12), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_111])).
% 4.92/2.19 tff(c_386, plain, (![B_23_89]: (LE(f(B_23_89), s(0)) | E(s(0), f(B_23_89)) | E(s(s(0)), f(B_23_89)))), inference(resolution, [status(thm)], [c_378, c_16])).
% 4.92/2.19 tff(c_70, plain, (![B_41_40]: (LE(f(B_41_40), s(s(0))) | E(s(s(0)), f(suc(B_41_40))) | ~LE(f(suc(B_41_40)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_120])).
% 4.92/2.19 tff(c_78, plain, (![B_41_40]: (LE(f(B_41_40), s(s(0))) | E(s(s(0)), f(suc(B_41_40))) | E(s(s(s(0))), f(suc(B_41_40))))), inference(resolution, [status(thm)], [c_40, c_70])).
% 4.92/2.19 tff(c_20, plain, (![B_41_13]: (LE(f(B_41_13), s(s(0))) | E(s(s(0)), f(suc(B_41_13))) | ~LE(f(suc(B_41_13)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_120])).
% 4.92/2.19 tff(c_403, plain, (![B_41_92]: (LE(f(B_41_92), s(s(0))) | E(s(s(0)), f(suc(B_41_92))) | ~E(s(s(s(0))), f(suc(B_41_92))))), inference(resolution, [status(thm)], [c_356, c_20])).
% 4.92/2.19 tff(c_410, plain, (![B_41_40]: (LE(f(B_41_40), s(s(0))) | E(s(s(0)), f(suc(B_41_40))))), inference(resolution, [status(thm)], [c_78, c_403])).
% 4.92/2.19 tff(c_412, plain, (![B_41_93]: (LE(f(B_41_93), s(s(0))) | E(s(s(0)), f(suc(B_41_93))))), inference(resolution, [status(thm)], [c_78, c_403])).
% 4.92/2.19 tff(c_10, plain, (![A_2_5]: (iLEQ(suc(A_2_5), suc(A_2_5)) | ~E(s(s(0)), f(suc(A_2_5))) | ~E(s(s(0)), f(A_2_5)))), inference(cnfTransformation, [status(thm)], [f_56])).
% 4.92/2.19 tff(c_418, plain, (![B_41_93]: (iLEQ(suc(B_41_93), suc(B_41_93)) | ~E(s(s(0)), f(B_41_93)) | LE(f(B_41_93), s(s(0))))), inference(resolution, [status(thm)], [c_412, c_10])).
% 4.92/2.19 tff(c_419, plain, (![B_41_94]: (iLEQ(suc(B_41_94), suc(B_41_94)) | ~E(s(s(0)), f(B_41_94)) | LE(f(B_41_94), s(s(0))))), inference(resolution, [status(thm)], [c_412, c_10])).
% 4.92/2.19 tff(c_12, plain, (![A_2_8, B_43_7, B_42_6]: (~E(s(s(0)), f(A_2_8)) | ~E(s(s(0)), f(B_43_7)) | ~iLEQ(suc(A_2_8), suc(B_42_6)) | ~E(s(s(0)), f(suc(B_43_7))) | ~E(s(s(0)), f(suc(A_2_8))) | ~iLEQ(suc(B_42_6), suc(B_43_7)) | ~E(s(s(0)), f(B_42_6)) | ~E(s(s(0)), f(suc(B_42_6))))), inference(cnfTransformation, [status(thm)], [f_80])).
% 4.92/2.19 tff(c_488, plain, (![B_43_102, B_41_103]: (~E(s(s(0)), f(B_43_102)) | ~E(s(s(0)), f(suc(B_43_102))) | ~iLEQ(suc(B_41_103), suc(B_43_102)) | ~E(s(s(0)), f(suc(B_41_103))) | ~E(s(s(0)), f(B_41_103)) | LE(f(B_41_103), s(s(0))))), inference(resolution, [status(thm)], [c_419, c_12])).
% 4.92/2.19 tff(c_507, plain, (![B_41_106, B_41_107]: (~E(s(s(0)), f(B_41_106)) | ~iLEQ(suc(B_41_107), suc(B_41_106)) | ~E(s(s(0)), f(suc(B_41_107))) | ~E(s(s(0)), f(B_41_107)) | LE(f(B_41_107), s(s(0))) | LE(f(B_41_106), s(s(0))))), inference(resolution, [status(thm)], [c_410, c_488])).
% 4.92/2.19 tff(c_526, plain, (![B_41_108]: (~E(s(s(0)), f(suc(B_41_108))) | ~E(s(s(0)), f(B_41_108)) | LE(f(B_41_108), s(s(0))))), inference(resolution, [status(thm)], [c_418, c_507])).
% 4.92/2.19 tff(c_539, plain, (![B_41_109]: (~E(s(s(0)), f(B_41_109)) | LE(f(B_41_109), s(s(0))))), inference(resolution, [status(thm)], [c_410, c_526])).
% 4.92/2.19 tff(c_548, plain, (![B_41_110]: (LE(f(B_41_110), s(0)) | E(s(0), f(B_41_110)) | ~E(s(s(0)), f(B_41_110)))), inference(resolution, [status(thm)], [c_539, c_16])).
% 4.92/2.19 tff(c_561, plain, (![B_23_111]: (LE(f(B_23_111), s(0)) | E(s(0), f(B_23_111)))), inference(resolution, [status(thm)], [c_386, c_548])).
% 4.92/2.19 tff(c_34, plain, (![B_60_24]: (LE(f(B_60_24), 0) | E(0, f(B_60_24)) | ~LE(f(B_60_24), s(0)))), inference(cnfTransformation, [status(thm)], [f_204])).
% 4.92/2.19 tff(c_569, plain, (![B_23_111]: (LE(f(B_23_111), 0) | E(0, f(B_23_111)) | E(s(0), f(B_23_111)))), inference(resolution, [status(thm)], [c_561, c_34])).
% 4.92/2.19 tff(c_36, plain, (![B_53_25]: (LE(f(B_53_25), s(0)) | E(s(0), f(suc(B_53_25))) | ~LE(f(suc(B_53_25)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_211])).
% 4.92/2.19 tff(c_385, plain, (![B_53_25]: (LE(f(B_53_25), s(0)) | E(s(0), f(suc(B_53_25))) | E(s(s(0)), f(suc(B_53_25))))), inference(resolution, [status(thm)], [c_378, c_36])).
% 4.92/2.19 tff(c_586, plain, (![B_53_114]: (LE(f(B_53_114), s(0)) | E(s(0), f(suc(B_53_114))) | ~E(s(s(0)), f(suc(B_53_114))))), inference(resolution, [status(thm)], [c_539, c_36])).
% 4.92/2.19 tff(c_595, plain, (![B_53_115]: (LE(f(B_53_115), s(0)) | E(s(0), f(suc(B_53_115))))), inference(resolution, [status(thm)], [c_385, c_586])).
% 4.92/2.19 tff(c_6, plain, (![A_3_3]: (iLEQ(suc(A_3_3), suc(A_3_3)) | ~E(s(0), f(suc(A_3_3))) | ~E(s(0), f(A_3_3)))), inference(cnfTransformation, [status(thm)], [f_41])).
% 4.92/2.19 tff(c_601, plain, (![B_53_115]: (iLEQ(suc(B_53_115), suc(B_53_115)) | ~E(s(0), f(B_53_115)) | LE(f(B_53_115), s(0)))), inference(resolution, [status(thm)], [c_595, c_6])).
% 4.92/2.19 tff(c_594, plain, (![B_53_25]: (LE(f(B_53_25), s(0)) | E(s(0), f(suc(B_53_25))))), inference(resolution, [status(thm)], [c_385, c_586])).
% 4.92/2.19 tff(c_28, plain, (![B_54_19, B_55_20, A_3_21]: (~E(s(0), f(B_54_19)) | ~E(s(0), f(suc(B_54_19))) | ~E(s(0), f(B_55_20)) | ~E(s(0), f(A_3_21)) | ~E(s(0), f(suc(B_55_20))) | ~iLEQ(suc(A_3_21), suc(B_54_19)) | ~E(s(0), f(suc(A_3_21))) | ~iLEQ(suc(B_54_19), suc(B_55_20)))), inference(cnfTransformation, [status(thm)], [f_182])).
% 4.92/2.19 tff(c_618, plain, (![B_53_121, B_55_122, A_3_123]: (~E(s(0), f(B_53_121)) | ~E(s(0), f(B_55_122)) | ~E(s(0), f(A_3_123)) | ~E(s(0), f(suc(B_55_122))) | ~iLEQ(suc(A_3_123), suc(B_53_121)) | ~E(s(0), f(suc(A_3_123))) | ~iLEQ(suc(B_53_121), suc(B_55_122)) | LE(f(B_53_121), s(0)))), inference(resolution, [status(thm)], [c_595, c_28])).
% 4.92/2.19 tff(c_629, plain, (![B_53_124, B_53_125, A_3_126]: (~E(s(0), f(B_53_124)) | ~E(s(0), f(B_53_125)) | ~E(s(0), f(A_3_126)) | ~iLEQ(suc(A_3_126), suc(B_53_124)) | ~E(s(0), f(suc(A_3_126))) | ~iLEQ(suc(B_53_124), suc(B_53_125)) | LE(f(B_53_124), s(0)) | LE(f(B_53_125), s(0)))), inference(resolution, [status(thm)], [c_594, c_618])).
% 4.92/2.19 tff(c_639, plain, (![B_53_127, B_53_128]: (~E(s(0), f(B_53_127)) | ~E(s(0), f(suc(B_53_128))) | ~iLEQ(suc(B_53_128), suc(B_53_127)) | LE(f(B_53_127), s(0)) | ~E(s(0), f(B_53_128)) | LE(f(B_53_128), s(0)))), inference(resolution, [status(thm)], [c_601, c_629])).
% 4.92/2.19 tff(c_650, plain, (![B_53_129, B_53_130]: (~E(s(0), f(B_53_129)) | ~iLEQ(suc(B_53_130), suc(B_53_129)) | LE(f(B_53_129), s(0)) | ~E(s(0), f(B_53_130)) | LE(f(B_53_130), s(0)))), inference(resolution, [status(thm)], [c_594, c_639])).
% 4.92/2.19 tff(c_663, plain, (![B_53_131]: (~E(s(0), f(B_53_131)) | LE(f(B_53_131), s(0)))), inference(resolution, [status(thm)], [c_601, c_650])).
% 4.92/2.19 tff(c_672, plain, (![B_53_132]: (LE(f(B_53_132), 0) | E(0, f(B_53_132)) | ~E(s(0), f(B_53_132)))), inference(resolution, [status(thm)], [c_663, c_34])).
% 4.92/2.19 tff(c_685, plain, (![B_23_133]: (LE(f(B_23_133), 0) | E(0, f(B_23_133)))), inference(resolution, [status(thm)], [c_569, c_672])).
% 4.92/2.19 tff(c_18, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_113])).
% 4.92/2.19 tff(c_689, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_685, c_18])).
% 4.92/2.19 tff(c_8, plain, (![B_60_4]: (LE(f(B_60_4), 0) | E(0, f(suc(B_60_4))) | ~LE(f(suc(B_60_4)), s(0)))), inference(cnfTransformation, [status(thm)], [f_48])).
% 4.92/2.19 tff(c_568, plain, (![B_60_4]: (LE(f(B_60_4), 0) | E(0, f(suc(B_60_4))) | E(s(0), f(suc(B_60_4))))), inference(resolution, [status(thm)], [c_561, c_8])).
% 4.92/2.19 tff(c_690, plain, (![B_60_134]: (LE(f(B_60_134), 0) | E(0, f(suc(B_60_134))) | ~E(s(0), f(suc(B_60_134))))), inference(resolution, [status(thm)], [c_663, c_8])).
% 4.92/2.19 tff(c_699, plain, (![B_60_135]: (LE(f(B_60_135), 0) | E(0, f(suc(B_60_135))))), inference(resolution, [status(thm)], [c_568, c_690])).
% 4.92/2.19 tff(c_2, plain, (![A_4_1]: (iLEQ(suc(A_4_1), suc(A_4_1)) | ~E(0, f(suc(A_4_1))) | ~E(0, f(A_4_1)))), inference(cnfTransformation, [status(thm)], [f_31])).
% 4.92/2.19 tff(c_99, plain, (![A_4_44, B_62_45, B_61_46]: (~E(0, f(A_4_44)) | ~E(0, f(B_62_45)) | ~E(0, f(suc(A_4_44))) | ~E(0, f(B_61_46)) | ~E(0, f(suc(B_62_45))) | ~iLEQ(suc(A_4_44), suc(B_61_46)) | ~iLEQ(suc(B_61_46), suc(B_62_45)) | ~E(0, f(suc(B_61_46))))), inference(cnfTransformation, [status(thm)], [f_144])).
% 4.92/2.19 tff(c_114, plain, (![B_62_48, A_4_49]: (~E(0, f(B_62_48)) | ~E(0, f(suc(B_62_48))) | ~iLEQ(suc(A_4_49), suc(B_62_48)) | ~E(0, f(suc(A_4_49))) | ~E(0, f(A_4_49)))), inference(resolution, [status(thm)], [c_2, c_99])).
% 4.92/2.19 tff(c_130, plain, (![A_4_1]: (~E(0, f(suc(A_4_1))) | ~E(0, f(A_4_1)))), inference(resolution, [status(thm)], [c_2, c_114])).
% 4.92/2.19 tff(c_704, plain, (![B_60_136]: (~E(0, f(B_60_136)) | LE(f(B_60_136), 0))), inference(resolution, [status(thm)], [c_699, c_130])).
% 4.92/2.19 tff(c_707, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_704, c_18])).
% 4.92/2.19 tff(c_711, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_689, c_707])).
% 4.92/2.19 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.92/2.19
% 4.92/2.19 Inference rules
% 4.92/2.19 ----------------------
% 4.92/2.19 #Ref : 0
% 4.92/2.19 #Sup : 173
% 4.92/2.19 #Fact : 0
% 4.92/2.19 #Define : 0
% 4.92/2.19 #Split : 0
% 4.92/2.19 #Chain : 0
% 4.92/2.19 #Close : 0
% 4.92/2.19
% 4.92/2.19 Ordering : KBO
% 4.92/2.19
% 4.92/2.19 Simplification rules
% 4.92/2.19 ----------------------
% 4.92/2.19 #Subsume : 125
% 4.92/2.19 #Demod : 3
% 4.92/2.19 #Tautology : 7
% 4.92/2.19 #SimpNegUnit : 0
% 4.92/2.19 #BackRed : 0
% 4.92/2.19
% 4.92/2.19 #Partial instantiations: 0
% 4.92/2.19 #Strategies tried : 1
% 4.92/2.19
% 4.92/2.19 Timing (in seconds)
% 4.92/2.19 ----------------------
% 4.92/2.19 Preprocessing : 0.51
% 4.92/2.19 Parsing : 0.29
% 4.92/2.19 CNF conversion : 0.03
% 4.92/2.19 Main loop : 0.60
% 4.92/2.19 Inferencing : 0.24
% 4.92/2.19 Reduction : 0.13
% 4.92/2.19 Demodulation : 0.08
% 4.92/2.19 BG Simplification : 0.03
% 4.92/2.19 Subsumption : 0.18
% 4.92/2.19 Abstraction : 0.02
% 4.92/2.19 MUC search : 0.00
% 4.92/2.19 Cooper : 0.00
% 4.92/2.19 Total : 1.18
% 4.92/2.19 Index Insertion : 0.00
% 4.92/2.19 Index Deletion : 0.00
% 4.92/2.19 Index Matching : 0.00
% 4.92/2.19 BG Taut test : 0.00
%------------------------------------------------------------------------------