TSTP Solution File: SYO675-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO675-1 : 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 : n020.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 11:18:20 EDT 2023
% Result : Unsatisfiable 7.43s 2.73s
% Output : CNFRefutation 7.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO675-1 : 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 : n020.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 15:57:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 7.43/2.73 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.43/2.75
% 7.43/2.75 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.43/2.76 %$ LE > E > #nlpp > suc > s > f > z > 0
% 7.43/2.76
% 7.43/2.76 %Foreground sorts:
% 7.43/2.76
% 7.43/2.76
% 7.43/2.76 %Background operators:
% 7.43/2.76
% 7.43/2.76
% 7.43/2.76 %Foreground operators:
% 7.43/2.76 tff(s, type, s: $i > $i).
% 7.43/2.76 tff(f, type, f: $i > $i).
% 7.43/2.76 tff(0, type, 0: $i).
% 7.43/2.76 tff(LE, type, LE: ($i * $i) > $o).
% 7.43/2.76 tff(suc, type, suc: $i > $i).
% 7.43/2.76 tff(z, type, z: $i).
% 7.43/2.76 tff(E, type, E: ($i * $i) > $o).
% 7.43/2.77
% 7.43/2.81 tff(f_299, axiom, (![A]: LE(f(A), s(s(s(s(0)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_198, axiom, (![B]: ((~LE(f(B), s(s(s(s(0))))) | E(s(s(s(0))), f(B))) | LE(f(B), s(s(s(0)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_98, axiom, (![B_0]: ((~LE(f(B_0), s(s(s(0)))) | E(s(s(0)), f(B_0))) | LE(f(B_0), s(s(0))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_255, axiom, (![B]: ((~LE(f(suc(B)), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(B)))) | LE(f(B), s(s(s(0)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_149, axiom, (![A_1]: ((~E(s(s(s(0))), f(A_1)) | ~E(s(s(s(0))), f(suc(A_1)))) | E(f(A_1), f(suc(A_1))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_191, axiom, (![B]: ((~LE(f(suc(suc(B))), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(suc(B))))) | LE(f(B), s(s(s(0)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_283, axiom, (![B]: ((~LE(f(suc(suc(suc(B)))), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(suc(suc(B)))))) | LE(f(B), s(s(s(0)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_69, axiom, (![A_1]: ((((~E(s(s(s(0))), f(suc(suc(A_1)))) | ~E(s(s(s(0))), f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(s(s(0))), f(A_1))) | E(f(A_1), f(suc(suc(A_1)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_248, axiom, (![A_1]: (((((~E(s(s(s(0))), f(suc(suc(suc(A_1))))) | ~E(s(s(s(0))), f(A_1))) | ~E(s(s(s(0))), f(suc(suc(A_1))))) | ~E(f(A_1), f(suc(suc(A_1))))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(s(s(0))), f(suc(A_1))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_262, axiom, (![B_1]: ((~LE(f(B_1), s(s(0))) | E(s(0), f(B_1))) | LE(f(B_1), s(0)))), file('unknown', unknown)).
% 7.43/2.81 tff(f_127, axiom, (![B_0]: ((~LE(f(suc(B_0)), s(s(s(0)))) | E(s(s(0)), f(suc(B_0)))) | LE(f(B_0), s(s(0))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_91, axiom, (![A_2]: ((~E(s(s(0)), f(A_2)) | ~E(s(s(0)), f(suc(A_2)))) | E(f(A_2), f(suc(A_2))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_120, axiom, (![B_0]: ((~LE(f(suc(suc(B_0))), s(s(s(0)))) | E(s(s(0)), f(suc(suc(B_0))))) | LE(f(B_0), s(s(0))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_141, axiom, (![A_2]: ((((~E(s(s(0)), f(suc(suc(A_2)))) | ~E(s(s(0)), f(suc(A_2)))) | ~E(f(A_2), f(suc(A_2)))) | ~E(s(s(0)), f(A_2))) | E(f(A_2), f(suc(suc(A_2)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_76, axiom, (![B_0]: ((~LE(f(suc(suc(suc(B_0)))), s(s(s(0)))) | E(s(s(0)), f(suc(suc(suc(B_0)))))) | LE(f(B_0), s(s(0))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_182, axiom, (![A_2]: (((((~E(f(A_2), f(suc(suc(A_2)))) | ~E(s(s(0)), f(suc(A_2)))) | ~E(s(s(0)), f(suc(suc(A_2))))) | ~E(s(s(0)), f(A_2))) | ~E(s(s(0)), f(suc(suc(suc(A_2)))))) | ~E(f(A_2), f(suc(A_2))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_230, axiom, (![B_2]: ((~LE(f(B_2), s(0)) | E(0, f(B_2))) | LE(f(B_2), 0))), file('unknown', unknown)).
% 7.43/2.81 tff(f_113, axiom, (![B_1]: ((~LE(f(suc(B_1)), s(s(0))) | E(s(0), f(suc(B_1)))) | LE(f(B_1), s(0)))), file('unknown', unknown)).
% 7.43/2.81 tff(f_164, axiom, (![A_3]: ((~E(s(0), f(A_3)) | ~E(s(0), f(suc(A_3)))) | E(f(A_3), f(suc(A_3))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_48, axiom, (![B_1]: ((~LE(f(suc(suc(B_1))), s(s(0))) | E(s(0), f(suc(suc(B_1))))) | LE(f(B_1), s(0)))), file('unknown', unknown)).
% 7.43/2.81 tff(f_297, axiom, (![A_3]: ((((~E(s(0), f(suc(suc(A_3)))) | ~E(s(0), f(suc(A_3)))) | ~E(f(A_3), f(suc(A_3)))) | ~E(s(0), f(A_3))) | E(f(A_3), f(suc(suc(A_3)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_205, axiom, (![B_1]: ((~LE(f(suc(suc(suc(B_1)))), s(s(0))) | E(s(0), f(suc(suc(suc(B_1)))))) | LE(f(B_1), s(0)))), file('unknown', unknown)).
% 7.43/2.81 tff(f_223, axiom, (![A_3]: (((((~E(f(A_3), f(suc(suc(A_3)))) | ~E(s(0), f(suc(suc(suc(A_3)))))) | ~E(s(0), f(suc(A_3)))) | ~E(f(A_3), f(suc(A_3)))) | ~E(s(0), f(A_3))) | ~E(s(0), f(suc(suc(A_3)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_184, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 7.43/2.81 tff(f_83, axiom, (![B_2]: ((~LE(f(suc(B_2)), s(0)) | E(0, f(suc(B_2)))) | LE(f(B_2), 0))), file('unknown', unknown)).
% 7.43/2.81 tff(f_156, axiom, (![B_2]: ((~LE(f(suc(suc(B_2))), s(0)) | E(0, f(suc(suc(B_2))))) | LE(f(B_2), 0))), file('unknown', unknown)).
% 7.43/2.81 tff(f_106, axiom, (![A_4]: ((~E(0, f(A_4)) | ~E(0, f(suc(A_4)))) | E(f(A_4), f(suc(A_4))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_55, axiom, (![B_2]: ((~LE(f(suc(suc(suc(B_2)))), s(0)) | E(0, f(suc(suc(suc(B_2)))))) | LE(f(B_2), 0))), file('unknown', unknown)).
% 7.43/2.81 tff(f_276, axiom, (![A_4]: ((((~E(0, f(suc(suc(A_4)))) | ~E(0, f(suc(A_4)))) | ~E(f(A_4), f(suc(A_4)))) | ~E(0, f(A_4))) | E(f(A_4), f(suc(suc(A_4)))))), file('unknown', unknown)).
% 7.43/2.81 tff(f_41, axiom, (![A_4]: (((((~E(f(A_4), f(suc(A_4))) | ~E(0, f(suc(suc(suc(A_4)))))) | ~E(0, f(suc(suc(A_4))))) | ~E(0, f(suc(A_4)))) | ~E(f(A_4), f(suc(suc(A_4))))) | ~E(0, f(A_4)))), file('unknown', unknown)).
% 7.43/2.81 tff(c_60, plain, (![A_29]: (LE(f(A_29), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_299])).
% 7.43/2.81 tff(c_40, plain, (![B_19]: (LE(f(B_19), s(s(s(0)))) | E(s(s(s(0))), f(B_19)) | ~LE(f(B_19), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_198])).
% 7.43/2.81 tff(c_66, plain, (![B_19]: (LE(f(B_19), s(s(s(0)))) | E(s(s(s(0))), f(B_19)))), inference(demodulation, [status(thm), theory('equality')], [c_60, c_40])).
% 7.43/2.81 tff(c_81, plain, (![B_0_42]: (LE(f(B_0_42), s(s(0))) | E(s(s(0)), f(B_0_42)) | ~LE(f(B_0_42), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_98])).
% 7.43/2.81 tff(c_85, plain, (![B_19]: (LE(f(B_19), s(s(0))) | E(s(s(0)), f(B_19)) | E(s(s(s(0))), f(B_19)))), inference(resolution, [status(thm)], [c_66, c_81])).
% 7.43/2.81 tff(c_50, plain, (![B_24]: (LE(f(B_24), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_24))) | ~LE(f(suc(B_24)), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_255])).
% 7.43/2.81 tff(c_64, plain, (![B_24]: (LE(f(B_24), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_24))))), inference(demodulation, [status(thm), theory('equality')], [c_60, c_50])).
% 7.43/2.81 tff(c_95, plain, (![A_1_48]: (E(f(A_1_48), f(suc(A_1_48))) | ~E(s(s(s(0))), f(suc(A_1_48))) | ~E(s(s(s(0))), f(A_1_48)))), inference(cnfTransformation, [status(thm)], [f_149])).
% 7.43/2.81 tff(c_108, plain, (![B_24]: (E(f(B_24), f(suc(B_24))) | ~E(s(s(s(0))), f(B_24)) | LE(f(B_24), s(s(s(0)))))), inference(resolution, [status(thm)], [c_64, c_95])).
% 7.43/2.81 tff(c_38, plain, (![B_18]: (LE(f(B_18), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_18)))) | ~LE(f(suc(suc(B_18))), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_191])).
% 7.43/2.81 tff(c_68, plain, (![B_18]: (LE(f(B_18), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_18)))))), inference(demodulation, [status(thm), theory('equality')], [c_60, c_38])).
% 7.43/2.81 tff(c_56, plain, (![B_27]: (LE(f(B_27), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(B_27))))) | ~LE(f(suc(suc(suc(B_27)))), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_283])).
% 7.43/2.81 tff(c_62, plain, (![B_27]: (LE(f(B_27), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(B_27))))))), inference(demodulation, [status(thm), theory('equality')], [c_60, c_56])).
% 7.43/2.81 tff(c_309, plain, (![A_1_73]: (E(f(A_1_73), f(suc(suc(A_1_73)))) | ~E(s(s(s(0))), f(A_1_73)) | ~E(f(A_1_73), f(suc(A_1_73))) | ~E(s(s(s(0))), f(suc(A_1_73))) | ~E(s(s(s(0))), f(suc(suc(A_1_73)))))), inference(cnfTransformation, [status(thm)], [f_69])).
% 7.43/2.81 tff(c_362, plain, (![B_80]: (E(f(B_80), f(suc(suc(B_80)))) | ~E(s(s(s(0))), f(B_80)) | ~E(f(B_80), f(suc(B_80))) | ~E(s(s(s(0))), f(suc(B_80))) | LE(f(B_80), s(s(s(0)))))), inference(resolution, [status(thm)], [c_68, c_309])).
% 7.43/2.81 tff(c_384, plain, (![B_24]: (E(f(B_24), f(suc(suc(B_24)))) | ~E(s(s(s(0))), f(B_24)) | ~E(f(B_24), f(suc(B_24))) | LE(f(B_24), s(s(s(0)))))), inference(resolution, [status(thm)], [c_64, c_362])).
% 7.43/2.81 tff(c_416, plain, (![A_1_84]: (~E(s(s(s(0))), f(suc(A_1_84))) | ~E(f(A_1_84), f(suc(A_1_84))) | ~E(f(A_1_84), f(suc(suc(A_1_84)))) | ~E(s(s(s(0))), f(suc(suc(A_1_84)))) | ~E(s(s(s(0))), f(A_1_84)) | ~E(s(s(s(0))), f(suc(suc(suc(A_1_84))))))), inference(cnfTransformation, [status(thm)], [f_248])).
% 7.43/2.81 tff(c_723, plain, (![B_105]: (~E(s(s(s(0))), f(suc(B_105))) | ~E(s(s(s(0))), f(suc(suc(B_105)))) | ~E(s(s(s(0))), f(suc(suc(suc(B_105))))) | ~E(s(s(s(0))), f(B_105)) | ~E(f(B_105), f(suc(B_105))) | LE(f(B_105), s(s(s(0)))))), inference(resolution, [status(thm)], [c_384, c_416])).
% 7.43/2.81 tff(c_750, plain, (![B_106]: (~E(s(s(s(0))), f(suc(B_106))) | ~E(s(s(s(0))), f(suc(suc(B_106)))) | ~E(s(s(s(0))), f(B_106)) | ~E(f(B_106), f(suc(B_106))) | LE(f(B_106), s(s(s(0)))))), inference(resolution, [status(thm)], [c_62, c_723])).
% 7.43/2.81 tff(c_775, plain, (![B_107]: (~E(s(s(s(0))), f(suc(B_107))) | ~E(s(s(s(0))), f(B_107)) | ~E(f(B_107), f(suc(B_107))) | LE(f(B_107), s(s(s(0)))))), inference(resolution, [status(thm)], [c_68, c_750])).
% 7.43/2.81 tff(c_798, plain, (![B_108]: (~E(s(s(s(0))), f(B_108)) | ~E(f(B_108), f(suc(B_108))) | LE(f(B_108), s(s(s(0)))))), inference(resolution, [status(thm)], [c_64, c_775])).
% 7.43/2.81 tff(c_847, plain, (![B_109]: (~E(s(s(s(0))), f(B_109)) | LE(f(B_109), s(s(s(0)))))), inference(resolution, [status(thm)], [c_108, c_798])).
% 7.43/2.81 tff(c_16, plain, (![B_0_8]: (LE(f(B_0_8), s(s(0))) | E(s(s(0)), f(B_0_8)) | ~LE(f(B_0_8), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_98])).
% 7.43/2.81 tff(c_864, plain, (![B_110]: (LE(f(B_110), s(s(0))) | E(s(s(0)), f(B_110)) | ~E(s(s(s(0))), f(B_110)))), inference(resolution, [status(thm)], [c_847, c_16])).
% 7.43/2.81 tff(c_893, plain, (![B_111]: (LE(f(B_111), s(s(0))) | E(s(s(0)), f(B_111)))), inference(resolution, [status(thm)], [c_85, c_864])).
% 7.43/2.81 tff(c_52, plain, (![B_1_25]: (LE(f(B_1_25), s(0)) | E(s(0), f(B_1_25)) | ~LE(f(B_1_25), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_262])).
% 7.43/2.81 tff(c_909, plain, (![B_111]: (LE(f(B_111), s(0)) | E(s(0), f(B_111)) | E(s(s(0)), f(B_111)))), inference(resolution, [status(thm)], [c_893, c_52])).
% 7.43/2.81 tff(c_90, plain, (![B_0_47]: (LE(f(B_0_47), s(s(0))) | E(s(s(0)), f(suc(B_0_47))) | ~LE(f(suc(B_0_47)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_127])).
% 7.43/2.81 tff(c_94, plain, (![B_0_47]: (LE(f(B_0_47), s(s(0))) | E(s(s(0)), f(suc(B_0_47))) | E(s(s(s(0))), f(suc(B_0_47))))), inference(resolution, [status(thm)], [c_66, c_90])).
% 7.43/2.81 tff(c_24, plain, (![B_0_12]: (LE(f(B_0_12), s(s(0))) | E(s(s(0)), f(suc(B_0_12))) | ~LE(f(suc(B_0_12)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_127])).
% 7.43/2.81 tff(c_946, plain, (![B_0_115]: (LE(f(B_0_115), s(s(0))) | E(s(s(0)), f(suc(B_0_115))) | ~E(s(s(s(0))), f(suc(B_0_115))))), inference(resolution, [status(thm)], [c_847, c_24])).
% 7.43/2.81 tff(c_971, plain, (![B_0_116]: (LE(f(B_0_116), s(s(0))) | E(s(s(0)), f(suc(B_0_116))))), inference(resolution, [status(thm)], [c_94, c_946])).
% 7.43/2.81 tff(c_14, plain, (![A_2_7]: (E(f(A_2_7), f(suc(A_2_7))) | ~E(s(s(0)), f(suc(A_2_7))) | ~E(s(s(0)), f(A_2_7)))), inference(cnfTransformation, [status(thm)], [f_91])).
% 7.43/2.81 tff(c_982, plain, (![B_0_116]: (E(f(B_0_116), f(suc(B_0_116))) | ~E(s(s(0)), f(B_0_116)) | LE(f(B_0_116), s(s(0))))), inference(resolution, [status(thm)], [c_971, c_14])).
% 7.43/2.81 tff(c_967, plain, (![B_0_47]: (LE(f(B_0_47), s(s(0))) | E(s(s(0)), f(suc(B_0_47))))), inference(resolution, [status(thm)], [c_94, c_946])).
% 7.43/2.81 tff(c_123, plain, (![B_0_52]: (LE(f(B_0_52), s(s(0))) | E(s(s(0)), f(suc(suc(B_0_52)))) | ~LE(f(suc(suc(B_0_52))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_120])).
% 7.43/2.81 tff(c_128, plain, (![B_0_52]: (LE(f(B_0_52), s(s(0))) | E(s(s(0)), f(suc(suc(B_0_52)))) | E(s(s(s(0))), f(suc(suc(B_0_52)))))), inference(resolution, [status(thm)], [c_66, c_123])).
% 7.43/2.81 tff(c_22, plain, (![B_0_11]: (LE(f(B_0_11), s(s(0))) | E(s(s(0)), f(suc(suc(B_0_11)))) | ~LE(f(suc(suc(B_0_11))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_120])).
% 7.43/2.81 tff(c_1018, plain, (![B_0_121]: (LE(f(B_0_121), s(s(0))) | E(s(s(0)), f(suc(suc(B_0_121)))) | ~E(s(s(s(0))), f(suc(suc(B_0_121)))))), inference(resolution, [status(thm)], [c_847, c_22])).
% 7.43/2.81 tff(c_1039, plain, (![B_0_122]: (LE(f(B_0_122), s(s(0))) | E(s(s(0)), f(suc(suc(B_0_122)))))), inference(resolution, [status(thm)], [c_128, c_1018])).
% 7.43/2.81 tff(c_26, plain, (![A_2_13]: (E(f(A_2_13), f(suc(suc(A_2_13)))) | ~E(s(s(0)), f(A_2_13)) | ~E(f(A_2_13), f(suc(A_2_13))) | ~E(s(s(0)), f(suc(A_2_13))) | ~E(s(s(0)), f(suc(suc(A_2_13)))))), inference(cnfTransformation, [status(thm)], [f_141])).
% 7.43/2.81 tff(c_1160, plain, (![B_0_135]: (E(f(B_0_135), f(suc(suc(B_0_135)))) | ~E(s(s(0)), f(B_0_135)) | ~E(f(B_0_135), f(suc(B_0_135))) | ~E(s(s(0)), f(suc(B_0_135))) | LE(f(B_0_135), s(s(0))))), inference(resolution, [status(thm)], [c_1039, c_26])).
% 7.43/2.81 tff(c_1179, plain, (![B_0_47]: (E(f(B_0_47), f(suc(suc(B_0_47)))) | ~E(s(s(0)), f(B_0_47)) | ~E(f(B_0_47), f(suc(B_0_47))) | LE(f(B_0_47), s(s(0))))), inference(resolution, [status(thm)], [c_967, c_1160])).
% 7.43/2.81 tff(c_1035, plain, (![B_0_52]: (LE(f(B_0_52), s(s(0))) | E(s(s(0)), f(suc(suc(B_0_52)))))), inference(resolution, [status(thm)], [c_128, c_1018])).
% 7.43/2.81 tff(c_146, plain, (![B_0_54]: (LE(f(B_0_54), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_0_54))))) | ~LE(f(suc(suc(suc(B_0_54)))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_76])).
% 7.43/2.81 tff(c_151, plain, (![B_0_54]: (LE(f(B_0_54), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_0_54))))) | E(s(s(s(0))), f(suc(suc(suc(B_0_54))))))), inference(resolution, [status(thm)], [c_66, c_146])).
% 7.43/2.81 tff(c_10, plain, (![B_0_5]: (LE(f(B_0_5), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_0_5))))) | ~LE(f(suc(suc(suc(B_0_5)))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_76])).
% 7.43/2.81 tff(c_1081, plain, (![B_0_126]: (LE(f(B_0_126), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_0_126))))) | ~E(s(s(s(0))), f(suc(suc(suc(B_0_126))))))), inference(resolution, [status(thm)], [c_847, c_10])).
% 7.43/2.81 tff(c_1098, plain, (![B_0_127]: (LE(f(B_0_127), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_0_127))))))), inference(resolution, [status(thm)], [c_151, c_1081])).
% 7.43/2.81 tff(c_34, plain, (![A_2_17]: (~E(f(A_2_17), f(suc(A_2_17))) | ~E(s(s(0)), f(suc(suc(suc(A_2_17))))) | ~E(s(s(0)), f(A_2_17)) | ~E(s(s(0)), f(suc(suc(A_2_17)))) | ~E(s(s(0)), f(suc(A_2_17))) | ~E(f(A_2_17), f(suc(suc(A_2_17)))))), inference(cnfTransformation, [status(thm)], [f_182])).
% 7.43/2.81 tff(c_1312, plain, (![B_0_152]: (~E(f(B_0_152), f(suc(B_0_152))) | ~E(s(s(0)), f(B_0_152)) | ~E(s(s(0)), f(suc(suc(B_0_152)))) | ~E(s(s(0)), f(suc(B_0_152))) | ~E(f(B_0_152), f(suc(suc(B_0_152)))) | LE(f(B_0_152), s(s(0))))), inference(resolution, [status(thm)], [c_1098, c_34])).
% 7.43/2.81 tff(c_1337, plain, (![B_0_153]: (~E(f(B_0_153), f(suc(B_0_153))) | ~E(s(s(0)), f(B_0_153)) | ~E(s(s(0)), f(suc(B_0_153))) | ~E(f(B_0_153), f(suc(suc(B_0_153)))) | LE(f(B_0_153), s(s(0))))), inference(resolution, [status(thm)], [c_1035, c_1312])).
% 7.43/2.81 tff(c_1377, plain, (![B_0_155]: (~E(f(B_0_155), f(suc(B_0_155))) | ~E(s(s(0)), f(B_0_155)) | ~E(f(B_0_155), f(suc(suc(B_0_155)))) | LE(f(B_0_155), s(s(0))))), inference(resolution, [status(thm)], [c_967, c_1337])).
% 7.43/2.81 tff(c_1410, plain, (![B_0_156]: (~E(s(s(0)), f(B_0_156)) | ~E(f(B_0_156), f(suc(B_0_156))) | LE(f(B_0_156), s(s(0))))), inference(resolution, [status(thm)], [c_1179, c_1377])).
% 7.43/2.81 tff(c_1468, plain, (![B_0_157]: (~E(s(s(0)), f(B_0_157)) | LE(f(B_0_157), s(s(0))))), inference(resolution, [status(thm)], [c_982, c_1410])).
% 7.43/2.81 tff(c_1485, plain, (![B_0_158]: (LE(f(B_0_158), s(0)) | E(s(0), f(B_0_158)) | ~E(s(s(0)), f(B_0_158)))), inference(resolution, [status(thm)], [c_1468, c_52])).
% 7.43/2.81 tff(c_1514, plain, (![B_159]: (LE(f(B_159), s(0)) | E(s(0), f(B_159)))), inference(resolution, [status(thm)], [c_909, c_1485])).
% 7.43/2.81 tff(c_46, plain, (![B_2_22]: (LE(f(B_2_22), 0) | E(0, f(B_2_22)) | ~LE(f(B_2_22), s(0)))), inference(cnfTransformation, [status(thm)], [f_230])).
% 7.43/2.81 tff(c_1530, plain, (![B_159]: (LE(f(B_159), 0) | E(0, f(B_159)) | E(s(0), f(B_159)))), inference(resolution, [status(thm)], [c_1514, c_46])).
% 7.43/2.81 tff(c_20, plain, (![B_1_10]: (LE(f(B_1_10), s(0)) | E(s(0), f(suc(B_1_10))) | ~LE(f(suc(B_1_10)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_113])).
% 7.43/2.81 tff(c_908, plain, (![B_1_10]: (LE(f(B_1_10), s(0)) | E(s(0), f(suc(B_1_10))) | E(s(s(0)), f(suc(B_1_10))))), inference(resolution, [status(thm)], [c_893, c_20])).
% 7.43/2.81 tff(c_1567, plain, (![B_1_163]: (LE(f(B_1_163), s(0)) | E(s(0), f(suc(B_1_163))) | ~E(s(s(0)), f(suc(B_1_163))))), inference(resolution, [status(thm)], [c_1468, c_20])).
% 7.43/2.81 tff(c_1591, plain, (![B_1_10]: (LE(f(B_1_10), s(0)) | E(s(0), f(suc(B_1_10))))), inference(resolution, [status(thm)], [c_908, c_1567])).
% 7.43/2.81 tff(c_1592, plain, (![B_1_164]: (LE(f(B_1_164), s(0)) | E(s(0), f(suc(B_1_164))))), inference(resolution, [status(thm)], [c_908, c_1567])).
% 7.43/2.81 tff(c_32, plain, (![A_3_16]: (E(f(A_3_16), f(suc(A_3_16))) | ~E(s(0), f(suc(A_3_16))) | ~E(s(0), f(A_3_16)))), inference(cnfTransformation, [status(thm)], [f_164])).
% 7.43/2.81 tff(c_1603, plain, (![B_1_164]: (E(f(B_1_164), f(suc(B_1_164))) | ~E(s(0), f(B_1_164)) | LE(f(B_1_164), s(0)))), inference(resolution, [status(thm)], [c_1592, c_32])).
% 7.43/2.81 tff(c_4, plain, (![B_1_2]: (LE(f(B_1_2), s(0)) | E(s(0), f(suc(suc(B_1_2)))) | ~LE(f(suc(suc(B_1_2))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_48])).
% 7.43/2.81 tff(c_907, plain, (![B_1_2]: (LE(f(B_1_2), s(0)) | E(s(0), f(suc(suc(B_1_2)))) | E(s(s(0)), f(suc(suc(B_1_2)))))), inference(resolution, [status(thm)], [c_893, c_4])).
% 7.43/2.81 tff(c_1615, plain, (![B_1_167]: (LE(f(B_1_167), s(0)) | E(s(0), f(suc(suc(B_1_167)))) | ~E(s(s(0)), f(suc(suc(B_1_167)))))), inference(resolution, [status(thm)], [c_1468, c_4])).
% 7.43/2.81 tff(c_1636, plain, (![B_1_168]: (LE(f(B_1_168), s(0)) | E(s(0), f(suc(suc(B_1_168)))))), inference(resolution, [status(thm)], [c_907, c_1615])).
% 7.43/2.81 tff(c_58, plain, (![A_3_28]: (E(f(A_3_28), f(suc(suc(A_3_28)))) | ~E(s(0), f(A_3_28)) | ~E(f(A_3_28), f(suc(A_3_28))) | ~E(s(0), f(suc(A_3_28))) | ~E(s(0), f(suc(suc(A_3_28)))))), inference(cnfTransformation, [status(thm)], [f_297])).
% 7.43/2.81 tff(c_1645, plain, (![B_1_168]: (E(f(B_1_168), f(suc(suc(B_1_168)))) | ~E(s(0), f(B_1_168)) | ~E(f(B_1_168), f(suc(B_1_168))) | ~E(s(0), f(suc(B_1_168))) | LE(f(B_1_168), s(0)))), inference(resolution, [status(thm)], [c_1636, c_58])).
% 7.43/2.81 tff(c_1635, plain, (![B_1_2]: (LE(f(B_1_2), s(0)) | E(s(0), f(suc(suc(B_1_2)))))), inference(resolution, [status(thm)], [c_907, c_1615])).
% 7.43/2.81 tff(c_42, plain, (![B_1_20]: (LE(f(B_1_20), s(0)) | E(s(0), f(suc(suc(suc(B_1_20))))) | ~LE(f(suc(suc(suc(B_1_20)))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_205])).
% 7.43/2.81 tff(c_906, plain, (![B_1_20]: (LE(f(B_1_20), s(0)) | E(s(0), f(suc(suc(suc(B_1_20))))) | E(s(s(0)), f(suc(suc(suc(B_1_20))))))), inference(resolution, [status(thm)], [c_893, c_42])).
% 7.43/2.81 tff(c_1650, plain, (![B_1_172]: (LE(f(B_1_172), s(0)) | E(s(0), f(suc(suc(suc(B_1_172))))) | ~E(s(s(0)), f(suc(suc(suc(B_1_172))))))), inference(resolution, [status(thm)], [c_1468, c_42])).
% 7.43/2.81 tff(c_1667, plain, (![B_1_173]: (LE(f(B_1_173), s(0)) | E(s(0), f(suc(suc(suc(B_1_173))))))), inference(resolution, [status(thm)], [c_906, c_1650])).
% 7.43/2.81 tff(c_44, plain, (![A_3_21]: (~E(s(0), f(suc(suc(A_3_21)))) | ~E(s(0), f(A_3_21)) | ~E(f(A_3_21), f(suc(A_3_21))) | ~E(s(0), f(suc(A_3_21))) | ~E(s(0), f(suc(suc(suc(A_3_21))))) | ~E(f(A_3_21), f(suc(suc(A_3_21)))))), inference(cnfTransformation, [status(thm)], [f_223])).
% 7.43/2.81 tff(c_1700, plain, (![B_1_182]: (~E(s(0), f(suc(suc(B_1_182)))) | ~E(s(0), f(B_1_182)) | ~E(f(B_1_182), f(suc(B_1_182))) | ~E(s(0), f(suc(B_1_182))) | ~E(f(B_1_182), f(suc(suc(B_1_182)))) | LE(f(B_1_182), s(0)))), inference(resolution, [status(thm)], [c_1667, c_44])).
% 7.43/2.81 tff(c_1729, plain, (![B_1_184]: (~E(s(0), f(B_1_184)) | ~E(f(B_1_184), f(suc(B_1_184))) | ~E(s(0), f(suc(B_1_184))) | ~E(f(B_1_184), f(suc(suc(B_1_184)))) | LE(f(B_1_184), s(0)))), inference(resolution, [status(thm)], [c_1635, c_1700])).
% 7.43/2.81 tff(c_1766, plain, (![B_1_185]: (~E(s(0), f(B_1_185)) | ~E(f(B_1_185), f(suc(B_1_185))) | ~E(s(0), f(suc(B_1_185))) | LE(f(B_1_185), s(0)))), inference(resolution, [status(thm)], [c_1645, c_1729])).
% 7.43/2.81 tff(c_1803, plain, (![B_1_186]: (~E(s(0), f(suc(B_1_186))) | ~E(s(0), f(B_1_186)) | LE(f(B_1_186), s(0)))), inference(resolution, [status(thm)], [c_1603, c_1766])).
% 7.43/2.81 tff(c_1832, plain, (![B_1_187]: (~E(s(0), f(B_1_187)) | LE(f(B_1_187), s(0)))), inference(resolution, [status(thm)], [c_1591, c_1803])).
% 7.43/2.81 tff(c_1849, plain, (![B_1_188]: (LE(f(B_1_188), 0) | E(0, f(B_1_188)) | ~E(s(0), f(B_1_188)))), inference(resolution, [status(thm)], [c_1832, c_46])).
% 7.43/2.81 tff(c_1878, plain, (![B_189]: (LE(f(B_189), 0) | E(0, f(B_189)))), inference(resolution, [status(thm)], [c_1530, c_1849])).
% 7.43/2.81 tff(c_36, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_184])).
% 7.43/2.81 tff(c_1882, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_1878, c_36])).
% 7.43/2.81 tff(c_12, plain, (![B_2_6]: (LE(f(B_2_6), 0) | E(0, f(suc(B_2_6))) | ~LE(f(suc(B_2_6)), s(0)))), inference(cnfTransformation, [status(thm)], [f_83])).
% 7.43/2.81 tff(c_1529, plain, (![B_2_6]: (LE(f(B_2_6), 0) | E(0, f(suc(B_2_6))) | E(s(0), f(suc(B_2_6))))), inference(resolution, [status(thm)], [c_1514, c_12])).
% 7.43/2.81 tff(c_1883, plain, (![B_2_190]: (LE(f(B_2_190), 0) | E(0, f(suc(B_2_190))) | ~E(s(0), f(suc(B_2_190))))), inference(resolution, [status(thm)], [c_1832, c_12])).
% 7.43/2.81 tff(c_1907, plain, (![B_2_6]: (LE(f(B_2_6), 0) | E(0, f(suc(B_2_6))))), inference(resolution, [status(thm)], [c_1529, c_1883])).
% 7.43/2.81 tff(c_30, plain, (![B_2_15]: (LE(f(B_2_15), 0) | E(0, f(suc(suc(B_2_15)))) | ~LE(f(suc(suc(B_2_15))), s(0)))), inference(cnfTransformation, [status(thm)], [f_156])).
% 7.43/2.81 tff(c_1528, plain, (![B_2_15]: (LE(f(B_2_15), 0) | E(0, f(suc(suc(B_2_15)))) | E(s(0), f(suc(suc(B_2_15)))))), inference(resolution, [status(thm)], [c_1514, c_30])).
% 7.43/2.81 tff(c_1913, plain, (![B_2_192]: (LE(f(B_2_192), 0) | E(0, f(suc(suc(B_2_192)))) | ~E(s(0), f(suc(suc(B_2_192)))))), inference(resolution, [status(thm)], [c_1832, c_30])).
% 7.43/2.81 tff(c_1933, plain, (![B_2_15]: (LE(f(B_2_15), 0) | E(0, f(suc(suc(B_2_15)))))), inference(resolution, [status(thm)], [c_1528, c_1913])).
% 7.43/2.81 tff(c_18, plain, (![A_4_9]: (E(f(A_4_9), f(suc(A_4_9))) | ~E(0, f(suc(A_4_9))) | ~E(0, f(A_4_9)))), inference(cnfTransformation, [status(thm)], [f_106])).
% 7.43/2.81 tff(c_6, plain, (![B_2_3]: (LE(f(B_2_3), 0) | E(0, f(suc(suc(suc(B_2_3))))) | ~LE(f(suc(suc(suc(B_2_3)))), s(0)))), inference(cnfTransformation, [status(thm)], [f_55])).
% 7.43/2.81 tff(c_1527, plain, (![B_2_3]: (LE(f(B_2_3), 0) | E(0, f(suc(suc(suc(B_2_3))))) | E(s(0), f(suc(suc(suc(B_2_3))))))), inference(resolution, [status(thm)], [c_1514, c_6])).
% 7.43/2.81 tff(c_1934, plain, (![B_2_193]: (LE(f(B_2_193), 0) | E(0, f(suc(suc(suc(B_2_193))))) | ~E(s(0), f(suc(suc(suc(B_2_193))))))), inference(resolution, [status(thm)], [c_1832, c_6])).
% 7.43/2.81 tff(c_1960, plain, (![B_2_195]: (LE(f(B_2_195), 0) | E(0, f(suc(suc(suc(B_2_195))))))), inference(resolution, [status(thm)], [c_1527, c_1934])).
% 7.43/2.81 tff(c_54, plain, (![A_4_26]: (E(f(A_4_26), f(suc(suc(A_4_26)))) | ~E(0, f(A_4_26)) | ~E(f(A_4_26), f(suc(A_4_26))) | ~E(0, f(suc(A_4_26))) | ~E(0, f(suc(suc(A_4_26)))))), inference(cnfTransformation, [status(thm)], [f_276])).
% 7.43/2.81 tff(c_258, plain, (![A_4_69]: (~E(0, f(A_4_69)) | ~E(f(A_4_69), f(suc(suc(A_4_69)))) | ~E(0, f(suc(A_4_69))) | ~E(0, f(suc(suc(A_4_69)))) | ~E(0, f(suc(suc(suc(A_4_69))))) | ~E(f(A_4_69), f(suc(A_4_69))))), inference(cnfTransformation, [status(thm)], [f_41])).
% 7.43/2.81 tff(c_262, plain, (![A_4_26]: (~E(0, f(suc(suc(suc(A_4_26))))) | ~E(0, f(A_4_26)) | ~E(f(A_4_26), f(suc(A_4_26))) | ~E(0, f(suc(A_4_26))) | ~E(0, f(suc(suc(A_4_26)))))), inference(resolution, [status(thm)], [c_54, c_258])).
% 7.43/2.81 tff(c_1964, plain, (![B_2_196]: (~E(0, f(B_2_196)) | ~E(f(B_2_196), f(suc(B_2_196))) | ~E(0, f(suc(B_2_196))) | ~E(0, f(suc(suc(B_2_196)))) | LE(f(B_2_196), 0))), inference(resolution, [status(thm)], [c_1960, c_262])).
% 7.43/2.81 tff(c_1993, plain, (![A_4_197]: (~E(0, f(suc(suc(A_4_197)))) | LE(f(A_4_197), 0) | ~E(0, f(suc(A_4_197))) | ~E(0, f(A_4_197)))), inference(resolution, [status(thm)], [c_18, c_1964])).
% 7.43/2.81 tff(c_2006, plain, (![B_2_198]: (~E(0, f(suc(B_2_198))) | ~E(0, f(B_2_198)) | LE(f(B_2_198), 0))), inference(resolution, [status(thm)], [c_1933, c_1993])).
% 7.43/2.81 tff(c_2019, plain, (![B_2_199]: (~E(0, f(B_2_199)) | LE(f(B_2_199), 0))), inference(resolution, [status(thm)], [c_1907, c_2006])).
% 7.43/2.81 tff(c_2022, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_2019, c_36])).
% 7.43/2.81 tff(c_2026, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_1882, c_2022])).
% 7.43/2.81 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.43/2.81
% 7.43/2.81 Inference rules
% 7.43/2.81 ----------------------
% 7.43/2.81 #Ref : 0
% 7.43/2.81 #Sup : 515
% 7.43/2.81 #Fact : 0
% 7.43/2.81 #Define : 0
% 7.43/2.81 #Split : 0
% 7.43/2.81 #Chain : 0
% 7.43/2.81 #Close : 0
% 7.43/2.81
% 7.43/2.81 Ordering : KBO
% 7.43/2.81
% 7.43/2.81 Simplification rules
% 7.43/2.81 ----------------------
% 7.43/2.81 #Subsume : 339
% 7.43/2.81 #Demod : 5
% 7.43/2.81 #Tautology : 0
% 7.43/2.81 #SimpNegUnit : 0
% 7.43/2.81 #BackRed : 0
% 7.43/2.81
% 7.43/2.81 #Partial instantiations: 0
% 7.43/2.81 #Strategies tried : 1
% 7.43/2.81
% 7.43/2.81 Timing (in seconds)
% 7.43/2.81 ----------------------
% 7.43/2.82 Preprocessing : 0.60
% 7.43/2.82 Parsing : 0.33
% 7.43/2.82 CNF conversion : 0.03
% 7.43/2.82 Main loop : 1.08
% 7.43/2.82 Inferencing : 0.42
% 7.43/2.82 Reduction : 0.24
% 7.43/2.82 Demodulation : 0.16
% 7.43/2.82 BG Simplification : 0.04
% 7.43/2.82 Subsumption : 0.31
% 7.43/2.82 Abstraction : 0.03
% 7.43/2.82 MUC search : 0.00
% 7.43/2.82 Cooper : 0.00
% 7.43/2.82 Total : 1.78
% 7.43/2.82 Index Insertion : 0.00
% 7.43/2.82 Index Deletion : 0.00
% 7.43/2.82 Index Matching : 0.00
% 7.43/2.82 BG Taut test : 0.00
%------------------------------------------------------------------------------