TSTP Solution File: SYO674-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO674-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n025.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 4.63s 2.28s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYO674-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 16:07:49 EDT 2023
% 0.15/0.36 % CPUTime :
% 4.63/2.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.63/2.29
% 4.63/2.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.63/2.30 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 4.63/2.30
% 4.63/2.30 %Foreground sorts:
% 4.63/2.30
% 4.63/2.30
% 4.63/2.30 %Background operators:
% 4.63/2.30
% 4.63/2.30
% 4.63/2.30 %Foreground operators:
% 4.63/2.30 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 4.63/2.30 tff(s, type, s: $i > $i).
% 4.63/2.30 tff(f, type, f: $i > $i).
% 4.63/2.30 tff(0, type, 0: $i).
% 4.63/2.30 tff(LE, type, LE: ($i * $i) > $o).
% 4.63/2.30 tff(suc, type, suc: $i > $i).
% 4.63/2.30 tff(z, type, z: $i).
% 4.63/2.30 tff(E, type, E: ($i * $i) > $o).
% 4.63/2.30
% 4.63/2.33 tff(f_113, axiom, (![A]: LE(f(A), s(s(s(0))))), file('unknown', unknown)).
% 4.63/2.33 tff(f_103, axiom, (![B_158]: ((~LE(f(B_158), s(s(s(0)))) | E(s(s(0)), f(B_158))) | LE(f(B_158), s(s(0))))), file('unknown', unknown)).
% 4.63/2.33 tff(f_81, axiom, (![B_228]: ((~LE(f(B_228), s(s(0))) | E(s(0), f(B_228))) | LE(f(B_228), s(0)))), file('unknown', unknown)).
% 4.63/2.33 tff(f_122, axiom, (![B_158]: ((~LE(f(suc(B_158)), s(s(s(0)))) | E(s(s(0)), f(suc(B_158)))) | LE(f(B_158), s(s(0))))), file('unknown', unknown)).
% 4.63/2.33 tff(f_111, axiom, (![A_1]: ((~E(s(s(0)), f(A_1)) | ~E(s(s(0)), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 4.63/2.33 tff(f_173, axiom, (![B_160, B_159, A_1, B_161, B_163, B_162]: ((((((((((((((((~E(s(s(0)), f(A_1)) | ~E(s(s(0)), f(suc(B_163)))) | ~E(s(s(0)), f(B_159))) | ~iLEQ(suc(B_160), suc(B_161))) | ~E(s(s(0)), f(suc(A_1)))) | ~E(s(s(0)), f(B_162))) | ~E(s(s(0)), f(B_163))) | ~iLEQ(suc(B_159), suc(B_160))) | ~E(s(s(0)), f(suc(B_161)))) | ~E(s(s(0)), f(suc(B_160)))) | ~E(s(s(0)), f(suc(B_162)))) | ~E(s(s(0)), f(B_160))) | ~iLEQ(suc(B_161), suc(B_162))) | ~E(s(s(0)), f(B_161))) | ~E(s(s(0)), f(suc(B_159)))) | ~iLEQ(suc(B_162), suc(B_163))) | ~iLEQ(suc(A_1), suc(B_159)))), file('unknown', unknown)).
% 4.63/2.33 tff(f_96, axiom, (![B_253]: ((~LE(f(B_253), s(0)) | E(0, f(B_253))) | LE(f(B_253), 0))), file('unknown', unknown)).
% 4.63/2.33 tff(f_187, axiom, (![B_228]: ((~LE(f(suc(B_228)), s(s(0))) | E(s(0), f(suc(B_228)))) | LE(f(B_228), s(0)))), file('unknown', unknown)).
% 4.63/2.33 tff(f_195, axiom, (![A_2]: ((~E(s(0), f(A_2)) | ~E(s(0), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 4.63/2.33 tff(f_74, axiom, (![B_233, B_232, B_229, A_2, B_231, B_230]: ((((((((((((((((~E(s(0), f(suc(B_233))) | ~E(s(0), f(suc(B_232)))) | ~iLEQ(suc(B_230), suc(B_231))) | ~E(s(0), f(B_229))) | ~E(s(0), f(suc(A_2)))) | ~E(s(0), f(suc(B_229)))) | ~E(s(0), f(B_232))) | ~E(s(0), f(B_233))) | ~E(s(0), f(B_231))) | ~iLEQ(suc(A_2), suc(B_229))) | ~iLEQ(suc(B_229), suc(B_230))) | ~E(s(0), f(suc(B_231)))) | ~E(s(0), f(B_230))) | ~E(s(0), f(suc(B_230)))) | ~iLEQ(suc(B_232), suc(B_233))) | ~E(s(0), f(A_2))) | ~iLEQ(suc(B_231), suc(B_232)))), file('unknown', unknown)).
% 4.63/2.33 tff(f_115, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 4.63/2.33 tff(f_180, axiom, (![B_253]: ((~LE(f(suc(B_253)), s(0)) | E(0, f(suc(B_253)))) | LE(f(B_253), 0))), file('unknown', unknown)).
% 4.63/2.33 tff(f_89, axiom, (![A_3]: ((~E(0, f(A_3)) | ~E(0, f(suc(A_3)))) | iLEQ(suc(A_3), suc(A_3)))), file('unknown', unknown)).
% 4.63/2.33 tff(f_246, axiom, (![B_256, B_257, B_254, B_255, A_3, B_258]: ((((((((((((((((~iLEQ(suc(A_3), suc(B_254)) | ~E(0, f(B_254))) | ~E(0, f(suc(B_257)))) | ~iLEQ(suc(B_255), suc(B_256))) | ~E(0, f(B_258))) | ~iLEQ(suc(B_256), suc(B_257))) | ~E(0, f(A_3))) | ~E(0, f(B_255))) | ~E(0, f(suc(B_254)))) | ~iLEQ(suc(B_254), suc(B_255))) | ~E(0, f(suc(A_3)))) | ~E(0, f(suc(B_256)))) | ~iLEQ(suc(B_257), suc(B_258))) | ~E(0, f(suc(B_255)))) | ~E(0, f(suc(B_258)))) | ~E(0, f(B_256))) | ~E(0, f(B_257)))), file('unknown', unknown)).
% 4.63/2.33 tff(c_14, plain, (![A_12]: (LE(f(A_12), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_113])).
% 4.63/2.33 tff(c_10, plain, (![B_158_10]: (LE(f(B_158_10), s(s(0))) | E(s(s(0)), f(B_158_10)) | ~LE(f(B_158_10), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_103])).
% 4.63/2.33 tff(c_32, plain, (![B_158_10]: (LE(f(B_158_10), s(s(0))) | E(s(s(0)), f(B_158_10)))), inference(demodulation, [status(thm), theory('equality')], [c_14, c_10])).
% 4.63/2.33 tff(c_39, plain, (![B_228_35]: (LE(f(B_228_35), s(0)) | E(s(0), f(B_228_35)) | ~LE(f(B_228_35), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_81])).
% 4.63/2.33 tff(c_43, plain, (![B_158_10]: (LE(f(B_158_10), s(0)) | E(s(0), f(B_158_10)) | E(s(s(0)), f(B_158_10)))), inference(resolution, [status(thm)], [c_32, c_39])).
% 4.63/2.33 tff(c_18, plain, (![B_158_13]: (LE(f(B_158_13), s(s(0))) | E(s(s(0)), f(suc(B_158_13))) | ~LE(f(suc(B_158_13)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_122])).
% 4.63/2.33 tff(c_30, plain, (![B_158_13]: (LE(f(B_158_13), s(s(0))) | E(s(s(0)), f(suc(B_158_13))))), inference(demodulation, [status(thm), theory('equality')], [c_14, c_18])).
% 4.63/2.33 tff(c_51, plain, (![A_1_39]: (iLEQ(suc(A_1_39), suc(A_1_39)) | ~E(s(s(0)), f(suc(A_1_39))) | ~E(s(s(0)), f(A_1_39)))), inference(cnfTransformation, [status(thm)], [f_111])).
% 4.63/2.33 tff(c_58, plain, (![B_158_13]: (iLEQ(suc(B_158_13), suc(B_158_13)) | ~E(s(s(0)), f(B_158_13)) | LE(f(B_158_13), s(s(0))))), inference(resolution, [status(thm)], [c_30, c_51])).
% 4.63/2.33 tff(c_152, plain, (![B_160_62, B_159_63, B_162_65, B_163_61, B_161_64, A_1_66]: (~iLEQ(suc(A_1_66), suc(B_159_63)) | ~iLEQ(suc(B_162_65), suc(B_163_61)) | ~E(s(s(0)), f(suc(B_159_63))) | ~E(s(s(0)), f(B_161_64)) | ~iLEQ(suc(B_161_64), suc(B_162_65)) | ~E(s(s(0)), f(B_160_62)) | ~E(s(s(0)), f(suc(B_162_65))) | ~E(s(s(0)), f(suc(B_160_62))) | ~E(s(s(0)), f(suc(B_161_64))) | ~iLEQ(suc(B_159_63), suc(B_160_62)) | ~E(s(s(0)), f(B_163_61)) | ~E(s(s(0)), f(B_162_65)) | ~E(s(s(0)), f(suc(A_1_66))) | ~iLEQ(suc(B_160_62), suc(B_161_64)) | ~E(s(s(0)), f(B_159_63)) | ~E(s(s(0)), f(suc(B_163_61))) | ~E(s(s(0)), f(A_1_66)))), inference(cnfTransformation, [status(thm)], [f_173])).
% 4.63/2.33 tff(c_356, plain, (![B_160_98, B_161_97, B_163_99, B_158_95, B_162_96]: (~iLEQ(suc(B_162_96), suc(B_163_99)) | ~E(s(s(0)), f(B_161_97)) | ~iLEQ(suc(B_161_97), suc(B_162_96)) | ~E(s(s(0)), f(B_160_98)) | ~E(s(s(0)), f(suc(B_162_96))) | ~E(s(s(0)), f(suc(B_160_98))) | ~E(s(s(0)), f(suc(B_161_97))) | ~iLEQ(suc(B_158_95), suc(B_160_98)) | ~E(s(s(0)), f(B_163_99)) | ~E(s(s(0)), f(B_162_96)) | ~E(s(s(0)), f(suc(B_158_95))) | ~iLEQ(suc(B_160_98), suc(B_161_97)) | ~E(s(s(0)), f(suc(B_163_99))) | ~E(s(s(0)), f(B_158_95)) | LE(f(B_158_95), s(s(0))))), inference(resolution, [status(thm)], [c_58, c_152])).
% 4.63/2.33 tff(c_381, plain, (![B_161_100, B_158_101, B_160_102, B_158_103]: (~E(s(s(0)), f(B_161_100)) | ~iLEQ(suc(B_161_100), suc(B_158_101)) | ~E(s(s(0)), f(B_160_102)) | ~E(s(s(0)), f(suc(B_160_102))) | ~E(s(s(0)), f(suc(B_161_100))) | ~iLEQ(suc(B_158_103), suc(B_160_102)) | ~E(s(s(0)), f(suc(B_158_103))) | ~iLEQ(suc(B_160_102), suc(B_161_100)) | ~E(s(s(0)), f(suc(B_158_101))) | ~E(s(s(0)), f(B_158_103)) | LE(f(B_158_103), s(s(0))) | ~E(s(s(0)), f(B_158_101)) | LE(f(B_158_101), s(s(0))))), inference(resolution, [status(thm)], [c_58, c_356])).
% 4.63/2.33 tff(c_406, plain, (![B_160_104, B_158_105, B_158_106]: (~E(s(s(0)), f(B_160_104)) | ~E(s(s(0)), f(suc(B_160_104))) | ~iLEQ(suc(B_158_105), suc(B_160_104)) | ~E(s(s(0)), f(suc(B_158_105))) | ~iLEQ(suc(B_160_104), suc(B_158_106)) | ~E(s(s(0)), f(suc(B_158_106))) | ~E(s(s(0)), f(B_158_105)) | LE(f(B_158_105), s(s(0))) | ~E(s(s(0)), f(B_158_106)) | LE(f(B_158_106), s(s(0))))), inference(resolution, [status(thm)], [c_58, c_381])).
% 4.63/2.33 tff(c_417, plain, (![B_158_107, B_158_108, B_158_109]: (~E(s(s(0)), f(B_158_107)) | ~iLEQ(suc(B_158_108), suc(B_158_107)) | ~E(s(s(0)), f(suc(B_158_108))) | ~iLEQ(suc(B_158_107), suc(B_158_109)) | ~E(s(s(0)), f(suc(B_158_109))) | ~E(s(s(0)), f(B_158_108)) | LE(f(B_158_108), s(s(0))) | ~E(s(s(0)), f(B_158_109)) | LE(f(B_158_109), s(s(0))) | LE(f(B_158_107), s(s(0))))), inference(resolution, [status(thm)], [c_30, c_406])).
% 4.63/2.33 tff(c_442, plain, (![B_158_110, B_158_111]: (~E(s(s(0)), f(suc(B_158_110))) | ~iLEQ(suc(B_158_110), suc(B_158_111)) | ~E(s(s(0)), f(suc(B_158_111))) | ~E(s(s(0)), f(B_158_111)) | LE(f(B_158_111), s(s(0))) | ~E(s(s(0)), f(B_158_110)) | LE(f(B_158_110), s(s(0))))), inference(resolution, [status(thm)], [c_58, c_417])).
% 4.63/2.33 tff(c_453, plain, (![B_158_112, B_158_113]: (~iLEQ(suc(B_158_112), suc(B_158_113)) | ~E(s(s(0)), f(suc(B_158_113))) | ~E(s(s(0)), f(B_158_113)) | LE(f(B_158_113), s(s(0))) | ~E(s(s(0)), f(B_158_112)) | LE(f(B_158_112), s(s(0))))), inference(resolution, [status(thm)], [c_30, c_442])).
% 4.63/2.33 tff(c_503, plain, (![B_158_118]: (~E(s(s(0)), f(suc(B_158_118))) | ~E(s(s(0)), f(B_158_118)) | LE(f(B_158_118), s(s(0))))), inference(resolution, [status(thm)], [c_58, c_453])).
% 4.63/2.33 tff(c_516, plain, (![B_158_119]: (~E(s(s(0)), f(B_158_119)) | LE(f(B_158_119), s(s(0))))), inference(resolution, [status(thm)], [c_30, c_503])).
% 4.63/2.33 tff(c_4, plain, (![B_228_7]: (LE(f(B_228_7), s(0)) | E(s(0), f(B_228_7)) | ~LE(f(B_228_7), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_81])).
% 4.63/2.33 tff(c_525, plain, (![B_158_120]: (LE(f(B_158_120), s(0)) | E(s(0), f(B_158_120)) | ~E(s(s(0)), f(B_158_120)))), inference(resolution, [status(thm)], [c_516, c_4])).
% 4.63/2.33 tff(c_551, plain, (![B_158_122]: (LE(f(B_158_122), s(0)) | E(s(0), f(B_158_122)))), inference(resolution, [status(thm)], [c_43, c_525])).
% 4.63/2.33 tff(c_8, plain, (![B_253_9]: (LE(f(B_253_9), 0) | E(0, f(B_253_9)) | ~LE(f(B_253_9), s(0)))), inference(cnfTransformation, [status(thm)], [f_96])).
% 4.63/2.33 tff(c_559, plain, (![B_158_122]: (LE(f(B_158_122), 0) | E(0, f(B_158_122)) | E(s(0), f(B_158_122)))), inference(resolution, [status(thm)], [c_551, c_8])).
% 4.63/2.33 tff(c_45, plain, (![B_228_37]: (LE(f(B_228_37), s(0)) | E(s(0), f(suc(B_228_37))) | ~LE(f(suc(B_228_37)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_187])).
% 4.63/2.33 tff(c_49, plain, (![B_228_37]: (LE(f(B_228_37), s(0)) | E(s(0), f(suc(B_228_37))) | E(s(s(0)), f(suc(B_228_37))))), inference(resolution, [status(thm)], [c_32, c_45])).
% 4.63/2.33 tff(c_24, plain, (![B_228_21]: (LE(f(B_228_21), s(0)) | E(s(0), f(suc(B_228_21))) | ~LE(f(suc(B_228_21)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_187])).
% 4.63/2.33 tff(c_538, plain, (![B_228_121]: (LE(f(B_228_121), s(0)) | E(s(0), f(suc(B_228_121))) | ~E(s(s(0)), f(suc(B_228_121))))), inference(resolution, [status(thm)], [c_516, c_24])).
% 4.63/2.33 tff(c_548, plain, (![B_228_37]: (LE(f(B_228_37), s(0)) | E(s(0), f(suc(B_228_37))))), inference(resolution, [status(thm)], [c_49, c_538])).
% 4.63/2.33 tff(c_560, plain, (![B_228_123]: (LE(f(B_228_123), s(0)) | E(s(0), f(suc(B_228_123))))), inference(resolution, [status(thm)], [c_49, c_538])).
% 4.63/2.33 tff(c_26, plain, (![A_2_22]: (iLEQ(suc(A_2_22), suc(A_2_22)) | ~E(s(0), f(suc(A_2_22))) | ~E(s(0), f(A_2_22)))), inference(cnfTransformation, [status(thm)], [f_195])).
% 4.63/2.33 tff(c_563, plain, (![B_228_123]: (iLEQ(suc(B_228_123), suc(B_228_123)) | ~E(s(0), f(B_228_123)) | LE(f(B_228_123), s(0)))), inference(resolution, [status(thm)], [c_560, c_26])).
% 4.63/2.33 tff(c_573, plain, (![B_228_126]: (iLEQ(suc(B_228_126), suc(B_228_126)) | ~E(s(0), f(B_228_126)) | LE(f(B_228_126), s(0)))), inference(resolution, [status(thm)], [c_560, c_26])).
% 4.63/2.33 tff(c_2, plain, (![B_230_6, B_231_5, B_232_2, B_229_3, A_2_4, B_233_1]: (~iLEQ(suc(B_231_5), suc(B_232_2)) | ~E(s(0), f(A_2_4)) | ~iLEQ(suc(B_232_2), suc(B_233_1)) | ~E(s(0), f(suc(B_230_6))) | ~E(s(0), f(B_230_6)) | ~E(s(0), f(suc(B_231_5))) | ~iLEQ(suc(B_229_3), suc(B_230_6)) | ~iLEQ(suc(A_2_4), suc(B_229_3)) | ~E(s(0), f(B_231_5)) | ~E(s(0), f(B_233_1)) | ~E(s(0), f(B_232_2)) | ~E(s(0), f(suc(B_229_3))) | ~E(s(0), f(suc(A_2_4))) | ~E(s(0), f(B_229_3)) | ~iLEQ(suc(B_230_6), suc(B_231_5)) | ~E(s(0), f(suc(B_232_2))) | ~E(s(0), f(suc(B_233_1))))), inference(cnfTransformation, [status(thm)], [f_74])).
% 4.63/2.33 tff(c_594, plain, (![B_233_130, B_230_129, B_228_132, B_229_133, A_2_131]: (~E(s(0), f(A_2_131)) | ~iLEQ(suc(B_228_132), suc(B_233_130)) | ~E(s(0), f(suc(B_230_129))) | ~E(s(0), f(B_230_129)) | ~iLEQ(suc(B_229_133), suc(B_230_129)) | ~iLEQ(suc(A_2_131), suc(B_229_133)) | ~E(s(0), f(B_233_130)) | ~E(s(0), f(suc(B_229_133))) | ~E(s(0), f(suc(A_2_131))) | ~E(s(0), f(B_229_133)) | ~iLEQ(suc(B_230_129), suc(B_228_132)) | ~E(s(0), f(suc(B_228_132))) | ~E(s(0), f(suc(B_233_130))) | ~E(s(0), f(B_228_132)) | LE(f(B_228_132), s(0)))), inference(resolution, [status(thm)], [c_573, c_2])).
% 4.63/2.33 tff(c_604, plain, (![A_2_134, B_230_135, B_229_136, B_228_137]: (~E(s(0), f(A_2_134)) | ~E(s(0), f(suc(B_230_135))) | ~E(s(0), f(B_230_135)) | ~iLEQ(suc(B_229_136), suc(B_230_135)) | ~iLEQ(suc(A_2_134), suc(B_229_136)) | ~E(s(0), f(suc(B_229_136))) | ~E(s(0), f(suc(A_2_134))) | ~E(s(0), f(B_229_136)) | ~iLEQ(suc(B_230_135), suc(B_228_137)) | ~E(s(0), f(suc(B_228_137))) | ~E(s(0), f(B_228_137)) | LE(f(B_228_137), s(0)))), inference(resolution, [status(thm)], [c_563, c_594])).
% 4.63/2.33 tff(c_625, plain, (![A_2_143, B_228_144, B_229_145, B_228_146]: (~E(s(0), f(A_2_143)) | ~E(s(0), f(B_228_144)) | ~iLEQ(suc(B_229_145), suc(B_228_144)) | ~iLEQ(suc(A_2_143), suc(B_229_145)) | ~E(s(0), f(suc(B_229_145))) | ~E(s(0), f(suc(A_2_143))) | ~E(s(0), f(B_229_145)) | ~iLEQ(suc(B_228_144), suc(B_228_146)) | ~E(s(0), f(suc(B_228_146))) | ~E(s(0), f(B_228_146)) | LE(f(B_228_146), s(0)) | LE(f(B_228_144), s(0)))), inference(resolution, [status(thm)], [c_548, c_604])).
% 4.63/2.33 tff(c_635, plain, (![A_2_147, B_228_148, B_228_149]: (~E(s(0), f(A_2_147)) | ~iLEQ(suc(A_2_147), suc(B_228_148)) | ~E(s(0), f(suc(B_228_148))) | ~E(s(0), f(suc(A_2_147))) | ~iLEQ(suc(B_228_148), suc(B_228_149)) | ~E(s(0), f(suc(B_228_149))) | ~E(s(0), f(B_228_149)) | LE(f(B_228_149), s(0)) | ~E(s(0), f(B_228_148)) | LE(f(B_228_148), s(0)))), inference(resolution, [status(thm)], [c_563, c_625])).
% 4.63/2.33 tff(c_645, plain, (![B_228_150, B_228_151]: (~E(s(0), f(suc(B_228_150))) | ~iLEQ(suc(B_228_150), suc(B_228_151)) | ~E(s(0), f(suc(B_228_151))) | ~E(s(0), f(B_228_151)) | LE(f(B_228_151), s(0)) | ~E(s(0), f(B_228_150)) | LE(f(B_228_150), s(0)))), inference(resolution, [status(thm)], [c_563, c_635])).
% 4.63/2.33 tff(c_656, plain, (![B_228_152, B_228_153]: (~iLEQ(suc(B_228_152), suc(B_228_153)) | ~E(s(0), f(suc(B_228_153))) | ~E(s(0), f(B_228_153)) | LE(f(B_228_153), s(0)) | ~E(s(0), f(B_228_152)) | LE(f(B_228_152), s(0)))), inference(resolution, [status(thm)], [c_548, c_645])).
% 4.63/2.33 tff(c_666, plain, (![B_228_154]: (~E(s(0), f(suc(B_228_154))) | ~E(s(0), f(B_228_154)) | LE(f(B_228_154), s(0)))), inference(resolution, [status(thm)], [c_563, c_656])).
% 4.63/2.33 tff(c_679, plain, (![B_228_155]: (~E(s(0), f(B_228_155)) | LE(f(B_228_155), s(0)))), inference(resolution, [status(thm)], [c_548, c_666])).
% 4.63/2.33 tff(c_688, plain, (![B_228_156]: (LE(f(B_228_156), 0) | E(0, f(B_228_156)) | ~E(s(0), f(B_228_156)))), inference(resolution, [status(thm)], [c_679, c_8])).
% 4.63/2.33 tff(c_701, plain, (![B_158_157]: (LE(f(B_158_157), 0) | E(0, f(B_158_157)))), inference(resolution, [status(thm)], [c_559, c_688])).
% 4.63/2.33 tff(c_16, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_115])).
% 4.63/2.33 tff(c_705, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_701, c_16])).
% 4.63/2.33 tff(c_22, plain, (![B_253_20]: (LE(f(B_253_20), 0) | E(0, f(suc(B_253_20))) | ~LE(f(suc(B_253_20)), s(0)))), inference(cnfTransformation, [status(thm)], [f_180])).
% 4.63/2.33 tff(c_558, plain, (![B_253_20]: (LE(f(B_253_20), 0) | E(0, f(suc(B_253_20))) | E(s(0), f(suc(B_253_20))))), inference(resolution, [status(thm)], [c_551, c_22])).
% 4.63/2.33 tff(c_706, plain, (![B_253_158]: (LE(f(B_253_158), 0) | E(0, f(suc(B_253_158))) | ~E(s(0), f(suc(B_253_158))))), inference(resolution, [status(thm)], [c_679, c_22])).
% 4.63/2.33 tff(c_715, plain, (![B_253_159]: (LE(f(B_253_159), 0) | E(0, f(suc(B_253_159))))), inference(resolution, [status(thm)], [c_558, c_706])).
% 4.63/2.33 tff(c_6, plain, (![A_3_8]: (iLEQ(suc(A_3_8), suc(A_3_8)) | ~E(0, f(suc(A_3_8))) | ~E(0, f(A_3_8)))), inference(cnfTransformation, [status(thm)], [f_89])).
% 4.63/2.33 tff(c_79, plain, (![A_3_43, B_254_44, B_256_47, B_258_46, B_255_45, B_257_48]: (~E(0, f(B_257_48)) | ~E(0, f(B_256_47)) | ~E(0, f(suc(B_258_46))) | ~E(0, f(suc(B_255_45))) | ~iLEQ(suc(B_257_48), suc(B_258_46)) | ~E(0, f(suc(B_256_47))) | ~E(0, f(suc(A_3_43))) | ~iLEQ(suc(B_254_44), suc(B_255_45)) | ~E(0, f(suc(B_254_44))) | ~E(0, f(B_255_45)) | ~E(0, f(A_3_43)) | ~iLEQ(suc(B_256_47), suc(B_257_48)) | ~E(0, f(B_258_46)) | ~iLEQ(suc(B_255_45), suc(B_256_47)) | ~E(0, f(suc(B_257_48))) | ~E(0, f(B_254_44)) | ~iLEQ(suc(A_3_43), suc(B_254_44)))), inference(cnfTransformation, [status(thm)], [f_246])).
% 4.63/2.33 tff(c_198, plain, (![B_255_72, B_254_70, B_256_71, A_3_73, A_3_74]: (~E(0, f(B_256_71)) | ~E(0, f(suc(B_255_72))) | ~E(0, f(suc(B_256_71))) | ~E(0, f(suc(A_3_73))) | ~iLEQ(suc(B_254_70), suc(B_255_72)) | ~E(0, f(suc(B_254_70))) | ~E(0, f(B_255_72)) | ~E(0, f(A_3_73)) | ~iLEQ(suc(B_256_71), suc(A_3_74)) | ~iLEQ(suc(B_255_72), suc(B_256_71)) | ~E(0, f(B_254_70)) | ~iLEQ(suc(A_3_73), suc(B_254_70)) | ~E(0, f(suc(A_3_74))) | ~E(0, f(A_3_74)))), inference(resolution, [status(thm)], [c_6, c_79])).
% 4.63/2.33 tff(c_236, plain, (![B_256_76, A_3_77, A_3_78, A_3_79]: (~E(0, f(B_256_76)) | ~E(0, f(suc(B_256_76))) | ~E(0, f(suc(A_3_77))) | ~E(0, f(A_3_77)) | ~iLEQ(suc(B_256_76), suc(A_3_78)) | ~iLEQ(suc(A_3_79), suc(B_256_76)) | ~iLEQ(suc(A_3_77), suc(A_3_79)) | ~E(0, f(suc(A_3_78))) | ~E(0, f(A_3_78)) | ~E(0, f(suc(A_3_79))) | ~E(0, f(A_3_79)))), inference(resolution, [status(thm)], [c_6, c_198])).
% 4.63/2.33 tff(c_264, plain, (![A_3_80, A_3_81, A_3_82]: (~E(0, f(suc(A_3_80))) | ~E(0, f(A_3_80)) | ~iLEQ(suc(A_3_81), suc(A_3_82)) | ~iLEQ(suc(A_3_80), suc(A_3_81)) | ~E(0, f(suc(A_3_81))) | ~E(0, f(A_3_81)) | ~E(0, f(suc(A_3_82))) | ~E(0, f(A_3_82)))), inference(resolution, [status(thm)], [c_6, c_236])).
% 4.63/2.33 tff(c_292, plain, (![A_3_83, A_3_84]: (~E(0, f(suc(A_3_83))) | ~E(0, f(A_3_83)) | ~iLEQ(suc(A_3_83), suc(A_3_84)) | ~E(0, f(suc(A_3_84))) | ~E(0, f(A_3_84)))), inference(resolution, [status(thm)], [c_6, c_264])).
% 4.63/2.33 tff(c_328, plain, (![A_3_8]: (~E(0, f(suc(A_3_8))) | ~E(0, f(A_3_8)))), inference(resolution, [status(thm)], [c_6, c_292])).
% 4.63/2.33 tff(c_720, plain, (![B_253_160]: (~E(0, f(B_253_160)) | LE(f(B_253_160), 0))), inference(resolution, [status(thm)], [c_715, c_328])).
% 4.63/2.33 tff(c_723, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_720, c_16])).
% 4.63/2.33 tff(c_727, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_705, c_723])).
% 4.63/2.33 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.63/2.33
% 4.63/2.33 Inference rules
% 4.63/2.33 ----------------------
% 4.63/2.33 #Ref : 0
% 4.63/2.33 #Sup : 193
% 4.63/2.33 #Fact : 0
% 4.63/2.33 #Define : 0
% 4.63/2.33 #Split : 0
% 4.63/2.33 #Chain : 0
% 4.63/2.33 #Close : 0
% 4.63/2.33
% 4.63/2.33 Ordering : KBO
% 4.63/2.33
% 4.63/2.33 Simplification rules
% 4.63/2.33 ----------------------
% 4.63/2.33 #Subsume : 104
% 4.63/2.33 #Demod : 3
% 4.63/2.33 #Tautology : 33
% 4.63/2.33 #SimpNegUnit : 0
% 4.63/2.33 #BackRed : 0
% 4.63/2.33
% 4.63/2.33 #Partial instantiations: 0
% 4.63/2.33 #Strategies tried : 1
% 4.63/2.33
% 4.63/2.33 Timing (in seconds)
% 4.63/2.33 ----------------------
% 4.63/2.34 Preprocessing : 0.54
% 4.63/2.34 Parsing : 0.30
% 4.63/2.34 CNF conversion : 0.03
% 4.63/2.34 Main loop : 0.69
% 4.63/2.34 Inferencing : 0.23
% 4.63/2.34 Reduction : 0.14
% 4.63/2.34 Demodulation : 0.10
% 4.63/2.34 BG Simplification : 0.03
% 4.63/2.34 Subsumption : 0.26
% 4.63/2.34 Abstraction : 0.02
% 4.63/2.34 MUC search : 0.00
% 4.63/2.34 Cooper : 0.00
% 4.63/2.34 Total : 1.30
% 4.63/2.34 Index Insertion : 0.00
% 4.63/2.34 Index Deletion : 0.00
% 4.63/2.34 Index Matching : 0.00
% 4.63/2.34 BG Taut test : 0.00
%------------------------------------------------------------------------------