TSTP Solution File: SYO661-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO661-1 : 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 : 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 7.77s 2.85s
% Output : CNFRefutation 8.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO661-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.36 % 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 16:02:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 7.77/2.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.77/2.86
% 7.77/2.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.18/2.88 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 8.18/2.88
% 8.18/2.88 %Foreground sorts:
% 8.18/2.88
% 8.18/2.88
% 8.18/2.88 %Background operators:
% 8.18/2.88
% 8.18/2.88
% 8.18/2.88 %Foreground operators:
% 8.18/2.88 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 8.18/2.88 tff(s, type, s: $i > $i).
% 8.18/2.88 tff(f, type, f: $i > $i).
% 8.18/2.88 tff(0, type, 0: $i).
% 8.18/2.88 tff(LE, type, LE: ($i * $i) > $o).
% 8.18/2.88 tff(suc, type, suc: $i > $i).
% 8.18/2.88 tff(z, type, z: $i).
% 8.18/2.88 tff(E, type, E: ($i * $i) > $o).
% 8.18/2.88
% 8.30/2.91 tff(f_140, axiom, (![A]: LE(f(A), s(s(0)))), file('unknown', unknown)).
% 8.30/2.91 tff(f_607, axiom, (![B_10]: ((~LE(f(B_10), s(s(0))) | E(s(0), f(B_10))) | LE(f(B_10), s(0)))), file('unknown', unknown)).
% 8.30/2.91 tff(f_161, axiom, (![B_17]: ((~LE(f(B_17), s(0)) | E(0, f(B_17))) | LE(f(B_17), 0))), file('unknown', unknown)).
% 8.30/2.91 tff(f_147, axiom, (![B_10]: ((~LE(f(suc(B_10)), s(s(0))) | E(s(0), f(suc(B_10)))) | LE(f(B_10), s(0)))), file('unknown', unknown)).
% 8.30/2.91 tff(f_566, axiom, (![B_10]: ((~LE(f(suc(suc(B_10))), s(s(0))) | E(s(0), f(suc(suc(B_10))))) | LE(f(B_10), s(0)))), file('unknown', unknown)).
% 8.30/2.91 tff(f_171, 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)).
% 8.30/2.91 tff(f_693, 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)).
% 8.30/2.91 tff(f_96, axiom, (![B_11, B_12, A_1]: ((((((((((~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(B_12)))) | ~E(s(0), f(suc(A_1)))) | ~E(s(0), f(B_11))) | ~iLEQ(suc(A_1), suc(B_11))) | ~iLEQ(suc(B_11), suc(B_12))) | E(f(A_1), f(suc(A_1)))) | E(f(B_11), f(suc(B_11)))) | E(f(B_12), f(suc(B_12))))), file('unknown', unknown)).
% 8.30/2.91 tff(f_138, axiom, (![B_11, B_12, A_1]: (((((((((((((~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12))) | ~E(s(0), f(suc(suc(A_1))))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(B_12)))) | ~E(s(0), f(suc(A_1)))) | ~E(s(0), f(suc(suc(B_12))))) | ~E(f(B_12), f(suc(B_12)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(0), f(suc(suc(B_11))))) | ~E(s(0), f(B_11))) | ~E(f(B_11), f(suc(B_11)))) | ~iLEQ(suc(A_1), suc(B_11))) | ~iLEQ(suc(B_11), suc(B_12)))), file('unknown', unknown)).
% 8.30/2.91 tff(f_25, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 8.30/2.91 tff(f_154, axiom, (![B_17]: ((~LE(f(suc(B_17)), s(0)) | E(0, f(suc(B_17)))) | LE(f(B_17), 0))), file('unknown', unknown)).
% 8.30/2.91 tff(f_66, axiom, (![B_17]: ((~LE(f(suc(suc(B_17))), s(0)) | E(0, f(suc(suc(B_17))))) | LE(f(B_17), 0))), file('unknown', unknown)).
% 8.30/2.91 tff(f_325, 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)).
% 8.30/2.91 tff(f_559, 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)).
% 8.30/2.91 tff(f_507, axiom, (![A_2, B_19, B_18]: ((((((((((~E(0, f(suc(A_2))) | ~E(0, f(suc(B_19)))) | ~iLEQ(suc(B_18), suc(B_19))) | ~E(0, f(A_2))) | ~E(0, f(B_19))) | ~E(0, f(B_18))) | ~E(0, f(suc(B_18)))) | ~iLEQ(suc(A_2), suc(B_18))) | E(f(A_2), f(suc(A_2)))) | E(f(B_18), f(suc(B_18)))) | E(f(B_19), f(suc(B_19))))), file('unknown', unknown)).
% 8.30/2.91 tff(f_443, axiom, (![B_18, A_2, B_19]: (((((((((((((~E(0, f(suc(suc(B_18)))) | ~E(0, f(suc(A_2)))) | ~E(0, f(suc(suc(A_2))))) | ~E(0, f(suc(B_19)))) | ~iLEQ(suc(B_18), suc(B_19))) | ~E(0, f(A_2))) | ~E(0, f(B_19))) | ~E(0, f(suc(suc(B_19))))) | ~E(f(B_18), f(suc(B_18)))) | ~E(0, f(B_18))) | ~E(0, f(suc(B_18)))) | ~E(f(B_19), f(suc(B_19)))) | ~iLEQ(suc(A_2), suc(B_18))) | ~E(f(A_2), f(suc(A_2))))), file('unknown', unknown)).
% 8.30/2.91 tff(c_12, plain, (![A_11]: (LE(f(A_11), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_140])).
% 8.30/2.91 tff(c_50, plain, (![B_10_52]: (LE(f(B_10_52), s(0)) | E(s(0), f(B_10_52)) | ~LE(f(B_10_52), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_607])).
% 8.30/2.91 tff(c_60, plain, (![B_10_52]: (LE(f(B_10_52), s(0)) | E(s(0), f(B_10_52)))), inference(demodulation, [status(thm), theory('equality')], [c_12, c_50])).
% 8.30/2.91 tff(c_67, plain, (![B_17_64]: (LE(f(B_17_64), 0) | E(0, f(B_17_64)) | ~LE(f(B_17_64), s(0)))), inference(cnfTransformation, [status(thm)], [f_161])).
% 8.30/2.91 tff(c_71, plain, (![B_10_52]: (LE(f(B_10_52), 0) | E(0, f(B_10_52)) | E(s(0), f(B_10_52)))), inference(resolution, [status(thm)], [c_60, c_67])).
% 8.30/2.91 tff(c_14, plain, (![B_10_12]: (LE(f(B_10_12), s(0)) | E(s(0), f(suc(B_10_12))) | ~LE(f(suc(B_10_12)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_147])).
% 8.30/2.91 tff(c_62, plain, (![B_10_12]: (LE(f(B_10_12), s(0)) | E(s(0), f(suc(B_10_12))))), inference(demodulation, [status(thm), theory('equality')], [c_12, c_14])).
% 8.30/2.91 tff(c_46, plain, (![B_10_48]: (LE(f(B_10_48), s(0)) | E(s(0), f(suc(suc(B_10_48)))) | ~LE(f(suc(suc(B_10_48))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_566])).
% 8.30/2.91 tff(c_58, plain, (![B_10_48]: (LE(f(B_10_48), s(0)) | E(s(0), f(suc(suc(B_10_48)))))), inference(demodulation, [status(thm), theory('equality')], [c_12, c_46])).
% 8.30/2.91 tff(c_86, plain, (![A_1_71]: (iLEQ(suc(A_1_71), suc(A_1_71)) | E(f(A_1_71), f(suc(A_1_71))) | ~E(s(0), f(suc(A_1_71))) | ~E(s(0), f(A_1_71)))), inference(cnfTransformation, [status(thm)], [f_171])).
% 8.30/2.91 tff(c_102, plain, (![B_10_12]: (iLEQ(suc(B_10_12), suc(B_10_12)) | E(f(B_10_12), f(suc(B_10_12))) | ~E(s(0), f(B_10_12)) | LE(f(B_10_12), s(0)))), inference(resolution, [status(thm)], [c_62, c_86])).
% 8.30/2.91 tff(c_121, plain, (![A_1_78]: (iLEQ(suc(A_1_78), suc(A_1_78)) | ~E(s(0), f(A_1_78)) | ~E(f(A_1_78), f(suc(A_1_78))) | ~E(s(0), f(suc(A_1_78))) | ~E(s(0), f(suc(suc(A_1_78)))))), inference(cnfTransformation, [status(thm)], [f_693])).
% 8.30/2.91 tff(c_137, plain, (![B_10_79]: (~E(s(0), f(suc(B_10_79))) | ~E(s(0), f(suc(suc(B_10_79)))) | iLEQ(suc(B_10_79), suc(B_10_79)) | ~E(s(0), f(B_10_79)) | LE(f(B_10_79), s(0)))), inference(resolution, [status(thm)], [c_102, c_121])).
% 8.30/2.91 tff(c_156, plain, (![B_10_80]: (~E(s(0), f(suc(B_10_80))) | iLEQ(suc(B_10_80), suc(B_10_80)) | ~E(s(0), f(B_10_80)) | LE(f(B_10_80), s(0)))), inference(resolution, [status(thm)], [c_58, c_137])).
% 8.30/2.91 tff(c_172, plain, (![B_10_12]: (iLEQ(suc(B_10_12), suc(B_10_12)) | ~E(s(0), f(B_10_12)) | LE(f(B_10_12), s(0)))), inference(resolution, [status(thm)], [c_62, c_156])).
% 8.30/2.91 tff(c_230, plain, (![B_12_91, B_11_92, A_1_93]: (E(f(B_12_91), f(suc(B_12_91))) | E(f(B_11_92), f(suc(B_11_92))) | E(f(A_1_93), f(suc(A_1_93))) | ~iLEQ(suc(B_11_92), suc(B_12_91)) | ~iLEQ(suc(A_1_93), suc(B_11_92)) | ~E(s(0), f(B_11_92)) | ~E(s(0), f(suc(A_1_93))) | ~E(s(0), f(suc(B_12_91))) | ~E(s(0), f(A_1_93)) | ~E(s(0), f(B_12_91)) | ~E(s(0), f(suc(B_11_92))))), inference(cnfTransformation, [status(thm)], [f_96])).
% 8.30/2.91 tff(c_888, plain, (![B_10_149, A_1_150]: (E(f(B_10_149), f(suc(B_10_149))) | E(f(A_1_150), f(suc(A_1_150))) | ~iLEQ(suc(A_1_150), suc(B_10_149)) | ~E(s(0), f(suc(A_1_150))) | ~E(s(0), f(A_1_150)) | ~E(s(0), f(suc(B_10_149))) | ~E(s(0), f(B_10_149)) | LE(f(B_10_149), s(0)))), inference(resolution, [status(thm)], [c_172, c_230])).
% 8.30/2.91 tff(c_928, plain, (![B_10_151]: (E(f(B_10_151), f(suc(B_10_151))) | ~E(s(0), f(suc(B_10_151))) | ~E(s(0), f(B_10_151)) | LE(f(B_10_151), s(0)))), inference(resolution, [status(thm)], [c_172, c_888])).
% 8.30/2.91 tff(c_944, plain, (![B_10_12]: (E(f(B_10_12), f(suc(B_10_12))) | ~E(s(0), f(B_10_12)) | LE(f(B_10_12), s(0)))), inference(resolution, [status(thm)], [c_62, c_928])).
% 8.30/2.91 tff(c_1041, plain, (![B_11_159, B_12_160, A_1_161]: (~iLEQ(suc(B_11_159), suc(B_12_160)) | ~iLEQ(suc(A_1_161), suc(B_11_159)) | ~E(f(B_11_159), f(suc(B_11_159))) | ~E(s(0), f(B_11_159)) | ~E(s(0), f(suc(suc(B_11_159)))) | ~E(f(A_1_161), f(suc(A_1_161))) | ~E(f(B_12_160), f(suc(B_12_160))) | ~E(s(0), f(suc(suc(B_12_160)))) | ~E(s(0), f(suc(A_1_161))) | ~E(s(0), f(suc(B_12_160))) | ~E(s(0), f(A_1_161)) | ~E(s(0), f(suc(suc(A_1_161)))) | ~E(s(0), f(B_12_160)) | ~E(s(0), f(suc(B_11_159))))), inference(cnfTransformation, [status(thm)], [f_138])).
% 8.30/2.91 tff(c_1569, plain, (![A_1_187, B_10_188]: (~iLEQ(suc(A_1_187), suc(B_10_188)) | ~E(f(A_1_187), f(suc(A_1_187))) | ~E(f(B_10_188), f(suc(B_10_188))) | ~E(s(0), f(suc(suc(B_10_188)))) | ~E(s(0), f(suc(A_1_187))) | ~E(s(0), f(A_1_187)) | ~E(s(0), f(suc(suc(A_1_187)))) | ~E(s(0), f(suc(B_10_188))) | ~E(s(0), f(B_10_188)) | LE(f(B_10_188), s(0)))), inference(resolution, [status(thm)], [c_172, c_1041])).
% 8.30/2.91 tff(c_1609, plain, (![B_10_189]: (~E(f(B_10_189), f(suc(B_10_189))) | ~E(s(0), f(suc(suc(B_10_189)))) | ~E(s(0), f(suc(B_10_189))) | ~E(s(0), f(B_10_189)) | LE(f(B_10_189), s(0)))), inference(resolution, [status(thm)], [c_172, c_1569])).
% 8.30/2.91 tff(c_1637, plain, (![B_10_190]: (~E(s(0), f(suc(suc(B_10_190)))) | ~E(s(0), f(suc(B_10_190))) | ~E(s(0), f(B_10_190)) | LE(f(B_10_190), s(0)))), inference(resolution, [status(thm)], [c_944, c_1609])).
% 8.30/2.91 tff(c_1658, plain, (![B_10_191]: (~E(s(0), f(suc(B_10_191))) | ~E(s(0), f(B_10_191)) | LE(f(B_10_191), s(0)))), inference(resolution, [status(thm)], [c_58, c_1637])).
% 8.30/2.91 tff(c_1679, plain, (![B_10_192]: (~E(s(0), f(B_10_192)) | LE(f(B_10_192), s(0)))), inference(resolution, [status(thm)], [c_62, c_1658])).
% 8.30/2.91 tff(c_18, plain, (![B_17_14]: (LE(f(B_17_14), 0) | E(0, f(B_17_14)) | ~LE(f(B_17_14), s(0)))), inference(cnfTransformation, [status(thm)], [f_161])).
% 8.30/2.91 tff(c_1692, plain, (![B_10_193]: (LE(f(B_10_193), 0) | E(0, f(B_10_193)) | ~E(s(0), f(B_10_193)))), inference(resolution, [status(thm)], [c_1679, c_18])).
% 8.30/2.91 tff(c_1713, plain, (![B_10_194]: (LE(f(B_10_194), 0) | E(0, f(B_10_194)))), inference(resolution, [status(thm)], [c_71, c_1692])).
% 8.30/2.91 tff(c_2, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_25])).
% 8.30/2.91 tff(c_1717, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_1713, c_2])).
% 8.30/2.91 tff(c_73, plain, (![B_17_66]: (LE(f(B_17_66), 0) | E(0, f(suc(B_17_66))) | ~LE(f(suc(B_17_66)), s(0)))), inference(cnfTransformation, [status(thm)], [f_154])).
% 8.30/2.91 tff(c_77, plain, (![B_17_66]: (LE(f(B_17_66), 0) | E(0, f(suc(B_17_66))) | E(s(0), f(suc(B_17_66))))), inference(resolution, [status(thm)], [c_60, c_73])).
% 8.30/2.91 tff(c_16, plain, (![B_17_13]: (LE(f(B_17_13), 0) | E(0, f(suc(B_17_13))) | ~LE(f(suc(B_17_13)), s(0)))), inference(cnfTransformation, [status(thm)], [f_154])).
% 8.30/2.91 tff(c_1718, plain, (![B_17_195]: (LE(f(B_17_195), 0) | E(0, f(suc(B_17_195))) | ~E(s(0), f(suc(B_17_195))))), inference(resolution, [status(thm)], [c_1679, c_16])).
% 8.30/2.91 tff(c_1732, plain, (![B_17_66]: (LE(f(B_17_66), 0) | E(0, f(suc(B_17_66))))), inference(resolution, [status(thm)], [c_77, c_1718])).
% 8.30/2.91 tff(c_79, plain, (![B_17_68]: (LE(f(B_17_68), 0) | E(0, f(suc(suc(B_17_68)))) | ~LE(f(suc(suc(B_17_68))), s(0)))), inference(cnfTransformation, [status(thm)], [f_66])).
% 8.30/2.91 tff(c_83, plain, (![B_17_68]: (LE(f(B_17_68), 0) | E(0, f(suc(suc(B_17_68)))) | E(s(0), f(suc(suc(B_17_68)))))), inference(resolution, [status(thm)], [c_60, c_79])).
% 8.30/2.91 tff(c_6, plain, (![B_17_4]: (LE(f(B_17_4), 0) | E(0, f(suc(suc(B_17_4)))) | ~LE(f(suc(suc(B_17_4))), s(0)))), inference(cnfTransformation, [status(thm)], [f_66])).
% 8.30/2.91 tff(c_1740, plain, (![B_17_197]: (LE(f(B_17_197), 0) | E(0, f(suc(suc(B_17_197)))) | ~E(s(0), f(suc(suc(B_17_197)))))), inference(resolution, [status(thm)], [c_1679, c_6])).
% 8.30/2.91 tff(c_1750, plain, (![B_17_68]: (LE(f(B_17_68), 0) | E(0, f(suc(suc(B_17_68)))))), inference(resolution, [status(thm)], [c_83, c_1740])).
% 8.30/2.91 tff(c_1760, plain, (![B_17_200]: (LE(f(B_17_200), 0) | E(0, f(suc(suc(B_17_200)))))), inference(resolution, [status(thm)], [c_83, c_1740])).
% 8.30/2.91 tff(c_30, plain, (![A_2_28]: (iLEQ(suc(A_2_28), suc(A_2_28)) | E(f(A_2_28), f(suc(A_2_28))) | ~E(0, f(suc(A_2_28))) | ~E(0, f(A_2_28)))), inference(cnfTransformation, [status(thm)], [f_325])).
% 8.30/2.91 tff(c_105, plain, (![A_2_74]: (iLEQ(suc(A_2_74), suc(A_2_74)) | ~E(0, f(A_2_74)) | ~E(f(A_2_74), f(suc(A_2_74))) | ~E(0, f(suc(A_2_74))) | ~E(0, f(suc(suc(A_2_74)))))), inference(cnfTransformation, [status(thm)], [f_559])).
% 8.30/2.91 tff(c_117, plain, (![A_2_28]: (~E(0, f(suc(suc(A_2_28)))) | iLEQ(suc(A_2_28), suc(A_2_28)) | ~E(0, f(suc(A_2_28))) | ~E(0, f(A_2_28)))), inference(resolution, [status(thm)], [c_30, c_105])).
% 8.30/2.91 tff(c_1763, plain, (![B_17_200]: (iLEQ(suc(B_17_200), suc(B_17_200)) | ~E(0, f(suc(B_17_200))) | ~E(0, f(B_17_200)) | LE(f(B_17_200), 0))), inference(resolution, [status(thm)], [c_1760, c_117])).
% 8.30/2.91 tff(c_1764, plain, (![B_17_201]: (iLEQ(suc(B_17_201), suc(B_17_201)) | ~E(0, f(suc(B_17_201))) | ~E(0, f(B_17_201)) | LE(f(B_17_201), 0))), inference(resolution, [status(thm)], [c_1760, c_117])).
% 8.30/2.91 tff(c_40, plain, (![B_19_42, B_18_43, A_2_41]: (E(f(B_19_42), f(suc(B_19_42))) | E(f(B_18_43), f(suc(B_18_43))) | E(f(A_2_41), f(suc(A_2_41))) | ~iLEQ(suc(A_2_41), suc(B_18_43)) | ~E(0, f(suc(B_18_43))) | ~E(0, f(B_18_43)) | ~E(0, f(B_19_42)) | ~E(0, f(A_2_41)) | ~iLEQ(suc(B_18_43), suc(B_19_42)) | ~E(0, f(suc(B_19_42))) | ~E(0, f(suc(A_2_41))))), inference(cnfTransformation, [status(thm)], [f_507])).
% 8.30/2.91 tff(c_1838, plain, (![B_19_203, B_17_204]: (E(f(B_19_203), f(suc(B_19_203))) | E(f(B_17_204), f(suc(B_17_204))) | ~E(0, f(B_19_203)) | ~iLEQ(suc(B_17_204), suc(B_19_203)) | ~E(0, f(suc(B_19_203))) | ~E(0, f(suc(B_17_204))) | ~E(0, f(B_17_204)) | LE(f(B_17_204), 0))), inference(resolution, [status(thm)], [c_1764, c_40])).
% 8.30/2.91 tff(c_1844, plain, (![B_17_200]: (E(f(B_17_200), f(suc(B_17_200))) | ~E(0, f(suc(B_17_200))) | ~E(0, f(B_17_200)) | LE(f(B_17_200), 0))), inference(resolution, [status(thm)], [c_1763, c_1838])).
% 8.30/2.91 tff(c_1845, plain, (![B_17_205]: (E(f(B_17_205), f(suc(B_17_205))) | ~E(0, f(suc(B_17_205))) | ~E(0, f(B_17_205)) | LE(f(B_17_205), 0))), inference(resolution, [status(thm)], [c_1763, c_1838])).
% 8.30/2.91 tff(c_36, plain, (![A_2_36, B_18_35, B_19_37]: (~E(f(A_2_36), f(suc(A_2_36))) | ~iLEQ(suc(A_2_36), suc(B_18_35)) | ~E(f(B_19_37), f(suc(B_19_37))) | ~E(0, f(suc(B_18_35))) | ~E(0, f(B_18_35)) | ~E(f(B_18_35), f(suc(B_18_35))) | ~E(0, f(suc(suc(B_19_37)))) | ~E(0, f(B_19_37)) | ~E(0, f(A_2_36)) | ~iLEQ(suc(B_18_35), suc(B_19_37)) | ~E(0, f(suc(B_19_37))) | ~E(0, f(suc(suc(A_2_36)))) | ~E(0, f(suc(A_2_36))) | ~E(0, f(suc(suc(B_18_35)))))), inference(cnfTransformation, [status(thm)], [f_443])).
% 8.30/2.91 tff(c_2031, plain, (![B_17_244, B_18_245, B_19_246]: (~iLEQ(suc(B_17_244), suc(B_18_245)) | ~E(f(B_19_246), f(suc(B_19_246))) | ~E(0, f(suc(B_18_245))) | ~E(0, f(B_18_245)) | ~E(f(B_18_245), f(suc(B_18_245))) | ~E(0, f(suc(suc(B_19_246)))) | ~E(0, f(B_19_246)) | ~iLEQ(suc(B_18_245), suc(B_19_246)) | ~E(0, f(suc(B_19_246))) | ~E(0, f(suc(suc(B_17_244)))) | ~E(0, f(suc(suc(B_18_245)))) | ~E(0, f(suc(B_17_244))) | ~E(0, f(B_17_244)) | LE(f(B_17_244), 0))), inference(resolution, [status(thm)], [c_1845, c_36])).
% 8.30/2.91 tff(c_2038, plain, (![B_19_247, B_17_248]: (~E(f(B_19_247), f(suc(B_19_247))) | ~E(f(B_17_248), f(suc(B_17_248))) | ~E(0, f(suc(suc(B_19_247)))) | ~E(0, f(B_19_247)) | ~iLEQ(suc(B_17_248), suc(B_19_247)) | ~E(0, f(suc(B_19_247))) | ~E(0, f(suc(suc(B_17_248)))) | ~E(0, f(suc(B_17_248))) | ~E(0, f(B_17_248)) | LE(f(B_17_248), 0))), inference(resolution, [status(thm)], [c_1763, c_2031])).
% 8.30/2.91 tff(c_2051, plain, (![B_17_249, B_17_250]: (~E(f(B_17_249), f(suc(B_17_249))) | ~E(0, f(suc(suc(B_17_250)))) | ~iLEQ(suc(B_17_249), suc(B_17_250)) | ~E(0, f(suc(suc(B_17_249)))) | ~E(0, f(suc(B_17_249))) | ~E(0, f(B_17_249)) | LE(f(B_17_249), 0) | ~E(0, f(suc(B_17_250))) | ~E(0, f(B_17_250)) | LE(f(B_17_250), 0))), inference(resolution, [status(thm)], [c_1844, c_2038])).
% 8.30/2.91 tff(c_2064, plain, (![B_17_251, B_17_252]: (~E(0, f(suc(suc(B_17_251)))) | ~iLEQ(suc(B_17_252), suc(B_17_251)) | ~E(0, f(suc(suc(B_17_252)))) | ~E(0, f(suc(B_17_251))) | ~E(0, f(B_17_251)) | LE(f(B_17_251), 0) | ~E(0, f(suc(B_17_252))) | ~E(0, f(B_17_252)) | LE(f(B_17_252), 0))), inference(resolution, [status(thm)], [c_1844, c_2051])).
% 8.30/2.91 tff(c_2072, plain, (![B_17_253, B_17_254]: (~iLEQ(suc(B_17_253), suc(B_17_254)) | ~E(0, f(suc(suc(B_17_253)))) | ~E(0, f(suc(B_17_254))) | ~E(0, f(B_17_254)) | ~E(0, f(suc(B_17_253))) | ~E(0, f(B_17_253)) | LE(f(B_17_253), 0) | LE(f(B_17_254), 0))), inference(resolution, [status(thm)], [c_1750, c_2064])).
% 8.30/2.91 tff(c_2079, plain, (![B_17_255]: (~E(0, f(suc(suc(B_17_255)))) | ~E(0, f(suc(B_17_255))) | ~E(0, f(B_17_255)) | LE(f(B_17_255), 0))), inference(resolution, [status(thm)], [c_1763, c_2072])).
% 8.30/2.91 tff(c_2088, plain, (![B_17_256]: (~E(0, f(suc(B_17_256))) | ~E(0, f(B_17_256)) | LE(f(B_17_256), 0))), inference(resolution, [status(thm)], [c_1750, c_2079])).
% 8.30/2.91 tff(c_2097, plain, (![B_17_257]: (~E(0, f(B_17_257)) | LE(f(B_17_257), 0))), inference(resolution, [status(thm)], [c_1732, c_2088])).
% 8.30/2.91 tff(c_2100, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_2097, c_2])).
% 8.30/2.91 tff(c_2104, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_1717, c_2100])).
% 8.30/2.91 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.30/2.91
% 8.30/2.91 Inference rules
% 8.30/2.91 ----------------------
% 8.30/2.91 #Ref : 0
% 8.30/2.91 #Sup : 606
% 8.30/2.91 #Fact : 0
% 8.30/2.91 #Define : 0
% 8.30/2.91 #Split : 0
% 8.30/2.91 #Chain : 0
% 8.30/2.91 #Close : 0
% 8.30/2.91
% 8.30/2.91 Ordering : KBO
% 8.30/2.91
% 8.30/2.91 Simplification rules
% 8.30/2.91 ----------------------
% 8.30/2.91 #Subsume : 426
% 8.30/2.91 #Demod : 4
% 8.30/2.91 #Tautology : 138
% 8.30/2.91 #SimpNegUnit : 0
% 8.30/2.91 #BackRed : 0
% 8.30/2.91
% 8.30/2.91 #Partial instantiations: 0
% 8.30/2.91 #Strategies tried : 1
% 8.30/2.91
% 8.30/2.91 Timing (in seconds)
% 8.30/2.91 ----------------------
% 8.30/2.91 Preprocessing : 0.64
% 8.30/2.91 Parsing : 0.35
% 8.30/2.91 CNF conversion : 0.04
% 8.30/2.91 Main loop : 1.18
% 8.30/2.91 Inferencing : 0.35
% 8.30/2.91 Reduction : 0.23
% 8.30/2.91 Demodulation : 0.15
% 8.30/2.91 BG Simplification : 0.05
% 8.30/2.91 Subsumption : 0.51
% 8.30/2.91 Abstraction : 0.04
% 8.30/2.91 MUC search : 0.00
% 8.30/2.91 Cooper : 0.00
% 8.30/2.91 Total : 1.89
% 8.30/2.91 Index Insertion : 0.00
% 8.30/2.91 Index Deletion : 0.00
% 8.30/2.91 Index Matching : 0.00
% 8.30/2.91 BG Taut test : 0.00
%------------------------------------------------------------------------------