%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYO689-1 : 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 : n024.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 11:18:22 EDT 2023

% Result   : Unsatisfiable 12.41s 5.41s
% Output   : CNFRefutation 12.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO689-1 : TPTP v8.1.2. Released v7.3.0.
% 0.14/0.14  % 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
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 15:48:15 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 12.41/5.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.41/5.42  
% 12.41/5.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.56/5.44  %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 12.56/5.44  
% 12.56/5.44  %Foreground sorts:
% 12.56/5.44  
% 12.56/5.44  
% 12.56/5.44  %Background operators:
% 12.56/5.44  
% 12.56/5.44  
% 12.56/5.44  %Foreground operators:
% 12.56/5.44  tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 12.56/5.44  tff(s, type, s: $i > $i).
% 12.56/5.44  tff(f, type, f: $i > $i).
% 12.56/5.44  tff(0, type, 0: $i).
% 12.56/5.44  tff(LE, type, LE: ($i * $i) > $o).
% 12.56/5.44  tff(suc, type, suc: $i > $i).
% 12.56/5.44  tff(z, type, z: $i).
% 12.56/5.44  tff(E, type, E: ($i * $i) > $o).
% 12.56/5.44  
% 12.77/5.49  tff(f_92, axiom, (![A]: LE(f(A), s(s(s(s(s(0))))))), file('unknown', unknown)).
% 12.77/5.49  tff(f_312, axiom, (![B_585]: ((~LE(f(B_585), s(s(s(s(s(0)))))) | E(s(s(s(s(0)))), f(B_585))) | LE(f(B_585), s(s(s(s(0))))))), file('unknown', unknown)).
% 12.77/5.49  tff(f_188, axiom, (![B_906]: ((~LE(f(B_906), s(s(s(s(0))))) | E(s(s(s(0))), f(B_906))) | LE(f(B_906), s(s(s(0)))))), file('unknown', unknown)).
% 12.77/5.49  tff(f_334, axiom, (![B_585]: ((~LE(f(suc(B_585)), s(s(s(s(s(0)))))) | E(s(s(s(s(0)))), f(suc(B_585)))) | LE(f(B_585), s(s(s(s(0))))))), file('unknown', unknown)).
% 12.77/5.49  tff(f_31, axiom, (![A_1]: ((~E(s(s(s(s(0)))), f(A_1)) | ~E(s(s(s(s(0)))), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_290, axiom, (![B_587, A_1, B_588, B_589, B_586, B_590]: ((((((((((((((((~E(s(s(s(s(0)))), f(B_588)) | ~E(s(s(s(s(0)))), f(suc(B_588)))) | ~iLEQ(suc(B_586), suc(B_587))) | ~iLEQ(suc(B_588), suc(B_589))) | ~E(s(s(s(s(0)))), f(suc(B_587)))) | ~E(s(s(s(s(0)))), f(B_589))) | ~E(s(s(s(s(0)))), f(B_590))) | ~iLEQ(suc(B_587), suc(B_588))) | ~E(s(s(s(s(0)))), f(B_586))) | ~iLEQ(suc(B_589), suc(B_590))) | ~E(s(s(s(s(0)))), f(suc(B_590)))) | ~E(s(s(s(s(0)))), f(suc(A_1)))) | ~iLEQ(suc(A_1), suc(B_586))) | ~E(s(s(s(s(0)))), f(suc(B_586)))) | ~E(s(s(s(s(0)))), f(A_1))) | ~E(s(s(s(s(0)))), f(suc(B_589)))) | ~E(s(s(s(s(0)))), f(B_587)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_171, axiom, (![B_1066]: ((~LE(f(B_1066), s(s(s(0)))) | E(s(s(0)), f(B_1066))) | LE(f(B_1066), s(s(0))))), file('unknown', unknown)).
% 12.77/5.49  tff(f_305, axiom, (![B_906]: ((~LE(f(suc(B_906)), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(B_906)))) | LE(f(B_906), s(s(s(0)))))), file('unknown', unknown)).
% 12.77/5.49  tff(f_320, axiom, (![A_2]: ((~E(s(s(s(0))), f(A_2)) | ~E(s(s(s(0))), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_157, axiom, (![B_908, B_910, B_907, A_2, B_911, B_909]: ((((((((((((((((~E(s(s(s(0))), f(B_907)) | ~E(s(s(s(0))), f(suc(A_2)))) | ~E(s(s(s(0))), f(B_911))) | ~E(s(s(s(0))), f(B_910))) | ~iLEQ(suc(B_909), suc(B_910))) | ~E(s(s(s(0))), f(A_2))) | ~E(s(s(s(0))), f(suc(B_910)))) | ~E(s(s(s(0))), f(B_908))) | ~iLEQ(suc(A_2), suc(B_907))) | ~iLEQ(suc(B_908), suc(B_909))) | ~E(s(s(s(0))), f(suc(B_908)))) | ~E(s(s(s(0))), f(B_909))) | ~E(s(s(s(0))), f(suc(B_911)))) | ~E(s(s(s(0))), f(suc(B_907)))) | ~iLEQ(suc(B_910), suc(B_911))) | ~iLEQ(suc(B_907), suc(B_908))) | ~E(s(s(s(0))), f(suc(B_909))))), file('unknown', unknown)).
% 12.77/5.49  tff(f_99, axiom, (![B_1136]: ((~LE(f(B_1136), s(s(0))) | E(s(0), f(B_1136))) | LE(f(B_1136), s(0)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_106, axiom, (![B_1066]: ((~LE(f(suc(B_1066)), s(s(s(0)))) | E(s(s(0)), f(suc(B_1066)))) | LE(f(B_1066), s(s(0))))), file('unknown', unknown)).
% 12.77/5.49  tff(f_39, axiom, (![A_3]: ((~E(s(s(0)), f(A_3)) | ~E(s(s(0)), f(suc(A_3)))) | iLEQ(suc(A_3), suc(A_3)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_385, axiom, (![B_1069, B_1068, B_1070, A_3, B_1067, B_1071]: ((((((((((((((((~E(s(s(0)), f(B_1069)) | ~E(s(s(0)), f(suc(B_1067)))) | ~E(s(s(0)), f(B_1070))) | ~E(s(s(0)), f(B_1068))) | ~E(s(s(0)), f(suc(B_1068)))) | ~iLEQ(suc(B_1067), suc(B_1068))) | ~E(s(s(0)), f(suc(A_3)))) | ~E(s(s(0)), f(B_1067))) | ~iLEQ(suc(B_1068), suc(B_1069))) | ~E(s(s(0)), f(B_1071))) | ~iLEQ(suc(A_3), suc(B_1067))) | ~E(s(s(0)), f(suc(B_1069)))) | ~iLEQ(suc(B_1069), suc(B_1070))) | ~E(s(s(0)), f(suc(B_1071)))) | ~E(s(s(0)), f(suc(B_1070)))) | ~E(s(s(0)), f(A_3))) | ~iLEQ(suc(B_1070), suc(B_1071)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_164, axiom, (![B_1161]: ((~LE(f(B_1161), s(0)) | E(0, f(B_1161))) | LE(f(B_1161), 0))), file('unknown', unknown)).
% 12.77/5.49  tff(f_327, axiom, (![B_1136]: ((~LE(f(suc(B_1136)), s(s(0))) | E(s(0), f(suc(B_1136)))) | LE(f(B_1136), s(0)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_298, axiom, (![A_4]: ((~E(s(0), f(A_4)) | ~E(s(0), f(suc(A_4)))) | iLEQ(suc(A_4), suc(A_4)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_90, axiom, (![B_1140, B_1138, A_4, B_1141, B_1139, B_1137]: ((((((((((((((((~E(s(0), f(suc(B_1137))) | ~E(s(0), f(B_1140))) | ~E(s(0), f(suc(B_1139)))) | ~iLEQ(suc(B_1138), suc(B_1139))) | ~E(s(0), f(B_1141))) | ~E(s(0), f(B_1137))) | ~E(s(0), f(suc(B_1138)))) | ~iLEQ(suc(B_1137), suc(B_1138))) | ~iLEQ(suc(A_4), suc(B_1137))) | ~iLEQ(suc(B_1139), suc(B_1140))) | ~E(s(0), f(suc(B_1140)))) | ~iLEQ(suc(B_1140), suc(B_1141))) | ~E(s(0), f(suc(A_4)))) | ~E(s(0), f(suc(B_1141)))) | ~E(s(0), f(B_1139))) | ~E(s(0), f(A_4))) | ~E(s(0), f(B_1138)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_181, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 12.77/5.49  tff(f_392, axiom, (![B_1161]: ((~LE(f(suc(B_1161)), s(0)) | E(0, f(suc(B_1161)))) | LE(f(B_1161), 0))), file('unknown', unknown)).
% 12.77/5.49  tff(f_179, axiom, (![A_5]: ((~E(0, f(A_5)) | ~E(0, f(suc(A_5)))) | iLEQ(suc(A_5), suc(A_5)))), file('unknown', unknown)).
% 12.77/5.49  tff(f_239, axiom, (![B_1166, B_1165, B_1162, A_5, B_1164, B_1163]: ((((((((((((((((~E(0, f(B_1165)) | ~iLEQ(suc(B_1162), suc(B_1163))) | ~E(0, f(suc(B_1163)))) | ~iLEQ(suc(A_5), suc(B_1162))) | ~E(0, f(A_5))) | ~E(0, f(B_1162))) | ~E(0, f(B_1164))) | ~E(0, f(suc(A_5)))) | ~E(0, f(suc(B_1166)))) | ~E(0, f(B_1166))) | ~iLEQ(suc(B_1165), suc(B_1166))) | ~iLEQ(suc(B_1163), suc(B_1164))) | ~E(0, f(suc(B_1165)))) | ~E(0, f(suc(B_1164)))) | ~E(0, f(suc(B_1162)))) | ~iLEQ(suc(B_1164), suc(B_1165))) | ~E(0, f(B_1163)))), file('unknown', unknown)).
% 12.77/5.49  tff(c_8, plain, (![A_9]: (LE(f(A_9), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_92])).
% 12.77/5.49  tff(c_34, plain, (![B_585_36]: (LE(f(B_585_36), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(B_585_36)) | ~LE(f(B_585_36), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_312])).
% 12.77/5.49  tff(c_48, plain, (![B_585_36]: (LE(f(B_585_36), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(B_585_36)))), inference(demodulation, [status(thm), theory('equality')], [c_8, c_34])).
% 12.77/5.49  tff(c_66, plain, (![B_906_61]: (LE(f(B_906_61), s(s(s(0)))) | E(s(s(s(0))), f(B_906_61)) | ~LE(f(B_906_61), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_188])).
% 12.77/5.49  tff(c_70, plain, (![B_585_36]: (LE(f(B_585_36), s(s(s(0)))) | E(s(s(s(0))), f(B_585_36)) | E(s(s(s(s(0)))), f(B_585_36)))), inference(resolution, [status(thm)], [c_48, c_66])).
% 12.77/5.49  tff(c_40, plain, (![B_585_39]: (LE(f(B_585_39), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(B_585_39))) | ~LE(f(suc(B_585_39)), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_334])).
% 12.77/5.49  tff(c_46, plain, (![B_585_39]: (LE(f(B_585_39), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(B_585_39))))), inference(demodulation, [status(thm), theory('equality')], [c_8, c_40])).
% 12.77/5.49  tff(c_62, plain, (![A_1_60]: (iLEQ(suc(A_1_60), suc(A_1_60)) | ~E(s(s(s(s(0)))), f(suc(A_1_60))) | ~E(s(s(s(s(0)))), f(A_1_60)))), inference(cnfTransformation, [status(thm)], [f_31])).
% 12.77/5.49  tff(c_65, plain, (![B_585_39]: (iLEQ(suc(B_585_39), suc(B_585_39)) | ~E(s(s(s(s(0)))), f(B_585_39)) | LE(f(B_585_39), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_46, c_62])).
% 12.77/5.49  tff(c_254, plain, (![B_588_102, B_587_104, B_589_106, A_1_107, B_590_105, B_586_103]: (~E(s(s(s(s(0)))), f(B_587_104)) | ~E(s(s(s(s(0)))), f(suc(B_589_106))) | ~E(s(s(s(s(0)))), f(A_1_107)) | ~E(s(s(s(s(0)))), f(suc(B_586_103))) | ~iLEQ(suc(A_1_107), suc(B_586_103)) | ~E(s(s(s(s(0)))), f(suc(A_1_107))) | ~E(s(s(s(s(0)))), f(suc(B_590_105))) | ~iLEQ(suc(B_589_106), suc(B_590_105)) | ~E(s(s(s(s(0)))), f(B_586_103)) | ~iLEQ(suc(B_587_104), suc(B_588_102)) | ~E(s(s(s(s(0)))), f(B_590_105)) | ~E(s(s(s(s(0)))), f(B_589_106)) | ~E(s(s(s(s(0)))), f(suc(B_587_104))) | ~iLEQ(suc(B_588_102), suc(B_589_106)) | ~iLEQ(suc(B_586_103), suc(B_587_104)) | ~E(s(s(s(s(0)))), f(suc(B_588_102))) | ~E(s(s(s(s(0)))), f(B_588_102)))), inference(cnfTransformation, [status(thm)], [f_290])).
% 12.77/5.49  tff(c_597, plain, (![B_588_138, B_586_141, B_587_139, B_590_142, A_1_140, B_585_143]: (~E(s(s(s(s(0)))), f(B_587_139)) | ~E(s(s(s(s(0)))), f(A_1_140)) | ~E(s(s(s(s(0)))), f(suc(B_586_141))) | ~iLEQ(suc(A_1_140), suc(B_586_141)) | ~E(s(s(s(s(0)))), f(suc(A_1_140))) | ~E(s(s(s(s(0)))), f(suc(B_590_142))) | ~iLEQ(suc(B_585_143), suc(B_590_142)) | ~E(s(s(s(s(0)))), f(B_586_141)) | ~iLEQ(suc(B_587_139), suc(B_588_138)) | ~E(s(s(s(s(0)))), f(B_590_142)) | ~E(s(s(s(s(0)))), f(B_585_143)) | ~E(s(s(s(s(0)))), f(suc(B_587_139))) | ~iLEQ(suc(B_588_138), suc(B_585_143)) | ~iLEQ(suc(B_586_141), suc(B_587_139)) | ~E(s(s(s(s(0)))), f(suc(B_588_138))) | ~E(s(s(s(s(0)))), f(B_588_138)) | LE(f(B_585_143), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_46, c_254])).
% 12.77/5.49  tff(c_995, plain, (![B_588_166, B_585_167, A_1_165, B_590_164, B_587_163, B_585_168]: (~E(s(s(s(s(0)))), f(B_587_163)) | ~E(s(s(s(s(0)))), f(A_1_165)) | ~iLEQ(suc(A_1_165), suc(B_585_167)) | ~E(s(s(s(s(0)))), f(suc(A_1_165))) | ~E(s(s(s(s(0)))), f(suc(B_590_164))) | ~iLEQ(suc(B_585_168), suc(B_590_164)) | ~E(s(s(s(s(0)))), f(B_585_167)) | ~iLEQ(suc(B_587_163), suc(B_588_166)) | ~E(s(s(s(s(0)))), f(B_590_164)) | ~E(s(s(s(s(0)))), f(B_585_168)) | ~E(s(s(s(s(0)))), f(suc(B_587_163))) | ~iLEQ(suc(B_588_166), suc(B_585_168)) | ~iLEQ(suc(B_585_167), suc(B_587_163)) | ~E(s(s(s(s(0)))), f(suc(B_588_166))) | ~E(s(s(s(s(0)))), f(B_588_166)) | LE(f(B_585_168), s(s(s(s(0))))) | LE(f(B_585_167), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_46, c_597])).
% 12.77/5.49  tff(c_1622, plain, (![B_588_213, B_585_214, B_587_210, B_590_212, B_585_211]: (~E(s(s(s(s(0)))), f(B_587_210)) | ~E(s(s(s(s(0)))), f(suc(B_585_214))) | ~E(s(s(s(s(0)))), f(suc(B_590_212))) | ~iLEQ(suc(B_585_211), suc(B_590_212)) | ~iLEQ(suc(B_587_210), suc(B_588_213)) | ~E(s(s(s(s(0)))), f(B_590_212)) | ~E(s(s(s(s(0)))), f(B_585_211)) | ~E(s(s(s(s(0)))), f(suc(B_587_210))) | ~iLEQ(suc(B_588_213), suc(B_585_211)) | ~iLEQ(suc(B_585_214), suc(B_587_210)) | ~E(s(s(s(s(0)))), f(suc(B_588_213))) | ~E(s(s(s(s(0)))), f(B_588_213)) | LE(f(B_585_211), s(s(s(s(0))))) | ~E(s(s(s(s(0)))), f(B_585_214)) | LE(f(B_585_214), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_65, c_995])).
% 12.77/5.49  tff(c_2430, plain, (![B_588_267, B_585_265, B_590_263, B_585_266, B_587_264]: (~E(s(s(s(s(0)))), f(B_587_264)) | ~E(s(s(s(s(0)))), f(suc(B_590_263))) | ~iLEQ(suc(B_585_265), suc(B_590_263)) | ~iLEQ(suc(B_587_264), suc(B_588_267)) | ~E(s(s(s(s(0)))), f(B_590_263)) | ~E(s(s(s(s(0)))), f(B_585_265)) | ~E(s(s(s(s(0)))), f(suc(B_587_264))) | ~iLEQ(suc(B_588_267), suc(B_585_265)) | ~iLEQ(suc(B_585_266), suc(B_587_264)) | ~E(s(s(s(s(0)))), f(suc(B_588_267))) | ~E(s(s(s(s(0)))), f(B_588_267)) | LE(f(B_585_265), s(s(s(s(0))))) | ~E(s(s(s(s(0)))), f(B_585_266)) | LE(f(B_585_266), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_46, c_1622])).
% 12.77/5.49  tff(c_2441, plain, (![B_587_271, B_585_268, B_588_270, B_585_272, B_585_269]: (~E(s(s(s(s(0)))), f(B_587_271)) | ~iLEQ(suc(B_585_269), suc(B_585_272)) | ~iLEQ(suc(B_587_271), suc(B_588_270)) | ~E(s(s(s(s(0)))), f(B_585_272)) | ~E(s(s(s(s(0)))), f(B_585_269)) | ~E(s(s(s(s(0)))), f(suc(B_587_271))) | ~iLEQ(suc(B_588_270), suc(B_585_269)) | ~iLEQ(suc(B_585_268), suc(B_587_271)) | ~E(s(s(s(s(0)))), f(suc(B_588_270))) | ~E(s(s(s(s(0)))), f(B_588_270)) | LE(f(B_585_269), s(s(s(s(0))))) | ~E(s(s(s(s(0)))), f(B_585_268)) | LE(f(B_585_268), s(s(s(s(0))))) | LE(f(B_585_272), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_46, c_2430])).
% 12.77/5.49  tff(c_2523, plain, (![B_587_273, B_588_274, B_585_275, B_585_276]: (~E(s(s(s(s(0)))), f(B_587_273)) | ~iLEQ(suc(B_587_273), suc(B_588_274)) | ~E(s(s(s(s(0)))), f(suc(B_587_273))) | ~iLEQ(suc(B_588_274), suc(B_585_275)) | ~iLEQ(suc(B_585_276), suc(B_587_273)) | ~E(s(s(s(s(0)))), f(suc(B_588_274))) | ~E(s(s(s(s(0)))), f(B_588_274)) | ~E(s(s(s(s(0)))), f(B_585_276)) | LE(f(B_585_276), s(s(s(s(0))))) | ~E(s(s(s(s(0)))), f(B_585_275)) | LE(f(B_585_275), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_65, c_2441])).
% 12.77/5.49  tff(c_2605, plain, (![B_585_277, B_585_278, B_585_279]: (~iLEQ(suc(B_585_277), suc(B_585_278)) | ~iLEQ(suc(B_585_279), suc(B_585_277)) | ~E(s(s(s(s(0)))), f(suc(B_585_277))) | ~E(s(s(s(s(0)))), f(B_585_279)) | LE(f(B_585_279), s(s(s(s(0))))) | ~E(s(s(s(s(0)))), f(B_585_278)) | LE(f(B_585_278), s(s(s(s(0))))) | ~E(s(s(s(s(0)))), f(B_585_277)) | LE(f(B_585_277), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_65, c_2523])).
% 12.77/5.49  tff(c_2687, plain, (![B_585_280, B_585_281]: (~iLEQ(suc(B_585_280), suc(B_585_281)) | ~E(s(s(s(s(0)))), f(suc(B_585_281))) | ~E(s(s(s(s(0)))), f(B_585_280)) | LE(f(B_585_280), s(s(s(s(0))))) | ~E(s(s(s(s(0)))), f(B_585_281)) | LE(f(B_585_281), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_65, c_2605])).
% 12.77/5.49  tff(c_2769, plain, (![B_585_282]: (~E(s(s(s(s(0)))), f(suc(B_585_282))) | ~E(s(s(s(s(0)))), f(B_585_282)) | LE(f(B_585_282), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_65, c_2687])).
% 12.77/5.49  tff(c_2782, plain, (![B_585_283]: (~E(s(s(s(s(0)))), f(B_585_283)) | LE(f(B_585_283), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_46, c_2769])).
% 12.77/5.49  tff(c_24, plain, (![B_906_21]: (LE(f(B_906_21), s(s(s(0)))) | E(s(s(s(0))), f(B_906_21)) | ~LE(f(B_906_21), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_188])).
% 12.77/5.49  tff(c_2870, plain, (![B_585_290]: (LE(f(B_585_290), s(s(s(0)))) | E(s(s(s(0))), f(B_585_290)) | ~E(s(s(s(s(0)))), f(B_585_290)))), inference(resolution, [status(thm)], [c_2782, c_24])).
% 12.77/5.49  tff(c_2883, plain, (![B_585_291]: (LE(f(B_585_291), s(s(s(0)))) | E(s(s(s(0))), f(B_585_291)))), inference(resolution, [status(thm)], [c_70, c_2870])).
% 12.77/5.49  tff(c_18, plain, (![B_1066_19]: (LE(f(B_1066_19), s(s(0))) | E(s(s(0)), f(B_1066_19)) | ~LE(f(B_1066_19), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_171])).
% 12.77/5.49  tff(c_2891, plain, (![B_585_291]: (LE(f(B_585_291), s(s(0))) | E(s(s(0)), f(B_585_291)) | E(s(s(s(0))), f(B_585_291)))), inference(resolution, [status(thm)], [c_2883, c_18])).
% 12.77/5.49  tff(c_81, plain, (![B_906_64]: (LE(f(B_906_64), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_906_64))) | ~LE(f(suc(B_906_64)), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_305])).
% 12.77/5.49  tff(c_89, plain, (![B_906_64]: (LE(f(B_906_64), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_906_64))) | E(s(s(s(s(0)))), f(suc(B_906_64))))), inference(resolution, [status(thm)], [c_48, c_81])).
% 12.77/5.49  tff(c_32, plain, (![B_906_35]: (LE(f(B_906_35), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_906_35))) | ~LE(f(suc(B_906_35)), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_305])).
% 12.77/5.49  tff(c_2908, plain, (![B_906_294]: (LE(f(B_906_294), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_906_294))) | ~E(s(s(s(s(0)))), f(suc(B_906_294))))), inference(resolution, [status(thm)], [c_2782, c_32])).
% 12.77/5.49  tff(c_2915, plain, (![B_906_64]: (LE(f(B_906_64), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_906_64))))), inference(resolution, [status(thm)], [c_89, c_2908])).
% 12.77/5.49  tff(c_2917, plain, (![B_906_295]: (LE(f(B_906_295), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_906_295))))), inference(resolution, [status(thm)], [c_89, c_2908])).
% 12.77/5.49  tff(c_36, plain, (![A_2_37]: (iLEQ(suc(A_2_37), suc(A_2_37)) | ~E(s(s(s(0))), f(suc(A_2_37))) | ~E(s(s(s(0))), f(A_2_37)))), inference(cnfTransformation, [status(thm)], [f_320])).
% 12.77/5.49  tff(c_2923, plain, (![B_906_295]: (iLEQ(suc(B_906_295), suc(B_906_295)) | ~E(s(s(s(0))), f(B_906_295)) | LE(f(B_906_295), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2917, c_36])).
% 12.77/5.49  tff(c_14, plain, (![B_910_13, B_907_14, A_2_15, B_909_17, B_908_12, B_911_16]: (~E(s(s(s(0))), f(suc(B_909_17))) | ~iLEQ(suc(B_907_14), suc(B_908_12)) | ~iLEQ(suc(B_910_13), suc(B_911_16)) | ~E(s(s(s(0))), f(suc(B_907_14))) | ~E(s(s(s(0))), f(suc(B_911_16))) | ~E(s(s(s(0))), f(B_909_17)) | ~E(s(s(s(0))), f(suc(B_908_12))) | ~iLEQ(suc(B_908_12), suc(B_909_17)) | ~iLEQ(suc(A_2_15), suc(B_907_14)) | ~E(s(s(s(0))), f(B_908_12)) | ~E(s(s(s(0))), f(suc(B_910_13))) | ~E(s(s(s(0))), f(A_2_15)) | ~iLEQ(suc(B_909_17), suc(B_910_13)) | ~E(s(s(s(0))), f(B_910_13)) | ~E(s(s(s(0))), f(B_911_16)) | ~E(s(s(s(0))), f(suc(A_2_15))) | ~E(s(s(s(0))), f(B_907_14)))), inference(cnfTransformation, [status(thm)], [f_157])).
% 12.77/5.49  tff(c_3262, plain, (![B_907_353, A_2_348, B_908_352, B_910_349, B_911_351, B_906_350]: (~iLEQ(suc(B_907_353), suc(B_908_352)) | ~iLEQ(suc(B_910_349), suc(B_911_351)) | ~E(s(s(s(0))), f(suc(B_907_353))) | ~E(s(s(s(0))), f(suc(B_911_351))) | ~E(s(s(s(0))), f(B_906_350)) | ~E(s(s(s(0))), f(suc(B_908_352))) | ~iLEQ(suc(B_908_352), suc(B_906_350)) | ~iLEQ(suc(A_2_348), suc(B_907_353)) | ~E(s(s(s(0))), f(B_908_352)) | ~E(s(s(s(0))), f(suc(B_910_349))) | ~E(s(s(s(0))), f(A_2_348)) | ~iLEQ(suc(B_906_350), suc(B_910_349)) | ~E(s(s(s(0))), f(B_910_349)) | ~E(s(s(s(0))), f(B_911_351)) | ~E(s(s(s(0))), f(suc(A_2_348))) | ~E(s(s(s(0))), f(B_907_353)) | LE(f(B_906_350), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2917, c_14])).
% 12.77/5.49  tff(c_3296, plain, (![B_906_356, B_906_354, B_911_355, B_910_357, A_2_358]: (~iLEQ(suc(B_910_357), suc(B_911_355)) | ~E(s(s(s(0))), f(suc(B_911_355))) | ~E(s(s(s(0))), f(B_906_356)) | ~E(s(s(s(0))), f(suc(B_906_354))) | ~iLEQ(suc(B_906_354), suc(B_906_356)) | ~iLEQ(suc(A_2_358), suc(B_906_354)) | ~E(s(s(s(0))), f(suc(B_910_357))) | ~E(s(s(s(0))), f(A_2_358)) | ~iLEQ(suc(B_906_356), suc(B_910_357)) | ~E(s(s(s(0))), f(B_910_357)) | ~E(s(s(s(0))), f(B_911_355)) | ~E(s(s(s(0))), f(suc(A_2_358))) | LE(f(B_906_356), s(s(s(0)))) | ~E(s(s(s(0))), f(B_906_354)) | LE(f(B_906_354), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2923, c_3262])).
% 12.77/5.49  tff(c_3330, plain, (![B_906_359, B_906_360, A_2_361, B_906_362]: (~E(s(s(s(0))), f(B_906_359)) | ~E(s(s(s(0))), f(suc(B_906_360))) | ~iLEQ(suc(B_906_360), suc(B_906_359)) | ~iLEQ(suc(A_2_361), suc(B_906_360)) | ~E(s(s(s(0))), f(suc(B_906_362))) | ~E(s(s(s(0))), f(A_2_361)) | ~iLEQ(suc(B_906_359), suc(B_906_362)) | ~E(s(s(s(0))), f(suc(A_2_361))) | LE(f(B_906_359), s(s(s(0)))) | ~E(s(s(s(0))), f(B_906_360)) | LE(f(B_906_360), s(s(s(0)))) | ~E(s(s(s(0))), f(B_906_362)) | LE(f(B_906_362), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2923, c_3296])).
% 12.77/5.49  tff(c_3341, plain, (![B_906_363, B_906_364, A_2_365, B_906_366]: (~E(s(s(s(0))), f(B_906_363)) | ~iLEQ(suc(B_906_364), suc(B_906_363)) | ~iLEQ(suc(A_2_365), suc(B_906_364)) | ~E(s(s(s(0))), f(suc(B_906_366))) | ~E(s(s(s(0))), f(A_2_365)) | ~iLEQ(suc(B_906_363), suc(B_906_366)) | ~E(s(s(s(0))), f(suc(A_2_365))) | LE(f(B_906_363), s(s(s(0)))) | ~E(s(s(s(0))), f(B_906_364)) | ~E(s(s(s(0))), f(B_906_366)) | LE(f(B_906_366), s(s(s(0)))) | LE(f(B_906_364), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2915, c_3330])).
% 12.77/5.49  tff(c_3375, plain, (![A_2_367, B_906_368, B_906_369]: (~iLEQ(suc(A_2_367), suc(B_906_368)) | ~E(s(s(s(0))), f(suc(B_906_369))) | ~E(s(s(s(0))), f(A_2_367)) | ~iLEQ(suc(B_906_368), suc(B_906_369)) | ~E(s(s(s(0))), f(suc(A_2_367))) | ~E(s(s(s(0))), f(B_906_369)) | LE(f(B_906_369), s(s(s(0)))) | ~E(s(s(s(0))), f(B_906_368)) | LE(f(B_906_368), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2923, c_3341])).
% 12.77/5.49  tff(c_3409, plain, (![B_906_370, B_906_371]: (~E(s(s(s(0))), f(suc(B_906_370))) | ~iLEQ(suc(B_906_371), suc(B_906_370)) | ~E(s(s(s(0))), f(suc(B_906_371))) | ~E(s(s(s(0))), f(B_906_370)) | LE(f(B_906_370), s(s(s(0)))) | ~E(s(s(s(0))), f(B_906_371)) | LE(f(B_906_371), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2923, c_3375])).
% 12.77/5.49  tff(c_3420, plain, (![B_906_372, B_906_373]: (~iLEQ(suc(B_906_372), suc(B_906_373)) | ~E(s(s(s(0))), f(suc(B_906_372))) | ~E(s(s(s(0))), f(B_906_373)) | ~E(s(s(s(0))), f(B_906_372)) | LE(f(B_906_372), s(s(s(0)))) | LE(f(B_906_373), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2915, c_3409])).
% 12.77/5.49  tff(c_3454, plain, (![B_906_374]: (~E(s(s(s(0))), f(suc(B_906_374))) | ~E(s(s(s(0))), f(B_906_374)) | LE(f(B_906_374), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2923, c_3420])).
% 12.77/5.49  tff(c_3467, plain, (![B_906_375]: (~E(s(s(s(0))), f(B_906_375)) | LE(f(B_906_375), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2915, c_3454])).
% 12.77/5.49  tff(c_3476, plain, (![B_906_376]: (LE(f(B_906_376), s(s(0))) | E(s(s(0)), f(B_906_376)) | ~E(s(s(s(0))), f(B_906_376)))), inference(resolution, [status(thm)], [c_3467, c_18])).
% 12.77/5.49  tff(c_3489, plain, (![B_585_377]: (LE(f(B_585_377), s(s(0))) | E(s(s(0)), f(B_585_377)))), inference(resolution, [status(thm)], [c_2891, c_3476])).
% 12.77/5.49  tff(c_10, plain, (![B_1136_10]: (LE(f(B_1136_10), s(0)) | E(s(0), f(B_1136_10)) | ~LE(f(B_1136_10), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_99])).
% 12.77/5.49  tff(c_3497, plain, (![B_585_377]: (LE(f(B_585_377), s(0)) | E(s(0), f(B_585_377)) | E(s(s(0)), f(B_585_377)))), inference(resolution, [status(thm)], [c_3489, c_10])).
% 12.77/5.49  tff(c_12, plain, (![B_1066_11]: (LE(f(B_1066_11), s(s(0))) | E(s(s(0)), f(suc(B_1066_11))) | ~LE(f(suc(B_1066_11)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_106])).
% 12.77/5.49  tff(c_2890, plain, (![B_1066_11]: (LE(f(B_1066_11), s(s(0))) | E(s(s(0)), f(suc(B_1066_11))) | E(s(s(s(0))), f(suc(B_1066_11))))), inference(resolution, [status(thm)], [c_2883, c_12])).
% 12.77/5.49  tff(c_3531, plain, (![B_1066_380]: (LE(f(B_1066_380), s(s(0))) | E(s(s(0)), f(suc(B_1066_380))) | ~E(s(s(s(0))), f(suc(B_1066_380))))), inference(resolution, [status(thm)], [c_3467, c_12])).
% 12.77/5.49  tff(c_3539, plain, (![B_1066_11]: (LE(f(B_1066_11), s(s(0))) | E(s(s(0)), f(suc(B_1066_11))))), inference(resolution, [status(thm)], [c_2890, c_3531])).
% 12.77/5.49  tff(c_3540, plain, (![B_1066_381]: (LE(f(B_1066_381), s(s(0))) | E(s(s(0)), f(suc(B_1066_381))))), inference(resolution, [status(thm)], [c_2890, c_3531])).
% 12.77/5.49  tff(c_4, plain, (![A_3_2]: (iLEQ(suc(A_3_2), suc(A_3_2)) | ~E(s(s(0)), f(suc(A_3_2))) | ~E(s(s(0)), f(A_3_2)))), inference(cnfTransformation, [status(thm)], [f_39])).
% 12.77/5.49  tff(c_3555, plain, (![B_1066_381]: (iLEQ(suc(B_1066_381), suc(B_1066_381)) | ~E(s(s(0)), f(B_1066_381)) | LE(f(B_1066_381), s(s(0))))), inference(resolution, [status(thm)], [c_3540, c_4])).
% 12.77/5.49  tff(c_3556, plain, (![B_1066_382]: (iLEQ(suc(B_1066_382), suc(B_1066_382)) | ~E(s(s(0)), f(B_1066_382)) | LE(f(B_1066_382), s(s(0))))), inference(resolution, [status(thm)], [c_3540, c_4])).
% 12.77/5.49  tff(c_42, plain, (![A_3_43, B_1069_40, B_1067_44, B_1071_45, B_1068_41, B_1070_42]: (~iLEQ(suc(B_1070_42), suc(B_1071_45)) | ~E(s(s(0)), f(A_3_43)) | ~E(s(s(0)), f(suc(B_1070_42))) | ~E(s(s(0)), f(suc(B_1071_45))) | ~iLEQ(suc(B_1069_40), suc(B_1070_42)) | ~E(s(s(0)), f(suc(B_1069_40))) | ~iLEQ(suc(A_3_43), suc(B_1067_44)) | ~E(s(s(0)), f(B_1071_45)) | ~iLEQ(suc(B_1068_41), suc(B_1069_40)) | ~E(s(s(0)), f(B_1067_44)) | ~E(s(s(0)), f(suc(A_3_43))) | ~iLEQ(suc(B_1067_44), suc(B_1068_41)) | ~E(s(s(0)), f(suc(B_1068_41))) | ~E(s(s(0)), f(B_1068_41)) | ~E(s(s(0)), f(B_1070_42)) | ~E(s(s(0)), f(suc(B_1067_44))) | ~E(s(s(0)), f(B_1069_40)))), inference(cnfTransformation, [status(thm)], [f_385])).
% 12.77/5.49  tff(c_3641, plain, (![B_1068_396, B_1067_394, B_1066_395, A_3_398, B_1069_397]: (~E(s(s(0)), f(A_3_398)) | ~E(s(s(0)), f(suc(B_1066_395))) | ~iLEQ(suc(B_1069_397), suc(B_1066_395)) | ~E(s(s(0)), f(suc(B_1069_397))) | ~iLEQ(suc(A_3_398), suc(B_1067_394)) | ~iLEQ(suc(B_1068_396), suc(B_1069_397)) | ~E(s(s(0)), f(B_1067_394)) | ~E(s(s(0)), f(suc(A_3_398))) | ~iLEQ(suc(B_1067_394), suc(B_1068_396)) | ~E(s(s(0)), f(suc(B_1068_396))) | ~E(s(s(0)), f(B_1068_396)) | ~E(s(s(0)), f(suc(B_1067_394))) | ~E(s(s(0)), f(B_1069_397)) | ~E(s(s(0)), f(B_1066_395)) | LE(f(B_1066_395), s(s(0))))), inference(resolution, [status(thm)], [c_3556, c_42])).
% 12.77/5.49  tff(c_3687, plain, (![B_1067_414, B_1069_418, B_1066_417, B_1068_416, A_3_415]: (~E(s(s(0)), f(A_3_415)) | ~iLEQ(suc(B_1069_418), suc(B_1066_417)) | ~E(s(s(0)), f(suc(B_1069_418))) | ~iLEQ(suc(A_3_415), suc(B_1067_414)) | ~iLEQ(suc(B_1068_416), suc(B_1069_418)) | ~E(s(s(0)), f(B_1067_414)) | ~E(s(s(0)), f(suc(A_3_415))) | ~iLEQ(suc(B_1067_414), suc(B_1068_416)) | ~E(s(s(0)), f(suc(B_1068_416))) | ~E(s(s(0)), f(B_1068_416)) | ~E(s(s(0)), f(suc(B_1067_414))) | ~E(s(s(0)), f(B_1069_418)) | ~E(s(s(0)), f(B_1066_417)) | LE(f(B_1066_417), s(s(0))))), inference(resolution, [status(thm)], [c_3539, c_3641])).
% 12.77/5.49  tff(c_3712, plain, (![A_3_419, B_1066_420, B_1067_421, B_1068_422]: (~E(s(s(0)), f(A_3_419)) | ~E(s(s(0)), f(suc(B_1066_420))) | ~iLEQ(suc(A_3_419), suc(B_1067_421)) | ~iLEQ(suc(B_1068_422), suc(B_1066_420)) | ~E(s(s(0)), f(B_1067_421)) | ~E(s(s(0)), f(suc(A_3_419))) | ~iLEQ(suc(B_1067_421), suc(B_1068_422)) | ~E(s(s(0)), f(suc(B_1068_422))) | ~E(s(s(0)), f(B_1068_422)) | ~E(s(s(0)), f(suc(B_1067_421))) | ~E(s(s(0)), f(B_1066_420)) | LE(f(B_1066_420), s(s(0))))), inference(resolution, [status(thm)], [c_3555, c_3687])).
% 12.77/5.49  tff(c_3723, plain, (![A_3_423, B_1067_424, B_1068_425, B_1066_426]: (~E(s(s(0)), f(A_3_423)) | ~iLEQ(suc(A_3_423), suc(B_1067_424)) | ~iLEQ(suc(B_1068_425), suc(B_1066_426)) | ~E(s(s(0)), f(B_1067_424)) | ~E(s(s(0)), f(suc(A_3_423))) | ~iLEQ(suc(B_1067_424), suc(B_1068_425)) | ~E(s(s(0)), f(suc(B_1068_425))) | ~E(s(s(0)), f(B_1068_425)) | ~E(s(s(0)), f(suc(B_1067_424))) | ~E(s(s(0)), f(B_1066_426)) | LE(f(B_1066_426), s(s(0))))), inference(resolution, [status(thm)], [c_3539, c_3712])).
% 12.77/5.49  tff(c_3748, plain, (![B_1068_427, B_1066_428, B_1066_429]: (~iLEQ(suc(B_1068_427), suc(B_1066_428)) | ~iLEQ(suc(B_1066_429), suc(B_1068_427)) | ~E(s(s(0)), f(suc(B_1068_427))) | ~E(s(s(0)), f(B_1068_427)) | ~E(s(s(0)), f(suc(B_1066_429))) | ~E(s(s(0)), f(B_1066_428)) | LE(f(B_1066_428), s(s(0))) | ~E(s(s(0)), f(B_1066_429)) | LE(f(B_1066_429), s(s(0))))), inference(resolution, [status(thm)], [c_3555, c_3723])).
% 12.77/5.49  tff(c_3773, plain, (![B_1066_430, B_1066_431]: (~iLEQ(suc(B_1066_430), suc(B_1066_431)) | ~E(s(s(0)), f(suc(B_1066_431))) | ~E(s(s(0)), f(suc(B_1066_430))) | ~E(s(s(0)), f(B_1066_430)) | LE(f(B_1066_430), s(s(0))) | ~E(s(s(0)), f(B_1066_431)) | LE(f(B_1066_431), s(s(0))))), inference(resolution, [status(thm)], [c_3555, c_3748])).
% 12.77/5.49  tff(c_3798, plain, (![B_1066_432]: (~E(s(s(0)), f(suc(B_1066_432))) | ~E(s(s(0)), f(B_1066_432)) | LE(f(B_1066_432), s(s(0))))), inference(resolution, [status(thm)], [c_3555, c_3773])).
% 12.77/5.49  tff(c_3811, plain, (![B_1066_433]: (~E(s(s(0)), f(B_1066_433)) | LE(f(B_1066_433), s(s(0))))), inference(resolution, [status(thm)], [c_3539, c_3798])).
% 12.77/5.49  tff(c_3820, plain, (![B_1066_434]: (LE(f(B_1066_434), s(0)) | E(s(0), f(B_1066_434)) | ~E(s(s(0)), f(B_1066_434)))), inference(resolution, [status(thm)], [c_3811, c_10])).
% 12.77/5.49  tff(c_3846, plain, (![B_585_436]: (LE(f(B_585_436), s(0)) | E(s(0), f(B_585_436)))), inference(resolution, [status(thm)], [c_3497, c_3820])).
% 12.77/5.49  tff(c_16, plain, (![B_1161_18]: (LE(f(B_1161_18), 0) | E(0, f(B_1161_18)) | ~LE(f(B_1161_18), s(0)))), inference(cnfTransformation, [status(thm)], [f_164])).
% 12.77/5.49  tff(c_3854, plain, (![B_585_436]: (LE(f(B_585_436), 0) | E(0, f(B_585_436)) | E(s(0), f(B_585_436)))), inference(resolution, [status(thm)], [c_3846, c_16])).
% 12.77/5.49  tff(c_38, plain, (![B_1136_38]: (LE(f(B_1136_38), s(0)) | E(s(0), f(suc(B_1136_38))) | ~LE(f(suc(B_1136_38)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_327])).
% 12.77/5.49  tff(c_3496, plain, (![B_1136_38]: (LE(f(B_1136_38), s(0)) | E(s(0), f(suc(B_1136_38))) | E(s(s(0)), f(suc(B_1136_38))))), inference(resolution, [status(thm)], [c_3489, c_38])).
% 12.77/5.49  tff(c_3833, plain, (![B_1136_435]: (LE(f(B_1136_435), s(0)) | E(s(0), f(suc(B_1136_435))) | ~E(s(s(0)), f(suc(B_1136_435))))), inference(resolution, [status(thm)], [c_3811, c_38])).
% 12.77/5.49  tff(c_3844, plain, (![B_1136_38]: (LE(f(B_1136_38), s(0)) | E(s(0), f(suc(B_1136_38))))), inference(resolution, [status(thm)], [c_3496, c_3833])).
% 12.77/5.49  tff(c_3855, plain, (![B_1136_437]: (LE(f(B_1136_437), s(0)) | E(s(0), f(suc(B_1136_437))))), inference(resolution, [status(thm)], [c_3496, c_3833])).
% 12.77/5.49  tff(c_30, plain, (![A_4_34]: (iLEQ(suc(A_4_34), suc(A_4_34)) | ~E(s(0), f(suc(A_4_34))) | ~E(s(0), f(A_4_34)))), inference(cnfTransformation, [status(thm)], [f_298])).
% 12.77/5.49  tff(c_3861, plain, (![B_1136_437]: (iLEQ(suc(B_1136_437), suc(B_1136_437)) | ~E(s(0), f(B_1136_437)) | LE(f(B_1136_437), s(0)))), inference(resolution, [status(thm)], [c_3855, c_30])).
% 12.77/5.49  tff(c_6, plain, (![B_1138_4, A_4_5, B_1137_8, B_1141_6, B_1140_3, B_1139_7]: (~E(s(0), f(B_1138_4)) | ~E(s(0), f(A_4_5)) | ~E(s(0), f(B_1139_7)) | ~E(s(0), f(suc(B_1141_6))) | ~E(s(0), f(suc(A_4_5))) | ~iLEQ(suc(B_1140_3), suc(B_1141_6)) | ~E(s(0), f(suc(B_1140_3))) | ~iLEQ(suc(B_1139_7), suc(B_1140_3)) | ~iLEQ(suc(A_4_5), suc(B_1137_8)) | ~iLEQ(suc(B_1137_8), suc(B_1138_4)) | ~E(s(0), f(suc(B_1138_4))) | ~E(s(0), f(B_1137_8)) | ~E(s(0), f(B_1141_6)) | ~iLEQ(suc(B_1138_4), suc(B_1139_7)) | ~E(s(0), f(suc(B_1139_7))) | ~E(s(0), f(B_1140_3)) | ~E(s(0), f(suc(B_1137_8))))), inference(cnfTransformation, [status(thm)], [f_90])).
% 12.77/5.49  tff(c_3890, plain, (![B_1136_447, B_1140_446, B_1137_445, B_1139_443, B_1138_448, A_4_444]: (~E(s(0), f(B_1138_448)) | ~E(s(0), f(A_4_444)) | ~E(s(0), f(B_1139_443)) | ~E(s(0), f(suc(A_4_444))) | ~iLEQ(suc(B_1140_446), suc(B_1136_447)) | ~E(s(0), f(suc(B_1140_446))) | ~iLEQ(suc(B_1139_443), suc(B_1140_446)) | ~iLEQ(suc(A_4_444), suc(B_1137_445)) | ~iLEQ(suc(B_1137_445), suc(B_1138_448)) | ~E(s(0), f(suc(B_1138_448))) | ~E(s(0), f(B_1137_445)) | ~E(s(0), f(B_1136_447)) | ~iLEQ(suc(B_1138_448), suc(B_1139_443)) | ~E(s(0), f(suc(B_1139_443))) | ~E(s(0), f(B_1140_446)) | ~E(s(0), f(suc(B_1137_445))) | LE(f(B_1136_447), s(0)))), inference(resolution, [status(thm)], [c_3855, c_6])).
% 12.77/5.49  tff(c_3916, plain, (![B_1136_461, B_1137_464, B_1139_460, B_1136_463, B_1140_465, B_1138_462]: (~E(s(0), f(B_1138_462)) | ~E(s(0), f(B_1136_461)) | ~E(s(0), f(B_1139_460)) | ~iLEQ(suc(B_1140_465), suc(B_1136_463)) | ~E(s(0), f(suc(B_1140_465))) | ~iLEQ(suc(B_1139_460), suc(B_1140_465)) | ~iLEQ(suc(B_1136_461), suc(B_1137_464)) | ~iLEQ(suc(B_1137_464), suc(B_1138_462)) | ~E(s(0), f(suc(B_1138_462))) | ~E(s(0), f(B_1137_464)) | ~E(s(0), f(B_1136_463)) | ~iLEQ(suc(B_1138_462), suc(B_1139_460)) | ~E(s(0), f(suc(B_1139_460))) | ~E(s(0), f(B_1140_465)) | ~E(s(0), f(suc(B_1137_464))) | LE(f(B_1136_463), s(0)) | LE(f(B_1136_461), s(0)))), inference(resolution, [status(thm)], [c_3844, c_3890])).
% 12.77/5.49  tff(c_3937, plain, (![B_1139_476, B_1137_475, B_1136_473, B_1136_474, B_1138_472]: (~E(s(0), f(B_1138_472)) | ~E(s(0), f(B_1136_473)) | ~E(s(0), f(B_1139_476)) | ~E(s(0), f(suc(B_1136_474))) | ~iLEQ(suc(B_1139_476), suc(B_1136_474)) | ~iLEQ(suc(B_1136_473), suc(B_1137_475)) | ~iLEQ(suc(B_1137_475), suc(B_1138_472)) | ~E(s(0), f(suc(B_1138_472))) | ~E(s(0), f(B_1137_475)) | ~iLEQ(suc(B_1138_472), suc(B_1139_476)) | ~E(s(0), f(suc(B_1139_476))) | ~E(s(0), f(suc(B_1137_475))) | LE(f(B_1136_473), s(0)) | ~E(s(0), f(B_1136_474)) | LE(f(B_1136_474), s(0)))), inference(resolution, [status(thm)], [c_3861, c_3916])).
% 12.77/5.49  tff(c_3948, plain, (![B_1136_481, B_1138_480, B_1136_479, B_1137_478, B_1139_477]: (~E(s(0), f(B_1138_480)) | ~E(s(0), f(B_1136_481)) | ~E(s(0), f(B_1139_477)) | ~iLEQ(suc(B_1139_477), suc(B_1136_479)) | ~iLEQ(suc(B_1136_481), suc(B_1137_478)) | ~iLEQ(suc(B_1137_478), suc(B_1138_480)) | ~E(s(0), f(suc(B_1138_480))) | ~E(s(0), f(B_1137_478)) | ~iLEQ(suc(B_1138_480), suc(B_1139_477)) | ~E(s(0), f(suc(B_1139_477))) | ~E(s(0), f(suc(B_1137_478))) | LE(f(B_1136_481), s(0)) | ~E(s(0), f(B_1136_479)) | LE(f(B_1136_479), s(0)))), inference(resolution, [status(thm)], [c_3844, c_3937])).
% 12.77/5.49  tff(c_3958, plain, (![B_1138_482, B_1136_483, B_1137_484, B_1136_485]: (~E(s(0), f(B_1138_482)) | ~E(s(0), f(B_1136_483)) | ~iLEQ(suc(B_1136_483), suc(B_1137_484)) | ~iLEQ(suc(B_1137_484), suc(B_1138_482)) | ~E(s(0), f(suc(B_1138_482))) | ~E(s(0), f(B_1137_484)) | ~iLEQ(suc(B_1138_482), suc(B_1136_485)) | ~E(s(0), f(suc(B_1136_485))) | ~E(s(0), f(suc(B_1137_484))) | LE(f(B_1136_483), s(0)) | ~E(s(0), f(B_1136_485)) | LE(f(B_1136_485), s(0)))), inference(resolution, [status(thm)], [c_3861, c_3948])).
% 12.77/5.49  tff(c_3968, plain, (![B_1138_486, B_1136_487, B_1136_488]: (~E(s(0), f(B_1138_486)) | ~iLEQ(suc(B_1136_487), suc(B_1138_486)) | ~E(s(0), f(suc(B_1138_486))) | ~iLEQ(suc(B_1138_486), suc(B_1136_488)) | ~E(s(0), f(suc(B_1136_488))) | ~E(s(0), f(suc(B_1136_487))) | ~E(s(0), f(B_1136_488)) | LE(f(B_1136_488), s(0)) | ~E(s(0), f(B_1136_487)) | LE(f(B_1136_487), s(0)))), inference(resolution, [status(thm)], [c_3861, c_3958])).
% 12.77/5.49  tff(c_3978, plain, (![B_1136_489, B_1136_490]: (~iLEQ(suc(B_1136_489), suc(B_1136_490)) | ~E(s(0), f(suc(B_1136_490))) | ~E(s(0), f(suc(B_1136_489))) | ~E(s(0), f(B_1136_490)) | LE(f(B_1136_490), s(0)) | ~E(s(0), f(B_1136_489)) | LE(f(B_1136_489), s(0)))), inference(resolution, [status(thm)], [c_3861, c_3968])).
% 12.77/5.49  tff(c_3988, plain, (![B_1136_491]: (~E(s(0), f(suc(B_1136_491))) | ~E(s(0), f(B_1136_491)) | LE(f(B_1136_491), s(0)))), inference(resolution, [status(thm)], [c_3861, c_3978])).
% 12.77/5.49  tff(c_4001, plain, (![B_1136_492]: (~E(s(0), f(B_1136_492)) | LE(f(B_1136_492), s(0)))), inference(resolution, [status(thm)], [c_3844, c_3988])).
% 12.77/5.49  tff(c_4010, plain, (![B_1136_493]: (LE(f(B_1136_493), 0) | E(0, f(B_1136_493)) | ~E(s(0), f(B_1136_493)))), inference(resolution, [status(thm)], [c_4001, c_16])).
% 12.77/5.49  tff(c_4036, plain, (![B_585_495]: (LE(f(B_585_495), 0) | E(0, f(B_585_495)))), inference(resolution, [status(thm)], [c_3854, c_4010])).
% 12.77/5.49  tff(c_22, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_181])).
% 12.77/5.49  tff(c_4040, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_4036, c_22])).
% 12.77/5.49  tff(c_44, plain, (![B_1161_46]: (LE(f(B_1161_46), 0) | E(0, f(suc(B_1161_46))) | ~LE(f(suc(B_1161_46)), s(0)))), inference(cnfTransformation, [status(thm)], [f_392])).
% 12.77/5.49  tff(c_3853, plain, (![B_1161_46]: (LE(f(B_1161_46), 0) | E(0, f(suc(B_1161_46))) | E(s(0), f(suc(B_1161_46))))), inference(resolution, [status(thm)], [c_3846, c_44])).
% 12.77/5.49  tff(c_4023, plain, (![B_1161_494]: (LE(f(B_1161_494), 0) | E(0, f(suc(B_1161_494))) | ~E(s(0), f(suc(B_1161_494))))), inference(resolution, [status(thm)], [c_4001, c_44])).
% 12.77/5.49  tff(c_4041, plain, (![B_1161_496]: (LE(f(B_1161_496), 0) | E(0, f(suc(B_1161_496))))), inference(resolution, [status(thm)], [c_3853, c_4023])).
% 12.77/5.49  tff(c_20, plain, (![A_5_20]: (iLEQ(suc(A_5_20), suc(A_5_20)) | ~E(0, f(suc(A_5_20))) | ~E(0, f(A_5_20)))), inference(cnfTransformation, [status(thm)], [f_179])).
% 12.77/5.49  tff(c_90, plain, (![B_1162_67, A_5_66, B_1166_69, B_1165_70, B_1164_65, B_1163_68]: (~E(0, f(B_1163_68)) | ~iLEQ(suc(B_1164_65), suc(B_1165_70)) | ~E(0, f(suc(B_1162_67))) | ~E(0, f(suc(B_1164_65))) | ~E(0, f(suc(B_1165_70))) | ~iLEQ(suc(B_1163_68), suc(B_1164_65)) | ~iLEQ(suc(B_1165_70), suc(B_1166_69)) | ~E(0, f(B_1166_69)) | ~E(0, f(suc(B_1166_69))) | ~E(0, f(suc(A_5_66))) | ~E(0, f(B_1164_65)) | ~E(0, f(B_1162_67)) | ~E(0, f(A_5_66)) | ~iLEQ(suc(A_5_66), suc(B_1162_67)) | ~E(0, f(suc(B_1163_68))) | ~iLEQ(suc(B_1162_67), suc(B_1163_68)) | ~E(0, f(B_1165_70)))), inference(cnfTransformation, [status(thm)], [f_239])).
% 12.77/5.49  tff(c_316, plain, (![A_5_116, B_1162_115, A_5_114, B_1163_113, B_1166_117]: (~E(0, f(B_1163_113)) | ~E(0, f(suc(B_1162_115))) | ~iLEQ(suc(B_1163_113), suc(A_5_116)) | ~iLEQ(suc(A_5_116), suc(B_1166_117)) | ~E(0, f(B_1166_117)) | ~E(0, f(suc(B_1166_117))) | ~E(0, f(suc(A_5_114))) | ~E(0, f(B_1162_115)) | ~E(0, f(A_5_114)) | ~iLEQ(suc(A_5_114), suc(B_1162_115)) | ~E(0, f(suc(B_1163_113))) | ~iLEQ(suc(B_1162_115), suc(B_1163_113)) | ~E(0, f(suc(A_5_116))) | ~E(0, f(A_5_116)))), inference(resolution, [status(thm)], [c_20, c_90])).
% 12.77/5.49  tff(c_618, plain, (![B_1162_145, A_5_146, B_1166_147, A_5_148]: (~E(0, f(suc(B_1162_145))) | ~iLEQ(suc(A_5_146), suc(B_1166_147)) | ~E(0, f(B_1166_147)) | ~E(0, f(suc(B_1166_147))) | ~E(0, f(suc(A_5_148))) | ~E(0, f(B_1162_145)) | ~E(0, f(A_5_148)) | ~iLEQ(suc(A_5_148), suc(B_1162_145)) | ~iLEQ(suc(B_1162_145), suc(A_5_146)) | ~E(0, f(suc(A_5_146))) | ~E(0, f(A_5_146)))), inference(resolution, [status(thm)], [c_20, c_316])).
% 12.77/5.49  tff(c_697, plain, (![B_1162_149, A_5_150, A_5_151]: (~E(0, f(suc(B_1162_149))) | ~E(0, f(suc(A_5_150))) | ~E(0, f(B_1162_149)) | ~E(0, f(A_5_150)) | ~iLEQ(suc(A_5_150), suc(B_1162_149)) | ~iLEQ(suc(B_1162_149), suc(A_5_151)) | ~E(0, f(suc(A_5_151))) | ~E(0, f(A_5_151)))), inference(resolution, [status(thm)], [c_20, c_618])).
% 12.77/5.49  tff(c_776, plain, (![A_5_152, A_5_153]: (~iLEQ(suc(A_5_152), suc(A_5_153)) | ~E(0, f(suc(A_5_153))) | ~E(0, f(A_5_153)) | ~E(0, f(suc(A_5_152))) | ~E(0, f(A_5_152)))), inference(resolution, [status(thm)], [c_20, c_697])).
% 12.77/5.49  tff(c_880, plain, (![A_5_20]: (~E(0, f(suc(A_5_20))) | ~E(0, f(A_5_20)))), inference(resolution, [status(thm)], [c_20, c_776])).
% 12.77/5.49  tff(c_4046, plain, (![B_1161_497]: (~E(0, f(B_1161_497)) | LE(f(B_1161_497), 0))), inference(resolution, [status(thm)], [c_4041, c_880])).
% 12.77/5.49  tff(c_4049, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_4046, c_22])).
% 12.77/5.49  tff(c_4053, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_4040, c_4049])).
% 12.77/5.49  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.77/5.49  
% 12.77/5.49  Inference rules
% 12.77/5.49  ----------------------
% 12.77/5.49  #Ref     : 0
% 12.77/5.49  #Sup     : 1210
% 12.77/5.49  #Fact    : 0
% 12.77/5.49  #Define  : 0
% 12.77/5.49  #Split   : 0
% 12.77/5.49  #Chain   : 0
% 12.77/5.49  #Close   : 0
% 12.77/5.49  
% 12.77/5.49  Ordering : KBO
% 12.77/5.49  
% 12.77/5.49  Simplification rules
% 12.77/5.49  ----------------------
% 12.77/5.49  #Subsume      : 640
% 12.77/5.49  #Demod        : 3
% 12.77/5.49  #Tautology    : 229
% 12.77/5.49  #SimpNegUnit  : 0
% 12.77/5.49  #BackRed      : 0
% 12.77/5.49  
% 12.77/5.49  #Partial instantiations: 0
% 12.77/5.49  #Strategies tried      : 1
% 12.77/5.49  
% 12.77/5.49  Timing (in seconds)
% 12.77/5.49  ----------------------
% 12.77/5.49  Preprocessing        : 0.65
% 12.77/5.49  Parsing              : 0.36
% 12.77/5.49  CNF conversion       : 0.04
% 12.77/5.49  Main loop            : 3.65
% 12.77/5.49  Inferencing          : 0.48
% 12.77/5.49  Reduction            : 0.31
% 12.77/5.49  Demodulation         : 0.19
% 12.77/5.49  BG Simplification    : 0.06
% 12.77/5.49  Subsumption          : 2.71
% 12.77/5.49  Abstraction          : 0.07
% 12.77/5.49  MUC search           : 0.00
% 12.77/5.49  Cooper               : 0.00
% 12.77/5.49  Total                : 4.40
% 12.77/5.49  Index Insertion      : 0.00
% 12.77/5.49  Index Deletion       : 0.00
% 12.77/5.49  Index Matching       : 0.00
% 12.77/5.49  BG Taut test         : 0.00
%------------------------------------------------------------------------------