TSTP Solution File: SYO684-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO684-1 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:18:21 EDT 2023
% Result : Unsatisfiable 11.62s 4.32s
% Output : CNFRefutation 11.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYO684-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 15:49:09 EDT 2023
% 0.16/0.37 % CPUTime :
% 11.62/4.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.62/4.34
% 11.62/4.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.62/4.36 %$ LE > E > #nlpp > suc > s > f > z > 0
% 11.62/4.36
% 11.62/4.36 %Foreground sorts:
% 11.62/4.36
% 11.62/4.36
% 11.62/4.36 %Background operators:
% 11.62/4.36
% 11.62/4.36
% 11.62/4.36 %Foreground operators:
% 11.62/4.36 tff(s, type, s: $i > $i).
% 11.62/4.36 tff(f, type, f: $i > $i).
% 11.62/4.36 tff(0, type, 0: $i).
% 11.62/4.36 tff(LE, type, LE: ($i * $i) > $o).
% 11.62/4.36 tff(suc, type, suc: $i > $i).
% 11.62/4.36 tff(z, type, z: $i).
% 11.62/4.36 tff(E, type, E: ($i * $i) > $o).
% 11.62/4.36
% 11.62/4.41 tff(f_420, axiom, (![A]: LE(f(A), s(s(s(s(s(0))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_418, axiom, (![B]: ((~LE(f(B), s(s(s(s(s(0)))))) | E(s(s(s(s(0)))), f(B))) | LE(f(B), s(s(s(s(0))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_83, axiom, (![B_0]: ((~LE(f(B_0), s(s(s(s(0))))) | E(s(s(s(0))), f(B_0))) | LE(f(B_0), s(s(s(0)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_283, axiom, (![B]: ((~LE(f(suc(B)), s(s(s(s(s(0)))))) | E(s(s(s(s(0)))), f(suc(B)))) | LE(f(B), s(s(s(s(0))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_428, axiom, (![A_1]: ((~E(s(s(s(s(0)))), f(A_1)) | ~E(s(s(s(s(0)))), f(suc(A_1)))) | E(f(A_1), f(suc(A_1))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_141, axiom, (![B]: ((~LE(f(suc(suc(B))), s(s(s(s(s(0)))))) | E(s(s(s(s(0)))), f(suc(suc(B))))) | LE(f(B), s(s(s(s(0))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_233, axiom, (![A_1]: ((((~E(s(s(s(s(0)))), f(suc(suc(A_1)))) | ~E(s(s(s(s(0)))), f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(s(s(s(0)))), f(A_1))) | E(f(A_1), f(suc(suc(A_1)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_69, axiom, (![B]: ((~LE(f(suc(suc(suc(B)))), s(s(s(s(s(0)))))) | E(s(s(s(s(0)))), f(suc(suc(suc(B)))))) | LE(f(B), s(s(s(s(0))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_163, axiom, (![A_1]: ((((((~E(s(s(s(s(0)))), f(suc(suc(suc(A_1))))) | ~E(s(s(s(s(0)))), f(suc(suc(A_1))))) | ~E(f(A_1), f(suc(suc(A_1))))) | ~E(s(s(s(s(0)))), f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(s(s(s(0)))), f(A_1))) | E(f(A_1), f(suc(suc(suc(A_1))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_484, axiom, (![B]: ((~LE(f(suc(suc(suc(suc(B))))), s(s(s(s(s(0)))))) | E(s(s(s(s(0)))), f(suc(suc(suc(suc(B))))))) | LE(f(B), s(s(s(s(0))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_411, axiom, (![A_1]: (((((((~E(f(A_1), f(suc(suc(suc(A_1))))) | ~E(s(s(s(s(0)))), f(suc(suc(suc(A_1)))))) | ~E(s(s(s(s(0)))), f(suc(suc(A_1))))) | ~E(f(A_1), f(suc(suc(A_1))))) | ~E(s(s(s(s(0)))), f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(s(s(s(0)))), f(suc(suc(suc(suc(A_1))))))) | ~E(s(s(s(s(0)))), f(A_1)))), file('unknown', unknown)).
% 11.62/4.41 tff(f_380, axiom, (![B_1]: ((~LE(f(B_1), s(s(s(0)))) | E(s(s(0)), f(B_1))) | LE(f(B_1), s(s(0))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_62, axiom, (![B_0]: ((~LE(f(suc(B_0)), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(B_0)))) | LE(f(B_0), s(s(s(0)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_492, axiom, (![A_2]: ((~E(s(s(s(0))), f(A_2)) | ~E(s(s(s(0))), f(suc(A_2)))) | E(f(A_2), f(suc(A_2))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_198, axiom, (![B_0]: ((~LE(f(suc(suc(B_0))), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(suc(B_0))))) | LE(f(B_0), s(s(s(0)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_276, axiom, (![A_2]: ((((~E(s(s(s(0))), f(suc(suc(A_2)))) | ~E(s(s(s(0))), f(suc(A_2)))) | ~E(f(A_2), f(suc(A_2)))) | ~E(s(s(s(0))), f(A_2))) | E(f(A_2), f(suc(suc(A_2)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_387, axiom, (![B_0]: ((~LE(f(suc(suc(suc(B_0)))), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(suc(suc(B_0)))))) | LE(f(B_0), s(s(s(0)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_110, axiom, (![B_0]: ((~LE(f(suc(suc(suc(suc(B_0))))), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(suc(suc(suc(B_0))))))) | LE(f(B_0), s(s(s(0)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_103, axiom, (![A_2]: ((((((~E(f(A_2), f(suc(suc(A_2)))) | ~E(s(s(s(0))), f(suc(A_2)))) | ~E(s(s(s(0))), f(suc(suc(suc(A_2)))))) | ~E(s(s(s(0))), f(A_2))) | ~E(s(s(s(0))), f(suc(suc(A_2))))) | ~E(f(A_2), f(suc(A_2)))) | E(f(A_2), f(suc(suc(suc(A_2))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_327, axiom, (![A_2]: (((((((~E(f(A_2), f(suc(suc(A_2)))) | ~E(s(s(s(0))), f(suc(A_2)))) | ~E(s(s(s(0))), f(suc(suc(suc(A_2)))))) | ~E(s(s(s(0))), f(A_2))) | ~E(s(s(s(0))), f(suc(suc(suc(suc(A_2))))))) | ~E(f(A_2), f(suc(suc(suc(A_2)))))) | ~E(s(s(s(0))), f(suc(suc(A_2))))) | ~E(f(A_2), f(suc(A_2))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_373, axiom, (![B_2]: ((~LE(f(B_2), s(s(0))) | E(s(0), f(B_2))) | LE(f(B_2), s(0)))), file('unknown', unknown)).
% 11.62/4.41 tff(f_76, axiom, (![B_1]: ((~LE(f(suc(B_1)), s(s(s(0)))) | E(s(s(0)), f(suc(B_1)))) | LE(f(B_1), s(s(0))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_359, axiom, (![A_3]: ((~E(s(s(0)), f(A_3)) | ~E(s(s(0)), f(suc(A_3)))) | E(f(A_3), f(suc(A_3))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_366, axiom, (![B_1]: ((~LE(f(suc(suc(B_1))), s(s(s(0)))) | E(s(s(0)), f(suc(suc(B_1))))) | LE(f(B_1), s(s(0))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_219, axiom, (![A_3]: ((((~E(s(s(0)), f(suc(suc(A_3)))) | ~E(s(s(0)), f(suc(A_3)))) | ~E(f(A_3), f(suc(A_3)))) | ~E(s(s(0)), f(A_3))) | E(f(A_3), f(suc(suc(A_3)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_177, axiom, (![B_1]: ((~LE(f(suc(suc(suc(B_1)))), s(s(s(0)))) | E(s(s(0)), f(suc(suc(suc(B_1)))))) | LE(f(B_1), s(s(0))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_254, axiom, (![B_1]: ((~LE(f(suc(suc(suc(suc(B_1))))), s(s(s(0)))) | E(s(s(0)), f(suc(suc(suc(suc(B_1))))))) | LE(f(B_1), s(s(0))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_532, axiom, (![A_3]: ((((((~E(s(s(0)), f(suc(A_3))) | ~E(f(A_3), f(suc(suc(A_3))))) | ~E(s(s(0)), f(suc(suc(A_3))))) | ~E(f(A_3), f(suc(A_3)))) | ~E(s(s(0)), f(suc(suc(suc(A_3)))))) | ~E(s(s(0)), f(A_3))) | E(f(A_3), f(suc(suc(suc(A_3))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_47, axiom, (![A_3]: (((((((~E(s(s(0)), f(suc(A_3))) | ~E(s(s(0)), f(suc(suc(suc(suc(A_3))))))) | ~E(f(A_3), f(suc(suc(A_3))))) | ~E(s(s(0)), f(suc(suc(A_3))))) | ~E(f(A_3), f(suc(A_3)))) | ~E(s(s(0)), f(suc(suc(suc(A_3)))))) | ~E(f(A_3), f(suc(suc(suc(A_3)))))) | ~E(s(s(0)), f(A_3)))), file('unknown', unknown)).
% 11.62/4.41 tff(f_477, axiom, (![B_3]: ((~LE(f(B_3), s(0)) | E(0, f(B_3))) | LE(f(B_3), 0))), file('unknown', unknown)).
% 11.62/4.41 tff(f_470, axiom, (![B_2]: ((~LE(f(suc(B_2)), s(s(0))) | E(s(0), f(suc(B_2)))) | LE(f(B_2), s(0)))), file('unknown', unknown)).
% 11.62/4.41 tff(f_262, axiom, (![A_4]: ((~E(s(0), f(A_4)) | ~E(s(0), f(suc(A_4)))) | E(f(A_4), f(suc(A_4))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_435, axiom, (![B_2]: ((~LE(f(suc(suc(B_2))), s(s(0))) | E(s(0), f(suc(suc(B_2))))) | LE(f(B_2), s(0)))), file('unknown', unknown)).
% 11.62/4.41 tff(f_191, axiom, (![A_4]: ((((~E(s(0), f(suc(suc(A_4)))) | ~E(s(0), f(suc(A_4)))) | ~E(f(A_4), f(suc(A_4)))) | ~E(s(0), f(A_4))) | E(f(A_4), f(suc(suc(A_4)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_463, axiom, (![B_2]: ((~LE(f(suc(suc(suc(B_2)))), s(s(0))) | E(s(0), f(suc(suc(suc(B_2)))))) | LE(f(B_2), s(0)))), file('unknown', unknown)).
% 11.62/4.41 tff(f_303, axiom, (![A_4]: ((((((~E(f(A_4), f(suc(A_4))) | ~E(s(0), f(suc(suc(A_4))))) | ~E(s(0), f(suc(suc(suc(A_4)))))) | ~E(s(0), f(suc(A_4)))) | ~E(f(A_4), f(suc(suc(A_4))))) | ~E(s(0), f(A_4))) | E(f(A_4), f(suc(suc(suc(A_4))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_449, axiom, (![B_2]: ((~LE(f(suc(suc(suc(suc(B_2))))), s(s(0))) | E(s(0), f(suc(suc(suc(suc(B_2))))))) | LE(f(B_2), s(0)))), file('unknown', unknown)).
% 11.62/4.41 tff(f_134, axiom, (![A_4]: (((((((~E(f(A_4), f(suc(A_4))) | ~E(s(0), f(suc(suc(A_4))))) | ~E(s(0), f(suc(suc(suc(A_4)))))) | ~E(f(A_4), f(suc(suc(suc(A_4)))))) | ~E(s(0), f(suc(A_4)))) | ~E(f(A_4), f(suc(suc(A_4))))) | ~E(s(0), f(A_4))) | ~E(s(0), f(suc(suc(suc(suc(A_4)))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_143, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 11.62/4.41 tff(f_456, axiom, (![B_3]: ((~LE(f(suc(B_3)), s(0)) | E(0, f(suc(B_3)))) | LE(f(B_3), 0))), file('unknown', unknown)).
% 11.62/4.41 tff(f_442, axiom, (![B_3]: ((~LE(f(suc(suc(B_3))), s(0)) | E(0, f(suc(suc(B_3))))) | LE(f(B_3), 0))), file('unknown', unknown)).
% 11.62/4.41 tff(f_55, axiom, (![A_5]: ((~E(0, f(A_5)) | ~E(0, f(suc(A_5)))) | E(f(A_5), f(suc(A_5))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_170, axiom, (![B_3]: ((~LE(f(suc(suc(suc(B_3)))), s(0)) | E(0, f(suc(suc(suc(B_3)))))) | LE(f(B_3), 0))), file('unknown', unknown)).
% 11.62/4.41 tff(f_247, axiom, (![A_5]: ((((~E(0, f(suc(suc(A_5)))) | ~E(0, f(suc(A_5)))) | ~E(f(A_5), f(suc(A_5)))) | ~E(0, f(A_5))) | E(f(A_5), f(suc(suc(A_5)))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_205, axiom, (![B_3]: ((~LE(f(suc(suc(suc(suc(B_3))))), s(0)) | E(0, f(suc(suc(suc(suc(B_3))))))) | LE(f(B_3), 0))), file('unknown', unknown)).
% 11.62/4.41 tff(f_512, axiom, (![A_5]: ((((((~E(0, f(A_5)) | ~E(0, f(suc(suc(suc(A_5)))))) | ~E(0, f(suc(A_5)))) | ~E(0, f(suc(suc(A_5))))) | ~E(f(A_5), f(suc(A_5)))) | ~E(f(A_5), f(suc(suc(A_5))))) | E(f(A_5), f(suc(suc(suc(A_5))))))), file('unknown', unknown)).
% 11.62/4.41 tff(f_351, axiom, (![A_5]: (((((((~E(0, f(suc(suc(suc(suc(A_5)))))) | ~E(0, f(A_5))) | ~E(0, f(suc(suc(suc(A_5)))))) | ~E(0, f(suc(A_5)))) | ~E(0, f(suc(suc(A_5))))) | ~E(f(A_5), f(suc(A_5)))) | ~E(f(A_5), f(suc(suc(suc(A_5)))))) | ~E(f(A_5), f(suc(suc(A_5)))))), file('unknown', unknown)).
% 11.62/4.41 tff(c_70, plain, (![A_34]: (LE(f(A_34), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_420])).
% 11.62/4.41 tff(c_68, plain, (![B_33]: (LE(f(B_33), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(B_33)) | ~LE(f(B_33), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_418])).
% 11.62/4.41 tff(c_98, plain, (![B_33]: (LE(f(B_33), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(B_33)))), inference(demodulation, [status(thm), theory('equality')], [c_70, c_68])).
% 11.62/4.41 tff(c_125, plain, (![B_0_67]: (LE(f(B_0_67), s(s(s(0)))) | E(s(s(s(0))), f(B_0_67)) | ~LE(f(B_0_67), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_83])).
% 11.62/4.41 tff(c_129, plain, (![B_33]: (LE(f(B_33), s(s(s(0)))) | E(s(s(s(0))), f(B_33)) | E(s(s(s(s(0)))), f(B_33)))), inference(resolution, [status(thm)], [c_98, c_125])).
% 11.62/4.41 tff(c_48, plain, (![B_23]: (LE(f(B_23), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(B_23))) | ~LE(f(suc(B_23)), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_283])).
% 11.62/4.41 tff(c_100, plain, (![B_23]: (LE(f(B_23), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(B_23))))), inference(demodulation, [status(thm), theory('equality')], [c_70, c_48])).
% 11.62/4.41 tff(c_133, plain, (![A_1_71]: (E(f(A_1_71), f(suc(A_1_71))) | ~E(s(s(s(s(0)))), f(suc(A_1_71))) | ~E(s(s(s(s(0)))), f(A_1_71)))), inference(cnfTransformation, [status(thm)], [f_428])).
% 11.62/4.41 tff(c_149, plain, (![B_23]: (E(f(B_23), f(suc(B_23))) | ~E(s(s(s(s(0)))), f(B_23)) | LE(f(B_23), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_100, c_133])).
% 11.62/4.41 tff(c_20, plain, (![B_10]: (LE(f(B_10), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(suc(B_10)))) | ~LE(f(suc(suc(B_10))), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_141])).
% 11.62/4.41 tff(c_102, plain, (![B_10]: (LE(f(B_10), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(suc(B_10)))))), inference(demodulation, [status(thm), theory('equality')], [c_70, c_20])).
% 11.62/4.41 tff(c_394, plain, (![A_1_103]: (E(f(A_1_103), f(suc(suc(A_1_103)))) | ~E(s(s(s(s(0)))), f(A_1_103)) | ~E(f(A_1_103), f(suc(A_1_103))) | ~E(s(s(s(s(0)))), f(suc(A_1_103))) | ~E(s(s(s(s(0)))), f(suc(suc(A_1_103)))))), inference(cnfTransformation, [status(thm)], [f_233])).
% 11.62/4.41 tff(c_578, plain, (![B_115]: (E(f(B_115), f(suc(suc(B_115)))) | ~E(s(s(s(s(0)))), f(B_115)) | ~E(f(B_115), f(suc(B_115))) | ~E(s(s(s(s(0)))), f(suc(B_115))) | LE(f(B_115), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_102, c_394])).
% 11.62/4.41 tff(c_606, plain, (![B_23]: (E(f(B_23), f(suc(suc(B_23)))) | ~E(s(s(s(s(0)))), f(B_23)) | ~E(f(B_23), f(suc(B_23))) | LE(f(B_23), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_100, c_578])).
% 11.62/4.41 tff(c_8, plain, (![B_4]: (LE(f(B_4), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(suc(suc(B_4))))) | ~LE(f(suc(suc(suc(B_4)))), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_69])).
% 11.62/4.41 tff(c_104, plain, (![B_4]: (LE(f(B_4), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(suc(suc(B_4))))))), inference(demodulation, [status(thm), theory('equality')], [c_70, c_8])).
% 11.62/4.41 tff(c_719, plain, (![A_1_127]: (E(f(A_1_127), f(suc(suc(suc(A_1_127))))) | ~E(s(s(s(s(0)))), f(A_1_127)) | ~E(f(A_1_127), f(suc(A_1_127))) | ~E(s(s(s(s(0)))), f(suc(A_1_127))) | ~E(f(A_1_127), f(suc(suc(A_1_127)))) | ~E(s(s(s(s(0)))), f(suc(suc(A_1_127)))) | ~E(s(s(s(s(0)))), f(suc(suc(suc(A_1_127))))))), inference(cnfTransformation, [status(thm)], [f_163])).
% 11.62/4.41 tff(c_1014, plain, (![B_147]: (E(f(B_147), f(suc(suc(suc(B_147))))) | ~E(s(s(s(s(0)))), f(B_147)) | ~E(f(B_147), f(suc(B_147))) | ~E(s(s(s(s(0)))), f(suc(B_147))) | ~E(f(B_147), f(suc(suc(B_147)))) | ~E(s(s(s(s(0)))), f(suc(suc(B_147)))) | LE(f(B_147), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_104, c_719])).
% 11.62/4.41 tff(c_1174, plain, (![B_153]: (E(f(B_153), f(suc(suc(suc(B_153))))) | ~E(s(s(s(s(0)))), f(B_153)) | ~E(f(B_153), f(suc(B_153))) | ~E(s(s(s(s(0)))), f(suc(B_153))) | ~E(f(B_153), f(suc(suc(B_153)))) | LE(f(B_153), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_102, c_1014])).
% 11.62/4.41 tff(c_1202, plain, (![B_23]: (E(f(B_23), f(suc(suc(suc(B_23))))) | ~E(s(s(s(s(0)))), f(B_23)) | ~E(f(B_23), f(suc(B_23))) | ~E(f(B_23), f(suc(suc(B_23)))) | LE(f(B_23), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_100, c_1174])).
% 11.62/4.41 tff(c_88, plain, (![B_43]: (LE(f(B_43), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(suc(suc(suc(B_43)))))) | ~LE(f(suc(suc(suc(suc(B_43))))), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_484])).
% 11.62/4.41 tff(c_96, plain, (![B_43]: (LE(f(B_43), s(s(s(s(0))))) | E(s(s(s(s(0)))), f(suc(suc(suc(suc(B_43)))))))), inference(demodulation, [status(thm), theory('equality')], [c_70, c_88])).
% 11.62/4.41 tff(c_793, plain, (![A_1_135]: (~E(s(s(s(s(0)))), f(A_1_135)) | ~E(s(s(s(s(0)))), f(suc(suc(suc(suc(A_1_135)))))) | ~E(f(A_1_135), f(suc(A_1_135))) | ~E(s(s(s(s(0)))), f(suc(A_1_135))) | ~E(f(A_1_135), f(suc(suc(A_1_135)))) | ~E(s(s(s(s(0)))), f(suc(suc(A_1_135)))) | ~E(s(s(s(s(0)))), f(suc(suc(suc(A_1_135))))) | ~E(f(A_1_135), f(suc(suc(suc(A_1_135))))))), inference(cnfTransformation, [status(thm)], [f_411])).
% 11.62/4.41 tff(c_1510, plain, (![B_172]: (~E(s(s(s(s(0)))), f(B_172)) | ~E(f(B_172), f(suc(B_172))) | ~E(s(s(s(s(0)))), f(suc(B_172))) | ~E(f(B_172), f(suc(suc(B_172)))) | ~E(s(s(s(s(0)))), f(suc(suc(B_172)))) | ~E(s(s(s(s(0)))), f(suc(suc(suc(B_172))))) | ~E(f(B_172), f(suc(suc(suc(B_172))))) | LE(f(B_172), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_96, c_793])).
% 11.62/4.41 tff(c_1963, plain, (![B_195]: (~E(s(s(s(s(0)))), f(B_195)) | ~E(f(B_195), f(suc(B_195))) | ~E(s(s(s(s(0)))), f(suc(B_195))) | ~E(f(B_195), f(suc(suc(B_195)))) | ~E(s(s(s(s(0)))), f(suc(suc(B_195)))) | ~E(f(B_195), f(suc(suc(suc(B_195))))) | LE(f(B_195), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_104, c_1510])).
% 11.62/4.41 tff(c_1995, plain, (![B_197]: (~E(s(s(s(s(0)))), f(B_197)) | ~E(f(B_197), f(suc(B_197))) | ~E(s(s(s(s(0)))), f(suc(B_197))) | ~E(f(B_197), f(suc(suc(B_197)))) | ~E(f(B_197), f(suc(suc(suc(B_197))))) | LE(f(B_197), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_102, c_1963])).
% 11.62/4.41 tff(c_2024, plain, (![B_198]: (~E(s(s(s(s(0)))), f(B_198)) | ~E(f(B_198), f(suc(B_198))) | ~E(f(B_198), f(suc(suc(B_198)))) | ~E(f(B_198), f(suc(suc(suc(B_198))))) | LE(f(B_198), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_100, c_1995])).
% 11.62/4.41 tff(c_2049, plain, (![B_199]: (~E(s(s(s(s(0)))), f(B_199)) | ~E(f(B_199), f(suc(B_199))) | ~E(f(B_199), f(suc(suc(B_199)))) | LE(f(B_199), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_1202, c_2024])).
% 11.62/4.41 tff(c_2183, plain, (![B_201]: (~E(s(s(s(s(0)))), f(B_201)) | ~E(f(B_201), f(suc(B_201))) | LE(f(B_201), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_606, c_2049])).
% 11.62/4.41 tff(c_2271, plain, (![B_202]: (~E(s(s(s(s(0)))), f(B_202)) | LE(f(B_202), s(s(s(s(0))))))), inference(resolution, [status(thm)], [c_149, c_2183])).
% 11.62/4.41 tff(c_12, plain, (![B_0_6]: (LE(f(B_0_6), s(s(s(0)))) | E(s(s(s(0))), f(B_0_6)) | ~LE(f(B_0_6), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_83])).
% 11.62/4.41 tff(c_2292, plain, (![B_203]: (LE(f(B_203), s(s(s(0)))) | E(s(s(s(0))), f(B_203)) | ~E(s(s(s(s(0)))), f(B_203)))), inference(resolution, [status(thm)], [c_2271, c_12])).
% 11.62/4.41 tff(c_2329, plain, (![B_204]: (LE(f(B_204), s(s(s(0)))) | E(s(s(s(0))), f(B_204)))), inference(resolution, [status(thm)], [c_129, c_2292])).
% 11.62/4.41 tff(c_62, plain, (![B_1_30]: (LE(f(B_1_30), s(s(0))) | E(s(s(0)), f(B_1_30)) | ~LE(f(B_1_30), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_380])).
% 11.62/4.41 tff(c_2349, plain, (![B_204]: (LE(f(B_204), s(s(0))) | E(s(s(0)), f(B_204)) | E(s(s(s(0))), f(B_204)))), inference(resolution, [status(thm)], [c_2329, c_62])).
% 11.62/4.41 tff(c_156, plain, (![B_0_74]: (LE(f(B_0_74), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_0_74))) | ~LE(f(suc(B_0_74)), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_62])).
% 11.62/4.41 tff(c_164, plain, (![B_0_74]: (LE(f(B_0_74), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_0_74))) | E(s(s(s(s(0)))), f(suc(B_0_74))))), inference(resolution, [status(thm)], [c_98, c_156])).
% 11.62/4.41 tff(c_6, plain, (![B_0_3]: (LE(f(B_0_3), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_0_3))) | ~LE(f(suc(B_0_3)), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_62])).
% 11.62/4.41 tff(c_2401, plain, (![B_0_209]: (LE(f(B_0_209), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_0_209))) | ~E(s(s(s(s(0)))), f(suc(B_0_209))))), inference(resolution, [status(thm)], [c_2271, c_6])).
% 11.62/4.41 tff(c_2434, plain, (![B_0_210]: (LE(f(B_0_210), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_0_210))))), inference(resolution, [status(thm)], [c_164, c_2401])).
% 11.62/4.41 tff(c_90, plain, (![A_2_44]: (E(f(A_2_44), f(suc(A_2_44))) | ~E(s(s(s(0))), f(suc(A_2_44))) | ~E(s(s(s(0))), f(A_2_44)))), inference(cnfTransformation, [status(thm)], [f_492])).
% 11.62/4.41 tff(c_2449, plain, (![B_0_210]: (E(f(B_0_210), f(suc(B_0_210))) | ~E(s(s(s(0))), f(B_0_210)) | LE(f(B_0_210), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2434, c_90])).
% 11.62/4.41 tff(c_2429, plain, (![B_0_74]: (LE(f(B_0_74), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_0_74))))), inference(resolution, [status(thm)], [c_164, c_2401])).
% 11.62/4.41 tff(c_197, plain, (![B_0_80]: (LE(f(B_0_80), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_0_80)))) | ~LE(f(suc(suc(B_0_80))), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_198])).
% 11.62/4.41 tff(c_206, plain, (![B_0_80]: (LE(f(B_0_80), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_0_80)))) | E(s(s(s(s(0)))), f(suc(suc(B_0_80)))))), inference(resolution, [status(thm)], [c_98, c_197])).
% 11.62/4.41 tff(c_32, plain, (![B_0_15]: (LE(f(B_0_15), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_0_15)))) | ~LE(f(suc(suc(B_0_15))), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_198])).
% 11.62/4.41 tff(c_2506, plain, (![B_0_216]: (LE(f(B_0_216), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_0_216)))) | ~E(s(s(s(s(0)))), f(suc(suc(B_0_216)))))), inference(resolution, [status(thm)], [c_2271, c_32])).
% 11.62/4.41 tff(c_2535, plain, (![B_0_217]: (LE(f(B_0_217), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_0_217)))))), inference(resolution, [status(thm)], [c_206, c_2506])).
% 11.62/4.41 tff(c_46, plain, (![A_2_22]: (E(f(A_2_22), f(suc(suc(A_2_22)))) | ~E(s(s(s(0))), f(A_2_22)) | ~E(f(A_2_22), f(suc(A_2_22))) | ~E(s(s(s(0))), f(suc(A_2_22))) | ~E(s(s(s(0))), f(suc(suc(A_2_22)))))), inference(cnfTransformation, [status(thm)], [f_276])).
% 11.62/4.41 tff(c_2817, plain, (![B_0_237]: (E(f(B_0_237), f(suc(suc(B_0_237)))) | ~E(s(s(s(0))), f(B_0_237)) | ~E(f(B_0_237), f(suc(B_0_237))) | ~E(s(s(s(0))), f(suc(B_0_237))) | LE(f(B_0_237), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2535, c_46])).
% 11.62/4.41 tff(c_2842, plain, (![B_0_74]: (E(f(B_0_74), f(suc(suc(B_0_74)))) | ~E(s(s(s(0))), f(B_0_74)) | ~E(f(B_0_74), f(suc(B_0_74))) | LE(f(B_0_74), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2429, c_2817])).
% 11.62/4.41 tff(c_2530, plain, (![B_0_80]: (LE(f(B_0_80), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_0_80)))))), inference(resolution, [status(thm)], [c_206, c_2506])).
% 11.62/4.41 tff(c_213, plain, (![B_0_84]: (LE(f(B_0_84), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(B_0_84))))) | ~LE(f(suc(suc(suc(B_0_84)))), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_387])).
% 11.62/4.41 tff(c_219, plain, (![B_0_84]: (LE(f(B_0_84), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(B_0_84))))) | E(s(s(s(s(0)))), f(suc(suc(suc(B_0_84))))))), inference(resolution, [status(thm)], [c_98, c_213])).
% 11.62/4.41 tff(c_64, plain, (![B_0_31]: (LE(f(B_0_31), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(B_0_31))))) | ~LE(f(suc(suc(suc(B_0_31)))), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_387])).
% 11.62/4.41 tff(c_2621, plain, (![B_0_223]: (LE(f(B_0_223), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(B_0_223))))) | ~E(s(s(s(s(0)))), f(suc(suc(suc(B_0_223))))))), inference(resolution, [status(thm)], [c_2271, c_64])).
% 11.62/4.41 tff(c_2641, plain, (![B_0_84]: (LE(f(B_0_84), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(B_0_84))))))), inference(resolution, [status(thm)], [c_219, c_2621])).
% 11.62/4.41 tff(c_287, plain, (![B_0_90]: (LE(f(B_0_90), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(suc(B_0_90)))))) | ~LE(f(suc(suc(suc(suc(B_0_90))))), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_110])).
% 11.62/4.41 tff(c_293, plain, (![B_0_90]: (LE(f(B_0_90), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(suc(B_0_90)))))) | E(s(s(s(s(0)))), f(suc(suc(suc(suc(B_0_90)))))))), inference(resolution, [status(thm)], [c_98, c_287])).
% 11.62/4.41 tff(c_16, plain, (![B_0_8]: (LE(f(B_0_8), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(suc(B_0_8)))))) | ~LE(f(suc(suc(suc(suc(B_0_8))))), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_110])).
% 11.62/4.41 tff(c_2691, plain, (![B_0_228]: (LE(f(B_0_228), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(suc(B_0_228)))))) | ~E(s(s(s(s(0)))), f(suc(suc(suc(suc(B_0_228)))))))), inference(resolution, [status(thm)], [c_2271, c_16])).
% 11.62/4.41 tff(c_2707, plain, (![B_0_90]: (LE(f(B_0_90), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(suc(B_0_90)))))))), inference(resolution, [status(thm)], [c_293, c_2691])).
% 11.62/4.41 tff(c_2646, plain, (![B_0_224]: (LE(f(B_0_224), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(suc(B_0_224))))))), inference(resolution, [status(thm)], [c_219, c_2621])).
% 11.62/4.41 tff(c_14, plain, (![A_2_7]: (E(f(A_2_7), f(suc(suc(suc(A_2_7))))) | ~E(f(A_2_7), f(suc(A_2_7))) | ~E(s(s(s(0))), f(suc(suc(A_2_7)))) | ~E(s(s(s(0))), f(A_2_7)) | ~E(s(s(s(0))), f(suc(suc(suc(A_2_7))))) | ~E(s(s(s(0))), f(suc(A_2_7))) | ~E(f(A_2_7), f(suc(suc(A_2_7)))))), inference(cnfTransformation, [status(thm)], [f_103])).
% 11.62/4.41 tff(c_3360, plain, (![B_0_280]: (E(f(B_0_280), f(suc(suc(suc(B_0_280))))) | ~E(f(B_0_280), f(suc(B_0_280))) | ~E(s(s(s(0))), f(suc(suc(B_0_280)))) | ~E(s(s(s(0))), f(B_0_280)) | ~E(s(s(s(0))), f(suc(B_0_280))) | ~E(f(B_0_280), f(suc(suc(B_0_280)))) | LE(f(B_0_280), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2646, c_14])).
% 11.62/4.41 tff(c_3391, plain, (![B_0_281]: (E(f(B_0_281), f(suc(suc(suc(B_0_281))))) | ~E(f(B_0_281), f(suc(B_0_281))) | ~E(s(s(s(0))), f(B_0_281)) | ~E(s(s(s(0))), f(suc(B_0_281))) | ~E(f(B_0_281), f(suc(suc(B_0_281)))) | LE(f(B_0_281), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2530, c_3360])).
% 11.62/4.41 tff(c_3420, plain, (![B_0_282]: (E(f(B_0_282), f(suc(suc(suc(B_0_282))))) | ~E(f(B_0_282), f(suc(B_0_282))) | ~E(s(s(s(0))), f(B_0_282)) | ~E(f(B_0_282), f(suc(suc(B_0_282)))) | LE(f(B_0_282), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2429, c_3391])).
% 11.62/4.41 tff(c_52, plain, (![A_2_25]: (~E(f(A_2_25), f(suc(A_2_25))) | ~E(s(s(s(0))), f(suc(suc(A_2_25)))) | ~E(f(A_2_25), f(suc(suc(suc(A_2_25))))) | ~E(s(s(s(0))), f(suc(suc(suc(suc(A_2_25)))))) | ~E(s(s(s(0))), f(A_2_25)) | ~E(s(s(s(0))), f(suc(suc(suc(A_2_25))))) | ~E(s(s(s(0))), f(suc(A_2_25))) | ~E(f(A_2_25), f(suc(suc(A_2_25)))))), inference(cnfTransformation, [status(thm)], [f_327])).
% 11.62/4.41 tff(c_4057, plain, (![B_0_329]: (~E(s(s(s(0))), f(suc(suc(B_0_329)))) | ~E(s(s(s(0))), f(suc(suc(suc(suc(B_0_329)))))) | ~E(s(s(s(0))), f(suc(suc(suc(B_0_329))))) | ~E(s(s(s(0))), f(suc(B_0_329))) | ~E(f(B_0_329), f(suc(B_0_329))) | ~E(s(s(s(0))), f(B_0_329)) | ~E(f(B_0_329), f(suc(suc(B_0_329)))) | LE(f(B_0_329), s(s(s(0)))))), inference(resolution, [status(thm)], [c_3420, c_52])).
% 11.62/4.41 tff(c_4092, plain, (![B_0_330]: (~E(s(s(s(0))), f(suc(suc(B_0_330)))) | ~E(s(s(s(0))), f(suc(suc(suc(B_0_330))))) | ~E(s(s(s(0))), f(suc(B_0_330))) | ~E(f(B_0_330), f(suc(B_0_330))) | ~E(s(s(s(0))), f(B_0_330)) | ~E(f(B_0_330), f(suc(suc(B_0_330)))) | LE(f(B_0_330), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2707, c_4057])).
% 11.62/4.41 tff(c_4125, plain, (![B_0_331]: (~E(s(s(s(0))), f(suc(suc(B_0_331)))) | ~E(s(s(s(0))), f(suc(B_0_331))) | ~E(f(B_0_331), f(suc(B_0_331))) | ~E(s(s(s(0))), f(B_0_331)) | ~E(f(B_0_331), f(suc(suc(B_0_331)))) | LE(f(B_0_331), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2641, c_4092])).
% 11.62/4.41 tff(c_4156, plain, (![B_0_332]: (~E(s(s(s(0))), f(suc(B_0_332))) | ~E(f(B_0_332), f(suc(B_0_332))) | ~E(s(s(s(0))), f(B_0_332)) | ~E(f(B_0_332), f(suc(suc(B_0_332)))) | LE(f(B_0_332), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2530, c_4125])).
% 11.62/4.41 tff(c_4185, plain, (![B_0_333]: (~E(f(B_0_333), f(suc(B_0_333))) | ~E(s(s(s(0))), f(B_0_333)) | ~E(f(B_0_333), f(suc(suc(B_0_333)))) | LE(f(B_0_333), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2429, c_4156])).
% 11.62/4.41 tff(c_4273, plain, (![B_0_334]: (~E(s(s(s(0))), f(B_0_334)) | ~E(f(B_0_334), f(suc(B_0_334))) | LE(f(B_0_334), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2842, c_4185])).
% 11.62/4.41 tff(c_4385, plain, (![B_0_335]: (~E(s(s(s(0))), f(B_0_335)) | LE(f(B_0_335), s(s(s(0)))))), inference(resolution, [status(thm)], [c_2449, c_4273])).
% 11.62/4.41 tff(c_4406, plain, (![B_0_336]: (LE(f(B_0_336), s(s(0))) | E(s(s(0)), f(B_0_336)) | ~E(s(s(s(0))), f(B_0_336)))), inference(resolution, [status(thm)], [c_4385, c_62])).
% 11.62/4.41 tff(c_4443, plain, (![B_337]: (LE(f(B_337), s(s(0))) | E(s(s(0)), f(B_337)))), inference(resolution, [status(thm)], [c_2349, c_4406])).
% 11.62/4.41 tff(c_60, plain, (![B_2_29]: (LE(f(B_2_29), s(0)) | E(s(0), f(B_2_29)) | ~LE(f(B_2_29), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_373])).
% 11.62/4.41 tff(c_4463, plain, (![B_337]: (LE(f(B_337), s(0)) | E(s(0), f(B_337)) | E(s(s(0)), f(B_337)))), inference(resolution, [status(thm)], [c_4443, c_60])).
% 11.62/4.41 tff(c_10, plain, (![B_1_5]: (LE(f(B_1_5), s(s(0))) | E(s(s(0)), f(suc(B_1_5))) | ~LE(f(suc(B_1_5)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_76])).
% 11.62/4.41 tff(c_2348, plain, (![B_1_5]: (LE(f(B_1_5), s(s(0))) | E(s(s(0)), f(suc(B_1_5))) | E(s(s(s(0))), f(suc(B_1_5))))), inference(resolution, [status(thm)], [c_2329, c_10])).
% 11.62/4.41 tff(c_4512, plain, (![B_1_341]: (LE(f(B_1_341), s(s(0))) | E(s(s(0)), f(suc(B_1_341))) | ~E(s(s(s(0))), f(suc(B_1_341))))), inference(resolution, [status(thm)], [c_4385, c_10])).
% 11.62/4.41 tff(c_4545, plain, (![B_1_342]: (LE(f(B_1_342), s(s(0))) | E(s(s(0)), f(suc(B_1_342))))), inference(resolution, [status(thm)], [c_2348, c_4512])).
% 11.62/4.41 tff(c_56, plain, (![A_3_27]: (E(f(A_3_27), f(suc(A_3_27))) | ~E(s(s(0)), f(suc(A_3_27))) | ~E(s(s(0)), f(A_3_27)))), inference(cnfTransformation, [status(thm)], [f_359])).
% 11.62/4.41 tff(c_4560, plain, (![B_1_342]: (E(f(B_1_342), f(suc(B_1_342))) | ~E(s(s(0)), f(B_1_342)) | LE(f(B_1_342), s(s(0))))), inference(resolution, [status(thm)], [c_4545, c_56])).
% 11.62/4.41 tff(c_4544, plain, (![B_1_5]: (LE(f(B_1_5), s(s(0))) | E(s(s(0)), f(suc(B_1_5))))), inference(resolution, [status(thm)], [c_2348, c_4512])).
% 11.62/4.41 tff(c_58, plain, (![B_1_28]: (LE(f(B_1_28), s(s(0))) | E(s(s(0)), f(suc(suc(B_1_28)))) | ~LE(f(suc(suc(B_1_28))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_366])).
% 11.62/4.41 tff(c_2347, plain, (![B_1_28]: (LE(f(B_1_28), s(s(0))) | E(s(s(0)), f(suc(suc(B_1_28)))) | E(s(s(s(0))), f(suc(suc(B_1_28)))))), inference(resolution, [status(thm)], [c_2329, c_58])).
% 11.62/4.41 tff(c_4601, plain, (![B_1_347]: (LE(f(B_1_347), s(s(0))) | E(s(s(0)), f(suc(suc(B_1_347)))) | ~E(s(s(s(0))), f(suc(suc(B_1_347)))))), inference(resolution, [status(thm)], [c_4385, c_58])).
% 11.62/4.41 tff(c_4646, plain, (![B_1_349]: (LE(f(B_1_349), s(s(0))) | E(s(s(0)), f(suc(suc(B_1_349)))))), inference(resolution, [status(thm)], [c_2347, c_4601])).
% 11.62/4.41 tff(c_36, plain, (![A_3_17]: (E(f(A_3_17), f(suc(suc(A_3_17)))) | ~E(s(s(0)), f(A_3_17)) | ~E(f(A_3_17), f(suc(A_3_17))) | ~E(s(s(0)), f(suc(A_3_17))) | ~E(s(s(0)), f(suc(suc(A_3_17)))))), inference(cnfTransformation, [status(thm)], [f_219])).
% 11.62/4.41 tff(c_4834, plain, (![B_1_365]: (E(f(B_1_365), f(suc(suc(B_1_365)))) | ~E(s(s(0)), f(B_1_365)) | ~E(f(B_1_365), f(suc(B_1_365))) | ~E(s(s(0)), f(suc(B_1_365))) | LE(f(B_1_365), s(s(0))))), inference(resolution, [status(thm)], [c_4646, c_36])).
% 11.62/4.41 tff(c_4859, plain, (![B_1_5]: (E(f(B_1_5), f(suc(suc(B_1_5)))) | ~E(s(s(0)), f(B_1_5)) | ~E(f(B_1_5), f(suc(B_1_5))) | LE(f(B_1_5), s(s(0))))), inference(resolution, [status(thm)], [c_4544, c_4834])).
% 11.62/4.41 tff(c_4629, plain, (![B_1_28]: (LE(f(B_1_28), s(s(0))) | E(s(s(0)), f(suc(suc(B_1_28)))))), inference(resolution, [status(thm)], [c_2347, c_4601])).
% 11.62/4.41 tff(c_28, plain, (![B_1_13]: (LE(f(B_1_13), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_1_13))))) | ~LE(f(suc(suc(suc(B_1_13)))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_177])).
% 11.62/4.41 tff(c_2346, plain, (![B_1_13]: (LE(f(B_1_13), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_1_13))))) | E(s(s(s(0))), f(suc(suc(suc(B_1_13))))))), inference(resolution, [status(thm)], [c_2329, c_28])).
% 11.62/4.41 tff(c_4693, plain, (![B_1_353]: (LE(f(B_1_353), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_1_353))))) | ~E(s(s(s(0))), f(suc(suc(suc(B_1_353))))))), inference(resolution, [status(thm)], [c_4385, c_28])).
% 11.62/4.41 tff(c_4716, plain, (![B_1_13]: (LE(f(B_1_13), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_1_13))))))), inference(resolution, [status(thm)], [c_2346, c_4693])).
% 11.62/4.41 tff(c_42, plain, (![B_1_20]: (LE(f(B_1_20), s(s(0))) | E(s(s(0)), f(suc(suc(suc(suc(B_1_20)))))) | ~LE(f(suc(suc(suc(suc(B_1_20))))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_254])).
% 11.62/4.41 tff(c_2345, plain, (![B_1_20]: (LE(f(B_1_20), s(s(0))) | E(s(s(0)), f(suc(suc(suc(suc(B_1_20)))))) | E(s(s(s(0))), f(suc(suc(suc(suc(B_1_20)))))))), inference(resolution, [status(thm)], [c_2329, c_42])).
% 11.62/4.41 tff(c_4736, plain, (![B_1_356]: (LE(f(B_1_356), s(s(0))) | E(s(s(0)), f(suc(suc(suc(suc(B_1_356)))))) | ~E(s(s(s(0))), f(suc(suc(suc(suc(B_1_356)))))))), inference(resolution, [status(thm)], [c_4385, c_42])).
% 11.62/4.41 tff(c_4754, plain, (![B_1_20]: (LE(f(B_1_20), s(s(0))) | E(s(s(0)), f(suc(suc(suc(suc(B_1_20)))))))), inference(resolution, [status(thm)], [c_2345, c_4736])).
% 11.62/4.41 tff(c_4718, plain, (![B_1_354]: (LE(f(B_1_354), s(s(0))) | E(s(s(0)), f(suc(suc(suc(B_1_354))))))), inference(resolution, [status(thm)], [c_2346, c_4693])).
% 11.62/4.41 tff(c_94, plain, (![A_3_46]: (E(f(A_3_46), f(suc(suc(suc(A_3_46))))) | ~E(s(s(0)), f(A_3_46)) | ~E(s(s(0)), f(suc(suc(suc(A_3_46))))) | ~E(f(A_3_46), f(suc(A_3_46))) | ~E(s(s(0)), f(suc(suc(A_3_46)))) | ~E(f(A_3_46), f(suc(suc(A_3_46)))) | ~E(s(s(0)), f(suc(A_3_46))))), inference(cnfTransformation, [status(thm)], [f_532])).
% 11.62/4.41 tff(c_5114, plain, (![B_1_396]: (E(f(B_1_396), f(suc(suc(suc(B_1_396))))) | ~E(s(s(0)), f(B_1_396)) | ~E(f(B_1_396), f(suc(B_1_396))) | ~E(s(s(0)), f(suc(suc(B_1_396)))) | ~E(f(B_1_396), f(suc(suc(B_1_396)))) | ~E(s(s(0)), f(suc(B_1_396))) | LE(f(B_1_396), s(s(0))))), inference(resolution, [status(thm)], [c_4718, c_94])).
% 11.62/4.41 tff(c_5145, plain, (![B_1_397]: (E(f(B_1_397), f(suc(suc(suc(B_1_397))))) | ~E(s(s(0)), f(B_1_397)) | ~E(f(B_1_397), f(suc(B_1_397))) | ~E(f(B_1_397), f(suc(suc(B_1_397)))) | ~E(s(s(0)), f(suc(B_1_397))) | LE(f(B_1_397), s(s(0))))), inference(resolution, [status(thm)], [c_4629, c_5114])).
% 11.62/4.41 tff(c_2, plain, (![A_3_1]: (~E(s(s(0)), f(A_3_1)) | ~E(f(A_3_1), f(suc(suc(suc(A_3_1))))) | ~E(s(s(0)), f(suc(suc(suc(A_3_1))))) | ~E(f(A_3_1), f(suc(A_3_1))) | ~E(s(s(0)), f(suc(suc(A_3_1)))) | ~E(f(A_3_1), f(suc(suc(A_3_1)))) | ~E(s(s(0)), f(suc(suc(suc(suc(A_3_1)))))) | ~E(s(s(0)), f(suc(A_3_1))))), inference(cnfTransformation, [status(thm)], [f_47])).
% 11.62/4.41 tff(c_5466, plain, (![B_1_429]: (~E(s(s(0)), f(suc(suc(suc(B_1_429))))) | ~E(s(s(0)), f(suc(suc(B_1_429)))) | ~E(s(s(0)), f(suc(suc(suc(suc(B_1_429)))))) | ~E(s(s(0)), f(B_1_429)) | ~E(f(B_1_429), f(suc(B_1_429))) | ~E(f(B_1_429), f(suc(suc(B_1_429)))) | ~E(s(s(0)), f(suc(B_1_429))) | LE(f(B_1_429), s(s(0))))), inference(resolution, [status(thm)], [c_5145, c_2])).
% 11.62/4.41 tff(c_5501, plain, (![B_1_430]: (~E(s(s(0)), f(suc(suc(suc(B_1_430))))) | ~E(s(s(0)), f(suc(suc(B_1_430)))) | ~E(s(s(0)), f(B_1_430)) | ~E(f(B_1_430), f(suc(B_1_430))) | ~E(f(B_1_430), f(suc(suc(B_1_430)))) | ~E(s(s(0)), f(suc(B_1_430))) | LE(f(B_1_430), s(s(0))))), inference(resolution, [status(thm)], [c_4754, c_5466])).
% 11.62/4.41 tff(c_5534, plain, (![B_1_431]: (~E(s(s(0)), f(suc(suc(B_1_431)))) | ~E(s(s(0)), f(B_1_431)) | ~E(f(B_1_431), f(suc(B_1_431))) | ~E(f(B_1_431), f(suc(suc(B_1_431)))) | ~E(s(s(0)), f(suc(B_1_431))) | LE(f(B_1_431), s(s(0))))), inference(resolution, [status(thm)], [c_4716, c_5501])).
% 11.62/4.41 tff(c_5565, plain, (![B_1_432]: (~E(s(s(0)), f(B_1_432)) | ~E(f(B_1_432), f(suc(B_1_432))) | ~E(f(B_1_432), f(suc(suc(B_1_432)))) | ~E(s(s(0)), f(suc(B_1_432))) | LE(f(B_1_432), s(s(0))))), inference(resolution, [status(thm)], [c_4629, c_5534])).
% 11.62/4.41 tff(c_5644, plain, (![B_1_433]: (~E(s(s(0)), f(suc(B_1_433))) | ~E(s(s(0)), f(B_1_433)) | ~E(f(B_1_433), f(suc(B_1_433))) | LE(f(B_1_433), s(s(0))))), inference(resolution, [status(thm)], [c_4859, c_5565])).
% 11.62/4.41 tff(c_5673, plain, (![B_1_434]: (~E(s(s(0)), f(B_1_434)) | ~E(f(B_1_434), f(suc(B_1_434))) | LE(f(B_1_434), s(s(0))))), inference(resolution, [status(thm)], [c_4544, c_5644])).
% 11.62/4.41 tff(c_5782, plain, (![B_1_435]: (~E(s(s(0)), f(B_1_435)) | LE(f(B_1_435), s(s(0))))), inference(resolution, [status(thm)], [c_4560, c_5673])).
% 11.62/4.41 tff(c_5803, plain, (![B_1_436]: (LE(f(B_1_436), s(0)) | E(s(0), f(B_1_436)) | ~E(s(s(0)), f(B_1_436)))), inference(resolution, [status(thm)], [c_5782, c_60])).
% 11.62/4.41 tff(c_5840, plain, (![B_437]: (LE(f(B_437), s(0)) | E(s(0), f(B_437)))), inference(resolution, [status(thm)], [c_4463, c_5803])).
% 11.62/4.41 tff(c_86, plain, (![B_3_42]: (LE(f(B_3_42), 0) | E(0, f(B_3_42)) | ~LE(f(B_3_42), s(0)))), inference(cnfTransformation, [status(thm)], [f_477])).
% 11.62/4.41 tff(c_5860, plain, (![B_437]: (LE(f(B_437), 0) | E(0, f(B_437)) | E(s(0), f(B_437)))), inference(resolution, [status(thm)], [c_5840, c_86])).
% 11.62/4.41 tff(c_84, plain, (![B_2_41]: (LE(f(B_2_41), s(0)) | E(s(0), f(suc(B_2_41))) | ~LE(f(suc(B_2_41)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_470])).
% 11.62/4.41 tff(c_4462, plain, (![B_2_41]: (LE(f(B_2_41), s(0)) | E(s(0), f(suc(B_2_41))) | E(s(s(0)), f(suc(B_2_41))))), inference(resolution, [status(thm)], [c_4443, c_84])).
% 11.62/4.41 tff(c_5909, plain, (![B_2_441]: (LE(f(B_2_441), s(0)) | E(s(0), f(suc(B_2_441))) | ~E(s(s(0)), f(suc(B_2_441))))), inference(resolution, [status(thm)], [c_5782, c_84])).
% 11.62/4.41 tff(c_5941, plain, (![B_2_41]: (LE(f(B_2_41), s(0)) | E(s(0), f(suc(B_2_41))))), inference(resolution, [status(thm)], [c_4462, c_5909])).
% 11.62/4.41 tff(c_5942, plain, (![B_2_442]: (LE(f(B_2_442), s(0)) | E(s(0), f(suc(B_2_442))))), inference(resolution, [status(thm)], [c_4462, c_5909])).
% 11.62/4.41 tff(c_44, plain, (![A_4_21]: (E(f(A_4_21), f(suc(A_4_21))) | ~E(s(0), f(suc(A_4_21))) | ~E(s(0), f(A_4_21)))), inference(cnfTransformation, [status(thm)], [f_262])).
% 11.62/4.41 tff(c_5957, plain, (![B_2_442]: (E(f(B_2_442), f(suc(B_2_442))) | ~E(s(0), f(B_2_442)) | LE(f(B_2_442), s(0)))), inference(resolution, [status(thm)], [c_5942, c_44])).
% 11.62/4.41 tff(c_74, plain, (![B_2_36]: (LE(f(B_2_36), s(0)) | E(s(0), f(suc(suc(B_2_36)))) | ~LE(f(suc(suc(B_2_36))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_435])).
% 11.62/4.41 tff(c_4461, plain, (![B_2_36]: (LE(f(B_2_36), s(0)) | E(s(0), f(suc(suc(B_2_36)))) | E(s(s(0)), f(suc(suc(B_2_36)))))), inference(resolution, [status(thm)], [c_4443, c_74])).
% 11.62/4.41 tff(c_5973, plain, (![B_2_445]: (LE(f(B_2_445), s(0)) | E(s(0), f(suc(suc(B_2_445)))) | ~E(s(s(0)), f(suc(suc(B_2_445)))))), inference(resolution, [status(thm)], [c_5782, c_74])).
% 11.62/4.41 tff(c_6001, plain, (![B_2_36]: (LE(f(B_2_36), s(0)) | E(s(0), f(suc(suc(B_2_36)))))), inference(resolution, [status(thm)], [c_4461, c_5973])).
% 11.62/4.41 tff(c_6002, plain, (![B_2_446]: (LE(f(B_2_446), s(0)) | E(s(0), f(suc(suc(B_2_446)))))), inference(resolution, [status(thm)], [c_4461, c_5973])).
% 11.62/4.41 tff(c_30, plain, (![A_4_14]: (E(f(A_4_14), f(suc(suc(A_4_14)))) | ~E(s(0), f(A_4_14)) | ~E(f(A_4_14), f(suc(A_4_14))) | ~E(s(0), f(suc(A_4_14))) | ~E(s(0), f(suc(suc(A_4_14)))))), inference(cnfTransformation, [status(thm)], [f_191])).
% 11.62/4.41 tff(c_6015, plain, (![B_2_446]: (E(f(B_2_446), f(suc(suc(B_2_446)))) | ~E(s(0), f(B_2_446)) | ~E(f(B_2_446), f(suc(B_2_446))) | ~E(s(0), f(suc(B_2_446))) | LE(f(B_2_446), s(0)))), inference(resolution, [status(thm)], [c_6002, c_30])).
% 11.62/4.41 tff(c_82, plain, (![B_2_40]: (LE(f(B_2_40), s(0)) | E(s(0), f(suc(suc(suc(B_2_40))))) | ~LE(f(suc(suc(suc(B_2_40)))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_463])).
% 11.62/4.41 tff(c_4460, plain, (![B_2_40]: (LE(f(B_2_40), s(0)) | E(s(0), f(suc(suc(suc(B_2_40))))) | E(s(s(0)), f(suc(suc(suc(B_2_40))))))), inference(resolution, [status(thm)], [c_4443, c_82])).
% 11.62/4.41 tff(c_6033, plain, (![B_2_451]: (LE(f(B_2_451), s(0)) | E(s(0), f(suc(suc(suc(B_2_451))))) | ~E(s(s(0)), f(suc(suc(suc(B_2_451))))))), inference(resolution, [status(thm)], [c_5782, c_82])).
% 11.62/4.41 tff(c_6056, plain, (![B_2_40]: (LE(f(B_2_40), s(0)) | E(s(0), f(suc(suc(suc(B_2_40))))))), inference(resolution, [status(thm)], [c_4460, c_6033])).
% 11.62/4.41 tff(c_6058, plain, (![B_2_452]: (LE(f(B_2_452), s(0)) | E(s(0), f(suc(suc(suc(B_2_452))))))), inference(resolution, [status(thm)], [c_4460, c_6033])).
% 11.62/4.41 tff(c_50, plain, (![A_4_24]: (E(f(A_4_24), f(suc(suc(suc(A_4_24))))) | ~E(s(0), f(A_4_24)) | ~E(f(A_4_24), f(suc(suc(A_4_24)))) | ~E(s(0), f(suc(A_4_24))) | ~E(s(0), f(suc(suc(suc(A_4_24))))) | ~E(s(0), f(suc(suc(A_4_24)))) | ~E(f(A_4_24), f(suc(A_4_24))))), inference(cnfTransformation, [status(thm)], [f_303])).
% 11.62/4.41 tff(c_6069, plain, (![B_2_452]: (E(f(B_2_452), f(suc(suc(suc(B_2_452))))) | ~E(s(0), f(B_2_452)) | ~E(f(B_2_452), f(suc(suc(B_2_452)))) | ~E(s(0), f(suc(B_2_452))) | ~E(s(0), f(suc(suc(B_2_452)))) | ~E(f(B_2_452), f(suc(B_2_452))) | LE(f(B_2_452), s(0)))), inference(resolution, [status(thm)], [c_6058, c_50])).
% 11.62/4.41 tff(c_78, plain, (![B_2_38]: (LE(f(B_2_38), s(0)) | E(s(0), f(suc(suc(suc(suc(B_2_38)))))) | ~LE(f(suc(suc(suc(suc(B_2_38))))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_449])).
% 11.62/4.41 tff(c_4459, plain, (![B_2_38]: (LE(f(B_2_38), s(0)) | E(s(0), f(suc(suc(suc(suc(B_2_38)))))) | E(s(s(0)), f(suc(suc(suc(suc(B_2_38)))))))), inference(resolution, [status(thm)], [c_4443, c_78])).
% 11.62/4.41 tff(c_6073, plain, (![B_2_454]: (LE(f(B_2_454), s(0)) | E(s(0), f(suc(suc(suc(suc(B_2_454)))))) | ~E(s(s(0)), f(suc(suc(suc(suc(B_2_454)))))))), inference(resolution, [status(thm)], [c_5782, c_78])).
% 11.62/4.41 tff(c_6094, plain, (![B_2_455]: (LE(f(B_2_455), s(0)) | E(s(0), f(suc(suc(suc(suc(B_2_455)))))))), inference(resolution, [status(thm)], [c_4459, c_6073])).
% 11.62/4.41 tff(c_18, plain, (![A_4_9]: (~E(s(0), f(suc(suc(suc(suc(A_4_9)))))) | ~E(s(0), f(A_4_9)) | ~E(f(A_4_9), f(suc(suc(A_4_9)))) | ~E(s(0), f(suc(A_4_9))) | ~E(f(A_4_9), f(suc(suc(suc(A_4_9))))) | ~E(s(0), f(suc(suc(suc(A_4_9))))) | ~E(s(0), f(suc(suc(A_4_9)))) | ~E(f(A_4_9), f(suc(A_4_9))))), inference(cnfTransformation, [status(thm)], [f_134])).
% 11.62/4.41 tff(c_6155, plain, (![B_2_474]: (~E(s(0), f(B_2_474)) | ~E(f(B_2_474), f(suc(suc(B_2_474)))) | ~E(s(0), f(suc(B_2_474))) | ~E(f(B_2_474), f(suc(suc(suc(B_2_474))))) | ~E(s(0), f(suc(suc(suc(B_2_474))))) | ~E(s(0), f(suc(suc(B_2_474)))) | ~E(f(B_2_474), f(suc(B_2_474))) | LE(f(B_2_474), s(0)))), inference(resolution, [status(thm)], [c_6094, c_18])).
% 11.62/4.41 tff(c_6193, plain, (![B_2_476]: (~E(s(0), f(suc(suc(suc(B_2_476))))) | ~E(s(0), f(B_2_476)) | ~E(f(B_2_476), f(suc(suc(B_2_476)))) | ~E(s(0), f(suc(B_2_476))) | ~E(s(0), f(suc(suc(B_2_476)))) | ~E(f(B_2_476), f(suc(B_2_476))) | LE(f(B_2_476), s(0)))), inference(resolution, [status(thm)], [c_6069, c_6155])).
% 11.62/4.41 tff(c_6226, plain, (![B_2_477]: (~E(s(0), f(B_2_477)) | ~E(f(B_2_477), f(suc(suc(B_2_477)))) | ~E(s(0), f(suc(B_2_477))) | ~E(s(0), f(suc(suc(B_2_477)))) | ~E(f(B_2_477), f(suc(B_2_477))) | LE(f(B_2_477), s(0)))), inference(resolution, [status(thm)], [c_6056, c_6193])).
% 11.62/4.41 tff(c_6275, plain, (![B_2_478]: (~E(s(0), f(suc(suc(B_2_478)))) | ~E(s(0), f(B_2_478)) | ~E(f(B_2_478), f(suc(B_2_478))) | ~E(s(0), f(suc(B_2_478))) | LE(f(B_2_478), s(0)))), inference(resolution, [status(thm)], [c_6015, c_6226])).
% 11.62/4.41 tff(c_6306, plain, (![B_2_479]: (~E(s(0), f(B_2_479)) | ~E(f(B_2_479), f(suc(B_2_479))) | ~E(s(0), f(suc(B_2_479))) | LE(f(B_2_479), s(0)))), inference(resolution, [status(thm)], [c_6001, c_6275])).
% 11.62/4.41 tff(c_6364, plain, (![B_2_480]: (~E(s(0), f(suc(B_2_480))) | ~E(s(0), f(B_2_480)) | LE(f(B_2_480), s(0)))), inference(resolution, [status(thm)], [c_5957, c_6306])).
% 11.62/4.41 tff(c_6401, plain, (![B_2_481]: (~E(s(0), f(B_2_481)) | LE(f(B_2_481), s(0)))), inference(resolution, [status(thm)], [c_5941, c_6364])).
% 11.62/4.41 tff(c_6422, plain, (![B_2_482]: (LE(f(B_2_482), 0) | E(0, f(B_2_482)) | ~E(s(0), f(B_2_482)))), inference(resolution, [status(thm)], [c_6401, c_86])).
% 11.62/4.41 tff(c_6459, plain, (![B_483]: (LE(f(B_483), 0) | E(0, f(B_483)))), inference(resolution, [status(thm)], [c_5860, c_6422])).
% 11.62/4.41 tff(c_22, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_143])).
% 11.62/4.41 tff(c_6463, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_6459, c_22])).
% 11.62/4.41 tff(c_80, plain, (![B_3_39]: (LE(f(B_3_39), 0) | E(0, f(suc(B_3_39))) | ~LE(f(suc(B_3_39)), s(0)))), inference(cnfTransformation, [status(thm)], [f_456])).
% 11.62/4.41 tff(c_5859, plain, (![B_3_39]: (LE(f(B_3_39), 0) | E(0, f(suc(B_3_39))) | E(s(0), f(suc(B_3_39))))), inference(resolution, [status(thm)], [c_5840, c_80])).
% 11.62/4.41 tff(c_6464, plain, (![B_3_484]: (LE(f(B_3_484), 0) | E(0, f(suc(B_3_484))) | ~E(s(0), f(suc(B_3_484))))), inference(resolution, [status(thm)], [c_6401, c_80])).
% 11.62/4.41 tff(c_6496, plain, (![B_3_39]: (LE(f(B_3_39), 0) | E(0, f(suc(B_3_39))))), inference(resolution, [status(thm)], [c_5859, c_6464])).
% 11.62/4.41 tff(c_76, plain, (![B_3_37]: (LE(f(B_3_37), 0) | E(0, f(suc(suc(B_3_37)))) | ~LE(f(suc(suc(B_3_37))), s(0)))), inference(cnfTransformation, [status(thm)], [f_442])).
% 11.62/4.41 tff(c_5858, plain, (![B_3_37]: (LE(f(B_3_37), 0) | E(0, f(suc(suc(B_3_37)))) | E(s(0), f(suc(suc(B_3_37)))))), inference(resolution, [status(thm)], [c_5840, c_76])).
% 11.62/4.41 tff(c_6502, plain, (![B_3_486]: (LE(f(B_3_486), 0) | E(0, f(suc(suc(B_3_486)))) | ~E(s(0), f(suc(suc(B_3_486)))))), inference(resolution, [status(thm)], [c_6401, c_76])).
% 11.62/4.41 tff(c_6530, plain, (![B_3_37]: (LE(f(B_3_37), 0) | E(0, f(suc(suc(B_3_37)))))), inference(resolution, [status(thm)], [c_5858, c_6502])).
% 11.62/4.41 tff(c_4, plain, (![A_5_2]: (E(f(A_5_2), f(suc(A_5_2))) | ~E(0, f(suc(A_5_2))) | ~E(0, f(A_5_2)))), inference(cnfTransformation, [status(thm)], [f_55])).
% 11.62/4.41 tff(c_26, plain, (![B_3_12]: (LE(f(B_3_12), 0) | E(0, f(suc(suc(suc(B_3_12))))) | ~LE(f(suc(suc(suc(B_3_12)))), s(0)))), inference(cnfTransformation, [status(thm)], [f_170])).
% 11.62/4.41 tff(c_5857, plain, (![B_3_12]: (LE(f(B_3_12), 0) | E(0, f(suc(suc(suc(B_3_12))))) | E(s(0), f(suc(suc(suc(B_3_12))))))), inference(resolution, [status(thm)], [c_5840, c_26])).
% 11.62/4.41 tff(c_6536, plain, (![B_3_488]: (LE(f(B_3_488), 0) | E(0, f(suc(suc(suc(B_3_488))))) | ~E(s(0), f(suc(suc(suc(B_3_488))))))), inference(resolution, [status(thm)], [c_6401, c_26])).
% 11.62/4.41 tff(c_6559, plain, (![B_3_12]: (LE(f(B_3_12), 0) | E(0, f(suc(suc(suc(B_3_12))))))), inference(resolution, [status(thm)], [c_5857, c_6536])).
% 11.62/4.41 tff(c_40, plain, (![A_5_19]: (E(f(A_5_19), f(suc(suc(A_5_19)))) | ~E(0, f(A_5_19)) | ~E(f(A_5_19), f(suc(A_5_19))) | ~E(0, f(suc(A_5_19))) | ~E(0, f(suc(suc(A_5_19)))))), inference(cnfTransformation, [status(thm)], [f_247])).
% 11.62/4.41 tff(c_34, plain, (![B_3_16]: (LE(f(B_3_16), 0) | E(0, f(suc(suc(suc(suc(B_3_16)))))) | ~LE(f(suc(suc(suc(suc(B_3_16))))), s(0)))), inference(cnfTransformation, [status(thm)], [f_205])).
% 11.62/4.41 tff(c_5856, plain, (![B_3_16]: (LE(f(B_3_16), 0) | E(0, f(suc(suc(suc(suc(B_3_16)))))) | E(s(0), f(suc(suc(suc(suc(B_3_16)))))))), inference(resolution, [status(thm)], [c_5840, c_34])).
% 11.62/4.41 tff(c_6566, plain, (![B_3_490]: (LE(f(B_3_490), 0) | E(0, f(suc(suc(suc(suc(B_3_490)))))) | ~E(s(0), f(suc(suc(suc(suc(B_3_490)))))))), inference(resolution, [status(thm)], [c_6401, c_34])).
% 11.62/4.41 tff(c_6587, plain, (![B_3_491]: (LE(f(B_3_491), 0) | E(0, f(suc(suc(suc(suc(B_3_491)))))))), inference(resolution, [status(thm)], [c_5856, c_6566])).
% 11.62/4.41 tff(c_92, plain, (![A_5_45]: (E(f(A_5_45), f(suc(suc(suc(A_5_45))))) | ~E(f(A_5_45), f(suc(suc(A_5_45)))) | ~E(f(A_5_45), f(suc(A_5_45))) | ~E(0, f(suc(suc(A_5_45)))) | ~E(0, f(suc(A_5_45))) | ~E(0, f(suc(suc(suc(A_5_45))))) | ~E(0, f(A_5_45)))), inference(cnfTransformation, [status(thm)], [f_512])).
% 11.62/4.41 tff(c_619, plain, (![A_5_117]: (~E(f(A_5_117), f(suc(suc(A_5_117)))) | ~E(f(A_5_117), f(suc(suc(suc(A_5_117))))) | ~E(f(A_5_117), f(suc(A_5_117))) | ~E(0, f(suc(suc(A_5_117)))) | ~E(0, f(suc(A_5_117))) | ~E(0, f(suc(suc(suc(A_5_117))))) | ~E(0, f(A_5_117)) | ~E(0, f(suc(suc(suc(suc(A_5_117)))))))), inference(cnfTransformation, [status(thm)], [f_351])).
% 11.62/4.41 tff(c_623, plain, (![A_5_45]: (~E(0, f(suc(suc(suc(suc(A_5_45)))))) | ~E(f(A_5_45), f(suc(suc(A_5_45)))) | ~E(f(A_5_45), f(suc(A_5_45))) | ~E(0, f(suc(suc(A_5_45)))) | ~E(0, f(suc(A_5_45))) | ~E(0, f(suc(suc(suc(A_5_45))))) | ~E(0, f(A_5_45)))), inference(resolution, [status(thm)], [c_92, c_619])).
% 11.62/4.41 tff(c_6598, plain, (![B_3_493]: (~E(f(B_3_493), f(suc(suc(B_3_493)))) | ~E(f(B_3_493), f(suc(B_3_493))) | ~E(0, f(suc(suc(B_3_493)))) | ~E(0, f(suc(B_3_493))) | ~E(0, f(suc(suc(suc(B_3_493))))) | ~E(0, f(B_3_493)) | LE(f(B_3_493), 0))), inference(resolution, [status(thm)], [c_6587, c_623])).
% 11.62/4.41 tff(c_6635, plain, (![A_5_494]: (~E(0, f(suc(suc(suc(A_5_494))))) | LE(f(A_5_494), 0) | ~E(0, f(A_5_494)) | ~E(f(A_5_494), f(suc(A_5_494))) | ~E(0, f(suc(A_5_494))) | ~E(0, f(suc(suc(A_5_494)))))), inference(resolution, [status(thm)], [c_40, c_6598])).
% 11.62/4.41 tff(c_6650, plain, (![B_3_495]: (~E(0, f(B_3_495)) | ~E(f(B_3_495), f(suc(B_3_495))) | ~E(0, f(suc(B_3_495))) | ~E(0, f(suc(suc(B_3_495)))) | LE(f(B_3_495), 0))), inference(resolution, [status(thm)], [c_6559, c_6635])).
% 11.62/4.41 tff(c_6703, plain, (![A_5_496]: (~E(0, f(suc(suc(A_5_496)))) | LE(f(A_5_496), 0) | ~E(0, f(suc(A_5_496))) | ~E(0, f(A_5_496)))), inference(resolution, [status(thm)], [c_4, c_6650])).
% 11.62/4.41 tff(c_6720, plain, (![B_3_497]: (~E(0, f(suc(B_3_497))) | ~E(0, f(B_3_497)) | LE(f(B_3_497), 0))), inference(resolution, [status(thm)], [c_6530, c_6703])).
% 11.62/4.41 tff(c_6737, plain, (![B_3_498]: (~E(0, f(B_3_498)) | LE(f(B_3_498), 0))), inference(resolution, [status(thm)], [c_6496, c_6720])).
% 11.62/4.41 tff(c_6740, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_6737, c_22])).
% 11.62/4.41 tff(c_6744, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_6463, c_6740])).
% 11.62/4.41 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.62/4.41
% 11.62/4.41 Inference rules
% 11.62/4.41 ----------------------
% 11.62/4.41 #Ref : 0
% 11.62/4.41 #Sup : 1839
% 11.62/4.41 #Fact : 0
% 11.62/4.41 #Define : 0
% 11.62/4.41 #Split : 0
% 11.62/4.41 #Chain : 0
% 11.62/4.41 #Close : 0
% 11.62/4.41
% 11.62/4.41 Ordering : KBO
% 11.62/4.41
% 11.62/4.41 Simplification rules
% 11.62/4.41 ----------------------
% 11.62/4.41 #Subsume : 1348
% 11.62/4.41 #Demod : 6
% 11.62/4.41 #Tautology : 9
% 11.62/4.41 #SimpNegUnit : 0
% 11.62/4.41 #BackRed : 0
% 11.62/4.41
% 11.62/4.41 #Partial instantiations: 0
% 11.62/4.41 #Strategies tried : 1
% 11.62/4.41
% 11.62/4.41 Timing (in seconds)
% 11.62/4.41 ----------------------
% 11.62/4.41 Preprocessing : 0.65
% 11.62/4.41 Parsing : 0.36
% 11.62/4.41 CNF conversion : 0.04
% 11.62/4.41 Main loop : 2.53
% 11.62/4.41 Inferencing : 0.80
% 11.62/4.41 Reduction : 0.43
% 11.62/4.41 Demodulation : 0.26
% 11.62/4.41 BG Simplification : 0.06
% 11.62/4.41 Subsumption : 1.09
% 11.62/4.41 Abstraction : 0.06
% 11.62/4.41 MUC search : 0.00
% 11.62/4.41 Cooper : 0.00
% 11.62/4.41 Total : 3.28
% 11.62/4.41 Index Insertion : 0.00
% 11.62/4.41 Index Deletion : 0.00
% 11.62/4.41 Index Matching : 0.00
% 11.62/4.41 BG Taut test : 0.00
%------------------------------------------------------------------------------