TSTP Solution File: SYO677-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO677-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n005.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 19.84s 10.16s
% Output : CNFRefutation 19.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO677-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 15:48:26 EDT 2023
% 0.14/0.36 % CPUTime :
% 19.84/10.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.84/10.18
% 19.84/10.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.84/10.19 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 19.84/10.19
% 19.84/10.19 %Foreground sorts:
% 19.84/10.19
% 19.84/10.19
% 19.84/10.19 %Background operators:
% 19.84/10.19
% 19.84/10.19
% 19.84/10.19 %Foreground operators:
% 19.84/10.19 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 19.84/10.19 tff(s, type, s: $i > $i).
% 19.84/10.19 tff(f, type, f: $i > $i).
% 19.84/10.19 tff(0, type, 0: $i).
% 19.84/10.19 tff(LE, type, LE: ($i * $i) > $o).
% 19.84/10.19 tff(suc, type, suc: $i > $i).
% 19.84/10.19 tff(z, type, z: $i).
% 19.84/10.19 tff(E, type, E: ($i * $i) > $o).
% 19.84/10.19
% 19.84/10.23 tff(f_287, axiom, (![A]: LE(f(A), s(s(s(s(0)))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_266, axiom, (![B_4]: ((~LE(f(B_4), s(s(s(s(0))))) | E(s(s(s(0))), f(B_4))) | LE(f(B_4), s(s(s(0)))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_294, axiom, (![B_9]: ((~LE(f(B_9), s(s(s(0)))) | E(s(s(0)), f(B_9))) | LE(f(B_9), s(s(0))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_182, axiom, (![B_4]: ((~LE(f(suc(B_4)), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(B_4)))) | LE(f(B_4), s(s(s(0)))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_80, axiom, (![B_4]: ((~LE(f(suc(suc(B_4))), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(suc(B_4))))) | LE(f(B_4), s(s(s(0)))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_492, axiom, (![A_1]: (((~E(s(s(s(0))), f(A_1)) | ~E(s(s(s(0))), f(suc(A_1)))) | E(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_358, axiom, (![A_1]: ((((~E(s(s(s(0))), f(suc(suc(A_1)))) | ~E(s(s(s(0))), f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(s(s(0))), f(A_1))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_201, axiom, (![B_5, A_1]: ((((((~E(s(s(s(0))), f(suc(B_5))) | ~iLEQ(suc(A_1), suc(B_5))) | ~E(s(s(s(0))), f(B_5))) | ~E(s(s(s(0))), f(A_1))) | ~E(s(s(s(0))), f(suc(A_1)))) | E(f(A_1), f(suc(A_1)))) | E(f(B_5), f(suc(B_5))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_475, axiom, (![B_5, A_1]: ((((((((~E(s(s(s(0))), f(suc(B_5))) | ~E(f(B_5), f(suc(B_5)))) | ~iLEQ(suc(A_1), suc(B_5))) | ~E(s(s(s(0))), f(B_5))) | ~E(s(s(s(0))), f(A_1))) | ~E(s(s(s(0))), f(suc(suc(A_1))))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(s(s(0))), f(suc(suc(B_5))))) | ~E(s(s(s(0))), f(suc(A_1))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_152, axiom, (![B_13]: ((~LE(f(B_13), s(s(0))) | E(s(0), f(B_13))) | LE(f(B_13), s(0)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_482, axiom, (![B_9]: ((~LE(f(suc(B_9)), s(s(s(0)))) | E(s(s(0)), f(suc(B_9)))) | LE(f(B_9), s(s(0))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_259, axiom, (![B_9]: ((~LE(f(suc(suc(B_9))), s(s(s(0)))) | E(s(s(0)), f(suc(suc(B_9))))) | LE(f(B_9), s(s(0))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_525, axiom, (![A_2]: (((~E(s(s(0)), f(A_2)) | ~E(s(s(0)), f(suc(A_2)))) | E(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_238, axiom, (![A_2]: ((((~E(s(s(0)), f(suc(suc(A_2)))) | ~E(s(s(0)), f(suc(A_2)))) | ~E(f(A_2), f(suc(A_2)))) | ~E(s(s(0)), f(A_2))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_145, axiom, (![B_10, A_2]: ((((((~E(s(s(0)), f(B_10)) | ~E(s(s(0)), f(suc(A_2)))) | ~iLEQ(suc(A_2), suc(B_10))) | ~E(s(s(0)), f(suc(B_10)))) | ~E(s(s(0)), f(A_2))) | E(f(A_2), f(suc(A_2)))) | E(f(B_10), f(suc(B_10))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_50, axiom, (![B_10, A_2]: ((((((((~E(s(s(0)), f(B_10)) | ~E(s(s(0)), f(suc(A_2)))) | ~E(f(B_10), f(suc(B_10)))) | ~iLEQ(suc(A_2), suc(B_10))) | ~E(s(s(0)), f(suc(B_10)))) | ~E(s(s(0)), f(suc(suc(A_2))))) | ~E(s(s(0)), f(A_2))) | ~E(f(A_2), f(suc(A_2)))) | ~E(s(s(0)), f(suc(suc(B_10)))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_252, axiom, (![B_16]: ((~LE(f(B_16), s(0)) | E(0, f(B_16))) | LE(f(B_16), 0))), file('unknown', unknown)).
% 19.84/10.23 tff(f_389, axiom, (![B_13]: ((~LE(f(suc(B_13)), s(s(0))) | E(s(0), f(suc(B_13)))) | LE(f(B_13), s(0)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_419, axiom, (![B_13]: ((~LE(f(suc(suc(B_13))), s(s(0))) | E(s(0), f(suc(suc(B_13))))) | LE(f(B_13), s(0)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_561, axiom, (![A_3]: (((~E(s(0), f(A_3)) | ~E(s(0), f(suc(A_3)))) | E(f(A_3), f(suc(A_3)))) | iLEQ(suc(A_3), suc(A_3)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_382, axiom, (![A_3]: ((((~E(s(0), f(suc(suc(A_3)))) | ~E(s(0), f(suc(A_3)))) | ~E(f(A_3), f(suc(A_3)))) | ~E(s(0), f(A_3))) | iLEQ(suc(A_3), suc(A_3)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_544, axiom, (![B_14, A_3]: ((((((~E(s(0), f(suc(B_14))) | ~E(s(0), f(suc(A_3)))) | ~E(s(0), f(B_14))) | ~E(s(0), f(A_3))) | ~iLEQ(suc(A_3), suc(B_14))) | E(f(A_3), f(suc(A_3)))) | E(f(B_14), f(suc(B_14))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_448, axiom, (![B_14, A_3]: ((((((((~E(s(0), f(suc(B_14))) | ~E(s(0), f(suc(suc(B_14))))) | ~E(s(0), f(suc(A_3)))) | ~E(s(0), f(B_14))) | ~E(f(B_14), f(suc(B_14)))) | ~E(f(A_3), f(suc(A_3)))) | ~E(s(0), f(A_3))) | ~E(s(0), f(suc(suc(A_3))))) | ~iLEQ(suc(A_3), suc(B_14)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_421, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 19.84/10.23 tff(f_245, axiom, (![B_16]: ((~LE(f(suc(B_16)), s(0)) | E(0, f(suc(B_16)))) | LE(f(B_16), 0))), file('unknown', unknown)).
% 19.84/10.23 tff(f_551, axiom, (![B_16]: ((~LE(f(suc(suc(B_16))), s(0)) | E(0, f(suc(suc(B_16))))) | LE(f(B_16), 0))), file('unknown', unknown)).
% 19.84/10.23 tff(f_368, axiom, (![A_4]: (((~E(0, f(A_4)) | ~E(0, f(suc(A_4)))) | E(f(A_4), f(suc(A_4)))) | iLEQ(suc(A_4), suc(A_4)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_575, axiom, (![A_4]: ((((~E(0, f(suc(suc(A_4)))) | ~E(0, f(suc(A_4)))) | ~E(f(A_4), f(suc(A_4)))) | ~E(0, f(A_4))) | iLEQ(suc(A_4), suc(A_4)))), file('unknown', unknown)).
% 19.84/10.23 tff(f_285, axiom, (![B_17, A_4]: ((((((~E(0, f(suc(B_17))) | ~iLEQ(suc(A_4), suc(B_17))) | ~E(0, f(B_17))) | ~E(0, f(suc(A_4)))) | ~E(0, f(A_4))) | E(f(A_4), f(suc(A_4)))) | E(f(B_17), f(suc(B_17))))), file('unknown', unknown)).
% 19.84/10.23 tff(f_321, axiom, (![A_4, B_17]: ((((((((~E(f(A_4), f(suc(A_4))) | ~E(0, f(suc(B_17)))) | ~iLEQ(suc(A_4), suc(B_17))) | ~E(0, f(suc(suc(B_17))))) | ~E(0, f(suc(suc(A_4))))) | ~E(0, f(B_17))) | ~E(0, f(suc(A_4)))) | ~E(f(B_17), f(suc(B_17)))) | ~E(0, f(A_4)))), file('unknown', unknown)).
% 19.84/10.23 tff(c_36, plain, (![A_27]: (LE(f(A_27), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_287])).
% 19.84/10.23 tff(c_32, plain, (![B_4_24]: (LE(f(B_4_24), s(s(s(0)))) | E(s(s(s(0))), f(B_4_24)) | ~LE(f(B_4_24), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_266])).
% 19.84/10.23 tff(c_78, plain, (![B_4_24]: (LE(f(B_4_24), s(s(s(0)))) | E(s(s(s(0))), f(B_4_24)))), inference(demodulation, [status(thm), theory('equality')], [c_36, c_32])).
% 19.84/10.23 tff(c_92, plain, (![B_9_63]: (LE(f(B_9_63), s(s(0))) | E(s(s(0)), f(B_9_63)) | ~LE(f(B_9_63), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_294])).
% 19.84/10.23 tff(c_96, plain, (![B_4_24]: (LE(f(B_4_24), s(s(0))) | E(s(s(0)), f(B_4_24)) | E(s(s(s(0))), f(B_4_24)))), inference(resolution, [status(thm)], [c_78, c_92])).
% 19.84/10.23 tff(c_18, plain, (![B_4_15]: (LE(f(B_4_15), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_4_15))) | ~LE(f(suc(B_4_15)), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_182])).
% 19.84/10.23 tff(c_80, plain, (![B_4_15]: (LE(f(B_4_15), s(s(s(0)))) | E(s(s(s(0))), f(suc(B_4_15))))), inference(demodulation, [status(thm), theory('equality')], [c_36, c_18])).
% 19.84/10.23 tff(c_6, plain, (![B_4_5]: (LE(f(B_4_5), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_4_5)))) | ~LE(f(suc(suc(B_4_5))), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_80])).
% 19.84/10.23 tff(c_82, plain, (![B_4_5]: (LE(f(B_4_5), s(s(s(0)))) | E(s(s(s(0))), f(suc(suc(B_4_5)))))), inference(demodulation, [status(thm), theory('equality')], [c_36, c_6])).
% 19.84/10.23 tff(c_120, plain, (![A_1_75]: (iLEQ(suc(A_1_75), suc(A_1_75)) | E(f(A_1_75), f(suc(A_1_75))) | ~E(s(s(s(0))), f(suc(A_1_75))) | ~E(s(s(s(0))), f(A_1_75)))), inference(cnfTransformation, [status(thm)], [f_492])).
% 19.84/10.23 tff(c_136, plain, (![B_4_15]: (iLEQ(suc(B_4_15), suc(B_4_15)) | E(f(B_4_15), f(suc(B_4_15))) | ~E(s(s(s(0))), f(B_4_15)) | LE(f(B_4_15), s(s(s(0)))))), inference(resolution, [status(thm)], [c_80, c_120])).
% 19.84/10.23 tff(c_259, plain, (![A_1_89]: (iLEQ(suc(A_1_89), suc(A_1_89)) | ~E(s(s(s(0))), f(A_1_89)) | ~E(f(A_1_89), f(suc(A_1_89))) | ~E(s(s(s(0))), f(suc(A_1_89))) | ~E(s(s(s(0))), f(suc(suc(A_1_89)))))), inference(cnfTransformation, [status(thm)], [f_358])).
% 19.84/10.23 tff(c_332, plain, (![B_4_99]: (~E(s(s(s(0))), f(suc(B_4_99))) | ~E(s(s(s(0))), f(suc(suc(B_4_99)))) | iLEQ(suc(B_4_99), suc(B_4_99)) | ~E(s(s(s(0))), f(B_4_99)) | LE(f(B_4_99), s(s(s(0)))))), inference(resolution, [status(thm)], [c_136, c_259])).
% 19.84/10.23 tff(c_351, plain, (![B_4_100]: (~E(s(s(s(0))), f(suc(B_4_100))) | iLEQ(suc(B_4_100), suc(B_4_100)) | ~E(s(s(s(0))), f(B_4_100)) | LE(f(B_4_100), s(s(s(0)))))), inference(resolution, [status(thm)], [c_82, c_332])).
% 19.84/10.23 tff(c_367, plain, (![B_4_15]: (iLEQ(suc(B_4_15), suc(B_4_15)) | ~E(s(s(s(0))), f(B_4_15)) | LE(f(B_4_15), s(s(s(0)))))), inference(resolution, [status(thm)], [c_80, c_351])).
% 19.84/10.23 tff(c_569, plain, (![B_5_119, A_1_120]: (E(f(B_5_119), f(suc(B_5_119))) | E(f(A_1_120), f(suc(A_1_120))) | ~E(s(s(s(0))), f(suc(A_1_120))) | ~E(s(s(s(0))), f(A_1_120)) | ~E(s(s(s(0))), f(B_5_119)) | ~iLEQ(suc(A_1_120), suc(B_5_119)) | ~E(s(s(s(0))), f(suc(B_5_119))))), inference(cnfTransformation, [status(thm)], [f_201])).
% 19.84/10.23 tff(c_1060, plain, (![B_5_154, B_4_155]: (E(f(B_5_154), f(suc(B_5_154))) | E(f(B_4_155), f(suc(B_4_155))) | ~E(s(s(s(0))), f(B_4_155)) | ~E(s(s(s(0))), f(B_5_154)) | ~iLEQ(suc(B_4_155), suc(B_5_154)) | ~E(s(s(s(0))), f(suc(B_5_154))) | LE(f(B_4_155), s(s(s(0)))))), inference(resolution, [status(thm)], [c_80, c_569])).
% 19.84/10.23 tff(c_1079, plain, (![B_4_156]: (E(f(B_4_156), f(suc(B_4_156))) | ~E(s(s(s(0))), f(suc(B_4_156))) | ~E(s(s(s(0))), f(B_4_156)) | LE(f(B_4_156), s(s(s(0)))))), inference(resolution, [status(thm)], [c_367, c_1060])).
% 19.84/10.23 tff(c_1095, plain, (![B_4_15]: (E(f(B_4_15), f(suc(B_4_15))) | ~E(s(s(s(0))), f(B_4_15)) | LE(f(B_4_15), s(s(s(0)))))), inference(resolution, [status(thm)], [c_80, c_1079])).
% 19.84/10.23 tff(c_1024, plain, (![A_1_151, B_5_152]: (~E(s(s(s(0))), f(suc(A_1_151))) | ~E(s(s(s(0))), f(suc(suc(B_5_152)))) | ~E(f(A_1_151), f(suc(A_1_151))) | ~E(s(s(s(0))), f(suc(suc(A_1_151)))) | ~E(s(s(s(0))), f(A_1_151)) | ~E(s(s(s(0))), f(B_5_152)) | ~iLEQ(suc(A_1_151), suc(B_5_152)) | ~E(f(B_5_152), f(suc(B_5_152))) | ~E(s(s(s(0))), f(suc(B_5_152))))), inference(cnfTransformation, [status(thm)], [f_475])).
% 19.84/10.23 tff(c_1503, plain, (![A_1_178, B_4_179]: (~E(s(s(s(0))), f(suc(A_1_178))) | ~E(f(A_1_178), f(suc(A_1_178))) | ~E(s(s(s(0))), f(suc(suc(A_1_178)))) | ~E(s(s(s(0))), f(A_1_178)) | ~E(s(s(s(0))), f(B_4_179)) | ~iLEQ(suc(A_1_178), suc(B_4_179)) | ~E(f(B_4_179), f(suc(B_4_179))) | ~E(s(s(s(0))), f(suc(B_4_179))) | LE(f(B_4_179), s(s(s(0)))))), inference(resolution, [status(thm)], [c_82, c_1024])).
% 19.84/10.23 tff(c_18818, plain, (![B_4_617, B_4_618]: (~E(s(s(s(0))), f(suc(B_4_617))) | ~E(s(s(s(0))), f(suc(suc(B_4_617)))) | ~E(s(s(s(0))), f(B_4_618)) | ~iLEQ(suc(B_4_617), suc(B_4_618)) | ~E(f(B_4_618), f(suc(B_4_618))) | ~E(s(s(s(0))), f(suc(B_4_618))) | LE(f(B_4_618), s(s(s(0)))) | ~E(s(s(s(0))), f(B_4_617)) | LE(f(B_4_617), s(s(s(0)))))), inference(resolution, [status(thm)], [c_1095, c_1503])).
% 19.84/10.23 tff(c_18837, plain, (![B_4_619, B_4_620]: (~E(s(s(s(0))), f(suc(B_4_619))) | ~E(s(s(s(0))), f(B_4_620)) | ~iLEQ(suc(B_4_619), suc(B_4_620)) | ~E(f(B_4_620), f(suc(B_4_620))) | ~E(s(s(s(0))), f(suc(B_4_620))) | LE(f(B_4_620), s(s(s(0)))) | ~E(s(s(s(0))), f(B_4_619)) | LE(f(B_4_619), s(s(s(0)))))), inference(resolution, [status(thm)], [c_82, c_18818])).
% 19.84/10.23 tff(c_18854, plain, (![B_4_621, B_4_622]: (~E(s(s(s(0))), f(B_4_621)) | ~iLEQ(suc(B_4_622), suc(B_4_621)) | ~E(f(B_4_621), f(suc(B_4_621))) | ~E(s(s(s(0))), f(suc(B_4_621))) | LE(f(B_4_621), s(s(s(0)))) | ~E(s(s(s(0))), f(B_4_622)) | LE(f(B_4_622), s(s(s(0)))))), inference(resolution, [status(thm)], [c_80, c_18837])).
% 19.84/10.23 tff(c_18996, plain, (![B_4_623]: (~E(f(B_4_623), f(suc(B_4_623))) | ~E(s(s(s(0))), f(suc(B_4_623))) | ~E(s(s(s(0))), f(B_4_623)) | LE(f(B_4_623), s(s(s(0)))))), inference(resolution, [status(thm)], [c_367, c_18854])).
% 19.84/10.23 tff(c_19177, plain, (![B_4_624]: (~E(s(s(s(0))), f(suc(B_4_624))) | ~E(s(s(s(0))), f(B_4_624)) | LE(f(B_4_624), s(s(s(0)))))), inference(resolution, [status(thm)], [c_1095, c_18996])).
% 19.84/10.23 tff(c_19198, plain, (![B_4_625]: (~E(s(s(s(0))), f(B_4_625)) | LE(f(B_4_625), s(s(s(0)))))), inference(resolution, [status(thm)], [c_80, c_19177])).
% 19.84/10.23 tff(c_38, plain, (![B_9_28]: (LE(f(B_9_28), s(s(0))) | E(s(s(0)), f(B_9_28)) | ~LE(f(B_9_28), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_294])).
% 19.84/10.23 tff(c_19211, plain, (![B_4_626]: (LE(f(B_4_626), s(s(0))) | E(s(s(0)), f(B_4_626)) | ~E(s(s(s(0))), f(B_4_626)))), inference(resolution, [status(thm)], [c_19198, c_38])).
% 19.84/10.23 tff(c_19232, plain, (![B_4_627]: (LE(f(B_4_627), s(s(0))) | E(s(s(0)), f(B_4_627)))), inference(resolution, [status(thm)], [c_96, c_19211])).
% 19.84/10.23 tff(c_14, plain, (![B_13_12]: (LE(f(B_13_12), s(0)) | E(s(0), f(B_13_12)) | ~LE(f(B_13_12), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_152])).
% 19.84/10.23 tff(c_19244, plain, (![B_4_627]: (LE(f(B_4_627), s(0)) | E(s(0), f(B_4_627)) | E(s(s(0)), f(B_4_627)))), inference(resolution, [status(thm)], [c_19232, c_14])).
% 19.84/10.23 tff(c_100, plain, (![B_9_67]: (LE(f(B_9_67), s(s(0))) | E(s(s(0)), f(suc(B_9_67))) | ~LE(f(suc(B_9_67)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_482])).
% 19.84/10.23 tff(c_104, plain, (![B_9_67]: (LE(f(B_9_67), s(s(0))) | E(s(s(0)), f(suc(B_9_67))) | E(s(s(s(0))), f(suc(B_9_67))))), inference(resolution, [status(thm)], [c_78, c_100])).
% 19.84/10.23 tff(c_62, plain, (![B_9_44]: (LE(f(B_9_44), s(s(0))) | E(s(s(0)), f(suc(B_9_44))) | ~LE(f(suc(B_9_44)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_482])).
% 19.84/10.23 tff(c_19425, plain, (![B_9_631]: (LE(f(B_9_631), s(s(0))) | E(s(s(0)), f(suc(B_9_631))) | ~E(s(s(s(0))), f(suc(B_9_631))))), inference(resolution, [status(thm)], [c_19198, c_62])).
% 19.84/10.23 tff(c_19439, plain, (![B_9_67]: (LE(f(B_9_67), s(s(0))) | E(s(s(0)), f(suc(B_9_67))))), inference(resolution, [status(thm)], [c_104, c_19425])).
% 19.84/10.23 tff(c_107, plain, (![B_9_70]: (LE(f(B_9_70), s(s(0))) | E(s(s(0)), f(suc(suc(B_9_70)))) | ~LE(f(suc(suc(B_9_70))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_259])).
% 19.84/10.23 tff(c_111, plain, (![B_9_70]: (LE(f(B_9_70), s(s(0))) | E(s(s(0)), f(suc(suc(B_9_70)))) | E(s(s(s(0))), f(suc(suc(B_9_70)))))), inference(resolution, [status(thm)], [c_78, c_107])).
% 19.84/10.23 tff(c_30, plain, (![B_9_23]: (LE(f(B_9_23), s(s(0))) | E(s(s(0)), f(suc(suc(B_9_23)))) | ~LE(f(suc(suc(B_9_23))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_259])).
% 19.84/10.23 tff(c_19518, plain, (![B_9_635]: (LE(f(B_9_635), s(s(0))) | E(s(s(0)), f(suc(suc(B_9_635)))) | ~E(s(s(s(0))), f(suc(suc(B_9_635)))))), inference(resolution, [status(thm)], [c_19198, c_30])).
% 19.84/10.23 tff(c_19528, plain, (![B_9_70]: (LE(f(B_9_70), s(s(0))) | E(s(s(0)), f(suc(suc(B_9_70)))))), inference(resolution, [status(thm)], [c_111, c_19518])).
% 19.84/10.23 tff(c_19442, plain, (![B_9_632]: (LE(f(B_9_632), s(s(0))) | E(s(s(0)), f(suc(B_9_632))))), inference(resolution, [status(thm)], [c_104, c_19425])).
% 19.84/10.23 tff(c_68, plain, (![A_2_48]: (iLEQ(suc(A_2_48), suc(A_2_48)) | E(f(A_2_48), f(suc(A_2_48))) | ~E(s(s(0)), f(suc(A_2_48))) | ~E(s(s(0)), f(A_2_48)))), inference(cnfTransformation, [status(thm)], [f_525])).
% 19.84/10.23 tff(c_19583, plain, (![B_9_637]: (iLEQ(suc(B_9_637), suc(B_9_637)) | E(f(B_9_637), f(suc(B_9_637))) | ~E(s(s(0)), f(B_9_637)) | LE(f(B_9_637), s(s(0))))), inference(resolution, [status(thm)], [c_19442, c_68])).
% 19.84/10.23 tff(c_24, plain, (![A_2_20]: (iLEQ(suc(A_2_20), suc(A_2_20)) | ~E(s(s(0)), f(A_2_20)) | ~E(f(A_2_20), f(suc(A_2_20))) | ~E(s(s(0)), f(suc(A_2_20))) | ~E(s(s(0)), f(suc(suc(A_2_20)))))), inference(cnfTransformation, [status(thm)], [f_238])).
% 19.84/10.23 tff(c_19718, plain, (![B_9_643]: (~E(s(s(0)), f(suc(B_9_643))) | ~E(s(s(0)), f(suc(suc(B_9_643)))) | iLEQ(suc(B_9_643), suc(B_9_643)) | ~E(s(s(0)), f(B_9_643)) | LE(f(B_9_643), s(s(0))))), inference(resolution, [status(thm)], [c_19583, c_24])).
% 19.84/10.23 tff(c_19737, plain, (![B_9_644]: (~E(s(s(0)), f(suc(B_9_644))) | iLEQ(suc(B_9_644), suc(B_9_644)) | ~E(s(s(0)), f(B_9_644)) | LE(f(B_9_644), s(s(0))))), inference(resolution, [status(thm)], [c_19528, c_19718])).
% 19.84/10.23 tff(c_19750, plain, (![B_9_67]: (iLEQ(suc(B_9_67), suc(B_9_67)) | ~E(s(s(0)), f(B_9_67)) | LE(f(B_9_67), s(s(0))))), inference(resolution, [status(thm)], [c_19439, c_19737])).
% 19.84/10.23 tff(c_12, plain, (![B_10_10, A_2_11]: (E(f(B_10_10), f(suc(B_10_10))) | E(f(A_2_11), f(suc(A_2_11))) | ~E(s(s(0)), f(A_2_11)) | ~E(s(s(0)), f(suc(B_10_10))) | ~iLEQ(suc(A_2_11), suc(B_10_10)) | ~E(s(s(0)), f(suc(A_2_11))) | ~E(s(s(0)), f(B_10_10)))), inference(cnfTransformation, [status(thm)], [f_145])).
% 19.84/10.23 tff(c_21053, plain, (![B_9_690, A_2_691]: (E(f(B_9_690), f(suc(B_9_690))) | E(f(A_2_691), f(suc(A_2_691))) | ~E(s(s(0)), f(A_2_691)) | ~iLEQ(suc(A_2_691), suc(B_9_690)) | ~E(s(s(0)), f(suc(A_2_691))) | ~E(s(s(0)), f(B_9_690)) | LE(f(B_9_690), s(s(0))))), inference(resolution, [status(thm)], [c_19442, c_12])).
% 19.84/10.23 tff(c_21141, plain, (![B_9_692]: (E(f(B_9_692), f(suc(B_9_692))) | ~E(s(s(0)), f(suc(B_9_692))) | ~E(s(s(0)), f(B_9_692)) | LE(f(B_9_692), s(s(0))))), inference(resolution, [status(thm)], [c_19750, c_21053])).
% 19.84/10.23 tff(c_21154, plain, (![B_9_67]: (E(f(B_9_67), f(suc(B_9_67))) | ~E(s(s(0)), f(B_9_67)) | LE(f(B_9_67), s(s(0))))), inference(resolution, [status(thm)], [c_19439, c_21141])).
% 19.84/10.23 tff(c_19531, plain, (![B_9_636]: (LE(f(B_9_636), s(s(0))) | E(s(s(0)), f(suc(suc(B_9_636)))))), inference(resolution, [status(thm)], [c_111, c_19518])).
% 19.84/10.23 tff(c_2, plain, (![B_10_1, A_2_2]: (~E(s(s(0)), f(suc(suc(B_10_1)))) | ~E(f(A_2_2), f(suc(A_2_2))) | ~E(s(s(0)), f(A_2_2)) | ~E(s(s(0)), f(suc(suc(A_2_2)))) | ~E(s(s(0)), f(suc(B_10_1))) | ~iLEQ(suc(A_2_2), suc(B_10_1)) | ~E(f(B_10_1), f(suc(B_10_1))) | ~E(s(s(0)), f(suc(A_2_2))) | ~E(s(s(0)), f(B_10_1)))), inference(cnfTransformation, [status(thm)], [f_50])).
% 19.84/10.23 tff(c_26264, plain, (![A_2_852, B_9_853]: (~E(f(A_2_852), f(suc(A_2_852))) | ~E(s(s(0)), f(A_2_852)) | ~E(s(s(0)), f(suc(suc(A_2_852)))) | ~E(s(s(0)), f(suc(B_9_853))) | ~iLEQ(suc(A_2_852), suc(B_9_853)) | ~E(f(B_9_853), f(suc(B_9_853))) | ~E(s(s(0)), f(suc(A_2_852))) | ~E(s(s(0)), f(B_9_853)) | LE(f(B_9_853), s(s(0))))), inference(resolution, [status(thm)], [c_19531, c_2])).
% 19.84/10.23 tff(c_26663, plain, (![B_9_861, B_9_862]: (~E(s(s(0)), f(suc(suc(B_9_861)))) | ~E(s(s(0)), f(suc(B_9_862))) | ~iLEQ(suc(B_9_861), suc(B_9_862)) | ~E(f(B_9_862), f(suc(B_9_862))) | ~E(s(s(0)), f(suc(B_9_861))) | ~E(s(s(0)), f(B_9_862)) | LE(f(B_9_862), s(s(0))) | ~E(s(s(0)), f(B_9_861)) | LE(f(B_9_861), s(s(0))))), inference(resolution, [status(thm)], [c_21154, c_26264])).
% 19.84/10.23 tff(c_26682, plain, (![B_9_863, B_9_864]: (~E(s(s(0)), f(suc(B_9_863))) | ~iLEQ(suc(B_9_864), suc(B_9_863)) | ~E(f(B_9_863), f(suc(B_9_863))) | ~E(s(s(0)), f(suc(B_9_864))) | ~E(s(s(0)), f(B_9_863)) | LE(f(B_9_863), s(s(0))) | ~E(s(s(0)), f(B_9_864)) | LE(f(B_9_864), s(s(0))))), inference(resolution, [status(thm)], [c_19528, c_26663])).
% 19.84/10.23 tff(c_26699, plain, (![B_9_865, B_9_866]: (~iLEQ(suc(B_9_865), suc(B_9_866)) | ~E(f(B_9_866), f(suc(B_9_866))) | ~E(s(s(0)), f(suc(B_9_865))) | ~E(s(s(0)), f(B_9_866)) | ~E(s(s(0)), f(B_9_865)) | LE(f(B_9_865), s(s(0))) | LE(f(B_9_866), s(s(0))))), inference(resolution, [status(thm)], [c_19439, c_26682])).
% 19.84/10.23 tff(c_26802, plain, (![B_9_867]: (~E(f(B_9_867), f(suc(B_9_867))) | ~E(s(s(0)), f(suc(B_9_867))) | ~E(s(s(0)), f(B_9_867)) | LE(f(B_9_867), s(s(0))))), inference(resolution, [status(thm)], [c_19750, c_26699])).
% 19.84/10.23 tff(c_26929, plain, (![B_9_868]: (~E(s(s(0)), f(suc(B_9_868))) | ~E(s(s(0)), f(B_9_868)) | LE(f(B_9_868), s(s(0))))), inference(resolution, [status(thm)], [c_21154, c_26802])).
% 19.84/10.23 tff(c_26950, plain, (![B_9_869]: (~E(s(s(0)), f(B_9_869)) | LE(f(B_9_869), s(s(0))))), inference(resolution, [status(thm)], [c_19439, c_26929])).
% 19.84/10.23 tff(c_26963, plain, (![B_9_870]: (LE(f(B_9_870), s(0)) | E(s(0), f(B_9_870)) | ~E(s(s(0)), f(B_9_870)))), inference(resolution, [status(thm)], [c_26950, c_14])).
% 19.84/10.23 tff(c_26984, plain, (![B_4_871]: (LE(f(B_4_871), s(0)) | E(s(0), f(B_4_871)))), inference(resolution, [status(thm)], [c_19244, c_26963])).
% 19.84/10.23 tff(c_28, plain, (![B_16_22]: (LE(f(B_16_22), 0) | E(0, f(B_16_22)) | ~LE(f(B_16_22), s(0)))), inference(cnfTransformation, [status(thm)], [f_252])).
% 19.84/10.23 tff(c_26996, plain, (![B_4_871]: (LE(f(B_4_871), 0) | E(0, f(B_4_871)) | E(s(0), f(B_4_871)))), inference(resolution, [status(thm)], [c_26984, c_28])).
% 19.84/10.23 tff(c_50, plain, (![B_13_36]: (LE(f(B_13_36), s(0)) | E(s(0), f(suc(B_13_36))) | ~LE(f(suc(B_13_36)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_389])).
% 19.84/10.23 tff(c_19243, plain, (![B_13_36]: (LE(f(B_13_36), s(0)) | E(s(0), f(suc(B_13_36))) | E(s(s(0)), f(suc(B_13_36))))), inference(resolution, [status(thm)], [c_19232, c_50])).
% 19.84/10.23 tff(c_27105, plain, (![B_13_875]: (LE(f(B_13_875), s(0)) | E(s(0), f(suc(B_13_875))) | ~E(s(s(0)), f(suc(B_13_875))))), inference(resolution, [status(thm)], [c_26950, c_50])).
% 19.84/10.23 tff(c_27121, plain, (![B_13_36]: (LE(f(B_13_36), s(0)) | E(s(0), f(suc(B_13_36))))), inference(resolution, [status(thm)], [c_19243, c_27105])).
% 19.84/10.23 tff(c_54, plain, (![B_13_39]: (LE(f(B_13_39), s(0)) | E(s(0), f(suc(suc(B_13_39)))) | ~LE(f(suc(suc(B_13_39))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_419])).
% 19.84/10.23 tff(c_19242, plain, (![B_13_39]: (LE(f(B_13_39), s(0)) | E(s(0), f(suc(suc(B_13_39)))) | E(s(s(0)), f(suc(suc(B_13_39)))))), inference(resolution, [status(thm)], [c_19232, c_54])).
% 19.84/10.23 tff(c_27158, plain, (![B_13_877]: (LE(f(B_13_877), s(0)) | E(s(0), f(suc(suc(B_13_877)))) | ~E(s(s(0)), f(suc(suc(B_13_877)))))), inference(resolution, [status(thm)], [c_26950, c_54])).
% 19.84/10.23 tff(c_27170, plain, (![B_13_39]: (LE(f(B_13_39), s(0)) | E(s(0), f(suc(suc(B_13_39)))))), inference(resolution, [status(thm)], [c_19242, c_27158])).
% 19.84/10.23 tff(c_27122, plain, (![B_13_876]: (LE(f(B_13_876), s(0)) | E(s(0), f(suc(B_13_876))))), inference(resolution, [status(thm)], [c_19243, c_27105])).
% 19.84/10.23 tff(c_74, plain, (![A_3_52]: (iLEQ(suc(A_3_52), suc(A_3_52)) | E(f(A_3_52), f(suc(A_3_52))) | ~E(s(0), f(suc(A_3_52))) | ~E(s(0), f(A_3_52)))), inference(cnfTransformation, [status(thm)], [f_561])).
% 19.84/10.23 tff(c_27206, plain, (![B_13_879]: (iLEQ(suc(B_13_879), suc(B_13_879)) | E(f(B_13_879), f(suc(B_13_879))) | ~E(s(0), f(B_13_879)) | LE(f(B_13_879), s(0)))), inference(resolution, [status(thm)], [c_27122, c_74])).
% 19.84/10.23 tff(c_48, plain, (![A_3_35]: (iLEQ(suc(A_3_35), suc(A_3_35)) | ~E(s(0), f(A_3_35)) | ~E(f(A_3_35), f(suc(A_3_35))) | ~E(s(0), f(suc(A_3_35))) | ~E(s(0), f(suc(suc(A_3_35)))))), inference(cnfTransformation, [status(thm)], [f_382])).
% 19.84/10.23 tff(c_27294, plain, (![B_13_883]: (~E(s(0), f(suc(B_13_883))) | ~E(s(0), f(suc(suc(B_13_883)))) | iLEQ(suc(B_13_883), suc(B_13_883)) | ~E(s(0), f(B_13_883)) | LE(f(B_13_883), s(0)))), inference(resolution, [status(thm)], [c_27206, c_48])).
% 19.84/10.23 tff(c_27313, plain, (![B_13_884]: (~E(s(0), f(suc(B_13_884))) | iLEQ(suc(B_13_884), suc(B_13_884)) | ~E(s(0), f(B_13_884)) | LE(f(B_13_884), s(0)))), inference(resolution, [status(thm)], [c_27170, c_27294])).
% 19.84/10.23 tff(c_27330, plain, (![B_13_885]: (iLEQ(suc(B_13_885), suc(B_13_885)) | ~E(s(0), f(B_13_885)) | LE(f(B_13_885), s(0)))), inference(resolution, [status(thm)], [c_27121, c_27313])).
% 19.84/10.23 tff(c_70, plain, (![B_14_49, A_3_50]: (E(f(B_14_49), f(suc(B_14_49))) | E(f(A_3_50), f(suc(A_3_50))) | ~iLEQ(suc(A_3_50), suc(B_14_49)) | ~E(s(0), f(A_3_50)) | ~E(s(0), f(B_14_49)) | ~E(s(0), f(suc(A_3_50))) | ~E(s(0), f(suc(B_14_49))))), inference(cnfTransformation, [status(thm)], [f_544])).
% 19.84/10.23 tff(c_27357, plain, (![B_13_886]: (E(f(B_13_886), f(suc(B_13_886))) | ~E(s(0), f(suc(B_13_886))) | ~E(s(0), f(B_13_886)) | LE(f(B_13_886), s(0)))), inference(resolution, [status(thm)], [c_27330, c_70])).
% 19.84/10.23 tff(c_27370, plain, (![B_13_36]: (E(f(B_13_36), f(suc(B_13_36))) | ~E(s(0), f(B_13_36)) | LE(f(B_13_36), s(0)))), inference(resolution, [status(thm)], [c_27121, c_27357])).
% 19.84/10.23 tff(c_58, plain, (![A_3_41, B_14_40]: (~iLEQ(suc(A_3_41), suc(B_14_40)) | ~E(s(0), f(suc(suc(A_3_41)))) | ~E(s(0), f(A_3_41)) | ~E(f(A_3_41), f(suc(A_3_41))) | ~E(f(B_14_40), f(suc(B_14_40))) | ~E(s(0), f(B_14_40)) | ~E(s(0), f(suc(A_3_41))) | ~E(s(0), f(suc(suc(B_14_40)))) | ~E(s(0), f(suc(B_14_40))))), inference(cnfTransformation, [status(thm)], [f_448])).
% 19.84/10.23 tff(c_27418, plain, (![B_13_889]: (~E(f(B_13_889), f(suc(B_13_889))) | ~E(s(0), f(suc(suc(B_13_889)))) | ~E(s(0), f(suc(B_13_889))) | ~E(s(0), f(B_13_889)) | LE(f(B_13_889), s(0)))), inference(resolution, [status(thm)], [c_27330, c_58])).
% 19.84/10.23 tff(c_27452, plain, (![B_13_890]: (~E(s(0), f(suc(suc(B_13_890)))) | ~E(s(0), f(suc(B_13_890))) | ~E(s(0), f(B_13_890)) | LE(f(B_13_890), s(0)))), inference(resolution, [status(thm)], [c_27370, c_27418])).
% 19.84/10.23 tff(c_27473, plain, (![B_13_891]: (~E(s(0), f(suc(B_13_891))) | ~E(s(0), f(B_13_891)) | LE(f(B_13_891), s(0)))), inference(resolution, [status(thm)], [c_27170, c_27452])).
% 19.84/10.23 tff(c_27494, plain, (![B_13_892]: (~E(s(0), f(B_13_892)) | LE(f(B_13_892), s(0)))), inference(resolution, [status(thm)], [c_27121, c_27473])).
% 19.84/10.23 tff(c_27507, plain, (![B_13_893]: (LE(f(B_13_893), 0) | E(0, f(B_13_893)) | ~E(s(0), f(B_13_893)))), inference(resolution, [status(thm)], [c_27494, c_28])).
% 19.84/10.23 tff(c_27528, plain, (![B_4_894]: (LE(f(B_4_894), 0) | E(0, f(B_4_894)))), inference(resolution, [status(thm)], [c_26996, c_27507])).
% 19.84/10.23 tff(c_56, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_421])).
% 19.84/10.23 tff(c_27532, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_27528, c_56])).
% 19.84/10.23 tff(c_26, plain, (![B_16_21]: (LE(f(B_16_21), 0) | E(0, f(suc(B_16_21))) | ~LE(f(suc(B_16_21)), s(0)))), inference(cnfTransformation, [status(thm)], [f_245])).
% 19.84/10.23 tff(c_26995, plain, (![B_16_21]: (LE(f(B_16_21), 0) | E(0, f(suc(B_16_21))) | E(s(0), f(suc(B_16_21))))), inference(resolution, [status(thm)], [c_26984, c_26])).
% 19.84/10.23 tff(c_27533, plain, (![B_16_895]: (LE(f(B_16_895), 0) | E(0, f(suc(B_16_895))) | ~E(s(0), f(suc(B_16_895))))), inference(resolution, [status(thm)], [c_27494, c_26])).
% 19.84/10.23 tff(c_27549, plain, (![B_16_21]: (LE(f(B_16_21), 0) | E(0, f(suc(B_16_21))))), inference(resolution, [status(thm)], [c_26995, c_27533])).
% 19.84/10.23 tff(c_72, plain, (![B_16_51]: (LE(f(B_16_51), 0) | E(0, f(suc(suc(B_16_51)))) | ~LE(f(suc(suc(B_16_51))), s(0)))), inference(cnfTransformation, [status(thm)], [f_551])).
% 19.84/10.23 tff(c_26994, plain, (![B_16_51]: (LE(f(B_16_51), 0) | E(0, f(suc(suc(B_16_51)))) | E(s(0), f(suc(suc(B_16_51)))))), inference(resolution, [status(thm)], [c_26984, c_72])).
% 19.84/10.23 tff(c_27550, plain, (![B_16_896]: (LE(f(B_16_896), 0) | E(0, f(suc(suc(B_16_896)))) | ~E(s(0), f(suc(suc(B_16_896)))))), inference(resolution, [status(thm)], [c_27494, c_72])).
% 19.84/10.23 tff(c_27565, plain, (![B_16_51]: (LE(f(B_16_51), 0) | E(0, f(suc(suc(B_16_51)))))), inference(resolution, [status(thm)], [c_26994, c_27550])).
% 19.84/10.23 tff(c_27572, plain, (![B_16_898]: (LE(f(B_16_898), 0) | E(0, f(suc(suc(B_16_898)))))), inference(resolution, [status(thm)], [c_26994, c_27550])).
% 19.84/10.23 tff(c_46, plain, (![A_4_34]: (iLEQ(suc(A_4_34), suc(A_4_34)) | E(f(A_4_34), f(suc(A_4_34))) | ~E(0, f(suc(A_4_34))) | ~E(0, f(A_4_34)))), inference(cnfTransformation, [status(thm)], [f_368])).
% 19.84/10.23 tff(c_114, plain, (![A_4_73]: (iLEQ(suc(A_4_73), suc(A_4_73)) | ~E(0, f(A_4_73)) | ~E(f(A_4_73), f(suc(A_4_73))) | ~E(0, f(suc(A_4_73))) | ~E(0, f(suc(suc(A_4_73)))))), inference(cnfTransformation, [status(thm)], [f_575])).
% 19.84/10.23 tff(c_118, plain, (![A_4_34]: (~E(0, f(suc(suc(A_4_34)))) | iLEQ(suc(A_4_34), suc(A_4_34)) | ~E(0, f(suc(A_4_34))) | ~E(0, f(A_4_34)))), inference(resolution, [status(thm)], [c_46, c_114])).
% 19.84/10.23 tff(c_27576, plain, (![B_16_899]: (iLEQ(suc(B_16_899), suc(B_16_899)) | ~E(0, f(suc(B_16_899))) | ~E(0, f(B_16_899)) | LE(f(B_16_899), 0))), inference(resolution, [status(thm)], [c_27572, c_118])).
% 19.84/10.23 tff(c_34, plain, (![B_17_25, A_4_26]: (E(f(B_17_25), f(suc(B_17_25))) | E(f(A_4_26), f(suc(A_4_26))) | ~E(0, f(A_4_26)) | ~E(0, f(suc(A_4_26))) | ~E(0, f(B_17_25)) | ~iLEQ(suc(A_4_26), suc(B_17_25)) | ~E(0, f(suc(B_17_25))))), inference(cnfTransformation, [status(thm)], [f_285])).
% 19.84/10.23 tff(c_27602, plain, (![B_16_899]: (E(f(B_16_899), f(suc(B_16_899))) | ~E(0, f(suc(B_16_899))) | ~E(0, f(B_16_899)) | LE(f(B_16_899), 0))), inference(resolution, [status(thm)], [c_27576, c_34])).
% 19.84/10.23 tff(c_27575, plain, (![B_16_898]: (iLEQ(suc(B_16_898), suc(B_16_898)) | ~E(0, f(suc(B_16_898))) | ~E(0, f(B_16_898)) | LE(f(B_16_898), 0))), inference(resolution, [status(thm)], [c_27572, c_118])).
% 19.84/10.23 tff(c_27630, plain, (![B_16_901]: (E(f(B_16_901), f(suc(B_16_901))) | ~E(0, f(suc(B_16_901))) | ~E(0, f(B_16_901)) | LE(f(B_16_901), 0))), inference(resolution, [status(thm)], [c_27576, c_34])).
% 19.84/10.23 tff(c_40, plain, (![A_4_29, B_17_30]: (~E(0, f(A_4_29)) | ~E(f(B_17_30), f(suc(B_17_30))) | ~E(0, f(suc(A_4_29))) | ~E(0, f(B_17_30)) | ~E(0, f(suc(suc(A_4_29)))) | ~E(0, f(suc(suc(B_17_30)))) | ~iLEQ(suc(A_4_29), suc(B_17_30)) | ~E(0, f(suc(B_17_30))) | ~E(f(A_4_29), f(suc(A_4_29))))), inference(cnfTransformation, [status(thm)], [f_321])).
% 19.84/10.23 tff(c_27787, plain, (![A_4_918, B_16_919]: (~E(0, f(A_4_918)) | ~E(0, f(suc(A_4_918))) | ~E(0, f(suc(suc(A_4_918)))) | ~E(0, f(suc(suc(B_16_919)))) | ~iLEQ(suc(A_4_918), suc(B_16_919)) | ~E(f(A_4_918), f(suc(A_4_918))) | ~E(0, f(suc(B_16_919))) | ~E(0, f(B_16_919)) | LE(f(B_16_919), 0))), inference(resolution, [status(thm)], [c_27630, c_40])).
% 19.84/10.23 tff(c_27795, plain, (![A_4_920, B_16_921]: (~E(0, f(A_4_920)) | ~E(0, f(suc(A_4_920))) | ~E(0, f(suc(suc(A_4_920)))) | ~iLEQ(suc(A_4_920), suc(B_16_921)) | ~E(f(A_4_920), f(suc(A_4_920))) | ~E(0, f(suc(B_16_921))) | ~E(0, f(B_16_921)) | LE(f(B_16_921), 0))), inference(resolution, [status(thm)], [c_27565, c_27787])).
% 19.84/10.23 tff(c_27802, plain, (![B_16_922]: (~E(0, f(suc(suc(B_16_922)))) | ~E(f(B_16_922), f(suc(B_16_922))) | ~E(0, f(suc(B_16_922))) | ~E(0, f(B_16_922)) | LE(f(B_16_922), 0))), inference(resolution, [status(thm)], [c_27575, c_27795])).
% 19.84/10.23 tff(c_27827, plain, (![B_16_923]: (~E(0, f(suc(suc(B_16_923)))) | ~E(0, f(suc(B_16_923))) | ~E(0, f(B_16_923)) | LE(f(B_16_923), 0))), inference(resolution, [status(thm)], [c_27602, c_27802])).
% 19.84/10.23 tff(c_27836, plain, (![B_16_924]: (~E(0, f(suc(B_16_924))) | ~E(0, f(B_16_924)) | LE(f(B_16_924), 0))), inference(resolution, [status(thm)], [c_27565, c_27827])).
% 19.84/10.23 tff(c_27845, plain, (![B_16_925]: (~E(0, f(B_16_925)) | LE(f(B_16_925), 0))), inference(resolution, [status(thm)], [c_27549, c_27836])).
% 19.84/10.23 tff(c_27848, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_27845, c_56])).
% 19.84/10.23 tff(c_27852, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_27532, c_27848])).
% 19.84/10.23 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.84/10.23
% 19.84/10.23 Inference rules
% 19.84/10.23 ----------------------
% 19.84/10.23 #Ref : 0
% 19.84/10.23 #Sup : 8363
% 19.84/10.23 #Fact : 0
% 19.84/10.23 #Define : 0
% 19.84/10.23 #Split : 0
% 19.84/10.23 #Chain : 0
% 19.84/10.23 #Close : 0
% 19.84/10.23
% 19.84/10.23 Ordering : KBO
% 19.84/10.23
% 19.84/10.23 Simplification rules
% 19.84/10.23 ----------------------
% 19.84/10.23 #Subsume : 6027
% 19.84/10.23 #Demod : 4
% 19.84/10.23 #Tautology : 799
% 19.84/10.23 #SimpNegUnit : 0
% 19.84/10.23 #BackRed : 0
% 19.84/10.23
% 19.84/10.23 #Partial instantiations: 0
% 19.84/10.23 #Strategies tried : 1
% 19.84/10.23
% 19.84/10.23 Timing (in seconds)
% 19.84/10.23 ----------------------
% 19.84/10.23 Preprocessing : 0.66
% 19.84/10.23 Parsing : 0.36
% 19.84/10.23 CNF conversion : 0.04
% 19.84/10.23 Main loop : 8.41
% 19.84/10.23 Inferencing : 1.67
% 19.84/10.23 Reduction : 1.25
% 19.84/10.23 Demodulation : 0.74
% 19.84/10.23 BG Simplification : 0.10
% 19.84/10.23 Subsumption : 5.03
% 19.84/10.23 Abstraction : 0.19
% 19.84/10.23 MUC search : 0.00
% 19.84/10.23 Cooper : 0.00
% 19.84/10.23 Total : 9.15
% 19.84/10.23 Index Insertion : 0.00
% 19.84/10.23 Index Deletion : 0.00
% 19.84/10.23 Index Matching : 0.00
% 19.84/10.23 BG Taut test : 0.00
%------------------------------------------------------------------------------