TSTP Solution File: SYO656-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO656-1 : 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 : n021.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 11:18:18 EDT 2023
% Result : Unsatisfiable 23.50s 12.64s
% Output : CNFRefutation 23.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO656-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 15:52:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 23.50/12.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.50/12.65
% 23.50/12.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.53/12.67 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 23.53/12.67
% 23.53/12.67 %Foreground sorts:
% 23.53/12.67
% 23.53/12.67
% 23.53/12.67 %Background operators:
% 23.53/12.67
% 23.53/12.67
% 23.53/12.67 %Foreground operators:
% 23.53/12.67 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 23.53/12.67 tff(s, type, s: $i > $i).
% 23.53/12.67 tff(f, type, f: $i > $i).
% 23.53/12.67 tff(0, type, 0: $i).
% 23.53/12.67 tff(LE, type, LE: ($i * $i) > $o).
% 23.53/12.67 tff(suc, type, suc: $i > $i).
% 23.53/12.67 tff(z, type, z: $i).
% 23.53/12.67 tff(E, type, E: ($i * $i) > $o).
% 23.53/12.67
% 23.53/12.69 tff(f_4475, axiom, (![A]: LE(f(A), s(0))), file('unknown', unknown)).
% 23.53/12.69 tff(f_4402, axiom, (![B_23]: ((~LE(f(B_23), s(0)) | E(0, f(B_23))) | LE(f(B_23), 0))), file('unknown', unknown)).
% 23.53/12.69 tff(f_848, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 23.53/12.69 tff(f_3199, axiom, (![B_23]: ((~LE(f(suc(B_23)), s(0)) | E(0, f(suc(B_23)))) | LE(f(B_23), 0))), file('unknown', unknown)).
% 23.53/12.69 tff(f_930, axiom, (![B_23]: ((~LE(f(suc(suc(B_23))), s(0)) | E(0, f(suc(suc(B_23))))) | LE(f(B_23), 0))), file('unknown', unknown)).
% 23.53/12.69 tff(f_684, axiom, (![A_1]: (((~E(0, f(A_1)) | ~E(0, f(suc(A_1)))) | E(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 23.53/12.69 tff(f_4797, axiom, (![A_1]: ((((~E(0, f(suc(suc(A_1)))) | ~E(0, f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(0, f(A_1))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 23.53/12.69 tff(f_449, axiom, (![B_24, A_1, B_28, B_26, B_25, B_27]: ((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26)) | ~E(0, f(suc(B_25)))) | ~E(0, f(suc(B_27)))) | ~iLEQ(suc(B_24), suc(B_25))) | ~E(0, f(suc(A_1)))) | ~E(0, f(A_1))) | ~E(0, f(suc(B_26)))) | ~E(0, f(B_28))) | ~iLEQ(suc(A_1), suc(B_24))) | ~iLEQ(suc(B_26), suc(B_27))) | ~E(0, f(B_26))) | ~E(0, f(suc(B_24)))) | ~E(0, f(B_24))) | ~E(0, f(suc(B_28)))) | ~E(0, f(B_27))) | ~E(0, f(B_25))) | ~iLEQ(suc(B_27), suc(B_28))) | E(f(B_24), f(suc(B_24)))) | E(f(B_26), f(suc(B_26)))) | E(f(B_27), f(suc(B_27)))) | E(f(B_25), f(suc(B_25)))) | E(f(A_1), f(suc(A_1)))) | E(f(B_28), f(suc(B_28))))), file('unknown', unknown)).
% 23.53/12.69 tff(f_2529, axiom, (![B_24, A_1, B_28, B_26, B_25, B_27]: ((((((((((((((((((((((((((((~E(0, f(suc(suc(B_28)))) | ~iLEQ(suc(B_25), suc(B_26))) | ~E(0, f(suc(B_25)))) | ~E(0, f(suc(B_27)))) | ~iLEQ(suc(B_24), suc(B_25))) | ~E(f(B_24), f(suc(B_24)))) | ~E(0, f(suc(suc(B_24))))) | ~E(0, f(suc(A_1)))) | ~E(f(B_26), f(suc(B_26)))) | ~E(0, f(suc(suc(A_1))))) | ~E(0, f(suc(suc(B_25))))) | ~E(0, f(A_1))) | ~E(0, f(suc(B_26)))) | ~E(0, f(B_28))) | ~iLEQ(suc(A_1), suc(B_24))) | ~E(f(B_27), f(suc(B_27)))) | ~iLEQ(suc(B_26), suc(B_27))) | ~E(f(B_25), f(suc(B_25)))) | ~E(0, f(suc(suc(B_27))))) | ~E(f(A_1), f(suc(A_1)))) | ~E(0, f(B_26))) | ~E(f(B_28), f(suc(B_28)))) | ~E(0, f(suc(B_24)))) | ~E(0, f(B_24))) | ~E(0, f(suc(B_28)))) | ~E(0, f(B_27))) | ~E(0, f(suc(suc(B_26))))) | ~E(0, f(B_25))) | ~iLEQ(suc(B_27), suc(B_28)))), file('unknown', unknown)).
% 23.53/12.69 tff(c_130, plain, (![A_359]: (LE(f(A_359), s(0)))), inference(cnfTransformation, [status(thm)], [f_4475])).
% 23.53/12.69 tff(c_126, plain, (![B_23_352]: (LE(f(B_23_352), 0) | E(0, f(B_23_352)) | ~LE(f(B_23_352), s(0)))), inference(cnfTransformation, [status(thm)], [f_4402])).
% 23.53/12.69 tff(c_150, plain, (![B_23_392]: (LE(f(B_23_392), 0) | E(0, f(B_23_392)))), inference(demodulation, [status(thm), theory('equality')], [c_130, c_126])).
% 23.53/12.69 tff(c_26, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_848])).
% 23.53/12.69 tff(c_154, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_150, c_26])).
% 23.53/12.69 tff(c_92, plain, (![B_23_255]: (LE(f(B_23_255), 0) | E(0, f(suc(B_23_255))) | ~LE(f(suc(B_23_255)), s(0)))), inference(cnfTransformation, [status(thm)], [f_3199])).
% 23.53/12.69 tff(c_146, plain, (![B_23_255]: (LE(f(B_23_255), 0) | E(0, f(suc(B_23_255))))), inference(demodulation, [status(thm), theory('equality')], [c_130, c_92])).
% 23.53/12.69 tff(c_30, plain, (![B_23_74]: (LE(f(B_23_74), 0) | E(0, f(suc(suc(B_23_74)))) | ~LE(f(suc(suc(B_23_74))), s(0)))), inference(cnfTransformation, [status(thm)], [f_930])).
% 23.53/12.69 tff(c_148, plain, (![B_23_74]: (LE(f(B_23_74), 0) | E(0, f(suc(suc(B_23_74)))))), inference(demodulation, [status(thm), theory('equality')], [c_130, c_30])).
% 23.53/12.69 tff(c_20, plain, (![A_1_55]: (iLEQ(suc(A_1_55), suc(A_1_55)) | E(f(A_1_55), f(suc(A_1_55))) | ~E(0, f(suc(A_1_55))) | ~E(0, f(A_1_55)))), inference(cnfTransformation, [status(thm)], [f_684])).
% 23.53/12.69 tff(c_158, plain, (![A_1_396]: (iLEQ(suc(A_1_396), suc(A_1_396)) | ~E(0, f(A_1_396)) | ~E(f(A_1_396), f(suc(A_1_396))) | ~E(0, f(suc(A_1_396))) | ~E(0, f(suc(suc(A_1_396)))))), inference(cnfTransformation, [status(thm)], [f_4797])).
% 23.53/12.69 tff(c_163, plain, (![A_1_397]: (~E(0, f(suc(suc(A_1_397)))) | iLEQ(suc(A_1_397), suc(A_1_397)) | ~E(0, f(suc(A_1_397))) | ~E(0, f(A_1_397)))), inference(resolution, [status(thm)], [c_20, c_158])).
% 23.53/12.69 tff(c_169, plain, (![B_23_74]: (iLEQ(suc(B_23_74), suc(B_23_74)) | ~E(0, f(suc(B_23_74))) | ~E(0, f(B_23_74)) | LE(f(B_23_74), 0))), inference(resolution, [status(thm)], [c_148, c_163])).
% 23.53/12.69 tff(c_172, plain, (![B_23_404]: (iLEQ(suc(B_23_404), suc(B_23_404)) | ~E(0, f(suc(B_23_404))) | ~E(0, f(B_23_404)) | LE(f(B_23_404), 0))), inference(resolution, [status(thm)], [c_148, c_163])).
% 23.53/12.69 tff(c_12, plain, (![B_27_36, B_28_33, B_25_35, A_1_32, B_26_34, B_24_31]: (E(f(B_28_33), f(suc(B_28_33))) | E(f(A_1_32), f(suc(A_1_32))) | E(f(B_25_35), f(suc(B_25_35))) | E(f(B_27_36), f(suc(B_27_36))) | E(f(B_26_34), f(suc(B_26_34))) | E(f(B_24_31), f(suc(B_24_31))) | ~iLEQ(suc(B_27_36), suc(B_28_33)) | ~E(0, f(B_25_35)) | ~E(0, f(B_27_36)) | ~E(0, f(suc(B_28_33))) | ~E(0, f(B_24_31)) | ~E(0, f(suc(B_24_31))) | ~E(0, f(B_26_34)) | ~iLEQ(suc(B_26_34), suc(B_27_36)) | ~iLEQ(suc(A_1_32), suc(B_24_31)) | ~E(0, f(B_28_33)) | ~E(0, f(suc(B_26_34))) | ~E(0, f(A_1_32)) | ~E(0, f(suc(A_1_32))) | ~iLEQ(suc(B_24_31), suc(B_25_35)) | ~E(0, f(suc(B_27_36))) | ~E(0, f(suc(B_25_35))) | ~iLEQ(suc(B_25_35), suc(B_26_34)))), inference(cnfTransformation, [status(thm)], [f_449])).
% 23.53/12.69 tff(c_180, plain, (![A_1_409, B_26_408, B_25_407, B_24_406, B_23_410]: (E(f(A_1_409), f(suc(A_1_409))) | E(f(B_25_407), f(suc(B_25_407))) | E(f(B_23_410), f(suc(B_23_410))) | E(f(B_26_408), f(suc(B_26_408))) | E(f(B_24_406), f(suc(B_24_406))) | ~E(0, f(B_25_407)) | ~E(0, f(B_24_406)) | ~E(0, f(suc(B_24_406))) | ~E(0, f(B_26_408)) | ~iLEQ(suc(B_26_408), suc(B_23_410)) | ~iLEQ(suc(A_1_409), suc(B_24_406)) | ~E(0, f(suc(B_26_408))) | ~E(0, f(A_1_409)) | ~E(0, f(suc(A_1_409))) | ~iLEQ(suc(B_24_406), suc(B_25_407)) | ~E(0, f(suc(B_25_407))) | ~iLEQ(suc(B_25_407), suc(B_26_408)) | ~E(0, f(suc(B_23_410))) | ~E(0, f(B_23_410)) | LE(f(B_23_410), 0))), inference(resolution, [status(thm)], [c_172, c_12])).
% 23.53/12.69 tff(c_187, plain, (![A_1_411, B_25_412, B_23_413, B_24_414]: (E(f(A_1_411), f(suc(A_1_411))) | E(f(B_25_412), f(suc(B_25_412))) | E(f(B_23_413), f(suc(B_23_413))) | E(f(B_24_414), f(suc(B_24_414))) | ~E(0, f(B_25_412)) | ~E(0, f(B_24_414)) | ~E(0, f(suc(B_24_414))) | ~iLEQ(suc(A_1_411), suc(B_24_414)) | ~E(0, f(A_1_411)) | ~E(0, f(suc(A_1_411))) | ~iLEQ(suc(B_24_414), suc(B_25_412)) | ~E(0, f(suc(B_25_412))) | ~iLEQ(suc(B_25_412), suc(B_23_413)) | ~E(0, f(suc(B_23_413))) | ~E(0, f(B_23_413)) | LE(f(B_23_413), 0))), inference(resolution, [status(thm)], [c_169, c_180])).
% 23.53/12.69 tff(c_194, plain, (![B_25_415, B_23_416, B_23_417]: (E(f(B_25_415), f(suc(B_25_415))) | E(f(B_23_416), f(suc(B_23_416))) | E(f(B_23_417), f(suc(B_23_417))) | ~E(0, f(B_25_415)) | ~iLEQ(suc(B_23_417), suc(B_25_415)) | ~E(0, f(suc(B_25_415))) | ~iLEQ(suc(B_25_415), suc(B_23_416)) | ~E(0, f(suc(B_23_416))) | ~E(0, f(B_23_416)) | LE(f(B_23_416), 0) | ~E(0, f(suc(B_23_417))) | ~E(0, f(B_23_417)) | LE(f(B_23_417), 0))), inference(resolution, [status(thm)], [c_169, c_187])).
% 23.53/12.69 tff(c_208, plain, (![B_23_424, B_23_425]: (E(f(B_23_424), f(suc(B_23_424))) | E(f(B_23_425), f(suc(B_23_425))) | ~iLEQ(suc(B_23_425), suc(B_23_424)) | ~E(0, f(suc(B_23_424))) | ~E(0, f(B_23_424)) | LE(f(B_23_424), 0) | ~E(0, f(suc(B_23_425))) | ~E(0, f(B_23_425)) | LE(f(B_23_425), 0))), inference(resolution, [status(thm)], [c_169, c_194])).
% 23.53/12.69 tff(c_214, plain, (![B_23_74]: (E(f(B_23_74), f(suc(B_23_74))) | ~E(0, f(suc(B_23_74))) | ~E(0, f(B_23_74)) | LE(f(B_23_74), 0))), inference(resolution, [status(thm)], [c_169, c_208])).
% 23.53/12.69 tff(c_1166, plain, (![B_24_1110, B_27_1109, B_28_1112, B_25_1108, A_1_1111, B_26_1107]: (~iLEQ(suc(B_27_1109), suc(B_28_1112)) | ~E(0, f(B_25_1108)) | ~E(0, f(suc(suc(B_26_1107)))) | ~E(0, f(B_27_1109)) | ~E(0, f(suc(B_28_1112))) | ~E(0, f(B_24_1110)) | ~E(0, f(suc(B_24_1110))) | ~E(f(B_28_1112), f(suc(B_28_1112))) | ~E(0, f(B_26_1107)) | ~E(f(A_1_1111), f(suc(A_1_1111))) | ~E(0, f(suc(suc(B_27_1109)))) | ~E(f(B_25_1108), f(suc(B_25_1108))) | ~iLEQ(suc(B_26_1107), suc(B_27_1109)) | ~E(f(B_27_1109), f(suc(B_27_1109))) | ~iLEQ(suc(A_1_1111), suc(B_24_1110)) | ~E(0, f(B_28_1112)) | ~E(0, f(suc(B_26_1107))) | ~E(0, f(A_1_1111)) | ~E(0, f(suc(suc(B_25_1108)))) | ~E(0, f(suc(suc(A_1_1111)))) | ~E(f(B_26_1107), f(suc(B_26_1107))) | ~E(0, f(suc(A_1_1111))) | ~E(0, f(suc(suc(B_24_1110)))) | ~E(f(B_24_1110), f(suc(B_24_1110))) | ~iLEQ(suc(B_24_1110), suc(B_25_1108)) | ~E(0, f(suc(B_27_1109))) | ~E(0, f(suc(B_25_1108))) | ~iLEQ(suc(B_25_1108), suc(B_26_1107)) | ~E(0, f(suc(suc(B_28_1112)))))), inference(cnfTransformation, [status(thm)], [f_2529])).
% 23.53/12.69 tff(c_1440, plain, (![B_24_1250, A_1_1248, B_23_1249, B_25_1247, B_26_1246]: (~E(0, f(B_25_1247)) | ~E(0, f(suc(suc(B_26_1246)))) | ~E(0, f(B_24_1250)) | ~E(0, f(suc(B_24_1250))) | ~E(0, f(B_26_1246)) | ~E(f(A_1_1248), f(suc(A_1_1248))) | ~E(f(B_25_1247), f(suc(B_25_1247))) | ~iLEQ(suc(B_26_1246), suc(B_23_1249)) | ~E(f(B_23_1249), f(suc(B_23_1249))) | ~iLEQ(suc(A_1_1248), suc(B_24_1250)) | ~E(0, f(suc(B_26_1246))) | ~E(0, f(A_1_1248)) | ~E(0, f(suc(suc(B_25_1247)))) | ~E(0, f(suc(suc(A_1_1248)))) | ~E(f(B_26_1246), f(suc(B_26_1246))) | ~E(0, f(suc(A_1_1248))) | ~E(0, f(suc(suc(B_24_1250)))) | ~E(f(B_24_1250), f(suc(B_24_1250))) | ~iLEQ(suc(B_24_1250), suc(B_25_1247)) | ~E(0, f(suc(B_25_1247))) | ~iLEQ(suc(B_25_1247), suc(B_26_1246)) | ~E(0, f(suc(suc(B_23_1249)))) | ~E(0, f(suc(B_23_1249))) | ~E(0, f(B_23_1249)) | LE(f(B_23_1249), 0))), inference(resolution, [status(thm)], [c_169, c_1166])).
% 23.53/12.69 tff(c_1595, plain, (![B_24_1330, B_25_1333, B_23_1332, B_26_1329, B_23_1331]: (~E(0, f(B_25_1333)) | ~E(0, f(suc(suc(B_26_1329)))) | ~E(0, f(B_24_1330)) | ~E(0, f(suc(B_24_1330))) | ~E(0, f(B_26_1329)) | ~E(f(B_25_1333), f(suc(B_25_1333))) | ~iLEQ(suc(B_26_1329), suc(B_23_1332)) | ~E(f(B_23_1332), f(suc(B_23_1332))) | ~iLEQ(suc(B_23_1331), suc(B_24_1330)) | ~E(0, f(suc(B_26_1329))) | ~E(0, f(suc(suc(B_25_1333)))) | ~E(0, f(suc(suc(B_23_1331)))) | ~E(f(B_26_1329), f(suc(B_26_1329))) | ~E(0, f(suc(suc(B_24_1330)))) | ~E(f(B_24_1330), f(suc(B_24_1330))) | ~iLEQ(suc(B_24_1330), suc(B_25_1333)) | ~E(0, f(suc(B_25_1333))) | ~iLEQ(suc(B_25_1333), suc(B_26_1329)) | ~E(0, f(suc(suc(B_23_1332)))) | ~E(0, f(suc(B_23_1332))) | ~E(0, f(B_23_1332)) | LE(f(B_23_1332), 0) | ~E(0, f(suc(B_23_1331))) | ~E(0, f(B_23_1331)) | LE(f(B_23_1331), 0))), inference(resolution, [status(thm)], [c_214, c_1440])).
% 23.53/12.69 tff(c_1605, plain, (![B_23_1336, B_26_1335, B_23_1337, B_23_1334, B_24_1338]: (~E(0, f(suc(suc(B_26_1335)))) | ~E(0, f(B_24_1338)) | ~E(0, f(suc(B_24_1338))) | ~E(0, f(B_26_1335)) | ~iLEQ(suc(B_26_1335), suc(B_23_1337)) | ~E(f(B_23_1337), f(suc(B_23_1337))) | ~iLEQ(suc(B_23_1334), suc(B_24_1338)) | ~E(0, f(suc(B_26_1335))) | ~E(0, f(suc(suc(B_23_1336)))) | ~E(0, f(suc(suc(B_23_1334)))) | ~E(f(B_26_1335), f(suc(B_26_1335))) | ~E(0, f(suc(suc(B_24_1338)))) | ~E(f(B_24_1338), f(suc(B_24_1338))) | ~iLEQ(suc(B_24_1338), suc(B_23_1336)) | ~iLEQ(suc(B_23_1336), suc(B_26_1335)) | ~E(0, f(suc(suc(B_23_1337)))) | ~E(0, f(suc(B_23_1337))) | ~E(0, f(B_23_1337)) | LE(f(B_23_1337), 0) | ~E(0, f(suc(B_23_1334))) | ~E(0, f(B_23_1334)) | LE(f(B_23_1334), 0) | ~E(0, f(suc(B_23_1336))) | ~E(0, f(B_23_1336)) | LE(f(B_23_1336), 0))), inference(resolution, [status(thm)], [c_214, c_1595])).
% 23.53/12.69 tff(c_1612, plain, (![B_24_1339, B_23_1340, B_23_1341, B_23_1342]: (~E(0, f(B_24_1339)) | ~E(0, f(suc(B_24_1339))) | ~iLEQ(suc(B_23_1340), suc(B_24_1339)) | ~E(0, f(suc(suc(B_23_1341)))) | ~E(0, f(suc(suc(B_23_1340)))) | ~E(f(B_23_1342), f(suc(B_23_1342))) | ~E(0, f(suc(suc(B_24_1339)))) | ~E(f(B_24_1339), f(suc(B_24_1339))) | ~iLEQ(suc(B_24_1339), suc(B_23_1341)) | ~iLEQ(suc(B_23_1341), suc(B_23_1342)) | ~E(0, f(suc(suc(B_23_1342)))) | ~E(0, f(suc(B_23_1340))) | ~E(0, f(B_23_1340)) | LE(f(B_23_1340), 0) | ~E(0, f(suc(B_23_1341))) | ~E(0, f(B_23_1341)) | LE(f(B_23_1341), 0) | ~E(0, f(suc(B_23_1342))) | ~E(0, f(B_23_1342)) | LE(f(B_23_1342), 0))), inference(resolution, [status(thm)], [c_169, c_1605])).
% 23.53/12.69 tff(c_1619, plain, (![B_23_1343, B_23_1344, B_23_1345]: (~E(0, f(suc(suc(B_23_1343)))) | ~E(f(B_23_1344), f(suc(B_23_1344))) | ~E(0, f(suc(suc(B_23_1345)))) | ~E(f(B_23_1345), f(suc(B_23_1345))) | ~iLEQ(suc(B_23_1345), suc(B_23_1343)) | ~iLEQ(suc(B_23_1343), suc(B_23_1344)) | ~E(0, f(suc(suc(B_23_1344)))) | ~E(0, f(suc(B_23_1343))) | ~E(0, f(B_23_1343)) | LE(f(B_23_1343), 0) | ~E(0, f(suc(B_23_1344))) | ~E(0, f(B_23_1344)) | LE(f(B_23_1344), 0) | ~E(0, f(suc(B_23_1345))) | ~E(0, f(B_23_1345)) | LE(f(B_23_1345), 0))), inference(resolution, [status(thm)], [c_169, c_1612])).
% 23.53/12.69 tff(c_1627, plain, (![B_23_1346, B_23_1347, B_23_1348]: (~E(f(B_23_1346), f(suc(B_23_1346))) | ~E(0, f(suc(suc(B_23_1347)))) | ~E(f(B_23_1347), f(suc(B_23_1347))) | ~iLEQ(suc(B_23_1347), suc(B_23_1348)) | ~iLEQ(suc(B_23_1348), suc(B_23_1346)) | ~E(0, f(suc(suc(B_23_1346)))) | ~E(0, f(suc(B_23_1348))) | ~E(0, f(B_23_1348)) | ~E(0, f(suc(B_23_1346))) | ~E(0, f(B_23_1346)) | LE(f(B_23_1346), 0) | ~E(0, f(suc(B_23_1347))) | ~E(0, f(B_23_1347)) | LE(f(B_23_1347), 0) | LE(f(B_23_1348), 0))), inference(resolution, [status(thm)], [c_148, c_1619])).
% 23.53/12.69 tff(c_1637, plain, (![B_23_1349, B_23_1350, B_23_1351]: (~E(0, f(suc(suc(B_23_1349)))) | ~E(f(B_23_1349), f(suc(B_23_1349))) | ~iLEQ(suc(B_23_1349), suc(B_23_1350)) | ~iLEQ(suc(B_23_1350), suc(B_23_1351)) | ~E(0, f(suc(suc(B_23_1351)))) | ~E(0, f(suc(B_23_1350))) | ~E(0, f(B_23_1350)) | ~E(0, f(suc(B_23_1349))) | ~E(0, f(B_23_1349)) | LE(f(B_23_1349), 0) | LE(f(B_23_1350), 0) | ~E(0, f(suc(B_23_1351))) | ~E(0, f(B_23_1351)) | LE(f(B_23_1351), 0))), inference(resolution, [status(thm)], [c_214, c_1627])).
% 23.53/12.69 tff(c_1647, plain, (![B_23_1352, B_23_1353, B_23_1354]: (~E(0, f(suc(suc(B_23_1352)))) | ~iLEQ(suc(B_23_1352), suc(B_23_1353)) | ~iLEQ(suc(B_23_1353), suc(B_23_1354)) | ~E(0, f(suc(suc(B_23_1354)))) | ~E(0, f(suc(B_23_1353))) | ~E(0, f(B_23_1353)) | LE(f(B_23_1353), 0) | ~E(0, f(suc(B_23_1354))) | ~E(0, f(B_23_1354)) | LE(f(B_23_1354), 0) | ~E(0, f(suc(B_23_1352))) | ~E(0, f(B_23_1352)) | LE(f(B_23_1352), 0))), inference(resolution, [status(thm)], [c_214, c_1637])).
% 23.53/12.69 tff(c_1655, plain, (![B_23_1355, B_23_1356, B_23_1357]: (~iLEQ(suc(B_23_1355), suc(B_23_1356)) | ~iLEQ(suc(B_23_1356), suc(B_23_1357)) | ~E(0, f(suc(suc(B_23_1357)))) | ~E(0, f(suc(B_23_1356))) | ~E(0, f(B_23_1356)) | LE(f(B_23_1356), 0) | ~E(0, f(suc(B_23_1357))) | ~E(0, f(B_23_1357)) | LE(f(B_23_1357), 0) | ~E(0, f(suc(B_23_1355))) | ~E(0, f(B_23_1355)) | LE(f(B_23_1355), 0))), inference(resolution, [status(thm)], [c_148, c_1647])).
% 23.53/12.69 tff(c_1662, plain, (![B_23_1358, B_23_1359]: (~iLEQ(suc(B_23_1358), suc(B_23_1359)) | ~E(0, f(suc(suc(B_23_1359)))) | ~E(0, f(suc(B_23_1359))) | ~E(0, f(B_23_1359)) | LE(f(B_23_1359), 0) | ~E(0, f(suc(B_23_1358))) | ~E(0, f(B_23_1358)) | LE(f(B_23_1358), 0))), inference(resolution, [status(thm)], [c_169, c_1655])).
% 23.53/12.69 tff(c_1669, plain, (![B_23_1360]: (~E(0, f(suc(suc(B_23_1360)))) | ~E(0, f(suc(B_23_1360))) | ~E(0, f(B_23_1360)) | LE(f(B_23_1360), 0))), inference(resolution, [status(thm)], [c_169, c_1662])).
% 23.53/12.69 tff(c_1678, plain, (![B_23_1361]: (~E(0, f(suc(B_23_1361))) | ~E(0, f(B_23_1361)) | LE(f(B_23_1361), 0))), inference(resolution, [status(thm)], [c_148, c_1669])).
% 23.53/12.69 tff(c_1687, plain, (![B_23_1362]: (~E(0, f(B_23_1362)) | LE(f(B_23_1362), 0))), inference(resolution, [status(thm)], [c_146, c_1678])).
% 23.53/12.69 tff(c_1690, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_1687, c_26])).
% 23.53/12.69 tff(c_1694, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_154, c_1690])).
% 23.53/12.69 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.53/12.69
% 23.53/12.69 Inference rules
% 23.53/12.69 ----------------------
% 23.53/12.69 #Ref : 0
% 23.53/12.69 #Sup : 440
% 23.53/12.69 #Fact : 0
% 23.53/12.69 #Define : 0
% 23.53/12.69 #Split : 0
% 23.53/12.69 #Chain : 0
% 23.53/12.69 #Close : 0
% 23.53/12.69
% 23.53/12.69 Ordering : KBO
% 23.53/12.69
% 23.53/12.69 Simplification rules
% 23.53/12.69 ----------------------
% 23.53/12.69 #Subsume : 423
% 23.53/12.69 #Demod : 4
% 23.53/12.69 #Tautology : 1
% 23.53/12.69 #SimpNegUnit : 0
% 23.53/12.69 #BackRed : 0
% 23.53/12.69
% 23.53/12.69 #Partial instantiations: 0
% 23.53/12.69 #Strategies tried : 1
% 23.53/12.69
% 23.53/12.69 Timing (in seconds)
% 23.53/12.69 ----------------------
% 23.53/12.69 Preprocessing : 1.15
% 23.53/12.69 Parsing : 0.67
% 23.53/12.69 CNF conversion : 0.07
% 23.53/12.69 Main loop : 10.47
% 23.53/12.69 Inferencing : 0.50
% 23.53/12.69 Reduction : 0.36
% 23.53/12.69 Demodulation : 0.26
% 23.53/12.69 BG Simplification : 0.12
% 23.53/12.69 Subsumption : 9.52
% 23.53/12.70 Abstraction : 0.04
% 23.53/12.70 MUC search : 0.00
% 23.53/12.70 Cooper : 0.00
% 23.53/12.70 Total : 11.69
% 23.53/12.70 Index Insertion : 0.00
% 23.53/12.70 Index Deletion : 0.00
% 23.53/12.70 Index Matching : 0.00
% 23.53/12.70 BG Taut test : 0.00
%------------------------------------------------------------------------------