TSTP Solution File: SYO671-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO671-1 : 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 : n016.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 11:18:20 EDT 2023
% Result : Unsatisfiable 28.27s 17.01s
% Output : CNFRefutation 28.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO671-1 : 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 : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 16:29:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 28.27/17.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.27/17.03
% 28.27/17.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.53/17.04 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 28.53/17.04
% 28.53/17.04 %Foreground sorts:
% 28.53/17.04
% 28.53/17.04
% 28.53/17.04 %Background operators:
% 28.53/17.04
% 28.53/17.04
% 28.53/17.04 %Foreground operators:
% 28.53/17.04 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 28.53/17.04 tff(s, type, s: $i > $i).
% 28.53/17.04 tff(f, type, f: $i > $i).
% 28.53/17.04 tff(0, type, 0: $i).
% 28.53/17.04 tff(LE, type, LE: ($i * $i) > $o).
% 28.53/17.04 tff(suc, type, suc: $i > $i).
% 28.53/17.04 tff(z, type, z: $i).
% 28.53/17.04 tff(E, type, E: ($i * $i) > $o).
% 28.53/17.04
% 28.66/17.08 tff(f_268, axiom, (![A]: LE(f(A), s(s(s(0))))), file('unknown', unknown)).
% 28.66/17.08 tff(f_694, axiom, (![B_16]: ((~LE(f(B_16), s(s(s(0)))) | E(s(s(0)), f(B_16))) | LE(f(B_16), s(s(0))))), file('unknown', unknown)).
% 28.66/17.08 tff(f_266, axiom, (![B_28]: ((~LE(f(B_28), s(s(0))) | E(s(0), f(B_28))) | LE(f(B_28), s(0)))), file('unknown', unknown)).
% 28.66/17.08 tff(f_132, axiom, (![B_16]: ((~LE(f(suc(B_16)), s(s(s(0)))) | E(s(s(0)), f(suc(B_16)))) | LE(f(B_16), s(s(0))))), file('unknown', unknown)).
% 28.66/17.08 tff(f_149, axiom, (![B_16]: ((~LE(f(suc(suc(B_16))), s(s(s(0)))) | E(s(s(0)), f(suc(suc(B_16))))) | LE(f(B_16), s(s(0))))), file('unknown', unknown)).
% 28.66/17.08 tff(f_142, axiom, (![A_1]: (((~E(s(s(0)), f(A_1)) | ~E(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)).
% 28.66/17.08 tff(f_615, axiom, (![A_1]: ((((~E(s(s(0)), f(suc(suc(A_1)))) | ~E(s(s(0)), f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(s(0)), f(A_1))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 28.66/17.08 tff(f_340, axiom, (![A_1, B_17, B_18]: ((((((((((~E(s(s(0)), f(A_1)) | ~E(s(s(0)), f(suc(B_17)))) | ~E(s(s(0)), f(B_17))) | ~E(s(s(0)), f(suc(A_1)))) | ~iLEQ(suc(B_17), suc(B_18))) | ~E(s(s(0)), f(B_18))) | ~iLEQ(suc(A_1), suc(B_17))) | ~E(s(s(0)), f(suc(B_18)))) | E(f(A_1), f(suc(A_1)))) | E(f(B_17), f(suc(B_17)))) | E(f(B_18), f(suc(B_18))))), file('unknown', unknown)).
% 28.66/17.08 tff(f_229, axiom, (![A_1, B_17, B_18]: (((((((((((((~E(s(s(0)), f(A_1)) | ~E(s(s(0)), f(suc(B_17)))) | ~E(s(s(0)), f(B_17))) | ~E(s(s(0)), f(suc(suc(B_18))))) | ~E(s(s(0)), f(suc(A_1)))) | ~iLEQ(suc(B_17), suc(B_18))) | ~E(s(s(0)), f(B_18))) | ~E(f(B_18), f(suc(B_18)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(f(B_17), f(suc(B_17)))) | ~iLEQ(suc(A_1), suc(B_17))) | ~E(s(s(0)), f(suc(suc(A_1))))) | ~E(s(s(0)), f(suc(B_18)))) | ~E(s(s(0)), f(suc(suc(B_17)))))), file('unknown', unknown)).
% 28.66/17.08 tff(f_1019, axiom, (![B_35]: ((~LE(f(B_35), s(0)) | E(0, f(B_35))) | LE(f(B_35), 0))), file('unknown', unknown)).
% 28.66/17.08 tff(f_898, axiom, (![B_28]: ((~LE(f(suc(B_28)), s(s(0))) | E(s(0), f(suc(B_28)))) | LE(f(B_28), s(0)))), file('unknown', unknown)).
% 28.66/17.08 tff(f_1026, axiom, (![B_28]: ((~LE(f(suc(suc(B_28))), s(s(0))) | E(s(0), f(suc(suc(B_28))))) | LE(f(B_28), s(0)))), file('unknown', unknown)).
% 28.66/17.08 tff(f_560, axiom, (![A_2]: (((~E(s(0), f(A_2)) | ~E(s(0), f(suc(A_2)))) | E(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 28.66/17.08 tff(f_396, axiom, (![A_2]: ((((~E(s(0), f(suc(suc(A_2)))) | ~E(s(0), f(suc(A_2)))) | ~E(f(A_2), f(suc(A_2)))) | ~E(s(0), f(A_2))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 28.66/17.08 tff(f_738, axiom, (![B_30, A_2, B_29]: ((((((((((~E(s(0), f(B_30)) | ~E(s(0), f(suc(B_30)))) | ~E(s(0), f(suc(A_2)))) | ~iLEQ(suc(A_2), suc(B_29))) | ~E(s(0), f(B_29))) | ~iLEQ(suc(B_29), suc(B_30))) | ~E(s(0), f(suc(B_29)))) | ~E(s(0), f(A_2))) | E(f(A_2), f(suc(A_2)))) | E(f(B_29), f(suc(B_29)))) | E(f(B_30), f(suc(B_30))))), file('unknown', unknown)).
% 28.66/17.08 tff(f_310, axiom, (![B_30, A_2, B_29]: (((((((((((((~E(s(0), f(B_30)) | ~E(s(0), f(suc(B_30)))) | ~E(s(0), f(suc(A_2)))) | ~iLEQ(suc(A_2), suc(B_29))) | ~E(s(0), f(B_29))) | ~iLEQ(suc(B_29), suc(B_30))) | ~E(f(B_29), f(suc(B_29)))) | ~E(s(0), f(suc(suc(B_29))))) | ~E(s(0), f(suc(B_29)))) | ~E(s(0), f(suc(suc(A_2))))) | ~E(f(A_2), f(suc(A_2)))) | ~E(f(B_30), f(suc(B_30)))) | ~E(s(0), f(A_2))) | ~E(s(0), f(suc(suc(B_30)))))), file('unknown', unknown)).
% 28.66/17.08 tff(f_853, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 28.66/17.08 tff(f_745, axiom, (![B_35]: ((~LE(f(suc(B_35)), s(0)) | E(0, f(suc(B_35)))) | LE(f(B_35), 0))), file('unknown', unknown)).
% 28.66/17.08 tff(f_601, axiom, (![B_35]: ((~LE(f(suc(suc(B_35))), s(0)) | E(0, f(suc(suc(B_35))))) | LE(f(B_35), 0))), file('unknown', unknown)).
% 28.66/17.08 tff(f_406, axiom, (![A_3]: (((~E(0, f(A_3)) | ~E(0, f(suc(A_3)))) | E(f(A_3), f(suc(A_3)))) | iLEQ(suc(A_3), suc(A_3)))), file('unknown', unknown)).
% 28.66/17.08 tff(f_708, axiom, (![A_3]: ((((~E(0, f(suc(suc(A_3)))) | ~E(0, f(suc(A_3)))) | ~E(f(A_3), f(suc(A_3)))) | ~E(0, f(A_3))) | iLEQ(suc(A_3), suc(A_3)))), file('unknown', unknown)).
% 28.66/17.08 tff(f_259, axiom, (![B_36, A_3, B_37]: ((((((((((~E(0, f(B_36)) | ~E(0, f(suc(B_36)))) | ~E(0, f(A_3))) | ~E(0, f(suc(A_3)))) | ~E(0, f(suc(B_37)))) | ~E(0, f(B_37))) | ~iLEQ(suc(A_3), suc(B_36))) | ~iLEQ(suc(B_36), suc(B_37))) | E(f(A_3), f(suc(A_3)))) | E(f(B_36), f(suc(B_36)))) | E(f(B_37), f(suc(B_37))))), file('unknown', unknown)).
% 28.66/17.08 tff(f_382, axiom, (![B_36, B_37, A_3]: (((((((((((((~E(0, f(B_36)) | ~E(0, f(suc(suc(B_36))))) | ~E(0, f(suc(suc(B_37))))) | ~E(0, f(suc(B_36)))) | ~E(0, f(A_3))) | ~E(0, f(suc(suc(A_3))))) | ~E(f(B_36), f(suc(B_36)))) | ~E(0, f(suc(A_3)))) | ~E(f(A_3), f(suc(A_3)))) | ~E(0, f(suc(B_37)))) | ~E(0, f(B_37))) | ~E(f(B_37), f(suc(B_37)))) | ~iLEQ(suc(A_3), suc(B_36))) | ~iLEQ(suc(B_36), suc(B_37)))), file('unknown', unknown)).
% 28.66/17.08 tff(c_22, plain, (![A_23]: (LE(f(A_23), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_268])).
% 28.66/17.08 tff(c_54, plain, (![B_16_59]: (LE(f(B_16_59), s(s(0))) | E(s(s(0)), f(B_16_59)) | ~LE(f(B_16_59), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_694])).
% 28.66/17.08 tff(c_84, plain, (![B_16_59]: (LE(f(B_16_59), s(s(0))) | E(s(s(0)), f(B_16_59)))), inference(demodulation, [status(thm), theory('equality')], [c_22, c_54])).
% 28.66/17.08 tff(c_95, plain, (![B_28_95]: (LE(f(B_28_95), s(0)) | E(s(0), f(B_28_95)) | ~LE(f(B_28_95), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_266])).
% 28.66/17.08 tff(c_99, plain, (![B_16_59]: (LE(f(B_16_59), s(0)) | E(s(0), f(B_16_59)) | E(s(s(0)), f(B_16_59)))), inference(resolution, [status(thm)], [c_84, c_95])).
% 28.66/17.08 tff(c_8, plain, (![B_16_10]: (LE(f(B_16_10), s(s(0))) | E(s(s(0)), f(suc(B_16_10))) | ~LE(f(suc(B_16_10)), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_132])).
% 28.66/17.08 tff(c_88, plain, (![B_16_10]: (LE(f(B_16_10), s(s(0))) | E(s(s(0)), f(suc(B_16_10))))), inference(demodulation, [status(thm), theory('equality')], [c_22, c_8])).
% 28.66/17.08 tff(c_12, plain, (![B_16_12]: (LE(f(B_16_12), s(s(0))) | E(s(s(0)), f(suc(suc(B_16_12)))) | ~LE(f(suc(suc(B_16_12))), s(s(s(0)))))), inference(cnfTransformation, [status(thm)], [f_149])).
% 28.66/17.08 tff(c_86, plain, (![B_16_12]: (LE(f(B_16_12), s(s(0))) | E(s(s(0)), f(suc(suc(B_16_12)))))), inference(demodulation, [status(thm), theory('equality')], [c_22, c_12])).
% 28.66/17.08 tff(c_116, plain, (![A_1_104]: (iLEQ(suc(A_1_104), suc(A_1_104)) | E(f(A_1_104), f(suc(A_1_104))) | ~E(s(s(0)), f(suc(A_1_104))) | ~E(s(s(0)), f(A_1_104)))), inference(cnfTransformation, [status(thm)], [f_142])).
% 28.66/17.08 tff(c_132, plain, (![B_16_10]: (iLEQ(suc(B_16_10), suc(B_16_10)) | E(f(B_16_10), f(suc(B_16_10))) | ~E(s(s(0)), f(B_16_10)) | LE(f(B_16_10), s(s(0))))), inference(resolution, [status(thm)], [c_88, c_116])).
% 28.66/17.08 tff(c_197, plain, (![A_1_113]: (iLEQ(suc(A_1_113), suc(A_1_113)) | ~E(s(s(0)), f(A_1_113)) | ~E(f(A_1_113), f(suc(A_1_113))) | ~E(s(s(0)), f(suc(A_1_113))) | ~E(s(s(0)), f(suc(suc(A_1_113)))))), inference(cnfTransformation, [status(thm)], [f_615])).
% 28.66/17.08 tff(c_228, plain, (![B_16_119]: (~E(s(s(0)), f(suc(B_16_119))) | ~E(s(s(0)), f(suc(suc(B_16_119)))) | iLEQ(suc(B_16_119), suc(B_16_119)) | ~E(s(s(0)), f(B_16_119)) | LE(f(B_16_119), s(s(0))))), inference(resolution, [status(thm)], [c_132, c_197])).
% 28.66/17.08 tff(c_247, plain, (![B_16_120]: (~E(s(s(0)), f(suc(B_16_120))) | iLEQ(suc(B_16_120), suc(B_16_120)) | ~E(s(s(0)), f(B_16_120)) | LE(f(B_16_120), s(s(0))))), inference(resolution, [status(thm)], [c_86, c_228])).
% 28.66/17.08 tff(c_263, plain, (![B_16_10]: (iLEQ(suc(B_16_10), suc(B_16_10)) | ~E(s(s(0)), f(B_16_10)) | LE(f(B_16_10), s(s(0))))), inference(resolution, [status(thm)], [c_88, c_247])).
% 28.66/17.08 tff(c_546, plain, (![B_18_156, B_17_157, A_1_158]: (E(f(B_18_156), f(suc(B_18_156))) | E(f(B_17_157), f(suc(B_17_157))) | E(f(A_1_158), f(suc(A_1_158))) | ~E(s(s(0)), f(suc(B_18_156))) | ~iLEQ(suc(A_1_158), suc(B_17_157)) | ~E(s(s(0)), f(B_18_156)) | ~iLEQ(suc(B_17_157), suc(B_18_156)) | ~E(s(s(0)), f(suc(A_1_158))) | ~E(s(s(0)), f(B_17_157)) | ~E(s(s(0)), f(suc(B_17_157))) | ~E(s(s(0)), f(A_1_158)))), inference(cnfTransformation, [status(thm)], [f_340])).
% 28.66/17.08 tff(c_1831, plain, (![B_16_246, B_17_247, A_1_248]: (E(f(B_16_246), f(suc(B_16_246))) | E(f(B_17_247), f(suc(B_17_247))) | E(f(A_1_248), f(suc(A_1_248))) | ~iLEQ(suc(A_1_248), suc(B_17_247)) | ~E(s(s(0)), f(B_16_246)) | ~iLEQ(suc(B_17_247), suc(B_16_246)) | ~E(s(s(0)), f(suc(A_1_248))) | ~E(s(s(0)), f(B_17_247)) | ~E(s(s(0)), f(suc(B_17_247))) | ~E(s(s(0)), f(A_1_248)) | LE(f(B_16_246), s(s(0))))), inference(resolution, [status(thm)], [c_88, c_546])).
% 28.66/17.08 tff(c_2191, plain, (![B_16_259, B_16_260]: (E(f(B_16_259), f(suc(B_16_259))) | E(f(B_16_260), f(suc(B_16_260))) | ~E(s(s(0)), f(B_16_259)) | ~iLEQ(suc(B_16_260), suc(B_16_259)) | ~E(s(s(0)), f(suc(B_16_260))) | LE(f(B_16_259), s(s(0))) | ~E(s(s(0)), f(B_16_260)) | LE(f(B_16_260), s(s(0))))), inference(resolution, [status(thm)], [c_263, c_1831])).
% 28.66/17.08 tff(c_2267, plain, (![B_16_261]: (E(f(B_16_261), f(suc(B_16_261))) | ~E(s(s(0)), f(suc(B_16_261))) | ~E(s(s(0)), f(B_16_261)) | LE(f(B_16_261), s(s(0))))), inference(resolution, [status(thm)], [c_263, c_2191])).
% 28.66/17.08 tff(c_2283, plain, (![B_16_10]: (E(f(B_16_10), f(suc(B_16_10))) | ~E(s(s(0)), f(B_16_10)) | LE(f(B_16_10), s(s(0))))), inference(resolution, [status(thm)], [c_88, c_2267])).
% 28.66/17.08 tff(c_1712, plain, (![B_17_239, B_18_240, A_1_241]: (~E(s(s(0)), f(suc(suc(B_17_239)))) | ~E(s(s(0)), f(suc(B_18_240))) | ~E(s(s(0)), f(suc(suc(A_1_241)))) | ~iLEQ(suc(A_1_241), suc(B_17_239)) | ~E(f(B_17_239), f(suc(B_17_239))) | ~E(f(A_1_241), f(suc(A_1_241))) | ~E(f(B_18_240), f(suc(B_18_240))) | ~E(s(s(0)), f(B_18_240)) | ~iLEQ(suc(B_17_239), suc(B_18_240)) | ~E(s(s(0)), f(suc(A_1_241))) | ~E(s(s(0)), f(suc(suc(B_18_240)))) | ~E(s(s(0)), f(B_17_239)) | ~E(s(s(0)), f(suc(B_17_239))) | ~E(s(s(0)), f(A_1_241)))), inference(cnfTransformation, [status(thm)], [f_229])).
% 28.66/17.08 tff(c_3799, plain, (![B_18_324, A_1_325, B_16_326]: (~E(s(s(0)), f(suc(B_18_324))) | ~E(s(s(0)), f(suc(suc(A_1_325)))) | ~iLEQ(suc(A_1_325), suc(B_16_326)) | ~E(f(B_16_326), f(suc(B_16_326))) | ~E(f(A_1_325), f(suc(A_1_325))) | ~E(f(B_18_324), f(suc(B_18_324))) | ~E(s(s(0)), f(B_18_324)) | ~iLEQ(suc(B_16_326), suc(B_18_324)) | ~E(s(s(0)), f(suc(A_1_325))) | ~E(s(s(0)), f(suc(suc(B_18_324)))) | ~E(s(s(0)), f(B_16_326)) | ~E(s(s(0)), f(suc(B_16_326))) | ~E(s(s(0)), f(A_1_325)) | LE(f(B_16_326), s(s(0))))), inference(resolution, [status(thm)], [c_86, c_1712])).
% 28.66/17.08 tff(c_10074, plain, (![B_18_538, B_16_539, B_16_540]: (~E(s(s(0)), f(suc(B_18_538))) | ~iLEQ(suc(B_16_539), suc(B_16_540)) | ~E(f(B_16_540), f(suc(B_16_540))) | ~E(f(B_16_539), f(suc(B_16_539))) | ~E(f(B_18_538), f(suc(B_18_538))) | ~E(s(s(0)), f(B_18_538)) | ~iLEQ(suc(B_16_540), suc(B_18_538)) | ~E(s(s(0)), f(suc(B_16_539))) | ~E(s(s(0)), f(suc(suc(B_18_538)))) | ~E(s(s(0)), f(B_16_540)) | ~E(s(s(0)), f(suc(B_16_540))) | ~E(s(s(0)), f(B_16_539)) | LE(f(B_16_540), s(s(0))) | LE(f(B_16_539), s(s(0))))), inference(resolution, [status(thm)], [c_86, c_3799])).
% 28.66/17.08 tff(c_10183, plain, (![B_18_541, B_16_542]: (~E(s(s(0)), f(suc(B_18_541))) | ~E(f(B_16_542), f(suc(B_16_542))) | ~E(f(B_18_541), f(suc(B_18_541))) | ~E(s(s(0)), f(B_18_541)) | ~iLEQ(suc(B_16_542), suc(B_18_541)) | ~E(s(s(0)), f(suc(suc(B_18_541)))) | ~E(s(s(0)), f(suc(B_16_542))) | ~E(s(s(0)), f(B_16_542)) | LE(f(B_16_542), s(s(0))))), inference(resolution, [status(thm)], [c_263, c_10074])).
% 28.66/17.08 tff(c_10280, plain, (![B_18_543, B_16_544]: (~E(s(s(0)), f(suc(B_18_543))) | ~E(f(B_18_543), f(suc(B_18_543))) | ~E(s(s(0)), f(B_18_543)) | ~iLEQ(suc(B_16_544), suc(B_18_543)) | ~E(s(s(0)), f(suc(suc(B_18_543)))) | ~E(s(s(0)), f(suc(B_16_544))) | ~E(s(s(0)), f(B_16_544)) | LE(f(B_16_544), s(s(0))))), inference(resolution, [status(thm)], [c_2283, c_10183])).
% 28.66/17.08 tff(c_10377, plain, (![B_16_545, B_16_546]: (~E(s(s(0)), f(suc(B_16_545))) | ~iLEQ(suc(B_16_546), suc(B_16_545)) | ~E(s(s(0)), f(suc(suc(B_16_545)))) | ~E(s(s(0)), f(suc(B_16_546))) | ~E(s(s(0)), f(B_16_546)) | LE(f(B_16_546), s(s(0))) | ~E(s(s(0)), f(B_16_545)) | LE(f(B_16_545), s(s(0))))), inference(resolution, [status(thm)], [c_2283, c_10280])).
% 28.66/17.08 tff(c_10595, plain, (![B_16_549]: (~E(s(s(0)), f(suc(suc(B_16_549)))) | ~E(s(s(0)), f(suc(B_16_549))) | ~E(s(s(0)), f(B_16_549)) | LE(f(B_16_549), s(s(0))))), inference(resolution, [status(thm)], [c_263, c_10377])).
% 28.66/17.08 tff(c_10616, plain, (![B_16_550]: (~E(s(s(0)), f(suc(B_16_550))) | ~E(s(s(0)), f(B_16_550)) | LE(f(B_16_550), s(s(0))))), inference(resolution, [status(thm)], [c_86, c_10595])).
% 28.66/17.08 tff(c_10637, plain, (![B_16_551]: (~E(s(s(0)), f(B_16_551)) | LE(f(B_16_551), s(s(0))))), inference(resolution, [status(thm)], [c_88, c_10616])).
% 28.66/17.08 tff(c_20, plain, (![B_28_22]: (LE(f(B_28_22), s(0)) | E(s(0), f(B_28_22)) | ~LE(f(B_28_22), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_266])).
% 28.66/17.08 tff(c_10650, plain, (![B_16_552]: (LE(f(B_16_552), s(0)) | E(s(0), f(B_16_552)) | ~E(s(s(0)), f(B_16_552)))), inference(resolution, [status(thm)], [c_10637, c_20])).
% 28.66/17.08 tff(c_10671, plain, (![B_16_553]: (LE(f(B_16_553), s(0)) | E(s(0), f(B_16_553)))), inference(resolution, [status(thm)], [c_99, c_10650])).
% 28.66/17.08 tff(c_80, plain, (![B_35_87]: (LE(f(B_35_87), 0) | E(0, f(B_35_87)) | ~LE(f(B_35_87), s(0)))), inference(cnfTransformation, [status(thm)], [f_1019])).
% 28.66/17.08 tff(c_10683, plain, (![B_16_553]: (LE(f(B_16_553), 0) | E(0, f(B_16_553)) | E(s(0), f(B_16_553)))), inference(resolution, [status(thm)], [c_10671, c_80])).
% 28.66/17.08 tff(c_102, plain, (![B_28_98]: (LE(f(B_28_98), s(0)) | E(s(0), f(suc(B_28_98))) | ~LE(f(suc(B_28_98)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_898])).
% 28.66/17.08 tff(c_106, plain, (![B_28_98]: (LE(f(B_28_98), s(0)) | E(s(0), f(suc(B_28_98))) | E(s(s(0)), f(suc(B_28_98))))), inference(resolution, [status(thm)], [c_84, c_102])).
% 28.66/17.08 tff(c_72, plain, (![B_28_77]: (LE(f(B_28_77), s(0)) | E(s(0), f(suc(B_28_77))) | ~LE(f(suc(B_28_77)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_898])).
% 28.66/17.08 tff(c_10870, plain, (![B_28_560]: (LE(f(B_28_560), s(0)) | E(s(0), f(suc(B_28_560))) | ~E(s(s(0)), f(suc(B_28_560))))), inference(resolution, [status(thm)], [c_10637, c_72])).
% 28.66/17.08 tff(c_10884, plain, (![B_28_98]: (LE(f(B_28_98), s(0)) | E(s(0), f(suc(B_28_98))))), inference(resolution, [status(thm)], [c_106, c_10870])).
% 28.66/17.08 tff(c_108, plain, (![B_28_100]: (LE(f(B_28_100), s(0)) | E(s(0), f(suc(suc(B_28_100)))) | ~LE(f(suc(suc(B_28_100))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_1026])).
% 28.66/17.08 tff(c_112, plain, (![B_28_100]: (LE(f(B_28_100), s(0)) | E(s(0), f(suc(suc(B_28_100)))) | E(s(s(0)), f(suc(suc(B_28_100)))))), inference(resolution, [status(thm)], [c_84, c_108])).
% 28.66/17.08 tff(c_82, plain, (![B_28_88]: (LE(f(B_28_88), s(0)) | E(s(0), f(suc(suc(B_28_88)))) | ~LE(f(suc(suc(B_28_88))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_1026])).
% 28.66/17.08 tff(c_10922, plain, (![B_28_562]: (LE(f(B_28_562), s(0)) | E(s(0), f(suc(suc(B_28_562)))) | ~E(s(s(0)), f(suc(suc(B_28_562)))))), inference(resolution, [status(thm)], [c_10637, c_82])).
% 28.66/17.08 tff(c_10932, plain, (![B_28_100]: (LE(f(B_28_100), s(0)) | E(s(0), f(suc(suc(B_28_100)))))), inference(resolution, [status(thm)], [c_112, c_10922])).
% 28.66/17.08 tff(c_10887, plain, (![B_28_561]: (LE(f(B_28_561), s(0)) | E(s(0), f(suc(B_28_561))))), inference(resolution, [status(thm)], [c_106, c_10870])).
% 28.66/17.08 tff(c_42, plain, (![A_2_47]: (iLEQ(suc(A_2_47), suc(A_2_47)) | E(f(A_2_47), f(suc(A_2_47))) | ~E(s(0), f(suc(A_2_47))) | ~E(s(0), f(A_2_47)))), inference(cnfTransformation, [status(thm)], [f_560])).
% 28.66/17.08 tff(c_10964, plain, (![B_28_564]: (iLEQ(suc(B_28_564), suc(B_28_564)) | E(f(B_28_564), f(suc(B_28_564))) | ~E(s(0), f(B_28_564)) | LE(f(B_28_564), s(0)))), inference(resolution, [status(thm)], [c_10887, c_42])).
% 28.66/17.08 tff(c_30, plain, (![A_2_33]: (iLEQ(suc(A_2_33), suc(A_2_33)) | ~E(s(0), f(A_2_33)) | ~E(f(A_2_33), f(suc(A_2_33))) | ~E(s(0), f(suc(A_2_33))) | ~E(s(0), f(suc(suc(A_2_33)))))), inference(cnfTransformation, [status(thm)], [f_396])).
% 28.66/17.08 tff(c_11016, plain, (![B_28_568]: (~E(s(0), f(suc(B_28_568))) | ~E(s(0), f(suc(suc(B_28_568)))) | iLEQ(suc(B_28_568), suc(B_28_568)) | ~E(s(0), f(B_28_568)) | LE(f(B_28_568), s(0)))), inference(resolution, [status(thm)], [c_10964, c_30])).
% 28.66/17.08 tff(c_11035, plain, (![B_28_569]: (~E(s(0), f(suc(B_28_569))) | iLEQ(suc(B_28_569), suc(B_28_569)) | ~E(s(0), f(B_28_569)) | LE(f(B_28_569), s(0)))), inference(resolution, [status(thm)], [c_10932, c_11016])).
% 28.66/17.08 tff(c_11048, plain, (![B_28_98]: (iLEQ(suc(B_28_98), suc(B_28_98)) | ~E(s(0), f(B_28_98)) | LE(f(B_28_98), s(0)))), inference(resolution, [status(thm)], [c_10884, c_11035])).
% 28.66/17.08 tff(c_58, plain, (![B_30_61, B_29_63, A_2_62]: (E(f(B_30_61), f(suc(B_30_61))) | E(f(B_29_63), f(suc(B_29_63))) | E(f(A_2_62), f(suc(A_2_62))) | ~E(s(0), f(A_2_62)) | ~E(s(0), f(suc(B_29_63))) | ~iLEQ(suc(B_29_63), suc(B_30_61)) | ~E(s(0), f(B_29_63)) | ~iLEQ(suc(A_2_62), suc(B_29_63)) | ~E(s(0), f(suc(A_2_62))) | ~E(s(0), f(suc(B_30_61))) | ~E(s(0), f(B_30_61)))), inference(cnfTransformation, [status(thm)], [f_738])).
% 28.66/17.08 tff(c_12220, plain, (![B_30_618, B_28_619, A_2_620]: (E(f(B_30_618), f(suc(B_30_618))) | E(f(B_28_619), f(suc(B_28_619))) | E(f(A_2_620), f(suc(A_2_620))) | ~E(s(0), f(A_2_620)) | ~iLEQ(suc(B_28_619), suc(B_30_618)) | ~E(s(0), f(B_28_619)) | ~iLEQ(suc(A_2_620), suc(B_28_619)) | ~E(s(0), f(suc(A_2_620))) | ~E(s(0), f(suc(B_30_618))) | ~E(s(0), f(B_30_618)) | LE(f(B_28_619), s(0)))), inference(resolution, [status(thm)], [c_10887, c_58])).
% 28.66/17.08 tff(c_12272, plain, (![B_28_621, A_2_622]: (E(f(B_28_621), f(suc(B_28_621))) | E(f(A_2_622), f(suc(A_2_622))) | ~E(s(0), f(A_2_622)) | ~iLEQ(suc(A_2_622), suc(B_28_621)) | ~E(s(0), f(suc(A_2_622))) | ~E(s(0), f(suc(B_28_621))) | ~E(s(0), f(B_28_621)) | LE(f(B_28_621), s(0)))), inference(resolution, [status(thm)], [c_11048, c_12220])).
% 28.66/17.08 tff(c_12324, plain, (![B_28_623]: (E(f(B_28_623), f(suc(B_28_623))) | ~E(s(0), f(suc(B_28_623))) | ~E(s(0), f(B_28_623)) | LE(f(B_28_623), s(0)))), inference(resolution, [status(thm)], [c_11048, c_12272])).
% 28.66/17.08 tff(c_12337, plain, (![B_28_98]: (E(f(B_28_98), f(suc(B_28_98))) | ~E(s(0), f(B_28_98)) | LE(f(B_28_98), s(0)))), inference(resolution, [status(thm)], [c_10884, c_12324])).
% 28.66/17.08 tff(c_10935, plain, (![B_28_563]: (LE(f(B_28_563), s(0)) | E(s(0), f(suc(suc(B_28_563)))))), inference(resolution, [status(thm)], [c_112, c_10922])).
% 28.66/17.08 tff(c_24, plain, (![B_30_24, A_2_25, B_29_26]: (~E(s(0), f(suc(suc(B_30_24)))) | ~E(s(0), f(A_2_25)) | ~E(f(B_30_24), f(suc(B_30_24))) | ~E(f(A_2_25), f(suc(A_2_25))) | ~E(s(0), f(suc(suc(A_2_25)))) | ~E(s(0), f(suc(B_29_26))) | ~E(s(0), f(suc(suc(B_29_26)))) | ~E(f(B_29_26), f(suc(B_29_26))) | ~iLEQ(suc(B_29_26), suc(B_30_24)) | ~E(s(0), f(B_29_26)) | ~iLEQ(suc(A_2_25), suc(B_29_26)) | ~E(s(0), f(suc(A_2_25))) | ~E(s(0), f(suc(B_30_24))) | ~E(s(0), f(B_30_24)))), inference(cnfTransformation, [status(thm)], [f_310])).
% 28.66/17.08 tff(c_23382, plain, (![A_2_1309, B_28_1310, B_29_1311]: (~E(s(0), f(A_2_1309)) | ~E(f(B_28_1310), f(suc(B_28_1310))) | ~E(f(A_2_1309), f(suc(A_2_1309))) | ~E(s(0), f(suc(suc(A_2_1309)))) | ~E(s(0), f(suc(B_29_1311))) | ~E(s(0), f(suc(suc(B_29_1311)))) | ~E(f(B_29_1311), f(suc(B_29_1311))) | ~iLEQ(suc(B_29_1311), suc(B_28_1310)) | ~E(s(0), f(B_29_1311)) | ~iLEQ(suc(A_2_1309), suc(B_29_1311)) | ~E(s(0), f(suc(A_2_1309))) | ~E(s(0), f(suc(B_28_1310))) | ~E(s(0), f(B_28_1310)) | LE(f(B_28_1310), s(0)))), inference(resolution, [status(thm)], [c_10935, c_24])).
% 28.66/17.08 tff(c_23443, plain, (![A_2_1312, B_29_1313, B_28_1314]: (~E(s(0), f(A_2_1312)) | ~E(f(A_2_1312), f(suc(A_2_1312))) | ~E(s(0), f(suc(suc(A_2_1312)))) | ~E(s(0), f(suc(B_29_1313))) | ~E(s(0), f(suc(suc(B_29_1313)))) | ~E(f(B_29_1313), f(suc(B_29_1313))) | ~iLEQ(suc(B_29_1313), suc(B_28_1314)) | ~E(s(0), f(B_29_1313)) | ~iLEQ(suc(A_2_1312), suc(B_29_1313)) | ~E(s(0), f(suc(A_2_1312))) | ~E(s(0), f(suc(B_28_1314))) | ~E(s(0), f(B_28_1314)) | LE(f(B_28_1314), s(0)))), inference(resolution, [status(thm)], [c_12337, c_23382])).
% 28.66/17.08 tff(c_23504, plain, (![B_28_1315, B_29_1316, B_28_1317]: (~E(s(0), f(suc(suc(B_28_1315)))) | ~E(s(0), f(suc(B_29_1316))) | ~E(s(0), f(suc(suc(B_29_1316)))) | ~E(f(B_29_1316), f(suc(B_29_1316))) | ~iLEQ(suc(B_29_1316), suc(B_28_1317)) | ~E(s(0), f(B_29_1316)) | ~iLEQ(suc(B_28_1315), suc(B_29_1316)) | ~E(s(0), f(suc(B_28_1315))) | ~E(s(0), f(suc(B_28_1317))) | ~E(s(0), f(B_28_1317)) | LE(f(B_28_1317), s(0)) | ~E(s(0), f(B_28_1315)) | LE(f(B_28_1315), s(0)))), inference(resolution, [status(thm)], [c_12337, c_23443])).
% 28.66/17.08 tff(c_23523, plain, (![B_29_1318, B_28_1319, B_28_1320]: (~E(s(0), f(suc(B_29_1318))) | ~E(s(0), f(suc(suc(B_29_1318)))) | ~E(f(B_29_1318), f(suc(B_29_1318))) | ~iLEQ(suc(B_29_1318), suc(B_28_1319)) | ~E(s(0), f(B_29_1318)) | ~iLEQ(suc(B_28_1320), suc(B_29_1318)) | ~E(s(0), f(suc(B_28_1320))) | ~E(s(0), f(suc(B_28_1319))) | ~E(s(0), f(B_28_1319)) | LE(f(B_28_1319), s(0)) | ~E(s(0), f(B_28_1320)) | LE(f(B_28_1320), s(0)))), inference(resolution, [status(thm)], [c_10932, c_23504])).
% 28.66/17.08 tff(c_23542, plain, (![B_28_1321, B_28_1322, B_28_1323]: (~E(s(0), f(suc(B_28_1321))) | ~E(f(B_28_1321), f(suc(B_28_1321))) | ~iLEQ(suc(B_28_1321), suc(B_28_1322)) | ~E(s(0), f(B_28_1321)) | ~iLEQ(suc(B_28_1323), suc(B_28_1321)) | ~E(s(0), f(suc(B_28_1323))) | ~E(s(0), f(suc(B_28_1322))) | ~E(s(0), f(B_28_1322)) | LE(f(B_28_1322), s(0)) | ~E(s(0), f(B_28_1323)) | LE(f(B_28_1323), s(0)) | LE(f(B_28_1321), s(0)))), inference(resolution, [status(thm)], [c_10932, c_23523])).
% 28.66/17.08 tff(c_23559, plain, (![B_28_1324, B_28_1325, B_28_1326]: (~E(f(B_28_1324), f(suc(B_28_1324))) | ~iLEQ(suc(B_28_1324), suc(B_28_1325)) | ~E(s(0), f(B_28_1324)) | ~iLEQ(suc(B_28_1326), suc(B_28_1324)) | ~E(s(0), f(suc(B_28_1326))) | ~E(s(0), f(suc(B_28_1325))) | ~E(s(0), f(B_28_1325)) | LE(f(B_28_1325), s(0)) | ~E(s(0), f(B_28_1326)) | LE(f(B_28_1326), s(0)) | LE(f(B_28_1324), s(0)))), inference(resolution, [status(thm)], [c_10884, c_23542])).
% 28.66/17.08 tff(c_23620, plain, (![B_28_1327, B_28_1328, B_28_1329]: (~iLEQ(suc(B_28_1327), suc(B_28_1328)) | ~iLEQ(suc(B_28_1329), suc(B_28_1327)) | ~E(s(0), f(suc(B_28_1329))) | ~E(s(0), f(suc(B_28_1328))) | ~E(s(0), f(B_28_1328)) | LE(f(B_28_1328), s(0)) | ~E(s(0), f(B_28_1329)) | LE(f(B_28_1329), s(0)) | ~E(s(0), f(B_28_1327)) | LE(f(B_28_1327), s(0)))), inference(resolution, [status(thm)], [c_12337, c_23559])).
% 28.66/17.08 tff(c_23672, plain, (![B_28_1330, B_28_1331]: (~iLEQ(suc(B_28_1330), suc(B_28_1331)) | ~E(s(0), f(suc(B_28_1330))) | ~E(s(0), f(suc(B_28_1331))) | ~E(s(0), f(B_28_1330)) | LE(f(B_28_1330), s(0)) | ~E(s(0), f(B_28_1331)) | LE(f(B_28_1331), s(0)))), inference(resolution, [status(thm)], [c_11048, c_23620])).
% 28.66/17.08 tff(c_23724, plain, (![B_28_1332]: (~E(s(0), f(suc(B_28_1332))) | ~E(s(0), f(B_28_1332)) | LE(f(B_28_1332), s(0)))), inference(resolution, [status(thm)], [c_11048, c_23672])).
% 28.66/17.08 tff(c_23806, plain, (![B_28_1336]: (~E(s(0), f(B_28_1336)) | LE(f(B_28_1336), s(0)))), inference(resolution, [status(thm)], [c_10884, c_23724])).
% 28.66/17.08 tff(c_23819, plain, (![B_28_1337]: (LE(f(B_28_1337), 0) | E(0, f(B_28_1337)) | ~E(s(0), f(B_28_1337)))), inference(resolution, [status(thm)], [c_23806, c_80])).
% 28.66/17.08 tff(c_23840, plain, (![B_16_1338]: (LE(f(B_16_1338), 0) | E(0, f(B_16_1338)))), inference(resolution, [status(thm)], [c_10683, c_23819])).
% 28.66/17.08 tff(c_68, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_853])).
% 28.66/17.08 tff(c_23844, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_23840, c_68])).
% 28.66/17.08 tff(c_60, plain, (![B_35_64]: (LE(f(B_35_64), 0) | E(0, f(suc(B_35_64))) | ~LE(f(suc(B_35_64)), s(0)))), inference(cnfTransformation, [status(thm)], [f_745])).
% 28.66/17.08 tff(c_10682, plain, (![B_35_64]: (LE(f(B_35_64), 0) | E(0, f(suc(B_35_64))) | E(s(0), f(suc(B_35_64))))), inference(resolution, [status(thm)], [c_10671, c_60])).
% 28.66/17.08 tff(c_23845, plain, (![B_35_1339]: (LE(f(B_35_1339), 0) | E(0, f(suc(B_35_1339))) | ~E(s(0), f(suc(B_35_1339))))), inference(resolution, [status(thm)], [c_23806, c_60])).
% 28.66/17.08 tff(c_23861, plain, (![B_35_64]: (LE(f(B_35_64), 0) | E(0, f(suc(B_35_64))))), inference(resolution, [status(thm)], [c_10682, c_23845])).
% 28.66/17.08 tff(c_46, plain, (![B_35_51]: (LE(f(B_35_51), 0) | E(0, f(suc(suc(B_35_51)))) | ~LE(f(suc(suc(B_35_51))), s(0)))), inference(cnfTransformation, [status(thm)], [f_601])).
% 28.66/17.08 tff(c_10681, plain, (![B_35_51]: (LE(f(B_35_51), 0) | E(0, f(suc(suc(B_35_51)))) | E(s(0), f(suc(suc(B_35_51)))))), inference(resolution, [status(thm)], [c_10671, c_46])).
% 28.66/17.08 tff(c_23867, plain, (![B_35_1341]: (LE(f(B_35_1341), 0) | E(0, f(suc(suc(B_35_1341)))) | ~E(s(0), f(suc(suc(B_35_1341)))))), inference(resolution, [status(thm)], [c_23806, c_46])).
% 28.66/17.08 tff(c_23879, plain, (![B_35_51]: (LE(f(B_35_51), 0) | E(0, f(suc(suc(B_35_51)))))), inference(resolution, [status(thm)], [c_10681, c_23867])).
% 28.66/17.08 tff(c_23880, plain, (![B_35_1342]: (LE(f(B_35_1342), 0) | E(0, f(suc(suc(B_35_1342)))))), inference(resolution, [status(thm)], [c_10681, c_23867])).
% 28.66/17.08 tff(c_32, plain, (![A_3_34]: (iLEQ(suc(A_3_34), suc(A_3_34)) | E(f(A_3_34), f(suc(A_3_34))) | ~E(0, f(suc(A_3_34))) | ~E(0, f(A_3_34)))), inference(cnfTransformation, [status(thm)], [f_406])).
% 28.66/17.08 tff(c_140, plain, (![A_3_106]: (iLEQ(suc(A_3_106), suc(A_3_106)) | ~E(0, f(A_3_106)) | ~E(f(A_3_106), f(suc(A_3_106))) | ~E(0, f(suc(A_3_106))) | ~E(0, f(suc(suc(A_3_106)))))), inference(cnfTransformation, [status(thm)], [f_708])).
% 28.66/17.08 tff(c_148, plain, (![A_3_34]: (~E(0, f(suc(suc(A_3_34)))) | iLEQ(suc(A_3_34), suc(A_3_34)) | ~E(0, f(suc(A_3_34))) | ~E(0, f(A_3_34)))), inference(resolution, [status(thm)], [c_32, c_140])).
% 28.66/17.08 tff(c_23883, plain, (![B_35_1342]: (iLEQ(suc(B_35_1342), suc(B_35_1342)) | ~E(0, f(suc(B_35_1342))) | ~E(0, f(B_35_1342)) | LE(f(B_35_1342), 0))), inference(resolution, [status(thm)], [c_23880, c_148])).
% 28.66/17.08 tff(c_23884, plain, (![B_35_1343]: (iLEQ(suc(B_35_1343), suc(B_35_1343)) | ~E(0, f(suc(B_35_1343))) | ~E(0, f(B_35_1343)) | LE(f(B_35_1343), 0))), inference(resolution, [status(thm)], [c_23880, c_148])).
% 28.66/17.08 tff(c_18, plain, (![B_37_21, B_36_19, A_3_20]: (E(f(B_37_21), f(suc(B_37_21))) | E(f(B_36_19), f(suc(B_36_19))) | E(f(A_3_20), f(suc(A_3_20))) | ~iLEQ(suc(B_36_19), suc(B_37_21)) | ~iLEQ(suc(A_3_20), suc(B_36_19)) | ~E(0, f(B_37_21)) | ~E(0, f(suc(B_37_21))) | ~E(0, f(suc(A_3_20))) | ~E(0, f(A_3_20)) | ~E(0, f(suc(B_36_19))) | ~E(0, f(B_36_19)))), inference(cnfTransformation, [status(thm)], [f_259])).
% 28.66/17.08 tff(c_23954, plain, (![B_35_1345, A_3_1346]: (E(f(B_35_1345), f(suc(B_35_1345))) | E(f(A_3_1346), f(suc(A_3_1346))) | ~iLEQ(suc(A_3_1346), suc(B_35_1345)) | ~E(0, f(suc(A_3_1346))) | ~E(0, f(A_3_1346)) | ~E(0, f(suc(B_35_1345))) | ~E(0, f(B_35_1345)) | LE(f(B_35_1345), 0))), inference(resolution, [status(thm)], [c_23884, c_18])).
% 28.66/17.08 tff(c_23960, plain, (![B_35_1342]: (E(f(B_35_1342), f(suc(B_35_1342))) | ~E(0, f(suc(B_35_1342))) | ~E(0, f(B_35_1342)) | LE(f(B_35_1342), 0))), inference(resolution, [status(thm)], [c_23883, c_23954])).
% 28.66/17.08 tff(c_28, plain, (![B_36_30, B_37_31, A_3_32]: (~iLEQ(suc(B_36_30), suc(B_37_31)) | ~iLEQ(suc(A_3_32), suc(B_36_30)) | ~E(f(B_37_31), f(suc(B_37_31))) | ~E(0, f(B_37_31)) | ~E(0, f(suc(B_37_31))) | ~E(f(A_3_32), f(suc(A_3_32))) | ~E(0, f(suc(A_3_32))) | ~E(f(B_36_30), f(suc(B_36_30))) | ~E(0, f(suc(suc(A_3_32)))) | ~E(0, f(A_3_32)) | ~E(0, f(suc(B_36_30))) | ~E(0, f(suc(suc(B_37_31)))) | ~E(0, f(suc(suc(B_36_30)))) | ~E(0, f(B_36_30)))), inference(cnfTransformation, [status(thm)], [f_382])).
% 28.66/17.08 tff(c_24008, plain, (![A_3_1355, B_35_1356]: (~iLEQ(suc(A_3_1355), suc(B_35_1356)) | ~E(f(A_3_1355), f(suc(A_3_1355))) | ~E(0, f(suc(A_3_1355))) | ~E(f(B_35_1356), f(suc(B_35_1356))) | ~E(0, f(suc(suc(A_3_1355)))) | ~E(0, f(A_3_1355)) | ~E(0, f(suc(suc(B_35_1356)))) | ~E(0, f(suc(B_35_1356))) | ~E(0, f(B_35_1356)) | LE(f(B_35_1356), 0))), inference(resolution, [status(thm)], [c_23884, c_28])).
% 28.66/17.08 tff(c_24015, plain, (![B_35_1357]: (~E(f(B_35_1357), f(suc(B_35_1357))) | ~E(0, f(suc(suc(B_35_1357)))) | ~E(0, f(suc(B_35_1357))) | ~E(0, f(B_35_1357)) | LE(f(B_35_1357), 0))), inference(resolution, [status(thm)], [c_23883, c_24008])).
% 28.66/17.08 tff(c_24043, plain, (![B_35_1360]: (~E(0, f(suc(suc(B_35_1360)))) | ~E(0, f(suc(B_35_1360))) | ~E(0, f(B_35_1360)) | LE(f(B_35_1360), 0))), inference(resolution, [status(thm)], [c_23960, c_24015])).
% 28.66/17.08 tff(c_24052, plain, (![B_35_1361]: (~E(0, f(suc(B_35_1361))) | ~E(0, f(B_35_1361)) | LE(f(B_35_1361), 0))), inference(resolution, [status(thm)], [c_23879, c_24043])).
% 28.66/17.08 tff(c_24061, plain, (![B_35_1362]: (~E(0, f(B_35_1362)) | LE(f(B_35_1362), 0))), inference(resolution, [status(thm)], [c_23861, c_24052])).
% 28.66/17.08 tff(c_24064, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_24061, c_68])).
% 28.66/17.08 tff(c_24068, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_23844, c_24064])).
% 28.66/17.08 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.66/17.08
% 28.66/17.08 Inference rules
% 28.66/17.08 ----------------------
% 28.66/17.08 #Ref : 0
% 28.66/17.08 #Sup : 7372
% 28.66/17.08 #Fact : 0
% 28.66/17.08 #Define : 0
% 28.66/17.08 #Split : 0
% 28.66/17.08 #Chain : 0
% 28.66/17.08 #Close : 0
% 28.66/17.08
% 28.66/17.08 Ordering : KBO
% 28.66/17.08
% 28.66/17.08 Simplification rules
% 28.66/17.08 ----------------------
% 28.66/17.08 #Subsume : 5433
% 28.66/17.08 #Demod : 4
% 28.66/17.08 #Tautology : 859
% 28.66/17.08 #SimpNegUnit : 0
% 28.66/17.08 #BackRed : 0
% 28.66/17.08
% 28.66/17.08 #Partial instantiations: 0
% 28.66/17.08 #Strategies tried : 1
% 28.66/17.08
% 28.66/17.08 Timing (in seconds)
% 28.66/17.08 ----------------------
% 28.66/17.08 Preprocessing : 0.72
% 28.66/17.08 Parsing : 0.40
% 28.66/17.08 CNF conversion : 0.05
% 28.66/17.08 Main loop : 15.26
% 28.66/17.09 Inferencing : 1.39
% 28.66/17.09 Reduction : 1.27
% 28.66/17.09 Demodulation : 0.79
% 28.66/17.09 BG Simplification : 0.11
% 28.66/17.09 Subsumption : 12.20
% 28.66/17.09 Abstraction : 0.17
% 28.66/17.09 MUC search : 0.00
% 28.66/17.09 Cooper : 0.00
% 28.66/17.09 Total : 16.06
% 28.66/17.09 Index Insertion : 0.00
% 28.66/17.09 Index Deletion : 0.00
% 28.66/17.09 Index Matching : 0.00
% 28.66/17.09 BG Taut test : 0.00
%------------------------------------------------------------------------------