TSTP Solution File: SYO658-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO658-1 : 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 : n003.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 11:18:19 EDT 2023
% Result : Unsatisfiable 30.64s 21.08s
% Output : CNFRefutation 30.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYO658-1 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 16:02:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 30.64/21.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.64/21.10
% 30.64/21.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.64/21.11 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 30.64/21.11
% 30.64/21.11 %Foreground sorts:
% 30.64/21.11
% 30.64/21.11
% 30.64/21.11 %Background operators:
% 30.64/21.11
% 30.64/21.11
% 30.64/21.11 %Foreground operators:
% 30.64/21.11 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 30.64/21.11 tff(s, type, s: $i > $i).
% 30.64/21.11 tff(f, type, f: $i > $i).
% 30.64/21.11 tff(0, type, 0: $i).
% 30.64/21.11 tff(LE, type, LE: ($i * $i) > $o).
% 30.64/21.11 tff(suc, type, suc: $i > $i).
% 30.64/21.11 tff(z, type, z: $i).
% 30.64/21.11 tff(E, type, E: ($i * $i) > $o).
% 30.64/21.11
% 30.87/21.15 tff(f_202, axiom, (![A]: LE(f(A), s(s(0)))), file('unknown', unknown)).
% 30.87/21.15 tff(f_378, 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)).
% 30.87/21.15 tff(f_592, axiom, (![B_5]: ((~LE(f(B_5), s(0)) | E(0, f(B_5))) | LE(f(B_5), 0))), file('unknown', unknown)).
% 30.87/21.15 tff(f_76, 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)).
% 30.87/21.15 tff(f_86, axiom, (![A_1]: (((~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1)))) | E(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 30.87/21.15 tff(f_599, 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)).
% 30.87/21.15 tff(f_585, axiom, (![A_1]: (((((~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(0), f(A_1))) | E(f(A_1), f(suc(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 30.87/21.15 tff(f_69, 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)).
% 30.87/21.15 tff(f_709, axiom, (![A_1]: ((((((~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(A_1)))) | ~E(f(A_1), f(suc(suc(A_1))))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(0), f(suc(suc(suc(A_1)))))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 30.87/21.15 tff(f_221, axiom, (![A_1, B_3]: ((((((~iLEQ(suc(A_1), suc(B_3)) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(A_1)))) | ~E(s(0), f(suc(B_3)))) | ~E(s(0), f(B_3))) | E(f(A_1), f(suc(A_1)))) | E(f(B_3), f(suc(B_3))))), file('unknown', unknown)).
% 30.87/21.15 tff(f_351, axiom, (![A_1, B_3]: ((((((((((~iLEQ(suc(A_1), suc(B_3)) | ~E(s(0), f(suc(suc(A_1))))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(suc(B_3))))) | ~E(s(0), f(suc(A_1)))) | ~E(s(0), f(suc(B_3)))) | ~E(s(0), f(B_3))) | ~E(f(B_3), f(suc(B_3)))) | ~E(f(A_1), f(suc(A_1)))) | E(f(A_1), f(suc(suc(A_1))))) | E(f(B_3), f(suc(suc(B_3)))))), file('unknown', unknown)).
% 30.87/21.15 tff(f_285, axiom, (![A_1, B_3]: ((((((((((((~iLEQ(suc(A_1), suc(B_3)) | ~E(s(0), f(suc(suc(A_1))))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(suc(B_3))))) | ~E(s(0), f(suc(A_1)))) | ~E(s(0), f(suc(suc(suc(B_3)))))) | ~E(s(0), f(suc(B_3)))) | ~E(s(0), f(B_3))) | ~E(f(A_1), f(suc(suc(A_1))))) | ~E(f(B_3), f(suc(B_3)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(0), f(suc(suc(suc(A_1)))))) | ~E(f(B_3), f(suc(suc(B_3)))))), file('unknown', unknown)).
% 30.87/21.15 tff(f_153, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 30.87/21.15 tff(f_650, axiom, (![B_5]: ((~LE(f(suc(B_5)), s(0)) | E(0, f(suc(B_5)))) | LE(f(B_5), 0))), file('unknown', unknown)).
% 30.87/21.15 tff(f_151, axiom, (![B_5]: ((~LE(f(suc(suc(B_5))), s(0)) | E(0, f(suc(suc(B_5))))) | LE(f(B_5), 0))), file('unknown', unknown)).
% 30.87/21.15 tff(f_689, axiom, (![A_2]: (((~E(0, f(A_2)) | ~E(0, f(suc(A_2)))) | E(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 30.87/21.15 tff(f_445, axiom, (![B_5]: ((~LE(f(suc(suc(suc(B_5)))), s(0)) | E(0, f(suc(suc(suc(B_5)))))) | LE(f(B_5), 0))), file('unknown', unknown)).
% 30.87/21.15 tff(f_200, axiom, (![A_2]: (((((~E(0, f(suc(suc(A_2)))) | ~E(0, f(suc(A_2)))) | ~E(f(A_2), f(suc(A_2)))) | ~E(0, f(A_2))) | E(f(A_2), f(suc(suc(A_2))))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 30.87/21.15 tff(f_371, axiom, (![A_2]: ((((((~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(A_2))))) | ~E(f(A_2), f(suc(suc(A_2))))) | ~E(0, f(A_2))) | ~E(0, f(suc(suc(suc(A_2)))))) | ~E(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 30.87/21.15 tff(f_618, axiom, (![A_2, B_6]: ((((((~E(0, f(suc(A_2))) | ~E(0, f(A_2))) | ~iLEQ(suc(A_2), suc(B_6))) | ~E(0, f(B_6))) | ~E(0, f(suc(B_6)))) | E(f(A_2), f(suc(A_2)))) | E(f(B_6), f(suc(B_6))))), file('unknown', unknown)).
% 30.87/21.15 tff(f_184, axiom, (![A_2, B_6]: ((((((((((~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(B_6))))) | ~E(0, f(suc(suc(A_2))))) | ~E(0, f(A_2))) | ~iLEQ(suc(A_2), suc(B_6))) | ~E(0, f(B_6))) | ~E(f(A_2), f(suc(A_2)))) | ~E(f(B_6), f(suc(B_6)))) | ~E(0, f(suc(B_6)))) | E(f(A_2), f(suc(suc(A_2))))) | E(f(B_6), f(suc(suc(B_6)))))), file('unknown', unknown)).
% 30.87/21.15 tff(f_62, axiom, (![A_2, B_6]: ((((((((((((~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(B_6))))) | ~E(0, f(suc(suc(A_2))))) | ~E(f(A_2), f(suc(suc(A_2))))) | ~E(0, f(A_2))) | ~iLEQ(suc(A_2), suc(B_6))) | ~E(0, f(suc(suc(suc(B_6)))))) | ~E(0, f(suc(suc(suc(A_2)))))) | ~E(0, f(B_6))) | ~E(f(B_6), f(suc(suc(B_6))))) | ~E(f(A_2), f(suc(A_2)))) | ~E(f(B_6), f(suc(B_6)))) | ~E(0, f(suc(B_6))))), file('unknown', unknown)).
% 30.87/21.15 tff(c_22, plain, (![A_14]: (LE(f(A_14), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_202])).
% 30.87/21.15 tff(c_36, plain, (![B_2_26]: (LE(f(B_2_26), s(0)) | E(s(0), f(B_2_26)) | ~LE(f(B_2_26), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_378])).
% 30.87/21.15 tff(c_70, plain, (![B_2_26]: (LE(f(B_2_26), s(0)) | E(s(0), f(B_2_26)))), inference(demodulation, [status(thm), theory('equality')], [c_22, c_36])).
% 30.87/21.15 tff(c_82, plain, (![B_5_57]: (LE(f(B_5_57), 0) | E(0, f(B_5_57)) | ~LE(f(B_5_57), s(0)))), inference(cnfTransformation, [status(thm)], [f_592])).
% 30.87/21.15 tff(c_86, plain, (![B_2_26]: (LE(f(B_2_26), 0) | E(0, f(B_2_26)) | E(s(0), f(B_2_26)))), inference(resolution, [status(thm)], [c_70, c_82])).
% 30.87/21.15 tff(c_6, plain, (![B_2_4]: (LE(f(B_2_4), s(0)) | E(s(0), f(suc(B_2_4))) | ~LE(f(suc(B_2_4)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_76])).
% 30.87/21.15 tff(c_74, plain, (![B_2_4]: (LE(f(B_2_4), s(0)) | E(s(0), f(suc(B_2_4))))), inference(demodulation, [status(thm), theory('equality')], [c_22, c_6])).
% 30.87/21.15 tff(c_107, plain, (![A_1_66]: (iLEQ(suc(A_1_66), suc(A_1_66)) | E(f(A_1_66), f(suc(A_1_66))) | ~E(s(0), f(suc(A_1_66))) | ~E(s(0), f(A_1_66)))), inference(cnfTransformation, [status(thm)], [f_86])).
% 30.87/21.15 tff(c_129, plain, (![B_2_4]: (iLEQ(suc(B_2_4), suc(B_2_4)) | E(f(B_2_4), f(suc(B_2_4))) | ~E(s(0), f(B_2_4)) | LE(f(B_2_4), s(0)))), inference(resolution, [status(thm)], [c_74, c_107])).
% 30.87/21.15 tff(c_56, plain, (![B_2_42]: (LE(f(B_2_42), s(0)) | E(s(0), f(suc(suc(B_2_42)))) | ~LE(f(suc(suc(B_2_42))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_599])).
% 30.87/21.15 tff(c_72, plain, (![B_2_42]: (LE(f(B_2_42), s(0)) | E(s(0), f(suc(suc(B_2_42)))))), inference(demodulation, [status(thm), theory('equality')], [c_22, c_56])).
% 30.87/21.15 tff(c_138, plain, (![A_1_76]: (iLEQ(suc(A_1_76), suc(A_1_76)) | E(f(A_1_76), f(suc(suc(A_1_76)))) | ~E(s(0), f(A_1_76)) | ~E(f(A_1_76), f(suc(A_1_76))) | ~E(s(0), f(suc(A_1_76))) | ~E(s(0), f(suc(suc(A_1_76)))))), inference(cnfTransformation, [status(thm)], [f_585])).
% 30.87/21.15 tff(c_161, plain, (![B_2_42]: (iLEQ(suc(B_2_42), suc(B_2_42)) | E(f(B_2_42), f(suc(suc(B_2_42)))) | ~E(s(0), f(B_2_42)) | ~E(f(B_2_42), f(suc(B_2_42))) | ~E(s(0), f(suc(B_2_42))) | LE(f(B_2_42), s(0)))), inference(resolution, [status(thm)], [c_72, c_138])).
% 30.87/21.15 tff(c_4, plain, (![B_2_3]: (LE(f(B_2_3), s(0)) | E(s(0), f(suc(suc(suc(B_2_3))))) | ~LE(f(suc(suc(suc(B_2_3)))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_69])).
% 30.87/21.15 tff(c_76, plain, (![B_2_3]: (LE(f(B_2_3), s(0)) | E(s(0), f(suc(suc(suc(B_2_3))))))), inference(demodulation, [status(thm), theory('equality')], [c_22, c_4])).
% 30.87/21.15 tff(c_229, plain, (![A_1_90]: (iLEQ(suc(A_1_90), suc(A_1_90)) | ~E(s(0), f(suc(suc(suc(A_1_90))))) | ~E(f(A_1_90), f(suc(A_1_90))) | ~E(f(A_1_90), f(suc(suc(A_1_90)))) | ~E(s(0), f(suc(A_1_90))) | ~E(s(0), f(A_1_90)) | ~E(s(0), f(suc(suc(A_1_90)))))), inference(cnfTransformation, [status(thm)], [f_709])).
% 30.87/21.15 tff(c_256, plain, (![B_2_91]: (iLEQ(suc(B_2_91), suc(B_2_91)) | ~E(f(B_2_91), f(suc(B_2_91))) | ~E(f(B_2_91), f(suc(suc(B_2_91)))) | ~E(s(0), f(suc(B_2_91))) | ~E(s(0), f(B_2_91)) | ~E(s(0), f(suc(suc(B_2_91)))) | LE(f(B_2_91), s(0)))), inference(resolution, [status(thm)], [c_76, c_229])).
% 30.87/21.15 tff(c_272, plain, (![B_2_92]: (~E(s(0), f(suc(suc(B_2_92)))) | iLEQ(suc(B_2_92), suc(B_2_92)) | ~E(s(0), f(B_2_92)) | ~E(f(B_2_92), f(suc(B_2_92))) | ~E(s(0), f(suc(B_2_92))) | LE(f(B_2_92), s(0)))), inference(resolution, [status(thm)], [c_161, c_256])).
% 30.87/21.15 tff(c_297, plain, (![B_2_93]: (iLEQ(suc(B_2_93), suc(B_2_93)) | ~E(s(0), f(B_2_93)) | ~E(f(B_2_93), f(suc(B_2_93))) | ~E(s(0), f(suc(B_2_93))) | LE(f(B_2_93), s(0)))), inference(resolution, [status(thm)], [c_72, c_272])).
% 30.87/21.15 tff(c_323, plain, (![B_2_96]: (~E(s(0), f(suc(B_2_96))) | iLEQ(suc(B_2_96), suc(B_2_96)) | ~E(s(0), f(B_2_96)) | LE(f(B_2_96), s(0)))), inference(resolution, [status(thm)], [c_129, c_297])).
% 30.87/21.15 tff(c_346, plain, (![B_2_97]: (iLEQ(suc(B_2_97), suc(B_2_97)) | ~E(s(0), f(B_2_97)) | LE(f(B_2_97), s(0)))), inference(resolution, [status(thm)], [c_74, c_323])).
% 30.87/21.15 tff(c_163, plain, (![B_3_77, A_1_78]: (E(f(B_3_77), f(suc(B_3_77))) | E(f(A_1_78), f(suc(A_1_78))) | ~E(s(0), f(B_3_77)) | ~E(s(0), f(suc(B_3_77))) | ~E(s(0), f(suc(A_1_78))) | ~E(s(0), f(A_1_78)) | ~iLEQ(suc(A_1_78), suc(B_3_77)))), inference(cnfTransformation, [status(thm)], [f_221])).
% 30.87/21.15 tff(c_203, plain, (![B_2_84, A_1_85]: (E(f(B_2_84), f(suc(B_2_84))) | E(f(A_1_85), f(suc(A_1_85))) | ~E(s(0), f(B_2_84)) | ~E(s(0), f(suc(A_1_85))) | ~E(s(0), f(A_1_85)) | ~iLEQ(suc(A_1_85), suc(B_2_84)) | LE(f(B_2_84), s(0)))), inference(resolution, [status(thm)], [c_74, c_163])).
% 30.87/21.15 tff(c_225, plain, (![B_2_84, B_2_4]: (E(f(B_2_84), f(suc(B_2_84))) | E(f(B_2_4), f(suc(B_2_4))) | ~E(s(0), f(B_2_84)) | ~E(s(0), f(B_2_4)) | ~iLEQ(suc(B_2_4), suc(B_2_84)) | LE(f(B_2_84), s(0)) | LE(f(B_2_4), s(0)))), inference(resolution, [status(thm)], [c_74, c_203])).
% 30.87/21.15 tff(c_354, plain, (![B_2_97]: (E(f(B_2_97), f(suc(B_2_97))) | ~E(s(0), f(B_2_97)) | LE(f(B_2_97), s(0)))), inference(resolution, [status(thm)], [c_346, c_225])).
% 30.87/21.15 tff(c_345, plain, (![B_2_4]: (iLEQ(suc(B_2_4), suc(B_2_4)) | ~E(s(0), f(B_2_4)) | LE(f(B_2_4), s(0)))), inference(resolution, [status(thm)], [c_74, c_323])).
% 30.87/21.15 tff(c_645, plain, (![B_3_124, A_1_125]: (E(f(B_3_124), f(suc(suc(B_3_124)))) | E(f(A_1_125), f(suc(suc(A_1_125)))) | ~E(f(A_1_125), f(suc(A_1_125))) | ~E(f(B_3_124), f(suc(B_3_124))) | ~E(s(0), f(B_3_124)) | ~E(s(0), f(suc(B_3_124))) | ~E(s(0), f(suc(A_1_125))) | ~E(s(0), f(suc(suc(B_3_124)))) | ~E(s(0), f(A_1_125)) | ~E(s(0), f(suc(suc(A_1_125)))) | ~iLEQ(suc(A_1_125), suc(B_3_124)))), inference(cnfTransformation, [status(thm)], [f_351])).
% 30.87/21.15 tff(c_2596, plain, (![B_2_227, A_1_228]: (E(f(B_2_227), f(suc(suc(B_2_227)))) | E(f(A_1_228), f(suc(suc(A_1_228)))) | ~E(f(A_1_228), f(suc(A_1_228))) | ~E(f(B_2_227), f(suc(B_2_227))) | ~E(s(0), f(B_2_227)) | ~E(s(0), f(suc(B_2_227))) | ~E(s(0), f(suc(A_1_228))) | ~E(s(0), f(A_1_228)) | ~E(s(0), f(suc(suc(A_1_228)))) | ~iLEQ(suc(A_1_228), suc(B_2_227)) | LE(f(B_2_227), s(0)))), inference(resolution, [status(thm)], [c_72, c_645])).
% 30.87/21.15 tff(c_8848, plain, (![B_2_381, B_2_382]: (E(f(B_2_381), f(suc(suc(B_2_381)))) | E(f(B_2_382), f(suc(suc(B_2_382)))) | ~E(f(B_2_382), f(suc(B_2_382))) | ~E(f(B_2_381), f(suc(B_2_381))) | ~E(s(0), f(B_2_381)) | ~E(s(0), f(suc(B_2_381))) | ~E(s(0), f(suc(B_2_382))) | ~E(s(0), f(B_2_382)) | ~iLEQ(suc(B_2_382), suc(B_2_381)) | LE(f(B_2_381), s(0)) | LE(f(B_2_382), s(0)))), inference(resolution, [status(thm)], [c_72, c_2596])).
% 30.87/21.15 tff(c_8953, plain, (![B_2_4]: (E(f(B_2_4), f(suc(suc(B_2_4)))) | ~E(f(B_2_4), f(suc(B_2_4))) | ~E(s(0), f(suc(B_2_4))) | ~E(s(0), f(B_2_4)) | LE(f(B_2_4), s(0)))), inference(resolution, [status(thm)], [c_345, c_8848])).
% 30.87/21.15 tff(c_8954, plain, (![B_2_383]: (E(f(B_2_383), f(suc(suc(B_2_383)))) | ~E(f(B_2_383), f(suc(B_2_383))) | ~E(s(0), f(suc(B_2_383))) | ~E(s(0), f(B_2_383)) | LE(f(B_2_383), s(0)))), inference(resolution, [status(thm)], [c_345, c_8848])).
% 30.87/21.15 tff(c_28, plain, (![B_3_20, A_1_19]: (~E(f(B_3_20), f(suc(suc(B_3_20)))) | ~E(s(0), f(suc(suc(suc(A_1_19))))) | ~E(f(A_1_19), f(suc(A_1_19))) | ~E(f(B_3_20), f(suc(B_3_20))) | ~E(f(A_1_19), f(suc(suc(A_1_19)))) | ~E(s(0), f(B_3_20)) | ~E(s(0), f(suc(B_3_20))) | ~E(s(0), f(suc(suc(suc(B_3_20))))) | ~E(s(0), f(suc(A_1_19))) | ~E(s(0), f(suc(suc(B_3_20)))) | ~E(s(0), f(A_1_19)) | ~E(s(0), f(suc(suc(A_1_19)))) | ~iLEQ(suc(A_1_19), suc(B_3_20)))), inference(cnfTransformation, [status(thm)], [f_285])).
% 30.87/21.15 tff(c_27564, plain, (![A_1_793, B_2_794]: (~E(s(0), f(suc(suc(suc(A_1_793))))) | ~E(f(A_1_793), f(suc(A_1_793))) | ~E(f(A_1_793), f(suc(suc(A_1_793)))) | ~E(s(0), f(suc(suc(suc(B_2_794))))) | ~E(s(0), f(suc(A_1_793))) | ~E(s(0), f(suc(suc(B_2_794)))) | ~E(s(0), f(A_1_793)) | ~E(s(0), f(suc(suc(A_1_793)))) | ~iLEQ(suc(A_1_793), suc(B_2_794)) | ~E(f(B_2_794), f(suc(B_2_794))) | ~E(s(0), f(suc(B_2_794))) | ~E(s(0), f(B_2_794)) | LE(f(B_2_794), s(0)))), inference(resolution, [status(thm)], [c_8954, c_28])).
% 30.87/21.15 tff(c_41802, plain, (![B_2_1095, B_2_1096]: (~E(f(B_2_1095), f(suc(B_2_1095))) | ~E(f(B_2_1095), f(suc(suc(B_2_1095)))) | ~E(s(0), f(suc(suc(suc(B_2_1096))))) | ~E(s(0), f(suc(B_2_1095))) | ~E(s(0), f(suc(suc(B_2_1096)))) | ~E(s(0), f(B_2_1095)) | ~E(s(0), f(suc(suc(B_2_1095)))) | ~iLEQ(suc(B_2_1095), suc(B_2_1096)) | ~E(f(B_2_1096), f(suc(B_2_1096))) | ~E(s(0), f(suc(B_2_1096))) | ~E(s(0), f(B_2_1096)) | LE(f(B_2_1096), s(0)) | LE(f(B_2_1095), s(0)))), inference(resolution, [status(thm)], [c_76, c_27564])).
% 30.87/21.15 tff(c_41941, plain, (![B_2_1097, B_2_1098]: (~E(s(0), f(suc(suc(suc(B_2_1097))))) | ~E(s(0), f(suc(suc(B_2_1097)))) | ~E(s(0), f(suc(suc(B_2_1098)))) | ~iLEQ(suc(B_2_1098), suc(B_2_1097)) | ~E(f(B_2_1097), f(suc(B_2_1097))) | ~E(s(0), f(suc(B_2_1097))) | ~E(s(0), f(B_2_1097)) | LE(f(B_2_1097), s(0)) | ~E(f(B_2_1098), f(suc(B_2_1098))) | ~E(s(0), f(suc(B_2_1098))) | ~E(s(0), f(B_2_1098)) | LE(f(B_2_1098), s(0)))), inference(resolution, [status(thm)], [c_8953, c_41802])).
% 30.87/21.15 tff(c_41968, plain, (![B_2_1099, B_2_1100]: (~E(s(0), f(suc(suc(B_2_1099)))) | ~E(s(0), f(suc(suc(B_2_1100)))) | ~iLEQ(suc(B_2_1100), suc(B_2_1099)) | ~E(f(B_2_1099), f(suc(B_2_1099))) | ~E(s(0), f(suc(B_2_1099))) | ~E(s(0), f(B_2_1099)) | ~E(f(B_2_1100), f(suc(B_2_1100))) | ~E(s(0), f(suc(B_2_1100))) | ~E(s(0), f(B_2_1100)) | LE(f(B_2_1100), s(0)) | LE(f(B_2_1099), s(0)))), inference(resolution, [status(thm)], [c_76, c_41941])).
% 30.87/21.15 tff(c_41993, plain, (![B_2_1101, B_2_1102]: (~E(s(0), f(suc(suc(B_2_1101)))) | ~iLEQ(suc(B_2_1101), suc(B_2_1102)) | ~E(f(B_2_1102), f(suc(B_2_1102))) | ~E(s(0), f(suc(B_2_1102))) | ~E(s(0), f(B_2_1102)) | ~E(f(B_2_1101), f(suc(B_2_1101))) | ~E(s(0), f(suc(B_2_1101))) | ~E(s(0), f(B_2_1101)) | LE(f(B_2_1101), s(0)) | LE(f(B_2_1102), s(0)))), inference(resolution, [status(thm)], [c_72, c_41968])).
% 30.87/21.15 tff(c_42157, plain, (![B_2_1105, B_2_1106]: (~iLEQ(suc(B_2_1105), suc(B_2_1106)) | ~E(f(B_2_1106), f(suc(B_2_1106))) | ~E(s(0), f(suc(B_2_1106))) | ~E(s(0), f(B_2_1106)) | ~E(f(B_2_1105), f(suc(B_2_1105))) | ~E(s(0), f(suc(B_2_1105))) | ~E(s(0), f(B_2_1105)) | LE(f(B_2_1106), s(0)) | LE(f(B_2_1105), s(0)))), inference(resolution, [status(thm)], [c_72, c_41993])).
% 30.87/21.15 tff(c_42284, plain, (![B_2_1107]: (~E(f(B_2_1107), f(suc(B_2_1107))) | ~E(s(0), f(suc(B_2_1107))) | ~E(s(0), f(B_2_1107)) | LE(f(B_2_1107), s(0)))), inference(resolution, [status(thm)], [c_345, c_42157])).
% 30.87/21.15 tff(c_42417, plain, (![B_2_1108]: (~E(s(0), f(suc(B_2_1108))) | ~E(s(0), f(B_2_1108)) | LE(f(B_2_1108), s(0)))), inference(resolution, [status(thm)], [c_354, c_42284])).
% 30.87/21.15 tff(c_42475, plain, (![B_2_1111]: (~E(s(0), f(B_2_1111)) | LE(f(B_2_1111), s(0)))), inference(resolution, [status(thm)], [c_74, c_42417])).
% 30.87/21.15 tff(c_54, plain, (![B_5_41]: (LE(f(B_5_41), 0) | E(0, f(B_5_41)) | ~LE(f(B_5_41), s(0)))), inference(cnfTransformation, [status(thm)], [f_592])).
% 30.87/21.15 tff(c_42492, plain, (![B_2_1112]: (LE(f(B_2_1112), 0) | E(0, f(B_2_1112)) | ~E(s(0), f(B_2_1112)))), inference(resolution, [status(thm)], [c_42475, c_54])).
% 30.87/21.15 tff(c_42521, plain, (![B_2_1113]: (LE(f(B_2_1113), 0) | E(0, f(B_2_1113)))), inference(resolution, [status(thm)], [c_86, c_42492])).
% 30.87/21.15 tff(c_16, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_153])).
% 30.87/21.15 tff(c_42525, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_42521, c_16])).
% 30.87/21.15 tff(c_88, plain, (![B_5_59]: (LE(f(B_5_59), 0) | E(0, f(suc(B_5_59))) | ~LE(f(suc(B_5_59)), s(0)))), inference(cnfTransformation, [status(thm)], [f_650])).
% 30.87/21.15 tff(c_92, plain, (![B_5_59]: (LE(f(B_5_59), 0) | E(0, f(suc(B_5_59))) | E(s(0), f(suc(B_5_59))))), inference(resolution, [status(thm)], [c_70, c_88])).
% 30.87/21.15 tff(c_62, plain, (![B_5_47]: (LE(f(B_5_47), 0) | E(0, f(suc(B_5_47))) | ~LE(f(suc(B_5_47)), s(0)))), inference(cnfTransformation, [status(thm)], [f_650])).
% 30.87/21.15 tff(c_42526, plain, (![B_5_1114]: (LE(f(B_5_1114), 0) | E(0, f(suc(B_5_1114))) | ~E(s(0), f(suc(B_5_1114))))), inference(resolution, [status(thm)], [c_42475, c_62])).
% 30.87/21.15 tff(c_42547, plain, (![B_5_59]: (LE(f(B_5_59), 0) | E(0, f(suc(B_5_59))))), inference(resolution, [status(thm)], [c_92, c_42526])).
% 30.87/21.15 tff(c_93, plain, (![B_5_60]: (LE(f(B_5_60), 0) | E(0, f(suc(suc(B_5_60)))) | ~LE(f(suc(suc(B_5_60))), s(0)))), inference(cnfTransformation, [status(thm)], [f_151])).
% 30.87/21.15 tff(c_97, plain, (![B_5_60]: (LE(f(B_5_60), 0) | E(0, f(suc(suc(B_5_60)))) | E(s(0), f(suc(suc(B_5_60)))))), inference(resolution, [status(thm)], [c_70, c_93])).
% 30.87/21.15 tff(c_14, plain, (![B_5_10]: (LE(f(B_5_10), 0) | E(0, f(suc(suc(B_5_10)))) | ~LE(f(suc(suc(B_5_10))), s(0)))), inference(cnfTransformation, [status(thm)], [f_151])).
% 30.87/21.15 tff(c_42556, plain, (![B_5_1116]: (LE(f(B_5_1116), 0) | E(0, f(suc(suc(B_5_1116)))) | ~E(s(0), f(suc(suc(B_5_1116)))))), inference(resolution, [status(thm)], [c_42475, c_14])).
% 30.87/21.15 tff(c_42573, plain, (![B_5_60]: (LE(f(B_5_60), 0) | E(0, f(suc(suc(B_5_60)))))), inference(resolution, [status(thm)], [c_97, c_42556])).
% 30.87/21.15 tff(c_66, plain, (![A_2_50]: (iLEQ(suc(A_2_50), suc(A_2_50)) | E(f(A_2_50), f(suc(A_2_50))) | ~E(0, f(suc(A_2_50))) | ~E(0, f(A_2_50)))), inference(cnfTransformation, [status(thm)], [f_689])).
% 30.87/21.15 tff(c_100, plain, (![B_5_63]: (LE(f(B_5_63), 0) | E(0, f(suc(suc(suc(B_5_63))))) | ~LE(f(suc(suc(suc(B_5_63)))), s(0)))), inference(cnfTransformation, [status(thm)], [f_445])).
% 30.87/21.15 tff(c_104, plain, (![B_5_63]: (LE(f(B_5_63), 0) | E(0, f(suc(suc(suc(B_5_63))))) | E(s(0), f(suc(suc(suc(B_5_63))))))), inference(resolution, [status(thm)], [c_70, c_100])).
% 30.87/21.15 tff(c_42, plain, (![B_5_31]: (LE(f(B_5_31), 0) | E(0, f(suc(suc(suc(B_5_31))))) | ~LE(f(suc(suc(suc(B_5_31)))), s(0)))), inference(cnfTransformation, [status(thm)], [f_445])).
% 30.87/21.15 tff(c_42597, plain, (![B_5_1120]: (LE(f(B_5_1120), 0) | E(0, f(suc(suc(suc(B_5_1120))))) | ~E(s(0), f(suc(suc(suc(B_5_1120))))))), inference(resolution, [status(thm)], [c_42475, c_42])).
% 30.87/21.15 tff(c_42614, plain, (![B_5_1121]: (LE(f(B_5_1121), 0) | E(0, f(suc(suc(suc(B_5_1121))))))), inference(resolution, [status(thm)], [c_104, c_42597])).
% 30.87/21.15 tff(c_20, plain, (![A_2_13]: (iLEQ(suc(A_2_13), suc(A_2_13)) | E(f(A_2_13), f(suc(suc(A_2_13)))) | ~E(0, f(A_2_13)) | ~E(f(A_2_13), f(suc(A_2_13))) | ~E(0, f(suc(A_2_13))) | ~E(0, f(suc(suc(A_2_13)))))), inference(cnfTransformation, [status(thm)], [f_200])).
% 30.87/21.15 tff(c_189, plain, (![A_2_82]: (iLEQ(suc(A_2_82), suc(A_2_82)) | ~E(f(A_2_82), f(suc(A_2_82))) | ~E(0, f(suc(suc(suc(A_2_82))))) | ~E(0, f(A_2_82)) | ~E(f(A_2_82), f(suc(suc(A_2_82)))) | ~E(0, f(suc(suc(A_2_82)))) | ~E(0, f(suc(A_2_82))))), inference(cnfTransformation, [status(thm)], [f_371])).
% 30.87/21.15 tff(c_201, plain, (![A_2_13]: (~E(0, f(suc(suc(suc(A_2_13))))) | iLEQ(suc(A_2_13), suc(A_2_13)) | ~E(0, f(A_2_13)) | ~E(f(A_2_13), f(suc(A_2_13))) | ~E(0, f(suc(A_2_13))) | ~E(0, f(suc(suc(A_2_13)))))), inference(resolution, [status(thm)], [c_20, c_189])).
% 30.87/21.15 tff(c_42618, plain, (![B_5_1122]: (iLEQ(suc(B_5_1122), suc(B_5_1122)) | ~E(0, f(B_5_1122)) | ~E(f(B_5_1122), f(suc(B_5_1122))) | ~E(0, f(suc(B_5_1122))) | ~E(0, f(suc(suc(B_5_1122)))) | LE(f(B_5_1122), 0))), inference(resolution, [status(thm)], [c_42614, c_201])).
% 30.87/21.15 tff(c_42643, plain, (![A_2_1123]: (~E(0, f(suc(suc(A_2_1123)))) | LE(f(A_2_1123), 0) | iLEQ(suc(A_2_1123), suc(A_2_1123)) | ~E(0, f(suc(A_2_1123))) | ~E(0, f(A_2_1123)))), inference(resolution, [status(thm)], [c_66, c_42618])).
% 30.87/21.15 tff(c_42654, plain, (![B_5_1124]: (iLEQ(suc(B_5_1124), suc(B_5_1124)) | ~E(0, f(suc(B_5_1124))) | ~E(0, f(B_5_1124)) | LE(f(B_5_1124), 0))), inference(resolution, [status(thm)], [c_42573, c_42643])).
% 30.87/21.15 tff(c_58, plain, (![B_6_44, A_2_43]: (E(f(B_6_44), f(suc(B_6_44))) | E(f(A_2_43), f(suc(A_2_43))) | ~E(0, f(suc(B_6_44))) | ~E(0, f(B_6_44)) | ~iLEQ(suc(A_2_43), suc(B_6_44)) | ~E(0, f(A_2_43)) | ~E(0, f(suc(A_2_43))))), inference(cnfTransformation, [status(thm)], [f_618])).
% 30.87/21.15 tff(c_42712, plain, (![B_5_1124]: (E(f(B_5_1124), f(suc(B_5_1124))) | ~E(0, f(suc(B_5_1124))) | ~E(0, f(B_5_1124)) | LE(f(B_5_1124), 0))), inference(resolution, [status(thm)], [c_42654, c_58])).
% 30.87/21.15 tff(c_42610, plain, (![B_5_63]: (LE(f(B_5_63), 0) | E(0, f(suc(suc(suc(B_5_63))))))), inference(resolution, [status(thm)], [c_104, c_42597])).
% 30.87/21.15 tff(c_18, plain, (![B_6_12, A_2_11]: (E(f(B_6_12), f(suc(suc(B_6_12)))) | E(f(A_2_11), f(suc(suc(A_2_11)))) | ~E(0, f(suc(B_6_12))) | ~E(f(B_6_12), f(suc(B_6_12))) | ~E(f(A_2_11), f(suc(A_2_11))) | ~E(0, f(B_6_12)) | ~iLEQ(suc(A_2_11), suc(B_6_12)) | ~E(0, f(A_2_11)) | ~E(0, f(suc(suc(A_2_11)))) | ~E(0, f(suc(suc(B_6_12)))) | ~E(0, f(suc(A_2_11))))), inference(cnfTransformation, [status(thm)], [f_184])).
% 30.87/21.15 tff(c_42708, plain, (![B_5_1124]: (E(f(B_5_1124), f(suc(suc(B_5_1124)))) | ~E(f(B_5_1124), f(suc(B_5_1124))) | ~E(0, f(suc(suc(B_5_1124)))) | ~E(0, f(suc(B_5_1124))) | ~E(0, f(B_5_1124)) | LE(f(B_5_1124), 0))), inference(resolution, [status(thm)], [c_42654, c_18])).
% 30.87/21.15 tff(c_42652, plain, (![B_5_60]: (iLEQ(suc(B_5_60), suc(B_5_60)) | ~E(0, f(suc(B_5_60))) | ~E(0, f(B_5_60)) | LE(f(B_5_60), 0))), inference(resolution, [status(thm)], [c_42573, c_42643])).
% 30.87/21.15 tff(c_42714, plain, (![B_5_1126]: (E(f(B_5_1126), f(suc(suc(B_5_1126)))) | ~E(f(B_5_1126), f(suc(B_5_1126))) | ~E(0, f(suc(suc(B_5_1126)))) | ~E(0, f(suc(B_5_1126))) | ~E(0, f(B_5_1126)) | LE(f(B_5_1126), 0))), inference(resolution, [status(thm)], [c_42654, c_18])).
% 30.87/21.15 tff(c_2, plain, (![B_6_2, A_2_1]: (~E(0, f(suc(B_6_2))) | ~E(f(B_6_2), f(suc(B_6_2))) | ~E(f(A_2_1), f(suc(A_2_1))) | ~E(f(B_6_2), f(suc(suc(B_6_2)))) | ~E(0, f(B_6_2)) | ~E(0, f(suc(suc(suc(A_2_1))))) | ~E(0, f(suc(suc(suc(B_6_2))))) | ~iLEQ(suc(A_2_1), suc(B_6_2)) | ~E(0, f(A_2_1)) | ~E(f(A_2_1), f(suc(suc(A_2_1)))) | ~E(0, f(suc(suc(A_2_1)))) | ~E(0, f(suc(suc(B_6_2)))) | ~E(0, f(suc(A_2_1))))), inference(cnfTransformation, [status(thm)], [f_62])).
% 30.87/21.15 tff(c_43149, plain, (![A_2_1156, B_5_1157]: (~E(f(A_2_1156), f(suc(A_2_1156))) | ~E(0, f(suc(suc(suc(A_2_1156))))) | ~E(0, f(suc(suc(suc(B_5_1157))))) | ~iLEQ(suc(A_2_1156), suc(B_5_1157)) | ~E(0, f(A_2_1156)) | ~E(f(A_2_1156), f(suc(suc(A_2_1156)))) | ~E(0, f(suc(suc(A_2_1156)))) | ~E(0, f(suc(A_2_1156))) | ~E(f(B_5_1157), f(suc(B_5_1157))) | ~E(0, f(suc(suc(B_5_1157)))) | ~E(0, f(suc(B_5_1157))) | ~E(0, f(B_5_1157)) | LE(f(B_5_1157), 0))), inference(resolution, [status(thm)], [c_42714, c_2])).
% 30.87/21.15 tff(c_43307, plain, (![A_2_1176, B_5_1177]: (~E(f(A_2_1176), f(suc(A_2_1176))) | ~E(0, f(suc(suc(suc(A_2_1176))))) | ~iLEQ(suc(A_2_1176), suc(B_5_1177)) | ~E(0, f(A_2_1176)) | ~E(f(A_2_1176), f(suc(suc(A_2_1176)))) | ~E(0, f(suc(suc(A_2_1176)))) | ~E(0, f(suc(A_2_1176))) | ~E(f(B_5_1177), f(suc(B_5_1177))) | ~E(0, f(suc(suc(B_5_1177)))) | ~E(0, f(suc(B_5_1177))) | ~E(0, f(B_5_1177)) | LE(f(B_5_1177), 0))), inference(resolution, [status(thm)], [c_42610, c_43149])).
% 30.87/21.15 tff(c_43323, plain, (![B_5_1178]: (~E(0, f(suc(suc(suc(B_5_1178))))) | ~E(f(B_5_1178), f(suc(suc(B_5_1178)))) | ~E(f(B_5_1178), f(suc(B_5_1178))) | ~E(0, f(suc(suc(B_5_1178)))) | ~E(0, f(suc(B_5_1178))) | ~E(0, f(B_5_1178)) | LE(f(B_5_1178), 0))), inference(resolution, [status(thm)], [c_42652, c_43307])).
% 30.87/21.15 tff(c_43365, plain, (![B_5_1181]: (~E(0, f(suc(suc(suc(B_5_1181))))) | ~E(f(B_5_1181), f(suc(B_5_1181))) | ~E(0, f(suc(suc(B_5_1181)))) | ~E(0, f(suc(B_5_1181))) | ~E(0, f(B_5_1181)) | LE(f(B_5_1181), 0))), inference(resolution, [status(thm)], [c_42708, c_43323])).
% 30.87/21.15 tff(c_43377, plain, (![B_5_1182]: (~E(f(B_5_1182), f(suc(B_5_1182))) | ~E(0, f(suc(suc(B_5_1182)))) | ~E(0, f(suc(B_5_1182))) | ~E(0, f(B_5_1182)) | LE(f(B_5_1182), 0))), inference(resolution, [status(thm)], [c_42610, c_43365])).
% 30.87/21.15 tff(c_43402, plain, (![B_5_1183]: (~E(0, f(suc(suc(B_5_1183)))) | ~E(0, f(suc(B_5_1183))) | ~E(0, f(B_5_1183)) | LE(f(B_5_1183), 0))), inference(resolution, [status(thm)], [c_42712, c_43377])).
% 30.87/21.15 tff(c_43415, plain, (![B_5_1184]: (~E(0, f(suc(B_5_1184))) | ~E(0, f(B_5_1184)) | LE(f(B_5_1184), 0))), inference(resolution, [status(thm)], [c_42573, c_43402])).
% 30.87/21.15 tff(c_43428, plain, (![B_5_1185]: (~E(0, f(B_5_1185)) | LE(f(B_5_1185), 0))), inference(resolution, [status(thm)], [c_42547, c_43415])).
% 30.87/21.15 tff(c_43431, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_43428, c_16])).
% 30.87/21.15 tff(c_43435, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_42525, c_43431])).
% 30.87/21.15 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.87/21.15
% 30.87/21.15 Inference rules
% 30.87/21.15 ----------------------
% 30.87/21.15 #Ref : 0
% 30.87/21.15 #Sup : 13252
% 30.87/21.15 #Fact : 0
% 30.87/21.15 #Define : 0
% 30.87/21.15 #Split : 0
% 30.87/21.15 #Chain : 0
% 30.87/21.15 #Close : 0
% 30.87/21.15
% 30.87/21.15 Ordering : KBO
% 30.87/21.15
% 30.87/21.15 Simplification rules
% 30.87/21.15 ----------------------
% 30.87/21.15 #Subsume : 11347
% 30.87/21.15 #Demod : 5
% 30.87/21.15 #Tautology : 423
% 30.87/21.15 #SimpNegUnit : 0
% 30.87/21.15 #BackRed : 0
% 30.87/21.15
% 30.87/21.15 #Partial instantiations: 0
% 30.87/21.15 #Strategies tried : 1
% 30.87/21.15
% 30.87/21.15 Timing (in seconds)
% 30.87/21.15 ----------------------
% 30.87/21.16 Preprocessing : 0.67
% 30.87/21.16 Parsing : 0.38
% 30.87/21.16 CNF conversion : 0.04
% 30.87/21.16 Main loop : 19.29
% 30.87/21.16 Inferencing : 2.12
% 30.87/21.16 Reduction : 2.38
% 30.87/21.16 Demodulation : 1.45
% 30.87/21.16 BG Simplification : 0.09
% 30.87/21.16 Subsumption : 14.34
% 30.87/21.16 Abstraction : 0.28
% 30.87/21.16 MUC search : 0.00
% 30.87/21.16 Cooper : 0.00
% 30.87/21.16 Total : 20.04
% 30.87/21.16 Index Insertion : 0.00
% 30.87/21.16 Index Deletion : 0.00
% 30.87/21.16 Index Matching : 0.00
% 30.87/21.16 BG Taut test : 0.00
%------------------------------------------------------------------------------