TSTP Solution File: SYO634-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 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 : n015.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 11:18:16 EDT 2023
% Result : Unsatisfiable 4.97s 2.10s
% Output : CNFRefutation 4.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.15 % 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
% 0.18/0.37 % Computer : n015.cluster.edu
% 0.18/0.37 % Model : x86_64 x86_64
% 0.18/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.37 % Memory : 8042.1875MB
% 0.18/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.37 % CPULimit : 300
% 0.18/0.37 % WCLimit : 300
% 0.18/0.37 % DateTime : Thu Aug 3 16:13:59 EDT 2023
% 0.18/0.37 % CPUTime :
% 4.97/2.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.97/2.11
% 4.97/2.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.97/2.13 %$ LEQ > E > AP > #nlpp > s > f > 0
% 4.97/2.13
% 4.97/2.13 %Foreground sorts:
% 4.97/2.13
% 4.97/2.13
% 4.97/2.13 %Background operators:
% 4.97/2.13
% 4.97/2.13
% 4.97/2.13 %Foreground operators:
% 4.97/2.13 tff(s, type, s: $i > $i).
% 4.97/2.13 tff(AP, type, AP: ($i * $i) > $i).
% 4.97/2.13 tff(f, type, f: $i > $i).
% 4.97/2.13 tff(0, type, 0: $i).
% 4.97/2.13 tff(LEQ, type, LEQ: ($i * $i) > $o).
% 4.97/2.13 tff(E, type, E: ($i * $i) > $o).
% 4.97/2.13
% 4.97/2.16 tff(f_158, axiom, (![B_0]: E(f(B_0), s(s(s(s(s(s(s(s(s(0))))))))))), file('unknown', unknown)).
% 4.97/2.16 tff(f_65, axiom, (![B]: E(f(B), s(s(s(s(s(s(s(s(s(s(0)))))))))))), file('unknown', unknown)).
% 4.97/2.16 tff(f_31, axiom, (![A_0, B_0]: ((~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | E(f(B_0), s(s(s(s(s(s(s(s(0))))))))))), file('unknown', unknown)).
% 4.97/2.16 tff(f_249, axiom, (![A_0, B_0, A_1]: (((~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | ~E(f(A_1), s(s(s(s(s(s(s(s(0)))))))))) | E(f(B_0), s(s(s(s(s(s(s(0)))))))))), file('unknown', unknown)).
% 4.97/2.16 tff(f_113, axiom, (![A_0, B_0, A_1, A_2]: ((((~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | ~E(f(A_1), s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_2), s(s(s(s(s(s(s(0))))))))) | E(f(B_0), s(s(s(s(s(s(0))))))))), file('unknown', unknown)).
% 4.97/2.16 tff(f_373, axiom, (![A_1, A_0, B_0, A_3, A_2]: (((((~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | ~E(f(A_2), s(s(s(s(s(s(s(0))))))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_3), s(s(s(s(s(s(0)))))))) | E(f(B_0), s(s(s(s(s(0)))))))), file('unknown', unknown)).
% 4.97/2.16 tff(f_319, axiom, (![A_6, A_1, A_8, A_7, A_9, A_0, B_0, A_4, A_5, A_3, A_2]: ((((((((((~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0))))))) | ~E(f(A_8), s(0))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | ~E(f(A_5), s(s(s(s(0)))))) | ~E(f(A_7), s(s(0)))) | ~E(f(A_2), s(s(s(s(s(s(s(0))))))))) | ~E(f(A_6), s(s(s(0))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_3), s(s(s(s(s(s(0)))))))) | ~E(f(A_9), 0))), file('unknown', unknown)).
% 4.97/2.16 tff(f_216, axiom, (![A_6, A_1, A_7, A_0, B_0, A_4, A_5, A_3, A_2, K]: (((((((((~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | ~E(f(A_5), s(s(s(s(0)))))) | ~E(f(A_7), s(s(0)))) | ~E(f(A_2), s(s(s(s(s(s(s(0))))))))) | ~E(f(A_6), s(s(s(0))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_3), s(s(s(s(s(s(0)))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(0)))), file('unknown', unknown)).
% 4.97/2.16 tff(f_236, axiom, (![A_1, A_0, B_0, A_4, A_3, A_2, K]: ((((((~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | ~E(f(A_2), s(s(s(s(s(s(s(0))))))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_3), s(s(s(s(s(s(0)))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0))))))), file('unknown', unknown)).
% 4.97/2.16 tff(f_356, axiom, (![A_6, A_1, A_0, B_0, A_4, A_5, A_3, A_2, K]: ((((((((~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | ~E(f(A_5), s(s(s(s(0)))))) | ~E(f(A_2), s(s(s(s(s(s(s(0))))))))) | ~E(f(A_6), s(s(s(0))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_3), s(s(s(s(s(s(0)))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(0))))), file('unknown', unknown)).
% 4.97/2.16 tff(f_272, axiom, (![A_1, A_0, B_0, A_4, A_5, A_3, A_2, K]: (((((((~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | ~E(f(A_5), s(s(s(s(0)))))) | ~E(f(A_2), s(s(s(s(s(s(s(0))))))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_3), s(s(s(s(s(s(0)))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(0)))))), file('unknown', unknown)).
% 4.97/2.16 tff(f_422, axiom, (![A_6, A_1, A_8, A_7, A_0, B_0, A_4, A_5, A_3, A_2, K]: ((((((((((~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0))))))) | ~E(f(A_8), s(0))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))) | ~E(f(A_5), s(s(s(s(0)))))) | ~E(f(A_7), s(s(0)))) | ~E(f(A_2), s(s(s(s(s(s(s(0))))))))) | ~E(f(A_6), s(s(s(0))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_3), s(s(s(s(s(s(0)))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0))), file('unknown', unknown)).
% 4.97/2.16 tff(c_18, plain, (![B_0_46]: (E(f(B_0_46), s(s(s(s(s(s(s(s(s(0)))))))))))), inference(cnfTransformation, [status(thm)], [f_158])).
% 4.97/2.16 tff(c_6, plain, (![B_14]: (E(f(B_14), s(s(s(s(s(s(s(s(s(s(0))))))))))))), inference(cnfTransformation, [status(thm)], [f_65])).
% 4.97/2.16 tff(c_2, plain, (![B_0_2, A_0_1]: (E(f(B_0_2), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(B_0_2), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_0_1), s(s(s(s(s(s(s(s(s(0)))))))))))), inference(cnfTransformation, [status(thm)], [f_31])).
% 4.97/2.16 tff(c_118, plain, (![B_0_2]: (E(f(B_0_2), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_6, c_2])).
% 4.97/2.16 tff(c_28, plain, (![B_0_77, A_1_78, A_0_76]: (E(f(B_0_77), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_1_78), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(B_0_77), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_0_76), s(s(s(s(s(s(s(s(s(0)))))))))))), inference(cnfTransformation, [status(thm)], [f_249])).
% 4.97/2.16 tff(c_52, plain, (![B_0_77, A_1_78]: (E(f(B_0_77), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_1_78), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(B_0_77), s(s(s(s(s(s(s(s(s(s(0))))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_28])).
% 4.97/2.16 tff(c_86, plain, (![B_0_77, A_1_78]: (E(f(B_0_77), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_1_78), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_52])).
% 4.97/2.16 tff(c_122, plain, (![B_0_77]: (E(f(B_0_77), s(s(s(s(s(s(s(0)))))))))), inference(demodulation, [status(thm), theory('equality')], [c_118, c_86])).
% 4.97/2.16 tff(c_12, plain, (![B_0_28, A_2_30, A_1_29, A_0_27]: (E(f(B_0_28), s(s(s(s(s(s(0))))))) | ~E(f(A_2_30), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_1_29), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(B_0_28), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_0_27), s(s(s(s(s(s(s(s(s(0)))))))))))), inference(cnfTransformation, [status(thm)], [f_113])).
% 4.97/2.16 tff(c_76, plain, (![B_0_28, A_2_30, A_1_29]: (E(f(B_0_28), s(s(s(s(s(s(0))))))) | ~E(f(A_2_30), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_1_29), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(B_0_28), s(s(s(s(s(s(s(s(s(s(0))))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_12])).
% 4.97/2.16 tff(c_112, plain, (![B_0_28, A_2_30, A_1_29]: (E(f(B_0_28), s(s(s(s(s(s(0))))))) | ~E(f(A_2_30), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_1_29), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_76])).
% 4.97/2.16 tff(c_148, plain, (![B_0_28, A_2_30]: (E(f(B_0_28), s(s(s(s(s(s(0))))))) | ~E(f(A_2_30), s(s(s(s(s(s(s(0)))))))))), inference(demodulation, [status(thm), theory('equality')], [c_118, c_112])).
% 4.97/2.16 tff(c_178, plain, (![B_0_28]: (E(f(B_0_28), s(s(s(s(s(s(0))))))))), inference(demodulation, [status(thm), theory('equality')], [c_122, c_148])).
% 4.97/2.16 tff(c_40, plain, (![A_3_119, A_1_116, B_0_118, A_2_120, A_0_117]: (E(f(B_0_118), s(s(s(s(s(0)))))) | ~E(f(A_3_119), s(s(s(s(s(s(0))))))) | ~E(f(A_0_117), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_2_120), s(s(s(s(s(s(s(0)))))))) | ~E(f(B_0_118), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_1_116), s(s(s(s(s(s(s(s(0))))))))))), inference(cnfTransformation, [status(thm)], [f_373])).
% 4.97/2.16 tff(c_50, plain, (![B_0_118, A_3_119, A_2_120, A_1_116]: (E(f(B_0_118), s(s(s(s(s(0)))))) | ~E(f(A_3_119), s(s(s(s(s(s(0))))))) | ~E(f(A_2_120), s(s(s(s(s(s(s(0)))))))) | ~E(f(B_0_118), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_1_116), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_40])).
% 4.97/2.16 tff(c_84, plain, (![B_0_118, A_3_119, A_2_120, A_1_116]: (E(f(B_0_118), s(s(s(s(s(0)))))) | ~E(f(A_3_119), s(s(s(s(s(s(0))))))) | ~E(f(A_2_120), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_1_116), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_50])).
% 4.97/2.16 tff(c_134, plain, (![B_0_118, A_3_119, A_2_120]: (E(f(B_0_118), s(s(s(s(s(0)))))) | ~E(f(A_3_119), s(s(s(s(s(s(0))))))) | ~E(f(A_2_120), s(s(s(s(s(s(s(0)))))))))), inference(demodulation, [status(thm), theory('equality')], [c_118, c_84])).
% 4.97/2.16 tff(c_164, plain, (![B_0_118, A_3_119]: (E(f(B_0_118), s(s(s(s(s(0)))))) | ~E(f(A_3_119), s(s(s(s(s(s(0))))))))), inference(demodulation, [status(thm), theory('equality')], [c_122, c_134])).
% 4.97/2.16 tff(c_188, plain, (![B_0_118]: (E(f(B_0_118), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_178, c_164])).
% 4.97/2.16 tff(c_34, plain, (![A_1_93, A_5_100, A_2_102, A_0_97, A_8_94, A_9_96, A_7_95, B_0_98, A_4_99, A_6_92, A_3_101]: (~E(f(A_9_96), 0) | ~E(f(A_3_101), s(s(s(s(s(s(0))))))) | ~E(f(A_0_97), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_6_92), s(s(s(0)))) | ~E(f(A_2_102), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_95), s(s(0))) | ~E(f(A_5_100), s(s(s(s(0))))) | ~E(f(B_0_98), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_8_94), s(0)) | ~E(f(A_4_99), s(s(s(s(s(0)))))) | ~E(f(A_1_93), s(s(s(s(s(s(s(s(0))))))))))), inference(cnfTransformation, [status(thm)], [f_319])).
% 4.97/2.16 tff(c_56, plain, (![A_1_93, A_5_100, A_2_102, A_8_94, A_9_96, A_7_95, B_0_98, A_4_99, A_6_92, A_3_101]: (~E(f(A_9_96), 0) | ~E(f(A_3_101), s(s(s(s(s(s(0))))))) | ~E(f(A_6_92), s(s(s(0)))) | ~E(f(A_2_102), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_95), s(s(0))) | ~E(f(A_5_100), s(s(s(s(0))))) | ~E(f(B_0_98), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_8_94), s(0)) | ~E(f(A_4_99), s(s(s(s(s(0)))))) | ~E(f(A_1_93), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_34])).
% 4.97/2.16 tff(c_106, plain, (![A_1_93, A_5_100, A_2_102, A_8_94, A_9_96, A_7_95, A_4_99, A_6_92, A_3_101]: (~E(f(A_9_96), 0) | ~E(f(A_3_101), s(s(s(s(s(s(0))))))) | ~E(f(A_6_92), s(s(s(0)))) | ~E(f(A_2_102), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_95), s(s(0))) | ~E(f(A_5_100), s(s(s(s(0))))) | ~E(f(A_8_94), s(0)) | ~E(f(A_4_99), s(s(s(s(s(0)))))) | ~E(f(A_1_93), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_56])).
% 4.97/2.16 tff(c_142, plain, (![A_5_100, A_2_102, A_8_94, A_9_96, A_7_95, A_4_99, A_6_92, A_3_101]: (~E(f(A_9_96), 0) | ~E(f(A_3_101), s(s(s(s(s(s(0))))))) | ~E(f(A_6_92), s(s(s(0)))) | ~E(f(A_2_102), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_95), s(s(0))) | ~E(f(A_5_100), s(s(s(s(0))))) | ~E(f(A_8_94), s(0)) | ~E(f(A_4_99), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_118, c_106])).
% 4.97/2.16 tff(c_172, plain, (![A_5_100, A_8_94, A_9_96, A_7_95, A_4_99, A_6_92, A_3_101]: (~E(f(A_9_96), 0) | ~E(f(A_3_101), s(s(s(s(s(s(0))))))) | ~E(f(A_6_92), s(s(s(0)))) | ~E(f(A_7_95), s(s(0))) | ~E(f(A_5_100), s(s(s(s(0))))) | ~E(f(A_8_94), s(0)) | ~E(f(A_4_99), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_122, c_142])).
% 4.97/2.16 tff(c_196, plain, (![A_5_100, A_8_94, A_9_96, A_7_95, A_4_99, A_6_92]: (~E(f(A_9_96), 0) | ~E(f(A_6_92), s(s(s(0)))) | ~E(f(A_7_95), s(s(0))) | ~E(f(A_5_100), s(s(s(s(0))))) | ~E(f(A_8_94), s(0)) | ~E(f(A_4_99), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_178, c_172])).
% 4.97/2.16 tff(c_222, plain, (![A_5_100, A_8_94, A_9_96, A_7_95, A_6_92]: (~E(f(A_9_96), 0) | ~E(f(A_6_92), s(s(s(0)))) | ~E(f(A_7_95), s(s(0))) | ~E(f(A_5_100), s(s(s(s(0))))) | ~E(f(A_8_94), s(0)))), inference(demodulation, [status(thm), theory('equality')], [c_188, c_196])).
% 4.97/2.16 tff(c_293, plain, (![A_8_94]: (~E(f(A_8_94), s(0)))), inference(splitLeft, [status(thm)], [c_222])).
% 4.97/2.16 tff(c_22, plain, (![A_2_65, A_3_64, A_4_62, K_66, A_5_63, A_1_58, A_0_60, A_7_59, A_6_57, B_0_61]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)) | ~E(f(A_3_64), s(s(s(s(s(s(0))))))) | ~E(f(A_0_60), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_2_65), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_59), s(s(0))) | ~E(f(A_5_63), s(s(s(s(0))))) | ~E(f(B_0_61), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_4_62), s(s(s(s(s(0)))))) | ~E(f(A_1_58), s(s(s(s(s(s(s(s(0))))))))))), inference(cnfTransformation, [status(thm)], [f_216])).
% 4.97/2.16 tff(c_68, plain, (![A_2_65, A_3_64, A_4_62, K_66, A_5_63, A_1_58, A_7_59, A_6_57, B_0_61]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)) | ~E(f(A_3_64), s(s(s(s(s(s(0))))))) | ~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_2_65), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_59), s(s(0))) | ~E(f(A_5_63), s(s(s(s(0))))) | ~E(f(B_0_61), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_4_62), s(s(s(s(s(0)))))) | ~E(f(A_1_58), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_22])).
% 4.97/2.16 tff(c_102, plain, (![A_2_65, A_3_64, A_4_62, K_66, A_5_63, A_1_58, A_7_59, A_6_57]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)) | ~E(f(A_3_64), s(s(s(s(s(s(0))))))) | ~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_2_65), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_59), s(s(0))) | ~E(f(A_5_63), s(s(s(s(0))))) | ~E(f(A_4_62), s(s(s(s(s(0)))))) | ~E(f(A_1_58), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_68])).
% 4.97/2.16 tff(c_138, plain, (![A_2_65, A_3_64, A_4_62, K_66, A_5_63, A_7_59, A_6_57]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)) | ~E(f(A_3_64), s(s(s(s(s(s(0))))))) | ~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_2_65), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_59), s(s(0))) | ~E(f(A_5_63), s(s(s(s(0))))) | ~E(f(A_4_62), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_118, c_102])).
% 4.97/2.16 tff(c_168, plain, (![A_3_64, A_4_62, K_66, A_5_63, A_7_59, A_6_57]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)) | ~E(f(A_3_64), s(s(s(s(s(s(0))))))) | ~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_7_59), s(s(0))) | ~E(f(A_5_63), s(s(s(s(0))))) | ~E(f(A_4_62), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_122, c_138])).
% 4.97/2.16 tff(c_192, plain, (![A_4_62, K_66, A_5_63, A_7_59, A_6_57]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)) | ~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_7_59), s(s(0))) | ~E(f(A_5_63), s(s(s(s(0))))) | ~E(f(A_4_62), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_178, c_168])).
% 4.97/2.16 tff(c_218, plain, (![K_66, A_6_57, A_7_59, A_5_63]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)) | ~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_7_59), s(s(0))) | ~E(f(A_5_63), s(s(s(s(0))))))), inference(demodulation, [status(thm), theory('equality')], [c_188, c_192])).
% 4.97/2.16 tff(c_318, plain, (![A_6_57, A_7_59, A_5_63]: (~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_7_59), s(s(0))) | ~E(f(A_5_63), s(s(s(s(0))))))), inference(negUnitSimplification, [status(thm)], [c_293, c_218])).
% 4.97/2.16 tff(c_319, plain, (![A_5_63]: (~E(f(A_5_63), s(s(s(s(0))))))), inference(splitLeft, [status(thm)], [c_318])).
% 4.97/2.16 tff(c_24, plain, (![A_1_67, A_3_71, K_73, A_0_68, A_2_72, A_4_70, B_0_69]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_73)), s(s(s(s(0))))) | ~E(f(A_3_71), s(s(s(s(s(s(0))))))) | ~E(f(A_0_68), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_2_72), s(s(s(s(s(s(s(0)))))))) | ~E(f(B_0_69), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_4_70), s(s(s(s(s(0)))))) | ~E(f(A_1_67), s(s(s(s(s(s(s(s(0))))))))))), inference(cnfTransformation, [status(thm)], [f_236])).
% 4.97/2.16 tff(c_66, plain, (![A_1_67, A_3_71, K_73, A_2_72, A_4_70, B_0_69]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_73)), s(s(s(s(0))))) | ~E(f(A_3_71), s(s(s(s(s(s(0))))))) | ~E(f(A_2_72), s(s(s(s(s(s(s(0)))))))) | ~E(f(B_0_69), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_4_70), s(s(s(s(s(0)))))) | ~E(f(A_1_67), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_24])).
% 4.97/2.16 tff(c_100, plain, (![A_1_67, A_3_71, K_73, A_2_72, A_4_70]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_73)), s(s(s(s(0))))) | ~E(f(A_3_71), s(s(s(s(s(s(0))))))) | ~E(f(A_2_72), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_4_70), s(s(s(s(s(0)))))) | ~E(f(A_1_67), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_66])).
% 4.97/2.16 tff(c_136, plain, (![K_73, A_3_71, A_2_72, A_4_70]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_73)), s(s(s(s(0))))) | ~E(f(A_3_71), s(s(s(s(s(s(0))))))) | ~E(f(A_2_72), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_4_70), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_118, c_100])).
% 4.97/2.16 tff(c_166, plain, (![K_73, A_3_71, A_4_70]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_73)), s(s(s(s(0))))) | ~E(f(A_3_71), s(s(s(s(s(s(0))))))) | ~E(f(A_4_70), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_122, c_136])).
% 4.97/2.16 tff(c_190, plain, (![K_73, A_4_70]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_73)), s(s(s(s(0))))) | ~E(f(A_4_70), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_178, c_166])).
% 4.97/2.16 tff(c_216, plain, (![K_73]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_73)), s(s(s(s(0))))))), inference(demodulation, [status(thm), theory('equality')], [c_188, c_190])).
% 4.97/2.16 tff(c_321, plain, $false, inference(negUnitSimplification, [status(thm)], [c_319, c_216])).
% 4.97/2.16 tff(c_322, plain, (![A_6_57, A_7_59]: (~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_7_59), s(s(0))))), inference(splitRight, [status(thm)], [c_318])).
% 4.97/2.16 tff(c_323, plain, (![A_7_59]: (~E(f(A_7_59), s(s(0))))), inference(splitLeft, [status(thm)], [c_322])).
% 4.97/2.16 tff(c_38, plain, (![A_5_112, K_115, A_2_114, A_0_109, A_6_107, A_4_111, B_0_110, A_3_113, A_1_108]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))) | ~E(f(A_3_113), s(s(s(s(s(s(0))))))) | ~E(f(A_0_109), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_6_107), s(s(s(0)))) | ~E(f(A_2_114), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_5_112), s(s(s(s(0))))) | ~E(f(B_0_110), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_4_111), s(s(s(s(s(0)))))) | ~E(f(A_1_108), s(s(s(s(s(s(s(s(0))))))))))), inference(cnfTransformation, [status(thm)], [f_356])).
% 4.97/2.16 tff(c_62, plain, (![A_5_112, K_115, A_2_114, A_6_107, A_4_111, B_0_110, A_3_113, A_1_108]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))) | ~E(f(A_3_113), s(s(s(s(s(s(0))))))) | ~E(f(A_6_107), s(s(s(0)))) | ~E(f(A_2_114), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_5_112), s(s(s(s(0))))) | ~E(f(B_0_110), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_4_111), s(s(s(s(s(0)))))) | ~E(f(A_1_108), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_38])).
% 4.97/2.16 tff(c_96, plain, (![A_5_112, K_115, A_2_114, A_6_107, A_4_111, A_3_113, A_1_108]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))) | ~E(f(A_3_113), s(s(s(s(s(s(0))))))) | ~E(f(A_6_107), s(s(s(0)))) | ~E(f(A_2_114), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_5_112), s(s(s(s(0))))) | ~E(f(A_4_111), s(s(s(s(s(0)))))) | ~E(f(A_1_108), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_62])).
% 4.97/2.16 tff(c_132, plain, (![A_5_112, K_115, A_2_114, A_6_107, A_4_111, A_3_113]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))) | ~E(f(A_3_113), s(s(s(s(s(s(0))))))) | ~E(f(A_6_107), s(s(s(0)))) | ~E(f(A_2_114), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_5_112), s(s(s(s(0))))) | ~E(f(A_4_111), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_118, c_96])).
% 4.97/2.16 tff(c_162, plain, (![A_5_112, K_115, A_6_107, A_4_111, A_3_113]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))) | ~E(f(A_3_113), s(s(s(s(s(s(0))))))) | ~E(f(A_6_107), s(s(s(0)))) | ~E(f(A_5_112), s(s(s(s(0))))) | ~E(f(A_4_111), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_122, c_132])).
% 4.97/2.16 tff(c_186, plain, (![K_115, A_6_107, A_5_112, A_4_111]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))) | ~E(f(A_6_107), s(s(s(0)))) | ~E(f(A_5_112), s(s(s(s(0))))) | ~E(f(A_4_111), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_178, c_162])).
% 4.97/2.16 tff(c_214, plain, (![K_115, A_6_107, A_5_112]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))) | ~E(f(A_6_107), s(s(s(0)))) | ~E(f(A_5_112), s(s(s(s(0))))))), inference(demodulation, [status(thm), theory('equality')], [c_188, c_186])).
% 4.97/2.16 tff(c_295, plain, (![A_5_112]: (~E(f(A_5_112), s(s(s(s(0))))))), inference(splitLeft, [status(thm)], [c_214])).
% 4.97/2.16 tff(c_297, plain, $false, inference(negUnitSimplification, [status(thm)], [c_295, c_216])).
% 4.97/2.16 tff(c_298, plain, (![A_6_107, K_115]: (~E(f(A_6_107), s(s(s(0)))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))))), inference(splitRight, [status(thm)], [c_214])).
% 4.97/2.16 tff(c_299, plain, (![A_6_107]: (~E(f(A_6_107), s(s(s(0)))))), inference(splitLeft, [status(thm)], [c_298])).
% 4.97/2.16 tff(c_30, plain, (![A_4_82, A_5_83, B_0_81, A_1_79, A_3_84, K_86, A_2_85, A_0_80]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_86)), s(s(s(0)))) | ~E(f(A_3_84), s(s(s(s(s(s(0))))))) | ~E(f(A_0_80), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_2_85), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_5_83), s(s(s(s(0))))) | ~E(f(B_0_81), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_4_82), s(s(s(s(s(0)))))) | ~E(f(A_1_79), s(s(s(s(s(s(s(s(0))))))))))), inference(cnfTransformation, [status(thm)], [f_272])).
% 4.97/2.16 tff(c_60, plain, (![A_4_82, A_5_83, B_0_81, A_1_79, A_3_84, K_86, A_2_85]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_86)), s(s(s(0)))) | ~E(f(A_3_84), s(s(s(s(s(s(0))))))) | ~E(f(A_2_85), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_5_83), s(s(s(s(0))))) | ~E(f(B_0_81), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_4_82), s(s(s(s(s(0)))))) | ~E(f(A_1_79), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_30])).
% 4.97/2.16 tff(c_94, plain, (![A_4_82, A_5_83, A_1_79, A_3_84, K_86, A_2_85]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_86)), s(s(s(0)))) | ~E(f(A_3_84), s(s(s(s(s(s(0))))))) | ~E(f(A_2_85), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_5_83), s(s(s(s(0))))) | ~E(f(A_4_82), s(s(s(s(s(0)))))) | ~E(f(A_1_79), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_60])).
% 4.97/2.16 tff(c_130, plain, (![A_4_82, A_5_83, A_3_84, K_86, A_2_85]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_86)), s(s(s(0)))) | ~E(f(A_3_84), s(s(s(s(s(s(0))))))) | ~E(f(A_2_85), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_5_83), s(s(s(s(0))))) | ~E(f(A_4_82), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_118, c_94])).
% 4.97/2.16 tff(c_160, plain, (![K_86, A_3_84, A_5_83, A_4_82]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_86)), s(s(s(0)))) | ~E(f(A_3_84), s(s(s(s(s(s(0))))))) | ~E(f(A_5_83), s(s(s(s(0))))) | ~E(f(A_4_82), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_122, c_130])).
% 4.97/2.16 tff(c_184, plain, (![K_86, A_5_83, A_4_82]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_86)), s(s(s(0)))) | ~E(f(A_5_83), s(s(s(s(0))))) | ~E(f(A_4_82), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_178, c_160])).
% 4.97/2.16 tff(c_212, plain, (![K_86, A_5_83]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_86)), s(s(s(0)))) | ~E(f(A_5_83), s(s(s(s(0))))))), inference(demodulation, [status(thm), theory('equality')], [c_188, c_184])).
% 4.97/2.16 tff(c_241, plain, (![A_5_83]: (~E(f(A_5_83), s(s(s(s(0))))))), inference(splitLeft, [status(thm)], [c_212])).
% 4.97/2.16 tff(c_243, plain, $false, inference(negUnitSimplification, [status(thm)], [c_241, c_216])).
% 4.97/2.16 tff(c_244, plain, (![K_86]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_86)), s(s(s(0)))))), inference(splitRight, [status(thm)], [c_212])).
% 4.97/2.16 tff(c_302, plain, $false, inference(negUnitSimplification, [status(thm)], [c_299, c_244])).
% 4.97/2.16 tff(c_303, plain, (![K_115]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))))), inference(splitRight, [status(thm)], [c_298])).
% 4.97/2.16 tff(c_325, plain, $false, inference(negUnitSimplification, [status(thm)], [c_323, c_303])).
% 4.97/2.16 tff(c_326, plain, (![A_6_57]: (~E(f(A_6_57), s(s(s(0)))))), inference(splitRight, [status(thm)], [c_322])).
% 4.97/2.16 tff(c_328, plain, $false, inference(negUnitSimplification, [status(thm)], [c_326, c_244])).
% 4.97/2.16 tff(c_329, plain, (![A_7_95, A_9_96, A_6_92, A_5_100]: (~E(f(A_7_95), s(s(0))) | ~E(f(A_9_96), 0) | ~E(f(A_6_92), s(s(s(0)))) | ~E(f(A_5_100), s(s(s(s(0))))))), inference(splitRight, [status(thm)], [c_222])).
% 4.97/2.16 tff(c_330, plain, (![A_5_100]: (~E(f(A_5_100), s(s(s(s(0))))))), inference(splitLeft, [status(thm)], [c_329])).
% 4.97/2.16 tff(c_332, plain, $false, inference(negUnitSimplification, [status(thm)], [c_330, c_216])).
% 4.97/2.16 tff(c_333, plain, (![A_9_96, A_7_95, A_6_92]: (~E(f(A_9_96), 0) | ~E(f(A_7_95), s(s(0))) | ~E(f(A_6_92), s(s(s(0)))))), inference(splitRight, [status(thm)], [c_329])).
% 4.97/2.16 tff(c_334, plain, (![A_6_92]: (~E(f(A_6_92), s(s(s(0)))))), inference(splitLeft, [status(thm)], [c_333])).
% 4.97/2.16 tff(c_336, plain, $false, inference(negUnitSimplification, [status(thm)], [c_334, c_244])).
% 4.97/2.16 tff(c_337, plain, (![A_9_96, A_7_95]: (~E(f(A_9_96), 0) | ~E(f(A_7_95), s(s(0))))), inference(splitRight, [status(thm)], [c_333])).
% 4.97/2.16 tff(c_338, plain, (![A_7_95]: (~E(f(A_7_95), s(s(0))))), inference(splitLeft, [status(thm)], [c_337])).
% 4.97/2.16 tff(c_345, plain, (![A_6_107, A_5_112]: (~E(f(A_6_107), s(s(s(0)))) | ~E(f(A_5_112), s(s(s(s(0))))))), inference(negUnitSimplification, [status(thm)], [c_338, c_214])).
% 4.97/2.16 tff(c_346, plain, (![A_5_112]: (~E(f(A_5_112), s(s(s(s(0))))))), inference(splitLeft, [status(thm)], [c_345])).
% 4.97/2.16 tff(c_348, plain, $false, inference(negUnitSimplification, [status(thm)], [c_346, c_216])).
% 4.97/2.16 tff(c_349, plain, (![A_6_107]: (~E(f(A_6_107), s(s(s(0)))))), inference(splitRight, [status(thm)], [c_345])).
% 4.97/2.16 tff(c_351, plain, $false, inference(negUnitSimplification, [status(thm)], [c_349, c_244])).
% 4.97/2.16 tff(c_352, plain, (![A_9_96]: (~E(f(A_9_96), 0))), inference(splitRight, [status(thm)], [c_337])).
% 4.97/2.16 tff(c_44, plain, (![B_0_132, A_7_130, A_5_134, A_6_127, A_2_136, K_137, A_8_129, A_1_128, A_0_131, A_3_135, A_4_133]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_137)), 0) | ~E(f(A_3_135), s(s(s(s(s(s(0))))))) | ~E(f(A_0_131), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_6_127), s(s(s(0)))) | ~E(f(A_2_136), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_130), s(s(0))) | ~E(f(A_5_134), s(s(s(s(0))))) | ~E(f(B_0_132), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_8_129), s(0)) | ~E(f(A_4_133), s(s(s(s(s(0)))))) | ~E(f(A_1_128), s(s(s(s(s(s(s(s(0))))))))))), inference(cnfTransformation, [status(thm)], [f_422])).
% 4.97/2.17 tff(c_58, plain, (![B_0_132, A_7_130, A_5_134, A_6_127, A_2_136, K_137, A_8_129, A_1_128, A_3_135, A_4_133]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_137)), 0) | ~E(f(A_3_135), s(s(s(s(s(s(0))))))) | ~E(f(A_6_127), s(s(s(0)))) | ~E(f(A_2_136), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_130), s(s(0))) | ~E(f(A_5_134), s(s(s(s(0))))) | ~E(f(B_0_132), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_8_129), s(0)) | ~E(f(A_4_133), s(s(s(s(s(0)))))) | ~E(f(A_1_128), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_18, c_44])).
% 4.97/2.17 tff(c_110, plain, (![A_7_130, A_5_134, A_6_127, A_2_136, K_137, A_8_129, A_1_128, A_3_135, A_4_133]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_137)), 0) | ~E(f(A_3_135), s(s(s(s(s(s(0))))))) | ~E(f(A_6_127), s(s(s(0)))) | ~E(f(A_2_136), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_130), s(s(0))) | ~E(f(A_5_134), s(s(s(s(0))))) | ~E(f(A_8_129), s(0)) | ~E(f(A_4_133), s(s(s(s(s(0)))))) | ~E(f(A_1_128), s(s(s(s(s(s(s(s(0))))))))))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_58])).
% 4.97/2.17 tff(c_146, plain, (![A_7_130, A_5_134, A_6_127, A_2_136, K_137, A_8_129, A_3_135, A_4_133]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_137)), 0) | ~E(f(A_3_135), s(s(s(s(s(s(0))))))) | ~E(f(A_6_127), s(s(s(0)))) | ~E(f(A_2_136), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_7_130), s(s(0))) | ~E(f(A_5_134), s(s(s(s(0))))) | ~E(f(A_8_129), s(0)) | ~E(f(A_4_133), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_118, c_110])).
% 4.97/2.17 tff(c_176, plain, (![A_7_130, A_5_134, A_6_127, K_137, A_8_129, A_3_135, A_4_133]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_137)), 0) | ~E(f(A_3_135), s(s(s(s(s(s(0))))))) | ~E(f(A_6_127), s(s(s(0)))) | ~E(f(A_7_130), s(s(0))) | ~E(f(A_5_134), s(s(s(s(0))))) | ~E(f(A_8_129), s(0)) | ~E(f(A_4_133), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_122, c_146])).
% 4.97/2.17 tff(c_200, plain, (![A_7_130, A_5_134, A_6_127, K_137, A_8_129, A_4_133]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_137)), 0) | ~E(f(A_6_127), s(s(s(0)))) | ~E(f(A_7_130), s(s(0))) | ~E(f(A_5_134), s(s(s(s(0))))) | ~E(f(A_8_129), s(0)) | ~E(f(A_4_133), s(s(s(s(s(0)))))))), inference(demodulation, [status(thm), theory('equality')], [c_178, c_176])).
% 4.97/2.17 tff(c_226, plain, (![A_7_130, A_5_134, A_6_127, K_137, A_8_129]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_137)), 0) | ~E(f(A_6_127), s(s(s(0)))) | ~E(f(A_7_130), s(s(0))) | ~E(f(A_5_134), s(s(s(s(0))))) | ~E(f(A_8_129), s(0)))), inference(demodulation, [status(thm), theory('equality')], [c_188, c_200])).
% 4.97/2.17 tff(c_406, plain, (![A_6_127, A_7_130, A_5_134, A_8_129]: (~E(f(A_6_127), s(s(s(0)))) | ~E(f(A_7_130), s(s(0))) | ~E(f(A_5_134), s(s(s(s(0))))) | ~E(f(A_8_129), s(0)))), inference(negUnitSimplification, [status(thm)], [c_352, c_226])).
% 4.97/2.17 tff(c_407, plain, (![A_8_129]: (~E(f(A_8_129), s(0)))), inference(splitLeft, [status(thm)], [c_406])).
% 4.97/2.17 tff(c_375, plain, (![A_5_63]: (~E(f(A_5_63), s(s(s(s(0))))))), inference(splitLeft, [status(thm)], [c_218])).
% 4.97/2.17 tff(c_377, plain, $false, inference(negUnitSimplification, [status(thm)], [c_375, c_216])).
% 4.97/2.17 tff(c_378, plain, (![A_6_57, A_7_59, K_66]: (~E(f(A_6_57), s(s(s(0)))) | ~E(f(A_7_59), s(s(0))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)))), inference(splitRight, [status(thm)], [c_218])).
% 4.97/2.17 tff(c_384, plain, (![A_6_57]: (~E(f(A_6_57), s(s(s(0)))))), inference(splitLeft, [status(thm)], [c_378])).
% 4.97/2.17 tff(c_386, plain, $false, inference(negUnitSimplification, [status(thm)], [c_384, c_244])).
% 4.97/2.17 tff(c_387, plain, (![A_7_59, K_66]: (~E(f(A_7_59), s(s(0))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)))), inference(splitRight, [status(thm)], [c_378])).
% 4.97/2.17 tff(c_388, plain, (![A_7_59]: (~E(f(A_7_59), s(s(0))))), inference(splitLeft, [status(thm)], [c_387])).
% 4.97/2.17 tff(c_354, plain, (![A_5_112]: (~E(f(A_5_112), s(s(s(s(0))))))), inference(splitLeft, [status(thm)], [c_214])).
% 4.97/2.17 tff(c_360, plain, $false, inference(negUnitSimplification, [status(thm)], [c_354, c_216])).
% 4.97/2.17 tff(c_361, plain, (![A_6_107, K_115]: (~E(f(A_6_107), s(s(s(0)))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))))), inference(splitRight, [status(thm)], [c_214])).
% 4.97/2.17 tff(c_362, plain, (![A_6_107]: (~E(f(A_6_107), s(s(s(0)))))), inference(splitLeft, [status(thm)], [c_361])).
% 4.97/2.17 tff(c_364, plain, $false, inference(negUnitSimplification, [status(thm)], [c_362, c_244])).
% 4.97/2.17 tff(c_365, plain, (![K_115]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_115)), s(s(0))))), inference(splitRight, [status(thm)], [c_361])).
% 4.97/2.17 tff(c_390, plain, $false, inference(negUnitSimplification, [status(thm)], [c_388, c_365])).
% 4.97/2.17 tff(c_391, plain, (![K_66]: (E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K_66)), s(0)))), inference(splitRight, [status(thm)], [c_387])).
% 4.97/2.17 tff(c_409, plain, $false, inference(negUnitSimplification, [status(thm)], [c_407, c_391])).
% 4.97/2.17 tff(c_410, plain, (![A_7_130, A_6_127, A_5_134]: (~E(f(A_7_130), s(s(0))) | ~E(f(A_6_127), s(s(s(0)))) | ~E(f(A_5_134), s(s(s(s(0))))))), inference(splitRight, [status(thm)], [c_406])).
% 4.97/2.17 tff(c_411, plain, (![A_5_134]: (~E(f(A_5_134), s(s(s(s(0))))))), inference(splitLeft, [status(thm)], [c_410])).
% 4.97/2.17 tff(c_413, plain, $false, inference(negUnitSimplification, [status(thm)], [c_411, c_216])).
% 4.97/2.17 tff(c_414, plain, (![A_7_130, A_6_127]: (~E(f(A_7_130), s(s(0))) | ~E(f(A_6_127), s(s(s(0)))))), inference(splitRight, [status(thm)], [c_410])).
% 4.97/2.17 tff(c_415, plain, (![A_6_127]: (~E(f(A_6_127), s(s(s(0)))))), inference(splitLeft, [status(thm)], [c_414])).
% 4.97/2.17 tff(c_417, plain, $false, inference(negUnitSimplification, [status(thm)], [c_415, c_244])).
% 4.97/2.17 tff(c_418, plain, (![A_7_130]: (~E(f(A_7_130), s(s(0))))), inference(splitRight, [status(thm)], [c_414])).
% 4.97/2.17 tff(c_420, plain, $false, inference(negUnitSimplification, [status(thm)], [c_418, c_365])).
% 4.97/2.17 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.97/2.17
% 4.97/2.17 Inference rules
% 4.97/2.17 ----------------------
% 4.97/2.17 #Ref : 0
% 4.97/2.17 #Sup : 0
% 4.97/2.17 #Fact : 0
% 4.97/2.17 #Define : 0
% 4.97/2.17 #Split : 40
% 4.97/2.17 #Chain : 0
% 4.97/2.17 #Close : 0
% 4.97/2.17
% 4.97/2.17 Ordering : KBO
% 4.97/2.17
% 4.97/2.17 Simplification rules
% 4.97/2.17 ----------------------
% 4.97/2.17 #Subsume : 2
% 4.97/2.17 #Demod : 94
% 4.97/2.17 #Tautology : 0
% 4.97/2.17 #SimpNegUnit : 44
% 4.97/2.17 #BackRed : 40
% 4.97/2.17
% 4.97/2.17 #Partial instantiations: 0
% 4.97/2.17 #Strategies tried : 1
% 4.97/2.17
% 4.97/2.17 Timing (in seconds)
% 4.97/2.17 ----------------------
% 4.97/2.17 Preprocessing : 0.66
% 4.97/2.17 Parsing : 0.35
% 4.97/2.17 CNF conversion : 0.03
% 4.97/2.17 Main loop : 0.41
% 4.97/2.17 Inferencing : 0.08
% 4.97/2.17 Reduction : 0.16
% 4.97/2.17 Demodulation : 0.12
% 4.97/2.17 BG Simplification : 0.03
% 4.97/2.17 Subsumption : 0.12
% 4.97/2.17 Abstraction : 0.02
% 4.97/2.17 MUC search : 0.00
% 4.97/2.17 Cooper : 0.00
% 4.97/2.17 Total : 1.15
% 4.97/2.17 Index Insertion : 0.00
% 4.97/2.17 Index Deletion : 0.00
% 4.97/2.17 Index Matching : 0.00
% 4.97/2.17 BG Taut test : 0.00
%------------------------------------------------------------------------------