%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV571-1.049 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eCJrwCGwr7 true
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:01:40 PM UTC 2025
% Result : Unsatisfiable 10.43s 2.43s
% Output : Refutation 10.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15 % Problem : SWV571-1.049 : TPTP v9.2.0. Released v4.0.0.
% 0.05/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eCJrwCGwr7 true
% 0.10/0.42 % Computer : n005.cluster.edu
% 0.10/0.42 % Model : x86_64 x86_64
% 0.10/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42 % Memory : 8042.1875MB
% 0.10/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.42 % CPULimit : 300
% 0.10/0.42 % WCLimit : 300
% 0.10/0.42 % DateTime : Wed Oct 1 12:39:23 EDT 2025
% 0.10/0.43 % CPUTime :
% 0.10/0.43 % Running portfolio for 300 s
% 0.10/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43 % Number of cores: 8
% 0.10/0.43 % Python version: Python 3.6.8
% 0.10/0.43 % Running in FO mode
% 0.27/0.65 % Total configuration time : 435
% 0.27/0.65 % Estimated wc time : 1092
% 0.27/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.27/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.27/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.27/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.27/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.27/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.27/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.27/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.27/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.27/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 0.27/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 10.43/2.43 % Solved by fo/fo13.sh.
% 10.43/2.43 % done 2470 iterations in 1.546s
% 10.43/2.43 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.43/2.43 % SZS output start Refutation
% 10.43/2.43 thf(elem_301_type, type, elem_301: $i).
% 10.43/2.43 thf(queue_209_type, type, queue_209: $i).
% 10.43/2.43 thf(earray_274_type, type, earray_274: $i).
% 10.43/2.43 thf(queue_167_type, type, queue_167: $i).
% 10.43/2.43 thf(q44_type, type, q44: $i).
% 10.43/2.43 thf(queue_127_type, type, queue_127: $i).
% 10.43/2.43 thf(q19_type, type, q19: $i).
% 10.43/2.43 thf(index_189_type, type, index_189: $i).
% 10.43/2.43 thf(index_228_type, type, index_228: $i).
% 10.43/2.43 thf(index_267_type, type, index_267: $i).
% 10.43/2.43 thf(queue_187_type, type, queue_187: $i).
% 10.43/2.43 thf(index_48_type, type, index_48: $i).
% 10.43/2.43 thf(earray_160_type, type, earray_160: $i).
% 10.43/2.43 thf(earray_100_type, type, earray_100: $i).
% 10.43/2.43 thf(q1_type, type, q1: $i).
% 10.43/2.43 thf(index_213_type, type, index_213: $i).
% 10.43/2.43 thf(index_144_type, type, index_144: $i).
% 10.43/2.43 thf(index_117_type, type, index_117: $i).
% 10.43/2.43 thf(queue_107_type, type, queue_107: $i).
% 10.43/2.43 thf(index_0_type, type, index_0: $i).
% 10.43/2.43 thf(queue_89_type, type, queue_89: $i).
% 10.43/2.43 thf(index_150_type, type, index_150: $i).
% 10.43/2.43 thf(queue_205_type, type, queue_205: $i).
% 10.43/2.43 thf(index_177_type, type, index_177: $i).
% 10.43/2.43 thf(queue_157_type, type, queue_157: $i).
% 10.43/2.43 thf(q14_type, type, q14: $i).
% 10.43/2.43 thf(index_99_type, type, index_99: $i).
% 10.43/2.43 thf(queue_79_type, type, queue_79: $i).
% 10.43/2.43 thf(index_75_type, type, index_75: $i).
% 10.43/2.43 thf(queue_199_type, type, queue_199: $i).
% 10.43/2.43 thf(queue_77_type, type, queue_77: $i).
% 10.43/2.43 thf(index_273_type, type, index_273: $i).
% 10.43/2.43 thf(earray_232_type, type, earray_232: $i).
% 10.43/2.43 thf(index_294_type, type, index_294: $i).
% 10.43/2.43 thf(q13_type, type, q13: $i).
% 10.43/2.43 thf(earray_238_type, type, earray_238: $i).
% 10.43/2.43 thf(queue_47_type, type, queue_47: $i).
% 10.43/2.43 thf(queue_179_type, type, queue_179: $i).
% 10.43/2.43 thf(q47_type, type, q47: $i).
% 10.43/2.43 thf(earray_208_type, type, earray_208: $i).
% 10.43/2.43 thf(queue_265_type, type, queue_265: $i).
% 10.43/2.43 thf(queue_191_type, type, queue_191: $i).
% 10.43/2.43 thf(queue_241_type, type, queue_241: $i).
% 10.43/2.43 thf(index_6_type, type, index_6: $i).
% 10.43/2.43 thf(earray_190_type, type, earray_190: $i).
% 10.43/2.43 thf(index_198_type, type, index_198: $i).
% 10.43/2.43 thf(queue_31_type, type, queue_31: $i).
% 10.43/2.43 thf(queue_35_type, type, queue_35: $i).
% 10.43/2.43 thf(queue_149_type, type, queue_149: $i).
% 10.43/2.43 thf(earray_34_type, type, earray_34: $i).
% 10.43/2.43 thf(index_15_type, type, index_15: $i).
% 10.43/2.43 thf(queue_181_type, type, queue_181: $i).
% 10.43/2.43 thf(index_18_type, type, index_18: $i).
% 10.43/2.43 thf(q10_type, type, q10: $i).
% 10.43/2.43 thf(queue_109_type, type, queue_109: $i).
% 10.43/2.43 thf(queue_271_type, type, queue_271: $i).
% 10.43/2.43 thf(index_90_type, type, index_90: $i).
% 10.43/2.43 thf(earray_58_type, type, earray_58: $i).
% 10.43/2.43 thf(index_300_type, type, index_300: $i).
% 10.43/2.43 thf(queue_83_type, type, queue_83: $i).
% 10.43/2.43 thf(queue_251_type, type, queue_251: $i).
% 10.43/2.43 thf(store_type, type, store: $i > $i > $i > $i).
% 10.43/2.43 thf(queue_185_type, type, queue_185: $i).
% 10.43/2.43 thf(index_147_type, type, index_147: $i).
% 10.43/2.43 thf(index_84_type, type, index_84: $i).
% 10.43/2.43 thf(earray_136_type, type, earray_136: $i).
% 10.43/2.43 thf(index_243_type, type, index_243: $i).
% 10.43/2.43 thf(queue_175_type, type, queue_175: $i).
% 10.43/2.43 thf(index_66_type, type, index_66: $i).
% 10.43/2.43 thf(q36_type, type, q36: $i).
% 10.43/2.43 thf(queue_247_type, type, queue_247: $i).
% 10.43/2.43 thf(earray_64_type, type, earray_64: $i).
% 10.43/2.43 thf(queue_163_type, type, queue_163: $i).
% 10.43/2.43 thf(earray_262_type, type, earray_262: $i).
% 10.43/2.43 thf(index_291_type, type, index_291: $i).
% 10.43/2.43 thf(queue_97_type, type, queue_97: $i).
% 10.43/2.43 thf(q12_type, type, q12: $i).
% 10.43/2.43 thf(index_3_type, type, index_3: $i).
% 10.43/2.43 thf(earray_82_type, type, earray_82: $i).
% 10.43/2.43 thf(q34_type, type, q34: $i).
% 10.43/2.43 thf(head_type, type, head: $i).
% 10.43/2.43 thf(earray_118_type, type, earray_118: $i).
% 10.43/2.43 thf(index_216_type, type, index_216: $i).
% 10.43/2.43 thf(earray_178_type, type, earray_178: $i).
% 10.43/2.43 thf(earray_184_type, type, earray_184: $i).
% 10.43/2.43 thf(index_132_type, type, index_132: $i).
% 10.43/2.43 thf(queue_59_type, type, queue_59: $i).
% 10.43/2.43 thf(queue_17_type, type, queue_17: $i).
% 10.43/2.43 thf(queue_125_type, type, queue_125: $i).
% 10.43/2.43 thf(earray_40_type, type, earray_40: $i).
% 10.43/2.43 thf(q9_type, type, q9: $i).
% 10.43/2.43 thf(q45_type, type, q45: $i).
% 10.43/2.43 thf(index_162_type, type, index_162: $i).
% 10.43/2.43 thf(queue_119_type, type, queue_119: $i).
% 10.43/2.43 thf(queue_95_type, type, queue_95: $i).
% 10.43/2.43 thf(earray_10_type, type, earray_10: $i).
% 10.43/2.43 thf(earray_286_type, type, earray_286: $i).
% 10.43/2.43 thf(index_126_type, type, index_126: $i).
% 10.43/2.43 thf(earray_260_type, type, earray_260: $i).
% 10.43/2.43 thf(q32_type, type, q32: $i).
% 10.43/2.43 thf(index_210_type, type, index_210: $i).
% 10.43/2.43 thf(index_246_type, type, index_246: $i).
% 10.43/2.43 thf(queue_223_type, type, queue_223: $i).
% 10.43/2.43 thf(queue_161_type, type, queue_161: $i).
% 10.43/2.43 thf(queue_277_type, type, queue_277: $i).
% 10.43/2.43 thf(index_299_type, type, index_299: $i).
% 10.43/2.43 thf(queue_173_type, type, queue_173: $i).
% 10.43/2.43 thf(index_123_type, type, index_123: $i).
% 10.43/2.43 thf(q43_type, type, q43: $i).
% 10.43/2.43 thf(earray_46_type, type, earray_46: $i).
% 10.43/2.43 thf(queue_137_type, type, queue_137: $i).
% 10.43/2.43 thf(index_264_type, type, index_264: $i).
% 10.43/2.43 thf(earray_130_type, type, earray_130: $i).
% 10.43/2.43 thf(index_57_type, type, index_57: $i).
% 10.43/2.43 thf(index_81_type, type, index_81: $i).
% 10.43/2.43 thf(earray_268_type, type, earray_268: $i).
% 10.43/2.43 thf(index_231_type, type, index_231: $i).
% 10.43/2.43 thf(q38_type, type, q38: $i).
% 10.43/2.43 thf(index_96_type, type, index_96: $i).
% 10.43/2.43 thf(earray_22_type, type, earray_22: $i).
% 10.43/2.43 thf(index_237_type, type, index_237: $i).
% 10.43/2.43 thf(queue_139_type, type, queue_139: $i).
% 10.43/2.43 thf(index_129_type, type, index_129: $i).
% 10.43/2.43 thf(q16_type, type, q16: $i).
% 10.43/2.43 thf(queue_229_type, type, queue_229: $i).
% 10.43/2.43 thf(q18_type, type, q18: $i).
% 10.43/2.43 thf(index_186_type, type, index_186: $i).
% 10.43/2.43 thf(index_168_type, type, index_168: $i).
% 10.43/2.43 thf(queue_151_type, type, queue_151: $i).
% 10.43/2.43 thf(queue_269_type, type, queue_269: $i).
% 10.43/2.43 thf(q0_type, type, q0: $i).
% 10.43/2.43 thf(index_42_type, type, index_42: $i).
% 10.43/2.43 thf(q5_type, type, q5: $i).
% 10.43/2.43 thf(q24_type, type, q24: $i).
% 10.43/2.43 thf(queue_5_type, type, queue_5: $i).
% 10.43/2.43 thf(queue_61_type, type, queue_61: $i).
% 10.43/2.43 thf(index_102_type, type, index_102: $i).
% 10.43/2.43 thf(q8_type, type, q8: $i).
% 10.43/2.43 thf(queue_25_type, type, queue_25: $i).
% 10.43/2.43 thf(index_111_type, type, index_111: $i).
% 10.43/2.43 thf(queue_101_type, type, queue_101: $i).
% 10.43/2.43 thf(index_282_type, type, index_282: $i).
% 10.43/2.43 thf(index_171_type, type, index_171: $i).
% 10.43/2.43 thf(q21_type, type, q21: $i).
% 10.43/2.43 thf(queue_235_type, type, queue_235: $i).
% 10.43/2.43 thf(q48_type, type, q48: $i).
% 10.43/2.43 thf(index_30_type, type, index_30: $i).
% 10.43/2.43 thf(index_204_type, type, index_204: $i).
% 10.43/2.43 thf(queue_239_type, type, queue_239: $i).
% 10.43/2.43 thf(queue_263_type, type, queue_263: $i).
% 10.43/2.43 thf(earray_280_type, type, earray_280: $i).
% 10.43/2.43 thf(index_270_type, type, index_270: $i).
% 10.43/2.43 thf(earray_4_type, type, earray_4: $i).
% 10.43/2.43 thf(index_69_type, type, index_69: $i).
% 10.43/2.43 thf(index_279_type, type, index_279: $i).
% 10.43/2.43 thf(queue_257_type, type, queue_257: $i).
% 10.43/2.43 thf(queue_131_type, type, queue_131: $i).
% 10.43/2.43 thf(index_192_type, type, index_192: $i).
% 10.43/2.43 thf(q33_type, type, q33: $i).
% 10.43/2.43 thf(queue_41_type, type, queue_41: $i).
% 10.43/2.43 thf(index_156_type, type, index_156: $i).
% 10.43/2.43 thf(index_39_type, type, index_39: $i).
% 10.43/2.43 thf(q42_type, type, q42: $i).
% 10.43/2.43 thf(queue_293_type, type, queue_293: $i).
% 10.43/2.43 thf(earray_148_type, type, earray_148: $i).
% 10.43/2.43 thf(earray_106_type, type, earray_106: $i).
% 10.43/2.43 thf(index_105_type, type, index_105: $i).
% 10.43/2.43 thf(queue_193_type, type, queue_193: $i).
% 10.43/2.43 thf(index_36_type, type, index_36: $i).
% 10.43/2.43 thf(earray_154_type, type, earray_154: $i).
% 10.43/2.43 thf(queue_1_type, type, queue_1: $i).
% 10.43/2.43 thf(queue_29_type, type, queue_29: $i).
% 10.43/2.43 thf(queue_7_type, type, queue_7: $i).
% 10.43/2.43 thf(queue_73_type, type, queue_73: $i).
% 10.43/2.43 thf(q37_type, type, q37: $i).
% 10.43/2.43 thf(earray_28_type, type, earray_28: $i).
% 10.43/2.43 thf(q30_type, type, q30: $i).
% 10.43/2.43 thf(queue_221_type, type, queue_221: $i).
% 10.43/2.43 thf(q20_type, type, q20: $i).
% 10.43/2.43 thf(q27_type, type, q27: $i).
% 10.43/2.43 thf(index_9_type, type, index_9: $i).
% 10.43/2.43 thf(queue_169_type, type, queue_169: $i).
% 10.43/2.43 thf(queue_233_type, type, queue_233: $i).
% 10.43/2.43 thf(queue_281_type, type, queue_281: $i).
% 10.43/2.43 thf(queue_71_type, type, queue_71: $i).
% 10.43/2.43 thf(index_141_type, type, index_141: $i).
% 10.43/2.43 thf(queue_253_type, type, queue_253: $i).
% 10.43/2.43 thf(index_165_type, type, index_165: $i).
% 10.43/2.43 thf(seq_type, type, seq: $i).
% 10.43/2.43 thf(queue_227_type, type, queue_227: $i).
% 10.43/2.43 thf(earray_226_type, type, earray_226: $i).
% 10.43/2.43 thf(queue_37_type, type, queue_37: $i).
% 10.43/2.43 thf(queue_23_type, type, queue_23: $i).
% 10.43/2.43 thf(q4_type, type, q4: $i).
% 10.43/2.43 thf(earray_16_type, type, earray_16: $i).
% 10.43/2.43 thf(queue_65_type, type, queue_65: $i).
% 10.43/2.43 thf(q29_type, type, q29: $i).
% 10.43/2.43 thf(index_261_type, type, index_261: $i).
% 10.43/2.43 thf(earray_220_type, type, earray_220: $i).
% 10.43/2.43 thf(earray_124_type, type, earray_124: $i).
% 10.43/2.43 thf(index_183_type, type, index_183: $i).
% 10.43/2.43 thf(earray_202_type, type, earray_202: $i).
% 10.43/2.43 thf(earray_256_type, type, earray_256: $i).
% 10.43/2.43 thf(index_108_type, type, index_108: $i).
% 10.43/2.43 thf(index_120_type, type, index_120: $i).
% 10.43/2.43 thf(q35_type, type, q35: $i).
% 10.43/2.43 thf(queue_295_type, type, queue_295: $i).
% 10.43/2.43 thf(select_type, type, select: $i > $i > $i).
% 10.43/2.43 thf(q49_type, type, q49: $i).
% 10.43/2.43 thf(earray_172_type, type, earray_172: $i).
% 10.43/2.43 thf(q6_type, type, q6: $i).
% 10.43/2.43 thf(q17_type, type, q17: $i).
% 10.43/2.43 thf(queue_197_type, type, queue_197: $i).
% 10.43/2.43 thf(q23_type, type, q23: $i).
% 10.43/2.43 thf(index_60_type, type, index_60: $i).
% 10.43/2.43 thf(index_249_type, type, index_249: $i).
% 10.43/2.43 thf(e48_type, type, e48: $i).
% 10.43/2.43 thf(q15_type, type, q15: $i).
% 10.43/2.43 thf(earray_244_type, type, earray_244: $i).
% 10.43/2.43 thf(q2_type, type, q2: $i).
% 10.43/2.43 thf(tail_type, type, tail: $i).
% 10.43/2.43 thf(index_12_type, type, index_12: $i).
% 10.43/2.43 thf(index_135_type, type, index_135: $i).
% 10.43/2.43 thf(queue_49_type, type, queue_49: $i).
% 10.43/2.43 thf(q26_type, type, q26: $i).
% 10.43/2.43 thf(q39_type, type, q39: $i).
% 10.43/2.43 thf(index_285_type, type, index_285: $i).
% 10.43/2.43 thf(index_87_type, type, index_87: $i).
% 10.43/2.43 thf(index_222_type, type, index_222: $i).
% 10.43/2.43 thf(index_225_type, type, index_225: $i).
% 10.43/2.43 thf(q11_type, type, q11: $i).
% 10.43/2.43 thf(queue_287_type, type, queue_287: $i).
% 10.43/2.43 thf(queue_43_type, type, queue_43: $i).
% 10.43/2.43 thf(index_195_type, type, index_195: $i).
% 10.43/2.43 thf(index_234_type, type, index_234: $i).
% 10.43/2.43 thf(index_159_type, type, index_159: $i).
% 10.43/2.43 thf(queue_19_type, type, queue_19: $i).
% 10.43/2.43 thf(index_219_type, type, index_219: $i).
% 10.43/2.43 thf(s_type, type, s: $i > $i).
% 10.43/2.43 thf(earray_112_type, type, earray_112: $i).
% 10.43/2.43 thf(index_252_type, type, index_252: $i).
% 10.43/2.43 thf(queue_67_type, type, queue_67: $i).
% 10.43/2.43 thf(queue_143_type, type, queue_143: $i).
% 10.43/2.43 thf(index_45_type, type, index_45: $i).
% 10.43/2.43 thf(index_288_type, type, index_288: $i).
% 10.43/2.43 thf(index_240_type, type, index_240: $i).
% 10.43/2.43 thf(earray_88_type, type, earray_88: $i).
% 10.43/2.43 thf(index_153_type, type, index_153: $i).
% 10.43/2.43 thf(queue_217_type, type, queue_217: $i).
% 10.43/2.43 thf(index_207_type, type, index_207: $i).
% 10.43/2.43 thf(queue_145_type, type, queue_145: $i).
% 10.43/2.43 thf(queue_289_type, type, queue_289: $i).
% 10.43/2.43 thf(queue_113_type, type, queue_113: $i).
% 10.43/2.43 thf(index_255_type, type, index_255: $i).
% 10.43/2.43 thf(earray_196_type, type, earray_196: $i).
% 10.43/2.43 thf(queue_259_type, type, queue_259: $i).
% 10.43/2.43 thf(earray_296_type, type, earray_296: $i).
% 10.43/2.43 thf(q22_type, type, q22: $i).
% 10.43/2.43 thf(queue_115_type, type, queue_115: $i).
% 10.43/2.43 thf(q41_type, type, q41: $i).
% 10.43/2.43 thf(index_24_type, type, index_24: $i).
% 10.43/2.43 thf(index_93_type, type, index_93: $i).
% 10.43/2.43 thf(index_63_type, type, index_63: $i).
% 10.43/2.43 thf(queue_203_type, type, queue_203: $i).
% 10.43/2.43 thf(queue_155_type, type, queue_155: $i).
% 10.43/2.43 thf(queue_133_type, type, queue_133: $i).
% 10.43/2.43 thf(queue_85_type, type, queue_85: $i).
% 10.43/2.43 thf(earray_94_type, type, earray_94: $i).
% 10.43/2.43 thf(earray_214_type, type, earray_214: $i).
% 10.43/2.43 thf(q7_type, type, q7: $i).
% 10.43/2.43 thf(earray_142_type, type, earray_142: $i).
% 10.43/2.43 thf(earray_52_type, type, earray_52: $i).
% 10.43/2.43 thf(earray_70_type, type, earray_70: $i).
% 10.43/2.43 thf(q40_type, type, q40: $i).
% 10.43/2.43 thf(queue_121_type, type, queue_121: $i).
% 10.43/2.43 thf(index_276_type, type, index_276: $i).
% 10.43/2.43 thf(index_138_type, type, index_138: $i).
% 10.43/2.43 thf(queue_103_type, type, queue_103: $i).
% 10.43/2.43 thf(index_78_type, type, index_78: $i).
% 10.43/2.43 thf(queue_53_type, type, queue_53: $i).
% 10.43/2.43 thf(queue_11_type, type, queue_11: $i).
% 10.43/2.43 thf(elem_298_type, type, elem_298: $i).
% 10.43/2.43 thf(q25_type, type, q25: $i).
% 10.43/2.43 thf(q3_type, type, q3: $i).
% 10.43/2.43 thf(q31_type, type, q31: $i).
% 10.43/2.43 thf(index_72_type, type, index_72: $i).
% 10.43/2.43 thf(index_174_type, type, index_174: $i).
% 10.43/2.43 thf(queue_245_type, type, queue_245: $i).
% 10.43/2.43 thf(index_54_type, type, index_54: $i).
% 10.43/2.43 thf(index_114_type, type, index_114: $i).
% 10.43/2.43 thf(index_51_type, type, index_51: $i).
% 10.43/2.43 thf(index_27_type, type, index_27: $i).
% 10.43/2.43 thf(queue_283_type, type, queue_283: $i).
% 10.43/2.43 thf(earray_76_type, type, earray_76: $i).
% 10.43/2.43 thf(p_type, type, p: $i > $i).
% 10.43/2.43 thf(index_297_type, type, index_297: $i).
% 10.43/2.43 thf(index_258_type, type, index_258: $i).
% 10.43/2.43 thf(q28_type, type, q28: $i).
% 10.43/2.43 thf(index_180_type, type, index_180: $i).
% 10.43/2.43 thf(queue_275_type, type, queue_275: $i).
% 10.43/2.43 thf(queue_91_type, type, queue_91: $i).
% 10.43/2.43 thf(earray_292_type, type, earray_292: $i).
% 10.43/2.43 thf(queue_55_type, type, queue_55: $i).
% 10.43/2.43 thf(q46_type, type, q46: $i).
% 10.43/2.43 thf(index_21_type, type, index_21: $i).
% 10.43/2.43 thf(index_33_type, type, index_33: $i).
% 10.43/2.43 thf(queue_13_type, type, queue_13: $i).
% 10.43/2.43 thf(queue_211_type, type, queue_211: $i).
% 10.43/2.43 thf(earray_166_type, type, earray_166: $i).
% 10.43/2.43 thf(queue_215_type, type, queue_215: $i).
% 10.43/2.43 thf(q_type, type, q: $i).
% 10.43/2.43 thf(earray_250_type, type, earray_250: $i).
% 10.43/2.43 thf(index_201_type, type, index_201: $i).
% 10.43/2.43 thf(hyp99, axiom, (( elem_298 ) = ( select @ earray_296 @ index_297 ))).
% 10.43/2.43 thf(zip_derived_cl109, plain,
% 10.43/2.43 (((elem_298) = (select @ earray_296 @ index_297))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp99])).
% 10.43/2.43 thf(hyp73, axiom, (( earray_296 ) = ( select @ q49 @ seq ))).
% 10.43/2.43 thf(zip_derived_cl83, plain, (((earray_296) = (select @ q49 @ seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp73])).
% 10.43/2.43 thf(hyp265, axiom,
% 10.43/2.43 (( queue_265 ) = ( store @ queue_263 @ tail @ index_264 ))).
% 10.43/2.43 thf(zip_derived_cl275, plain,
% 10.43/2.43 (((queue_265) = (store @ queue_263 @ tail @ index_264))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp265])).
% 10.43/2.43 thf(hyp346, axiom, (( q49 ) = ( queue_265 ))).
% 10.43/2.43 thf(zip_derived_cl356, plain, (((q49) = (queue_265))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp346])).
% 10.43/2.43 thf(zip_derived_cl394, plain,
% 10.43/2.43 (((q49) = (store @ queue_263 @ tail @ index_264))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl275, zip_derived_cl356])).
% 10.43/2.43 thf(hyp159, axiom, (( index_258 ) = ( s @ index_255 ))).
% 10.43/2.43 thf(zip_derived_cl169, plain, (((index_258) = (s @ index_255))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp159])).
% 10.43/2.43 thf(hyp263, axiom,
% 10.43/2.43 (( queue_259 ) = ( store @ queue_257 @ tail @ index_258 ))).
% 10.43/2.43 thf(zip_derived_cl273, plain,
% 10.43/2.43 (((queue_259) = (store @ queue_257 @ tail @ index_258))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp263])).
% 10.43/2.43 thf(hyp345, axiom, (( q48 ) = ( queue_259 ))).
% 10.43/2.43 thf(zip_derived_cl355, plain, (((q48) = (queue_259))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp345])).
% 10.43/2.43 thf(zip_derived_cl393, plain,
% 10.43/2.43 (((q48) = (store @ queue_257 @ tail @ index_258))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl355])).
% 10.43/2.43 thf(a1, axiom, (( select @ ( store @ A @ I @ E ) @ I ) = ( E ))).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1055, plain, (((select @ q48 @ tail) = (index_258))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl0])).
% 10.43/2.43 thf(hyp160, axiom, (( index_261 ) = ( select @ q48 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl170, plain, (((index_261) = (select @ q48 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp160])).
% 10.43/2.43 thf(zip_derived_cl1057, plain, (((index_261) = (index_258))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1055, zip_derived_cl170])).
% 10.43/2.43 thf(zip_derived_cl1288, plain, (((index_261) = (s @ index_255))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl169, zip_derived_cl1057])).
% 10.43/2.43 thf(circular, axiom, (( s @ ( s @ ( s @ X ) ) ) = ( X ))).
% 10.43/2.43 thf(zip_derived_cl9, plain, (![X0 : $i]: ((s @ (s @ (s @ X0))) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [circular])).
% 10.43/2.43 thf(ps, axiom, (( p @ ( s @ X ) ) = ( X ))).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl418, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 10.43/2.43 thf(zip_derived_cl1642, plain, (((p @ index_255) = (s @ index_261))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl1288, zip_derived_cl418])).
% 10.43/2.43 thf(hyp157, axiom, (( index_252 ) = ( s @ index_249 ))).
% 10.43/2.43 thf(zip_derived_cl167, plain, (((index_252) = (s @ index_249))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp157])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl545, plain, (((p @ index_252) = (index_249))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl5])).
% 10.43/2.43 thf(hyp261, axiom,
% 10.43/2.43 (( queue_253 ) = ( store @ queue_251 @ tail @ index_252 ))).
% 10.43/2.43 thf(zip_derived_cl271, plain,
% 10.43/2.43 (((queue_253) = (store @ queue_251 @ tail @ index_252))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp261])).
% 10.43/2.43 thf(hyp344, axiom, (( q47 ) = ( queue_253 ))).
% 10.43/2.43 thf(zip_derived_cl354, plain, (((q47) = (queue_253))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp344])).
% 10.43/2.43 thf(zip_derived_cl392, plain,
% 10.43/2.43 (((q47) = (store @ queue_251 @ tail @ index_252))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl354])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1052, plain, (((select @ q47 @ tail) = (index_252))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl392, zip_derived_cl0])).
% 10.43/2.43 thf(hyp158, axiom, (( index_255 ) = ( select @ q47 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl168, plain, (((index_255) = (select @ q47 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp158])).
% 10.43/2.43 thf(zip_derived_cl1054, plain, (((index_255) = (index_252))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl168])).
% 10.43/2.43 thf(zip_derived_cl1284, plain, (((p @ index_255) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl545, zip_derived_cl1054])).
% 10.43/2.43 thf(hyp161, axiom, (( index_264 ) = ( s @ index_261 ))).
% 10.43/2.43 thf(zip_derived_cl171, plain, (((index_264) = (s @ index_261))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp161])).
% 10.43/2.43 thf(zip_derived_cl1643, plain, (((index_249) = (index_264))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1642, zip_derived_cl1284, zip_derived_cl171])).
% 10.43/2.43 thf(zip_derived_cl1645, plain,
% 10.43/2.43 (((q49) = (store @ queue_263 @ tail @ index_249))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl394, zip_derived_cl1643])).
% 10.43/2.43 thf(zip_derived_cl1284, plain, (((p @ index_255) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl545, zip_derived_cl1054])).
% 10.43/2.43 thf(zip_derived_cl169, plain, (((index_258) = (s @ index_255))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp159])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl551, plain, (((p @ index_258) = (index_255))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl5])).
% 10.43/2.43 thf(zip_derived_cl1057, plain, (((index_261) = (index_258))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1055, zip_derived_cl170])).
% 10.43/2.43 thf(zip_derived_cl1290, plain, (((p @ index_261) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl551, zip_derived_cl1057])).
% 10.43/2.43 thf(zip_derived_cl171, plain, (((index_264) = (s @ index_261))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp161])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl555, plain, (((p @ index_264) = (index_261))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl5])).
% 10.43/2.43 thf(zip_derived_cl1643, plain, (((index_249) = (index_264))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1642, zip_derived_cl1284, zip_derived_cl171])).
% 10.43/2.43 thf(hyp155, axiom, (( index_246 ) = ( s @ index_243 ))).
% 10.43/2.43 thf(zip_derived_cl165, plain, (((index_246) = (s @ index_243))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp155])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl541, plain, (((p @ index_246) = (index_243))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl165, zip_derived_cl5])).
% 10.43/2.43 thf(hyp258, axiom,
% 10.43/2.43 (( queue_247 ) = ( store @ queue_245 @ tail @ index_246 ))).
% 10.43/2.43 thf(zip_derived_cl268, plain,
% 10.43/2.43 (((queue_247) = (store @ queue_245 @ tail @ index_246))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp258])).
% 10.43/2.43 thf(hyp343, axiom, (( q46 ) = ( queue_247 ))).
% 10.43/2.43 thf(zip_derived_cl353, plain, (((q46) = (queue_247))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp343])).
% 10.43/2.43 thf(zip_derived_cl390, plain,
% 10.43/2.43 (((q46) = (store @ queue_245 @ tail @ index_246))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl353])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1046, plain, (((select @ q46 @ tail) = (index_246))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl0])).
% 10.43/2.43 thf(hyp156, axiom, (( index_249 ) = ( select @ q46 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl166, plain, (((index_249) = (select @ q46 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp156])).
% 10.43/2.43 thf(zip_derived_cl1048, plain, (((index_249) = (index_246))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1046, zip_derived_cl166])).
% 10.43/2.43 thf(zip_derived_cl1272, plain, (((p @ index_249) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl541, zip_derived_cl1048])).
% 10.43/2.43 thf(zip_derived_cl1646, plain, (((index_243) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl555, zip_derived_cl1643, zip_derived_cl1272])).
% 10.43/2.43 thf(hyp153, axiom, (( index_240 ) = ( s @ index_237 ))).
% 10.43/2.43 thf(zip_derived_cl163, plain, (((index_240) = (s @ index_237))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp153])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl537, plain, (((p @ index_240) = (index_237))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl5])).
% 10.43/2.43 thf(hyp256, axiom,
% 10.43/2.43 (( queue_241 ) = ( store @ queue_239 @ tail @ index_240 ))).
% 10.43/2.43 thf(zip_derived_cl266, plain,
% 10.43/2.43 (((queue_241) = (store @ queue_239 @ tail @ index_240))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp256])).
% 10.43/2.43 thf(hyp342, axiom, (( q45 ) = ( queue_241 ))).
% 10.43/2.43 thf(zip_derived_cl352, plain, (((q45) = (queue_241))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp342])).
% 10.43/2.43 thf(zip_derived_cl389, plain,
% 10.43/2.43 (((q45) = (store @ queue_239 @ tail @ index_240))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl352])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1038, plain, (((select @ q45 @ tail) = (index_240))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl389, zip_derived_cl0])).
% 10.43/2.43 thf(hyp154, axiom, (( index_243 ) = ( select @ q45 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl164, plain, (((index_243) = (select @ q45 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp154])).
% 10.43/2.43 thf(zip_derived_cl1040, plain, (((index_243) = (index_240))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1038, zip_derived_cl164])).
% 10.43/2.43 thf(zip_derived_cl1265, plain, (((p @ index_243) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl537, zip_derived_cl1040])).
% 10.43/2.43 thf(zip_derived_cl1656, plain, (((index_237) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1290, zip_derived_cl1646, zip_derived_cl1265])).
% 10.43/2.43 thf(hyp150, axiom, (( index_234 ) = ( s @ index_231 ))).
% 10.43/2.43 thf(zip_derived_cl160, plain, (((index_234) = (s @ index_231))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp150])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl529, plain, (((p @ index_234) = (index_231))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl5])).
% 10.43/2.43 thf(hyp254, axiom,
% 10.43/2.43 (( queue_235 ) = ( store @ queue_233 @ tail @ index_234 ))).
% 10.43/2.43 thf(zip_derived_cl264, plain,
% 10.43/2.43 (((queue_235) = (store @ queue_233 @ tail @ index_234))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp254])).
% 10.43/2.43 thf(hyp341, axiom, (( q44 ) = ( queue_235 ))).
% 10.43/2.43 thf(zip_derived_cl351, plain, (((q44) = (queue_235))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp341])).
% 10.43/2.43 thf(zip_derived_cl388, plain,
% 10.43/2.43 (((q44) = (store @ queue_233 @ tail @ index_234))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl351])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1029, plain, (((select @ q44 @ tail) = (index_234))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl388, zip_derived_cl0])).
% 10.43/2.43 thf(hyp151, axiom, (( index_237 ) = ( select @ q44 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl161, plain, (((index_237) = (select @ q44 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp151])).
% 10.43/2.43 thf(zip_derived_cl1031, plain, (((index_237) = (index_234))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1029, zip_derived_cl161])).
% 10.43/2.43 thf(zip_derived_cl1259, plain, (((p @ index_237) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl529, zip_derived_cl1031])).
% 10.43/2.43 thf(zip_derived_cl1661, plain, (((index_231) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1284, zip_derived_cl1656, zip_derived_cl1259])).
% 10.43/2.43 thf(zip_derived_cl1259, plain, (((p @ index_237) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl529, zip_derived_cl1031])).
% 10.43/2.43 thf(zip_derived_cl1265, plain, (((p @ index_243) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl537, zip_derived_cl1040])).
% 10.43/2.43 thf(zip_derived_cl1272, plain, (((p @ index_249) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl541, zip_derived_cl1048])).
% 10.43/2.43 thf(zip_derived_cl1661, plain, (((index_231) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1284, zip_derived_cl1656, zip_derived_cl1259])).
% 10.43/2.43 thf(hyp148, axiom, (( index_228 ) = ( s @ index_225 ))).
% 10.43/2.43 thf(zip_derived_cl158, plain, (((index_228) = (s @ index_225))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp148])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl525, plain, (((p @ index_228) = (index_225))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl5])).
% 10.43/2.43 thf(hyp251, axiom,
% 10.43/2.43 (( queue_229 ) = ( store @ queue_227 @ tail @ index_228 ))).
% 10.43/2.43 thf(zip_derived_cl261, plain,
% 10.43/2.43 (((queue_229) = (store @ queue_227 @ tail @ index_228))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp251])).
% 10.43/2.43 thf(hyp340, axiom, (( q43 ) = ( queue_229 ))).
% 10.43/2.43 thf(zip_derived_cl350, plain, (((q43) = (queue_229))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp340])).
% 10.43/2.43 thf(zip_derived_cl387, plain,
% 10.43/2.43 (((q43) = (store @ queue_227 @ tail @ index_228))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl261, zip_derived_cl350])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1026, plain, (((select @ q43 @ tail) = (index_228))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl0])).
% 10.43/2.43 thf(hyp149, axiom, (( index_231 ) = ( select @ q43 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl159, plain, (((index_231) = (select @ q43 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp149])).
% 10.43/2.43 thf(zip_derived_cl1028, plain, (((index_231) = (index_228))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1026, zip_derived_cl159])).
% 10.43/2.43 thf(zip_derived_cl1253, plain, (((p @ index_231) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl525, zip_derived_cl1028])).
% 10.43/2.43 thf(zip_derived_cl1669, plain, (((index_225) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1272, zip_derived_cl1661, zip_derived_cl1253])).
% 10.43/2.43 thf(hyp146, axiom, (( index_222 ) = ( s @ index_219 ))).
% 10.43/2.43 thf(zip_derived_cl156, plain, (((index_222) = (s @ index_219))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp146])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl521, plain, (((p @ index_222) = (index_219))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl5])).
% 10.43/2.43 thf(hyp249, axiom,
% 10.43/2.43 (( queue_223 ) = ( store @ queue_221 @ tail @ index_222 ))).
% 10.43/2.43 thf(zip_derived_cl259, plain,
% 10.43/2.43 (((queue_223) = (store @ queue_221 @ tail @ index_222))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp249])).
% 10.43/2.43 thf(hyp339, axiom, (( q42 ) = ( queue_223 ))).
% 10.43/2.43 thf(zip_derived_cl349, plain, (((q42) = (queue_223))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp339])).
% 10.43/2.43 thf(zip_derived_cl386, plain,
% 10.43/2.43 (((q42) = (store @ queue_221 @ tail @ index_222))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl349])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1023, plain, (((select @ q42 @ tail) = (index_222))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl0])).
% 10.43/2.43 thf(hyp147, axiom, (( index_225 ) = ( select @ q42 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl157, plain, (((index_225) = (select @ q42 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp147])).
% 10.43/2.43 thf(zip_derived_cl1025, plain, (((index_225) = (index_222))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1023, zip_derived_cl157])).
% 10.43/2.43 thf(zip_derived_cl1247, plain, (((p @ index_225) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl521, zip_derived_cl1025])).
% 10.43/2.43 thf(zip_derived_cl1677, plain, (((index_219) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1265, zip_derived_cl1669, zip_derived_cl1247])).
% 10.43/2.43 thf(hyp144, axiom, (( index_216 ) = ( s @ index_213 ))).
% 10.43/2.43 thf(zip_derived_cl154, plain, (((index_216) = (s @ index_213))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp144])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl517, plain, (((p @ index_216) = (index_213))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl5])).
% 10.43/2.43 thf(hyp247, axiom,
% 10.43/2.43 (( queue_217 ) = ( store @ queue_215 @ tail @ index_216 ))).
% 10.43/2.43 thf(zip_derived_cl257, plain,
% 10.43/2.43 (((queue_217) = (store @ queue_215 @ tail @ index_216))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp247])).
% 10.43/2.43 thf(hyp338, axiom, (( q41 ) = ( queue_217 ))).
% 10.43/2.43 thf(zip_derived_cl348, plain, (((q41) = (queue_217))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp338])).
% 10.43/2.43 thf(zip_derived_cl385, plain,
% 10.43/2.43 (((q41) = (store @ queue_215 @ tail @ index_216))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl348])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1020, plain, (((select @ q41 @ tail) = (index_216))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl385, zip_derived_cl0])).
% 10.43/2.43 thf(hyp145, axiom, (( index_219 ) = ( select @ q41 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl155, plain, (((index_219) = (select @ q41 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp145])).
% 10.43/2.43 thf(zip_derived_cl1022, plain, (((index_219) = (index_216))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1020, zip_derived_cl155])).
% 10.43/2.43 thf(zip_derived_cl1241, plain, (((p @ index_219) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl517, zip_derived_cl1022])).
% 10.43/2.43 thf(zip_derived_cl1686, plain, (((index_213) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1259, zip_derived_cl1677, zip_derived_cl1241])).
% 10.43/2.43 thf(zip_derived_cl1698, plain, (((index_213) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1661, zip_derived_cl1686])).
% 10.43/2.43 thf(zip_derived_cl1241, plain, (((p @ index_219) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl517, zip_derived_cl1022])).
% 10.43/2.43 thf(zip_derived_cl1247, plain, (((p @ index_225) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl521, zip_derived_cl1025])).
% 10.43/2.43 thf(zip_derived_cl1253, plain, (((p @ index_231) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl525, zip_derived_cl1028])).
% 10.43/2.43 thf(zip_derived_cl1686, plain, (((index_213) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1259, zip_derived_cl1677, zip_derived_cl1241])).
% 10.43/2.43 thf(hyp142, axiom, (( index_210 ) = ( s @ index_207 ))).
% 10.43/2.43 thf(zip_derived_cl152, plain, (((index_210) = (s @ index_207))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp142])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl513, plain, (((p @ index_210) = (index_207))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl5])).
% 10.43/2.43 thf(hyp245, axiom,
% 10.43/2.43 (( queue_211 ) = ( store @ queue_209 @ tail @ index_210 ))).
% 10.43/2.43 thf(zip_derived_cl255, plain,
% 10.43/2.43 (((queue_211) = (store @ queue_209 @ tail @ index_210))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp245])).
% 10.43/2.43 thf(hyp337, axiom, (( q40 ) = ( queue_211 ))).
% 10.43/2.43 thf(zip_derived_cl347, plain, (((q40) = (queue_211))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp337])).
% 10.43/2.43 thf(zip_derived_cl384, plain,
% 10.43/2.43 (((q40) = (store @ queue_209 @ tail @ index_210))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl255, zip_derived_cl347])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1017, plain, (((select @ q40 @ tail) = (index_210))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl0])).
% 10.43/2.43 thf(hyp143, axiom, (( index_213 ) = ( select @ q40 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl153, plain, (((index_213) = (select @ q40 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp143])).
% 10.43/2.43 thf(zip_derived_cl1019, plain, (((index_213) = (index_210))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1017, zip_derived_cl153])).
% 10.43/2.43 thf(zip_derived_cl1235, plain, (((p @ index_213) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl513, zip_derived_cl1019])).
% 10.43/2.43 thf(zip_derived_cl1695, plain, (((index_207) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1253, zip_derived_cl1686, zip_derived_cl1235])).
% 10.43/2.43 thf(hyp137, axiom, (( index_198 ) = ( s @ index_195 ))).
% 10.43/2.43 thf(zip_derived_cl147, plain, (((index_198) = (s @ index_195))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp137])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl505, plain, (((p @ index_198) = (index_195))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl5])).
% 10.43/2.43 thf(hyp241, axiom,
% 10.43/2.43 (( queue_199 ) = ( store @ queue_197 @ tail @ index_198 ))).
% 10.43/2.43 thf(zip_derived_cl251, plain,
% 10.43/2.43 (((queue_199) = (store @ queue_197 @ tail @ index_198))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp241])).
% 10.43/2.43 thf(hyp335, axiom, (( q39 ) = ( queue_199 ))).
% 10.43/2.43 thf(zip_derived_cl345, plain, (((q39) = (queue_199))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp335])).
% 10.43/2.43 thf(zip_derived_cl382, plain,
% 10.43/2.43 (((q39) = (store @ queue_197 @ tail @ index_198))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl251, zip_derived_cl345])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1006, plain, (((select @ q39 @ tail) = (index_198))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl0])).
% 10.43/2.43 thf(hyp140, axiom, (( index_207 ) = ( select @ q39 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl150, plain, (((index_207) = (select @ q39 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp140])).
% 10.43/2.43 thf(zip_derived_cl1008, plain, (((index_207) = (index_198))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1006, zip_derived_cl150])).
% 10.43/2.43 thf(zip_derived_cl1223, plain, (((p @ index_207) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl505, zip_derived_cl1008])).
% 10.43/2.43 thf(zip_derived_cl1706, plain, (((index_195) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1247, zip_derived_cl1695, zip_derived_cl1223])).
% 10.43/2.43 thf(hyp135, axiom, (( index_192 ) = ( s @ index_189 ))).
% 10.43/2.43 thf(zip_derived_cl145, plain, (((index_192) = (s @ index_189))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp135])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl501, plain, (((p @ index_192) = (index_189))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl5])).
% 10.43/2.43 thf(hyp239, axiom,
% 10.43/2.43 (( queue_193 ) = ( store @ queue_191 @ tail @ index_192 ))).
% 10.43/2.43 thf(zip_derived_cl249, plain,
% 10.43/2.43 (((queue_193) = (store @ queue_191 @ tail @ index_192))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp239])).
% 10.43/2.43 thf(hyp334, axiom, (( q38 ) = ( queue_193 ))).
% 10.43/2.43 thf(zip_derived_cl344, plain, (((q38) = (queue_193))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp334])).
% 10.43/2.43 thf(zip_derived_cl381, plain,
% 10.43/2.43 (((q38) = (store @ queue_191 @ tail @ index_192))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl249, zip_derived_cl344])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1003, plain, (((select @ q38 @ tail) = (index_192))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl381, zip_derived_cl0])).
% 10.43/2.43 thf(hyp136, axiom, (( index_195 ) = ( select @ q38 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl146, plain, (((index_195) = (select @ q38 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp136])).
% 10.43/2.43 thf(zip_derived_cl1005, plain, (((index_195) = (index_192))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1003, zip_derived_cl146])).
% 10.43/2.43 thf(zip_derived_cl1217, plain, (((p @ index_195) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl501, zip_derived_cl1005])).
% 10.43/2.43 thf(zip_derived_cl1717, plain, (((index_189) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1241, zip_derived_cl1706, zip_derived_cl1217])).
% 10.43/2.43 thf(zip_derived_cl1733, plain, (((index_189) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1698, zip_derived_cl1717])).
% 10.43/2.43 thf(zip_derived_cl1217, plain, (((p @ index_195) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl501, zip_derived_cl1005])).
% 10.43/2.43 thf(zip_derived_cl1223, plain, (((p @ index_207) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl505, zip_derived_cl1008])).
% 10.43/2.43 thf(zip_derived_cl1235, plain, (((p @ index_213) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl513, zip_derived_cl1019])).
% 10.43/2.43 thf(zip_derived_cl1717, plain, (((index_189) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1241, zip_derived_cl1706, zip_derived_cl1217])).
% 10.43/2.43 thf(hyp133, axiom, (( index_186 ) = ( s @ index_183 ))).
% 10.43/2.43 thf(zip_derived_cl143, plain, (((index_186) = (s @ index_183))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp133])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl495, plain, (((p @ index_186) = (index_183))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl5])).
% 10.43/2.43 thf(hyp236, axiom,
% 10.43/2.43 (( queue_187 ) = ( store @ queue_185 @ tail @ index_186 ))).
% 10.43/2.43 thf(zip_derived_cl246, plain,
% 10.43/2.43 (((queue_187) = (store @ queue_185 @ tail @ index_186))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp236])).
% 10.43/2.43 thf(hyp333, axiom, (( q37 ) = ( queue_187 ))).
% 10.43/2.43 thf(zip_derived_cl343, plain, (((q37) = (queue_187))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp333])).
% 10.43/2.43 thf(zip_derived_cl379, plain,
% 10.43/2.43 (((q37) = (store @ queue_185 @ tail @ index_186))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl343])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl997, plain, (((select @ q37 @ tail) = (index_186))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl0])).
% 10.43/2.43 thf(hyp134, axiom, (( index_189 ) = ( select @ q37 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl144, plain, (((index_189) = (select @ q37 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp134])).
% 10.43/2.43 thf(zip_derived_cl999, plain, (((index_189) = (index_186))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl997, zip_derived_cl144])).
% 10.43/2.43 thf(zip_derived_cl1205, plain, (((p @ index_189) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl495, zip_derived_cl999])).
% 10.43/2.43 thf(zip_derived_cl1728, plain, (((index_183) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1235, zip_derived_cl1717, zip_derived_cl1205])).
% 10.43/2.43 thf(hyp131, axiom, (( index_180 ) = ( s @ index_177 ))).
% 10.43/2.43 thf(zip_derived_cl141, plain, (((index_180) = (s @ index_177))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp131])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl491, plain, (((p @ index_180) = (index_177))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl5])).
% 10.43/2.43 thf(hyp234, axiom,
% 10.43/2.43 (( queue_181 ) = ( store @ queue_179 @ tail @ index_180 ))).
% 10.43/2.43 thf(zip_derived_cl244, plain,
% 10.43/2.43 (((queue_181) = (store @ queue_179 @ tail @ index_180))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp234])).
% 10.43/2.43 thf(hyp332, axiom, (( q36 ) = ( queue_181 ))).
% 10.43/2.43 thf(zip_derived_cl342, plain, (((q36) = (queue_181))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp332])).
% 10.43/2.43 thf(zip_derived_cl378, plain,
% 10.43/2.43 (((q36) = (store @ queue_179 @ tail @ index_180))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl244, zip_derived_cl342])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl994, plain, (((select @ q36 @ tail) = (index_180))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl378, zip_derived_cl0])).
% 10.43/2.43 thf(hyp132, axiom, (( index_183 ) = ( select @ q36 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl142, plain, (((index_183) = (select @ q36 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp132])).
% 10.43/2.43 thf(zip_derived_cl996, plain, (((index_183) = (index_180))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl994, zip_derived_cl142])).
% 10.43/2.43 thf(zip_derived_cl1199, plain, (((p @ index_183) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl491, zip_derived_cl996])).
% 10.43/2.43 thf(zip_derived_cl1741, plain, (((index_177) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1223, zip_derived_cl1728, zip_derived_cl1199])).
% 10.43/2.43 thf(hyp128, axiom, (( index_174 ) = ( s @ index_171 ))).
% 10.43/2.43 thf(zip_derived_cl138, plain, (((index_174) = (s @ index_171))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp128])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl483, plain, (((p @ index_174) = (index_171))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl5])).
% 10.43/2.43 thf(hyp232, axiom,
% 10.43/2.43 (( queue_175 ) = ( store @ queue_173 @ tail @ index_174 ))).
% 10.43/2.43 thf(zip_derived_cl242, plain,
% 10.43/2.43 (((queue_175) = (store @ queue_173 @ tail @ index_174))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp232])).
% 10.43/2.43 thf(hyp331, axiom, (( q35 ) = ( queue_175 ))).
% 10.43/2.43 thf(zip_derived_cl341, plain, (((q35) = (queue_175))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp331])).
% 10.43/2.43 thf(zip_derived_cl377, plain,
% 10.43/2.43 (((q35) = (store @ queue_173 @ tail @ index_174))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl341])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl985, plain, (((select @ q35 @ tail) = (index_174))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl377, zip_derived_cl0])).
% 10.43/2.43 thf(hyp129, axiom, (( index_177 ) = ( select @ q35 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl139, plain, (((index_177) = (select @ q35 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp129])).
% 10.43/2.43 thf(zip_derived_cl987, plain, (((index_177) = (index_174))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl139])).
% 10.43/2.43 thf(zip_derived_cl1193, plain, (((p @ index_177) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl483, zip_derived_cl987])).
% 10.43/2.43 thf(zip_derived_cl1754, plain, (((index_171) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1217, zip_derived_cl1741, zip_derived_cl1193])).
% 10.43/2.43 thf(zip_derived_cl1775, plain, (((index_171) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1733, zip_derived_cl1754])).
% 10.43/2.43 thf(zip_derived_cl1193, plain, (((p @ index_177) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl483, zip_derived_cl987])).
% 10.43/2.43 thf(zip_derived_cl1199, plain, (((p @ index_183) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl491, zip_derived_cl996])).
% 10.43/2.43 thf(zip_derived_cl1205, plain, (((p @ index_189) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl495, zip_derived_cl999])).
% 10.43/2.43 thf(zip_derived_cl1754, plain, (((index_171) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1217, zip_derived_cl1741, zip_derived_cl1193])).
% 10.43/2.43 thf(hyp126, axiom, (( index_168 ) = ( s @ index_165 ))).
% 10.43/2.43 thf(zip_derived_cl136, plain, (((index_168) = (s @ index_165))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp126])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl479, plain, (((p @ index_168) = (index_165))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl5])).
% 10.43/2.43 thf(hyp229, axiom,
% 10.43/2.43 (( queue_169 ) = ( store @ queue_167 @ tail @ index_168 ))).
% 10.43/2.43 thf(zip_derived_cl239, plain,
% 10.43/2.43 (((queue_169) = (store @ queue_167 @ tail @ index_168))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp229])).
% 10.43/2.43 thf(hyp330, axiom, (( q34 ) = ( queue_169 ))).
% 10.43/2.43 thf(zip_derived_cl340, plain, (((q34) = (queue_169))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp330])).
% 10.43/2.43 thf(zip_derived_cl376, plain,
% 10.43/2.43 (((q34) = (store @ queue_167 @ tail @ index_168))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl340])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl981, plain, (((select @ q34 @ tail) = (index_168))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl376, zip_derived_cl0])).
% 10.43/2.43 thf(hyp127, axiom, (( index_171 ) = ( select @ q34 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl137, plain, (((index_171) = (select @ q34 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp127])).
% 10.43/2.43 thf(zip_derived_cl983, plain, (((index_171) = (index_168))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl981, zip_derived_cl137])).
% 10.43/2.43 thf(zip_derived_cl1187, plain, (((p @ index_171) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl479, zip_derived_cl983])).
% 10.43/2.43 thf(zip_derived_cl1768, plain, (((index_165) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1205, zip_derived_cl1754, zip_derived_cl1187])).
% 10.43/2.43 thf(hyp124, axiom, (( index_162 ) = ( s @ index_159 ))).
% 10.43/2.43 thf(zip_derived_cl134, plain, (((index_162) = (s @ index_159))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp124])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl475, plain, (((p @ index_162) = (index_159))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl5])).
% 10.43/2.43 thf(hyp227, axiom,
% 10.43/2.43 (( queue_163 ) = ( store @ queue_161 @ tail @ index_162 ))).
% 10.43/2.43 thf(zip_derived_cl237, plain,
% 10.43/2.43 (((queue_163) = (store @ queue_161 @ tail @ index_162))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp227])).
% 10.43/2.43 thf(hyp329, axiom, (( q33 ) = ( queue_163 ))).
% 10.43/2.43 thf(zip_derived_cl339, plain, (((q33) = (queue_163))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp329])).
% 10.43/2.43 thf(zip_derived_cl375, plain,
% 10.43/2.43 (((q33) = (store @ queue_161 @ tail @ index_162))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl339])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl978, plain, (((select @ q33 @ tail) = (index_162))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl375, zip_derived_cl0])).
% 10.43/2.43 thf(hyp125, axiom, (( index_165 ) = ( select @ q33 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl135, plain, (((index_165) = (select @ q33 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp125])).
% 10.43/2.43 thf(zip_derived_cl980, plain, (((index_165) = (index_162))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl978, zip_derived_cl135])).
% 10.43/2.43 thf(zip_derived_cl1119, plain, (((p @ index_165) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl475, zip_derived_cl980])).
% 10.43/2.43 thf(zip_derived_cl1784, plain, (((index_159) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1199, zip_derived_cl1768, zip_derived_cl1119])).
% 10.43/2.43 thf(hyp122, axiom, (( index_156 ) = ( s @ index_153 ))).
% 10.43/2.43 thf(zip_derived_cl132, plain, (((index_156) = (s @ index_153))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp122])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl471, plain, (((p @ index_156) = (index_153))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl5])).
% 10.43/2.43 thf(hyp225, axiom,
% 10.43/2.43 (( queue_157 ) = ( store @ queue_155 @ tail @ index_156 ))).
% 10.43/2.43 thf(zip_derived_cl235, plain,
% 10.43/2.43 (((queue_157) = (store @ queue_155 @ tail @ index_156))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp225])).
% 10.43/2.43 thf(hyp328, axiom, (( q32 ) = ( queue_157 ))).
% 10.43/2.43 thf(zip_derived_cl338, plain, (((q32) = (queue_157))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp328])).
% 10.43/2.43 thf(zip_derived_cl374, plain,
% 10.43/2.43 (((q32) = (store @ queue_155 @ tail @ index_156))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl338])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl975, plain, (((select @ q32 @ tail) = (index_156))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl374, zip_derived_cl0])).
% 10.43/2.43 thf(hyp123, axiom, (( index_159 ) = ( select @ q32 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl133, plain, (((index_159) = (select @ q32 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp123])).
% 10.43/2.43 thf(zip_derived_cl977, plain, (((index_159) = (index_156))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl975, zip_derived_cl133])).
% 10.43/2.43 thf(zip_derived_cl1095, plain, (((p @ index_159) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl471, zip_derived_cl977])).
% 10.43/2.43 thf(zip_derived_cl1802, plain, (((index_153) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1193, zip_derived_cl1784, zip_derived_cl1095])).
% 10.43/2.43 thf(zip_derived_cl1828, plain, (((index_153) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1775, zip_derived_cl1802])).
% 10.43/2.43 thf(zip_derived_cl1095, plain, (((p @ index_159) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl471, zip_derived_cl977])).
% 10.43/2.43 thf(zip_derived_cl1119, plain, (((p @ index_165) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl475, zip_derived_cl980])).
% 10.43/2.43 thf(zip_derived_cl1187, plain, (((p @ index_171) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl479, zip_derived_cl983])).
% 10.43/2.43 thf(zip_derived_cl1802, plain, (((index_153) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1193, zip_derived_cl1784, zip_derived_cl1095])).
% 10.43/2.43 thf(hyp120, axiom, (( index_150 ) = ( s @ index_147 ))).
% 10.43/2.43 thf(zip_derived_cl130, plain, (((index_150) = (s @ index_147))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp120])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl467, plain, (((p @ index_150) = (index_147))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl5])).
% 10.43/2.43 thf(hyp223, axiom,
% 10.43/2.43 (( queue_151 ) = ( store @ queue_149 @ tail @ index_150 ))).
% 10.43/2.43 thf(zip_derived_cl233, plain,
% 10.43/2.43 (((queue_151) = (store @ queue_149 @ tail @ index_150))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp223])).
% 10.43/2.43 thf(hyp327, axiom, (( q31 ) = ( queue_151 ))).
% 10.43/2.43 thf(zip_derived_cl337, plain, (((q31) = (queue_151))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp327])).
% 10.43/2.43 thf(zip_derived_cl373, plain,
% 10.43/2.43 (((q31) = (store @ queue_149 @ tail @ index_150))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl233, zip_derived_cl337])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl972, plain, (((select @ q31 @ tail) = (index_150))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl0])).
% 10.43/2.43 thf(hyp121, axiom, (( index_153 ) = ( select @ q31 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl131, plain, (((index_153) = (select @ q31 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp121])).
% 10.43/2.43 thf(zip_derived_cl974, plain, (((index_153) = (index_150))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl972, zip_derived_cl131])).
% 10.43/2.43 thf(zip_derived_cl1086, plain, (((p @ index_153) = (index_147))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl467, zip_derived_cl974])).
% 10.43/2.43 thf(zip_derived_cl1819, plain, (((index_147) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1187, zip_derived_cl1802, zip_derived_cl1086])).
% 10.43/2.43 thf(hyp117, axiom, (( index_144 ) = ( s @ index_141 ))).
% 10.43/2.43 thf(zip_derived_cl127, plain, (((index_144) = (s @ index_141))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp117])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl463, plain, (((p @ index_144) = (index_141))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl5])).
% 10.43/2.43 thf(hyp221, axiom,
% 10.43/2.43 (( queue_145 ) = ( store @ queue_143 @ tail @ index_144 ))).
% 10.43/2.43 thf(zip_derived_cl231, plain,
% 10.43/2.43 (((queue_145) = (store @ queue_143 @ tail @ index_144))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp221])).
% 10.43/2.43 thf(hyp326, axiom, (( q30 ) = ( queue_145 ))).
% 10.43/2.43 thf(zip_derived_cl336, plain, (((q30) = (queue_145))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp326])).
% 10.43/2.43 thf(zip_derived_cl372, plain,
% 10.43/2.43 (((q30) = (store @ queue_143 @ tail @ index_144))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl231, zip_derived_cl336])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl969, plain, (((select @ q30 @ tail) = (index_144))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl0])).
% 10.43/2.43 thf(hyp118, axiom, (( index_147 ) = ( select @ q30 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl128, plain, (((index_147) = (select @ q30 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp118])).
% 10.43/2.43 thf(zip_derived_cl971, plain, (((index_147) = (index_144))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl969, zip_derived_cl128])).
% 10.43/2.43 thf(zip_derived_cl1065, plain, (((p @ index_147) = (index_141))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl463, zip_derived_cl971])).
% 10.43/2.43 thf(zip_derived_cl1838, plain, (((index_141) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1119, zip_derived_cl1819, zip_derived_cl1065])).
% 10.43/2.43 thf(hyp113, axiom, (( index_132 ) = ( s @ index_129 ))).
% 10.43/2.43 thf(zip_derived_cl123, plain, (((index_132) = (s @ index_129))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp113])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl455, plain, (((p @ index_132) = (index_129))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl5])).
% 10.43/2.43 thf(hyp217, axiom,
% 10.43/2.43 (( queue_133 ) = ( store @ queue_131 @ tail @ index_132 ))).
% 10.43/2.43 thf(zip_derived_cl227, plain,
% 10.43/2.43 (((queue_133) = (store @ queue_131 @ tail @ index_132))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp217])).
% 10.43/2.43 thf(hyp324, axiom, (( q29 ) = ( queue_133 ))).
% 10.43/2.43 thf(zip_derived_cl334, plain, (((q29) = (queue_133))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp324])).
% 10.43/2.43 thf(zip_derived_cl370, plain,
% 10.43/2.43 (((q29) = (store @ queue_131 @ tail @ index_132))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl227, zip_derived_cl334])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl952, plain, (((select @ q29 @ tail) = (index_132))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl370, zip_derived_cl0])).
% 10.43/2.43 thf(hyp116, axiom, (( index_141 ) = ( select @ q29 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl126, plain, (((index_141) = (select @ q29 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp116])).
% 10.43/2.43 thf(zip_derived_cl954, plain, (((index_141) = (index_132))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl952, zip_derived_cl126])).
% 10.43/2.43 thf(zip_derived_cl1034, plain, (((p @ index_141) = (index_129))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl455, zip_derived_cl954])).
% 10.43/2.43 thf(zip_derived_cl1858, plain, (((index_129) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1095, zip_derived_cl1838, zip_derived_cl1034])).
% 10.43/2.43 thf(zip_derived_cl1888, plain, (((index_129) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1828, zip_derived_cl1858])).
% 10.43/2.43 thf(zip_derived_cl1034, plain, (((p @ index_141) = (index_129))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl455, zip_derived_cl954])).
% 10.43/2.43 thf(zip_derived_cl1065, plain, (((p @ index_147) = (index_141))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl463, zip_derived_cl971])).
% 10.43/2.43 thf(zip_derived_cl1086, plain, (((p @ index_153) = (index_147))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl467, zip_derived_cl974])).
% 10.43/2.43 thf(zip_derived_cl1858, plain, (((index_129) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1095, zip_derived_cl1838, zip_derived_cl1034])).
% 10.43/2.43 thf(hyp111, axiom, (( index_126 ) = ( s @ index_123 ))).
% 10.43/2.43 thf(zip_derived_cl121, plain, (((index_126) = (s @ index_123))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp111])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl451, plain, (((p @ index_126) = (index_123))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl5])).
% 10.43/2.43 thf(hyp214, axiom,
% 10.43/2.43 (( queue_127 ) = ( store @ queue_125 @ tail @ index_126 ))).
% 10.43/2.43 thf(zip_derived_cl224, plain,
% 10.43/2.43 (((queue_127) = (store @ queue_125 @ tail @ index_126))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp214])).
% 10.43/2.43 thf(hyp323, axiom, (( q28 ) = ( queue_127 ))).
% 10.43/2.43 thf(zip_derived_cl333, plain, (((q28) = (queue_127))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp323])).
% 10.43/2.43 thf(zip_derived_cl368, plain,
% 10.43/2.43 (((q28) = (store @ queue_125 @ tail @ index_126))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl224, zip_derived_cl333])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl946, plain, (((select @ q28 @ tail) = (index_126))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl368, zip_derived_cl0])).
% 10.43/2.43 thf(hyp112, axiom, (( index_129 ) = ( select @ q28 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl122, plain, (((index_129) = (select @ q28 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp112])).
% 10.43/2.43 thf(zip_derived_cl948, plain, (((index_129) = (index_126))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl946, zip_derived_cl122])).
% 10.43/2.43 thf(zip_derived_cl990, plain, (((p @ index_129) = (index_123))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl948])).
% 10.43/2.43 thf(zip_derived_cl1877, plain, (((index_123) = (index_147))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1086, zip_derived_cl1858, zip_derived_cl990])).
% 10.43/2.43 thf(hyp109, axiom, (( index_120 ) = ( s @ index_117 ))).
% 10.43/2.43 thf(zip_derived_cl119, plain, (((index_120) = (s @ index_117))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp109])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl445, plain, (((p @ index_120) = (index_117))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl5])).
% 10.43/2.43 thf(hyp212, axiom,
% 10.43/2.43 (( queue_121 ) = ( store @ queue_119 @ tail @ index_120 ))).
% 10.43/2.43 thf(zip_derived_cl222, plain,
% 10.43/2.43 (((queue_121) = (store @ queue_119 @ tail @ index_120))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp212])).
% 10.43/2.43 thf(hyp322, axiom, (( q27 ) = ( queue_121 ))).
% 10.43/2.43 thf(zip_derived_cl332, plain, (((q27) = (queue_121))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp322])).
% 10.43/2.43 thf(zip_derived_cl367, plain,
% 10.43/2.43 (((q27) = (store @ queue_119 @ tail @ index_120))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl332])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl943, plain, (((select @ q27 @ tail) = (index_120))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 10.43/2.43 thf(hyp110, axiom, (( index_123 ) = ( select @ q27 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl120, plain, (((index_123) = (select @ q27 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp110])).
% 10.43/2.43 thf(zip_derived_cl945, plain, (((index_123) = (index_120))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl943, zip_derived_cl120])).
% 10.43/2.43 thf(zip_derived_cl966, plain, (((p @ index_123) = (index_117))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl445, zip_derived_cl945])).
% 10.43/2.43 thf(zip_derived_cl1898, plain, (((index_117) = (index_141))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1065, zip_derived_cl1877, zip_derived_cl966])).
% 10.43/2.43 thf(hyp106, axiom, (( index_114 ) = ( s @ index_111 ))).
% 10.43/2.43 thf(zip_derived_cl116, plain, (((index_114) = (s @ index_111))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp106])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl437, plain, (((p @ index_114) = (index_111))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl5])).
% 10.43/2.43 thf(hyp210, axiom,
% 10.43/2.43 (( queue_115 ) = ( store @ queue_113 @ tail @ index_114 ))).
% 10.43/2.43 thf(zip_derived_cl220, plain,
% 10.43/2.43 (((queue_115) = (store @ queue_113 @ tail @ index_114))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp210])).
% 10.43/2.43 thf(hyp321, axiom, (( q26 ) = ( queue_115 ))).
% 10.43/2.43 thf(zip_derived_cl331, plain, (((q26) = (queue_115))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp321])).
% 10.43/2.43 thf(zip_derived_cl366, plain,
% 10.43/2.43 (((q26) = (store @ queue_113 @ tail @ index_114))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl331])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl940, plain, (((select @ q26 @ tail) = (index_114))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl0])).
% 10.43/2.43 thf(hyp107, axiom, (( index_117 ) = ( select @ q26 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl117, plain, (((index_117) = (select @ q26 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp107])).
% 10.43/2.43 thf(zip_derived_cl942, plain, (((index_117) = (index_114))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl940, zip_derived_cl117])).
% 10.43/2.43 thf(zip_derived_cl957, plain, (((p @ index_117) = (index_111))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl437, zip_derived_cl942])).
% 10.43/2.43 thf(zip_derived_cl1920, plain, (((index_111) = (index_129))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1034, zip_derived_cl1898, zip_derived_cl957])).
% 10.43/2.43 thf(zip_derived_cl1955, plain, (((index_111) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1888, zip_derived_cl1920])).
% 10.43/2.43 thf(zip_derived_cl2751, plain,
% 10.43/2.43 (((q49) = (store @ queue_263 @ tail @ index_111))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1645, zip_derived_cl1955])).
% 10.43/2.43 thf(a2, axiom,
% 10.43/2.43 (( ( I ) = ( J ) ) |
% 10.43/2.43 ( ( select @ ( store @ A @ I @ E ) @ J ) = ( select @ A @ J ) ))).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2753, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q49 @ X0) = (select @ queue_263 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2751, zip_derived_cl1])).
% 10.43/2.43 thf(hyp264, axiom, (( queue_263 ) = ( store @ q48 @ seq @ earray_262 ))).
% 10.43/2.43 thf(zip_derived_cl274, plain,
% 10.43/2.43 (((queue_263) = (store @ q48 @ seq @ earray_262))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp264])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl874, plain, (((select @ queue_263 @ seq) = (earray_262))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl0])).
% 10.43/2.43 thf(zip_derived_cl3377, plain,
% 10.43/2.43 ((((tail) = (seq)) | ((select @ q49 @ seq) = (earray_262)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2753, zip_derived_cl874])).
% 10.43/2.43 thf(tail_distinct_from_seq, axiom, (( tail ) != ( seq ))).
% 10.43/2.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl3378, plain, (((select @ q49 @ seq) = (earray_262))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3377, zip_derived_cl4])).
% 10.43/2.43 thf(zip_derived_cl3379, plain, (((earray_296) = (earray_262))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl3378])).
% 10.43/2.43 thf(zip_derived_cl3380, plain,
% 10.43/2.43 (((elem_298) = (select @ earray_262 @ index_297))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl3379])).
% 10.43/2.43 thf(zip_derived_cl2753, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q49 @ X0) = (select @ queue_263 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2751, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl274, plain,
% 10.43/2.43 (((queue_263) = (store @ q48 @ seq @ earray_262))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp264])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl875, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_263 @ X0) = (select @ q48 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3376, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q49 @ X0) = (select @ q48 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2753, zip_derived_cl875])).
% 10.43/2.43 thf(hyp173, axiom, (( index_297 ) = ( select @ q49 @ head ))).
% 10.43/2.43 thf(zip_derived_cl183, plain, (((index_297) = (select @ q49 @ head))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp173])).
% 10.43/2.43 thf(zip_derived_cl3748, plain,
% 10.43/2.43 ((((seq) = (head))
% 10.43/2.43 | ((tail) = (head))
% 10.43/2.43 | ((index_297) = (select @ q48 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3376, zip_derived_cl183])).
% 10.43/2.43 thf(head_distinct_from_tail, axiom, (( head ) != ( tail ))).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(head_distinct_from_seq, axiom, (( head ) != ( seq ))).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl3753, plain, (((index_297) = (select @ q48 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3748, zip_derived_cl2, zip_derived_cl3])).
% 10.43/2.43 thf(zip_derived_cl393, plain,
% 10.43/2.43 (((q48) = (store @ queue_257 @ tail @ index_258))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl355])).
% 10.43/2.43 thf(zip_derived_cl1057, plain, (((index_261) = (index_258))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1055, zip_derived_cl170])).
% 10.43/2.43 thf(zip_derived_cl1289, plain,
% 10.43/2.43 (((q48) = (store @ queue_257 @ tail @ index_261))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl1057])).
% 10.43/2.43 thf(zip_derived_cl1646, plain, (((index_243) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl555, zip_derived_cl1643, zip_derived_cl1272])).
% 10.43/2.43 thf(zip_derived_cl1669, plain, (((index_225) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1272, zip_derived_cl1661, zip_derived_cl1253])).
% 10.43/2.43 thf(zip_derived_cl1680, plain, (((index_225) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1646, zip_derived_cl1669])).
% 10.43/2.43 thf(zip_derived_cl1695, plain, (((index_207) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1253, zip_derived_cl1686, zip_derived_cl1235])).
% 10.43/2.43 thf(zip_derived_cl1711, plain, (((index_207) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1680, zip_derived_cl1695])).
% 10.43/2.43 thf(zip_derived_cl1728, plain, (((index_183) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1235, zip_derived_cl1717, zip_derived_cl1205])).
% 10.43/2.43 thf(zip_derived_cl1748, plain, (((index_183) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1711, zip_derived_cl1728])).
% 10.43/2.43 thf(zip_derived_cl1768, plain, (((index_165) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1205, zip_derived_cl1754, zip_derived_cl1187])).
% 10.43/2.43 thf(zip_derived_cl1793, plain, (((index_165) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1748, zip_derived_cl1768])).
% 10.43/2.43 thf(zip_derived_cl1819, plain, (((index_147) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1187, zip_derived_cl1802, zip_derived_cl1086])).
% 10.43/2.43 thf(zip_derived_cl1849, plain, (((index_147) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1793, zip_derived_cl1819])).
% 10.43/2.43 thf(zip_derived_cl1877, plain, (((index_123) = (index_147))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1086, zip_derived_cl1858, zip_derived_cl990])).
% 10.43/2.43 thf(zip_derived_cl1911, plain, (((index_123) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1849, zip_derived_cl1877])).
% 10.43/2.43 thf(zip_derived_cl990, plain, (((p @ index_129) = (index_123))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl451, zip_derived_cl948])).
% 10.43/2.43 thf(zip_derived_cl1920, plain, (((index_111) = (index_129))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1034, zip_derived_cl1898, zip_derived_cl957])).
% 10.43/2.43 thf(hyp104, axiom, (( index_108 ) = ( s @ index_105 ))).
% 10.43/2.43 thf(zip_derived_cl114, plain, (((index_108) = (s @ index_105))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp104])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl433, plain, (((p @ index_108) = (index_105))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl5])).
% 10.43/2.43 thf(hyp207, axiom,
% 10.43/2.43 (( queue_109 ) = ( store @ queue_107 @ tail @ index_108 ))).
% 10.43/2.43 thf(zip_derived_cl217, plain,
% 10.43/2.43 (((queue_109) = (store @ queue_107 @ tail @ index_108))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp207])).
% 10.43/2.43 thf(hyp320, axiom, (( q25 ) = ( queue_109 ))).
% 10.43/2.43 thf(zip_derived_cl330, plain, (((q25) = (queue_109))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp320])).
% 10.43/2.43 thf(zip_derived_cl365, plain,
% 10.43/2.43 (((q25) = (store @ queue_107 @ tail @ index_108))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl330])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl931, plain, (((select @ q25 @ tail) = (index_108))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl365, zip_derived_cl0])).
% 10.43/2.43 thf(hyp105, axiom, (( index_111 ) = ( select @ q25 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl115, plain, (((index_111) = (select @ q25 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp105])).
% 10.43/2.43 thf(zip_derived_cl933, plain, (((index_111) = (index_108))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl115])).
% 10.43/2.43 thf(zip_derived_cl936, plain, (((p @ index_111) = (index_105))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl433, zip_derived_cl933])).
% 10.43/2.43 thf(zip_derived_cl1942, plain, (((index_105) = (index_123))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl990, zip_derived_cl1920, zip_derived_cl936])).
% 10.43/2.43 thf(zip_derived_cl1979, plain, (((index_105) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1911, zip_derived_cl1942])).
% 10.43/2.43 thf(hyp130, axiom, (( index_18 ) = ( s @ index_15 ))).
% 10.43/2.43 thf(zip_derived_cl140, plain, (((index_18) = (s @ index_15))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp130])).
% 10.43/2.43 thf(hyp237, axiom, (( queue_19 ) = ( store @ queue_17 @ tail @ index_18 ))).
% 10.43/2.43 thf(zip_derived_cl247, plain,
% 10.43/2.43 (((queue_19) = (store @ queue_17 @ tail @ index_18))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp237])).
% 10.43/2.43 thf(hyp305, axiom, (( q11 ) = ( queue_19 ))).
% 10.43/2.43 thf(zip_derived_cl315, plain, (((q11) = (queue_19))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp305])).
% 10.43/2.43 thf(zip_derived_cl380, plain,
% 10.43/2.43 (((q11) = (store @ queue_17 @ tail @ index_18))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl315])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1000, plain, (((select @ q11 @ tail) = (index_18))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl380, zip_derived_cl0])).
% 10.43/2.43 thf(hyp141, axiom, (( index_21 ) = ( select @ q11 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl151, plain, (((index_21) = (select @ q11 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp141])).
% 10.43/2.43 thf(zip_derived_cl1002, plain, (((index_21) = (index_18))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1000, zip_derived_cl151])).
% 10.43/2.43 thf(zip_derived_cl1209, plain, (((index_21) = (s @ index_15))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl1002])).
% 10.43/2.43 thf(zip_derived_cl418, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 10.43/2.43 thf(zip_derived_cl1534, plain, (((p @ index_15) = (s @ index_21))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl1209, zip_derived_cl418])).
% 10.43/2.43 thf(hyp108, axiom, (( index_12 ) = ( s @ index_9 ))).
% 10.43/2.43 thf(zip_derived_cl118, plain, (((index_12) = (s @ index_9))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp108])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl441, plain, (((p @ index_12) = (index_9))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl5])).
% 10.43/2.43 thf(hyp215, axiom, (( queue_13 ) = ( store @ queue_11 @ tail @ index_12 ))).
% 10.43/2.43 thf(zip_derived_cl225, plain,
% 10.43/2.43 (((queue_13) = (store @ queue_11 @ tail @ index_12))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp215])).
% 10.43/2.43 thf(hyp304, axiom, (( q10 ) = ( queue_13 ))).
% 10.43/2.43 thf(zip_derived_cl314, plain, (((q10) = (queue_13))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp304])).
% 10.43/2.43 thf(zip_derived_cl369, plain,
% 10.43/2.43 (((q10) = (store @ queue_11 @ tail @ index_12))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl225, zip_derived_cl314])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl949, plain, (((select @ q10 @ tail) = (index_12))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl0])).
% 10.43/2.43 thf(hyp119, axiom, (( index_15 ) = ( select @ q10 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl129, plain, (((index_15) = (select @ q10 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp119])).
% 10.43/2.43 thf(zip_derived_cl951, plain, (((index_15) = (index_12))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl949, zip_derived_cl129])).
% 10.43/2.43 thf(zip_derived_cl1014, plain, (((p @ index_15) = (index_9))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl441, zip_derived_cl951])).
% 10.43/2.43 thf(zip_derived_cl1535, plain, (((index_9) = (s @ index_21))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1534, zip_derived_cl1014])).
% 10.43/2.43 thf(hyp201, axiom, (( index_96 ) = ( s @ index_93 ))).
% 10.43/2.43 thf(zip_derived_cl211, plain, (((index_96) = (s @ index_93))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp201])).
% 10.43/2.43 thf(hyp301, axiom, (( queue_97 ) = ( store @ queue_95 @ tail @ index_96 ))).
% 10.43/2.43 thf(zip_derived_cl311, plain,
% 10.43/2.43 (((queue_97) = (store @ queue_95 @ tail @ index_96))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp301])).
% 10.43/2.43 thf(hyp318, axiom, (( q23 ) = ( queue_97 ))).
% 10.43/2.43 thf(zip_derived_cl328, plain, (((q23) = (queue_97))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp318])).
% 10.43/2.43 thf(zip_derived_cl412, plain,
% 10.43/2.43 (((q23) = (store @ queue_95 @ tail @ index_96))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl311, zip_derived_cl328])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1135, plain, (((select @ q23 @ tail) = (index_96))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl412, zip_derived_cl0])).
% 10.43/2.43 thf(hyp202, axiom, (( index_99 ) = ( select @ q23 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl212, plain, (((index_99) = (select @ q23 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp202])).
% 10.43/2.43 thf(zip_derived_cl1137, plain, (((index_99) = (index_96))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1135, zip_derived_cl212])).
% 10.43/2.43 thf(zip_derived_cl1395, plain, (((index_99) = (s @ index_93))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl211, zip_derived_cl1137])).
% 10.43/2.43 thf(hyp199, axiom, (( index_90 ) = ( s @ index_87 ))).
% 10.43/2.43 thf(zip_derived_cl209, plain, (((index_90) = (s @ index_87))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp199])).
% 10.43/2.43 thf(hyp299, axiom, (( queue_91 ) = ( store @ queue_89 @ tail @ index_90 ))).
% 10.43/2.43 thf(zip_derived_cl309, plain,
% 10.43/2.43 (((queue_91) = (store @ queue_89 @ tail @ index_90))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp299])).
% 10.43/2.43 thf(hyp317, axiom, (( q22 ) = ( queue_91 ))).
% 10.43/2.43 thf(zip_derived_cl327, plain, (((q22) = (queue_91))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp317])).
% 10.43/2.43 thf(zip_derived_cl411, plain,
% 10.43/2.43 (((q22) = (store @ queue_89 @ tail @ index_90))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl309, zip_derived_cl327])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1132, plain, (((select @ q22 @ tail) = (index_90))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl411, zip_derived_cl0])).
% 10.43/2.43 thf(hyp200, axiom, (( index_93 ) = ( select @ q22 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl210, plain, (((index_93) = (select @ q22 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp200])).
% 10.43/2.43 thf(zip_derived_cl1134, plain, (((index_93) = (index_90))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1132, zip_derived_cl210])).
% 10.43/2.43 thf(zip_derived_cl1387, plain, (((index_93) = (s @ index_87))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl1134])).
% 10.43/2.43 thf(hyp196, axiom, (( index_84 ) = ( s @ index_81 ))).
% 10.43/2.43 thf(zip_derived_cl206, plain, (((index_84) = (s @ index_81))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp196])).
% 10.43/2.43 thf(hyp297, axiom, (( queue_85 ) = ( store @ queue_83 @ tail @ index_84 ))).
% 10.43/2.43 thf(zip_derived_cl307, plain,
% 10.43/2.43 (((queue_85) = (store @ queue_83 @ tail @ index_84))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp297])).
% 10.43/2.43 thf(hyp316, axiom, (( q21 ) = ( queue_85 ))).
% 10.43/2.43 thf(zip_derived_cl326, plain, (((q21) = (queue_85))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp316])).
% 10.43/2.43 thf(zip_derived_cl410, plain,
% 10.43/2.43 (((q21) = (store @ queue_83 @ tail @ index_84))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl307, zip_derived_cl326])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1129, plain, (((select @ q21 @ tail) = (index_84))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl410, zip_derived_cl0])).
% 10.43/2.43 thf(hyp197, axiom, (( index_87 ) = ( select @ q21 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl207, plain, (((index_87) = (select @ q21 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp197])).
% 10.43/2.43 thf(zip_derived_cl1131, plain, (((index_87) = (index_84))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1129, zip_derived_cl207])).
% 10.43/2.43 thf(zip_derived_cl1381, plain, (((index_87) = (s @ index_81))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl206, zip_derived_cl1131])).
% 10.43/2.43 thf(hyp194, axiom, (( index_78 ) = ( s @ index_75 ))).
% 10.43/2.43 thf(zip_derived_cl204, plain, (((index_78) = (s @ index_75))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp194])).
% 10.43/2.43 thf(hyp295, axiom, (( queue_79 ) = ( store @ queue_77 @ tail @ index_78 ))).
% 10.43/2.43 thf(zip_derived_cl305, plain,
% 10.43/2.43 (((queue_79) = (store @ queue_77 @ tail @ index_78))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp295])).
% 10.43/2.43 thf(hyp315, axiom, (( q20 ) = ( queue_79 ))).
% 10.43/2.43 thf(zip_derived_cl325, plain, (((q20) = (queue_79))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp315])).
% 10.43/2.43 thf(zip_derived_cl409, plain,
% 10.43/2.43 (((q20) = (store @ queue_77 @ tail @ index_78))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl305, zip_derived_cl325])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1126, plain, (((select @ q20 @ tail) = (index_78))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl409, zip_derived_cl0])).
% 10.43/2.43 thf(hyp195, axiom, (( index_81 ) = ( select @ q20 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl205, plain, (((index_81) = (select @ q20 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp195])).
% 10.43/2.43 thf(zip_derived_cl1128, plain, (((index_81) = (index_78))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1126, zip_derived_cl205])).
% 10.43/2.43 thf(zip_derived_cl1373, plain, (((index_81) = (s @ index_75))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl1128])).
% 10.43/2.43 thf(hyp190, axiom, (( index_66 ) = ( s @ index_63 ))).
% 10.43/2.43 thf(zip_derived_cl200, plain, (((index_66) = (s @ index_63))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp190])).
% 10.43/2.43 thf(hyp290, axiom, (( queue_67 ) = ( store @ queue_65 @ tail @ index_66 ))).
% 10.43/2.43 thf(zip_derived_cl300, plain,
% 10.43/2.43 (((queue_67) = (store @ queue_65 @ tail @ index_66))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp290])).
% 10.43/2.43 thf(hyp313, axiom, (( q19 ) = ( queue_67 ))).
% 10.43/2.43 thf(zip_derived_cl323, plain, (((q19) = (queue_67))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp313])).
% 10.43/2.43 thf(zip_derived_cl406, plain,
% 10.43/2.43 (((q19) = (store @ queue_65 @ tail @ index_66))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl300, zip_derived_cl323])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1110, plain, (((select @ q19 @ tail) = (index_66))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl0])).
% 10.43/2.43 thf(hyp193, axiom, (( index_75 ) = ( select @ q19 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl203, plain, (((index_75) = (select @ q19 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp193])).
% 10.43/2.43 thf(zip_derived_cl1112, plain, (((index_75) = (index_66))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1110, zip_derived_cl203])).
% 10.43/2.43 thf(zip_derived_cl1358, plain, (((index_75) = (s @ index_63))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl1112])).
% 10.43/2.43 thf(hyp188, axiom, (( index_60 ) = ( s @ index_57 ))).
% 10.43/2.43 thf(zip_derived_cl198, plain, (((index_60) = (s @ index_57))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp188])).
% 10.43/2.43 thf(hyp288, axiom, (( queue_61 ) = ( store @ queue_59 @ tail @ index_60 ))).
% 10.43/2.43 thf(zip_derived_cl298, plain,
% 10.43/2.43 (((queue_61) = (store @ queue_59 @ tail @ index_60))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp288])).
% 10.43/2.43 thf(hyp312, axiom, (( q18 ) = ( queue_61 ))).
% 10.43/2.43 thf(zip_derived_cl322, plain, (((q18) = (queue_61))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp312])).
% 10.43/2.43 thf(zip_derived_cl405, plain,
% 10.43/2.43 (((q18) = (store @ queue_59 @ tail @ index_60))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl298, zip_derived_cl322])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1107, plain, (((select @ q18 @ tail) = (index_60))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl405, zip_derived_cl0])).
% 10.43/2.43 thf(hyp189, axiom, (( index_63 ) = ( select @ q18 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl199, plain, (((index_63) = (select @ q18 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp189])).
% 10.43/2.43 thf(zip_derived_cl1109, plain, (((index_63) = (index_60))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1107, zip_derived_cl199])).
% 10.43/2.43 thf(zip_derived_cl1353, plain, (((index_63) = (s @ index_57))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl1109])).
% 10.43/2.43 thf(hyp185, axiom, (( index_54 ) = ( s @ index_51 ))).
% 10.43/2.43 thf(zip_derived_cl195, plain, (((index_54) = (s @ index_51))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp185])).
% 10.43/2.43 thf(hyp286, axiom, (( queue_55 ) = ( store @ queue_53 @ tail @ index_54 ))).
% 10.43/2.43 thf(zip_derived_cl296, plain,
% 10.43/2.43 (((queue_55) = (store @ queue_53 @ tail @ index_54))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp286])).
% 10.43/2.43 thf(hyp311, axiom, (( q17 ) = ( queue_55 ))).
% 10.43/2.43 thf(zip_derived_cl321, plain, (((q17) = (queue_55))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp311])).
% 10.43/2.43 thf(zip_derived_cl404, plain,
% 10.43/2.43 (((q17) = (store @ queue_53 @ tail @ index_54))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl296, zip_derived_cl321])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1104, plain, (((select @ q17 @ tail) = (index_54))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl0])).
% 10.43/2.43 thf(hyp186, axiom, (( index_57 ) = ( select @ q17 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl196, plain, (((index_57) = (select @ q17 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp186])).
% 10.43/2.43 thf(zip_derived_cl1106, plain, (((index_57) = (index_54))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1104, zip_derived_cl196])).
% 10.43/2.43 thf(zip_derived_cl1348, plain, (((index_57) = (s @ index_51))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl1106])).
% 10.43/2.43 thf(hyp183, axiom, (( index_48 ) = ( s @ index_45 ))).
% 10.43/2.43 thf(zip_derived_cl193, plain, (((index_48) = (s @ index_45))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp183])).
% 10.43/2.43 thf(hyp283, axiom, (( queue_49 ) = ( store @ queue_47 @ tail @ index_48 ))).
% 10.43/2.43 thf(zip_derived_cl293, plain,
% 10.43/2.43 (((queue_49) = (store @ queue_47 @ tail @ index_48))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp283])).
% 10.43/2.43 thf(hyp310, axiom, (( q16 ) = ( queue_49 ))).
% 10.43/2.43 thf(zip_derived_cl320, plain, (((q16) = (queue_49))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp310])).
% 10.43/2.43 thf(zip_derived_cl403, plain,
% 10.43/2.43 (((q16) = (store @ queue_47 @ tail @ index_48))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl293, zip_derived_cl320])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1101, plain, (((select @ q16 @ tail) = (index_48))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl403, zip_derived_cl0])).
% 10.43/2.43 thf(hyp184, axiom, (( index_51 ) = ( select @ q16 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl194, plain, (((index_51) = (select @ q16 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp184])).
% 10.43/2.43 thf(zip_derived_cl1103, plain, (((index_51) = (index_48))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1101, zip_derived_cl194])).
% 10.43/2.43 thf(zip_derived_cl1343, plain, (((index_51) = (s @ index_45))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl1103])).
% 10.43/2.43 thf(hyp181, axiom, (( index_42 ) = ( s @ index_39 ))).
% 10.43/2.43 thf(zip_derived_cl191, plain, (((index_42) = (s @ index_39))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp181])).
% 10.43/2.43 thf(hyp281, axiom, (( queue_43 ) = ( store @ queue_41 @ tail @ index_42 ))).
% 10.43/2.43 thf(zip_derived_cl291, plain,
% 10.43/2.43 (((queue_43) = (store @ queue_41 @ tail @ index_42))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp281])).
% 10.43/2.43 thf(hyp309, axiom, (( q15 ) = ( queue_43 ))).
% 10.43/2.43 thf(zip_derived_cl319, plain, (((q15) = (queue_43))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp309])).
% 10.43/2.43 thf(zip_derived_cl402, plain,
% 10.43/2.43 (((q15) = (store @ queue_41 @ tail @ index_42))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl291, zip_derived_cl319])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1098, plain, (((select @ q15 @ tail) = (index_42))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl402, zip_derived_cl0])).
% 10.43/2.43 thf(hyp182, axiom, (( index_45 ) = ( select @ q15 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl192, plain, (((index_45) = (select @ q15 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp182])).
% 10.43/2.43 thf(zip_derived_cl1100, plain, (((index_45) = (index_42))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1098, zip_derived_cl192])).
% 10.43/2.43 thf(zip_derived_cl1338, plain, (((index_45) = (s @ index_39))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl1100])).
% 10.43/2.43 thf(hyp179, axiom, (( index_36 ) = ( s @ index_33 ))).
% 10.43/2.43 thf(zip_derived_cl189, plain, (((index_36) = (s @ index_33))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp179])).
% 10.43/2.43 thf(hyp279, axiom, (( queue_37 ) = ( store @ queue_35 @ tail @ index_36 ))).
% 10.43/2.43 thf(zip_derived_cl289, plain,
% 10.43/2.43 (((queue_37) = (store @ queue_35 @ tail @ index_36))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp279])).
% 10.43/2.43 thf(hyp308, axiom, (( q14 ) = ( queue_37 ))).
% 10.43/2.43 thf(zip_derived_cl318, plain, (((q14) = (queue_37))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp308])).
% 10.43/2.43 thf(zip_derived_cl401, plain,
% 10.43/2.43 (((q14) = (store @ queue_35 @ tail @ index_36))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl318])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1090, plain, (((select @ q14 @ tail) = (index_36))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl401, zip_derived_cl0])).
% 10.43/2.43 thf(hyp180, axiom, (( index_39 ) = ( select @ q14 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl190, plain, (((index_39) = (select @ q14 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp180])).
% 10.43/2.43 thf(zip_derived_cl1092, plain, (((index_39) = (index_36))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1090, zip_derived_cl190])).
% 10.43/2.43 thf(zip_derived_cl1330, plain, (((index_39) = (s @ index_33))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl1092])).
% 10.43/2.43 thf(hyp176, axiom, (( index_30 ) = ( s @ index_27 ))).
% 10.43/2.43 thf(zip_derived_cl186, plain, (((index_30) = (s @ index_27))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp176])).
% 10.43/2.43 thf(hyp277, axiom, (( queue_31 ) = ( store @ queue_29 @ tail @ index_30 ))).
% 10.43/2.43 thf(zip_derived_cl287, plain,
% 10.43/2.43 (((queue_31) = (store @ queue_29 @ tail @ index_30))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp277])).
% 10.43/2.43 thf(hyp307, axiom, (( q13 ) = ( queue_31 ))).
% 10.43/2.43 thf(zip_derived_cl317, plain, (((q13) = (queue_31))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp307])).
% 10.43/2.43 thf(zip_derived_cl400, plain,
% 10.43/2.43 (((q13) = (store @ queue_29 @ tail @ index_30))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl287, zip_derived_cl317])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1081, plain, (((select @ q13 @ tail) = (index_30))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl400, zip_derived_cl0])).
% 10.43/2.43 thf(hyp178, axiom, (( index_33 ) = ( select @ q13 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl188, plain, (((index_33) = (select @ q13 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp178])).
% 10.43/2.43 thf(zip_derived_cl1083, plain, (((index_33) = (index_30))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1081, zip_derived_cl188])).
% 10.43/2.43 thf(zip_derived_cl1325, plain, (((index_33) = (s @ index_27))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl1083])).
% 10.43/2.43 thf(hyp152, axiom, (( index_24 ) = ( s @ index_21 ))).
% 10.43/2.43 thf(zip_derived_cl162, plain, (((index_24) = (s @ index_21))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp152])).
% 10.43/2.43 thf(hyp259, axiom, (( queue_25 ) = ( store @ queue_23 @ tail @ index_24 ))).
% 10.43/2.43 thf(zip_derived_cl269, plain,
% 10.43/2.43 (((queue_25) = (store @ queue_23 @ tail @ index_24))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp259])).
% 10.43/2.43 thf(hyp306, axiom, (( q12 ) = ( queue_25 ))).
% 10.43/2.43 thf(zip_derived_cl316, plain, (((q12) = (queue_25))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp306])).
% 10.43/2.43 thf(zip_derived_cl391, plain,
% 10.43/2.43 (((q12) = (store @ queue_23 @ tail @ index_24))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl269, zip_derived_cl316])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl1049, plain, (((select @ q12 @ tail) = (index_24))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl391, zip_derived_cl0])).
% 10.43/2.43 thf(hyp163, axiom, (( index_27 ) = ( select @ q12 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl173, plain, (((index_27) = (select @ q12 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp163])).
% 10.43/2.43 thf(zip_derived_cl1051, plain, (((index_27) = (index_24))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1049, zip_derived_cl173])).
% 10.43/2.43 thf(zip_derived_cl1276, plain, (((index_27) = (s @ index_21))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl1051])).
% 10.43/2.43 thf(zip_derived_cl1535, plain, (((index_9) = (s @ index_21))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1534, zip_derived_cl1014])).
% 10.43/2.43 thf(zip_derived_cl2106, plain, (((index_27) = (index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1276, zip_derived_cl1535])).
% 10.43/2.43 thf(zip_derived_cl118, plain, (((index_12) = (s @ index_9))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp108])).
% 10.43/2.43 thf(zip_derived_cl951, plain, (((index_15) = (index_12))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl949, zip_derived_cl129])).
% 10.43/2.43 thf(zip_derived_cl1012, plain, (((index_15) = (s @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl951])).
% 10.43/2.43 thf(zip_derived_cl2119, plain, (((index_33) = (index_15))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1325, zip_derived_cl2106, zip_derived_cl1012])).
% 10.43/2.43 thf(zip_derived_cl1209, plain, (((index_21) = (s @ index_15))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl1002])).
% 10.43/2.43 thf(zip_derived_cl2140, plain, (((index_39) = (index_21))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1330, zip_derived_cl2119, zip_derived_cl1209])).
% 10.43/2.43 thf(zip_derived_cl1535, plain, (((index_9) = (s @ index_21))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1534, zip_derived_cl1014])).
% 10.43/2.43 thf(zip_derived_cl2150, plain, (((index_45) = (index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1338, zip_derived_cl2140, zip_derived_cl1535])).
% 10.43/2.43 thf(zip_derived_cl1012, plain, (((index_15) = (s @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl951])).
% 10.43/2.43 thf(zip_derived_cl2160, plain, (((index_51) = (index_15))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1343, zip_derived_cl2150, zip_derived_cl1012])).
% 10.43/2.43 thf(zip_derived_cl1209, plain, (((index_21) = (s @ index_15))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl1002])).
% 10.43/2.43 thf(zip_derived_cl2170, plain, (((index_57) = (index_21))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1348, zip_derived_cl2160, zip_derived_cl1209])).
% 10.43/2.43 thf(zip_derived_cl1535, plain, (((index_9) = (s @ index_21))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1534, zip_derived_cl1014])).
% 10.43/2.43 thf(zip_derived_cl2181, plain, (((index_63) = (index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1353, zip_derived_cl2170, zip_derived_cl1535])).
% 10.43/2.43 thf(zip_derived_cl1012, plain, (((index_15) = (s @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl951])).
% 10.43/2.43 thf(zip_derived_cl2191, plain, (((index_75) = (index_15))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1358, zip_derived_cl2181, zip_derived_cl1012])).
% 10.43/2.43 thf(zip_derived_cl1209, plain, (((index_21) = (s @ index_15))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl1002])).
% 10.43/2.43 thf(zip_derived_cl2199, plain, (((index_81) = (index_21))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1373, zip_derived_cl2191, zip_derived_cl1209])).
% 10.43/2.43 thf(zip_derived_cl1535, plain, (((index_9) = (s @ index_21))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1534, zip_derived_cl1014])).
% 10.43/2.43 thf(zip_derived_cl2208, plain, (((index_87) = (index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1381, zip_derived_cl2199, zip_derived_cl1535])).
% 10.43/2.43 thf(zip_derived_cl1012, plain, (((index_15) = (s @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl951])).
% 10.43/2.43 thf(zip_derived_cl2217, plain, (((index_93) = (index_15))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1387, zip_derived_cl2208, zip_derived_cl1012])).
% 10.43/2.43 thf(zip_derived_cl1209, plain, (((index_21) = (s @ index_15))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl1002])).
% 10.43/2.43 thf(zip_derived_cl2226, plain, (((index_99) = (index_21))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1395, zip_derived_cl2217, zip_derived_cl1209])).
% 10.43/2.43 thf(hyp102, axiom, (( index_102 ) = ( s @ index_99 ))).
% 10.43/2.43 thf(zip_derived_cl112, plain, (((index_102) = (s @ index_99))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp102])).
% 10.43/2.43 thf(hyp205, axiom,
% 10.43/2.43 (( queue_103 ) = ( store @ queue_101 @ tail @ index_102 ))).
% 10.43/2.43 thf(zip_derived_cl215, plain,
% 10.43/2.43 (((queue_103) = (store @ queue_101 @ tail @ index_102))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp205])).
% 10.43/2.43 thf(hyp319, axiom, (( q24 ) = ( queue_103 ))).
% 10.43/2.43 thf(zip_derived_cl329, plain, (((q24) = (queue_103))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp319])).
% 10.43/2.43 thf(zip_derived_cl364, plain,
% 10.43/2.43 (((q24) = (store @ queue_101 @ tail @ index_102))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl215, zip_derived_cl329])).
% 10.43/2.43 thf(zip_derived_cl0, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [a1])).
% 10.43/2.43 thf(zip_derived_cl923, plain, (((select @ q24 @ tail) = (index_102))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl364, zip_derived_cl0])).
% 10.43/2.43 thf(hyp103, axiom, (( index_105 ) = ( select @ q24 @ tail ))).
% 10.43/2.43 thf(zip_derived_cl113, plain, (((index_105) = (select @ q24 @ tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp103])).
% 10.43/2.43 thf(zip_derived_cl925, plain, (((index_105) = (index_102))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl923, zip_derived_cl113])).
% 10.43/2.43 thf(zip_derived_cl926, plain, (((index_105) = (s @ index_99))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl925])).
% 10.43/2.43 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.43 thf(zip_derived_cl2277, plain, (((index_9) = (index_261))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1979, zip_derived_cl2241])).
% 10.43/2.43 thf(zip_derived_cl2690, plain,
% 10.43/2.43 (((q48) = (store @ queue_257 @ tail @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1289, zip_derived_cl2277])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2692, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q48 @ X0) = (select @ queue_257 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2690, zip_derived_cl1])).
% 10.43/2.43 thf(hyp262, axiom, (( queue_257 ) = ( store @ q47 @ seq @ earray_256 ))).
% 10.43/2.43 thf(zip_derived_cl272, plain,
% 10.43/2.43 (((queue_257) = (store @ q47 @ seq @ earray_256))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp262])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl873, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_257 @ X0) = (select @ q47 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl272, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3208, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q48 @ X0) = (select @ q47 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2692, zip_derived_cl873])).
% 10.43/2.43 thf(zip_derived_cl3759, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q47 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3753, zip_derived_cl3208])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3760, plain, (((index_297) = (select @ q47 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3759, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl392, plain,
% 10.43/2.43 (((q47) = (store @ queue_251 @ tail @ index_252))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl354])).
% 10.43/2.43 thf(zip_derived_cl1054, plain, (((index_255) = (index_252))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl168])).
% 10.43/2.43 thf(zip_derived_cl1283, plain,
% 10.43/2.43 (((q47) = (store @ queue_251 @ tail @ index_255))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl392, zip_derived_cl1054])).
% 10.43/2.43 thf(zip_derived_cl1656, plain, (((index_237) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1290, zip_derived_cl1646, zip_derived_cl1265])).
% 10.43/2.43 thf(zip_derived_cl1677, plain, (((index_219) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1265, zip_derived_cl1669, zip_derived_cl1247])).
% 10.43/2.43 thf(zip_derived_cl1689, plain, (((index_219) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1656, zip_derived_cl1677])).
% 10.43/2.43 thf(zip_derived_cl1706, plain, (((index_195) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1247, zip_derived_cl1695, zip_derived_cl1223])).
% 10.43/2.43 thf(zip_derived_cl1722, plain, (((index_195) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1689, zip_derived_cl1706])).
% 10.43/2.43 thf(zip_derived_cl1741, plain, (((index_177) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1223, zip_derived_cl1728, zip_derived_cl1199])).
% 10.43/2.43 thf(zip_derived_cl1761, plain, (((index_177) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1722, zip_derived_cl1741])).
% 10.43/2.43 thf(zip_derived_cl1784, plain, (((index_159) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1199, zip_derived_cl1768, zip_derived_cl1119])).
% 10.43/2.43 thf(zip_derived_cl1811, plain, (((index_159) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1761, zip_derived_cl1784])).
% 10.43/2.43 thf(zip_derived_cl1838, plain, (((index_141) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1119, zip_derived_cl1819, zip_derived_cl1065])).
% 10.43/2.43 thf(zip_derived_cl1869, plain, (((index_141) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1811, zip_derived_cl1838])).
% 10.43/2.43 thf(zip_derived_cl1898, plain, (((index_117) = (index_141))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1065, zip_derived_cl1877, zip_derived_cl966])).
% 10.43/2.43 thf(zip_derived_cl1933, plain, (((index_117) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1869, zip_derived_cl1898])).
% 10.43/2.43 thf(zip_derived_cl966, plain, (((p @ index_123) = (index_117))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl445, zip_derived_cl945])).
% 10.43/2.43 thf(zip_derived_cl1942, plain, (((index_105) = (index_123))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl990, zip_derived_cl1920, zip_derived_cl936])).
% 10.43/2.43 thf(zip_derived_cl112, plain, (((index_102) = (s @ index_99))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp102])).
% 10.43/2.43 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.43 inference('cnf', [status(esa)], [ps])).
% 10.43/2.43 thf(zip_derived_cl429, plain, (((p @ index_102) = (index_99))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl5])).
% 10.43/2.43 thf(zip_derived_cl925, plain, (((index_105) = (index_102))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl923, zip_derived_cl113])).
% 10.43/2.43 thf(zip_derived_cl928, plain, (((p @ index_105) = (index_99))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl429, zip_derived_cl925])).
% 10.43/2.43 thf(zip_derived_cl1964, plain, (((index_99) = (index_117))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl966, zip_derived_cl1942, zip_derived_cl928])).
% 10.43/2.43 thf(zip_derived_cl2003, plain, (((index_99) = (index_255))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1933, zip_derived_cl1964])).
% 10.43/2.43 thf(zip_derived_cl2685, plain,
% 10.43/2.43 (((q47) = (store @ queue_251 @ tail @ index_99))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1283, zip_derived_cl2003])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2687, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q47 @ X0) = (select @ queue_251 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2685, zip_derived_cl1])).
% 10.43/2.43 thf(hyp260, axiom, (( queue_251 ) = ( store @ q46 @ seq @ earray_250 ))).
% 10.43/2.43 thf(zip_derived_cl270, plain,
% 10.43/2.43 (((queue_251) = (store @ q46 @ seq @ earray_250))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp260])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl871, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_251 @ X0) = (select @ q46 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3201, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q47 @ X0) = (select @ q46 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2687, zip_derived_cl871])).
% 10.43/2.43 thf(zip_derived_cl3763, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q46 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3760, zip_derived_cl3201])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3764, plain, (((index_297) = (select @ q46 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3763, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl390, plain,
% 10.43/2.43 (((q46) = (store @ queue_245 @ tail @ index_246))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl353])).
% 10.43/2.43 thf(zip_derived_cl1048, plain, (((index_249) = (index_246))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1046, zip_derived_cl166])).
% 10.43/2.43 thf(zip_derived_cl1271, plain,
% 10.43/2.43 (((q46) = (store @ queue_245 @ tail @ index_249))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl390, zip_derived_cl1048])).
% 10.43/2.43 thf(zip_derived_cl1955, plain, (((index_111) = (index_249))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1888, zip_derived_cl1920])).
% 10.43/2.43 thf(zip_derived_cl2679, plain,
% 10.43/2.43 (((q46) = (store @ queue_245 @ tail @ index_111))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1271, zip_derived_cl1955])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2681, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q46 @ X0) = (select @ queue_245 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2679, zip_derived_cl1])).
% 10.43/2.43 thf(hyp257, axiom, (( queue_245 ) = ( store @ q45 @ seq @ earray_244 ))).
% 10.43/2.43 thf(zip_derived_cl267, plain,
% 10.43/2.43 (((queue_245) = (store @ q45 @ seq @ earray_244))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp257])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl866, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_245 @ X0) = (select @ q45 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3186, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q46 @ X0) = (select @ q45 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2681, zip_derived_cl866])).
% 10.43/2.43 thf(zip_derived_cl3765, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q45 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3764, zip_derived_cl3186])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3766, plain, (((index_297) = (select @ q45 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3765, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl389, plain,
% 10.43/2.43 (((q45) = (store @ queue_239 @ tail @ index_240))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl352])).
% 10.43/2.43 thf(zip_derived_cl1040, plain, (((index_243) = (index_240))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1038, zip_derived_cl164])).
% 10.43/2.43 thf(zip_derived_cl1264, plain,
% 10.43/2.43 (((q45) = (store @ queue_239 @ tail @ index_243))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl389, zip_derived_cl1040])).
% 10.43/2.43 thf(zip_derived_cl1669, plain, (((index_225) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1272, zip_derived_cl1661, zip_derived_cl1253])).
% 10.43/2.43 thf(zip_derived_cl1695, plain, (((index_207) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1253, zip_derived_cl1686, zip_derived_cl1235])).
% 10.43/2.43 thf(zip_derived_cl1709, plain, (((index_207) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1669, zip_derived_cl1695])).
% 10.43/2.43 thf(zip_derived_cl1728, plain, (((index_183) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1235, zip_derived_cl1717, zip_derived_cl1205])).
% 10.43/2.43 thf(zip_derived_cl1746, plain, (((index_183) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1709, zip_derived_cl1728])).
% 10.43/2.43 thf(zip_derived_cl1768, plain, (((index_165) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1205, zip_derived_cl1754, zip_derived_cl1187])).
% 10.43/2.43 thf(zip_derived_cl1791, plain, (((index_165) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1746, zip_derived_cl1768])).
% 10.43/2.43 thf(zip_derived_cl1819, plain, (((index_147) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1187, zip_derived_cl1802, zip_derived_cl1086])).
% 10.43/2.43 thf(zip_derived_cl1847, plain, (((index_147) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1791, zip_derived_cl1819])).
% 10.43/2.43 thf(zip_derived_cl1877, plain, (((index_123) = (index_147))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1086, zip_derived_cl1858, zip_derived_cl990])).
% 10.43/2.43 thf(zip_derived_cl1909, plain, (((index_123) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1847, zip_derived_cl1877])).
% 10.43/2.43 thf(zip_derived_cl1942, plain, (((index_105) = (index_123))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl990, zip_derived_cl1920, zip_derived_cl936])).
% 10.43/2.43 thf(zip_derived_cl1977, plain, (((index_105) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1909, zip_derived_cl1942])).
% 10.43/2.43 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.43 thf(zip_derived_cl2275, plain, (((index_9) = (index_243))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1977, zip_derived_cl2241])).
% 10.43/2.43 thf(zip_derived_cl2676, plain,
% 10.43/2.43 (((q45) = (store @ queue_239 @ tail @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1264, zip_derived_cl2275])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2678, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q45 @ X0) = (select @ queue_239 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2676, zip_derived_cl1])).
% 10.43/2.43 thf(hyp255, axiom, (( queue_239 ) = ( store @ q44 @ seq @ earray_238 ))).
% 10.43/2.43 thf(zip_derived_cl265, plain,
% 10.43/2.43 (((queue_239) = (store @ q44 @ seq @ earray_238))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp255])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl864, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_239 @ X0) = (select @ q44 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3179, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q45 @ X0) = (select @ q44 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2678, zip_derived_cl864])).
% 10.43/2.43 thf(zip_derived_cl3767, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q44 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3766, zip_derived_cl3179])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3768, plain, (((index_297) = (select @ q44 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3767, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl388, plain,
% 10.43/2.43 (((q44) = (store @ queue_233 @ tail @ index_234))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl351])).
% 10.43/2.43 thf(zip_derived_cl1031, plain, (((index_237) = (index_234))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1029, zip_derived_cl161])).
% 10.43/2.43 thf(zip_derived_cl1258, plain,
% 10.43/2.43 (((q44) = (store @ queue_233 @ tail @ index_237))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl388, zip_derived_cl1031])).
% 10.43/2.43 thf(zip_derived_cl1677, plain, (((index_219) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1265, zip_derived_cl1669, zip_derived_cl1247])).
% 10.43/2.43 thf(zip_derived_cl1706, plain, (((index_195) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1247, zip_derived_cl1695, zip_derived_cl1223])).
% 10.43/2.43 thf(zip_derived_cl1720, plain, (((index_195) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1677, zip_derived_cl1706])).
% 10.43/2.43 thf(zip_derived_cl1741, plain, (((index_177) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1223, zip_derived_cl1728, zip_derived_cl1199])).
% 10.43/2.43 thf(zip_derived_cl1759, plain, (((index_177) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1720, zip_derived_cl1741])).
% 10.43/2.43 thf(zip_derived_cl1784, plain, (((index_159) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1199, zip_derived_cl1768, zip_derived_cl1119])).
% 10.43/2.43 thf(zip_derived_cl1809, plain, (((index_159) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1759, zip_derived_cl1784])).
% 10.43/2.43 thf(zip_derived_cl1838, plain, (((index_141) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1119, zip_derived_cl1819, zip_derived_cl1065])).
% 10.43/2.43 thf(zip_derived_cl1867, plain, (((index_141) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1809, zip_derived_cl1838])).
% 10.43/2.43 thf(zip_derived_cl1898, plain, (((index_117) = (index_141))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1065, zip_derived_cl1877, zip_derived_cl966])).
% 10.43/2.43 thf(zip_derived_cl1931, plain, (((index_117) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1867, zip_derived_cl1898])).
% 10.43/2.43 thf(zip_derived_cl1964, plain, (((index_99) = (index_117))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl966, zip_derived_cl1942, zip_derived_cl928])).
% 10.43/2.43 thf(zip_derived_cl2001, plain, (((index_99) = (index_237))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1931, zip_derived_cl1964])).
% 10.43/2.43 thf(zip_derived_cl2673, plain,
% 10.43/2.43 (((q44) = (store @ queue_233 @ tail @ index_99))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1258, zip_derived_cl2001])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2675, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q44 @ X0) = (select @ queue_233 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2673, zip_derived_cl1])).
% 10.43/2.43 thf(hyp253, axiom, (( queue_233 ) = ( store @ q43 @ seq @ earray_232 ))).
% 10.43/2.43 thf(zip_derived_cl263, plain,
% 10.43/2.43 (((queue_233) = (store @ q43 @ seq @ earray_232))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp253])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl862, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_233 @ X0) = (select @ q43 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl263, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3170, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q44 @ X0) = (select @ q43 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2675, zip_derived_cl862])).
% 10.43/2.43 thf(zip_derived_cl3769, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q43 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3768, zip_derived_cl3170])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3770, plain, (((index_297) = (select @ q43 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3769, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl387, plain,
% 10.43/2.43 (((q43) = (store @ queue_227 @ tail @ index_228))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl261, zip_derived_cl350])).
% 10.43/2.43 thf(zip_derived_cl1028, plain, (((index_231) = (index_228))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1026, zip_derived_cl159])).
% 10.43/2.43 thf(zip_derived_cl1252, plain,
% 10.43/2.43 (((q43) = (store @ queue_227 @ tail @ index_231))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl387, zip_derived_cl1028])).
% 10.43/2.43 thf(zip_derived_cl1686, plain, (((index_213) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1259, zip_derived_cl1677, zip_derived_cl1241])).
% 10.43/2.43 thf(zip_derived_cl1717, plain, (((index_189) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1241, zip_derived_cl1706, zip_derived_cl1217])).
% 10.43/2.43 thf(zip_derived_cl1731, plain, (((index_189) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1686, zip_derived_cl1717])).
% 10.43/2.43 thf(zip_derived_cl1754, plain, (((index_171) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1217, zip_derived_cl1741, zip_derived_cl1193])).
% 10.43/2.43 thf(zip_derived_cl1773, plain, (((index_171) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1731, zip_derived_cl1754])).
% 10.43/2.43 thf(zip_derived_cl1802, plain, (((index_153) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1193, zip_derived_cl1784, zip_derived_cl1095])).
% 10.43/2.43 thf(zip_derived_cl1826, plain, (((index_153) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1773, zip_derived_cl1802])).
% 10.43/2.43 thf(zip_derived_cl1858, plain, (((index_129) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1095, zip_derived_cl1838, zip_derived_cl1034])).
% 10.43/2.43 thf(zip_derived_cl1886, plain, (((index_129) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1826, zip_derived_cl1858])).
% 10.43/2.43 thf(zip_derived_cl1920, plain, (((index_111) = (index_129))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1034, zip_derived_cl1898, zip_derived_cl957])).
% 10.43/2.43 thf(zip_derived_cl1953, plain, (((index_111) = (index_231))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1886, zip_derived_cl1920])).
% 10.43/2.43 thf(zip_derived_cl2668, plain,
% 10.43/2.43 (((q43) = (store @ queue_227 @ tail @ index_111))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1252, zip_derived_cl1953])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2670, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q43 @ X0) = (select @ queue_227 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2668, zip_derived_cl1])).
% 10.43/2.43 thf(hyp250, axiom, (( queue_227 ) = ( store @ q42 @ seq @ earray_226 ))).
% 10.43/2.43 thf(zip_derived_cl260, plain,
% 10.43/2.43 (((queue_227) = (store @ q42 @ seq @ earray_226))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp250])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl858, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_227 @ X0) = (select @ q42 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3165, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q43 @ X0) = (select @ q42 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2670, zip_derived_cl858])).
% 10.43/2.43 thf(zip_derived_cl3771, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q42 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3770, zip_derived_cl3165])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3772, plain, (((index_297) = (select @ q42 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3771, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl386, plain,
% 10.43/2.43 (((q42) = (store @ queue_221 @ tail @ index_222))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl349])).
% 10.43/2.43 thf(zip_derived_cl1025, plain, (((index_225) = (index_222))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1023, zip_derived_cl157])).
% 10.43/2.43 thf(zip_derived_cl1246, plain,
% 10.43/2.43 (((q42) = (store @ queue_221 @ tail @ index_225))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl386, zip_derived_cl1025])).
% 10.43/2.43 thf(zip_derived_cl1695, plain, (((index_207) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1253, zip_derived_cl1686, zip_derived_cl1235])).
% 10.43/2.43 thf(zip_derived_cl1728, plain, (((index_183) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1235, zip_derived_cl1717, zip_derived_cl1205])).
% 10.43/2.43 thf(zip_derived_cl1744, plain, (((index_183) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1695, zip_derived_cl1728])).
% 10.43/2.43 thf(zip_derived_cl1768, plain, (((index_165) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1205, zip_derived_cl1754, zip_derived_cl1187])).
% 10.43/2.43 thf(zip_derived_cl1789, plain, (((index_165) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1744, zip_derived_cl1768])).
% 10.43/2.43 thf(zip_derived_cl1819, plain, (((index_147) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1187, zip_derived_cl1802, zip_derived_cl1086])).
% 10.43/2.43 thf(zip_derived_cl1845, plain, (((index_147) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1789, zip_derived_cl1819])).
% 10.43/2.43 thf(zip_derived_cl1877, plain, (((index_123) = (index_147))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1086, zip_derived_cl1858, zip_derived_cl990])).
% 10.43/2.43 thf(zip_derived_cl1907, plain, (((index_123) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1845, zip_derived_cl1877])).
% 10.43/2.43 thf(zip_derived_cl1942, plain, (((index_105) = (index_123))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl990, zip_derived_cl1920, zip_derived_cl936])).
% 10.43/2.43 thf(zip_derived_cl1975, plain, (((index_105) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1907, zip_derived_cl1942])).
% 10.43/2.43 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.43 thf(zip_derived_cl2273, plain, (((index_9) = (index_225))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1975, zip_derived_cl2241])).
% 10.43/2.43 thf(zip_derived_cl2665, plain,
% 10.43/2.43 (((q42) = (store @ queue_221 @ tail @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1246, zip_derived_cl2273])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2667, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q42 @ X0) = (select @ queue_221 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2665, zip_derived_cl1])).
% 10.43/2.43 thf(hyp248, axiom, (( queue_221 ) = ( store @ q41 @ seq @ earray_220 ))).
% 10.43/2.43 thf(zip_derived_cl258, plain,
% 10.43/2.43 (((queue_221) = (store @ q41 @ seq @ earray_220))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp248])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl856, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_221 @ X0) = (select @ q41 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3155, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q42 @ X0) = (select @ q41 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2667, zip_derived_cl856])).
% 10.43/2.43 thf(zip_derived_cl3773, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q41 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3772, zip_derived_cl3155])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3774, plain, (((index_297) = (select @ q41 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3773, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl385, plain,
% 10.43/2.43 (((q41) = (store @ queue_215 @ tail @ index_216))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl348])).
% 10.43/2.43 thf(zip_derived_cl1022, plain, (((index_219) = (index_216))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1020, zip_derived_cl155])).
% 10.43/2.43 thf(zip_derived_cl1240, plain,
% 10.43/2.43 (((q41) = (store @ queue_215 @ tail @ index_219))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl385, zip_derived_cl1022])).
% 10.43/2.43 thf(zip_derived_cl1706, plain, (((index_195) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1247, zip_derived_cl1695, zip_derived_cl1223])).
% 10.43/2.43 thf(zip_derived_cl1741, plain, (((index_177) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1223, zip_derived_cl1728, zip_derived_cl1199])).
% 10.43/2.43 thf(zip_derived_cl1757, plain, (((index_177) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1706, zip_derived_cl1741])).
% 10.43/2.43 thf(zip_derived_cl1784, plain, (((index_159) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1199, zip_derived_cl1768, zip_derived_cl1119])).
% 10.43/2.43 thf(zip_derived_cl1807, plain, (((index_159) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1757, zip_derived_cl1784])).
% 10.43/2.43 thf(zip_derived_cl1838, plain, (((index_141) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1119, zip_derived_cl1819, zip_derived_cl1065])).
% 10.43/2.43 thf(zip_derived_cl1865, plain, (((index_141) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1807, zip_derived_cl1838])).
% 10.43/2.43 thf(zip_derived_cl1898, plain, (((index_117) = (index_141))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1065, zip_derived_cl1877, zip_derived_cl966])).
% 10.43/2.43 thf(zip_derived_cl1929, plain, (((index_117) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1865, zip_derived_cl1898])).
% 10.43/2.43 thf(zip_derived_cl1964, plain, (((index_99) = (index_117))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl966, zip_derived_cl1942, zip_derived_cl928])).
% 10.43/2.43 thf(zip_derived_cl1999, plain, (((index_99) = (index_219))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1929, zip_derived_cl1964])).
% 10.43/2.43 thf(zip_derived_cl2662, plain,
% 10.43/2.43 (((q41) = (store @ queue_215 @ tail @ index_99))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1240, zip_derived_cl1999])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2664, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q41 @ X0) = (select @ queue_215 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2662, zip_derived_cl1])).
% 10.43/2.43 thf(hyp246, axiom, (( queue_215 ) = ( store @ q40 @ seq @ earray_214 ))).
% 10.43/2.43 thf(zip_derived_cl256, plain,
% 10.43/2.43 (((queue_215) = (store @ q40 @ seq @ earray_214))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp246])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl851, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_215 @ X0) = (select @ q40 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3151, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q41 @ X0) = (select @ q40 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2664, zip_derived_cl851])).
% 10.43/2.43 thf(zip_derived_cl3775, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q40 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3774, zip_derived_cl3151])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3776, plain, (((index_297) = (select @ q40 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3775, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl384, plain,
% 10.43/2.43 (((q40) = (store @ queue_209 @ tail @ index_210))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl255, zip_derived_cl347])).
% 10.43/2.43 thf(zip_derived_cl1019, plain, (((index_213) = (index_210))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1017, zip_derived_cl153])).
% 10.43/2.43 thf(zip_derived_cl1234, plain,
% 10.43/2.43 (((q40) = (store @ queue_209 @ tail @ index_213))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl384, zip_derived_cl1019])).
% 10.43/2.43 thf(zip_derived_cl1717, plain, (((index_189) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1241, zip_derived_cl1706, zip_derived_cl1217])).
% 10.43/2.43 thf(zip_derived_cl1754, plain, (((index_171) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1217, zip_derived_cl1741, zip_derived_cl1193])).
% 10.43/2.43 thf(zip_derived_cl1771, plain, (((index_171) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1717, zip_derived_cl1754])).
% 10.43/2.43 thf(zip_derived_cl1802, plain, (((index_153) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1193, zip_derived_cl1784, zip_derived_cl1095])).
% 10.43/2.43 thf(zip_derived_cl1824, plain, (((index_153) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1771, zip_derived_cl1802])).
% 10.43/2.43 thf(zip_derived_cl1858, plain, (((index_129) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1095, zip_derived_cl1838, zip_derived_cl1034])).
% 10.43/2.43 thf(zip_derived_cl1884, plain, (((index_129) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1824, zip_derived_cl1858])).
% 10.43/2.43 thf(zip_derived_cl1920, plain, (((index_111) = (index_129))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1034, zip_derived_cl1898, zip_derived_cl957])).
% 10.43/2.43 thf(zip_derived_cl1951, plain, (((index_111) = (index_213))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1884, zip_derived_cl1920])).
% 10.43/2.43 thf(zip_derived_cl2659, plain,
% 10.43/2.43 (((q40) = (store @ queue_209 @ tail @ index_111))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1234, zip_derived_cl1951])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2661, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q40 @ X0) = (select @ queue_209 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2659, zip_derived_cl1])).
% 10.43/2.43 thf(hyp244, axiom, (( queue_209 ) = ( store @ q39 @ seq @ earray_208 ))).
% 10.43/2.43 thf(zip_derived_cl254, plain,
% 10.43/2.43 (((queue_209) = (store @ q39 @ seq @ earray_208))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp244])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl849, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_209 @ X0) = (select @ q39 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3139, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q40 @ X0) = (select @ q39 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2661, zip_derived_cl849])).
% 10.43/2.43 thf(zip_derived_cl3777, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q39 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3776, zip_derived_cl3139])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3778, plain, (((index_297) = (select @ q39 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3777, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl382, plain,
% 10.43/2.43 (((q39) = (store @ queue_197 @ tail @ index_198))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl251, zip_derived_cl345])).
% 10.43/2.43 thf(zip_derived_cl1008, plain, (((index_207) = (index_198))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1006, zip_derived_cl150])).
% 10.43/2.43 thf(zip_derived_cl1222, plain,
% 10.43/2.43 (((q39) = (store @ queue_197 @ tail @ index_207))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl382, zip_derived_cl1008])).
% 10.43/2.43 thf(zip_derived_cl1728, plain, (((index_183) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1235, zip_derived_cl1717, zip_derived_cl1205])).
% 10.43/2.43 thf(zip_derived_cl1768, plain, (((index_165) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1205, zip_derived_cl1754, zip_derived_cl1187])).
% 10.43/2.43 thf(zip_derived_cl1787, plain, (((index_165) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1728, zip_derived_cl1768])).
% 10.43/2.43 thf(zip_derived_cl1819, plain, (((index_147) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1187, zip_derived_cl1802, zip_derived_cl1086])).
% 10.43/2.43 thf(zip_derived_cl1843, plain, (((index_147) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1787, zip_derived_cl1819])).
% 10.43/2.43 thf(zip_derived_cl1877, plain, (((index_123) = (index_147))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1086, zip_derived_cl1858, zip_derived_cl990])).
% 10.43/2.43 thf(zip_derived_cl1905, plain, (((index_123) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1843, zip_derived_cl1877])).
% 10.43/2.43 thf(zip_derived_cl1942, plain, (((index_105) = (index_123))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl990, zip_derived_cl1920, zip_derived_cl936])).
% 10.43/2.43 thf(zip_derived_cl1973, plain, (((index_105) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1905, zip_derived_cl1942])).
% 10.43/2.43 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.43 thf(zip_derived_cl2271, plain, (((index_9) = (index_207))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1973, zip_derived_cl2241])).
% 10.43/2.43 thf(zip_derived_cl2651, plain,
% 10.43/2.43 (((q39) = (store @ queue_197 @ tail @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1222, zip_derived_cl2271])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2653, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q39 @ X0) = (select @ queue_197 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2651, zip_derived_cl1])).
% 10.43/2.43 thf(hyp240, axiom, (( queue_197 ) = ( store @ q38 @ seq @ earray_196 ))).
% 10.43/2.43 thf(zip_derived_cl250, plain,
% 10.43/2.43 (((queue_197) = (store @ q38 @ seq @ earray_196))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp240])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl845, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_197 @ X0) = (select @ q38 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3129, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q39 @ X0) = (select @ q38 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2653, zip_derived_cl845])).
% 10.43/2.43 thf(zip_derived_cl3779, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q38 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3778, zip_derived_cl3129])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3780, plain, (((index_297) = (select @ q38 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3779, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl381, plain,
% 10.43/2.43 (((q38) = (store @ queue_191 @ tail @ index_192))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl249, zip_derived_cl344])).
% 10.43/2.43 thf(zip_derived_cl1005, plain, (((index_195) = (index_192))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl1003, zip_derived_cl146])).
% 10.43/2.43 thf(zip_derived_cl1216, plain,
% 10.43/2.43 (((q38) = (store @ queue_191 @ tail @ index_195))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl381, zip_derived_cl1005])).
% 10.43/2.43 thf(zip_derived_cl1741, plain, (((index_177) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1223, zip_derived_cl1728, zip_derived_cl1199])).
% 10.43/2.43 thf(zip_derived_cl1784, plain, (((index_159) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1199, zip_derived_cl1768, zip_derived_cl1119])).
% 10.43/2.43 thf(zip_derived_cl1805, plain, (((index_159) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1741, zip_derived_cl1784])).
% 10.43/2.43 thf(zip_derived_cl1838, plain, (((index_141) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1119, zip_derived_cl1819, zip_derived_cl1065])).
% 10.43/2.43 thf(zip_derived_cl1863, plain, (((index_141) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1805, zip_derived_cl1838])).
% 10.43/2.43 thf(zip_derived_cl1898, plain, (((index_117) = (index_141))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1065, zip_derived_cl1877, zip_derived_cl966])).
% 10.43/2.43 thf(zip_derived_cl1927, plain, (((index_117) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1863, zip_derived_cl1898])).
% 10.43/2.43 thf(zip_derived_cl1964, plain, (((index_99) = (index_117))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl966, zip_derived_cl1942, zip_derived_cl928])).
% 10.43/2.43 thf(zip_derived_cl1997, plain, (((index_99) = (index_195))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1927, zip_derived_cl1964])).
% 10.43/2.43 thf(zip_derived_cl2648, plain,
% 10.43/2.43 (((q38) = (store @ queue_191 @ tail @ index_99))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1216, zip_derived_cl1997])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2650, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q38 @ X0) = (select @ queue_191 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2648, zip_derived_cl1])).
% 10.43/2.43 thf(hyp238, axiom, (( queue_191 ) = ( store @ q37 @ seq @ earray_190 ))).
% 10.43/2.43 thf(zip_derived_cl248, plain,
% 10.43/2.43 (((queue_191) = (store @ q37 @ seq @ earray_190))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp238])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl843, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_191 @ X0) = (select @ q37 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3122, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q38 @ X0) = (select @ q37 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2650, zip_derived_cl843])).
% 10.43/2.43 thf(zip_derived_cl3781, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q37 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3780, zip_derived_cl3122])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3782, plain, (((index_297) = (select @ q37 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3781, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl379, plain,
% 10.43/2.43 (((q37) = (store @ queue_185 @ tail @ index_186))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl343])).
% 10.43/2.43 thf(zip_derived_cl999, plain, (((index_189) = (index_186))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl997, zip_derived_cl144])).
% 10.43/2.43 thf(zip_derived_cl1204, plain,
% 10.43/2.43 (((q37) = (store @ queue_185 @ tail @ index_189))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl379, zip_derived_cl999])).
% 10.43/2.43 thf(zip_derived_cl1754, plain, (((index_171) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1217, zip_derived_cl1741, zip_derived_cl1193])).
% 10.43/2.43 thf(zip_derived_cl1802, plain, (((index_153) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1193, zip_derived_cl1784, zip_derived_cl1095])).
% 10.43/2.43 thf(zip_derived_cl1822, plain, (((index_153) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1754, zip_derived_cl1802])).
% 10.43/2.43 thf(zip_derived_cl1858, plain, (((index_129) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1095, zip_derived_cl1838, zip_derived_cl1034])).
% 10.43/2.43 thf(zip_derived_cl1882, plain, (((index_129) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1822, zip_derived_cl1858])).
% 10.43/2.43 thf(zip_derived_cl1920, plain, (((index_111) = (index_129))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1034, zip_derived_cl1898, zip_derived_cl957])).
% 10.43/2.43 thf(zip_derived_cl1949, plain, (((index_111) = (index_189))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1882, zip_derived_cl1920])).
% 10.43/2.43 thf(zip_derived_cl2642, plain,
% 10.43/2.43 (((q37) = (store @ queue_185 @ tail @ index_111))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1204, zip_derived_cl1949])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2644, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q37 @ X0) = (select @ queue_185 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2642, zip_derived_cl1])).
% 10.43/2.43 thf(hyp235, axiom, (( queue_185 ) = ( store @ q36 @ seq @ earray_184 ))).
% 10.43/2.43 thf(zip_derived_cl245, plain,
% 10.43/2.43 (((queue_185) = (store @ q36 @ seq @ earray_184))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp235])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl841, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_185 @ X0) = (select @ q36 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl245, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3107, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q37 @ X0) = (select @ q36 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2644, zip_derived_cl841])).
% 10.43/2.43 thf(zip_derived_cl3783, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q36 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3782, zip_derived_cl3107])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3784, plain, (((index_297) = (select @ q36 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3783, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl378, plain,
% 10.43/2.43 (((q36) = (store @ queue_179 @ tail @ index_180))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl244, zip_derived_cl342])).
% 10.43/2.43 thf(zip_derived_cl996, plain, (((index_183) = (index_180))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl994, zip_derived_cl142])).
% 10.43/2.43 thf(zip_derived_cl1198, plain,
% 10.43/2.43 (((q36) = (store @ queue_179 @ tail @ index_183))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl378, zip_derived_cl996])).
% 10.43/2.43 thf(zip_derived_cl1768, plain, (((index_165) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1205, zip_derived_cl1754, zip_derived_cl1187])).
% 10.43/2.43 thf(zip_derived_cl1819, plain, (((index_147) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1187, zip_derived_cl1802, zip_derived_cl1086])).
% 10.43/2.43 thf(zip_derived_cl1841, plain, (((index_147) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1768, zip_derived_cl1819])).
% 10.43/2.43 thf(zip_derived_cl1877, plain, (((index_123) = (index_147))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1086, zip_derived_cl1858, zip_derived_cl990])).
% 10.43/2.43 thf(zip_derived_cl1903, plain, (((index_123) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1841, zip_derived_cl1877])).
% 10.43/2.43 thf(zip_derived_cl1942, plain, (((index_105) = (index_123))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl990, zip_derived_cl1920, zip_derived_cl936])).
% 10.43/2.43 thf(zip_derived_cl1971, plain, (((index_105) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1903, zip_derived_cl1942])).
% 10.43/2.43 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.43 thf(zip_derived_cl2269, plain, (((index_9) = (index_183))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1971, zip_derived_cl2241])).
% 10.43/2.43 thf(zip_derived_cl2639, plain,
% 10.43/2.43 (((q36) = (store @ queue_179 @ tail @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1198, zip_derived_cl2269])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2641, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q36 @ X0) = (select @ queue_179 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2639, zip_derived_cl1])).
% 10.43/2.43 thf(hyp233, axiom, (( queue_179 ) = ( store @ q35 @ seq @ earray_178 ))).
% 10.43/2.43 thf(zip_derived_cl243, plain,
% 10.43/2.43 (((queue_179) = (store @ q35 @ seq @ earray_178))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp233])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl836, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_179 @ X0) = (select @ q35 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl243, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3099, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q36 @ X0) = (select @ q35 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2641, zip_derived_cl836])).
% 10.43/2.43 thf(zip_derived_cl3785, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q35 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3784, zip_derived_cl3099])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3786, plain, (((index_297) = (select @ q35 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3785, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl377, plain,
% 10.43/2.43 (((q35) = (store @ queue_173 @ tail @ index_174))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl341])).
% 10.43/2.43 thf(zip_derived_cl987, plain, (((index_177) = (index_174))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl139])).
% 10.43/2.43 thf(zip_derived_cl1192, plain,
% 10.43/2.43 (((q35) = (store @ queue_173 @ tail @ index_177))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl377, zip_derived_cl987])).
% 10.43/2.43 thf(zip_derived_cl1784, plain, (((index_159) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1199, zip_derived_cl1768, zip_derived_cl1119])).
% 10.43/2.43 thf(zip_derived_cl1838, plain, (((index_141) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1119, zip_derived_cl1819, zip_derived_cl1065])).
% 10.43/2.43 thf(zip_derived_cl1861, plain, (((index_141) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1784, zip_derived_cl1838])).
% 10.43/2.43 thf(zip_derived_cl1898, plain, (((index_117) = (index_141))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1065, zip_derived_cl1877, zip_derived_cl966])).
% 10.43/2.43 thf(zip_derived_cl1925, plain, (((index_117) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1861, zip_derived_cl1898])).
% 10.43/2.43 thf(zip_derived_cl1964, plain, (((index_99) = (index_117))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl966, zip_derived_cl1942, zip_derived_cl928])).
% 10.43/2.43 thf(zip_derived_cl1995, plain, (((index_99) = (index_177))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1925, zip_derived_cl1964])).
% 10.43/2.43 thf(zip_derived_cl2634, plain,
% 10.43/2.43 (((q35) = (store @ queue_173 @ tail @ index_99))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1192, zip_derived_cl1995])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2636, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q35 @ X0) = (select @ queue_173 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2634, zip_derived_cl1])).
% 10.43/2.43 thf(hyp231, axiom, (( queue_173 ) = ( store @ q34 @ seq @ earray_172 ))).
% 10.43/2.43 thf(zip_derived_cl241, plain,
% 10.43/2.43 (((queue_173) = (store @ q34 @ seq @ earray_172))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp231])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl834, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_173 @ X0) = (select @ q34 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl241, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3089, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q35 @ X0) = (select @ q34 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2636, zip_derived_cl834])).
% 10.43/2.43 thf(zip_derived_cl3787, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q34 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3786, zip_derived_cl3089])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3788, plain, (((index_297) = (select @ q34 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3787, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl376, plain,
% 10.43/2.43 (((q34) = (store @ queue_167 @ tail @ index_168))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl340])).
% 10.43/2.43 thf(zip_derived_cl983, plain, (((index_171) = (index_168))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl981, zip_derived_cl137])).
% 10.43/2.43 thf(zip_derived_cl1186, plain,
% 10.43/2.43 (((q34) = (store @ queue_167 @ tail @ index_171))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl376, zip_derived_cl983])).
% 10.43/2.43 thf(zip_derived_cl1802, plain, (((index_153) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1193, zip_derived_cl1784, zip_derived_cl1095])).
% 10.43/2.43 thf(zip_derived_cl1858, plain, (((index_129) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1095, zip_derived_cl1838, zip_derived_cl1034])).
% 10.43/2.43 thf(zip_derived_cl1880, plain, (((index_129) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1802, zip_derived_cl1858])).
% 10.43/2.43 thf(zip_derived_cl1920, plain, (((index_111) = (index_129))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1034, zip_derived_cl1898, zip_derived_cl957])).
% 10.43/2.43 thf(zip_derived_cl1947, plain, (((index_111) = (index_171))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1880, zip_derived_cl1920])).
% 10.43/2.43 thf(zip_derived_cl2631, plain,
% 10.43/2.43 (((q34) = (store @ queue_167 @ tail @ index_111))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1186, zip_derived_cl1947])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2633, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q34 @ X0) = (select @ queue_167 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2631, zip_derived_cl1])).
% 10.43/2.43 thf(hyp228, axiom, (( queue_167 ) = ( store @ q33 @ seq @ earray_166 ))).
% 10.43/2.43 thf(zip_derived_cl238, plain,
% 10.43/2.43 (((queue_167) = (store @ q33 @ seq @ earray_166))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp228])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl830, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_167 @ X0) = (select @ q33 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3083, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q34 @ X0) = (select @ q33 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2633, zip_derived_cl830])).
% 10.43/2.43 thf(zip_derived_cl3789, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q33 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3788, zip_derived_cl3083])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3790, plain, (((index_297) = (select @ q33 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3789, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl375, plain,
% 10.43/2.43 (((q33) = (store @ queue_161 @ tail @ index_162))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl339])).
% 10.43/2.43 thf(zip_derived_cl980, plain, (((index_165) = (index_162))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl978, zip_derived_cl135])).
% 10.43/2.43 thf(zip_derived_cl1118, plain,
% 10.43/2.43 (((q33) = (store @ queue_161 @ tail @ index_165))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl375, zip_derived_cl980])).
% 10.43/2.43 thf(zip_derived_cl1819, plain, (((index_147) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1187, zip_derived_cl1802, zip_derived_cl1086])).
% 10.43/2.43 thf(zip_derived_cl1877, plain, (((index_123) = (index_147))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1086, zip_derived_cl1858, zip_derived_cl990])).
% 10.43/2.43 thf(zip_derived_cl1901, plain, (((index_123) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1819, zip_derived_cl1877])).
% 10.43/2.43 thf(zip_derived_cl1942, plain, (((index_105) = (index_123))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl990, zip_derived_cl1920, zip_derived_cl936])).
% 10.43/2.43 thf(zip_derived_cl1969, plain, (((index_105) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1901, zip_derived_cl1942])).
% 10.43/2.43 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.43 thf(zip_derived_cl2267, plain, (((index_9) = (index_165))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1969, zip_derived_cl2241])).
% 10.43/2.43 thf(zip_derived_cl2628, plain,
% 10.43/2.43 (((q33) = (store @ queue_161 @ tail @ index_9))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1118, zip_derived_cl2267])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2630, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q33 @ X0) = (select @ queue_161 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2628, zip_derived_cl1])).
% 10.43/2.43 thf(hyp226, axiom, (( queue_161 ) = ( store @ q32 @ seq @ earray_160 ))).
% 10.43/2.43 thf(zip_derived_cl236, plain,
% 10.43/2.43 (((queue_161) = (store @ q32 @ seq @ earray_160))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp226])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl828, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_161 @ X0) = (select @ q32 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl236, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3071, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q33 @ X0) = (select @ q32 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2630, zip_derived_cl828])).
% 10.43/2.43 thf(zip_derived_cl3791, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q32 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3790, zip_derived_cl3071])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3792, plain, (((index_297) = (select @ q32 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3791, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl374, plain,
% 10.43/2.43 (((q32) = (store @ queue_155 @ tail @ index_156))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl338])).
% 10.43/2.43 thf(zip_derived_cl977, plain, (((index_159) = (index_156))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl975, zip_derived_cl133])).
% 10.43/2.43 thf(zip_derived_cl1094, plain,
% 10.43/2.43 (((q32) = (store @ queue_155 @ tail @ index_159))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl374, zip_derived_cl977])).
% 10.43/2.43 thf(zip_derived_cl1838, plain, (((index_141) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1119, zip_derived_cl1819, zip_derived_cl1065])).
% 10.43/2.43 thf(zip_derived_cl1898, plain, (((index_117) = (index_141))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1065, zip_derived_cl1877, zip_derived_cl966])).
% 10.43/2.43 thf(zip_derived_cl1923, plain, (((index_117) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1838, zip_derived_cl1898])).
% 10.43/2.43 thf(zip_derived_cl1964, plain, (((index_99) = (index_117))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl966, zip_derived_cl1942, zip_derived_cl928])).
% 10.43/2.43 thf(zip_derived_cl1993, plain, (((index_99) = (index_159))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1923, zip_derived_cl1964])).
% 10.43/2.43 thf(zip_derived_cl2625, plain,
% 10.43/2.43 (((q32) = (store @ queue_155 @ tail @ index_99))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1094, zip_derived_cl1993])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2627, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q32 @ X0) = (select @ queue_155 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2625, zip_derived_cl1])).
% 10.43/2.43 thf(hyp224, axiom, (( queue_155 ) = ( store @ q31 @ seq @ earray_154 ))).
% 10.43/2.43 thf(zip_derived_cl234, plain,
% 10.43/2.43 (((queue_155) = (store @ q31 @ seq @ earray_154))),
% 10.43/2.43 inference('cnf', [status(esa)], [hyp224])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl826, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((seq) = (X0)) | ((select @ queue_155 @ X0) = (select @ q31 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl1])).
% 10.43/2.43 thf(zip_derived_cl3067, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0))
% 10.43/2.43 | ((seq) = (X0))
% 10.43/2.43 | ((select @ q32 @ X0) = (select @ q31 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl2627, zip_derived_cl826])).
% 10.43/2.43 thf(zip_derived_cl3793, plain,
% 10.43/2.43 ((((tail) = (head))
% 10.43/2.43 | ((seq) = (head))
% 10.43/2.43 | ((index_297) = (select @ q31 @ head)))),
% 10.43/2.43 inference('s_sup+', [status(thm)],
% 10.43/2.43 [zip_derived_cl3792, zip_derived_cl3067])).
% 10.43/2.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.43 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.43 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.43 thf(zip_derived_cl3794, plain, (((index_297) = (select @ q31 @ head))),
% 10.43/2.43 inference('simplify_reflect-', [status(thm)],
% 10.43/2.43 [zip_derived_cl3793, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.43 thf(zip_derived_cl373, plain,
% 10.43/2.43 (((q31) = (store @ queue_149 @ tail @ index_150))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl233, zip_derived_cl337])).
% 10.43/2.43 thf(zip_derived_cl974, plain, (((index_153) = (index_150))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl972, zip_derived_cl131])).
% 10.43/2.43 thf(zip_derived_cl1085, plain,
% 10.43/2.43 (((q31) = (store @ queue_149 @ tail @ index_153))),
% 10.43/2.43 inference('demod', [status(thm)], [zip_derived_cl373, zip_derived_cl974])).
% 10.43/2.43 thf(zip_derived_cl1858, plain, (((index_129) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1095, zip_derived_cl1838, zip_derived_cl1034])).
% 10.43/2.43 thf(zip_derived_cl1920, plain, (((index_111) = (index_129))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1034, zip_derived_cl1898, zip_derived_cl957])).
% 10.43/2.43 thf(zip_derived_cl1945, plain, (((index_111) = (index_153))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1858, zip_derived_cl1920])).
% 10.43/2.43 thf(zip_derived_cl2622, plain,
% 10.43/2.43 (((q31) = (store @ queue_149 @ tail @ index_111))),
% 10.43/2.43 inference('demod', [status(thm)],
% 10.43/2.43 [zip_derived_cl1085, zip_derived_cl1945])).
% 10.43/2.43 thf(zip_derived_cl1, plain,
% 10.43/2.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.43 (((X1) = (X0))
% 10.43/2.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.43 inference('cnf', [status(esa)], [a2])).
% 10.43/2.43 thf(zip_derived_cl2624, plain,
% 10.43/2.43 (![X0 : $i]:
% 10.43/2.43 (((tail) = (X0)) | ((select @ q31 @ X0) = (select @ queue_149 @ X0)))),
% 10.43/2.43 inference('s_sup+', [status(thm)], [zip_derived_cl2622, zip_derived_cl1])).
% 10.43/2.43 thf(hyp222, axiom, (( queue_149 ) = ( store @ q30 @ seq @ earray_148 ))).
% 10.43/2.44 thf(zip_derived_cl232, plain,
% 10.43/2.44 (((queue_149) = (store @ q30 @ seq @ earray_148))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp222])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl821, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_149 @ X0) = (select @ q30 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3054, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q31 @ X0) = (select @ q30 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2624, zip_derived_cl821])).
% 10.43/2.44 thf(zip_derived_cl3795, plain,
% 10.43/2.44 ((((tail) = (head))
% 10.43/2.44 | ((seq) = (head))
% 10.43/2.44 | ((index_297) = (select @ q30 @ head)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3794, zip_derived_cl3054])).
% 10.43/2.44 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl3796, plain, (((index_297) = (select @ q30 @ head))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3795, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.44 thf(zip_derived_cl372, plain,
% 10.43/2.44 (((q30) = (store @ queue_143 @ tail @ index_144))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl231, zip_derived_cl336])).
% 10.43/2.44 thf(zip_derived_cl971, plain, (((index_147) = (index_144))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl969, zip_derived_cl128])).
% 10.43/2.44 thf(zip_derived_cl1064, plain,
% 10.43/2.44 (((q30) = (store @ queue_143 @ tail @ index_147))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl971])).
% 10.43/2.44 thf(zip_derived_cl1877, plain, (((index_123) = (index_147))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1086, zip_derived_cl1858, zip_derived_cl990])).
% 10.43/2.44 thf(zip_derived_cl1942, plain, (((index_105) = (index_123))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl990, zip_derived_cl1920, zip_derived_cl936])).
% 10.43/2.44 thf(zip_derived_cl1967, plain, (((index_105) = (index_147))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1877, zip_derived_cl1942])).
% 10.43/2.44 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.44 thf(zip_derived_cl2265, plain, (((index_9) = (index_147))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1967, zip_derived_cl2241])).
% 10.43/2.44 thf(zip_derived_cl2617, plain,
% 10.43/2.44 (((q30) = (store @ queue_143 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1064, zip_derived_cl2265])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2619, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q30 @ X0) = (select @ queue_143 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2617, zip_derived_cl1])).
% 10.43/2.44 thf(hyp220, axiom, (( queue_143 ) = ( store @ q29 @ seq @ earray_142 ))).
% 10.43/2.44 thf(zip_derived_cl230, plain,
% 10.43/2.44 (((queue_143) = (store @ q29 @ seq @ earray_142))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp220])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl819, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_143 @ X0) = (select @ q29 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3051, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q30 @ X0) = (select @ q29 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2619, zip_derived_cl819])).
% 10.43/2.44 thf(zip_derived_cl3797, plain,
% 10.43/2.44 ((((tail) = (head))
% 10.43/2.44 | ((seq) = (head))
% 10.43/2.44 | ((index_297) = (select @ q29 @ head)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3796, zip_derived_cl3051])).
% 10.43/2.44 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl3798, plain, (((index_297) = (select @ q29 @ head))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3797, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.44 thf(zip_derived_cl370, plain,
% 10.43/2.44 (((q29) = (store @ queue_131 @ tail @ index_132))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl227, zip_derived_cl334])).
% 10.43/2.44 thf(zip_derived_cl954, plain, (((index_141) = (index_132))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl952, zip_derived_cl126])).
% 10.43/2.44 thf(zip_derived_cl1033, plain,
% 10.43/2.44 (((q29) = (store @ queue_131 @ tail @ index_141))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl370, zip_derived_cl954])).
% 10.43/2.44 thf(zip_derived_cl1898, plain, (((index_117) = (index_141))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1065, zip_derived_cl1877, zip_derived_cl966])).
% 10.43/2.44 thf(zip_derived_cl1964, plain, (((index_99) = (index_117))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl966, zip_derived_cl1942, zip_derived_cl928])).
% 10.43/2.44 thf(zip_derived_cl1991, plain, (((index_99) = (index_141))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1898, zip_derived_cl1964])).
% 10.43/2.44 thf(zip_derived_cl2611, plain,
% 10.43/2.44 (((q29) = (store @ queue_131 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1033, zip_derived_cl1991])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2613, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q29 @ X0) = (select @ queue_131 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2611, zip_derived_cl1])).
% 10.43/2.44 thf(hyp216, axiom, (( queue_131 ) = ( store @ q28 @ seq @ earray_130 ))).
% 10.43/2.44 thf(zip_derived_cl226, plain,
% 10.43/2.44 (((queue_131) = (store @ q28 @ seq @ earray_130))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp216])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl815, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_131 @ X0) = (select @ q28 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl226, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3035, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q29 @ X0) = (select @ q28 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2613, zip_derived_cl815])).
% 10.43/2.44 thf(zip_derived_cl3802, plain,
% 10.43/2.44 ((((tail) = (head))
% 10.43/2.44 | ((seq) = (head))
% 10.43/2.44 | ((index_297) = (select @ q28 @ head)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3798, zip_derived_cl3035])).
% 10.43/2.44 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl3803, plain, (((index_297) = (select @ q28 @ head))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3802, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.44 thf(zip_derived_cl368, plain,
% 10.43/2.44 (((q28) = (store @ queue_125 @ tail @ index_126))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl224, zip_derived_cl333])).
% 10.43/2.44 thf(zip_derived_cl948, plain, (((index_129) = (index_126))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl946, zip_derived_cl122])).
% 10.43/2.44 thf(zip_derived_cl989, plain,
% 10.43/2.44 (((q28) = (store @ queue_125 @ tail @ index_129))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl368, zip_derived_cl948])).
% 10.43/2.44 thf(zip_derived_cl1920, plain, (((index_111) = (index_129))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1034, zip_derived_cl1898, zip_derived_cl957])).
% 10.43/2.44 thf(zip_derived_cl2605, plain,
% 10.43/2.44 (((q28) = (store @ queue_125 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl989, zip_derived_cl1920])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2607, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q28 @ X0) = (select @ queue_125 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2605, zip_derived_cl1])).
% 10.43/2.44 thf(hyp213, axiom, (( queue_125 ) = ( store @ q27 @ seq @ earray_124 ))).
% 10.43/2.44 thf(zip_derived_cl223, plain,
% 10.43/2.44 (((queue_125) = (store @ q27 @ seq @ earray_124))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp213])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl813, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_125 @ X0) = (select @ q27 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3019, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q28 @ X0) = (select @ q27 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2607, zip_derived_cl813])).
% 10.43/2.44 thf(zip_derived_cl3806, plain,
% 10.43/2.44 ((((tail) = (head))
% 10.43/2.44 | ((seq) = (head))
% 10.43/2.44 | ((index_297) = (select @ q27 @ head)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3803, zip_derived_cl3019])).
% 10.43/2.44 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl3807, plain, (((index_297) = (select @ q27 @ head))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3806, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.44 thf(zip_derived_cl367, plain,
% 10.43/2.44 (((q27) = (store @ queue_119 @ tail @ index_120))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl332])).
% 10.43/2.44 thf(zip_derived_cl945, plain, (((index_123) = (index_120))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl943, zip_derived_cl120])).
% 10.43/2.44 thf(zip_derived_cl965, plain,
% 10.43/2.44 (((q27) = (store @ queue_119 @ tail @ index_123))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl945])).
% 10.43/2.44 thf(zip_derived_cl1942, plain, (((index_105) = (index_123))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl990, zip_derived_cl1920, zip_derived_cl936])).
% 10.43/2.44 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.44 thf(zip_derived_cl2263, plain, (((index_9) = (index_123))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1942, zip_derived_cl2241])).
% 10.43/2.44 thf(zip_derived_cl2600, plain,
% 10.43/2.44 (((q27) = (store @ queue_119 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl965, zip_derived_cl2263])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2602, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q27 @ X0) = (select @ queue_119 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2600, zip_derived_cl1])).
% 10.43/2.44 thf(hyp211, axiom, (( queue_119 ) = ( store @ q26 @ seq @ earray_118 ))).
% 10.43/2.44 thf(zip_derived_cl221, plain,
% 10.43/2.44 (((queue_119) = (store @ q26 @ seq @ earray_118))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp211])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl811, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_119 @ X0) = (select @ q26 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl221, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3011, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q27 @ X0) = (select @ q26 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2602, zip_derived_cl811])).
% 10.43/2.44 thf(zip_derived_cl3808, plain,
% 10.43/2.44 ((((tail) = (head))
% 10.43/2.44 | ((seq) = (head))
% 10.43/2.44 | ((index_297) = (select @ q26 @ head)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3807, zip_derived_cl3011])).
% 10.43/2.44 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl3809, plain, (((index_297) = (select @ q26 @ head))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3808, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.44 thf(zip_derived_cl366, plain,
% 10.43/2.44 (((q26) = (store @ queue_113 @ tail @ index_114))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl331])).
% 10.43/2.44 thf(zip_derived_cl942, plain, (((index_117) = (index_114))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl940, zip_derived_cl117])).
% 10.43/2.44 thf(zip_derived_cl956, plain,
% 10.43/2.44 (((q26) = (store @ queue_113 @ tail @ index_117))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl366, zip_derived_cl942])).
% 10.43/2.44 thf(zip_derived_cl1964, plain, (((index_99) = (index_117))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl966, zip_derived_cl1942, zip_derived_cl928])).
% 10.43/2.44 thf(zip_derived_cl2597, plain,
% 10.43/2.44 (((q26) = (store @ queue_113 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl956, zip_derived_cl1964])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2599, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q26 @ X0) = (select @ queue_113 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2597, zip_derived_cl1])).
% 10.43/2.44 thf(hyp209, axiom, (( queue_113 ) = ( store @ q25 @ seq @ earray_112 ))).
% 10.43/2.44 thf(zip_derived_cl219, plain,
% 10.43/2.44 (((queue_113) = (store @ q25 @ seq @ earray_112))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp209])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl806, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_113 @ X0) = (select @ q25 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl219, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3001, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q26 @ X0) = (select @ q25 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2599, zip_derived_cl806])).
% 10.43/2.44 thf(zip_derived_cl3810, plain,
% 10.43/2.44 ((((tail) = (head))
% 10.43/2.44 | ((seq) = (head))
% 10.43/2.44 | ((index_297) = (select @ q25 @ head)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3809, zip_derived_cl3001])).
% 10.43/2.44 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl3811, plain, (((index_297) = (select @ q25 @ head))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3810, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.44 thf(zip_derived_cl365, plain,
% 10.43/2.44 (((q25) = (store @ queue_107 @ tail @ index_108))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl330])).
% 10.43/2.44 thf(zip_derived_cl933, plain, (((index_111) = (index_108))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl115])).
% 10.43/2.44 thf(zip_derived_cl935, plain,
% 10.43/2.44 (((q25) = (store @ queue_107 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl365, zip_derived_cl933])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2596, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q25 @ X0) = (select @ queue_107 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl935, zip_derived_cl1])).
% 10.43/2.44 thf(hyp206, axiom, (( queue_107 ) = ( store @ q24 @ seq @ earray_106 ))).
% 10.43/2.44 thf(zip_derived_cl216, plain,
% 10.43/2.44 (((queue_107) = (store @ q24 @ seq @ earray_106))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp206])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl802, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_107 @ X0) = (select @ q24 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl2995, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q25 @ X0) = (select @ q24 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2596, zip_derived_cl802])).
% 10.43/2.44 thf(zip_derived_cl3812, plain,
% 10.43/2.44 ((((tail) = (head))
% 10.43/2.44 | ((seq) = (head))
% 10.43/2.44 | ((index_297) = (select @ q24 @ head)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3811, zip_derived_cl2995])).
% 10.43/2.44 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl3813, plain, (((index_297) = (select @ q24 @ head))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3812, zip_derived_cl3, zip_derived_cl2])).
% 10.43/2.44 thf(zip_derived_cl412, plain,
% 10.43/2.44 (((q23) = (store @ queue_95 @ tail @ index_96))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl311, zip_derived_cl328])).
% 10.43/2.44 thf(zip_derived_cl1137, plain, (((index_99) = (index_96))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1135, zip_derived_cl212])).
% 10.43/2.44 thf(zip_derived_cl1396, plain,
% 10.43/2.44 (((q23) = (store @ queue_95 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl412, zip_derived_cl1137])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2750, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q23 @ X0) = (select @ queue_95 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl1396, zip_derived_cl1])).
% 10.43/2.44 thf(hyp300, axiom, (( queue_95 ) = ( store @ q22 @ seq @ earray_94 ))).
% 10.43/2.44 thf(zip_derived_cl310, plain,
% 10.43/2.44 (((queue_95) = (store @ q22 @ seq @ earray_94))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp300])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl920, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_95 @ X0) = (select @ q22 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl310, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3358, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q23 @ X0) = (select @ q22 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2750, zip_derived_cl920])).
% 10.43/2.44 thf(zip_derived_cl364, plain,
% 10.43/2.44 (((q24) = (store @ queue_101 @ tail @ index_102))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl215, zip_derived_cl329])).
% 10.43/2.44 thf(zip_derived_cl925, plain, (((index_105) = (index_102))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl923, zip_derived_cl113])).
% 10.43/2.44 thf(zip_derived_cl927, plain,
% 10.43/2.44 (((q24) = (store @ queue_101 @ tail @ index_105))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl364, zip_derived_cl925])).
% 10.43/2.44 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.44 thf(zip_derived_cl2592, plain,
% 10.43/2.44 (((q24) = (store @ queue_101 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl927, zip_derived_cl2241])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2594, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q24 @ X0) = (select @ queue_101 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2592, zip_derived_cl1])).
% 10.43/2.44 thf(hyp204, axiom, (( queue_101 ) = ( store @ q23 @ seq @ earray_100 ))).
% 10.43/2.44 thf(zip_derived_cl214, plain,
% 10.43/2.44 (((queue_101) = (store @ q23 @ seq @ earray_100))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp204])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl800, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_101 @ X0) = (select @ q23 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl2987, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q23 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2594, zip_derived_cl800])).
% 10.43/2.44 thf(zip_derived_cl3742, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q22 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3358, zip_derived_cl2987])).
% 10.43/2.44 thf(zip_derived_cl3745, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q22 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3742])).
% 10.43/2.44 thf(zip_derived_cl411, plain,
% 10.43/2.44 (((q22) = (store @ queue_89 @ tail @ index_90))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl309, zip_derived_cl327])).
% 10.43/2.44 thf(zip_derived_cl1134, plain, (((index_93) = (index_90))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1132, zip_derived_cl210])).
% 10.43/2.44 thf(zip_derived_cl1388, plain,
% 10.43/2.44 (((q22) = (store @ queue_89 @ tail @ index_93))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl411, zip_derived_cl1134])).
% 10.43/2.44 thf(zip_derived_cl2217, plain, (((index_93) = (index_15))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1387, zip_derived_cl2208, zip_derived_cl1012])).
% 10.43/2.44 thf(zip_derived_cl114, plain, (((index_108) = (s @ index_105))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp104])).
% 10.43/2.44 thf(zip_derived_cl933, plain, (((index_111) = (index_108))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl115])).
% 10.43/2.44 thf(zip_derived_cl934, plain, (((index_111) = (s @ index_105))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl933])).
% 10.43/2.44 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.44 thf(zip_derived_cl1012, plain, (((index_15) = (s @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl951])).
% 10.43/2.44 thf(zip_derived_cl2260, plain, (((index_111) = (index_15))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl934, zip_derived_cl2241, zip_derived_cl1012])).
% 10.43/2.44 thf(zip_derived_cl2295, plain, (((index_93) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2217, zip_derived_cl2260])).
% 10.43/2.44 thf(zip_derived_cl2746, plain,
% 10.43/2.44 (((q22) = (store @ queue_89 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1388, zip_derived_cl2295])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2748, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q22 @ X0) = (select @ queue_89 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2746, zip_derived_cl1])).
% 10.43/2.44 thf(hyp298, axiom, (( queue_89 ) = ( store @ q21 @ seq @ earray_88 ))).
% 10.43/2.44 thf(zip_derived_cl308, plain,
% 10.43/2.44 (((queue_89) = (store @ q21 @ seq @ earray_88))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp298])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl918, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_89 @ X0) = (select @ q21 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl308, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3354, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q22 @ X0) = (select @ q21 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2748, zip_derived_cl918])).
% 10.43/2.44 thf(zip_derived_cl3828, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q21 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3745, zip_derived_cl3354])).
% 10.43/2.44 thf(zip_derived_cl3831, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q21 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3828])).
% 10.43/2.44 thf(zip_derived_cl410, plain,
% 10.43/2.44 (((q21) = (store @ queue_83 @ tail @ index_84))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl307, zip_derived_cl326])).
% 10.43/2.44 thf(zip_derived_cl1131, plain, (((index_87) = (index_84))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1129, zip_derived_cl207])).
% 10.43/2.44 thf(zip_derived_cl1382, plain,
% 10.43/2.44 (((q21) = (store @ queue_83 @ tail @ index_87))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl410, zip_derived_cl1131])).
% 10.43/2.44 thf(zip_derived_cl2208, plain, (((index_87) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1381, zip_derived_cl2199, zip_derived_cl1535])).
% 10.43/2.44 thf(zip_derived_cl2743, plain,
% 10.43/2.44 (((q21) = (store @ queue_83 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1382, zip_derived_cl2208])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2745, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q21 @ X0) = (select @ queue_83 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2743, zip_derived_cl1])).
% 10.43/2.44 thf(hyp296, axiom, (( queue_83 ) = ( store @ q20 @ seq @ earray_82 ))).
% 10.43/2.44 thf(zip_derived_cl306, plain,
% 10.43/2.44 (((queue_83) = (store @ q20 @ seq @ earray_82))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp296])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl916, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_83 @ X0) = (select @ q20 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl306, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3343, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q21 @ X0) = (select @ q20 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2745, zip_derived_cl916])).
% 10.43/2.44 thf(zip_derived_cl3843, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q20 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3831, zip_derived_cl3343])).
% 10.43/2.44 thf(zip_derived_cl3846, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q20 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3843])).
% 10.43/2.44 thf(zip_derived_cl409, plain,
% 10.43/2.44 (((q20) = (store @ queue_77 @ tail @ index_78))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl305, zip_derived_cl325])).
% 10.43/2.44 thf(zip_derived_cl1128, plain, (((index_81) = (index_78))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1126, zip_derived_cl205])).
% 10.43/2.44 thf(zip_derived_cl1374, plain,
% 10.43/2.44 (((q20) = (store @ queue_77 @ tail @ index_81))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl409, zip_derived_cl1128])).
% 10.43/2.44 thf(zip_derived_cl2199, plain, (((index_81) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1373, zip_derived_cl2191, zip_derived_cl1209])).
% 10.43/2.44 thf(zip_derived_cl2226, plain, (((index_99) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1395, zip_derived_cl2217, zip_derived_cl1209])).
% 10.43/2.44 thf(zip_derived_cl2250, plain, (((index_81) = (index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2199, zip_derived_cl2226])).
% 10.43/2.44 thf(zip_derived_cl2740, plain,
% 10.43/2.44 (((q20) = (store @ queue_77 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1374, zip_derived_cl2250])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2742, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q20 @ X0) = (select @ queue_77 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2740, zip_derived_cl1])).
% 10.43/2.44 thf(hyp294, axiom, (( queue_77 ) = ( store @ q19 @ seq @ earray_76 ))).
% 10.43/2.44 thf(zip_derived_cl304, plain,
% 10.43/2.44 (((queue_77) = (store @ q19 @ seq @ earray_76))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp294])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl911, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_77 @ X0) = (select @ q19 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl304, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3340, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q20 @ X0) = (select @ q19 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2742, zip_derived_cl911])).
% 10.43/2.44 thf(zip_derived_cl3857, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q19 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3846, zip_derived_cl3340])).
% 10.43/2.44 thf(zip_derived_cl3860, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q19 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3857])).
% 10.43/2.44 thf(zip_derived_cl406, plain,
% 10.43/2.44 (((q19) = (store @ queue_65 @ tail @ index_66))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl300, zip_derived_cl323])).
% 10.43/2.44 thf(zip_derived_cl1112, plain, (((index_75) = (index_66))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1110, zip_derived_cl203])).
% 10.43/2.44 thf(zip_derived_cl1359, plain,
% 10.43/2.44 (((q19) = (store @ queue_65 @ tail @ index_75))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl406, zip_derived_cl1112])).
% 10.43/2.44 thf(zip_derived_cl2191, plain, (((index_75) = (index_15))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1358, zip_derived_cl2181, zip_derived_cl1012])).
% 10.43/2.44 thf(zip_derived_cl2260, plain, (((index_111) = (index_15))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl934, zip_derived_cl2241, zip_derived_cl1012])).
% 10.43/2.44 thf(zip_derived_cl2293, plain, (((index_75) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2191, zip_derived_cl2260])).
% 10.43/2.44 thf(zip_derived_cl2729, plain,
% 10.43/2.44 (((q19) = (store @ queue_65 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1359, zip_derived_cl2293])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2731, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q19 @ X0) = (select @ queue_65 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2729, zip_derived_cl1])).
% 10.43/2.44 thf(hyp289, axiom, (( queue_65 ) = ( store @ q18 @ seq @ earray_64 ))).
% 10.43/2.44 thf(zip_derived_cl299, plain,
% 10.43/2.44 (((queue_65) = (store @ q18 @ seq @ earray_64))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp289])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl907, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_65 @ X0) = (select @ q18 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl299, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3307, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q19 @ X0) = (select @ q18 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2731, zip_derived_cl907])).
% 10.43/2.44 thf(zip_derived_cl3872, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q18 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3860, zip_derived_cl3307])).
% 10.43/2.44 thf(zip_derived_cl3875, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q18 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3872])).
% 10.43/2.44 thf(zip_derived_cl405, plain,
% 10.43/2.44 (((q18) = (store @ queue_59 @ tail @ index_60))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl298, zip_derived_cl322])).
% 10.43/2.44 thf(zip_derived_cl1109, plain, (((index_63) = (index_60))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1107, zip_derived_cl199])).
% 10.43/2.44 thf(zip_derived_cl1354, plain,
% 10.43/2.44 (((q18) = (store @ queue_59 @ tail @ index_63))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl405, zip_derived_cl1109])).
% 10.43/2.44 thf(zip_derived_cl2181, plain, (((index_63) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1353, zip_derived_cl2170, zip_derived_cl1535])).
% 10.43/2.44 thf(zip_derived_cl2726, plain,
% 10.43/2.44 (((q18) = (store @ queue_59 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1354, zip_derived_cl2181])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2728, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q18 @ X0) = (select @ queue_59 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2726, zip_derived_cl1])).
% 10.43/2.44 thf(hyp287, axiom, (( queue_59 ) = ( store @ q17 @ seq @ earray_58 ))).
% 10.43/2.44 thf(zip_derived_cl297, plain,
% 10.43/2.44 (((queue_59) = (store @ q17 @ seq @ earray_58))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp287])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl905, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_59 @ X0) = (select @ q17 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl297, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3304, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q18 @ X0) = (select @ q17 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2728, zip_derived_cl905])).
% 10.43/2.44 thf(zip_derived_cl3887, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q17 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3875, zip_derived_cl3304])).
% 10.43/2.44 thf(zip_derived_cl3890, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q17 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3887])).
% 10.43/2.44 thf(zip_derived_cl404, plain,
% 10.43/2.44 (((q17) = (store @ queue_53 @ tail @ index_54))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl296, zip_derived_cl321])).
% 10.43/2.44 thf(zip_derived_cl1106, plain, (((index_57) = (index_54))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1104, zip_derived_cl196])).
% 10.43/2.44 thf(zip_derived_cl1349, plain,
% 10.43/2.44 (((q17) = (store @ queue_53 @ tail @ index_57))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl404, zip_derived_cl1106])).
% 10.43/2.44 thf(zip_derived_cl2170, plain, (((index_57) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1348, zip_derived_cl2160, zip_derived_cl1209])).
% 10.43/2.44 thf(zip_derived_cl2226, plain, (((index_99) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1395, zip_derived_cl2217, zip_derived_cl1209])).
% 10.43/2.44 thf(zip_derived_cl2248, plain, (((index_57) = (index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2170, zip_derived_cl2226])).
% 10.43/2.44 thf(zip_derived_cl2723, plain,
% 10.43/2.44 (((q17) = (store @ queue_53 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1349, zip_derived_cl2248])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2725, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q17 @ X0) = (select @ queue_53 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2723, zip_derived_cl1])).
% 10.43/2.44 thf(hyp285, axiom, (( queue_53 ) = ( store @ q16 @ seq @ earray_52 ))).
% 10.43/2.44 thf(zip_derived_cl295, plain,
% 10.43/2.44 (((queue_53) = (store @ q16 @ seq @ earray_52))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp285])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl903, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_53 @ X0) = (select @ q16 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl295, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3296, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q17 @ X0) = (select @ q16 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2725, zip_derived_cl903])).
% 10.43/2.44 thf(zip_derived_cl3901, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q16 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3890, zip_derived_cl3296])).
% 10.43/2.44 thf(zip_derived_cl3904, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q16 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3901])).
% 10.43/2.44 thf(zip_derived_cl403, plain,
% 10.43/2.44 (((q16) = (store @ queue_47 @ tail @ index_48))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl293, zip_derived_cl320])).
% 10.43/2.44 thf(zip_derived_cl1103, plain, (((index_51) = (index_48))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1101, zip_derived_cl194])).
% 10.43/2.44 thf(zip_derived_cl1344, plain,
% 10.43/2.44 (((q16) = (store @ queue_47 @ tail @ index_51))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl1103])).
% 10.43/2.44 thf(zip_derived_cl2160, plain, (((index_51) = (index_15))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1343, zip_derived_cl2150, zip_derived_cl1012])).
% 10.43/2.44 thf(zip_derived_cl2260, plain, (((index_111) = (index_15))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl934, zip_derived_cl2241, zip_derived_cl1012])).
% 10.43/2.44 thf(zip_derived_cl2291, plain, (((index_51) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2160, zip_derived_cl2260])).
% 10.43/2.44 thf(zip_derived_cl2718, plain,
% 10.43/2.44 (((q16) = (store @ queue_47 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1344, zip_derived_cl2291])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2720, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q16 @ X0) = (select @ queue_47 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2718, zip_derived_cl1])).
% 10.43/2.44 thf(hyp282, axiom, (( queue_47 ) = ( store @ q15 @ seq @ earray_46 ))).
% 10.43/2.44 thf(zip_derived_cl292, plain,
% 10.43/2.44 (((queue_47) = (store @ q15 @ seq @ earray_46))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp282])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl896, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_47 @ X0) = (select @ q15 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3288, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q16 @ X0) = (select @ q15 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2720, zip_derived_cl896])).
% 10.43/2.44 thf(zip_derived_cl3918, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q15 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3904, zip_derived_cl3288])).
% 10.43/2.44 thf(zip_derived_cl3921, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q15 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3918])).
% 10.43/2.44 thf(zip_derived_cl402, plain,
% 10.43/2.44 (((q15) = (store @ queue_41 @ tail @ index_42))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl291, zip_derived_cl319])).
% 10.43/2.44 thf(zip_derived_cl1100, plain, (((index_45) = (index_42))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1098, zip_derived_cl192])).
% 10.43/2.44 thf(zip_derived_cl1339, plain,
% 10.43/2.44 (((q15) = (store @ queue_41 @ tail @ index_45))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl402, zip_derived_cl1100])).
% 10.43/2.44 thf(zip_derived_cl2150, plain, (((index_45) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1338, zip_derived_cl2140, zip_derived_cl1535])).
% 10.43/2.44 thf(zip_derived_cl2715, plain,
% 10.43/2.44 (((q15) = (store @ queue_41 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1339, zip_derived_cl2150])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2717, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q15 @ X0) = (select @ queue_41 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2715, zip_derived_cl1])).
% 10.43/2.44 thf(hyp280, axiom, (( queue_41 ) = ( store @ q14 @ seq @ earray_40 ))).
% 10.43/2.44 thf(zip_derived_cl290, plain,
% 10.43/2.44 (((queue_41) = (store @ q14 @ seq @ earray_40))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp280])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl894, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_41 @ X0) = (select @ q14 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl290, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3280, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q15 @ X0) = (select @ q14 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2717, zip_derived_cl894])).
% 10.43/2.44 thf(zip_derived_cl3926, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q14 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3921, zip_derived_cl3280])).
% 10.43/2.44 thf(zip_derived_cl3929, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q14 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3926])).
% 10.43/2.44 thf(zip_derived_cl401, plain,
% 10.43/2.44 (((q14) = (store @ queue_35 @ tail @ index_36))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl318])).
% 10.43/2.44 thf(zip_derived_cl1092, plain, (((index_39) = (index_36))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1090, zip_derived_cl190])).
% 10.43/2.44 thf(zip_derived_cl1331, plain,
% 10.43/2.44 (((q14) = (store @ queue_35 @ tail @ index_39))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl401, zip_derived_cl1092])).
% 10.43/2.44 thf(zip_derived_cl2140, plain, (((index_39) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1330, zip_derived_cl2119, zip_derived_cl1209])).
% 10.43/2.44 thf(zip_derived_cl2226, plain, (((index_99) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1395, zip_derived_cl2217, zip_derived_cl1209])).
% 10.43/2.44 thf(zip_derived_cl2246, plain, (((index_39) = (index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2140, zip_derived_cl2226])).
% 10.43/2.44 thf(zip_derived_cl2712, plain,
% 10.43/2.44 (((q14) = (store @ queue_35 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1331, zip_derived_cl2246])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2714, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q14 @ X0) = (select @ queue_35 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2712, zip_derived_cl1])).
% 10.43/2.44 thf(hyp278, axiom, (( queue_35 ) = ( store @ q13 @ seq @ earray_34 ))).
% 10.43/2.44 thf(zip_derived_cl288, plain,
% 10.43/2.44 (((queue_35) = (store @ q13 @ seq @ earray_34))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp278])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl892, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_35 @ X0) = (select @ q13 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3272, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q14 @ X0) = (select @ q13 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2714, zip_derived_cl892])).
% 10.43/2.44 thf(zip_derived_cl3933, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q13 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3929, zip_derived_cl3272])).
% 10.43/2.44 thf(zip_derived_cl3936, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q13 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3933])).
% 10.43/2.44 thf(zip_derived_cl400, plain,
% 10.43/2.44 (((q13) = (store @ queue_29 @ tail @ index_30))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl287, zip_derived_cl317])).
% 10.43/2.44 thf(zip_derived_cl1083, plain, (((index_33) = (index_30))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1081, zip_derived_cl188])).
% 10.43/2.44 thf(zip_derived_cl1326, plain,
% 10.43/2.44 (((q13) = (store @ queue_29 @ tail @ index_33))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl400, zip_derived_cl1083])).
% 10.43/2.44 thf(zip_derived_cl2119, plain, (((index_33) = (index_15))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1325, zip_derived_cl2106, zip_derived_cl1012])).
% 10.43/2.44 thf(zip_derived_cl2260, plain, (((index_111) = (index_15))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl934, zip_derived_cl2241, zip_derived_cl1012])).
% 10.43/2.44 thf(zip_derived_cl2289, plain, (((index_33) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2119, zip_derived_cl2260])).
% 10.43/2.44 thf(zip_derived_cl2709, plain,
% 10.43/2.44 (((q13) = (store @ queue_29 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1326, zip_derived_cl2289])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2711, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q13 @ X0) = (select @ queue_29 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2709, zip_derived_cl1])).
% 10.43/2.44 thf(hyp274, axiom, (( queue_29 ) = ( store @ q12 @ seq @ earray_28 ))).
% 10.43/2.44 thf(zip_derived_cl284, plain,
% 10.43/2.44 (((queue_29) = (store @ q12 @ seq @ earray_28))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp274])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl888, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_29 @ X0) = (select @ q12 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3258, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q13 @ X0) = (select @ q12 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2711, zip_derived_cl888])).
% 10.43/2.44 thf(zip_derived_cl3941, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q12 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3936, zip_derived_cl3258])).
% 10.43/2.44 thf(zip_derived_cl3944, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q12 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3941])).
% 10.43/2.44 thf(zip_derived_cl391, plain,
% 10.43/2.44 (((q12) = (store @ queue_23 @ tail @ index_24))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl269, zip_derived_cl316])).
% 10.43/2.44 thf(zip_derived_cl1051, plain, (((index_27) = (index_24))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1049, zip_derived_cl173])).
% 10.43/2.44 thf(zip_derived_cl1277, plain,
% 10.43/2.44 (((q12) = (store @ queue_23 @ tail @ index_27))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl391, zip_derived_cl1051])).
% 10.43/2.44 thf(zip_derived_cl2106, plain, (((index_27) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1276, zip_derived_cl1535])).
% 10.43/2.44 thf(zip_derived_cl2682, plain,
% 10.43/2.44 (((q12) = (store @ queue_23 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1277, zip_derived_cl2106])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2684, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q12 @ X0) = (select @ queue_23 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2682, zip_derived_cl1])).
% 10.43/2.44 thf(hyp252, axiom, (( queue_23 ) = ( store @ q11 @ seq @ earray_22 ))).
% 10.43/2.44 thf(zip_derived_cl262, plain,
% 10.43/2.44 (((queue_23) = (store @ q11 @ seq @ earray_22))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp252])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl860, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_23 @ X0) = (select @ q11 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3193, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q12 @ X0) = (select @ q11 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2684, zip_derived_cl860])).
% 10.43/2.44 thf(zip_derived_cl3949, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q11 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3944, zip_derived_cl3193])).
% 10.43/2.44 thf(zip_derived_cl3952, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q11 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3949])).
% 10.43/2.44 thf(zip_derived_cl380, plain,
% 10.43/2.44 (((q11) = (store @ queue_17 @ tail @ index_18))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl315])).
% 10.43/2.44 thf(zip_derived_cl1002, plain, (((index_21) = (index_18))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1000, zip_derived_cl151])).
% 10.43/2.44 thf(zip_derived_cl1210, plain,
% 10.43/2.44 (((q11) = (store @ queue_17 @ tail @ index_21))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl380, zip_derived_cl1002])).
% 10.43/2.44 thf(zip_derived_cl2226, plain, (((index_99) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1395, zip_derived_cl2217, zip_derived_cl1209])).
% 10.43/2.44 thf(zip_derived_cl2645, plain,
% 10.43/2.44 (((q11) = (store @ queue_17 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1210, zip_derived_cl2226])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2647, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q11 @ X0) = (select @ queue_17 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2645, zip_derived_cl1])).
% 10.43/2.44 thf(hyp230, axiom, (( queue_17 ) = ( store @ q10 @ seq @ earray_16 ))).
% 10.43/2.44 thf(zip_derived_cl240, plain,
% 10.43/2.44 (((queue_17) = (store @ q10 @ seq @ earray_16))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp230])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl832, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_17 @ X0) = (select @ q10 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl240, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3114, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q11 @ X0) = (select @ q10 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2647, zip_derived_cl832])).
% 10.43/2.44 thf(zip_derived_cl3956, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q10 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3952, zip_derived_cl3114])).
% 10.43/2.44 thf(zip_derived_cl3959, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q10 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3956])).
% 10.43/2.44 thf(hyp276, axiom,
% 10.43/2.44 (( queue_295 ) = ( store @ queue_293 @ tail @ index_294 ))).
% 10.43/2.44 thf(zip_derived_cl286, plain,
% 10.43/2.44 (((queue_295) = (store @ queue_293 @ tail @ index_294))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp276])).
% 10.43/2.44 thf(hyp351, axiom, (( q9 ) = ( queue_295 ))).
% 10.43/2.44 thf(zip_derived_cl361, plain, (((q9) = (queue_295))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp351])).
% 10.43/2.44 thf(zip_derived_cl399, plain,
% 10.43/2.44 (((q9) = (store @ queue_293 @ tail @ index_294))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl361])).
% 10.43/2.44 thf(zip_derived_cl399, plain,
% 10.43/2.44 (((q9) = (store @ queue_293 @ tail @ index_294))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl361])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl1078, plain, (((select @ q9 @ tail) = (index_294))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl399, zip_derived_cl0])).
% 10.43/2.44 thf(hyp198, axiom, (( index_9 ) = ( select @ q9 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl208, plain, (((index_9) = (select @ q9 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp198])).
% 10.43/2.44 thf(zip_derived_cl1080, plain, (((index_9) = (index_294))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1078, zip_derived_cl208])).
% 10.43/2.44 thf(zip_derived_cl1320, plain,
% 10.43/2.44 (((q9) = (store @ queue_293 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl399, zip_derived_cl1080])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2708, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q9 @ X0) = (select @ queue_293 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl1320, zip_derived_cl1])).
% 10.43/2.44 thf(hyp275, axiom, (( queue_293 ) = ( store @ q8 @ seq @ earray_292 ))).
% 10.43/2.44 thf(zip_derived_cl285, plain,
% 10.43/2.44 (((queue_293) = (store @ q8 @ seq @ earray_292))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp275])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl890, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_293 @ X0) = (select @ q8 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3247, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q9 @ X0) = (select @ q8 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2708, zip_derived_cl890])).
% 10.43/2.44 thf(zip_derived_cl369, plain,
% 10.43/2.44 (((q10) = (store @ queue_11 @ tail @ index_12))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl225, zip_derived_cl314])).
% 10.43/2.44 thf(zip_derived_cl951, plain, (((index_15) = (index_12))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl949, zip_derived_cl129])).
% 10.43/2.44 thf(zip_derived_cl1013, plain,
% 10.43/2.44 (((q10) = (store @ queue_11 @ tail @ index_15))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl369, zip_derived_cl951])).
% 10.43/2.44 thf(zip_derived_cl2260, plain, (((index_111) = (index_15))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl934, zip_derived_cl2241, zip_derived_cl1012])).
% 10.43/2.44 thf(zip_derived_cl2608, plain,
% 10.43/2.44 (((q10) = (store @ queue_11 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1013, zip_derived_cl2260])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2610, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q10 @ X0) = (select @ queue_11 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2608, zip_derived_cl1])).
% 10.43/2.44 thf(hyp208, axiom, (( queue_11 ) = ( store @ q9 @ seq @ earray_10 ))).
% 10.43/2.44 thf(zip_derived_cl218, plain,
% 10.43/2.44 (((queue_11) = (store @ q9 @ seq @ earray_10))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp208])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl804, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_11 @ X0) = (select @ q9 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3027, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q10 @ X0) = (select @ q9 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2610, zip_derived_cl804])).
% 10.43/2.44 thf(zip_derived_cl3668, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q10 @ X0) = (select @ q8 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3247, zip_derived_cl3027])).
% 10.43/2.44 thf(zip_derived_cl3671, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q10 @ X0) = (select @ q8 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3668])).
% 10.43/2.44 thf(hyp273, axiom,
% 10.43/2.44 (( queue_289 ) = ( store @ queue_287 @ tail @ index_288 ))).
% 10.43/2.44 thf(zip_derived_cl283, plain,
% 10.43/2.44 (((queue_289) = (store @ queue_287 @ tail @ index_288))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp273])).
% 10.43/2.44 thf(hyp350, axiom, (( q8 ) = ( queue_289 ))).
% 10.43/2.44 thf(zip_derived_cl360, plain, (((q8) = (queue_289))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp350])).
% 10.43/2.44 thf(zip_derived_cl398, plain,
% 10.43/2.44 (((q8) = (store @ queue_287 @ tail @ index_288))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl360])).
% 10.43/2.44 thf(zip_derived_cl398, plain,
% 10.43/2.44 (((q8) = (store @ queue_287 @ tail @ index_288))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl360])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl1075, plain, (((select @ q8 @ tail) = (index_288))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl0])).
% 10.43/2.44 thf(hyp171, axiom, (( index_291 ) = ( select @ q8 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl181, plain, (((index_291) = (select @ q8 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp171])).
% 10.43/2.44 thf(zip_derived_cl1077, plain, (((index_291) = (index_288))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1075, zip_derived_cl181])).
% 10.43/2.44 thf(zip_derived_cl1312, plain,
% 10.43/2.44 (((q8) = (store @ queue_287 @ tail @ index_291))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl398, zip_derived_cl1077])).
% 10.43/2.44 thf(zip_derived_cl162, plain, (((index_24) = (s @ index_21))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp152])).
% 10.43/2.44 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [ps])).
% 10.43/2.44 thf(zip_derived_cl533, plain, (((p @ index_24) = (index_21))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl5])).
% 10.43/2.44 thf(zip_derived_cl1051, plain, (((index_27) = (index_24))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1049, zip_derived_cl173])).
% 10.43/2.44 thf(zip_derived_cl1278, plain, (((p @ index_27) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl533, zip_derived_cl1051])).
% 10.43/2.44 thf(zip_derived_cl2106, plain, (((index_27) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1276, zip_derived_cl1535])).
% 10.43/2.44 thf(hyp172, axiom, (( index_294 ) = ( s @ index_291 ))).
% 10.43/2.44 thf(zip_derived_cl182, plain, (((index_294) = (s @ index_291))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp172])).
% 10.43/2.44 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [ps])).
% 10.43/2.44 thf(zip_derived_cl575, plain, (((p @ index_294) = (index_291))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl5])).
% 10.43/2.44 thf(zip_derived_cl1080, plain, (((index_9) = (index_294))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1078, zip_derived_cl208])).
% 10.43/2.44 thf(zip_derived_cl1321, plain, (((p @ index_9) = (index_291))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl1080])).
% 10.43/2.44 thf(zip_derived_cl2116, plain, (((index_291) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1278, zip_derived_cl2106, zip_derived_cl1321])).
% 10.43/2.44 thf(zip_derived_cl2226, plain, (((index_99) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1395, zip_derived_cl2217, zip_derived_cl1209])).
% 10.43/2.44 thf(zip_derived_cl2242, plain, (((index_291) = (index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2116, zip_derived_cl2226])).
% 10.43/2.44 thf(zip_derived_cl2702, plain,
% 10.43/2.44 (((q8) = (store @ queue_287 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1312, zip_derived_cl2242])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2704, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q8 @ X0) = (select @ queue_287 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2702, zip_derived_cl1])).
% 10.43/2.44 thf(hyp272, axiom, (( queue_287 ) = ( store @ q7 @ seq @ earray_286 ))).
% 10.43/2.44 thf(zip_derived_cl282, plain,
% 10.43/2.44 (((queue_287) = (store @ q7 @ seq @ earray_286))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp272])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl886, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_287 @ X0) = (select @ q7 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3235, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q8 @ X0) = (select @ q7 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2704, zip_derived_cl886])).
% 10.43/2.44 thf(zip_derived_cl3814, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q10 @ X0) = (select @ q7 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3671, zip_derived_cl3235])).
% 10.43/2.44 thf(zip_derived_cl3817, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q10 @ X0) = (select @ q7 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3814])).
% 10.43/2.44 thf(hyp271, axiom,
% 10.43/2.44 (( queue_283 ) = ( store @ queue_281 @ tail @ index_282 ))).
% 10.43/2.44 thf(zip_derived_cl281, plain,
% 10.43/2.44 (((queue_283) = (store @ queue_281 @ tail @ index_282))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp271])).
% 10.43/2.44 thf(hyp349, axiom, (( q7 ) = ( queue_283 ))).
% 10.43/2.44 thf(zip_derived_cl359, plain, (((q7) = (queue_283))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp349])).
% 10.43/2.44 thf(zip_derived_cl397, plain,
% 10.43/2.44 (((q7) = (store @ queue_281 @ tail @ index_282))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl281, zip_derived_cl359])).
% 10.43/2.44 thf(zip_derived_cl397, plain,
% 10.43/2.44 (((q7) = (store @ queue_281 @ tail @ index_282))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl281, zip_derived_cl359])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl1072, plain, (((select @ q7 @ tail) = (index_282))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl397, zip_derived_cl0])).
% 10.43/2.44 thf(hyp169, axiom, (( index_285 ) = ( select @ q7 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl179, plain, (((index_285) = (select @ q7 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp169])).
% 10.43/2.44 thf(zip_derived_cl1074, plain, (((index_285) = (index_282))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1072, zip_derived_cl179])).
% 10.43/2.44 thf(zip_derived_cl1307, plain,
% 10.43/2.44 (((q7) = (store @ queue_281 @ tail @ index_285))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl397, zip_derived_cl1074])).
% 10.43/2.44 thf(hyp168, axiom, (( index_282 ) = ( s @ index_279 ))).
% 10.43/2.44 thf(zip_derived_cl178, plain, (((index_282) = (s @ index_279))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp168])).
% 10.43/2.44 thf(zip_derived_cl1074, plain, (((index_285) = (index_282))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1072, zip_derived_cl179])).
% 10.43/2.44 thf(zip_derived_cl1306, plain, (((index_285) = (s @ index_279))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl1074])).
% 10.43/2.44 thf(hyp166, axiom, (( index_276 ) = ( s @ index_273 ))).
% 10.43/2.44 thf(zip_derived_cl176, plain, (((index_276) = (s @ index_273))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp166])).
% 10.43/2.44 thf(hyp269, axiom,
% 10.43/2.44 (( queue_277 ) = ( store @ queue_275 @ tail @ index_276 ))).
% 10.43/2.44 thf(zip_derived_cl279, plain,
% 10.43/2.44 (((queue_277) = (store @ queue_275 @ tail @ index_276))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp269])).
% 10.43/2.44 thf(hyp348, axiom, (( q6 ) = ( queue_277 ))).
% 10.43/2.44 thf(zip_derived_cl358, plain, (((q6) = (queue_277))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp348])).
% 10.43/2.44 thf(zip_derived_cl396, plain,
% 10.43/2.44 (((q6) = (store @ queue_275 @ tail @ index_276))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl279, zip_derived_cl358])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl1069, plain, (((select @ q6 @ tail) = (index_276))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl396, zip_derived_cl0])).
% 10.43/2.44 thf(hyp167, axiom, (( index_279 ) = ( select @ q6 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl177, plain, (((index_279) = (select @ q6 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp167])).
% 10.43/2.44 thf(zip_derived_cl1071, plain, (((index_279) = (index_276))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1069, zip_derived_cl177])).
% 10.43/2.44 thf(zip_derived_cl1301, plain, (((index_279) = (s @ index_273))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl176, zip_derived_cl1071])).
% 10.43/2.44 thf(hyp164, axiom, (( index_270 ) = ( s @ index_267 ))).
% 10.43/2.44 thf(zip_derived_cl174, plain, (((index_270) = (s @ index_267))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp164])).
% 10.43/2.44 thf(hyp267, axiom,
% 10.43/2.44 (( queue_271 ) = ( store @ queue_269 @ tail @ index_270 ))).
% 10.43/2.44 thf(zip_derived_cl277, plain,
% 10.43/2.44 (((queue_271) = (store @ queue_269 @ tail @ index_270))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp267])).
% 10.43/2.44 thf(hyp347, axiom, (( q5 ) = ( queue_271 ))).
% 10.43/2.44 thf(zip_derived_cl357, plain, (((q5) = (queue_271))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp347])).
% 10.43/2.44 thf(zip_derived_cl395, plain,
% 10.43/2.44 (((q5) = (store @ queue_269 @ tail @ index_270))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl277, zip_derived_cl357])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl1060, plain, (((select @ q5 @ tail) = (index_270))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl395, zip_derived_cl0])).
% 10.43/2.44 thf(hyp165, axiom, (( index_273 ) = ( select @ q5 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl175, plain, (((index_273) = (select @ q5 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp165])).
% 10.43/2.44 thf(zip_derived_cl1062, plain, (((index_273) = (index_270))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1060, zip_derived_cl175])).
% 10.43/2.44 thf(zip_derived_cl1294, plain, (((index_273) = (s @ index_267))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl1062])).
% 10.43/2.44 thf(hyp139, axiom, (( index_204 ) = ( s @ index_201 ))).
% 10.43/2.44 thf(zip_derived_cl149, plain, (((index_204) = (s @ index_201))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp139])).
% 10.43/2.44 thf(hyp243, axiom,
% 10.43/2.44 (( queue_205 ) = ( store @ queue_203 @ tail @ index_204 ))).
% 10.43/2.44 thf(zip_derived_cl253, plain,
% 10.43/2.44 (((queue_205) = (store @ queue_203 @ tail @ index_204))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp243])).
% 10.43/2.44 thf(hyp336, axiom, (( q4 ) = ( queue_205 ))).
% 10.43/2.44 thf(zip_derived_cl346, plain, (((q4) = (queue_205))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp336])).
% 10.43/2.44 thf(zip_derived_cl383, plain,
% 10.43/2.44 (((q4) = (store @ queue_203 @ tail @ index_204))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl346])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl1009, plain, (((select @ q4 @ tail) = (index_204))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl0])).
% 10.43/2.44 thf(hyp162, axiom, (( index_267 ) = ( select @ q4 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl172, plain, (((index_267) = (select @ q4 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp162])).
% 10.43/2.44 thf(zip_derived_cl1011, plain, (((index_267) = (index_204))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1009, zip_derived_cl172])).
% 10.43/2.44 thf(zip_derived_cl1227, plain, (((index_267) = (s @ index_201))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl1011])).
% 10.43/2.44 thf(zip_derived_cl418, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 10.43/2.44 thf(zip_derived_cl1559, plain, (((p @ index_201) = (s @ index_267))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl1227, zip_derived_cl418])).
% 10.43/2.44 thf(hyp115, axiom, (( index_138 ) = ( s @ index_135 ))).
% 10.43/2.44 thf(zip_derived_cl125, plain, (((index_138) = (s @ index_135))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp115])).
% 10.43/2.44 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [ps])).
% 10.43/2.44 thf(zip_derived_cl459, plain, (((p @ index_138) = (index_135))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl5])).
% 10.43/2.44 thf(hyp219, axiom,
% 10.43/2.44 (( queue_139 ) = ( store @ queue_137 @ tail @ index_138 ))).
% 10.43/2.44 thf(zip_derived_cl229, plain,
% 10.43/2.44 (((queue_139) = (store @ queue_137 @ tail @ index_138))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp219])).
% 10.43/2.44 thf(hyp325, axiom, (( q3 ) = ( queue_139 ))).
% 10.43/2.44 thf(zip_derived_cl335, plain, (((q3) = (queue_139))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp325])).
% 10.43/2.44 thf(zip_derived_cl371, plain,
% 10.43/2.44 (((q3) = (store @ queue_137 @ tail @ index_138))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl335])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl961, plain, (((select @ q3 @ tail) = (index_138))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl371, zip_derived_cl0])).
% 10.43/2.44 thf(hyp138, axiom, (( index_201 ) = ( select @ q3 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl148, plain, (((index_201) = (select @ q3 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp138])).
% 10.43/2.44 thf(zip_derived_cl963, plain, (((index_201) = (index_138))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl961, zip_derived_cl148])).
% 10.43/2.44 thf(zip_derived_cl1043, plain, (((p @ index_201) = (index_135))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl459, zip_derived_cl963])).
% 10.43/2.44 thf(zip_derived_cl1560, plain, (((index_135) = (s @ index_267))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1559, zip_derived_cl1043])).
% 10.43/2.44 thf(zip_derived_cl2310, plain, (((index_273) = (index_135))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1294, zip_derived_cl1560])).
% 10.43/2.44 thf(zip_derived_cl125, plain, (((index_138) = (s @ index_135))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp115])).
% 10.43/2.44 thf(zip_derived_cl963, plain, (((index_201) = (index_138))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl961, zip_derived_cl148])).
% 10.43/2.44 thf(zip_derived_cl1041, plain, (((index_201) = (s @ index_135))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl963])).
% 10.43/2.44 thf(zip_derived_cl2323, plain, (((index_279) = (index_201))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1301, zip_derived_cl2310, zip_derived_cl1041])).
% 10.43/2.44 thf(zip_derived_cl1227, plain, (((index_267) = (s @ index_201))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl1011])).
% 10.43/2.44 thf(zip_derived_cl2332, plain, (((index_285) = (index_267))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1306, zip_derived_cl2323, zip_derived_cl1227])).
% 10.43/2.44 thf(zip_derived_cl1227, plain, (((index_267) = (s @ index_201))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl1011])).
% 10.43/2.44 thf(zip_derived_cl1041, plain, (((index_201) = (s @ index_135))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl963])).
% 10.43/2.44 thf(hyp170, axiom, (( index_288 ) = ( s @ index_285 ))).
% 10.43/2.44 thf(zip_derived_cl180, plain, (((index_288) = (s @ index_285))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp170])).
% 10.43/2.44 thf(zip_derived_cl1077, plain, (((index_291) = (index_288))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1075, zip_derived_cl181])).
% 10.43/2.44 thf(zip_derived_cl1311, plain, (((index_291) = (s @ index_285))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl180, zip_derived_cl1077])).
% 10.43/2.44 thf(zip_derived_cl2116, plain, (((index_291) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1278, zip_derived_cl2106, zip_derived_cl1321])).
% 10.43/2.44 thf(zip_derived_cl2127, plain, (((index_21) = (s @ index_285))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1311, zip_derived_cl2116])).
% 10.43/2.44 thf(zip_derived_cl2226, plain, (((index_99) = (index_21))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1395, zip_derived_cl2217, zip_derived_cl1209])).
% 10.43/2.44 thf(zip_derived_cl2332, plain, (((index_285) = (index_267))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1306, zip_derived_cl2323, zip_derived_cl1227])).
% 10.43/2.44 thf(zip_derived_cl1560, plain, (((index_135) = (s @ index_267))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1559, zip_derived_cl1043])).
% 10.43/2.44 thf(zip_derived_cl2430, plain, (((index_99) = (index_135))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2127, zip_derived_cl2226, zip_derived_cl2332,
% 10.43/2.44 zip_derived_cl1560])).
% 10.43/2.44 thf(zip_derived_cl145, plain, (((index_192) = (s @ index_189))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp135])).
% 10.43/2.44 thf(zip_derived_cl1005, plain, (((index_195) = (index_192))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1003, zip_derived_cl146])).
% 10.43/2.44 thf(zip_derived_cl1215, plain, (((index_195) = (s @ index_189))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl145, zip_derived_cl1005])).
% 10.43/2.44 thf(zip_derived_cl418, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 10.43/2.44 thf(zip_derived_cl1543, plain, (((p @ index_189) = (s @ index_195))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl1215, zip_derived_cl418])).
% 10.43/2.44 thf(zip_derived_cl1205, plain, (((p @ index_189) = (index_183))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl495, zip_derived_cl999])).
% 10.43/2.44 thf(zip_derived_cl1544, plain, (((index_183) = (s @ index_195))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1543, zip_derived_cl1205])).
% 10.43/2.44 thf(zip_derived_cl2269, plain, (((index_9) = (index_183))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1971, zip_derived_cl2241])).
% 10.43/2.44 thf(zip_derived_cl1997, plain, (((index_99) = (index_195))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1927, zip_derived_cl1964])).
% 10.43/2.44 thf(zip_derived_cl2300, plain, (((index_9) = (s @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1544, zip_derived_cl2269, zip_derived_cl1997])).
% 10.43/2.44 thf(zip_derived_cl2435, plain, (((index_201) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1041, zip_derived_cl2430, zip_derived_cl2300])).
% 10.43/2.44 thf(zip_derived_cl147, plain, (((index_198) = (s @ index_195))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp137])).
% 10.43/2.44 thf(zip_derived_cl1008, plain, (((index_207) = (index_198))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1006, zip_derived_cl150])).
% 10.43/2.44 thf(zip_derived_cl1221, plain, (((index_207) = (s @ index_195))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl1008])).
% 10.43/2.44 thf(zip_derived_cl418, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 10.43/2.44 thf(zip_derived_cl1551, plain, (((p @ index_195) = (s @ index_207))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl1221, zip_derived_cl418])).
% 10.43/2.44 thf(zip_derived_cl1217, plain, (((p @ index_195) = (index_189))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl501, zip_derived_cl1005])).
% 10.43/2.44 thf(zip_derived_cl1552, plain, (((index_189) = (s @ index_207))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1551, zip_derived_cl1217])).
% 10.43/2.44 thf(zip_derived_cl1949, plain, (((index_111) = (index_189))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1882, zip_derived_cl1920])).
% 10.43/2.44 thf(zip_derived_cl2271, plain, (((index_9) = (index_207))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1973, zip_derived_cl2241])).
% 10.43/2.44 thf(zip_derived_cl2304, plain, (((index_111) = (s @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1552, zip_derived_cl1949, zip_derived_cl2271])).
% 10.43/2.44 thf(zip_derived_cl2448, plain, (((index_267) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1227, zip_derived_cl2435, zip_derived_cl2304])).
% 10.43/2.44 thf(zip_derived_cl2460, plain, (((index_285) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2332, zip_derived_cl2448])).
% 10.43/2.44 thf(zip_derived_cl2699, plain,
% 10.43/2.44 (((q7) = (store @ queue_281 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1307, zip_derived_cl2460])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2701, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q7 @ X0) = (select @ queue_281 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2699, zip_derived_cl1])).
% 10.43/2.44 thf(hyp270, axiom, (( queue_281 ) = ( store @ q6 @ seq @ earray_280 ))).
% 10.43/2.44 thf(zip_derived_cl280, plain,
% 10.43/2.44 (((queue_281) = (store @ q6 @ seq @ earray_280))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp270])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl881, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_281 @ X0) = (select @ q6 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl280, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3231, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q7 @ X0) = (select @ q6 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2701, zip_derived_cl881])).
% 10.43/2.44 thf(zip_derived_cl3836, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q10 @ X0) = (select @ q6 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3817, zip_derived_cl3231])).
% 10.43/2.44 thf(zip_derived_cl3839, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q10 @ X0) = (select @ q6 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3836])).
% 10.43/2.44 thf(zip_derived_cl396, plain,
% 10.43/2.44 (((q6) = (store @ queue_275 @ tail @ index_276))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl279, zip_derived_cl358])).
% 10.43/2.44 thf(zip_derived_cl1071, plain, (((index_279) = (index_276))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1069, zip_derived_cl177])).
% 10.43/2.44 thf(zip_derived_cl1302, plain,
% 10.43/2.44 (((q6) = (store @ queue_275 @ tail @ index_279))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl396, zip_derived_cl1071])).
% 10.43/2.44 thf(zip_derived_cl2323, plain, (((index_279) = (index_201))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1301, zip_derived_cl2310, zip_derived_cl1041])).
% 10.43/2.44 thf(zip_derived_cl2435, plain, (((index_201) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1041, zip_derived_cl2430, zip_derived_cl2300])).
% 10.43/2.44 thf(zip_derived_cl2451, plain, (((index_279) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2323, zip_derived_cl2435])).
% 10.43/2.44 thf(zip_derived_cl2696, plain,
% 10.43/2.44 (((q6) = (store @ queue_275 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1302, zip_derived_cl2451])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2698, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q6 @ X0) = (select @ queue_275 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2696, zip_derived_cl1])).
% 10.43/2.44 thf(hyp268, axiom, (( queue_275 ) = ( store @ q5 @ seq @ earray_274 ))).
% 10.43/2.44 thf(zip_derived_cl278, plain,
% 10.43/2.44 (((queue_275) = (store @ q5 @ seq @ earray_274))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp268])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl879, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_275 @ X0) = (select @ q5 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl278, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3218, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q6 @ X0) = (select @ q5 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2698, zip_derived_cl879])).
% 10.43/2.44 thf(zip_derived_cl3850, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q10 @ X0) = (select @ q5 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3839, zip_derived_cl3218])).
% 10.43/2.44 thf(zip_derived_cl3853, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q10 @ X0) = (select @ q5 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3850])).
% 10.43/2.44 thf(zip_derived_cl395, plain,
% 10.43/2.44 (((q5) = (store @ queue_269 @ tail @ index_270))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl277, zip_derived_cl357])).
% 10.43/2.44 thf(zip_derived_cl1062, plain, (((index_273) = (index_270))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1060, zip_derived_cl175])).
% 10.43/2.44 thf(zip_derived_cl1295, plain,
% 10.43/2.44 (((q5) = (store @ queue_269 @ tail @ index_273))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl1062])).
% 10.43/2.44 thf(zip_derived_cl2310, plain, (((index_273) = (index_135))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1294, zip_derived_cl1560])).
% 10.43/2.44 thf(zip_derived_cl2430, plain, (((index_99) = (index_135))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2127, zip_derived_cl2226, zip_derived_cl2332,
% 10.43/2.44 zip_derived_cl1560])).
% 10.43/2.44 thf(zip_derived_cl2441, plain, (((index_273) = (index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2310, zip_derived_cl2430])).
% 10.43/2.44 thf(zip_derived_cl2693, plain,
% 10.43/2.44 (((q5) = (store @ queue_269 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1295, zip_derived_cl2441])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2695, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q5 @ X0) = (select @ queue_269 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2693, zip_derived_cl1])).
% 10.43/2.44 thf(hyp266, axiom, (( queue_269 ) = ( store @ q4 @ seq @ earray_268 ))).
% 10.43/2.44 thf(zip_derived_cl276, plain,
% 10.43/2.44 (((queue_269) = (store @ q4 @ seq @ earray_268))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp266])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl877, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_269 @ X0) = (select @ q4 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl276, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3215, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q5 @ X0) = (select @ q4 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2695, zip_derived_cl877])).
% 10.43/2.44 thf(zip_derived_cl3865, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q10 @ X0) = (select @ q4 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3853, zip_derived_cl3215])).
% 10.43/2.44 thf(zip_derived_cl3868, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q10 @ X0) = (select @ q4 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3865])).
% 10.43/2.44 thf(zip_derived_cl383, plain,
% 10.43/2.44 (((q4) = (store @ queue_203 @ tail @ index_204))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl346])).
% 10.43/2.44 thf(zip_derived_cl1011, plain, (((index_267) = (index_204))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1009, zip_derived_cl172])).
% 10.43/2.44 thf(zip_derived_cl1228, plain,
% 10.43/2.44 (((q4) = (store @ queue_203 @ tail @ index_267))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl383, zip_derived_cl1011])).
% 10.43/2.44 thf(zip_derived_cl2448, plain, (((index_267) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1227, zip_derived_cl2435, zip_derived_cl2304])).
% 10.43/2.44 thf(zip_derived_cl2656, plain,
% 10.43/2.44 (((q4) = (store @ queue_203 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1228, zip_derived_cl2448])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2658, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q4 @ X0) = (select @ queue_203 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2656, zip_derived_cl1])).
% 10.43/2.44 thf(hyp242, axiom, (( queue_203 ) = ( store @ q3 @ seq @ earray_202 ))).
% 10.43/2.44 thf(zip_derived_cl252, plain,
% 10.43/2.44 (((queue_203) = (store @ q3 @ seq @ earray_202))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp242])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl847, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_203 @ X0) = (select @ q3 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3136, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q4 @ X0) = (select @ q3 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2658, zip_derived_cl847])).
% 10.43/2.44 thf(zip_derived_cl3880, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q10 @ X0) = (select @ q3 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3868, zip_derived_cl3136])).
% 10.43/2.44 thf(zip_derived_cl3883, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q10 @ X0) = (select @ q3 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3880])).
% 10.43/2.44 thf(zip_derived_cl371, plain,
% 10.43/2.44 (((q3) = (store @ queue_137 @ tail @ index_138))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl335])).
% 10.43/2.44 thf(zip_derived_cl963, plain, (((index_201) = (index_138))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl961, zip_derived_cl148])).
% 10.43/2.44 thf(zip_derived_cl1042, plain,
% 10.43/2.44 (((q3) = (store @ queue_137 @ tail @ index_201))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl371, zip_derived_cl963])).
% 10.43/2.44 thf(zip_derived_cl2435, plain, (((index_201) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1041, zip_derived_cl2430, zip_derived_cl2300])).
% 10.43/2.44 thf(zip_derived_cl2614, plain,
% 10.43/2.44 (((q3) = (store @ queue_137 @ tail @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1042, zip_derived_cl2435])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2616, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q3 @ X0) = (select @ queue_137 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2614, zip_derived_cl1])).
% 10.43/2.44 thf(hyp218, axiom, (( queue_137 ) = ( store @ q2 @ seq @ earray_136 ))).
% 10.43/2.44 thf(zip_derived_cl228, plain,
% 10.43/2.44 (((queue_137) = (store @ q2 @ seq @ earray_136))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp218])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl817, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_137 @ X0) = (select @ q2 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3043, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q3 @ X0) = (select @ q2 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2616, zip_derived_cl817])).
% 10.43/2.44 thf(zip_derived_cl3894, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q10 @ X0) = (select @ q2 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3883, zip_derived_cl3043])).
% 10.43/2.44 thf(zip_derived_cl3897, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q10 @ X0) = (select @ q2 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3894])).
% 10.43/2.44 thf(zip_derived_cl3964, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((select @ q24 @ X0) = (select @ q2 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3959, zip_derived_cl3897])).
% 10.43/2.44 thf(zip_derived_cl3967, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q24 @ X0) = (select @ q2 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3964])).
% 10.43/2.44 thf(hyp293, axiom, (( queue_73 ) = ( store @ queue_71 @ tail @ index_72 ))).
% 10.43/2.44 thf(zip_derived_cl303, plain,
% 10.43/2.44 (((queue_73) = (store @ queue_71 @ tail @ index_72))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp293])).
% 10.43/2.44 thf(hyp314, axiom, (( q2 ) = ( queue_73 ))).
% 10.43/2.44 thf(zip_derived_cl324, plain, (((q2) = (queue_73))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp314])).
% 10.43/2.44 thf(zip_derived_cl408, plain,
% 10.43/2.44 (((q2) = (store @ queue_71 @ tail @ index_72))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl303, zip_derived_cl324])).
% 10.43/2.44 thf(zip_derived_cl408, plain,
% 10.43/2.44 (((q2) = (store @ queue_71 @ tail @ index_72))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl303, zip_derived_cl324])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl1123, plain, (((select @ q2 @ tail) = (index_72))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl408, zip_derived_cl0])).
% 10.43/2.44 thf(hyp114, axiom, (( index_135 ) = ( select @ q2 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl124, plain, (((index_135) = (select @ q2 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp114])).
% 10.43/2.44 thf(zip_derived_cl1125, plain, (((index_135) = (index_72))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1123, zip_derived_cl124])).
% 10.43/2.44 thf(zip_derived_cl1369, plain,
% 10.43/2.44 (((q2) = (store @ queue_71 @ tail @ index_135))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl408, zip_derived_cl1125])).
% 10.43/2.44 thf(zip_derived_cl2430, plain, (((index_99) = (index_135))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2127, zip_derived_cl2226, zip_derived_cl2332,
% 10.43/2.44 zip_derived_cl1560])).
% 10.43/2.44 thf(zip_derived_cl2735, plain,
% 10.43/2.44 (((q2) = (store @ queue_71 @ tail @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1369, zip_derived_cl2430])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2737, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q2 @ X0) = (select @ queue_71 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2735, zip_derived_cl1])).
% 10.43/2.44 thf(hyp292, axiom, (( queue_71 ) = ( store @ q1 @ seq @ earray_70 ))).
% 10.43/2.44 thf(zip_derived_cl302, plain,
% 10.43/2.44 (((queue_71) = (store @ q1 @ seq @ earray_70))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp292])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl909, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_71 @ X0) = (select @ q1 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl302, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3323, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q2 @ X0) = (select @ q1 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2737, zip_derived_cl909])).
% 10.43/2.44 thf(hyp291, axiom, (( queue_7 ) = ( store @ queue_5 @ tail @ index_6 ))).
% 10.43/2.44 thf(zip_derived_cl301, plain,
% 10.43/2.44 (((queue_7) = (store @ queue_5 @ tail @ index_6))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp291])).
% 10.43/2.44 thf(hyp303, axiom, (( q1 ) = ( queue_7 ))).
% 10.43/2.44 thf(zip_derived_cl313, plain, (((q1) = (queue_7))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp303])).
% 10.43/2.44 thf(zip_derived_cl407, plain, (((q1) = (store @ queue_5 @ tail @ index_6))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl301, zip_derived_cl313])).
% 10.43/2.44 thf(zip_derived_cl407, plain, (((q1) = (store @ queue_5 @ tail @ index_6))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl301, zip_derived_cl313])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl1114, plain, (((select @ q1 @ tail) = (index_6))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl0])).
% 10.43/2.44 thf(hyp191, axiom, (( index_69 ) = ( select @ q1 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl201, plain, (((index_69) = (select @ q1 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp191])).
% 10.43/2.44 thf(zip_derived_cl1116, plain, (((index_69) = (index_6))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1114, zip_derived_cl201])).
% 10.43/2.44 thf(zip_derived_cl1365, plain,
% 10.43/2.44 (((q1) = (store @ queue_5 @ tail @ index_69))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl407, zip_derived_cl1116])).
% 10.43/2.44 thf(hyp192, axiom, (( index_72 ) = ( s @ index_69 ))).
% 10.43/2.44 thf(zip_derived_cl202, plain, (((index_72) = (s @ index_69))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp192])).
% 10.43/2.44 thf(zip_derived_cl1125, plain, (((index_135) = (index_72))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1123, zip_derived_cl124])).
% 10.43/2.44 thf(zip_derived_cl1368, plain, (((index_135) = (s @ index_69))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl202, zip_derived_cl1125])).
% 10.43/2.44 thf(zip_derived_cl418, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 10.43/2.44 thf(zip_derived_cl2064, plain, (((p @ index_69) = (s @ index_135))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl1368, zip_derived_cl418])).
% 10.43/2.44 thf(zip_derived_cl1041, plain, (((index_201) = (s @ index_135))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl963])).
% 10.43/2.44 thf(zip_derived_cl2065, plain, (((p @ index_69) = (index_201))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2064, zip_derived_cl1041])).
% 10.43/2.44 thf(sp, axiom, (( s @ ( p @ X ) ) = ( X ))).
% 10.43/2.44 thf(zip_derived_cl6, plain, (![X0 : $i]: ((s @ (p @ X0)) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [sp])).
% 10.43/2.44 thf(zip_derived_cl2400, plain, (((s @ index_201) = (index_69))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2065, zip_derived_cl6])).
% 10.43/2.44 thf(zip_derived_cl1227, plain, (((index_267) = (s @ index_201))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl1011])).
% 10.43/2.44 thf(zip_derived_cl2403, plain, (((index_267) = (index_69))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2400, zip_derived_cl1227])).
% 10.43/2.44 thf(zip_derived_cl2448, plain, (((index_267) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1227, zip_derived_cl2435, zip_derived_cl2304])).
% 10.43/2.44 thf(zip_derived_cl2464, plain, (((index_111) = (index_69))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2403, zip_derived_cl2448])).
% 10.43/2.44 thf(zip_derived_cl2732, plain,
% 10.43/2.44 (((q1) = (store @ queue_5 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1365, zip_derived_cl2464])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl2734, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0)) | ((select @ q1 @ X0) = (select @ queue_5 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2732, zip_derived_cl1])).
% 10.43/2.44 thf(hyp284, axiom, (( queue_5 ) = ( store @ q0 @ seq @ earray_4 ))).
% 10.43/2.44 thf(zip_derived_cl294, plain, (((queue_5) = (store @ q0 @ seq @ earray_4))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp284])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl901, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0)) | ((select @ queue_5 @ X0) = (select @ q0 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl1])).
% 10.43/2.44 thf(zip_derived_cl3319, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q1 @ X0) = (select @ q0 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl2734, zip_derived_cl901])).
% 10.43/2.44 thf(zip_derived_cl3718, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((seq) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0))
% 10.43/2.44 | ((select @ q2 @ X0) = (select @ q0 @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3323, zip_derived_cl3319])).
% 10.43/2.44 thf(zip_derived_cl3721, plain,
% 10.43/2.44 (![X0 : $i]:
% 10.43/2.44 (((select @ q2 @ X0) = (select @ q0 @ X0))
% 10.43/2.44 | ((tail) = (X0))
% 10.43/2.44 | ((seq) = (X0)))),
% 10.43/2.44 inference('simplify', [status(thm)], [zip_derived_cl3718])).
% 10.43/2.44 thf(hyp203, axiom, (( queue_1 ) = ( store @ q @ head @ index_0 ))).
% 10.43/2.44 thf(zip_derived_cl213, plain, (((queue_1) = (store @ q @ head @ index_0))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp203])).
% 10.43/2.44 thf(hyp302, axiom, (( q0 ) = ( queue_1 ))).
% 10.43/2.44 thf(zip_derived_cl312, plain, (((q0) = (queue_1))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp302])).
% 10.43/2.44 thf(zip_derived_cl363, plain, (((q0) = (store @ q @ head @ index_0))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl312])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl921, plain, (((select @ q0 @ head) = (index_0))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl363, zip_derived_cl0])).
% 10.43/2.44 thf(zip_derived_cl363, plain, (((q0) = (store @ q @ head @ index_0))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl312])).
% 10.43/2.44 thf(zip_derived_cl1, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.43/2.44 (((X1) = (X0))
% 10.43/2.44 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.43/2.44 inference('cnf', [status(esa)], [a2])).
% 10.43/2.44 thf(zip_derived_cl922, plain,
% 10.43/2.44 (![X0 : $i]: (((head) = (X0)) | ((select @ q0 @ X0) = (select @ q @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl363, zip_derived_cl1])).
% 10.43/2.44 thf(hyp101, axiom, (( index_0 ) = ( select @ q @ tail ))).
% 10.43/2.44 thf(zip_derived_cl111, plain, (((index_0) = (select @ q @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp101])).
% 10.43/2.44 thf(zip_derived_cl2928, plain,
% 10.43/2.44 ((((head) = (tail)) | ((index_0) = (select @ q0 @ tail)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl922, zip_derived_cl111])).
% 10.43/2.44 thf(hyp175, axiom, (( index_3 ) = ( select @ q0 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl185, plain, (((index_3) = (select @ q0 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp175])).
% 10.43/2.44 thf(hyp187, axiom, (( index_6 ) = ( s @ index_3 ))).
% 10.43/2.44 thf(zip_derived_cl197, plain, (((index_6) = (s @ index_3))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp187])).
% 10.43/2.44 thf(zip_derived_cl1116, plain, (((index_69) = (index_6))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl1114, zip_derived_cl201])).
% 10.43/2.44 thf(zip_derived_cl1364, plain, (((index_69) = (s @ index_3))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl1116])).
% 10.43/2.44 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [ps])).
% 10.43/2.44 thf(zip_derived_cl2059, plain, (((p @ index_69) = (index_3))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl1364, zip_derived_cl5])).
% 10.43/2.44 thf(zip_derived_cl2065, plain, (((p @ index_69) = (index_201))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2064, zip_derived_cl1041])).
% 10.43/2.44 thf(zip_derived_cl2399, plain, (((index_201) = (index_3))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2059, zip_derived_cl2065])).
% 10.43/2.44 thf(zip_derived_cl2406, plain, (((index_201) = (select @ q0 @ tail))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl185, zip_derived_cl2399])).
% 10.43/2.44 thf(zip_derived_cl2435, plain, (((index_201) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1041, zip_derived_cl2430, zip_derived_cl2300])).
% 10.43/2.44 thf(zip_derived_cl2579, plain, (((index_9) = (select @ q0 @ tail))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2406, zip_derived_cl2435])).
% 10.43/2.44 thf(zip_derived_cl2929, plain,
% 10.43/2.44 ((((head) = (tail)) | ((index_0) = (index_9)))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2928, zip_derived_cl2579])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl2930, plain, (((index_0) = (index_9))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl2929, zip_derived_cl2])).
% 10.43/2.44 thf(zip_derived_cl2935, plain, (((select @ q0 @ head) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl921, zip_derived_cl2930])).
% 10.43/2.44 thf(zip_derived_cl3821, plain,
% 10.43/2.44 ((((seq) = (head))
% 10.43/2.44 | ((tail) = (head))
% 10.43/2.44 | ((select @ q2 @ head) = (index_9)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3721, zip_derived_cl2935])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.44 thf(zip_derived_cl3824, plain, (((select @ q2 @ head) = (index_9))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3821, zip_derived_cl2, zip_derived_cl3])).
% 10.43/2.44 thf(zip_derived_cl3971, plain,
% 10.43/2.44 ((((seq) = (head))
% 10.43/2.44 | ((tail) = (head))
% 10.43/2.44 | ((select @ q24 @ head) = (index_9)))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl3967, zip_derived_cl3824])).
% 10.43/2.44 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 10.43/2.44 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 10.43/2.44 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 10.43/2.44 thf(zip_derived_cl3974, plain, (((select @ q24 @ head) = (index_9))),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3971, zip_derived_cl2, zip_derived_cl3])).
% 10.43/2.44 thf(zip_derived_cl3979, plain, (((index_297) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl3813, zip_derived_cl3974])).
% 10.43/2.44 thf(hyp61, axiom,
% 10.43/2.44 (( earray_262 ) = ( store @ earray_260 @ index_261 @ e48 ))).
% 10.43/2.44 thf(zip_derived_cl71, plain,
% 10.43/2.44 (((earray_262) = (store @ earray_260 @ index_261 @ e48))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp61])).
% 10.43/2.44 thf(zip_derived_cl1646, plain, (((index_243) = (index_261))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl555, zip_derived_cl1643, zip_derived_cl1272])).
% 10.43/2.44 thf(zip_derived_cl1650, plain,
% 10.43/2.44 (((earray_262) = (store @ earray_260 @ index_243 @ e48))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl1646])).
% 10.43/2.44 thf(zip_derived_cl2275, plain, (((index_9) = (index_243))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1977, zip_derived_cl2241])).
% 10.43/2.44 thf(zip_derived_cl2770, plain,
% 10.43/2.44 (((earray_262) = (store @ earray_260 @ index_9 @ e48))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1650, zip_derived_cl2275])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl2771, plain, (((select @ earray_262 @ index_9) = (e48))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2770, zip_derived_cl0])).
% 10.43/2.44 thf(zip_derived_cl3985, plain, (((elem_298) = (e48))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl3380, zip_derived_cl3979, zip_derived_cl2771])).
% 10.43/2.44 thf(goal, conjecture, (( elem_298 ) = ( elem_301 ))).
% 10.43/2.44 thf(zf_stmt_0, negated_conjecture, (( elem_298 ) != ( elem_301 )),
% 10.43/2.44 inference('cnf.neg', [status(esa)], [goal])).
% 10.43/2.44 thf(zip_derived_cl362, plain, (((elem_298) != (elem_301))),
% 10.43/2.44 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.43/2.44 thf(hyp100, axiom, (( elem_301 ) = ( select @ earray_296 @ index_300 ))).
% 10.43/2.44 thf(zip_derived_cl110, plain,
% 10.43/2.44 (((elem_301) = (select @ earray_296 @ index_300))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp100])).
% 10.43/2.44 thf(hyp177, axiom, (( s @ index_300 ) = ( index_299 ))).
% 10.43/2.44 thf(zip_derived_cl187, plain, (((s @ index_300) = (index_299))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp177])).
% 10.43/2.44 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [ps])).
% 10.43/2.44 thf(zip_derived_cl583, plain, (((p @ index_299) = (index_300))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl187, zip_derived_cl5])).
% 10.43/2.44 thf(hyp174, axiom, (( index_299 ) = ( select @ q49 @ tail ))).
% 10.43/2.44 thf(zip_derived_cl184, plain, (((index_299) = (select @ q49 @ tail))),
% 10.43/2.44 inference('cnf', [status(esa)], [hyp174])).
% 10.43/2.44 thf(zip_derived_cl2751, plain,
% 10.43/2.44 (((q49) = (store @ queue_263 @ tail @ index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1645, zip_derived_cl1955])).
% 10.43/2.44 thf(zip_derived_cl0, plain,
% 10.43/2.44 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.43/2.44 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.43/2.44 inference('cnf', [status(esa)], [a1])).
% 10.43/2.44 thf(zip_derived_cl2752, plain, (((select @ q49 @ tail) = (index_111))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2751, zip_derived_cl0])).
% 10.43/2.44 thf(zip_derived_cl2754, plain, (((index_299) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl2752])).
% 10.43/2.44 thf(zip_derived_cl1395, plain, (((index_99) = (s @ index_93))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl211, zip_derived_cl1137])).
% 10.43/2.44 thf(zip_derived_cl418, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 10.43/2.44 thf(zip_derived_cl2082, plain, (((p @ index_93) = (s @ index_99))),
% 10.43/2.44 inference('s_sup+', [status(thm)],
% 10.43/2.44 [zip_derived_cl1395, zip_derived_cl418])).
% 10.43/2.44 thf(zip_derived_cl926, plain, (((index_105) = (s @ index_99))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl925])).
% 10.43/2.44 thf(zip_derived_cl2083, plain, (((p @ index_93) = (index_105))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl2082, zip_derived_cl926])).
% 10.43/2.44 thf(zip_derived_cl2295, plain, (((index_93) = (index_111))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2217, zip_derived_cl2260])).
% 10.43/2.44 thf(zip_derived_cl2241, plain, (((index_9) = (index_105))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl1535, zip_derived_cl2226, zip_derived_cl926])).
% 10.43/2.44 thf(zip_derived_cl2425, plain, (((p @ index_111) = (index_9))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2083, zip_derived_cl2295, zip_derived_cl2241])).
% 10.43/2.44 thf(zip_derived_cl2758, plain, (((index_9) = (index_300))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl583, zip_derived_cl2754, zip_derived_cl2425])).
% 10.43/2.44 thf(zip_derived_cl2763, plain,
% 10.43/2.44 (((elem_301) = (select @ earray_296 @ index_9))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl2758])).
% 10.43/2.44 thf(zip_derived_cl3379, plain, (((earray_296) = (earray_262))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl3378])).
% 10.43/2.44 thf(zip_derived_cl2771, plain, (((select @ earray_262 @ index_9) = (e48))),
% 10.43/2.44 inference('s_sup+', [status(thm)], [zip_derived_cl2770, zip_derived_cl0])).
% 10.43/2.44 thf(zip_derived_cl3381, plain, (((elem_301) = (e48))),
% 10.43/2.44 inference('demod', [status(thm)],
% 10.43/2.44 [zip_derived_cl2763, zip_derived_cl3379, zip_derived_cl2771])).
% 10.43/2.44 thf(zip_derived_cl3382, plain, (((elem_298) != (e48))),
% 10.43/2.44 inference('demod', [status(thm)], [zip_derived_cl362, zip_derived_cl3381])).
% 10.43/2.44 thf(zip_derived_cl3986, plain, ($false),
% 10.43/2.44 inference('simplify_reflect-', [status(thm)],
% 10.43/2.44 [zip_derived_cl3985, zip_derived_cl3382])).
% 10.43/2.44
% 10.43/2.44 % SZS output end Refutation
% 10.43/2.44
% 10.43/2.44
% 10.43/2.44 % Terminating...
% 10.95/2.49 % Runner terminated.
% 10.95/2.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------