TSTP Solution File: SWV571-1.046 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV571-1.046 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3JwWX94xAT 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 : Fri Sep 1 00:11:25 EDT 2023
% Result : Unsatisfiable 7.02s 1.58s
% Output : Refutation 7.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV571-1.046 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3JwWX94xAT true
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 05:49:52 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.08/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.08/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.08/0.77 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.08/0.78 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 7.02/1.58 % Solved by fo/fo1_lcnf.sh.
% 7.02/1.58 % done 2116 iterations in 0.753s
% 7.02/1.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.02/1.58 % SZS output start Refutation
% 7.02/1.58 thf(index_162_type, type, index_162: $i).
% 7.02/1.58 thf(queue_257_type, type, queue_257: $i).
% 7.02/1.58 thf(earray_274_type, type, earray_274: $i).
% 7.02/1.58 thf(queue_215_type, type, queue_215: $i).
% 7.02/1.58 thf(q44_type, type, q44: $i).
% 7.02/1.58 thf(queue_175_type, type, queue_175: $i).
% 7.02/1.58 thf(index_189_type, type, index_189: $i).
% 7.02/1.58 thf(index_54_type, type, index_54: $i).
% 7.02/1.58 thf(index_267_type, type, index_267: $i).
% 7.02/1.58 thf(queue_235_type, type, queue_235: $i).
% 7.02/1.58 thf(queue_119_type, type, queue_119: $i).
% 7.02/1.58 thf(earray_160_type, type, earray_160: $i).
% 7.02/1.58 thf(earray_100_type, type, earray_100: $i).
% 7.02/1.58 thf(index_213_type, type, index_213: $i).
% 7.02/1.58 thf(index_228_type, type, index_228: $i).
% 7.02/1.58 thf(e45_type, type, e45: $i).
% 7.02/1.58 thf(index_117_type, type, index_117: $i).
% 7.02/1.58 thf(queue_155_type, type, queue_155: $i).
% 7.02/1.58 thf(index_174_type, type, index_174: $i).
% 7.02/1.58 thf(index_234_type, type, index_234: $i).
% 7.02/1.58 thf(queue_253_type, type, queue_253: $i).
% 7.02/1.58 thf(index_177_type, type, index_177: $i).
% 7.02/1.58 thf(queue_205_type, type, queue_205: $i).
% 7.02/1.58 thf(index_51_type, type, index_51: $i).
% 7.02/1.58 thf(index_99_type, type, index_99: $i).
% 7.02/1.58 thf(earray_94_type, type, earray_94: $i).
% 7.02/1.58 thf(queue_25_type, type, queue_25: $i).
% 7.02/1.58 thf(index_273_type, type, index_273: $i).
% 7.02/1.58 thf(earray_232_type, type, earray_232: $i).
% 7.02/1.58 thf(index_93_type, type, index_93: $i).
% 7.02/1.58 thf(queue_107_type, type, queue_107: $i).
% 7.02/1.58 thf(index_45_type, type, index_45: $i).
% 7.02/1.58 thf(earray_238_type, type, earray_238: $i).
% 7.02/1.58 thf(q23_type, type, q23: $i).
% 7.02/1.58 thf(queue_229_type, type, queue_229: $i).
% 7.02/1.58 thf(q5_type, type, q5: $i).
% 7.02/1.58 thf(earray_208_type, type, earray_208: $i).
% 7.02/1.58 thf(queue_65_type, type, queue_65: $i).
% 7.02/1.58 thf(queue_241_type, type, queue_241: $i).
% 7.02/1.58 thf(queue_41_type, type, queue_41: $i).
% 7.02/1.58 thf(queue_125_type, type, queue_125: $i).
% 7.02/1.58 thf(earray_190_type, type, earray_190: $i).
% 7.02/1.58 thf(index_281_type, type, index_281: $i).
% 7.02/1.58 thf(queue_97_type, type, queue_97: $i).
% 7.02/1.58 thf(queue_197_type, type, queue_197: $i).
% 7.02/1.58 thf(index_15_type, type, index_15: $i).
% 7.02/1.58 thf(queue_23_type, type, queue_23: $i).
% 7.02/1.58 thf(index_258_type, type, index_258: $i).
% 7.02/1.58 thf(q10_type, type, q10: $i).
% 7.02/1.58 thf(queue_157_type, type, queue_157: $i).
% 7.02/1.58 thf(queue_7_type, type, queue_7: $i).
% 7.02/1.58 thf(queue_139_type, type, queue_139: $i).
% 7.02/1.58 thf(earray_76_type, type, earray_76: $i).
% 7.02/1.58 thf(index_168_type, type, index_168: $i).
% 7.02/1.58 thf(queue_5_type, type, queue_5: $i).
% 7.02/1.58 thf(store_type, type, store: $i > $i > $i > $i).
% 7.02/1.58 thf(queue_233_type, type, queue_233: $i).
% 7.02/1.58 thf(index_147_type, type, index_147: $i).
% 7.02/1.58 thf(queue_137_type, type, queue_137: $i).
% 7.02/1.58 thf(earray_136_type, type, earray_136: $i).
% 7.02/1.58 thf(index_243_type, type, index_243: $i).
% 7.02/1.58 thf(queue_227_type, type, queue_227: $i).
% 7.02/1.58 thf(queue_13_type, type, queue_13: $i).
% 7.02/1.58 thf(q36_type, type, q36: $i).
% 7.02/1.58 thf(queue_47_type, type, queue_47: $i).
% 7.02/1.58 thf(q20_type, type, q20: $i).
% 7.02/1.58 thf(index_3_type, type, index_3: $i).
% 7.02/1.58 thf(index_114_type, type, index_114: $i).
% 7.02/1.58 thf(queue_211_type, type, queue_211: $i).
% 7.02/1.58 thf(earray_262_type, type, earray_262: $i).
% 7.02/1.58 thf(index_39_type, type, index_39: $i).
% 7.02/1.58 thf(q12_type, type, q12: $i).
% 7.02/1.58 thf(index_279_type, type, index_279: $i).
% 7.02/1.58 thf(q34_type, type, q34: $i).
% 7.02/1.58 thf(head_type, type, head: $i).
% 7.02/1.58 thf(earray_118_type, type, earray_118: $i).
% 7.02/1.58 thf(index_42_type, type, index_42: $i).
% 7.02/1.58 thf(earray_178_type, type, earray_178: $i).
% 7.02/1.58 thf(earray_184_type, type, earray_184: $i).
% 7.02/1.58 thf(index_216_type, type, index_216: $i).
% 7.02/1.58 thf(queue_221_type, type, queue_221: $i).
% 7.02/1.58 thf(queue_173_type, type, queue_173: $i).
% 7.02/1.58 thf(earray_58_type, type, earray_58: $i).
% 7.02/1.58 thf(q45_type, type, q45: $i).
% 7.02/1.58 thf(index_240_type, type, index_240: $i).
% 7.02/1.58 thf(queue_169_type, type, queue_169: $i).
% 7.02/1.58 thf(earray_10_type, type, earray_10: $i).
% 7.02/1.58 thf(index_210_type, type, index_210: $i).
% 7.02/1.58 thf(q32_type, type, q32: $i).
% 7.02/1.58 thf(index_36_type, type, index_36: $i).
% 7.02/1.58 thf(index_72_type, type, index_72: $i).
% 7.02/1.58 thf(queue_271_type, type, queue_271: $i).
% 7.02/1.58 thf(queue_209_type, type, queue_209: $i).
% 7.02/1.58 thf(queue_73_type, type, queue_73: $i).
% 7.02/1.58 thf(queue_109_type, type, queue_109: $i).
% 7.02/1.58 thf(queue_223_type, type, queue_223: $i).
% 7.02/1.58 thf(index_123_type, type, index_123: $i).
% 7.02/1.58 thf(q43_type, type, q43: $i).
% 7.02/1.58 thf(earray_64_type, type, earray_64: $i).
% 7.02/1.58 thf(queue_187_type, type, queue_187: $i).
% 7.02/1.58 thf(index_90_type, type, index_90: $i).
% 7.02/1.58 thf(earray_130_type, type, earray_130: $i).
% 7.02/1.58 thf(index_282_type, type, index_282: $i).
% 7.02/1.58 thf(index_75_type, type, index_75: $i).
% 7.02/1.58 thf(elem_283_type, type, elem_283: $i).
% 7.02/1.58 thf(earray_268_type, type, earray_268: $i).
% 7.02/1.58 thf(index_231_type, type, index_231: $i).
% 7.02/1.58 thf(q38_type, type, q38: $i).
% 7.02/1.58 thf(queue_143_type, type, queue_143: $i).
% 7.02/1.58 thf(earray_22_type, type, earray_22: $i).
% 7.02/1.58 thf(index_237_type, type, index_237: $i).
% 7.02/1.58 thf(queue_19_type, type, queue_19: $i).
% 7.02/1.58 thf(index_129_type, type, index_129: $i).
% 7.02/1.58 thf(q1_type, type, q1: $i).
% 7.02/1.58 thf(queue_277_type, type, queue_277: $i).
% 7.02/1.58 thf(index_0_type, type, index_0: $i).
% 7.02/1.58 thf(index_270_type, type, index_270: $i).
% 7.02/1.58 thf(index_33_type, type, index_33: $i).
% 7.02/1.58 thf(index_246_type, type, index_246: $i).
% 7.02/1.58 thf(queue_199_type, type, queue_199: $i).
% 7.02/1.58 thf(queue_67_type, type, queue_67: $i).
% 7.02/1.58 thf(q0_type, type, q0: $i).
% 7.02/1.58 thf(queue_115_type, type, queue_115: $i).
% 7.02/1.58 thf(q8_type, type, q8: $i).
% 7.02/1.58 thf(index_12_type, type, index_12: $i).
% 7.02/1.58 thf(q24_type, type, q24: $i).
% 7.02/1.58 thf(index_180_type, type, index_180: $i).
% 7.02/1.58 thf(queue_49_type, type, queue_49: $i).
% 7.02/1.58 thf(index_111_type, type, index_111: $i).
% 7.02/1.58 thf(queue_149_type, type, queue_149: $i).
% 7.02/1.58 thf(queue_101_type, type, queue_101: $i).
% 7.02/1.58 thf(index_171_type, type, index_171: $i).
% 7.02/1.58 thf(q_type, type, q: $i).
% 7.02/1.58 thf(queue_35_type, type, queue_35: $i).
% 7.02/1.58 thf(q6_type, type, q6: $i).
% 7.02/1.58 thf(queue_11_type, type, queue_11: $i).
% 7.02/1.58 thf(index_30_type, type, index_30: $i).
% 7.02/1.58 thf(queue_37_type, type, queue_37: $i).
% 7.02/1.58 thf(queue_61_type, type, queue_61: $i).
% 7.02/1.58 thf(q16_type, type, q16: $i).
% 7.02/1.58 thf(index_96_type, type, index_96: $i).
% 7.02/1.58 thf(earray_88_type, type, earray_88: $i).
% 7.02/1.58 thf(q13_type, type, q13: $i).
% 7.02/1.58 thf(queue_55_type, type, queue_55: $i).
% 7.02/1.58 thf(queue_181_type, type, queue_181: $i).
% 7.02/1.58 thf(index_276_type, type, index_276: $i).
% 7.02/1.58 thf(q33_type, type, q33: $i).
% 7.02/1.58 thf(index_24_type, type, index_24: $i).
% 7.02/1.58 thf(index_57_type, type, index_57: $i).
% 7.02/1.58 thf(q42_type, type, q42: $i).
% 7.02/1.58 thf(queue_91_type, type, queue_91: $i).
% 7.02/1.58 thf(earray_148_type, type, earray_148: $i).
% 7.02/1.58 thf(earray_106_type, type, earray_106: $i).
% 7.02/1.58 thf(index_105_type, type, index_105: $i).
% 7.02/1.58 thf(queue_245_type, type, queue_245: $i).
% 7.02/1.58 thf(queue_113_type, type, queue_113: $i).
% 7.02/1.58 thf(earray_154_type, type, earray_154: $i).
% 7.02/1.58 thf(queue_145_type, type, queue_145: $i).
% 7.02/1.58 thf(index_138_type, type, index_138: $i).
% 7.02/1.58 thf(queue_89_type, type, queue_89: $i).
% 7.02/1.58 thf(q37_type, type, q37: $i).
% 7.02/1.58 thf(earray_28_type, type, earray_28: $i).
% 7.02/1.58 thf(q30_type, type, q30: $i).
% 7.02/1.58 thf(queue_269_type, type, queue_269: $i).
% 7.02/1.58 thf(elem_280_type, type, elem_280: $i).
% 7.02/1.58 thf(q27_type, type, q27: $i).
% 7.02/1.58 thf(index_9_type, type, index_9: $i).
% 7.02/1.58 thf(queue_217_type, type, queue_217: $i).
% 7.02/1.58 thf(queue_31_type, type, queue_31: $i).
% 7.02/1.58 thf(queue_77_type, type, queue_77: $i).
% 7.02/1.58 thf(index_141_type, type, index_141: $i).
% 7.02/1.58 thf(q17_type, type, q17: $i).
% 7.02/1.58 thf(queue_53_type, type, queue_53: $i).
% 7.02/1.58 thf(index_165_type, type, index_165: $i).
% 7.02/1.58 thf(seq_type, type, seq: $i).
% 7.02/1.58 thf(queue_275_type, type, queue_275: $i).
% 7.02/1.58 thf(earray_226_type, type, earray_226: $i).
% 7.02/1.58 thf(queue_29_type, type, queue_29: $i).
% 7.02/1.58 thf(q7_type, type, q7: $i).
% 7.02/1.58 thf(earray_16_type, type, earray_16: $i).
% 7.02/1.58 thf(q29_type, type, q29: $i).
% 7.02/1.58 thf(index_261_type, type, index_261: $i).
% 7.02/1.58 thf(earray_220_type, type, earray_220: $i).
% 7.02/1.58 thf(earray_124_type, type, earray_124: $i).
% 7.02/1.58 thf(index_183_type, type, index_183: $i).
% 7.02/1.58 thf(earray_202_type, type, earray_202: $i).
% 7.02/1.58 thf(earray_256_type, type, earray_256: $i).
% 7.02/1.58 thf(q9_type, type, q9: $i).
% 7.02/1.58 thf(index_186_type, type, index_186: $i).
% 7.02/1.58 thf(index_204_type, type, index_204: $i).
% 7.02/1.58 thf(q35_type, type, q35: $i).
% 7.02/1.58 thf(queue_95_type, type, queue_95: $i).
% 7.02/1.58 thf(select_type, type, select: $i > $i > $i).
% 7.02/1.58 thf(q15_type, type, q15: $i).
% 7.02/1.58 thf(earray_46_type, type, earray_46: $i).
% 7.02/1.58 thf(earray_172_type, type, earray_172: $i).
% 7.02/1.58 thf(earray_52_type, type, earray_52: $i).
% 7.02/1.58 thf(q46_type, type, q46: $i).
% 7.02/1.58 thf(q19_type, type, q19: $i).
% 7.02/1.58 thf(queue_247_type, type, queue_247: $i).
% 7.02/1.58 thf(index_144_type, type, index_144: $i).
% 7.02/1.58 thf(queue_127_type, type, queue_127: $i).
% 7.02/1.58 thf(index_249_type, type, index_249: $i).
% 7.02/1.58 thf(q18_type, type, q18: $i).
% 7.02/1.58 thf(earray_244_type, type, earray_244: $i).
% 7.02/1.58 thf(q2_type, type, q2: $i).
% 7.02/1.58 thf(tail_type, type, tail: $i).
% 7.02/1.58 thf(index_198_type, type, index_198: $i).
% 7.02/1.58 thf(index_135_type, type, index_135: $i).
% 7.02/1.58 thf(q26_type, type, q26: $i).
% 7.02/1.58 thf(q39_type, type, q39: $i).
% 7.02/1.58 thf(q14_type, type, q14: $i).
% 7.02/1.58 thf(index_108_type, type, index_108: $i).
% 7.02/1.58 thf(index_48_type, type, index_48: $i).
% 7.02/1.58 thf(index_225_type, type, index_225: $i).
% 7.02/1.58 thf(q11_type, type, q11: $i).
% 7.02/1.58 thf(queue_83_type, type, queue_83: $i).
% 7.02/1.58 thf(index_195_type, type, index_195: $i).
% 7.02/1.58 thf(index_6_type, type, index_6: $i).
% 7.02/1.58 thf(index_159_type, type, index_159: $i).
% 7.02/1.58 thf(earray_4_type, type, earray_4: $i).
% 7.02/1.58 thf(queue_239_type, type, queue_239: $i).
% 7.02/1.58 thf(index_219_type, type, index_219: $i).
% 7.02/1.58 thf(s_type, type, s: $i > $i).
% 7.02/1.58 thf(earray_112_type, type, earray_112: $i).
% 7.02/1.58 thf(index_78_type, type, index_78: $i).
% 7.02/1.58 thf(queue_191_type, type, queue_191: $i).
% 7.02/1.58 thf(index_63_type, type, index_63: $i).
% 7.02/1.58 thf(queue_103_type, type, queue_103: $i).
% 7.02/1.58 thf(index_66_type, type, index_66: $i).
% 7.02/1.58 thf(index_102_type, type, index_102: $i).
% 7.02/1.58 thf(index_153_type, type, index_153: $i).
% 7.02/1.58 thf(queue_265_type, type, queue_265: $i).
% 7.02/1.58 thf(index_207_type, type, index_207: $i).
% 7.02/1.58 thf(queue_193_type, type, queue_193: $i).
% 7.02/1.58 thf(queue_85_type, type, queue_85: $i).
% 7.02/1.58 thf(queue_163_type, type, queue_163: $i).
% 7.02/1.58 thf(index_255_type, type, index_255: $i).
% 7.02/1.58 thf(earray_196_type, type, earray_196: $i).
% 7.02/1.58 thf(queue_59_type, type, queue_59: $i).
% 7.02/1.58 thf(index_120_type, type, index_120: $i).
% 7.02/1.58 thf(queue_167_type, type, queue_167: $i).
% 7.02/1.58 thf(q41_type, type, q41: $i).
% 7.02/1.58 thf(index_87_type, type, index_87: $i).
% 7.02/1.58 thf(index_60_type, type, index_60: $i).
% 7.02/1.58 thf(index_132_type, type, index_132: $i).
% 7.02/1.58 thf(earray_82_type, type, earray_82: $i).
% 7.02/1.58 thf(queue_251_type, type, queue_251: $i).
% 7.02/1.58 thf(queue_203_type, type, queue_203: $i).
% 7.02/1.58 thf(queue_185_type, type, queue_185: $i).
% 7.02/1.58 thf(index_126_type, type, index_126: $i).
% 7.02/1.58 thf(earray_214_type, type, earray_214: $i).
% 7.02/1.58 thf(earray_142_type, type, earray_142: $i).
% 7.02/1.58 thf(earray_70_type, type, earray_70: $i).
% 7.02/1.58 thf(q21_type, type, q21: $i).
% 7.02/1.58 thf(q40_type, type, q40: $i).
% 7.02/1.58 thf(queue_17_type, type, queue_17: $i).
% 7.02/1.58 thf(queue_1_type, type, queue_1: $i).
% 7.02/1.58 thf(index_222_type, type, index_222: $i).
% 7.02/1.58 thf(queue_151_type, type, queue_151: $i).
% 7.02/1.58 thf(queue_133_type, type, queue_133: $i).
% 7.02/1.58 thf(index_81_type, type, index_81: $i).
% 7.02/1.58 thf(queue_161_type, type, queue_161: $i).
% 7.02/1.58 thf(index_150_type, type, index_150: $i).
% 7.02/1.58 thf(q25_type, type, q25: $i).
% 7.02/1.58 thf(q3_type, type, q3: $i).
% 7.02/1.58 thf(q31_type, type, q31: $i).
% 7.02/1.58 thf(queue_131_type, type, queue_131: $i).
% 7.02/1.58 thf(earray_242_type, type, earray_242: $i).
% 7.02/1.58 thf(index_252_type, type, index_252: $i).
% 7.02/1.58 thf(queue_43_type, type, queue_43: $i).
% 7.02/1.58 thf(queue_121_type, type, queue_121: $i).
% 7.02/1.58 thf(index_192_type, type, index_192: $i).
% 7.02/1.58 thf(index_69_type, type, index_69: $i).
% 7.02/1.58 thf(index_27_type, type, index_27: $i).
% 7.02/1.58 thf(queue_79_type, type, queue_79: $i).
% 7.02/1.58 thf(q22_type, type, q22: $i).
% 7.02/1.58 thf(p_type, type, p: $i > $i).
% 7.02/1.58 thf(index_156_type, type, index_156: $i).
% 7.02/1.58 thf(index_84_type, type, index_84: $i).
% 7.02/1.58 thf(earray_34_type, type, earray_34: $i).
% 7.02/1.58 thf(q28_type, type, q28: $i).
% 7.02/1.58 thf(index_264_type, type, index_264: $i).
% 7.02/1.58 thf(queue_71_type, type, queue_71: $i).
% 7.02/1.58 thf(earray_40_type, type, earray_40: $i).
% 7.02/1.58 thf(q4_type, type, q4: $i).
% 7.02/1.58 thf(index_21_type, type, index_21: $i).
% 7.02/1.58 thf(queue_179_type, type, queue_179: $i).
% 7.02/1.58 thf(queue_259_type, type, queue_259: $i).
% 7.02/1.58 thf(earray_166_type, type, earray_166: $i).
% 7.02/1.58 thf(earray_278_type, type, earray_278: $i).
% 7.02/1.58 thf(queue_263_type, type, queue_263: $i).
% 7.02/1.58 thf(index_18_type, type, index_18: $i).
% 7.02/1.58 thf(earray_250_type, type, earray_250: $i).
% 7.02/1.58 thf(index_201_type, type, index_201: $i).
% 7.02/1.58 thf(hyp93, axiom, (( elem_280 ) = ( select @ earray_278 @ index_279 ))).
% 7.02/1.58 thf(zip_derived_cl103, plain,
% 7.02/1.58 (((elem_280) = (select @ earray_278 @ index_279))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp93])).
% 7.02/1.58 thf(hyp66, axiom, (( earray_278 ) = ( select @ q46 @ seq ))).
% 7.02/1.58 thf(zip_derived_cl76, plain, (((earray_278) = (select @ q46 @ seq))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp66])).
% 7.02/1.58 thf(hyp246, axiom,
% 7.02/1.58 (( queue_247 ) = ( store @ queue_245 @ tail @ index_246 ))).
% 7.02/1.58 thf(zip_derived_cl256, plain,
% 7.02/1.58 (((queue_247) = (store @ queue_245 @ tail @ index_246))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp246])).
% 7.02/1.58 thf(hyp325, axiom, (( q46 ) = ( queue_247 ))).
% 7.02/1.58 thf(zip_derived_cl335, plain, (((q46) = (queue_247))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp325])).
% 7.02/1.58 thf(zip_derived_cl944, plain,
% 7.02/1.58 (((q46) = (store @ queue_245 @ tail @ index_246))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl335])).
% 7.02/1.58 thf(hyp149, axiom, (( index_246 ) = ( s @ index_243 ))).
% 7.02/1.58 thf(zip_derived_cl159, plain, (((index_246) = (s @ index_243))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp149])).
% 7.02/1.58 thf(hyp147, axiom, (( index_240 ) = ( s @ index_237 ))).
% 7.02/1.58 thf(zip_derived_cl157, plain, (((index_240) = (s @ index_237))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp147])).
% 7.02/1.58 thf(hyp244, axiom,
% 7.02/1.58 (( queue_241 ) = ( store @ queue_239 @ tail @ index_240 ))).
% 7.02/1.58 thf(zip_derived_cl254, plain,
% 7.02/1.58 (((queue_241) = (store @ queue_239 @ tail @ index_240))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp244])).
% 7.02/1.58 thf(hyp324, axiom, (( q45 ) = ( queue_241 ))).
% 7.02/1.58 thf(zip_derived_cl334, plain, (((q45) = (queue_241))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp324])).
% 7.02/1.58 thf(zip_derived_cl938, plain,
% 7.02/1.58 (((q45) = (store @ queue_239 @ tail @ index_240))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl254, zip_derived_cl334])).
% 7.02/1.58 thf(a1, axiom, (( select @ ( store @ A @ I @ E ) @ I ) = ( E ))).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl939, plain, (((select @ q45 @ tail) = (index_240))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl0])).
% 7.02/1.58 thf(hyp148, axiom, (( index_243 ) = ( select @ q45 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl158, plain, (((index_243) = (select @ q45 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp148])).
% 7.02/1.58 thf(zip_derived_cl941, plain, (((index_243) = (index_240))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl939, zip_derived_cl158])).
% 7.02/1.58 thf(zip_derived_cl1172, plain, (((index_243) = (s @ index_237))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl157, zip_derived_cl941])).
% 7.02/1.58 thf(hyp144, axiom, (( index_234 ) = ( s @ index_231 ))).
% 7.02/1.58 thf(zip_derived_cl154, plain, (((index_234) = (s @ index_231))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp144])).
% 7.02/1.58 thf(hyp242, axiom,
% 7.02/1.58 (( queue_235 ) = ( store @ queue_233 @ tail @ index_234 ))).
% 7.02/1.58 thf(zip_derived_cl252, plain,
% 7.02/1.58 (((queue_235) = (store @ queue_233 @ tail @ index_234))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp242])).
% 7.02/1.58 thf(hyp323, axiom, (( q44 ) = ( queue_235 ))).
% 7.02/1.58 thf(zip_derived_cl333, plain, (((q44) = (queue_235))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp323])).
% 7.02/1.58 thf(zip_derived_cl926, plain,
% 7.02/1.58 (((q44) = (store @ queue_233 @ tail @ index_234))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl252, zip_derived_cl333])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl927, plain, (((select @ q44 @ tail) = (index_234))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl926, zip_derived_cl0])).
% 7.02/1.58 thf(hyp145, axiom, (( index_237 ) = ( select @ q44 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl155, plain, (((index_237) = (select @ q44 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp145])).
% 7.02/1.58 thf(zip_derived_cl929, plain, (((index_237) = (index_234))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl927, zip_derived_cl155])).
% 7.02/1.58 thf(zip_derived_cl1167, plain, (((index_237) = (s @ index_231))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl929])).
% 7.02/1.58 thf(hyp142, axiom, (( index_228 ) = ( s @ index_225 ))).
% 7.02/1.58 thf(zip_derived_cl152, plain, (((index_228) = (s @ index_225))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp142])).
% 7.02/1.58 thf(hyp239, axiom,
% 7.02/1.58 (( queue_229 ) = ( store @ queue_227 @ tail @ index_228 ))).
% 7.02/1.58 thf(zip_derived_cl249, plain,
% 7.02/1.58 (((queue_229) = (store @ queue_227 @ tail @ index_228))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp239])).
% 7.02/1.58 thf(hyp322, axiom, (( q43 ) = ( queue_229 ))).
% 7.02/1.58 thf(zip_derived_cl332, plain, (((q43) = (queue_229))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp322])).
% 7.02/1.58 thf(zip_derived_cl918, plain,
% 7.02/1.58 (((q43) = (store @ queue_227 @ tail @ index_228))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl249, zip_derived_cl332])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl919, plain, (((select @ q43 @ tail) = (index_228))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl0])).
% 7.02/1.58 thf(hyp143, axiom, (( index_231 ) = ( select @ q43 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl153, plain, (((index_231) = (select @ q43 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp143])).
% 7.02/1.58 thf(zip_derived_cl921, plain, (((index_231) = (index_228))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl919, zip_derived_cl153])).
% 7.02/1.58 thf(zip_derived_cl1161, plain, (((index_231) = (s @ index_225))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl921])).
% 7.02/1.58 thf(hyp140, axiom, (( index_222 ) = ( s @ index_219 ))).
% 7.02/1.58 thf(zip_derived_cl150, plain, (((index_222) = (s @ index_219))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp140])).
% 7.02/1.58 thf(hyp237, axiom,
% 7.02/1.58 (( queue_223 ) = ( store @ queue_221 @ tail @ index_222 ))).
% 7.02/1.58 thf(zip_derived_cl247, plain,
% 7.02/1.58 (((queue_223) = (store @ queue_221 @ tail @ index_222))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp237])).
% 7.02/1.58 thf(hyp321, axiom, (( q42 ) = ( queue_223 ))).
% 7.02/1.58 thf(zip_derived_cl331, plain, (((q42) = (queue_223))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp321])).
% 7.02/1.58 thf(zip_derived_cl912, plain,
% 7.02/1.58 (((q42) = (store @ queue_221 @ tail @ index_222))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl331])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl913, plain, (((select @ q42 @ tail) = (index_222))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl912, zip_derived_cl0])).
% 7.02/1.58 thf(hyp141, axiom, (( index_225 ) = ( select @ q42 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl151, plain, (((index_225) = (select @ q42 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp141])).
% 7.02/1.58 thf(zip_derived_cl915, plain, (((index_225) = (index_222))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl913, zip_derived_cl151])).
% 7.02/1.58 thf(zip_derived_cl1155, plain, (((index_225) = (s @ index_219))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl915])).
% 7.02/1.58 thf(hyp138, axiom, (( index_216 ) = ( s @ index_213 ))).
% 7.02/1.58 thf(zip_derived_cl148, plain, (((index_216) = (s @ index_213))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp138])).
% 7.02/1.58 thf(hyp235, axiom,
% 7.02/1.58 (( queue_217 ) = ( store @ queue_215 @ tail @ index_216 ))).
% 7.02/1.58 thf(zip_derived_cl245, plain,
% 7.02/1.58 (((queue_217) = (store @ queue_215 @ tail @ index_216))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp235])).
% 7.02/1.58 thf(hyp320, axiom, (( q41 ) = ( queue_217 ))).
% 7.02/1.58 thf(zip_derived_cl330, plain, (((q41) = (queue_217))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp320])).
% 7.02/1.58 thf(zip_derived_cl900, plain,
% 7.02/1.58 (((q41) = (store @ queue_215 @ tail @ index_216))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl245, zip_derived_cl330])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl901, plain, (((select @ q41 @ tail) = (index_216))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl900, zip_derived_cl0])).
% 7.02/1.58 thf(hyp139, axiom, (( index_219 ) = ( select @ q41 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl149, plain, (((index_219) = (select @ q41 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp139])).
% 7.02/1.58 thf(zip_derived_cl903, plain, (((index_219) = (index_216))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl901, zip_derived_cl149])).
% 7.02/1.58 thf(zip_derived_cl1149, plain, (((index_219) = (s @ index_213))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl148, zip_derived_cl903])).
% 7.02/1.58 thf(hyp136, axiom, (( index_210 ) = ( s @ index_207 ))).
% 7.02/1.58 thf(zip_derived_cl146, plain, (((index_210) = (s @ index_207))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp136])).
% 7.02/1.58 thf(hyp233, axiom,
% 7.02/1.58 (( queue_211 ) = ( store @ queue_209 @ tail @ index_210 ))).
% 7.02/1.58 thf(zip_derived_cl243, plain,
% 7.02/1.58 (((queue_211) = (store @ queue_209 @ tail @ index_210))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp233])).
% 7.02/1.58 thf(hyp319, axiom, (( q40 ) = ( queue_211 ))).
% 7.02/1.58 thf(zip_derived_cl329, plain, (((q40) = (queue_211))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp319])).
% 7.02/1.58 thf(zip_derived_cl894, plain,
% 7.02/1.58 (((q40) = (store @ queue_209 @ tail @ index_210))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl329])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl895, plain, (((select @ q40 @ tail) = (index_210))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl894, zip_derived_cl0])).
% 7.02/1.58 thf(hyp137, axiom, (( index_213 ) = ( select @ q40 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl147, plain, (((index_213) = (select @ q40 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp137])).
% 7.02/1.58 thf(zip_derived_cl897, plain, (((index_213) = (index_210))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl895, zip_derived_cl147])).
% 7.02/1.58 thf(zip_derived_cl1143, plain, (((index_213) = (s @ index_207))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl897])).
% 7.02/1.58 thf(hyp131, axiom, (( index_198 ) = ( s @ index_195 ))).
% 7.02/1.58 thf(zip_derived_cl141, plain, (((index_198) = (s @ index_195))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp131])).
% 7.02/1.58 thf(hyp229, axiom,
% 7.02/1.58 (( queue_199 ) = ( store @ queue_197 @ tail @ index_198 ))).
% 7.02/1.58 thf(zip_derived_cl239, plain,
% 7.02/1.58 (((queue_199) = (store @ queue_197 @ tail @ index_198))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp229])).
% 7.02/1.58 thf(hyp317, axiom, (( q39 ) = ( queue_199 ))).
% 7.02/1.58 thf(zip_derived_cl327, plain, (((q39) = (queue_199))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp317])).
% 7.02/1.58 thf(zip_derived_cl870, plain,
% 7.02/1.58 (((q39) = (store @ queue_197 @ tail @ index_198))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl327])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl871, plain, (((select @ q39 @ tail) = (index_198))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl870, zip_derived_cl0])).
% 7.02/1.58 thf(hyp134, axiom, (( index_207 ) = ( select @ q39 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl144, plain, (((index_207) = (select @ q39 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp134])).
% 7.02/1.58 thf(zip_derived_cl873, plain, (((index_207) = (index_198))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl871, zip_derived_cl144])).
% 7.02/1.58 thf(zip_derived_cl1061, plain, (((index_207) = (s @ index_195))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl873])).
% 7.02/1.58 thf(hyp129, axiom, (( index_192 ) = ( s @ index_189 ))).
% 7.02/1.58 thf(zip_derived_cl139, plain, (((index_192) = (s @ index_189))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp129])).
% 7.02/1.58 thf(hyp227, axiom,
% 7.02/1.58 (( queue_193 ) = ( store @ queue_191 @ tail @ index_192 ))).
% 7.02/1.58 thf(zip_derived_cl237, plain,
% 7.02/1.58 (((queue_193) = (store @ queue_191 @ tail @ index_192))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp227])).
% 7.02/1.58 thf(hyp316, axiom, (( q38 ) = ( queue_193 ))).
% 7.02/1.58 thf(zip_derived_cl326, plain, (((q38) = (queue_193))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp316])).
% 7.02/1.58 thf(zip_derived_cl864, plain,
% 7.02/1.58 (((q38) = (store @ queue_191 @ tail @ index_192))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl326])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl865, plain, (((select @ q38 @ tail) = (index_192))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl0])).
% 7.02/1.58 thf(hyp130, axiom, (( index_195 ) = ( select @ q38 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl140, plain, (((index_195) = (select @ q38 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp130])).
% 7.02/1.58 thf(zip_derived_cl867, plain, (((index_195) = (index_192))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl865, zip_derived_cl140])).
% 7.02/1.58 thf(zip_derived_cl1037, plain, (((index_195) = (s @ index_189))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl867])).
% 7.02/1.58 thf(hyp127, axiom, (( index_186 ) = ( s @ index_183 ))).
% 7.02/1.58 thf(zip_derived_cl137, plain, (((index_186) = (s @ index_183))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp127])).
% 7.02/1.58 thf(hyp224, axiom,
% 7.02/1.58 (( queue_187 ) = ( store @ queue_185 @ tail @ index_186 ))).
% 7.02/1.58 thf(zip_derived_cl234, plain,
% 7.02/1.58 (((queue_187) = (store @ queue_185 @ tail @ index_186))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp224])).
% 7.02/1.58 thf(hyp315, axiom, (( q37 ) = ( queue_187 ))).
% 7.02/1.58 thf(zip_derived_cl325, plain, (((q37) = (queue_187))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp315])).
% 7.02/1.58 thf(zip_derived_cl849, plain,
% 7.02/1.58 (((q37) = (store @ queue_185 @ tail @ index_186))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl234, zip_derived_cl325])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl850, plain, (((select @ q37 @ tail) = (index_186))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl849, zip_derived_cl0])).
% 7.02/1.58 thf(hyp128, axiom, (( index_189 ) = ( select @ q37 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl138, plain, (((index_189) = (select @ q37 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp128])).
% 7.02/1.58 thf(zip_derived_cl852, plain, (((index_189) = (index_186))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl850, zip_derived_cl138])).
% 7.02/1.58 thf(zip_derived_cl1007, plain, (((index_189) = (s @ index_183))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl137, zip_derived_cl852])).
% 7.02/1.58 thf(hyp125, axiom, (( index_180 ) = ( s @ index_177 ))).
% 7.02/1.58 thf(zip_derived_cl135, plain, (((index_180) = (s @ index_177))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp125])).
% 7.02/1.58 thf(hyp222, axiom,
% 7.02/1.58 (( queue_181 ) = ( store @ queue_179 @ tail @ index_180 ))).
% 7.02/1.58 thf(zip_derived_cl232, plain,
% 7.02/1.58 (((queue_181) = (store @ queue_179 @ tail @ index_180))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp222])).
% 7.02/1.58 thf(hyp314, axiom, (( q36 ) = ( queue_181 ))).
% 7.02/1.58 thf(zip_derived_cl324, plain, (((q36) = (queue_181))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp314])).
% 7.02/1.58 thf(zip_derived_cl843, plain,
% 7.02/1.58 (((q36) = (store @ queue_179 @ tail @ index_180))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl232, zip_derived_cl324])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl844, plain, (((select @ q36 @ tail) = (index_180))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl843, zip_derived_cl0])).
% 7.02/1.58 thf(hyp126, axiom, (( index_183 ) = ( select @ q36 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl136, plain, (((index_183) = (select @ q36 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp126])).
% 7.02/1.58 thf(zip_derived_cl846, plain, (((index_183) = (index_180))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl844, zip_derived_cl136])).
% 7.02/1.58 thf(zip_derived_cl983, plain, (((index_183) = (s @ index_177))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl846])).
% 7.02/1.58 thf(hyp122, axiom, (( index_174 ) = ( s @ index_171 ))).
% 7.02/1.58 thf(zip_derived_cl132, plain, (((index_174) = (s @ index_171))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp122])).
% 7.02/1.58 thf(hyp220, axiom,
% 7.02/1.58 (( queue_175 ) = ( store @ queue_173 @ tail @ index_174 ))).
% 7.02/1.58 thf(zip_derived_cl230, plain,
% 7.02/1.58 (((queue_175) = (store @ queue_173 @ tail @ index_174))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp220])).
% 7.02/1.58 thf(hyp313, axiom, (( q35 ) = ( queue_175 ))).
% 7.02/1.58 thf(zip_derived_cl323, plain, (((q35) = (queue_175))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp313])).
% 7.02/1.58 thf(zip_derived_cl837, plain,
% 7.02/1.58 (((q35) = (store @ queue_173 @ tail @ index_174))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl323])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl838, plain, (((select @ q35 @ tail) = (index_174))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl837, zip_derived_cl0])).
% 7.02/1.58 thf(hyp123, axiom, (( index_177 ) = ( select @ q35 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl133, plain, (((index_177) = (select @ q35 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp123])).
% 7.02/1.58 thf(zip_derived_cl840, plain, (((index_177) = (index_174))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl838, zip_derived_cl133])).
% 7.02/1.58 thf(zip_derived_cl959, plain, (((index_177) = (s @ index_171))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl840])).
% 7.02/1.58 thf(hyp120, axiom, (( index_168 ) = ( s @ index_165 ))).
% 7.02/1.58 thf(zip_derived_cl130, plain, (((index_168) = (s @ index_165))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp120])).
% 7.02/1.58 thf(hyp217, axiom,
% 7.02/1.58 (( queue_169 ) = ( store @ queue_167 @ tail @ index_168 ))).
% 7.02/1.58 thf(zip_derived_cl227, plain,
% 7.02/1.58 (((queue_169) = (store @ queue_167 @ tail @ index_168))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp217])).
% 7.02/1.58 thf(hyp312, axiom, (( q34 ) = ( queue_169 ))).
% 7.02/1.58 thf(zip_derived_cl322, plain, (((q34) = (queue_169))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp312])).
% 7.02/1.58 thf(zip_derived_cl823, plain,
% 7.02/1.58 (((q34) = (store @ queue_167 @ tail @ index_168))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl227, zip_derived_cl322])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl824, plain, (((select @ q34 @ tail) = (index_168))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl823, zip_derived_cl0])).
% 7.02/1.58 thf(hyp121, axiom, (( index_171 ) = ( select @ q34 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl131, plain, (((index_171) = (select @ q34 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp121])).
% 7.02/1.58 thf(zip_derived_cl826, plain, (((index_171) = (index_168))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl824, zip_derived_cl131])).
% 7.02/1.58 thf(zip_derived_cl951, plain, (((index_171) = (s @ index_165))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl826])).
% 7.02/1.58 thf(hyp118, axiom, (( index_162 ) = ( s @ index_159 ))).
% 7.02/1.58 thf(zip_derived_cl128, plain, (((index_162) = (s @ index_159))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp118])).
% 7.02/1.58 thf(hyp215, axiom,
% 7.02/1.58 (( queue_163 ) = ( store @ queue_161 @ tail @ index_162 ))).
% 7.02/1.58 thf(zip_derived_cl225, plain,
% 7.02/1.58 (((queue_163) = (store @ queue_161 @ tail @ index_162))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp215])).
% 7.02/1.58 thf(hyp311, axiom, (( q33 ) = ( queue_163 ))).
% 7.02/1.58 thf(zip_derived_cl321, plain, (((q33) = (queue_163))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp311])).
% 7.02/1.58 thf(zip_derived_cl817, plain,
% 7.02/1.58 (((q33) = (store @ queue_161 @ tail @ index_162))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl225, zip_derived_cl321])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl818, plain, (((select @ q33 @ tail) = (index_162))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl817, zip_derived_cl0])).
% 7.02/1.58 thf(hyp119, axiom, (( index_165 ) = ( select @ q33 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl129, plain, (((index_165) = (select @ q33 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp119])).
% 7.02/1.58 thf(zip_derived_cl820, plain, (((index_165) = (index_162))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl818, zip_derived_cl129])).
% 7.02/1.58 thf(zip_derived_cl930, plain, (((index_165) = (s @ index_159))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl820])).
% 7.02/1.58 thf(hyp116, axiom, (( index_156 ) = ( s @ index_153 ))).
% 7.02/1.58 thf(zip_derived_cl126, plain, (((index_156) = (s @ index_153))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp116])).
% 7.02/1.58 thf(hyp213, axiom,
% 7.02/1.58 (( queue_157 ) = ( store @ queue_155 @ tail @ index_156 ))).
% 7.02/1.58 thf(zip_derived_cl223, plain,
% 7.02/1.58 (((queue_157) = (store @ queue_155 @ tail @ index_156))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp213])).
% 7.02/1.58 thf(hyp310, axiom, (( q32 ) = ( queue_157 ))).
% 7.02/1.58 thf(zip_derived_cl320, plain, (((q32) = (queue_157))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp310])).
% 7.02/1.58 thf(zip_derived_cl811, plain,
% 7.02/1.58 (((q32) = (store @ queue_155 @ tail @ index_156))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl223, zip_derived_cl320])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl812, plain, (((select @ q32 @ tail) = (index_156))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl811, zip_derived_cl0])).
% 7.02/1.58 thf(hyp117, axiom, (( index_159 ) = ( select @ q32 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl127, plain, (((index_159) = (select @ q32 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp117])).
% 7.02/1.58 thf(zip_derived_cl814, plain, (((index_159) = (index_156))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl812, zip_derived_cl127])).
% 7.02/1.58 thf(zip_derived_cl906, plain, (((index_159) = (s @ index_153))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl814])).
% 7.02/1.58 thf(hyp114, axiom, (( index_150 ) = ( s @ index_147 ))).
% 7.02/1.58 thf(zip_derived_cl124, plain, (((index_150) = (s @ index_147))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp114])).
% 7.02/1.58 thf(hyp211, axiom,
% 7.02/1.58 (( queue_151 ) = ( store @ queue_149 @ tail @ index_150 ))).
% 7.02/1.58 thf(zip_derived_cl221, plain,
% 7.02/1.58 (((queue_151) = (store @ queue_149 @ tail @ index_150))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp211])).
% 7.02/1.58 thf(hyp309, axiom, (( q31 ) = ( queue_151 ))).
% 7.02/1.58 thf(zip_derived_cl319, plain, (((q31) = (queue_151))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp309])).
% 7.02/1.58 thf(zip_derived_cl794, plain,
% 7.02/1.58 (((q31) = (store @ queue_149 @ tail @ index_150))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl319])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl795, plain, (((select @ q31 @ tail) = (index_150))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl794, zip_derived_cl0])).
% 7.02/1.58 thf(hyp115, axiom, (( index_153 ) = ( select @ q31 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl125, plain, (((index_153) = (select @ q31 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp115])).
% 7.02/1.58 thf(zip_derived_cl797, plain, (((index_153) = (index_150))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl795, zip_derived_cl125])).
% 7.02/1.58 thf(zip_derived_cl882, plain, (((index_153) = (s @ index_147))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl124, zip_derived_cl797])).
% 7.02/1.58 thf(hyp111, axiom, (( index_144 ) = ( s @ index_141 ))).
% 7.02/1.58 thf(zip_derived_cl121, plain, (((index_144) = (s @ index_141))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp111])).
% 7.02/1.58 thf(hyp209, axiom,
% 7.02/1.58 (( queue_145 ) = ( store @ queue_143 @ tail @ index_144 ))).
% 7.02/1.58 thf(zip_derived_cl219, plain,
% 7.02/1.58 (((queue_145) = (store @ queue_143 @ tail @ index_144))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp209])).
% 7.02/1.58 thf(hyp308, axiom, (( q30 ) = ( queue_145 ))).
% 7.02/1.58 thf(zip_derived_cl318, plain, (((q30) = (queue_145))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp308])).
% 7.02/1.58 thf(zip_derived_cl788, plain,
% 7.02/1.58 (((q30) = (store @ queue_143 @ tail @ index_144))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl219, zip_derived_cl318])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl789, plain, (((select @ q30 @ tail) = (index_144))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl788, zip_derived_cl0])).
% 7.02/1.58 thf(hyp112, axiom, (( index_147 ) = ( select @ q30 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl122, plain, (((index_147) = (select @ q30 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp112])).
% 7.02/1.58 thf(zip_derived_cl791, plain, (((index_147) = (index_144))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl789, zip_derived_cl122])).
% 7.02/1.58 thf(zip_derived_cl874, plain, (((index_147) = (s @ index_141))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl791])).
% 7.02/1.58 thf(hyp107, axiom, (( index_132 ) = ( s @ index_129 ))).
% 7.02/1.58 thf(zip_derived_cl117, plain, (((index_132) = (s @ index_129))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp107])).
% 7.02/1.58 thf(hyp205, axiom,
% 7.02/1.58 (( queue_133 ) = ( store @ queue_131 @ tail @ index_132 ))).
% 7.02/1.58 thf(zip_derived_cl215, plain,
% 7.02/1.58 (((queue_133) = (store @ queue_131 @ tail @ index_132))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp205])).
% 7.02/1.58 thf(hyp306, axiom, (( q29 ) = ( queue_133 ))).
% 7.02/1.58 thf(zip_derived_cl316, plain, (((q29) = (queue_133))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp306])).
% 7.02/1.58 thf(zip_derived_cl770, plain,
% 7.02/1.58 (((q29) = (store @ queue_131 @ tail @ index_132))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl215, zip_derived_cl316])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl771, plain, (((select @ q29 @ tail) = (index_132))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl770, zip_derived_cl0])).
% 7.02/1.58 thf(hyp110, axiom, (( index_141 ) = ( select @ q29 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl120, plain, (((index_141) = (select @ q29 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp110])).
% 7.02/1.58 thf(zip_derived_cl773, plain, (((index_141) = (index_132))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl771, zip_derived_cl120])).
% 7.02/1.58 thf(zip_derived_cl829, plain, (((index_141) = (s @ index_129))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl773])).
% 7.02/1.58 thf(hyp105, axiom, (( index_126 ) = ( s @ index_123 ))).
% 7.02/1.58 thf(zip_derived_cl115, plain, (((index_126) = (s @ index_123))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp105])).
% 7.02/1.58 thf(hyp202, axiom,
% 7.02/1.58 (( queue_127 ) = ( store @ queue_125 @ tail @ index_126 ))).
% 7.02/1.58 thf(zip_derived_cl212, plain,
% 7.02/1.58 (((queue_127) = (store @ queue_125 @ tail @ index_126))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp202])).
% 7.02/1.58 thf(hyp305, axiom, (( q28 ) = ( queue_127 ))).
% 7.02/1.58 thf(zip_derived_cl315, plain, (((q28) = (queue_127))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp305])).
% 7.02/1.58 thf(zip_derived_cl760, plain,
% 7.02/1.58 (((q28) = (store @ queue_125 @ tail @ index_126))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl212, zip_derived_cl315])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl761, plain, (((select @ q28 @ tail) = (index_126))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl760, zip_derived_cl0])).
% 7.02/1.58 thf(hyp106, axiom, (( index_129 ) = ( select @ q28 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl116, plain, (((index_129) = (select @ q28 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp106])).
% 7.02/1.58 thf(zip_derived_cl763, plain, (((index_129) = (index_126))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl761, zip_derived_cl116])).
% 7.02/1.58 thf(zip_derived_cl798, plain, (((index_129) = (s @ index_123))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl763])).
% 7.02/1.58 thf(hyp103, axiom, (( index_120 ) = ( s @ index_117 ))).
% 7.02/1.58 thf(zip_derived_cl113, plain, (((index_120) = (s @ index_117))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp103])).
% 7.02/1.58 thf(hyp200, axiom,
% 7.02/1.58 (( queue_121 ) = ( store @ queue_119 @ tail @ index_120 ))).
% 7.02/1.58 thf(zip_derived_cl210, plain,
% 7.02/1.58 (((queue_121) = (store @ queue_119 @ tail @ index_120))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp200])).
% 7.02/1.58 thf(hyp304, axiom, (( q27 ) = ( queue_121 ))).
% 7.02/1.58 thf(zip_derived_cl314, plain, (((q27) = (queue_121))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp304])).
% 7.02/1.58 thf(zip_derived_cl748, plain,
% 7.02/1.58 (((q27) = (store @ queue_119 @ tail @ index_120))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl314])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl749, plain, (((select @ q27 @ tail) = (index_120))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl748, zip_derived_cl0])).
% 7.02/1.58 thf(hyp104, axiom, (( index_123 ) = ( select @ q27 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl114, plain, (((index_123) = (select @ q27 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp104])).
% 7.02/1.58 thf(zip_derived_cl751, plain, (((index_123) = (index_120))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl749, zip_derived_cl114])).
% 7.02/1.58 thf(zip_derived_cl776, plain, (((index_123) = (s @ index_117))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl751])).
% 7.02/1.58 thf(hyp100, axiom, (( index_114 ) = ( s @ index_111 ))).
% 7.02/1.58 thf(zip_derived_cl110, plain, (((index_114) = (s @ index_111))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp100])).
% 7.02/1.58 thf(hyp198, axiom,
% 7.02/1.58 (( queue_115 ) = ( store @ queue_113 @ tail @ index_114 ))).
% 7.02/1.58 thf(zip_derived_cl208, plain,
% 7.02/1.58 (((queue_115) = (store @ queue_113 @ tail @ index_114))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp198])).
% 7.02/1.58 thf(hyp303, axiom, (( q26 ) = ( queue_115 ))).
% 7.02/1.58 thf(zip_derived_cl313, plain, (((q26) = (queue_115))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp303])).
% 7.02/1.58 thf(zip_derived_cl736, plain,
% 7.02/1.58 (((q26) = (store @ queue_113 @ tail @ index_114))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl208, zip_derived_cl313])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl737, plain, (((select @ q26 @ tail) = (index_114))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl736, zip_derived_cl0])).
% 7.02/1.58 thf(hyp101, axiom, (( index_117 ) = ( select @ q26 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl111, plain, (((index_117) = (select @ q26 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp101])).
% 7.02/1.58 thf(zip_derived_cl739, plain, (((index_117) = (index_114))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl737, zip_derived_cl111])).
% 7.02/1.58 thf(zip_derived_cl752, plain, (((index_117) = (s @ index_111))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl739])).
% 7.02/1.58 thf(hyp98, axiom, (( index_108 ) = ( s @ index_105 ))).
% 7.02/1.58 thf(zip_derived_cl108, plain, (((index_108) = (s @ index_105))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp98])).
% 7.02/1.58 thf(hyp195, axiom,
% 7.02/1.58 (( queue_109 ) = ( store @ queue_107 @ tail @ index_108 ))).
% 7.02/1.58 thf(zip_derived_cl205, plain,
% 7.02/1.58 (((queue_109) = (store @ queue_107 @ tail @ index_108))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp195])).
% 7.02/1.58 thf(hyp302, axiom, (( q25 ) = ( queue_109 ))).
% 7.02/1.58 thf(zip_derived_cl312, plain, (((q25) = (queue_109))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp302])).
% 7.02/1.58 thf(zip_derived_cl728, plain,
% 7.02/1.58 (((q25) = (store @ queue_107 @ tail @ index_108))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl205, zip_derived_cl312])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl729, plain, (((select @ q25 @ tail) = (index_108))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl0])).
% 7.02/1.58 thf(hyp99, axiom, (( index_111 ) = ( select @ q25 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl109, plain, (((index_111) = (select @ q25 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp99])).
% 7.02/1.58 thf(zip_derived_cl731, plain, (((index_111) = (index_108))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl729, zip_derived_cl109])).
% 7.02/1.58 thf(zip_derived_cl742, plain, (((index_111) = (s @ index_105))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl731])).
% 7.02/1.58 thf(circular, axiom, (( s @ ( s @ ( s @ X ) ) ) = ( X ))).
% 7.02/1.58 thf(zip_derived_cl9, plain, (![X0 : $i]: ((s @ (s @ (s @ X0))) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [circular])).
% 7.02/1.58 thf(ps, axiom, (( p @ ( s @ X ) ) = ( X ))).
% 7.02/1.58 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [ps])).
% 7.02/1.58 thf(zip_derived_cl349, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 7.02/1.58 thf(zip_derived_cl1289, plain, (((p @ index_105) = (s @ index_111))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl742, zip_derived_cl349])).
% 7.02/1.58 thf(hyp96, axiom, (( index_102 ) = ( s @ index_99 ))).
% 7.02/1.58 thf(zip_derived_cl106, plain, (((index_102) = (s @ index_99))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp96])).
% 7.02/1.58 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [ps])).
% 7.02/1.58 thf(zip_derived_cl361, plain, (((p @ index_102) = (index_99))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl5])).
% 7.02/1.58 thf(hyp193, axiom,
% 7.02/1.58 (( queue_103 ) = ( store @ queue_101 @ tail @ index_102 ))).
% 7.02/1.58 thf(zip_derived_cl203, plain,
% 7.02/1.58 (((queue_103) = (store @ queue_101 @ tail @ index_102))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp193])).
% 7.02/1.58 thf(hyp301, axiom, (( q24 ) = ( queue_103 ))).
% 7.02/1.58 thf(zip_derived_cl311, plain, (((q24) = (queue_103))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp301])).
% 7.02/1.58 thf(zip_derived_cl714, plain,
% 7.02/1.58 (((q24) = (store @ queue_101 @ tail @ index_102))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl311])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl715, plain, (((select @ q24 @ tail) = (index_102))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl714, zip_derived_cl0])).
% 7.02/1.58 thf(hyp97, axiom, (( index_105 ) = ( select @ q24 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl107, plain, (((index_105) = (select @ q24 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp97])).
% 7.02/1.58 thf(zip_derived_cl717, plain, (((index_105) = (index_102))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl715, zip_derived_cl107])).
% 7.02/1.58 thf(zip_derived_cl719, plain, (((p @ index_105) = (index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl361, zip_derived_cl717])).
% 7.02/1.58 thf(zip_derived_cl1290, plain, (((index_99) = (s @ index_111))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1289, zip_derived_cl719])).
% 7.02/1.58 thf(zip_derived_cl1551, plain, (((index_117) = (index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl752, zip_derived_cl1290])).
% 7.02/1.58 thf(zip_derived_cl106, plain, (((index_102) = (s @ index_99))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp96])).
% 7.02/1.58 thf(zip_derived_cl717, plain, (((index_105) = (index_102))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl715, zip_derived_cl107])).
% 7.02/1.58 thf(zip_derived_cl718, plain, (((index_105) = (s @ index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl717])).
% 7.02/1.58 thf(zip_derived_cl1564, plain, (((index_123) = (index_105))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl776, zip_derived_cl1551, zip_derived_cl718])).
% 7.02/1.58 thf(zip_derived_cl742, plain, (((index_111) = (s @ index_105))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl731])).
% 7.02/1.58 thf(zip_derived_cl1574, plain, (((index_129) = (index_111))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl798, zip_derived_cl1564, zip_derived_cl742])).
% 7.02/1.58 thf(zip_derived_cl1290, plain, (((index_99) = (s @ index_111))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1289, zip_derived_cl719])).
% 7.02/1.58 thf(zip_derived_cl1585, plain, (((index_141) = (index_99))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl829, zip_derived_cl1574, zip_derived_cl1290])).
% 7.02/1.58 thf(zip_derived_cl718, plain, (((index_105) = (s @ index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl717])).
% 7.02/1.58 thf(zip_derived_cl1596, plain, (((index_147) = (index_105))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl874, zip_derived_cl1585, zip_derived_cl718])).
% 7.02/1.58 thf(zip_derived_cl742, plain, (((index_111) = (s @ index_105))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl731])).
% 7.02/1.58 thf(zip_derived_cl1607, plain, (((index_153) = (index_111))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl882, zip_derived_cl1596, zip_derived_cl742])).
% 7.02/1.58 thf(zip_derived_cl1290, plain, (((index_99) = (s @ index_111))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1289, zip_derived_cl719])).
% 7.02/1.58 thf(zip_derived_cl1619, plain, (((index_159) = (index_99))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl906, zip_derived_cl1607, zip_derived_cl1290])).
% 7.02/1.58 thf(zip_derived_cl718, plain, (((index_105) = (s @ index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl717])).
% 7.02/1.58 thf(zip_derived_cl1630, plain, (((index_165) = (index_105))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl930, zip_derived_cl1619, zip_derived_cl718])).
% 7.02/1.58 thf(zip_derived_cl742, plain, (((index_111) = (s @ index_105))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl731])).
% 7.02/1.58 thf(zip_derived_cl1641, plain, (((index_171) = (index_111))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl951, zip_derived_cl1630, zip_derived_cl742])).
% 7.02/1.58 thf(zip_derived_cl1290, plain, (((index_99) = (s @ index_111))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1289, zip_derived_cl719])).
% 7.02/1.58 thf(zip_derived_cl1653, plain, (((index_177) = (index_99))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl959, zip_derived_cl1641, zip_derived_cl1290])).
% 7.02/1.58 thf(zip_derived_cl718, plain, (((index_105) = (s @ index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl717])).
% 7.02/1.58 thf(zip_derived_cl1664, plain, (((index_183) = (index_105))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl983, zip_derived_cl1653, zip_derived_cl718])).
% 7.02/1.58 thf(zip_derived_cl742, plain, (((index_111) = (s @ index_105))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl731])).
% 7.02/1.58 thf(zip_derived_cl1674, plain, (((index_189) = (index_111))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1007, zip_derived_cl1664, zip_derived_cl742])).
% 7.02/1.58 thf(zip_derived_cl1290, plain, (((index_99) = (s @ index_111))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1289, zip_derived_cl719])).
% 7.02/1.58 thf(zip_derived_cl1683, plain, (((index_195) = (index_99))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1037, zip_derived_cl1674, zip_derived_cl1290])).
% 7.02/1.58 thf(zip_derived_cl718, plain, (((index_105) = (s @ index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl717])).
% 7.02/1.58 thf(zip_derived_cl1693, plain, (((index_207) = (index_105))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1061, zip_derived_cl1683, zip_derived_cl718])).
% 7.02/1.58 thf(zip_derived_cl742, plain, (((index_111) = (s @ index_105))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl731])).
% 7.02/1.58 thf(zip_derived_cl1702, plain, (((index_213) = (index_111))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1143, zip_derived_cl1693, zip_derived_cl742])).
% 7.02/1.58 thf(zip_derived_cl1290, plain, (((index_99) = (s @ index_111))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1289, zip_derived_cl719])).
% 7.02/1.58 thf(zip_derived_cl1711, plain, (((index_219) = (index_99))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1149, zip_derived_cl1702, zip_derived_cl1290])).
% 7.02/1.58 thf(zip_derived_cl718, plain, (((index_105) = (s @ index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl717])).
% 7.02/1.58 thf(zip_derived_cl1721, plain, (((index_225) = (index_105))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1155, zip_derived_cl1711, zip_derived_cl718])).
% 7.02/1.58 thf(zip_derived_cl742, plain, (((index_111) = (s @ index_105))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl731])).
% 7.02/1.58 thf(zip_derived_cl1730, plain, (((index_231) = (index_111))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1161, zip_derived_cl1721, zip_derived_cl742])).
% 7.02/1.58 thf(zip_derived_cl1290, plain, (((index_99) = (s @ index_111))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1289, zip_derived_cl719])).
% 7.02/1.58 thf(zip_derived_cl1739, plain, (((index_237) = (index_99))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1167, zip_derived_cl1730, zip_derived_cl1290])).
% 7.02/1.58 thf(zip_derived_cl718, plain, (((index_105) = (s @ index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl717])).
% 7.02/1.58 thf(zip_derived_cl1748, plain, (((index_243) = (index_105))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1172, zip_derived_cl1739, zip_derived_cl718])).
% 7.02/1.58 thf(zip_derived_cl742, plain, (((index_111) = (s @ index_105))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl731])).
% 7.02/1.58 thf(zip_derived_cl1755, plain, (((index_246) = (index_111))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl159, zip_derived_cl1748, zip_derived_cl742])).
% 7.02/1.58 thf(zip_derived_cl1762, plain,
% 7.02/1.58 (((q46) = (store @ queue_245 @ tail @ index_111))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl944, zip_derived_cl1755])).
% 7.02/1.58 thf(a2, axiom,
% 7.02/1.58 (( ( I ) = ( J ) ) |
% 7.02/1.58 ( ( select @ ( store @ A @ I @ E ) @ J ) = ( select @ A @ J ) ))).
% 7.02/1.58 thf(zip_derived_cl1, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.58 (((((X0) = (X1))) |
% 7.02/1.58 (((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))))),
% 7.02/1.58 inference('cnf', [status(esa)], [a2])).
% 7.02/1.58 thf(zip_derived_cl342, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.58 ( (((X0) = (X1)))
% 7.02/1.58 | (((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1))))),
% 7.02/1.58 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 7.02/1.58 thf(zip_derived_cl343, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.58 (((X0) = (X1))
% 7.02/1.58 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.58 inference('simplify nested equalities', [status(thm)],
% 7.02/1.58 [zip_derived_cl342])).
% 7.02/1.58 thf(zip_derived_cl2392, plain,
% 7.02/1.58 (![X0 : $i]:
% 7.02/1.58 (((tail) = (X0)) | ((select @ q46 @ X0) = (select @ queue_245 @ X0)))),
% 7.02/1.58 inference('s_sup+', [status(thm)],
% 7.02/1.58 [zip_derived_cl1762, zip_derived_cl343])).
% 7.02/1.58 thf(hyp245, axiom, (( queue_245 ) = ( store @ q45 @ seq @ earray_244 ))).
% 7.02/1.58 thf(zip_derived_cl255, plain,
% 7.02/1.58 (((queue_245) = (store @ q45 @ seq @ earray_244))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp245])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl942, plain, (((select @ queue_245 @ seq) = (earray_244))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl255, zip_derived_cl0])).
% 7.02/1.58 thf(zip_derived_cl2897, plain,
% 7.02/1.58 ((((tail) = (seq)) | ((select @ q46 @ seq) = (earray_244)))),
% 7.02/1.58 inference('s_sup+', [status(thm)],
% 7.02/1.58 [zip_derived_cl2392, zip_derived_cl942])).
% 7.02/1.58 thf(tail_distinct_from_seq, axiom, (( tail ) != ( seq ))).
% 7.02/1.58 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 7.02/1.58 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 7.02/1.58 thf(zip_derived_cl2898, plain, (((select @ q46 @ seq) = (earray_244))),
% 7.02/1.58 inference('simplify_reflect-', [status(thm)],
% 7.02/1.58 [zip_derived_cl2897, zip_derived_cl4])).
% 7.02/1.58 thf(zip_derived_cl2901, plain, (((earray_278) = (earray_244))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl2898])).
% 7.02/1.58 thf(zip_derived_cl2902, plain,
% 7.02/1.58 (((elem_280) = (select @ earray_244 @ index_279))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl2901])).
% 7.02/1.58 thf(zip_derived_cl2392, plain,
% 7.02/1.58 (![X0 : $i]:
% 7.02/1.58 (((tail) = (X0)) | ((select @ q46 @ X0) = (select @ queue_245 @ X0)))),
% 7.02/1.58 inference('s_sup+', [status(thm)],
% 7.02/1.58 [zip_derived_cl1762, zip_derived_cl343])).
% 7.02/1.58 thf(zip_derived_cl255, plain,
% 7.02/1.58 (((queue_245) = (store @ q45 @ seq @ earray_244))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp245])).
% 7.02/1.58 thf(zip_derived_cl343, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.58 (((X0) = (X1))
% 7.02/1.58 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.58 inference('simplify nested equalities', [status(thm)],
% 7.02/1.58 [zip_derived_cl342])).
% 7.02/1.58 thf(zip_derived_cl943, plain,
% 7.02/1.58 (![X0 : $i]:
% 7.02/1.58 (((seq) = (X0)) | ((select @ queue_245 @ X0) = (select @ q45 @ X0)))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl255, zip_derived_cl343])).
% 7.02/1.58 thf(zip_derived_cl2896, plain,
% 7.02/1.58 (![X0 : $i]:
% 7.02/1.58 (((tail) = (X0))
% 7.02/1.58 | ((seq) = (X0))
% 7.02/1.58 | ((select @ q46 @ X0) = (select @ q45 @ X0)))),
% 7.02/1.58 inference('s_sup+', [status(thm)],
% 7.02/1.58 [zip_derived_cl2392, zip_derived_cl943])).
% 7.02/1.58 thf(hyp161, axiom, (( index_279 ) = ( select @ q46 @ head ))).
% 7.02/1.58 thf(zip_derived_cl171, plain, (((index_279) = (select @ q46 @ head))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp161])).
% 7.02/1.58 thf(zip_derived_cl3249, plain,
% 7.02/1.58 ((((seq) = (head))
% 7.02/1.58 | ((tail) = (head))
% 7.02/1.58 | ((index_279) = (select @ q45 @ head)))),
% 7.02/1.58 inference('s_sup+', [status(thm)],
% 7.02/1.58 [zip_derived_cl2896, zip_derived_cl171])).
% 7.02/1.58 thf(head_distinct_from_tail, axiom, (( head ) != ( tail ))).
% 7.02/1.58 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.58 thf(head_distinct_from_seq, axiom, (( head ) != ( seq ))).
% 7.02/1.58 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.58 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.58 thf(zip_derived_cl3254, plain, (((index_279) = (select @ q45 @ head))),
% 7.02/1.58 inference('simplify_reflect-', [status(thm)],
% 7.02/1.58 [zip_derived_cl3249, zip_derived_cl2, zip_derived_cl3])).
% 7.02/1.58 thf(zip_derived_cl938, plain,
% 7.02/1.58 (((q45) = (store @ queue_239 @ tail @ index_240))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl254, zip_derived_cl334])).
% 7.02/1.58 thf(zip_derived_cl941, plain, (((index_243) = (index_240))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl939, zip_derived_cl158])).
% 7.02/1.58 thf(zip_derived_cl1175, plain,
% 7.02/1.58 (((q45) = (store @ queue_239 @ tail @ index_243))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl938, zip_derived_cl941])).
% 7.02/1.58 thf(zip_derived_cl1748, plain, (((index_243) = (index_105))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1172, zip_derived_cl1739, zip_derived_cl718])).
% 7.02/1.58 thf(hyp124, axiom, (( index_18 ) = ( s @ index_15 ))).
% 7.02/1.58 thf(zip_derived_cl134, plain, (((index_18) = (s @ index_15))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp124])).
% 7.02/1.58 thf(hyp225, axiom, (( queue_19 ) = ( store @ queue_17 @ tail @ index_18 ))).
% 7.02/1.58 thf(zip_derived_cl235, plain,
% 7.02/1.58 (((queue_19) = (store @ queue_17 @ tail @ index_18))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp225])).
% 7.02/1.58 thf(hyp287, axiom, (( q11 ) = ( queue_19 ))).
% 7.02/1.58 thf(zip_derived_cl297, plain, (((q11) = (queue_19))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp287])).
% 7.02/1.58 thf(zip_derived_cl858, plain,
% 7.02/1.58 (((q11) = (store @ queue_17 @ tail @ index_18))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl297])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl859, plain, (((select @ q11 @ tail) = (index_18))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl858, zip_derived_cl0])).
% 7.02/1.58 thf(hyp135, axiom, (( index_21 ) = ( select @ q11 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl145, plain, (((index_21) = (select @ q11 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp135])).
% 7.02/1.58 thf(zip_derived_cl861, plain, (((index_21) = (index_18))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl859, zip_derived_cl145])).
% 7.02/1.58 thf(zip_derived_cl1029, plain, (((index_21) = (s @ index_15))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl861])).
% 7.02/1.58 thf(zip_derived_cl349, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 7.02/1.58 thf(zip_derived_cl1412, plain, (((p @ index_15) = (s @ index_21))),
% 7.02/1.58 inference('s_sup+', [status(thm)],
% 7.02/1.58 [zip_derived_cl1029, zip_derived_cl349])).
% 7.02/1.58 thf(hyp102, axiom, (( index_12 ) = ( s @ index_9 ))).
% 7.02/1.58 thf(zip_derived_cl112, plain, (((index_12) = (s @ index_9))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp102])).
% 7.02/1.58 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [ps])).
% 7.02/1.58 thf(zip_derived_cl373, plain, (((p @ index_12) = (index_9))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl5])).
% 7.02/1.58 thf(hyp203, axiom, (( queue_13 ) = ( store @ queue_11 @ tail @ index_12 ))).
% 7.02/1.58 thf(zip_derived_cl213, plain,
% 7.02/1.58 (((queue_13) = (store @ queue_11 @ tail @ index_12))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp203])).
% 7.02/1.58 thf(hyp286, axiom, (( q10 ) = ( queue_13 ))).
% 7.02/1.58 thf(zip_derived_cl296, plain, (((q10) = (queue_13))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp286])).
% 7.02/1.58 thf(zip_derived_cl764, plain,
% 7.02/1.58 (((q10) = (store @ queue_11 @ tail @ index_12))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl296])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl765, plain, (((select @ q10 @ tail) = (index_12))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl764, zip_derived_cl0])).
% 7.02/1.58 thf(hyp113, axiom, (( index_15 ) = ( select @ q10 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl123, plain, (((index_15) = (select @ q10 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp113])).
% 7.02/1.58 thf(zip_derived_cl767, plain, (((index_15) = (index_12))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl765, zip_derived_cl123])).
% 7.02/1.58 thf(zip_derived_cl807, plain, (((p @ index_15) = (index_9))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl373, zip_derived_cl767])).
% 7.02/1.58 thf(zip_derived_cl1413, plain, (((index_9) = (s @ index_21))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1412, zip_derived_cl807])).
% 7.02/1.58 thf(hyp189, axiom, (( index_96 ) = ( s @ index_93 ))).
% 7.02/1.58 thf(zip_derived_cl199, plain, (((index_96) = (s @ index_93))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp189])).
% 7.02/1.58 thf(hyp283, axiom, (( queue_97 ) = ( store @ queue_95 @ tail @ index_96 ))).
% 7.02/1.58 thf(zip_derived_cl293, plain,
% 7.02/1.58 (((queue_97) = (store @ queue_95 @ tail @ index_96))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp283])).
% 7.02/1.58 thf(hyp300, axiom, (( q23 ) = ( queue_97 ))).
% 7.02/1.58 thf(zip_derived_cl310, plain, (((q23) = (queue_97))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp300])).
% 7.02/1.58 thf(zip_derived_cl1103, plain,
% 7.02/1.58 (((q23) = (store @ queue_95 @ tail @ index_96))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl293, zip_derived_cl310])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1104, plain, (((select @ q23 @ tail) = (index_96))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1103, zip_derived_cl0])).
% 7.02/1.58 thf(hyp190, axiom, (( index_99 ) = ( select @ q23 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl200, plain, (((index_99) = (select @ q23 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp190])).
% 7.02/1.58 thf(zip_derived_cl1106, plain, (((index_99) = (index_96))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1104, zip_derived_cl200])).
% 7.02/1.58 thf(zip_derived_cl1275, plain, (((index_99) = (s @ index_93))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl1106])).
% 7.02/1.58 thf(hyp187, axiom, (( index_90 ) = ( s @ index_87 ))).
% 7.02/1.58 thf(zip_derived_cl197, plain, (((index_90) = (s @ index_87))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp187])).
% 7.02/1.58 thf(hyp281, axiom, (( queue_91 ) = ( store @ queue_89 @ tail @ index_90 ))).
% 7.02/1.58 thf(zip_derived_cl291, plain,
% 7.02/1.58 (((queue_91) = (store @ queue_89 @ tail @ index_90))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp281])).
% 7.02/1.58 thf(hyp299, axiom, (( q22 ) = ( queue_91 ))).
% 7.02/1.58 thf(zip_derived_cl309, plain, (((q22) = (queue_91))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp299])).
% 7.02/1.58 thf(zip_derived_cl1097, plain,
% 7.02/1.58 (((q22) = (store @ queue_89 @ tail @ index_90))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl291, zip_derived_cl309])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1098, plain, (((select @ q22 @ tail) = (index_90))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1097, zip_derived_cl0])).
% 7.02/1.58 thf(hyp188, axiom, (( index_93 ) = ( select @ q22 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl198, plain, (((index_93) = (select @ q22 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp188])).
% 7.02/1.58 thf(zip_derived_cl1100, plain, (((index_93) = (index_90))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1098, zip_derived_cl198])).
% 7.02/1.58 thf(zip_derived_cl1267, plain, (((index_93) = (s @ index_87))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl1100])).
% 7.02/1.58 thf(hyp184, axiom, (( index_84 ) = ( s @ index_81 ))).
% 7.02/1.58 thf(zip_derived_cl194, plain, (((index_84) = (s @ index_81))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp184])).
% 7.02/1.58 thf(hyp279, axiom, (( queue_85 ) = ( store @ queue_83 @ tail @ index_84 ))).
% 7.02/1.58 thf(zip_derived_cl289, plain,
% 7.02/1.58 (((queue_85) = (store @ queue_83 @ tail @ index_84))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp279])).
% 7.02/1.58 thf(hyp298, axiom, (( q21 ) = ( queue_85 ))).
% 7.02/1.58 thf(zip_derived_cl308, plain, (((q21) = (queue_85))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp298])).
% 7.02/1.58 thf(zip_derived_cl1091, plain,
% 7.02/1.58 (((q21) = (store @ queue_83 @ tail @ index_84))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl308])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1092, plain, (((select @ q21 @ tail) = (index_84))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1091, zip_derived_cl0])).
% 7.02/1.58 thf(hyp185, axiom, (( index_87 ) = ( select @ q21 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl195, plain, (((index_87) = (select @ q21 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp185])).
% 7.02/1.58 thf(zip_derived_cl1094, plain, (((index_87) = (index_84))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1092, zip_derived_cl195])).
% 7.02/1.58 thf(zip_derived_cl1262, plain, (((index_87) = (s @ index_81))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl1094])).
% 7.02/1.58 thf(hyp182, axiom, (( index_78 ) = ( s @ index_75 ))).
% 7.02/1.58 thf(zip_derived_cl192, plain, (((index_78) = (s @ index_75))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp182])).
% 7.02/1.58 thf(hyp277, axiom, (( queue_79 ) = ( store @ queue_77 @ tail @ index_78 ))).
% 7.02/1.58 thf(zip_derived_cl287, plain,
% 7.02/1.58 (((queue_79) = (store @ queue_77 @ tail @ index_78))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp277])).
% 7.02/1.58 thf(hyp297, axiom, (( q20 ) = ( queue_79 ))).
% 7.02/1.58 thf(zip_derived_cl307, plain, (((q20) = (queue_79))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp297])).
% 7.02/1.58 thf(zip_derived_cl1079, plain,
% 7.02/1.58 (((q20) = (store @ queue_77 @ tail @ index_78))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl287, zip_derived_cl307])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1080, plain, (((select @ q20 @ tail) = (index_78))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1079, zip_derived_cl0])).
% 7.02/1.58 thf(hyp183, axiom, (( index_81 ) = ( select @ q20 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl193, plain, (((index_81) = (select @ q20 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp183])).
% 7.02/1.58 thf(zip_derived_cl1082, plain, (((index_81) = (index_78))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1080, zip_derived_cl193])).
% 7.02/1.58 thf(zip_derived_cl1256, plain, (((index_81) = (s @ index_75))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl1082])).
% 7.02/1.58 thf(hyp178, axiom, (( index_66 ) = ( s @ index_63 ))).
% 7.02/1.58 thf(zip_derived_cl188, plain, (((index_66) = (s @ index_63))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp178])).
% 7.02/1.58 thf(hyp272, axiom, (( queue_67 ) = ( store @ queue_65 @ tail @ index_66 ))).
% 7.02/1.58 thf(zip_derived_cl282, plain,
% 7.02/1.58 (((queue_67) = (store @ queue_65 @ tail @ index_66))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp272])).
% 7.02/1.58 thf(hyp295, axiom, (( q19 ) = ( queue_67 ))).
% 7.02/1.58 thf(zip_derived_cl305, plain, (((q19) = (queue_67))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp295])).
% 7.02/1.58 thf(zip_derived_cl1057, plain,
% 7.02/1.58 (((q19) = (store @ queue_65 @ tail @ index_66))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl282, zip_derived_cl305])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1058, plain, (((select @ q19 @ tail) = (index_66))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1057, zip_derived_cl0])).
% 7.02/1.58 thf(hyp181, axiom, (( index_75 ) = ( select @ q19 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl191, plain, (((index_75) = (select @ q19 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp181])).
% 7.02/1.58 thf(zip_derived_cl1060, plain, (((index_75) = (index_66))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1058, zip_derived_cl191])).
% 7.02/1.58 thf(zip_derived_cl1241, plain, (((index_75) = (s @ index_63))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl1060])).
% 7.02/1.58 thf(hyp176, axiom, (( index_60 ) = ( s @ index_57 ))).
% 7.02/1.58 thf(zip_derived_cl186, plain, (((index_60) = (s @ index_57))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp176])).
% 7.02/1.58 thf(hyp270, axiom, (( queue_61 ) = ( store @ queue_59 @ tail @ index_60 ))).
% 7.02/1.58 thf(zip_derived_cl280, plain,
% 7.02/1.58 (((queue_61) = (store @ queue_59 @ tail @ index_60))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp270])).
% 7.02/1.58 thf(hyp294, axiom, (( q18 ) = ( queue_61 ))).
% 7.02/1.58 thf(zip_derived_cl304, plain, (((q18) = (queue_61))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp294])).
% 7.02/1.58 thf(zip_derived_cl1051, plain,
% 7.02/1.58 (((q18) = (store @ queue_59 @ tail @ index_60))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl280, zip_derived_cl304])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1052, plain, (((select @ q18 @ tail) = (index_60))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1051, zip_derived_cl0])).
% 7.02/1.58 thf(hyp177, axiom, (( index_63 ) = ( select @ q18 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl187, plain, (((index_63) = (select @ q18 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp177])).
% 7.02/1.58 thf(zip_derived_cl1054, plain, (((index_63) = (index_60))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl187])).
% 7.02/1.58 thf(zip_derived_cl1236, plain, (((index_63) = (s @ index_57))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl1054])).
% 7.02/1.58 thf(hyp173, axiom, (( index_54 ) = ( s @ index_51 ))).
% 7.02/1.58 thf(zip_derived_cl183, plain, (((index_54) = (s @ index_51))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp173])).
% 7.02/1.58 thf(hyp268, axiom, (( queue_55 ) = ( store @ queue_53 @ tail @ index_54 ))).
% 7.02/1.58 thf(zip_derived_cl278, plain,
% 7.02/1.58 (((queue_55) = (store @ queue_53 @ tail @ index_54))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp268])).
% 7.02/1.58 thf(hyp293, axiom, (( q17 ) = ( queue_55 ))).
% 7.02/1.58 thf(zip_derived_cl303, plain, (((q17) = (queue_55))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp293])).
% 7.02/1.58 thf(zip_derived_cl1045, plain,
% 7.02/1.58 (((q17) = (store @ queue_53 @ tail @ index_54))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl303])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1046, plain, (((select @ q17 @ tail) = (index_54))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1045, zip_derived_cl0])).
% 7.02/1.58 thf(hyp174, axiom, (( index_57 ) = ( select @ q17 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl184, plain, (((index_57) = (select @ q17 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp174])).
% 7.02/1.58 thf(zip_derived_cl1048, plain, (((index_57) = (index_54))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1046, zip_derived_cl184])).
% 7.02/1.58 thf(zip_derived_cl1228, plain, (((index_57) = (s @ index_51))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl1048])).
% 7.02/1.58 thf(hyp171, axiom, (( index_48 ) = ( s @ index_45 ))).
% 7.02/1.58 thf(zip_derived_cl181, plain, (((index_48) = (s @ index_45))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp171])).
% 7.02/1.58 thf(hyp265, axiom, (( queue_49 ) = ( store @ queue_47 @ tail @ index_48 ))).
% 7.02/1.58 thf(zip_derived_cl275, plain,
% 7.02/1.58 (((queue_49) = (store @ queue_47 @ tail @ index_48))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp265])).
% 7.02/1.58 thf(hyp292, axiom, (( q16 ) = ( queue_49 ))).
% 7.02/1.58 thf(zip_derived_cl302, plain, (((q16) = (queue_49))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp292])).
% 7.02/1.58 thf(zip_derived_cl1025, plain,
% 7.02/1.58 (((q16) = (store @ queue_47 @ tail @ index_48))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl275, zip_derived_cl302])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1026, plain, (((select @ q16 @ tail) = (index_48))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1025, zip_derived_cl0])).
% 7.02/1.58 thf(hyp172, axiom, (( index_51 ) = ( select @ q16 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl182, plain, (((index_51) = (select @ q16 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp172])).
% 7.02/1.58 thf(zip_derived_cl1028, plain, (((index_51) = (index_48))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1026, zip_derived_cl182])).
% 7.02/1.58 thf(zip_derived_cl1223, plain, (((index_51) = (s @ index_45))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl1028])).
% 7.02/1.58 thf(hyp169, axiom, (( index_42 ) = ( s @ index_39 ))).
% 7.02/1.58 thf(zip_derived_cl179, plain, (((index_42) = (s @ index_39))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp169])).
% 7.02/1.58 thf(hyp263, axiom, (( queue_43 ) = ( store @ queue_41 @ tail @ index_42 ))).
% 7.02/1.58 thf(zip_derived_cl273, plain,
% 7.02/1.58 (((queue_43) = (store @ queue_41 @ tail @ index_42))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp263])).
% 7.02/1.58 thf(hyp291, axiom, (( q15 ) = ( queue_43 ))).
% 7.02/1.58 thf(zip_derived_cl301, plain, (((q15) = (queue_43))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp291])).
% 7.02/1.58 thf(zip_derived_cl1019, plain,
% 7.02/1.58 (((q15) = (store @ queue_41 @ tail @ index_42))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl301])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1020, plain, (((select @ q15 @ tail) = (index_42))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1019, zip_derived_cl0])).
% 7.02/1.58 thf(hyp170, axiom, (( index_45 ) = ( select @ q15 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl180, plain, (((index_45) = (select @ q15 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp170])).
% 7.02/1.58 thf(zip_derived_cl1022, plain, (((index_45) = (index_42))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1020, zip_derived_cl180])).
% 7.02/1.58 thf(zip_derived_cl1218, plain, (((index_45) = (s @ index_39))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl1022])).
% 7.02/1.58 thf(hyp167, axiom, (( index_36 ) = ( s @ index_33 ))).
% 7.02/1.58 thf(zip_derived_cl177, plain, (((index_36) = (s @ index_33))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp167])).
% 7.02/1.58 thf(hyp261, axiom, (( queue_37 ) = ( store @ queue_35 @ tail @ index_36 ))).
% 7.02/1.58 thf(zip_derived_cl271, plain,
% 7.02/1.58 (((queue_37) = (store @ queue_35 @ tail @ index_36))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp261])).
% 7.02/1.58 thf(hyp290, axiom, (( q14 ) = ( queue_37 ))).
% 7.02/1.58 thf(zip_derived_cl300, plain, (((q14) = (queue_37))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp290])).
% 7.02/1.58 thf(zip_derived_cl1013, plain,
% 7.02/1.58 (((q14) = (store @ queue_35 @ tail @ index_36))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl300])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1014, plain, (((select @ q14 @ tail) = (index_36))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1013, zip_derived_cl0])).
% 7.02/1.58 thf(hyp168, axiom, (( index_39 ) = ( select @ q14 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl178, plain, (((index_39) = (select @ q14 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp168])).
% 7.02/1.58 thf(zip_derived_cl1016, plain, (((index_39) = (index_36))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1014, zip_derived_cl178])).
% 7.02/1.58 thf(zip_derived_cl1212, plain, (((index_39) = (s @ index_33))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl1016])).
% 7.02/1.58 thf(hyp165, axiom, (( index_30 ) = ( s @ index_27 ))).
% 7.02/1.58 thf(zip_derived_cl175, plain, (((index_30) = (s @ index_27))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp165])).
% 7.02/1.58 thf(hyp259, axiom, (( queue_31 ) = ( store @ queue_29 @ tail @ index_30 ))).
% 7.02/1.58 thf(zip_derived_cl269, plain,
% 7.02/1.58 (((queue_31) = (store @ queue_29 @ tail @ index_30))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp259])).
% 7.02/1.58 thf(hyp289, axiom, (( q13 ) = ( queue_31 ))).
% 7.02/1.58 thf(zip_derived_cl299, plain, (((q13) = (queue_31))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp289])).
% 7.02/1.58 thf(zip_derived_cl1001, plain,
% 7.02/1.58 (((q13) = (store @ queue_29 @ tail @ index_30))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl269, zip_derived_cl299])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl1002, plain, (((select @ q13 @ tail) = (index_30))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl1001, zip_derived_cl0])).
% 7.02/1.58 thf(hyp166, axiom, (( index_33 ) = ( select @ q13 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl176, plain, (((index_33) = (select @ q13 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp166])).
% 7.02/1.58 thf(zip_derived_cl1004, plain, (((index_33) = (index_30))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1002, zip_derived_cl176])).
% 7.02/1.58 thf(zip_derived_cl1207, plain, (((index_33) = (s @ index_27))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl1004])).
% 7.02/1.58 thf(hyp146, axiom, (( index_24 ) = ( s @ index_21 ))).
% 7.02/1.58 thf(zip_derived_cl156, plain, (((index_24) = (s @ index_21))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp146])).
% 7.02/1.58 thf(hyp247, axiom, (( queue_25 ) = ( store @ queue_23 @ tail @ index_24 ))).
% 7.02/1.58 thf(zip_derived_cl257, plain,
% 7.02/1.58 (((queue_25) = (store @ queue_23 @ tail @ index_24))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp247])).
% 7.02/1.58 thf(hyp288, axiom, (( q12 ) = ( queue_25 ))).
% 7.02/1.58 thf(zip_derived_cl298, plain, (((q12) = (queue_25))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp288])).
% 7.02/1.58 thf(zip_derived_cl947, plain,
% 7.02/1.58 (((q12) = (store @ queue_23 @ tail @ index_24))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl298])).
% 7.02/1.58 thf(zip_derived_cl0, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.58 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.58 inference('cnf', [status(esa)], [a1])).
% 7.02/1.58 thf(zip_derived_cl948, plain, (((select @ q12 @ tail) = (index_24))),
% 7.02/1.58 inference('s_sup+', [status(thm)], [zip_derived_cl947, zip_derived_cl0])).
% 7.02/1.58 thf(hyp157, axiom, (( index_27 ) = ( select @ q12 @ tail ))).
% 7.02/1.58 thf(zip_derived_cl167, plain, (((index_27) = (select @ q12 @ tail))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp157])).
% 7.02/1.58 thf(zip_derived_cl950, plain, (((index_27) = (index_24))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl948, zip_derived_cl167])).
% 7.02/1.58 thf(zip_derived_cl1177, plain, (((index_27) = (s @ index_21))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl950])).
% 7.02/1.58 thf(zip_derived_cl1413, plain, (((index_9) = (s @ index_21))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1412, zip_derived_cl807])).
% 7.02/1.58 thf(zip_derived_cl1779, plain, (((index_27) = (index_9))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1177, zip_derived_cl1413])).
% 7.02/1.58 thf(zip_derived_cl112, plain, (((index_12) = (s @ index_9))),
% 7.02/1.58 inference('cnf', [status(esa)], [hyp102])).
% 7.02/1.58 thf(zip_derived_cl767, plain, (((index_15) = (index_12))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl765, zip_derived_cl123])).
% 7.02/1.58 thf(zip_derived_cl806, plain, (((index_15) = (s @ index_9))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl767])).
% 7.02/1.58 thf(zip_derived_cl1789, plain, (((index_33) = (index_15))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1207, zip_derived_cl1779, zip_derived_cl806])).
% 7.02/1.58 thf(zip_derived_cl1029, plain, (((index_21) = (s @ index_15))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl861])).
% 7.02/1.58 thf(zip_derived_cl1797, plain, (((index_39) = (index_21))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1212, zip_derived_cl1789, zip_derived_cl1029])).
% 7.02/1.58 thf(zip_derived_cl1413, plain, (((index_9) = (s @ index_21))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1412, zip_derived_cl807])).
% 7.02/1.58 thf(zip_derived_cl1804, plain, (((index_45) = (index_9))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1218, zip_derived_cl1797, zip_derived_cl1413])).
% 7.02/1.58 thf(zip_derived_cl806, plain, (((index_15) = (s @ index_9))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl767])).
% 7.02/1.58 thf(zip_derived_cl1812, plain, (((index_51) = (index_15))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1223, zip_derived_cl1804, zip_derived_cl806])).
% 7.02/1.58 thf(zip_derived_cl1029, plain, (((index_21) = (s @ index_15))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl861])).
% 7.02/1.58 thf(zip_derived_cl1820, plain, (((index_57) = (index_21))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1228, zip_derived_cl1812, zip_derived_cl1029])).
% 7.02/1.58 thf(zip_derived_cl1413, plain, (((index_9) = (s @ index_21))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1412, zip_derived_cl807])).
% 7.02/1.58 thf(zip_derived_cl1829, plain, (((index_63) = (index_9))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1236, zip_derived_cl1820, zip_derived_cl1413])).
% 7.02/1.58 thf(zip_derived_cl806, plain, (((index_15) = (s @ index_9))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl767])).
% 7.02/1.58 thf(zip_derived_cl1837, plain, (((index_75) = (index_15))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1241, zip_derived_cl1829, zip_derived_cl806])).
% 7.02/1.58 thf(zip_derived_cl1029, plain, (((index_21) = (s @ index_15))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl861])).
% 7.02/1.58 thf(zip_derived_cl1845, plain, (((index_81) = (index_21))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1256, zip_derived_cl1837, zip_derived_cl1029])).
% 7.02/1.58 thf(zip_derived_cl1413, plain, (((index_9) = (s @ index_21))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl1412, zip_derived_cl807])).
% 7.02/1.58 thf(zip_derived_cl1854, plain, (((index_87) = (index_9))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1262, zip_derived_cl1845, zip_derived_cl1413])).
% 7.02/1.58 thf(zip_derived_cl806, plain, (((index_15) = (s @ index_9))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl767])).
% 7.02/1.58 thf(zip_derived_cl1862, plain, (((index_93) = (index_15))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1267, zip_derived_cl1854, zip_derived_cl806])).
% 7.02/1.58 thf(zip_derived_cl1029, plain, (((index_21) = (s @ index_15))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl861])).
% 7.02/1.58 thf(zip_derived_cl1870, plain, (((index_99) = (index_21))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1275, zip_derived_cl1862, zip_derived_cl1029])).
% 7.02/1.58 thf(zip_derived_cl718, plain, (((index_105) = (s @ index_99))),
% 7.02/1.58 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl717])).
% 7.02/1.58 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.58 thf(zip_derived_cl1915, plain, (((index_243) = (index_9))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1748, zip_derived_cl1885])).
% 7.02/1.58 thf(zip_derived_cl2270, plain,
% 7.02/1.58 (((q45) = (store @ queue_239 @ tail @ index_9))),
% 7.02/1.58 inference('demod', [status(thm)],
% 7.02/1.58 [zip_derived_cl1175, zip_derived_cl1915])).
% 7.02/1.58 thf(zip_derived_cl343, plain,
% 7.02/1.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2272, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q45 @ X0) = (select @ queue_239 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2270, zip_derived_cl343])).
% 7.02/1.59 thf(hyp243, axiom, (( queue_239 ) = ( store @ q44 @ seq @ earray_238 ))).
% 7.02/1.59 thf(zip_derived_cl253, plain,
% 7.02/1.59 (((queue_239) = (store @ q44 @ seq @ earray_238))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp243])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl937, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_239 @ X0) = (select @ q44 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl253, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2725, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q45 @ X0) = (select @ q44 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2272, zip_derived_cl937])).
% 7.02/1.59 thf(zip_derived_cl3257, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q44 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3254, zip_derived_cl2725])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3258, plain, (((index_279) = (select @ q44 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3257, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl926, plain,
% 7.02/1.59 (((q44) = (store @ queue_233 @ tail @ index_234))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl252, zip_derived_cl333])).
% 7.02/1.59 thf(zip_derived_cl929, plain, (((index_237) = (index_234))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl927, zip_derived_cl155])).
% 7.02/1.59 thf(zip_derived_cl1170, plain,
% 7.02/1.59 (((q44) = (store @ queue_233 @ tail @ index_237))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl926, zip_derived_cl929])).
% 7.02/1.59 thf(zip_derived_cl1739, plain, (((index_237) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1167, zip_derived_cl1730, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2267, plain,
% 7.02/1.59 (((q44) = (store @ queue_233 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1170, zip_derived_cl1739])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2269, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q44 @ X0) = (select @ queue_233 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2267, zip_derived_cl343])).
% 7.02/1.59 thf(hyp241, axiom, (( queue_233 ) = ( store @ q43 @ seq @ earray_232 ))).
% 7.02/1.59 thf(zip_derived_cl251, plain,
% 7.02/1.59 (((queue_233) = (store @ q43 @ seq @ earray_232))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp241])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl925, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_233 @ X0) = (select @ q43 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2722, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q44 @ X0) = (select @ q43 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2269, zip_derived_cl925])).
% 7.02/1.59 thf(zip_derived_cl3259, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q43 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3258, zip_derived_cl2722])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3260, plain, (((index_279) = (select @ q43 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3259, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl918, plain,
% 7.02/1.59 (((q43) = (store @ queue_227 @ tail @ index_228))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl249, zip_derived_cl332])).
% 7.02/1.59 thf(zip_derived_cl921, plain, (((index_231) = (index_228))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl919, zip_derived_cl153])).
% 7.02/1.59 thf(zip_derived_cl1165, plain,
% 7.02/1.59 (((q43) = (store @ queue_227 @ tail @ index_231))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl918, zip_derived_cl921])).
% 7.02/1.59 thf(zip_derived_cl1730, plain, (((index_231) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1161, zip_derived_cl1721, zip_derived_cl742])).
% 7.02/1.59 thf(zip_derived_cl2264, plain,
% 7.02/1.59 (((q43) = (store @ queue_227 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1165, zip_derived_cl1730])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2266, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q43 @ X0) = (select @ queue_227 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2264, zip_derived_cl343])).
% 7.02/1.59 thf(hyp238, axiom, (( queue_227 ) = ( store @ q42 @ seq @ earray_226 ))).
% 7.02/1.59 thf(zip_derived_cl248, plain,
% 7.02/1.59 (((queue_227) = (store @ q42 @ seq @ earray_226))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp238])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl917, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_227 @ X0) = (select @ q42 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2715, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q43 @ X0) = (select @ q42 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2266, zip_derived_cl917])).
% 7.02/1.59 thf(zip_derived_cl3261, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q42 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3260, zip_derived_cl2715])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3262, plain, (((index_279) = (select @ q42 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3261, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl912, plain,
% 7.02/1.59 (((q42) = (store @ queue_221 @ tail @ index_222))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl331])).
% 7.02/1.59 thf(zip_derived_cl915, plain, (((index_225) = (index_222))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl913, zip_derived_cl151])).
% 7.02/1.59 thf(zip_derived_cl1159, plain,
% 7.02/1.59 (((q42) = (store @ queue_221 @ tail @ index_225))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl912, zip_derived_cl915])).
% 7.02/1.59 thf(zip_derived_cl1721, plain, (((index_225) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1155, zip_derived_cl1711, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1913, plain, (((index_225) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1721, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl2261, plain,
% 7.02/1.59 (((q42) = (store @ queue_221 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1159, zip_derived_cl1913])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2263, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q42 @ X0) = (select @ queue_221 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2261, zip_derived_cl343])).
% 7.02/1.59 thf(hyp236, axiom, (( queue_221 ) = ( store @ q41 @ seq @ earray_220 ))).
% 7.02/1.59 thf(zip_derived_cl246, plain,
% 7.02/1.59 (((queue_221) = (store @ q41 @ seq @ earray_220))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp236])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl905, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_221 @ X0) = (select @ q41 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2708, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q42 @ X0) = (select @ q41 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2263, zip_derived_cl905])).
% 7.02/1.59 thf(zip_derived_cl3263, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q41 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3262, zip_derived_cl2708])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3264, plain, (((index_279) = (select @ q41 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3263, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl900, plain,
% 7.02/1.59 (((q41) = (store @ queue_215 @ tail @ index_216))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl245, zip_derived_cl330])).
% 7.02/1.59 thf(zip_derived_cl903, plain, (((index_219) = (index_216))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl901, zip_derived_cl149])).
% 7.02/1.59 thf(zip_derived_cl1153, plain,
% 7.02/1.59 (((q41) = (store @ queue_215 @ tail @ index_219))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl900, zip_derived_cl903])).
% 7.02/1.59 thf(zip_derived_cl1711, plain, (((index_219) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1149, zip_derived_cl1702, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2256, plain,
% 7.02/1.59 (((q41) = (store @ queue_215 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1153, zip_derived_cl1711])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2258, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q41 @ X0) = (select @ queue_215 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2256, zip_derived_cl343])).
% 7.02/1.59 thf(hyp234, axiom, (( queue_215 ) = ( store @ q40 @ seq @ earray_214 ))).
% 7.02/1.59 thf(zip_derived_cl244, plain,
% 7.02/1.59 (((queue_215) = (store @ q40 @ seq @ earray_214))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp234])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl899, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_215 @ X0) = (select @ q40 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2701, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q41 @ X0) = (select @ q40 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2258, zip_derived_cl899])).
% 7.02/1.59 thf(zip_derived_cl3265, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q40 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3264, zip_derived_cl2701])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3266, plain, (((index_279) = (select @ q40 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3265, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl894, plain,
% 7.02/1.59 (((q40) = (store @ queue_209 @ tail @ index_210))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl329])).
% 7.02/1.59 thf(zip_derived_cl897, plain, (((index_213) = (index_210))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl895, zip_derived_cl147])).
% 7.02/1.59 thf(zip_derived_cl1147, plain,
% 7.02/1.59 (((q40) = (store @ queue_209 @ tail @ index_213))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl894, zip_derived_cl897])).
% 7.02/1.59 thf(zip_derived_cl1702, plain, (((index_213) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1143, zip_derived_cl1693, zip_derived_cl742])).
% 7.02/1.59 thf(zip_derived_cl2253, plain,
% 7.02/1.59 (((q40) = (store @ queue_209 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1147, zip_derived_cl1702])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2255, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q40 @ X0) = (select @ queue_209 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2253, zip_derived_cl343])).
% 7.02/1.59 thf(hyp232, axiom, (( queue_209 ) = ( store @ q39 @ seq @ earray_208 ))).
% 7.02/1.59 thf(zip_derived_cl242, plain,
% 7.02/1.59 (((queue_209) = (store @ q39 @ seq @ earray_208))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp232])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl893, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_209 @ X0) = (select @ q39 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl242, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2694, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q40 @ X0) = (select @ q39 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2255, zip_derived_cl893])).
% 7.02/1.59 thf(zip_derived_cl3267, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q39 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3266, zip_derived_cl2694])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3268, plain, (((index_279) = (select @ q39 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3267, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl870, plain,
% 7.02/1.59 (((q39) = (store @ queue_197 @ tail @ index_198))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl327])).
% 7.02/1.59 thf(zip_derived_cl873, plain, (((index_207) = (index_198))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl871, zip_derived_cl144])).
% 7.02/1.59 thf(zip_derived_cl1065, plain,
% 7.02/1.59 (((q39) = (store @ queue_197 @ tail @ index_207))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl870, zip_derived_cl873])).
% 7.02/1.59 thf(zip_derived_cl1693, plain, (((index_207) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1061, zip_derived_cl1683, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1911, plain, (((index_207) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1693, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl2247, plain,
% 7.02/1.59 (((q39) = (store @ queue_197 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1065, zip_derived_cl1911])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2249, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q39 @ X0) = (select @ queue_197 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2247, zip_derived_cl343])).
% 7.02/1.59 thf(hyp228, axiom, (( queue_197 ) = ( store @ q38 @ seq @ earray_196 ))).
% 7.02/1.59 thf(zip_derived_cl238, plain,
% 7.02/1.59 (((queue_197) = (store @ q38 @ seq @ earray_196))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp228])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl869, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_197 @ X0) = (select @ q38 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2677, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q39 @ X0) = (select @ q38 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2249, zip_derived_cl869])).
% 7.02/1.59 thf(zip_derived_cl3269, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q38 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3268, zip_derived_cl2677])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3270, plain, (((index_279) = (select @ q38 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3269, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl864, plain,
% 7.02/1.59 (((q38) = (store @ queue_191 @ tail @ index_192))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl326])).
% 7.02/1.59 thf(zip_derived_cl867, plain, (((index_195) = (index_192))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl865, zip_derived_cl140])).
% 7.02/1.59 thf(zip_derived_cl1041, plain,
% 7.02/1.59 (((q38) = (store @ queue_191 @ tail @ index_195))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl864, zip_derived_cl867])).
% 7.02/1.59 thf(zip_derived_cl1683, plain, (((index_195) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1037, zip_derived_cl1674, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2244, plain,
% 7.02/1.59 (((q38) = (store @ queue_191 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1041, zip_derived_cl1683])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2246, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q38 @ X0) = (select @ queue_191 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2244, zip_derived_cl343])).
% 7.02/1.59 thf(hyp226, axiom, (( queue_191 ) = ( store @ q37 @ seq @ earray_190 ))).
% 7.02/1.59 thf(zip_derived_cl236, plain,
% 7.02/1.59 (((queue_191) = (store @ q37 @ seq @ earray_190))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp226])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl863, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_191 @ X0) = (select @ q37 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl236, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2672, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q38 @ X0) = (select @ q37 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2246, zip_derived_cl863])).
% 7.02/1.59 thf(zip_derived_cl3271, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q37 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3270, zip_derived_cl2672])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3272, plain, (((index_279) = (select @ q37 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3271, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl849, plain,
% 7.02/1.59 (((q37) = (store @ queue_185 @ tail @ index_186))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl234, zip_derived_cl325])).
% 7.02/1.59 thf(zip_derived_cl852, plain, (((index_189) = (index_186))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl850, zip_derived_cl138])).
% 7.02/1.59 thf(zip_derived_cl1011, plain,
% 7.02/1.59 (((q37) = (store @ queue_185 @ tail @ index_189))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl849, zip_derived_cl852])).
% 7.02/1.59 thf(zip_derived_cl1674, plain, (((index_189) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1007, zip_derived_cl1664, zip_derived_cl742])).
% 7.02/1.59 thf(zip_derived_cl2236, plain,
% 7.02/1.59 (((q37) = (store @ queue_185 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1011, zip_derived_cl1674])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2238, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q37 @ X0) = (select @ queue_185 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2236, zip_derived_cl343])).
% 7.02/1.59 thf(hyp223, axiom, (( queue_185 ) = ( store @ q36 @ seq @ earray_184 ))).
% 7.02/1.59 thf(zip_derived_cl233, plain,
% 7.02/1.59 (((queue_185) = (store @ q36 @ seq @ earray_184))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp223])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl848, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_185 @ X0) = (select @ q36 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl233, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2657, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q37 @ X0) = (select @ q36 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2238, zip_derived_cl848])).
% 7.02/1.59 thf(zip_derived_cl3273, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q36 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3272, zip_derived_cl2657])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3274, plain, (((index_279) = (select @ q36 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3273, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl843, plain,
% 7.02/1.59 (((q36) = (store @ queue_179 @ tail @ index_180))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl232, zip_derived_cl324])).
% 7.02/1.59 thf(zip_derived_cl846, plain, (((index_183) = (index_180))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl844, zip_derived_cl136])).
% 7.02/1.59 thf(zip_derived_cl987, plain,
% 7.02/1.59 (((q36) = (store @ queue_179 @ tail @ index_183))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl843, zip_derived_cl846])).
% 7.02/1.59 thf(zip_derived_cl1664, plain, (((index_183) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl983, zip_derived_cl1653, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1909, plain, (((index_183) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1664, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl2233, plain,
% 7.02/1.59 (((q36) = (store @ queue_179 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl987, zip_derived_cl1909])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2235, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q36 @ X0) = (select @ queue_179 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2233, zip_derived_cl343])).
% 7.02/1.59 thf(hyp221, axiom, (( queue_179 ) = ( store @ q35 @ seq @ earray_178 ))).
% 7.02/1.59 thf(zip_derived_cl231, plain,
% 7.02/1.59 (((queue_179) = (store @ q35 @ seq @ earray_178))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp221])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl842, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_179 @ X0) = (select @ q35 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2645, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q36 @ X0) = (select @ q35 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2235, zip_derived_cl842])).
% 7.02/1.59 thf(zip_derived_cl3275, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q35 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3274, zip_derived_cl2645])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3276, plain, (((index_279) = (select @ q35 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3275, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl837, plain,
% 7.02/1.59 (((q35) = (store @ queue_173 @ tail @ index_174))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl323])).
% 7.02/1.59 thf(zip_derived_cl840, plain, (((index_177) = (index_174))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl838, zip_derived_cl133])).
% 7.02/1.59 thf(zip_derived_cl963, plain,
% 7.02/1.59 (((q35) = (store @ queue_173 @ tail @ index_177))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl837, zip_derived_cl840])).
% 7.02/1.59 thf(zip_derived_cl1653, plain, (((index_177) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl959, zip_derived_cl1641, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2230, plain,
% 7.02/1.59 (((q35) = (store @ queue_173 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl963, zip_derived_cl1653])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2232, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q35 @ X0) = (select @ queue_173 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2230, zip_derived_cl343])).
% 7.02/1.59 thf(hyp219, axiom, (( queue_173 ) = ( store @ q34 @ seq @ earray_172 ))).
% 7.02/1.59 thf(zip_derived_cl229, plain,
% 7.02/1.59 (((queue_173) = (store @ q34 @ seq @ earray_172))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp219])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl836, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_173 @ X0) = (select @ q34 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl229, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2642, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q35 @ X0) = (select @ q34 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2232, zip_derived_cl836])).
% 7.02/1.59 thf(zip_derived_cl3280, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q34 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3276, zip_derived_cl2642])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3281, plain, (((index_279) = (select @ q34 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3280, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl823, plain,
% 7.02/1.59 (((q34) = (store @ queue_167 @ tail @ index_168))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl227, zip_derived_cl322])).
% 7.02/1.59 thf(zip_derived_cl826, plain, (((index_171) = (index_168))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl824, zip_derived_cl131])).
% 7.02/1.59 thf(zip_derived_cl955, plain,
% 7.02/1.59 (((q34) = (store @ queue_167 @ tail @ index_171))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl823, zip_derived_cl826])).
% 7.02/1.59 thf(zip_derived_cl1641, plain, (((index_171) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl951, zip_derived_cl1630, zip_derived_cl742])).
% 7.02/1.59 thf(zip_derived_cl2227, plain,
% 7.02/1.59 (((q34) = (store @ queue_167 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl955, zip_derived_cl1641])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2229, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q34 @ X0) = (select @ queue_167 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2227, zip_derived_cl343])).
% 7.02/1.59 thf(hyp216, axiom, (( queue_167 ) = ( store @ q33 @ seq @ earray_166 ))).
% 7.02/1.59 thf(zip_derived_cl226, plain,
% 7.02/1.59 (((queue_167) = (store @ q33 @ seq @ earray_166))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp216])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl822, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_167 @ X0) = (select @ q33 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl226, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2634, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q34 @ X0) = (select @ q33 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2229, zip_derived_cl822])).
% 7.02/1.59 thf(zip_derived_cl3284, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q33 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3281, zip_derived_cl2634])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3285, plain, (((index_279) = (select @ q33 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3284, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl817, plain,
% 7.02/1.59 (((q33) = (store @ queue_161 @ tail @ index_162))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl225, zip_derived_cl321])).
% 7.02/1.59 thf(zip_derived_cl820, plain, (((index_165) = (index_162))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl818, zip_derived_cl129])).
% 7.02/1.59 thf(zip_derived_cl934, plain,
% 7.02/1.59 (((q33) = (store @ queue_161 @ tail @ index_165))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl817, zip_derived_cl820])).
% 7.02/1.59 thf(zip_derived_cl1630, plain, (((index_165) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl930, zip_derived_cl1619, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1907, plain, (((index_165) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1630, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl2222, plain,
% 7.02/1.59 (((q33) = (store @ queue_161 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl934, zip_derived_cl1907])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2224, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q33 @ X0) = (select @ queue_161 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2222, zip_derived_cl343])).
% 7.02/1.59 thf(hyp214, axiom, (( queue_161 ) = ( store @ q32 @ seq @ earray_160 ))).
% 7.02/1.59 thf(zip_derived_cl224, plain,
% 7.02/1.59 (((queue_161) = (store @ q32 @ seq @ earray_160))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp214])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl816, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_161 @ X0) = (select @ q32 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2626, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q33 @ X0) = (select @ q32 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2224, zip_derived_cl816])).
% 7.02/1.59 thf(zip_derived_cl3286, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q32 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3285, zip_derived_cl2626])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3287, plain, (((index_279) = (select @ q32 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3286, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl811, plain,
% 7.02/1.59 (((q32) = (store @ queue_155 @ tail @ index_156))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl223, zip_derived_cl320])).
% 7.02/1.59 thf(zip_derived_cl814, plain, (((index_159) = (index_156))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl812, zip_derived_cl127])).
% 7.02/1.59 thf(zip_derived_cl910, plain,
% 7.02/1.59 (((q32) = (store @ queue_155 @ tail @ index_159))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl814])).
% 7.02/1.59 thf(zip_derived_cl1619, plain, (((index_159) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl906, zip_derived_cl1607, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2219, plain,
% 7.02/1.59 (((q32) = (store @ queue_155 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl910, zip_derived_cl1619])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2221, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q32 @ X0) = (select @ queue_155 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2219, zip_derived_cl343])).
% 7.02/1.59 thf(hyp212, axiom, (( queue_155 ) = ( store @ q31 @ seq @ earray_154 ))).
% 7.02/1.59 thf(zip_derived_cl222, plain,
% 7.02/1.59 (((queue_155) = (store @ q31 @ seq @ earray_154))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp212])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl805, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_155 @ X0) = (select @ q31 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2618, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q32 @ X0) = (select @ q31 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2221, zip_derived_cl805])).
% 7.02/1.59 thf(zip_derived_cl3288, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q31 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3287, zip_derived_cl2618])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3289, plain, (((index_279) = (select @ q31 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3288, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl794, plain,
% 7.02/1.59 (((q31) = (store @ queue_149 @ tail @ index_150))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl319])).
% 7.02/1.59 thf(zip_derived_cl797, plain, (((index_153) = (index_150))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl795, zip_derived_cl125])).
% 7.02/1.59 thf(zip_derived_cl886, plain,
% 7.02/1.59 (((q31) = (store @ queue_149 @ tail @ index_153))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl794, zip_derived_cl797])).
% 7.02/1.59 thf(zip_derived_cl1607, plain, (((index_153) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl882, zip_derived_cl1596, zip_derived_cl742])).
% 7.02/1.59 thf(zip_derived_cl2216, plain,
% 7.02/1.59 (((q31) = (store @ queue_149 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl886, zip_derived_cl1607])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2218, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q31 @ X0) = (select @ queue_149 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2216, zip_derived_cl343])).
% 7.02/1.59 thf(hyp210, axiom, (( queue_149 ) = ( store @ q30 @ seq @ earray_148 ))).
% 7.02/1.59 thf(zip_derived_cl220, plain,
% 7.02/1.59 (((queue_149) = (store @ q30 @ seq @ earray_148))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp210])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl793, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_149 @ X0) = (select @ q30 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl220, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2610, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q31 @ X0) = (select @ q30 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2218, zip_derived_cl793])).
% 7.02/1.59 thf(zip_derived_cl3290, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q30 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3289, zip_derived_cl2610])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3291, plain, (((index_279) = (select @ q30 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3290, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl788, plain,
% 7.02/1.59 (((q30) = (store @ queue_143 @ tail @ index_144))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl219, zip_derived_cl318])).
% 7.02/1.59 thf(zip_derived_cl791, plain, (((index_147) = (index_144))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl789, zip_derived_cl122])).
% 7.02/1.59 thf(zip_derived_cl878, plain,
% 7.02/1.59 (((q30) = (store @ queue_143 @ tail @ index_147))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl788, zip_derived_cl791])).
% 7.02/1.59 thf(zip_derived_cl1596, plain, (((index_147) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl874, zip_derived_cl1585, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1905, plain, (((index_147) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1596, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl2213, plain,
% 7.02/1.59 (((q30) = (store @ queue_143 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl878, zip_derived_cl1905])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2215, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q30 @ X0) = (select @ queue_143 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2213, zip_derived_cl343])).
% 7.02/1.59 thf(hyp208, axiom, (( queue_143 ) = ( store @ q29 @ seq @ earray_142 ))).
% 7.02/1.59 thf(zip_derived_cl218, plain,
% 7.02/1.59 (((queue_143) = (store @ q29 @ seq @ earray_142))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp208])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl787, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_143 @ X0) = (select @ q29 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2602, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q30 @ X0) = (select @ q29 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2215, zip_derived_cl787])).
% 7.02/1.59 thf(zip_derived_cl3292, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q29 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3291, zip_derived_cl2602])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3293, plain, (((index_279) = (select @ q29 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3292, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl770, plain,
% 7.02/1.59 (((q29) = (store @ queue_131 @ tail @ index_132))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl215, zip_derived_cl316])).
% 7.02/1.59 thf(zip_derived_cl773, plain, (((index_141) = (index_132))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl771, zip_derived_cl120])).
% 7.02/1.59 thf(zip_derived_cl833, plain,
% 7.02/1.59 (((q29) = (store @ queue_131 @ tail @ index_141))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl770, zip_derived_cl773])).
% 7.02/1.59 thf(zip_derived_cl1585, plain, (((index_141) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl829, zip_derived_cl1574, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2205, plain,
% 7.02/1.59 (((q29) = (store @ queue_131 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl833, zip_derived_cl1585])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2207, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q29 @ X0) = (select @ queue_131 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2205, zip_derived_cl343])).
% 7.02/1.59 thf(hyp204, axiom, (( queue_131 ) = ( store @ q28 @ seq @ earray_130 ))).
% 7.02/1.59 thf(zip_derived_cl214, plain,
% 7.02/1.59 (((queue_131) = (store @ q28 @ seq @ earray_130))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp204])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl769, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_131 @ X0) = (select @ q28 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2586, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q29 @ X0) = (select @ q28 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2207, zip_derived_cl769])).
% 7.02/1.59 thf(zip_derived_cl3294, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q28 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3293, zip_derived_cl2586])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3295, plain, (((index_279) = (select @ q28 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3294, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl760, plain,
% 7.02/1.59 (((q28) = (store @ queue_125 @ tail @ index_126))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl212, zip_derived_cl315])).
% 7.02/1.59 thf(zip_derived_cl763, plain, (((index_129) = (index_126))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl761, zip_derived_cl116])).
% 7.02/1.59 thf(zip_derived_cl802, plain,
% 7.02/1.59 (((q28) = (store @ queue_125 @ tail @ index_129))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl760, zip_derived_cl763])).
% 7.02/1.59 thf(zip_derived_cl1574, plain, (((index_129) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl798, zip_derived_cl1564, zip_derived_cl742])).
% 7.02/1.59 thf(zip_derived_cl2178, plain,
% 7.02/1.59 (((q28) = (store @ queue_125 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl802, zip_derived_cl1574])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2180, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q28 @ X0) = (select @ queue_125 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2178, zip_derived_cl343])).
% 7.02/1.59 thf(hyp201, axiom, (( queue_125 ) = ( store @ q27 @ seq @ earray_124 ))).
% 7.02/1.59 thf(zip_derived_cl211, plain,
% 7.02/1.59 (((queue_125) = (store @ q27 @ seq @ earray_124))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp201])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl759, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_125 @ X0) = (select @ q27 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2570, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q28 @ X0) = (select @ q27 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2180, zip_derived_cl759])).
% 7.02/1.59 thf(zip_derived_cl3296, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q27 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3295, zip_derived_cl2570])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3297, plain, (((index_279) = (select @ q27 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3296, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl748, plain,
% 7.02/1.59 (((q27) = (store @ queue_119 @ tail @ index_120))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl314])).
% 7.02/1.59 thf(zip_derived_cl751, plain, (((index_123) = (index_120))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl749, zip_derived_cl114])).
% 7.02/1.59 thf(zip_derived_cl780, plain,
% 7.02/1.59 (((q27) = (store @ queue_119 @ tail @ index_123))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl748, zip_derived_cl751])).
% 7.02/1.59 thf(zip_derived_cl1564, plain, (((index_123) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl776, zip_derived_cl1551, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1903, plain, (((index_123) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1564, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl2157, plain,
% 7.02/1.59 (((q27) = (store @ queue_119 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl780, zip_derived_cl1903])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2159, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q27 @ X0) = (select @ queue_119 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2157, zip_derived_cl343])).
% 7.02/1.59 thf(hyp199, axiom, (( queue_119 ) = ( store @ q26 @ seq @ earray_118 ))).
% 7.02/1.59 thf(zip_derived_cl209, plain,
% 7.02/1.59 (((queue_119) = (store @ q26 @ seq @ earray_118))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp199])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl741, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_119 @ X0) = (select @ q26 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2557, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q27 @ X0) = (select @ q26 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2159, zip_derived_cl741])).
% 7.02/1.59 thf(zip_derived_cl3298, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q26 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3297, zip_derived_cl2557])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3299, plain, (((index_279) = (select @ q26 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3298, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl736, plain,
% 7.02/1.59 (((q26) = (store @ queue_113 @ tail @ index_114))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl208, zip_derived_cl313])).
% 7.02/1.59 thf(zip_derived_cl739, plain, (((index_117) = (index_114))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl737, zip_derived_cl111])).
% 7.02/1.59 thf(zip_derived_cl756, plain,
% 7.02/1.59 (((q26) = (store @ queue_113 @ tail @ index_117))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl736, zip_derived_cl739])).
% 7.02/1.59 thf(zip_derived_cl1551, plain, (((index_117) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl752, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2126, plain,
% 7.02/1.59 (((q26) = (store @ queue_113 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl756, zip_derived_cl1551])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2128, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q26 @ X0) = (select @ queue_113 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2126, zip_derived_cl343])).
% 7.02/1.59 thf(hyp197, axiom, (( queue_113 ) = ( store @ q25 @ seq @ earray_112 ))).
% 7.02/1.59 thf(zip_derived_cl207, plain,
% 7.02/1.59 (((queue_113) = (store @ q25 @ seq @ earray_112))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp197])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl735, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_113 @ X0) = (select @ q25 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2554, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q26 @ X0) = (select @ q25 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2128, zip_derived_cl735])).
% 7.02/1.59 thf(zip_derived_cl3300, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q25 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3299, zip_derived_cl2554])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3301, plain, (((index_279) = (select @ q25 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3300, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl728, plain,
% 7.02/1.59 (((q25) = (store @ queue_107 @ tail @ index_108))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl205, zip_derived_cl312])).
% 7.02/1.59 thf(zip_derived_cl731, plain, (((index_111) = (index_108))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl729, zip_derived_cl109])).
% 7.02/1.59 thf(zip_derived_cl747, plain,
% 7.02/1.59 (((q25) = (store @ queue_107 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl728, zip_derived_cl731])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2125, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q25 @ X0) = (select @ queue_107 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl747, zip_derived_cl343])).
% 7.02/1.59 thf(hyp194, axiom, (( queue_107 ) = ( store @ q24 @ seq @ earray_106 ))).
% 7.02/1.59 thf(zip_derived_cl204, plain,
% 7.02/1.59 (((queue_107) = (store @ q24 @ seq @ earray_106))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp194])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl724, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_107 @ X0) = (select @ q24 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2546, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q25 @ X0) = (select @ q24 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2125, zip_derived_cl724])).
% 7.02/1.59 thf(zip_derived_cl3302, plain,
% 7.02/1.59 ((((tail) = (head))
% 7.02/1.59 | ((seq) = (head))
% 7.02/1.59 | ((index_279) = (select @ q24 @ head)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3301, zip_derived_cl2546])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3303, plain, (((index_279) = (select @ q24 @ head))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3302, zip_derived_cl3, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl1103, plain,
% 7.02/1.59 (((q23) = (store @ queue_95 @ tail @ index_96))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl293, zip_derived_cl310])).
% 7.02/1.59 thf(zip_derived_cl1106, plain, (((index_99) = (index_96))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1104, zip_derived_cl200])).
% 7.02/1.59 thf(zip_derived_cl1278, plain,
% 7.02/1.59 (((q23) = (store @ queue_95 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1103, zip_derived_cl1106])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2335, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q23 @ X0) = (select @ queue_95 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl1278, zip_derived_cl343])).
% 7.02/1.59 thf(hyp282, axiom, (( queue_95 ) = ( store @ q22 @ seq @ earray_94 ))).
% 7.02/1.59 thf(zip_derived_cl292, plain,
% 7.02/1.59 (((queue_95) = (store @ q22 @ seq @ earray_94))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp282])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1102, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_95 @ X0) = (select @ q22 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2885, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q23 @ X0) = (select @ q22 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2335, zip_derived_cl1102])).
% 7.02/1.59 thf(zip_derived_cl714, plain,
% 7.02/1.59 (((q24) = (store @ queue_101 @ tail @ index_102))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl311])).
% 7.02/1.59 thf(zip_derived_cl717, plain, (((index_105) = (index_102))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl715, zip_derived_cl107])).
% 7.02/1.59 thf(zip_derived_cl722, plain,
% 7.02/1.59 (((q24) = (store @ queue_101 @ tail @ index_105))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl714, zip_derived_cl717])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl2037, plain,
% 7.02/1.59 (((q24) = (store @ queue_101 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl722, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2039, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q24 @ X0) = (select @ queue_101 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2037, zip_derived_cl343])).
% 7.02/1.59 thf(hyp192, axiom, (( queue_101 ) = ( store @ q23 @ seq @ earray_100 ))).
% 7.02/1.59 thf(zip_derived_cl202, plain,
% 7.02/1.59 (((queue_101) = (store @ q23 @ seq @ earray_100))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp192])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl713, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_101 @ X0) = (select @ q23 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2536, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q23 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2039, zip_derived_cl713])).
% 7.02/1.59 thf(zip_derived_cl3243, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q22 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2885, zip_derived_cl2536])).
% 7.02/1.59 thf(zip_derived_cl3246, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q22 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3243])).
% 7.02/1.59 thf(zip_derived_cl1097, plain,
% 7.02/1.59 (((q22) = (store @ queue_89 @ tail @ index_90))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl291, zip_derived_cl309])).
% 7.02/1.59 thf(zip_derived_cl1100, plain, (((index_93) = (index_90))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1098, zip_derived_cl198])).
% 7.02/1.59 thf(zip_derived_cl1270, plain,
% 7.02/1.59 (((q22) = (store @ queue_89 @ tail @ index_93))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1097, zip_derived_cl1100])).
% 7.02/1.59 thf(zip_derived_cl1862, plain, (((index_93) = (index_15))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1267, zip_derived_cl1854, zip_derived_cl806])).
% 7.02/1.59 thf(zip_derived_cl742, plain, (((index_111) = (s @ index_105))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl731])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl806, plain, (((index_15) = (s @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl767])).
% 7.02/1.59 thf(zip_derived_cl1900, plain, (((index_111) = (index_15))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl742, zip_derived_cl1885, zip_derived_cl806])).
% 7.02/1.59 thf(zip_derived_cl1933, plain, (((index_93) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1862, zip_derived_cl1900])).
% 7.02/1.59 thf(zip_derived_cl2331, plain,
% 7.02/1.59 (((q22) = (store @ queue_89 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1270, zip_derived_cl1933])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2333, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q22 @ X0) = (select @ queue_89 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2331, zip_derived_cl343])).
% 7.02/1.59 thf(hyp280, axiom, (( queue_89 ) = ( store @ q21 @ seq @ earray_88 ))).
% 7.02/1.59 thf(zip_derived_cl290, plain,
% 7.02/1.59 (((queue_89) = (store @ q21 @ seq @ earray_88))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp280])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1096, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_89 @ X0) = (select @ q21 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl290, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2875, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q22 @ X0) = (select @ q21 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2333, zip_derived_cl1096])).
% 7.02/1.59 thf(zip_derived_cl3323, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q21 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3246, zip_derived_cl2875])).
% 7.02/1.59 thf(zip_derived_cl3326, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q21 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3323])).
% 7.02/1.59 thf(zip_derived_cl1091, plain,
% 7.02/1.59 (((q21) = (store @ queue_83 @ tail @ index_84))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl308])).
% 7.02/1.59 thf(zip_derived_cl1094, plain, (((index_87) = (index_84))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1092, zip_derived_cl195])).
% 7.02/1.59 thf(zip_derived_cl1265, plain,
% 7.02/1.59 (((q21) = (store @ queue_83 @ tail @ index_87))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1091, zip_derived_cl1094])).
% 7.02/1.59 thf(zip_derived_cl1854, plain, (((index_87) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1262, zip_derived_cl1845, zip_derived_cl1413])).
% 7.02/1.59 thf(zip_derived_cl2328, plain,
% 7.02/1.59 (((q21) = (store @ queue_83 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1265, zip_derived_cl1854])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2330, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q21 @ X0) = (select @ queue_83 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2328, zip_derived_cl343])).
% 7.02/1.59 thf(hyp278, axiom, (( queue_83 ) = ( store @ q20 @ seq @ earray_82 ))).
% 7.02/1.59 thf(zip_derived_cl288, plain,
% 7.02/1.59 (((queue_83) = (store @ q20 @ seq @ earray_82))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp278])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1084, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_83 @ X0) = (select @ q20 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2871, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q21 @ X0) = (select @ q20 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2330, zip_derived_cl1084])).
% 7.02/1.59 thf(zip_derived_cl3342, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q20 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3326, zip_derived_cl2871])).
% 7.02/1.59 thf(zip_derived_cl3345, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q20 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3342])).
% 7.02/1.59 thf(zip_derived_cl1079, plain,
% 7.02/1.59 (((q20) = (store @ queue_77 @ tail @ index_78))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl287, zip_derived_cl307])).
% 7.02/1.59 thf(zip_derived_cl1082, plain, (((index_81) = (index_78))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1080, zip_derived_cl193])).
% 7.02/1.59 thf(zip_derived_cl1259, plain,
% 7.02/1.59 (((q20) = (store @ queue_77 @ tail @ index_81))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1079, zip_derived_cl1082])).
% 7.02/1.59 thf(zip_derived_cl1845, plain, (((index_81) = (index_21))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1256, zip_derived_cl1837, zip_derived_cl1029])).
% 7.02/1.59 thf(zip_derived_cl1870, plain, (((index_99) = (index_21))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1275, zip_derived_cl1862, zip_derived_cl1029])).
% 7.02/1.59 thf(zip_derived_cl1890, plain, (((index_81) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1845, zip_derived_cl1870])).
% 7.02/1.59 thf(zip_derived_cl2323, plain,
% 7.02/1.59 (((q20) = (store @ queue_77 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1259, zip_derived_cl1890])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2325, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q20 @ X0) = (select @ queue_77 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2323, zip_derived_cl343])).
% 7.02/1.59 thf(hyp276, axiom, (( queue_77 ) = ( store @ q19 @ seq @ earray_76 ))).
% 7.02/1.59 thf(zip_derived_cl286, plain,
% 7.02/1.59 (((queue_77) = (store @ q19 @ seq @ earray_76))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp276])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1078, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_77 @ X0) = (select @ q19 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl286, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2860, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q20 @ X0) = (select @ q19 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2325, zip_derived_cl1078])).
% 7.02/1.59 thf(zip_derived_cl3356, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q19 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3345, zip_derived_cl2860])).
% 7.02/1.59 thf(zip_derived_cl3359, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q19 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3356])).
% 7.02/1.59 thf(zip_derived_cl1057, plain,
% 7.02/1.59 (((q19) = (store @ queue_65 @ tail @ index_66))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl282, zip_derived_cl305])).
% 7.02/1.59 thf(zip_derived_cl1060, plain, (((index_75) = (index_66))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1058, zip_derived_cl191])).
% 7.02/1.59 thf(zip_derived_cl1244, plain,
% 7.02/1.59 (((q19) = (store @ queue_65 @ tail @ index_75))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1057, zip_derived_cl1060])).
% 7.02/1.59 thf(zip_derived_cl1837, plain, (((index_75) = (index_15))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1241, zip_derived_cl1829, zip_derived_cl806])).
% 7.02/1.59 thf(zip_derived_cl1900, plain, (((index_111) = (index_15))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl742, zip_derived_cl1885, zip_derived_cl806])).
% 7.02/1.59 thf(zip_derived_cl1931, plain, (((index_75) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1837, zip_derived_cl1900])).
% 7.02/1.59 thf(zip_derived_cl2314, plain,
% 7.02/1.59 (((q19) = (store @ queue_65 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1244, zip_derived_cl1931])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2316, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q19 @ X0) = (select @ queue_65 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2314, zip_derived_cl343])).
% 7.02/1.59 thf(hyp271, axiom, (( queue_65 ) = ( store @ q18 @ seq @ earray_64 ))).
% 7.02/1.59 thf(zip_derived_cl281, plain,
% 7.02/1.59 (((queue_65) = (store @ q18 @ seq @ earray_64))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp271])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1056, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_65 @ X0) = (select @ q18 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl281, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2834, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q19 @ X0) = (select @ q18 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2316, zip_derived_cl1056])).
% 7.02/1.59 thf(zip_derived_cl3371, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q18 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3359, zip_derived_cl2834])).
% 7.02/1.59 thf(zip_derived_cl3374, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q18 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3371])).
% 7.02/1.59 thf(zip_derived_cl1051, plain,
% 7.02/1.59 (((q18) = (store @ queue_59 @ tail @ index_60))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl280, zip_derived_cl304])).
% 7.02/1.59 thf(zip_derived_cl1054, plain, (((index_63) = (index_60))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl187])).
% 7.02/1.59 thf(zip_derived_cl1239, plain,
% 7.02/1.59 (((q18) = (store @ queue_59 @ tail @ index_63))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1051, zip_derived_cl1054])).
% 7.02/1.59 thf(zip_derived_cl1829, plain, (((index_63) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1236, zip_derived_cl1820, zip_derived_cl1413])).
% 7.02/1.59 thf(zip_derived_cl2311, plain,
% 7.02/1.59 (((q18) = (store @ queue_59 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1239, zip_derived_cl1829])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2313, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q18 @ X0) = (select @ queue_59 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2311, zip_derived_cl343])).
% 7.02/1.59 thf(hyp269, axiom, (( queue_59 ) = ( store @ q17 @ seq @ earray_58 ))).
% 7.02/1.59 thf(zip_derived_cl279, plain,
% 7.02/1.59 (((queue_59) = (store @ q17 @ seq @ earray_58))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp269])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1050, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_59 @ X0) = (select @ q17 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl279, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2825, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q18 @ X0) = (select @ q17 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2313, zip_derived_cl1050])).
% 7.02/1.59 thf(zip_derived_cl3386, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q17 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3374, zip_derived_cl2825])).
% 7.02/1.59 thf(zip_derived_cl3389, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q17 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3386])).
% 7.02/1.59 thf(zip_derived_cl1045, plain,
% 7.02/1.59 (((q17) = (store @ queue_53 @ tail @ index_54))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl303])).
% 7.02/1.59 thf(zip_derived_cl1048, plain, (((index_57) = (index_54))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1046, zip_derived_cl184])).
% 7.02/1.59 thf(zip_derived_cl1231, plain,
% 7.02/1.59 (((q17) = (store @ queue_53 @ tail @ index_57))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1045, zip_derived_cl1048])).
% 7.02/1.59 thf(zip_derived_cl1820, plain, (((index_57) = (index_21))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1228, zip_derived_cl1812, zip_derived_cl1029])).
% 7.02/1.59 thf(zip_derived_cl1870, plain, (((index_99) = (index_21))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1275, zip_derived_cl1862, zip_derived_cl1029])).
% 7.02/1.59 thf(zip_derived_cl1888, plain, (((index_57) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1820, zip_derived_cl1870])).
% 7.02/1.59 thf(zip_derived_cl2306, plain,
% 7.02/1.59 (((q17) = (store @ queue_53 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1231, zip_derived_cl1888])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2308, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q17 @ X0) = (select @ queue_53 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2306, zip_derived_cl343])).
% 7.02/1.59 thf(hyp267, axiom, (( queue_53 ) = ( store @ q16 @ seq @ earray_52 ))).
% 7.02/1.59 thf(zip_derived_cl277, plain,
% 7.02/1.59 (((queue_53) = (store @ q16 @ seq @ earray_52))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp267])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1044, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_53 @ X0) = (select @ q16 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2820, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q17 @ X0) = (select @ q16 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2308, zip_derived_cl1044])).
% 7.02/1.59 thf(zip_derived_cl3400, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q16 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3389, zip_derived_cl2820])).
% 7.02/1.59 thf(zip_derived_cl3403, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q16 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3400])).
% 7.02/1.59 thf(zip_derived_cl1025, plain,
% 7.02/1.59 (((q16) = (store @ queue_47 @ tail @ index_48))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl275, zip_derived_cl302])).
% 7.02/1.59 thf(zip_derived_cl1028, plain, (((index_51) = (index_48))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1026, zip_derived_cl182])).
% 7.02/1.59 thf(zip_derived_cl1226, plain,
% 7.02/1.59 (((q16) = (store @ queue_47 @ tail @ index_51))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1025, zip_derived_cl1028])).
% 7.02/1.59 thf(zip_derived_cl1812, plain, (((index_51) = (index_15))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1223, zip_derived_cl1804, zip_derived_cl806])).
% 7.02/1.59 thf(zip_derived_cl1900, plain, (((index_111) = (index_15))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl742, zip_derived_cl1885, zip_derived_cl806])).
% 7.02/1.59 thf(zip_derived_cl1929, plain, (((index_51) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1812, zip_derived_cl1900])).
% 7.02/1.59 thf(zip_derived_cl2303, plain,
% 7.02/1.59 (((q16) = (store @ queue_47 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1226, zip_derived_cl1929])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2305, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q16 @ X0) = (select @ queue_47 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2303, zip_derived_cl343])).
% 7.02/1.59 thf(hyp264, axiom, (( queue_47 ) = ( store @ q15 @ seq @ earray_46 ))).
% 7.02/1.59 thf(zip_derived_cl274, plain,
% 7.02/1.59 (((queue_47) = (store @ q15 @ seq @ earray_46))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp264])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1024, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_47 @ X0) = (select @ q15 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2810, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q16 @ X0) = (select @ q15 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2305, zip_derived_cl1024])).
% 7.02/1.59 thf(zip_derived_cl3417, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q15 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3403, zip_derived_cl2810])).
% 7.02/1.59 thf(zip_derived_cl3420, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q15 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3417])).
% 7.02/1.59 thf(zip_derived_cl1019, plain,
% 7.02/1.59 (((q15) = (store @ queue_41 @ tail @ index_42))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl301])).
% 7.02/1.59 thf(zip_derived_cl1022, plain, (((index_45) = (index_42))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1020, zip_derived_cl180])).
% 7.02/1.59 thf(zip_derived_cl1221, plain,
% 7.02/1.59 (((q15) = (store @ queue_41 @ tail @ index_45))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1019, zip_derived_cl1022])).
% 7.02/1.59 thf(zip_derived_cl1804, plain, (((index_45) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1218, zip_derived_cl1797, zip_derived_cl1413])).
% 7.02/1.59 thf(zip_derived_cl2300, plain,
% 7.02/1.59 (((q15) = (store @ queue_41 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1221, zip_derived_cl1804])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2302, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q15 @ X0) = (select @ queue_41 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2300, zip_derived_cl343])).
% 7.02/1.59 thf(hyp262, axiom, (( queue_41 ) = ( store @ q14 @ seq @ earray_40 ))).
% 7.02/1.59 thf(zip_derived_cl272, plain,
% 7.02/1.59 (((queue_41) = (store @ q14 @ seq @ earray_40))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp262])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1018, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_41 @ X0) = (select @ q14 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl272, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2806, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q15 @ X0) = (select @ q14 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2302, zip_derived_cl1018])).
% 7.02/1.59 thf(zip_derived_cl3425, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q14 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3420, zip_derived_cl2806])).
% 7.02/1.59 thf(zip_derived_cl3428, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q14 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3425])).
% 7.02/1.59 thf(zip_derived_cl1013, plain,
% 7.02/1.59 (((q14) = (store @ queue_35 @ tail @ index_36))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl300])).
% 7.02/1.59 thf(zip_derived_cl1016, plain, (((index_39) = (index_36))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1014, zip_derived_cl178])).
% 7.02/1.59 thf(zip_derived_cl1215, plain,
% 7.02/1.59 (((q14) = (store @ queue_35 @ tail @ index_39))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1013, zip_derived_cl1016])).
% 7.02/1.59 thf(zip_derived_cl1797, plain, (((index_39) = (index_21))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1212, zip_derived_cl1789, zip_derived_cl1029])).
% 7.02/1.59 thf(zip_derived_cl1870, plain, (((index_99) = (index_21))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1275, zip_derived_cl1862, zip_derived_cl1029])).
% 7.02/1.59 thf(zip_derived_cl1886, plain, (((index_39) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1797, zip_derived_cl1870])).
% 7.02/1.59 thf(zip_derived_cl2297, plain,
% 7.02/1.59 (((q14) = (store @ queue_35 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1215, zip_derived_cl1886])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2299, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q14 @ X0) = (select @ queue_35 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2297, zip_derived_cl343])).
% 7.02/1.59 thf(hyp260, axiom, (( queue_35 ) = ( store @ q13 @ seq @ earray_34 ))).
% 7.02/1.59 thf(zip_derived_cl270, plain,
% 7.02/1.59 (((queue_35) = (store @ q13 @ seq @ earray_34))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp260])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1006, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_35 @ X0) = (select @ q13 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2795, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q14 @ X0) = (select @ q13 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2299, zip_derived_cl1006])).
% 7.02/1.59 thf(zip_derived_cl3432, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q13 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3428, zip_derived_cl2795])).
% 7.02/1.59 thf(zip_derived_cl3435, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q13 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3432])).
% 7.02/1.59 thf(zip_derived_cl1001, plain,
% 7.02/1.59 (((q13) = (store @ queue_29 @ tail @ index_30))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl269, zip_derived_cl299])).
% 7.02/1.59 thf(zip_derived_cl1004, plain, (((index_33) = (index_30))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1002, zip_derived_cl176])).
% 7.02/1.59 thf(zip_derived_cl1210, plain,
% 7.02/1.59 (((q13) = (store @ queue_29 @ tail @ index_33))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1001, zip_derived_cl1004])).
% 7.02/1.59 thf(zip_derived_cl1789, plain, (((index_33) = (index_15))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1207, zip_derived_cl1779, zip_derived_cl806])).
% 7.02/1.59 thf(zip_derived_cl1900, plain, (((index_111) = (index_15))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl742, zip_derived_cl1885, zip_derived_cl806])).
% 7.02/1.59 thf(zip_derived_cl1927, plain, (((index_33) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1789, zip_derived_cl1900])).
% 7.02/1.59 thf(zip_derived_cl2294, plain,
% 7.02/1.59 (((q13) = (store @ queue_29 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1210, zip_derived_cl1927])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2296, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q13 @ X0) = (select @ queue_29 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2294, zip_derived_cl343])).
% 7.02/1.59 thf(hyp258, axiom, (( queue_29 ) = ( store @ q12 @ seq @ earray_28 ))).
% 7.02/1.59 thf(zip_derived_cl268, plain,
% 7.02/1.59 (((queue_29) = (store @ q12 @ seq @ earray_28))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp258])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1000, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_29 @ X0) = (select @ q12 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2792, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q13 @ X0) = (select @ q12 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2296, zip_derived_cl1000])).
% 7.02/1.59 thf(zip_derived_cl3440, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q12 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3435, zip_derived_cl2792])).
% 7.02/1.59 thf(zip_derived_cl3443, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q12 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3440])).
% 7.02/1.59 thf(zip_derived_cl947, plain,
% 7.02/1.59 (((q12) = (store @ queue_23 @ tail @ index_24))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl298])).
% 7.02/1.59 thf(zip_derived_cl950, plain, (((index_27) = (index_24))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl948, zip_derived_cl167])).
% 7.02/1.59 thf(zip_derived_cl1180, plain,
% 7.02/1.59 (((q12) = (store @ queue_23 @ tail @ index_27))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl947, zip_derived_cl950])).
% 7.02/1.59 thf(zip_derived_cl1779, plain, (((index_27) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1177, zip_derived_cl1413])).
% 7.02/1.59 thf(zip_derived_cl2273, plain,
% 7.02/1.59 (((q12) = (store @ queue_23 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1180, zip_derived_cl1779])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2275, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q12 @ X0) = (select @ queue_23 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2273, zip_derived_cl343])).
% 7.02/1.59 thf(hyp240, axiom, (( queue_23 ) = ( store @ q11 @ seq @ earray_22 ))).
% 7.02/1.59 thf(zip_derived_cl250, plain,
% 7.02/1.59 (((queue_23) = (store @ q11 @ seq @ earray_22))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp240])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl923, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_23 @ X0) = (select @ q11 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2736, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q12 @ X0) = (select @ q11 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2275, zip_derived_cl923])).
% 7.02/1.59 thf(zip_derived_cl3448, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q11 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3443, zip_derived_cl2736])).
% 7.02/1.59 thf(zip_derived_cl3451, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q11 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3448])).
% 7.02/1.59 thf(zip_derived_cl858, plain,
% 7.02/1.59 (((q11) = (store @ queue_17 @ tail @ index_18))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl297])).
% 7.02/1.59 thf(zip_derived_cl861, plain, (((index_21) = (index_18))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl859, zip_derived_cl145])).
% 7.02/1.59 thf(zip_derived_cl1034, plain,
% 7.02/1.59 (((q11) = (store @ queue_17 @ tail @ index_21))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl858, zip_derived_cl861])).
% 7.02/1.59 thf(zip_derived_cl1870, plain, (((index_99) = (index_21))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1275, zip_derived_cl1862, zip_derived_cl1029])).
% 7.02/1.59 thf(zip_derived_cl2239, plain,
% 7.02/1.59 (((q11) = (store @ queue_17 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1034, zip_derived_cl1870])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2241, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q11 @ X0) = (select @ queue_17 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2239, zip_derived_cl343])).
% 7.02/1.59 thf(hyp218, axiom, (( queue_17 ) = ( store @ q10 @ seq @ earray_16 ))).
% 7.02/1.59 thf(zip_derived_cl228, plain,
% 7.02/1.59 (((queue_17) = (store @ q10 @ seq @ earray_16))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp218])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl828, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_17 @ X0) = (select @ q10 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2661, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q11 @ X0) = (select @ q10 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2241, zip_derived_cl828])).
% 7.02/1.59 thf(zip_derived_cl3455, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q10 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3451, zip_derived_cl2661])).
% 7.02/1.59 thf(zip_derived_cl3458, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q10 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3455])).
% 7.02/1.59 thf(hyp257, axiom,
% 7.02/1.59 (( queue_277 ) = ( store @ queue_275 @ tail @ index_276 ))).
% 7.02/1.59 thf(zip_derived_cl267, plain,
% 7.02/1.59 (((queue_277) = (store @ queue_275 @ tail @ index_276))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp257])).
% 7.02/1.59 thf(hyp330, axiom, (( q9 ) = ( queue_277 ))).
% 7.02/1.59 thf(zip_derived_cl340, plain, (((q9) = (queue_277))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp330])).
% 7.02/1.59 thf(zip_derived_cl995, plain,
% 7.02/1.59 (((q9) = (store @ queue_275 @ tail @ index_276))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl267, zip_derived_cl340])).
% 7.02/1.59 thf(zip_derived_cl995, plain,
% 7.02/1.59 (((q9) = (store @ queue_275 @ tail @ index_276))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl267, zip_derived_cl340])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl996, plain, (((select @ q9 @ tail) = (index_276))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl995, zip_derived_cl0])).
% 7.02/1.59 thf(hyp186, axiom, (( index_9 ) = ( select @ q9 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl196, plain, (((index_9) = (select @ q9 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp186])).
% 7.02/1.59 thf(zip_derived_cl998, plain, (((index_9) = (index_276))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl996, zip_derived_cl196])).
% 7.02/1.59 thf(zip_derived_cl1205, plain,
% 7.02/1.59 (((q9) = (store @ queue_275 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl995, zip_derived_cl998])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2291, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q9 @ X0) = (select @ queue_275 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl1205, zip_derived_cl343])).
% 7.02/1.59 thf(hyp256, axiom, (( queue_275 ) = ( store @ q8 @ seq @ earray_274 ))).
% 7.02/1.59 thf(zip_derived_cl266, plain,
% 7.02/1.59 (((queue_275) = (store @ q8 @ seq @ earray_274))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp256])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl994, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_275 @ X0) = (select @ q8 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2775, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q9 @ X0) = (select @ q8 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2291, zip_derived_cl994])).
% 7.02/1.59 thf(zip_derived_cl764, plain,
% 7.02/1.59 (((q10) = (store @ queue_11 @ tail @ index_12))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl296])).
% 7.02/1.59 thf(zip_derived_cl767, plain, (((index_15) = (index_12))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl765, zip_derived_cl123])).
% 7.02/1.59 thf(zip_derived_cl810, plain,
% 7.02/1.59 (((q10) = (store @ queue_11 @ tail @ index_15))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl764, zip_derived_cl767])).
% 7.02/1.59 thf(zip_derived_cl1900, plain, (((index_111) = (index_15))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl742, zip_derived_cl1885, zip_derived_cl806])).
% 7.02/1.59 thf(zip_derived_cl2195, plain,
% 7.02/1.59 (((q10) = (store @ queue_11 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl810, zip_derived_cl1900])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2197, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q10 @ X0) = (select @ queue_11 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2195, zip_derived_cl343])).
% 7.02/1.59 thf(hyp196, axiom, (( queue_11 ) = ( store @ q9 @ seq @ earray_10 ))).
% 7.02/1.59 thf(zip_derived_cl206, plain,
% 7.02/1.59 (((queue_11) = (store @ q9 @ seq @ earray_10))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp196])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl733, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_11 @ X0) = (select @ q9 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl206, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2574, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q10 @ X0) = (select @ q9 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2197, zip_derived_cl733])).
% 7.02/1.59 thf(zip_derived_cl3169, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q10 @ X0) = (select @ q8 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2775, zip_derived_cl2574])).
% 7.02/1.59 thf(zip_derived_cl3172, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q10 @ X0) = (select @ q8 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3169])).
% 7.02/1.59 thf(hyp255, axiom,
% 7.02/1.59 (( queue_271 ) = ( store @ queue_269 @ tail @ index_270 ))).
% 7.02/1.59 thf(zip_derived_cl265, plain,
% 7.02/1.59 (((queue_271) = (store @ queue_269 @ tail @ index_270))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp255])).
% 7.02/1.59 thf(hyp329, axiom, (( q8 ) = ( queue_271 ))).
% 7.02/1.59 thf(zip_derived_cl339, plain, (((q8) = (queue_271))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp329])).
% 7.02/1.59 thf(zip_derived_cl989, plain,
% 7.02/1.59 (((q8) = (store @ queue_269 @ tail @ index_270))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl265, zip_derived_cl339])).
% 7.02/1.59 thf(zip_derived_cl989, plain,
% 7.02/1.59 (((q8) = (store @ queue_269 @ tail @ index_270))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl265, zip_derived_cl339])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl990, plain, (((select @ q8 @ tail) = (index_270))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl989, zip_derived_cl0])).
% 7.02/1.59 thf(hyp159, axiom, (( index_273 ) = ( select @ q8 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl169, plain, (((index_273) = (select @ q8 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp159])).
% 7.02/1.59 thf(zip_derived_cl992, plain, (((index_273) = (index_270))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl990, zip_derived_cl169])).
% 7.02/1.59 thf(zip_derived_cl1200, plain,
% 7.02/1.59 (((q8) = (store @ queue_269 @ tail @ index_273))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl989, zip_derived_cl992])).
% 7.02/1.59 thf(hyp158, axiom, (( index_270 ) = ( s @ index_267 ))).
% 7.02/1.59 thf(zip_derived_cl168, plain, (((index_270) = (s @ index_267))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp158])).
% 7.02/1.59 thf(zip_derived_cl992, plain, (((index_273) = (index_270))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl990, zip_derived_cl169])).
% 7.02/1.59 thf(zip_derived_cl1197, plain, (((index_273) = (s @ index_267))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl992])).
% 7.02/1.59 thf(hyp155, axiom, (( index_264 ) = ( s @ index_261 ))).
% 7.02/1.59 thf(zip_derived_cl165, plain, (((index_264) = (s @ index_261))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp155])).
% 7.02/1.59 thf(hyp253, axiom,
% 7.02/1.59 (( queue_265 ) = ( store @ queue_263 @ tail @ index_264 ))).
% 7.02/1.59 thf(zip_derived_cl263, plain,
% 7.02/1.59 (((queue_265) = (store @ queue_263 @ tail @ index_264))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp253])).
% 7.02/1.59 thf(hyp328, axiom, (( q7 ) = ( queue_265 ))).
% 7.02/1.59 thf(zip_derived_cl338, plain, (((q7) = (queue_265))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp328])).
% 7.02/1.59 thf(zip_derived_cl976, plain,
% 7.02/1.59 (((q7) = (store @ queue_263 @ tail @ index_264))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl263, zip_derived_cl338])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl977, plain, (((select @ q7 @ tail) = (index_264))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl976, zip_derived_cl0])).
% 7.02/1.59 thf(hyp156, axiom, (( index_267 ) = ( select @ q7 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl166, plain, (((index_267) = (select @ q7 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp156])).
% 7.02/1.59 thf(zip_derived_cl979, plain, (((index_267) = (index_264))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl977, zip_derived_cl166])).
% 7.02/1.59 thf(zip_derived_cl1192, plain, (((index_267) = (s @ index_261))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl979])).
% 7.02/1.59 thf(hyp153, axiom, (( index_258 ) = ( s @ index_255 ))).
% 7.02/1.59 thf(zip_derived_cl163, plain, (((index_258) = (s @ index_255))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp153])).
% 7.02/1.59 thf(hyp251, axiom,
% 7.02/1.59 (( queue_259 ) = ( store @ queue_257 @ tail @ index_258 ))).
% 7.02/1.59 thf(zip_derived_cl261, plain,
% 7.02/1.59 (((queue_259) = (store @ queue_257 @ tail @ index_258))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp251])).
% 7.02/1.59 thf(hyp327, axiom, (( q6 ) = ( queue_259 ))).
% 7.02/1.59 thf(zip_derived_cl337, plain, (((q6) = (queue_259))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp327])).
% 7.02/1.59 thf(zip_derived_cl970, plain,
% 7.02/1.59 (((q6) = (store @ queue_257 @ tail @ index_258))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl261, zip_derived_cl337])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl971, plain, (((select @ q6 @ tail) = (index_258))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl970, zip_derived_cl0])).
% 7.02/1.59 thf(hyp154, axiom, (( index_261 ) = ( select @ q6 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl164, plain, (((index_261) = (select @ q6 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp154])).
% 7.02/1.59 thf(zip_derived_cl973, plain, (((index_261) = (index_258))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl971, zip_derived_cl164])).
% 7.02/1.59 thf(zip_derived_cl1187, plain, (((index_261) = (s @ index_255))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl163, zip_derived_cl973])).
% 7.02/1.59 thf(hyp151, axiom, (( index_252 ) = ( s @ index_249 ))).
% 7.02/1.59 thf(zip_derived_cl161, plain, (((index_252) = (s @ index_249))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp151])).
% 7.02/1.59 thf(hyp249, axiom,
% 7.02/1.59 (( queue_253 ) = ( store @ queue_251 @ tail @ index_252 ))).
% 7.02/1.59 thf(zip_derived_cl259, plain,
% 7.02/1.59 (((queue_253) = (store @ queue_251 @ tail @ index_252))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp249])).
% 7.02/1.59 thf(hyp326, axiom, (( q5 ) = ( queue_253 ))).
% 7.02/1.59 thf(zip_derived_cl336, plain, (((q5) = (queue_253))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp326])).
% 7.02/1.59 thf(zip_derived_cl964, plain,
% 7.02/1.59 (((q5) = (store @ queue_251 @ tail @ index_252))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl336])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl965, plain, (((select @ q5 @ tail) = (index_252))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl964, zip_derived_cl0])).
% 7.02/1.59 thf(hyp152, axiom, (( index_255 ) = ( select @ q5 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl162, plain, (((index_255) = (select @ q5 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp152])).
% 7.02/1.59 thf(zip_derived_cl967, plain, (((index_255) = (index_252))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl965, zip_derived_cl162])).
% 7.02/1.59 thf(zip_derived_cl1182, plain, (((index_255) = (s @ index_249))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl161, zip_derived_cl967])).
% 7.02/1.59 thf(hyp133, axiom, (( index_204 ) = ( s @ index_201 ))).
% 7.02/1.59 thf(zip_derived_cl143, plain, (((index_204) = (s @ index_201))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp133])).
% 7.02/1.59 thf(hyp231, axiom,
% 7.02/1.59 (( queue_205 ) = ( store @ queue_203 @ tail @ index_204 ))).
% 7.02/1.59 thf(zip_derived_cl241, plain,
% 7.02/1.59 (((queue_205) = (store @ queue_203 @ tail @ index_204))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp231])).
% 7.02/1.59 thf(hyp318, axiom, (( q4 ) = ( queue_205 ))).
% 7.02/1.59 thf(zip_derived_cl328, plain, (((q4) = (queue_205))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp318])).
% 7.02/1.59 thf(zip_derived_cl888, plain,
% 7.02/1.59 (((q4) = (store @ queue_203 @ tail @ index_204))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl241, zip_derived_cl328])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl889, plain, (((select @ q4 @ tail) = (index_204))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl888, zip_derived_cl0])).
% 7.02/1.59 thf(hyp150, axiom, (( index_249 ) = ( select @ q4 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl160, plain, (((index_249) = (select @ q4 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp150])).
% 7.02/1.59 thf(zip_derived_cl891, plain, (((index_249) = (index_204))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl889, zip_derived_cl160])).
% 7.02/1.59 thf(zip_derived_cl1085, plain, (((index_249) = (s @ index_201))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl891])).
% 7.02/1.59 thf(zip_derived_cl349, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 7.02/1.59 thf(zip_derived_cl1437, plain, (((p @ index_201) = (s @ index_249))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl1085, zip_derived_cl349])).
% 7.02/1.59 thf(hyp109, axiom, (( index_138 ) = ( s @ index_135 ))).
% 7.02/1.59 thf(zip_derived_cl119, plain, (((index_138) = (s @ index_135))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp109])).
% 7.02/1.59 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [ps])).
% 7.02/1.59 thf(zip_derived_cl391, plain, (((p @ index_138) = (index_135))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl5])).
% 7.02/1.59 thf(hyp207, axiom,
% 7.02/1.59 (( queue_139 ) = ( store @ queue_137 @ tail @ index_138 ))).
% 7.02/1.59 thf(zip_derived_cl217, plain,
% 7.02/1.59 (((queue_139) = (store @ queue_137 @ tail @ index_138))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp207])).
% 7.02/1.59 thf(hyp307, axiom, (( q3 ) = ( queue_139 ))).
% 7.02/1.59 thf(zip_derived_cl317, plain, (((q3) = (queue_139))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp307])).
% 7.02/1.59 thf(zip_derived_cl782, plain,
% 7.02/1.59 (((q3) = (store @ queue_137 @ tail @ index_138))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl317])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl783, plain, (((select @ q3 @ tail) = (index_138))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl782, zip_derived_cl0])).
% 7.02/1.59 thf(hyp132, axiom, (( index_201 ) = ( select @ q3 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl142, plain, (((index_201) = (select @ q3 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp132])).
% 7.02/1.59 thf(zip_derived_cl785, plain, (((index_201) = (index_138))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl142])).
% 7.02/1.59 thf(zip_derived_cl854, plain, (((p @ index_201) = (index_135))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl391, zip_derived_cl785])).
% 7.02/1.59 thf(zip_derived_cl1438, plain, (((index_135) = (s @ index_249))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1437, zip_derived_cl854])).
% 7.02/1.59 thf(zip_derived_cl1947, plain, (((index_255) = (index_135))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1182, zip_derived_cl1438])).
% 7.02/1.59 thf(zip_derived_cl119, plain, (((index_138) = (s @ index_135))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp109])).
% 7.02/1.59 thf(zip_derived_cl785, plain, (((index_201) = (index_138))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl142])).
% 7.02/1.59 thf(zip_derived_cl853, plain, (((index_201) = (s @ index_135))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl785])).
% 7.02/1.59 thf(zip_derived_cl1959, plain, (((index_261) = (index_201))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1187, zip_derived_cl1947, zip_derived_cl853])).
% 7.02/1.59 thf(zip_derived_cl1085, plain, (((index_249) = (s @ index_201))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl891])).
% 7.02/1.59 thf(zip_derived_cl1968, plain, (((index_267) = (index_249))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1192, zip_derived_cl1959, zip_derived_cl1085])).
% 7.02/1.59 thf(zip_derived_cl1438, plain, (((index_135) = (s @ index_249))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1437, zip_derived_cl854])).
% 7.02/1.59 thf(zip_derived_cl1980, plain, (((index_273) = (index_135))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1197, zip_derived_cl1968, zip_derived_cl1438])).
% 7.02/1.59 thf(zip_derived_cl1438, plain, (((index_135) = (s @ index_249))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1437, zip_derived_cl854])).
% 7.02/1.59 thf(zip_derived_cl1085, plain, (((index_249) = (s @ index_201))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl891])).
% 7.02/1.59 thf(hyp160, axiom, (( index_276 ) = ( s @ index_273 ))).
% 7.02/1.59 thf(zip_derived_cl170, plain, (((index_276) = (s @ index_273))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp160])).
% 7.02/1.59 thf(zip_derived_cl998, plain, (((index_9) = (index_276))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl996, zip_derived_cl196])).
% 7.02/1.59 thf(zip_derived_cl1202, plain, (((index_9) = (s @ index_273))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl998])).
% 7.02/1.59 thf(zip_derived_cl1980, plain, (((index_273) = (index_135))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1197, zip_derived_cl1968, zip_derived_cl1438])).
% 7.02/1.59 thf(zip_derived_cl853, plain, (((index_201) = (s @ index_135))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl785])).
% 7.02/1.59 thf(zip_derived_cl1993, plain, (((index_9) = (index_201))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1202, zip_derived_cl1980, zip_derived_cl853])).
% 7.02/1.59 thf(zip_derived_cl1061, plain, (((index_207) = (s @ index_195))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl873])).
% 7.02/1.59 thf(zip_derived_cl349, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 7.02/1.59 thf(zip_derived_cl1429, plain, (((p @ index_195) = (s @ index_207))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl1061, zip_derived_cl349])).
% 7.02/1.59 thf(zip_derived_cl139, plain, (((index_192) = (s @ index_189))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp129])).
% 7.02/1.59 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [ps])).
% 7.02/1.59 thf(zip_derived_cl431, plain, (((p @ index_192) = (index_189))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl5])).
% 7.02/1.59 thf(zip_derived_cl867, plain, (((index_195) = (index_192))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl865, zip_derived_cl140])).
% 7.02/1.59 thf(zip_derived_cl1038, plain, (((p @ index_195) = (index_189))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl867])).
% 7.02/1.59 thf(zip_derived_cl1430, plain, (((index_189) = (s @ index_207))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1429, zip_derived_cl1038])).
% 7.02/1.59 thf(zip_derived_cl1674, plain, (((index_189) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1007, zip_derived_cl1664, zip_derived_cl742])).
% 7.02/1.59 thf(zip_derived_cl1911, plain, (((index_207) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1693, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl1942, plain, (((index_111) = (s @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1430, zip_derived_cl1674, zip_derived_cl1911])).
% 7.02/1.59 thf(zip_derived_cl2006, plain, (((index_249) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1085, zip_derived_cl1993, zip_derived_cl1942])).
% 7.02/1.59 thf(zip_derived_cl1290, plain, (((index_99) = (s @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1289, zip_derived_cl719])).
% 7.02/1.59 thf(zip_derived_cl2019, plain, (((index_135) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1438, zip_derived_cl2006, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2033, plain, (((index_273) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1980, zip_derived_cl2019])).
% 7.02/1.59 thf(zip_derived_cl2287, plain,
% 7.02/1.59 (((q8) = (store @ queue_269 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1200, zip_derived_cl2033])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2289, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q8 @ X0) = (select @ queue_269 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2287, zip_derived_cl343])).
% 7.02/1.59 thf(hyp254, axiom, (( queue_269 ) = ( store @ q7 @ seq @ earray_268 ))).
% 7.02/1.59 thf(zip_derived_cl264, plain,
% 7.02/1.59 (((queue_269) = (store @ q7 @ seq @ earray_268))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp254])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl982, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_269 @ X0) = (select @ q7 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl264, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2767, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q8 @ X0) = (select @ q7 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2289, zip_derived_cl982])).
% 7.02/1.59 thf(zip_derived_cl3309, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q10 @ X0) = (select @ q7 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3172, zip_derived_cl2767])).
% 7.02/1.59 thf(zip_derived_cl3312, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q10 @ X0) = (select @ q7 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3309])).
% 7.02/1.59 thf(zip_derived_cl976, plain,
% 7.02/1.59 (((q7) = (store @ queue_263 @ tail @ index_264))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl263, zip_derived_cl338])).
% 7.02/1.59 thf(zip_derived_cl979, plain, (((index_267) = (index_264))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl977, zip_derived_cl166])).
% 7.02/1.59 thf(zip_derived_cl1195, plain,
% 7.02/1.59 (((q7) = (store @ queue_263 @ tail @ index_267))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl976, zip_derived_cl979])).
% 7.02/1.59 thf(zip_derived_cl1968, plain, (((index_267) = (index_249))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1192, zip_derived_cl1959, zip_derived_cl1085])).
% 7.02/1.59 thf(zip_derived_cl2006, plain, (((index_249) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1085, zip_derived_cl1993, zip_derived_cl1942])).
% 7.02/1.59 thf(zip_derived_cl2020, plain, (((index_267) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1968, zip_derived_cl2006])).
% 7.02/1.59 thf(zip_derived_cl2284, plain,
% 7.02/1.59 (((q7) = (store @ queue_263 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1195, zip_derived_cl2020])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2286, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q7 @ X0) = (select @ queue_263 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2284, zip_derived_cl343])).
% 7.02/1.59 thf(hyp252, axiom, (( queue_263 ) = ( store @ q6 @ seq @ earray_262 ))).
% 7.02/1.59 thf(zip_derived_cl262, plain,
% 7.02/1.59 (((queue_263) = (store @ q6 @ seq @ earray_262))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp252])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl975, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_263 @ X0) = (select @ q6 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2757, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q7 @ X0) = (select @ q6 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2286, zip_derived_cl975])).
% 7.02/1.59 thf(zip_derived_cl3331, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q10 @ X0) = (select @ q6 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3312, zip_derived_cl2757])).
% 7.02/1.59 thf(zip_derived_cl3334, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q10 @ X0) = (select @ q6 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3331])).
% 7.02/1.59 thf(zip_derived_cl970, plain,
% 7.02/1.59 (((q6) = (store @ queue_257 @ tail @ index_258))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl261, zip_derived_cl337])).
% 7.02/1.59 thf(zip_derived_cl973, plain, (((index_261) = (index_258))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl971, zip_derived_cl164])).
% 7.02/1.59 thf(zip_derived_cl1190, plain,
% 7.02/1.59 (((q6) = (store @ queue_257 @ tail @ index_261))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl970, zip_derived_cl973])).
% 7.02/1.59 thf(zip_derived_cl1959, plain, (((index_261) = (index_201))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1187, zip_derived_cl1947, zip_derived_cl853])).
% 7.02/1.59 thf(zip_derived_cl1993, plain, (((index_9) = (index_201))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1202, zip_derived_cl1980, zip_derived_cl853])).
% 7.02/1.59 thf(zip_derived_cl2010, plain, (((index_261) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1959, zip_derived_cl1993])).
% 7.02/1.59 thf(zip_derived_cl2281, plain,
% 7.02/1.59 (((q6) = (store @ queue_257 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1190, zip_derived_cl2010])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2283, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q6 @ X0) = (select @ queue_257 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2281, zip_derived_cl343])).
% 7.02/1.59 thf(hyp250, axiom, (( queue_257 ) = ( store @ q5 @ seq @ earray_256 ))).
% 7.02/1.59 thf(zip_derived_cl260, plain,
% 7.02/1.59 (((queue_257) = (store @ q5 @ seq @ earray_256))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp250])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl969, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_257 @ X0) = (select @ q5 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2751, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q6 @ X0) = (select @ q5 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2283, zip_derived_cl969])).
% 7.02/1.59 thf(zip_derived_cl3349, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q10 @ X0) = (select @ q5 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3334, zip_derived_cl2751])).
% 7.02/1.59 thf(zip_derived_cl3352, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q10 @ X0) = (select @ q5 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3349])).
% 7.02/1.59 thf(zip_derived_cl964, plain,
% 7.02/1.59 (((q5) = (store @ queue_251 @ tail @ index_252))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl336])).
% 7.02/1.59 thf(zip_derived_cl967, plain, (((index_255) = (index_252))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl965, zip_derived_cl162])).
% 7.02/1.59 thf(zip_derived_cl1185, plain,
% 7.02/1.59 (((q5) = (store @ queue_251 @ tail @ index_255))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl964, zip_derived_cl967])).
% 7.02/1.59 thf(zip_derived_cl1947, plain, (((index_255) = (index_135))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1182, zip_derived_cl1438])).
% 7.02/1.59 thf(zip_derived_cl2019, plain, (((index_135) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1438, zip_derived_cl2006, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2031, plain, (((index_255) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1947, zip_derived_cl2019])).
% 7.02/1.59 thf(zip_derived_cl2278, plain,
% 7.02/1.59 (((q5) = (store @ queue_251 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1185, zip_derived_cl2031])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2280, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q5 @ X0) = (select @ queue_251 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2278, zip_derived_cl343])).
% 7.02/1.59 thf(hyp248, axiom, (( queue_251 ) = ( store @ q4 @ seq @ earray_250 ))).
% 7.02/1.59 thf(zip_derived_cl258, plain,
% 7.02/1.59 (((queue_251) = (store @ q4 @ seq @ earray_250))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp248])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl958, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_251 @ X0) = (select @ q4 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2740, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q5 @ X0) = (select @ q4 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2280, zip_derived_cl958])).
% 7.02/1.59 thf(zip_derived_cl3364, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q10 @ X0) = (select @ q4 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3352, zip_derived_cl2740])).
% 7.02/1.59 thf(zip_derived_cl3367, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q10 @ X0) = (select @ q4 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3364])).
% 7.02/1.59 thf(zip_derived_cl888, plain,
% 7.02/1.59 (((q4) = (store @ queue_203 @ tail @ index_204))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl241, zip_derived_cl328])).
% 7.02/1.59 thf(zip_derived_cl891, plain, (((index_249) = (index_204))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl889, zip_derived_cl160])).
% 7.02/1.59 thf(zip_derived_cl1090, plain,
% 7.02/1.59 (((q4) = (store @ queue_203 @ tail @ index_249))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl888, zip_derived_cl891])).
% 7.02/1.59 thf(zip_derived_cl2006, plain, (((index_249) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1085, zip_derived_cl1993, zip_derived_cl1942])).
% 7.02/1.59 thf(zip_derived_cl2250, plain,
% 7.02/1.59 (((q4) = (store @ queue_203 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1090, zip_derived_cl2006])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2252, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q4 @ X0) = (select @ queue_203 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2250, zip_derived_cl343])).
% 7.02/1.59 thf(hyp230, axiom, (( queue_203 ) = ( store @ q3 @ seq @ earray_202 ))).
% 7.02/1.59 thf(zip_derived_cl240, plain,
% 7.02/1.59 (((queue_203) = (store @ q3 @ seq @ earray_202))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp230])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl881, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_203 @ X0) = (select @ q3 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl240, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2686, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q4 @ X0) = (select @ q3 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2252, zip_derived_cl881])).
% 7.02/1.59 thf(zip_derived_cl3379, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q10 @ X0) = (select @ q3 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3367, zip_derived_cl2686])).
% 7.02/1.59 thf(zip_derived_cl3382, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q10 @ X0) = (select @ q3 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3379])).
% 7.02/1.59 thf(zip_derived_cl782, plain,
% 7.02/1.59 (((q3) = (store @ queue_137 @ tail @ index_138))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl317])).
% 7.02/1.59 thf(zip_derived_cl785, plain, (((index_201) = (index_138))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl142])).
% 7.02/1.59 thf(zip_derived_cl857, plain,
% 7.02/1.59 (((q3) = (store @ queue_137 @ tail @ index_201))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl782, zip_derived_cl785])).
% 7.02/1.59 thf(zip_derived_cl1993, plain, (((index_9) = (index_201))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1202, zip_derived_cl1980, zip_derived_cl853])).
% 7.02/1.59 thf(zip_derived_cl2210, plain,
% 7.02/1.59 (((q3) = (store @ queue_137 @ tail @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl857, zip_derived_cl1993])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2212, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q3 @ X0) = (select @ queue_137 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2210, zip_derived_cl343])).
% 7.02/1.59 thf(hyp206, axiom, (( queue_137 ) = ( store @ q2 @ seq @ earray_136 ))).
% 7.02/1.59 thf(zip_derived_cl216, plain,
% 7.02/1.59 (((queue_137) = (store @ q2 @ seq @ earray_136))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp206])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl775, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_137 @ X0) = (select @ q2 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2592, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q3 @ X0) = (select @ q2 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2212, zip_derived_cl775])).
% 7.02/1.59 thf(zip_derived_cl3393, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q10 @ X0) = (select @ q2 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3382, zip_derived_cl2592])).
% 7.02/1.59 thf(zip_derived_cl3396, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q10 @ X0) = (select @ q2 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3393])).
% 7.02/1.59 thf(zip_derived_cl3463, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((select @ q24 @ X0) = (select @ q2 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3458, zip_derived_cl3396])).
% 7.02/1.59 thf(zip_derived_cl3466, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q24 @ X0) = (select @ q2 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3463])).
% 7.02/1.59 thf(hyp275, axiom, (( queue_73 ) = ( store @ queue_71 @ tail @ index_72 ))).
% 7.02/1.59 thf(zip_derived_cl285, plain,
% 7.02/1.59 (((queue_73) = (store @ queue_71 @ tail @ index_72))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp275])).
% 7.02/1.59 thf(hyp296, axiom, (( q2 ) = ( queue_73 ))).
% 7.02/1.59 thf(zip_derived_cl306, plain, (((q2) = (queue_73))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp296])).
% 7.02/1.59 thf(zip_derived_cl1073, plain,
% 7.02/1.59 (((q2) = (store @ queue_71 @ tail @ index_72))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl285, zip_derived_cl306])).
% 7.02/1.59 thf(zip_derived_cl1073, plain,
% 7.02/1.59 (((q2) = (store @ queue_71 @ tail @ index_72))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl285, zip_derived_cl306])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl1074, plain, (((select @ q2 @ tail) = (index_72))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl1073, zip_derived_cl0])).
% 7.02/1.59 thf(hyp108, axiom, (( index_135 ) = ( select @ q2 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl118, plain, (((index_135) = (select @ q2 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp108])).
% 7.02/1.59 thf(zip_derived_cl1076, plain, (((index_135) = (index_72))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1074, zip_derived_cl118])).
% 7.02/1.59 thf(zip_derived_cl1254, plain,
% 7.02/1.59 (((q2) = (store @ queue_71 @ tail @ index_135))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1073, zip_derived_cl1076])).
% 7.02/1.59 thf(zip_derived_cl2019, plain, (((index_135) = (index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1438, zip_derived_cl2006, zip_derived_cl1290])).
% 7.02/1.59 thf(zip_derived_cl2320, plain,
% 7.02/1.59 (((q2) = (store @ queue_71 @ tail @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1254, zip_derived_cl2019])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2322, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q2 @ X0) = (select @ queue_71 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2320, zip_derived_cl343])).
% 7.02/1.59 thf(hyp274, axiom, (( queue_71 ) = ( store @ q1 @ seq @ earray_70 ))).
% 7.02/1.59 thf(zip_derived_cl284, plain,
% 7.02/1.59 (((queue_71) = (store @ q1 @ seq @ earray_70))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp274])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1072, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_71 @ X0) = (select @ q1 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2849, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q2 @ X0) = (select @ q1 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2322, zip_derived_cl1072])).
% 7.02/1.59 thf(hyp273, axiom, (( queue_7 ) = ( store @ queue_5 @ tail @ index_6 ))).
% 7.02/1.59 thf(zip_derived_cl283, plain,
% 7.02/1.59 (((queue_7) = (store @ queue_5 @ tail @ index_6))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp273])).
% 7.02/1.59 thf(hyp285, axiom, (( q1 ) = ( queue_7 ))).
% 7.02/1.59 thf(zip_derived_cl295, plain, (((q1) = (queue_7))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp285])).
% 7.02/1.59 thf(zip_derived_cl1067, plain, (((q1) = (store @ queue_5 @ tail @ index_6))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl295])).
% 7.02/1.59 thf(zip_derived_cl1067, plain, (((q1) = (store @ queue_5 @ tail @ index_6))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl295])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl1068, plain, (((select @ q1 @ tail) = (index_6))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl1067, zip_derived_cl0])).
% 7.02/1.59 thf(hyp179, axiom, (( index_69 ) = ( select @ q1 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl189, plain, (((index_69) = (select @ q1 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp179])).
% 7.02/1.59 thf(zip_derived_cl1070, plain, (((index_69) = (index_6))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1068, zip_derived_cl189])).
% 7.02/1.59 thf(zip_derived_cl1249, plain,
% 7.02/1.59 (((q1) = (store @ queue_5 @ tail @ index_69))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1067, zip_derived_cl1070])).
% 7.02/1.59 thf(hyp180, axiom, (( index_72 ) = ( s @ index_69 ))).
% 7.02/1.59 thf(zip_derived_cl190, plain, (((index_72) = (s @ index_69))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp180])).
% 7.02/1.59 thf(zip_derived_cl1076, plain, (((index_135) = (index_72))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1074, zip_derived_cl118])).
% 7.02/1.59 thf(zip_derived_cl1251, plain, (((index_135) = (s @ index_69))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl190, zip_derived_cl1076])).
% 7.02/1.59 thf(zip_derived_cl349, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 7.02/1.59 thf(zip_derived_cl1535, plain, (((p @ index_69) = (s @ index_135))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl1251, zip_derived_cl349])).
% 7.02/1.59 thf(zip_derived_cl853, plain, (((index_201) = (s @ index_135))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl785])).
% 7.02/1.59 thf(zip_derived_cl1536, plain, (((p @ index_69) = (index_201))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1535, zip_derived_cl853])).
% 7.02/1.59 thf(zip_derived_cl1993, plain, (((index_9) = (index_201))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1202, zip_derived_cl1980, zip_derived_cl853])).
% 7.02/1.59 thf(zip_derived_cl2058, plain, (((p @ index_69) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1536, zip_derived_cl1993])).
% 7.02/1.59 thf(sp, axiom, (( s @ ( p @ X ) ) = ( X ))).
% 7.02/1.59 thf(zip_derived_cl6, plain, (![X0 : $i]: ((s @ (p @ X0)) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [sp])).
% 7.02/1.59 thf(zip_derived_cl2060, plain, (((s @ index_9) = (index_69))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl2058, zip_derived_cl6])).
% 7.02/1.59 thf(zip_derived_cl1942, plain, (((index_111) = (s @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1430, zip_derived_cl1674, zip_derived_cl1911])).
% 7.02/1.59 thf(zip_derived_cl2063, plain, (((index_111) = (index_69))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl2060, zip_derived_cl1942])).
% 7.02/1.59 thf(zip_derived_cl2317, plain,
% 7.02/1.59 (((q1) = (store @ queue_5 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1249, zip_derived_cl2063])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl2319, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0)) | ((select @ q1 @ X0) = (select @ queue_5 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2317, zip_derived_cl343])).
% 7.02/1.59 thf(hyp266, axiom, (( queue_5 ) = ( store @ q0 @ seq @ earray_4 ))).
% 7.02/1.59 thf(zip_derived_cl276, plain, (((queue_5) = (store @ q0 @ seq @ earray_4))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp266])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl1036, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0)) | ((select @ queue_5 @ X0) = (select @ q0 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl276, zip_derived_cl343])).
% 7.02/1.59 thf(zip_derived_cl2841, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q1 @ X0) = (select @ q0 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2319, zip_derived_cl1036])).
% 7.02/1.59 thf(zip_derived_cl3219, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((seq) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0))
% 7.02/1.59 | ((select @ q2 @ X0) = (select @ q0 @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl2849, zip_derived_cl2841])).
% 7.02/1.59 thf(zip_derived_cl3222, plain,
% 7.02/1.59 (![X0 : $i]:
% 7.02/1.59 (((select @ q2 @ X0) = (select @ q0 @ X0))
% 7.02/1.59 | ((tail) = (X0))
% 7.02/1.59 | ((seq) = (X0)))),
% 7.02/1.59 inference('simplify', [status(thm)], [zip_derived_cl3219])).
% 7.02/1.59 thf(hyp191, axiom, (( queue_1 ) = ( store @ q @ head @ index_0 ))).
% 7.02/1.59 thf(zip_derived_cl201, plain, (((queue_1) = (store @ q @ head @ index_0))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp191])).
% 7.02/1.59 thf(hyp284, axiom, (( q0 ) = ( queue_1 ))).
% 7.02/1.59 thf(zip_derived_cl294, plain, (((q0) = (queue_1))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp284])).
% 7.02/1.59 thf(zip_derived_cl709, plain, (((q0) = (store @ q @ head @ index_0))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl294])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl710, plain, (((select @ q0 @ head) = (index_0))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl709, zip_derived_cl0])).
% 7.02/1.59 thf(zip_derived_cl709, plain, (((q0) = (store @ q @ head @ index_0))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl294])).
% 7.02/1.59 thf(zip_derived_cl343, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.02/1.59 (((X0) = (X1))
% 7.02/1.59 | ((select @ (store @ X2 @ X0 @ X3) @ X1) = (select @ X2 @ X1)))),
% 7.02/1.59 inference('simplify nested equalities', [status(thm)],
% 7.02/1.59 [zip_derived_cl342])).
% 7.02/1.59 thf(zip_derived_cl711, plain,
% 7.02/1.59 (![X0 : $i]: (((head) = (X0)) | ((select @ q0 @ X0) = (select @ q @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl709, zip_derived_cl343])).
% 7.02/1.59 thf(hyp95, axiom, (( index_0 ) = ( select @ q @ tail ))).
% 7.02/1.59 thf(zip_derived_cl105, plain, (((index_0) = (select @ q @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp95])).
% 7.02/1.59 thf(zip_derived_cl1972, plain,
% 7.02/1.59 ((((head) = (tail)) | ((index_0) = (select @ q0 @ tail)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl711, zip_derived_cl105])).
% 7.02/1.59 thf(hyp164, axiom, (( index_3 ) = ( select @ q0 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl174, plain, (((index_3) = (select @ q0 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp164])).
% 7.02/1.59 thf(zip_derived_cl1973, plain,
% 7.02/1.59 ((((head) = (tail)) | ((index_0) = (index_3)))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1972, zip_derived_cl174])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl1974, plain, (((index_0) = (index_3))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl1973, zip_derived_cl2])).
% 7.02/1.59 thf(zip_derived_cl1987, plain, (((select @ q0 @ head) = (index_3))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl710, zip_derived_cl1974])).
% 7.02/1.59 thf(hyp175, axiom, (( index_6 ) = ( s @ index_3 ))).
% 7.02/1.59 thf(zip_derived_cl185, plain, (((index_6) = (s @ index_3))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp175])).
% 7.02/1.59 thf(zip_derived_cl1070, plain, (((index_69) = (index_6))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1068, zip_derived_cl189])).
% 7.02/1.59 thf(zip_derived_cl1246, plain, (((index_69) = (s @ index_3))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl185, zip_derived_cl1070])).
% 7.02/1.59 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [ps])).
% 7.02/1.59 thf(zip_derived_cl1530, plain, (((p @ index_69) = (index_3))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl1246, zip_derived_cl5])).
% 7.02/1.59 thf(zip_derived_cl2058, plain, (((p @ index_69) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1536, zip_derived_cl1993])).
% 7.02/1.59 thf(zip_derived_cl2059, plain, (((index_9) = (index_3))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1530, zip_derived_cl2058])).
% 7.02/1.59 thf(zip_derived_cl2192, plain, (((select @ q0 @ head) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1987, zip_derived_cl2059])).
% 7.02/1.59 thf(zip_derived_cl3316, plain,
% 7.02/1.59 ((((seq) = (head))
% 7.02/1.59 | ((tail) = (head))
% 7.02/1.59 | ((select @ q2 @ head) = (index_9)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3222, zip_derived_cl2192])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl3319, plain, (((select @ q2 @ head) = (index_9))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3316, zip_derived_cl2, zip_derived_cl3])).
% 7.02/1.59 thf(zip_derived_cl3470, plain,
% 7.02/1.59 ((((seq) = (head))
% 7.02/1.59 | ((tail) = (head))
% 7.02/1.59 | ((select @ q24 @ head) = (index_9)))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl3466, zip_derived_cl3319])).
% 7.02/1.59 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 7.02/1.59 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 7.02/1.59 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 7.02/1.59 thf(zip_derived_cl3473, plain, (((select @ q24 @ head) = (index_9))),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3470, zip_derived_cl2, zip_derived_cl3])).
% 7.02/1.59 thf(zip_derived_cl3478, plain, (((index_279) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl3303, zip_derived_cl3473])).
% 7.02/1.59 thf(hyp54, axiom,
% 7.02/1.59 (( earray_244 ) = ( store @ earray_242 @ index_243 @ e45 ))).
% 7.02/1.59 thf(zip_derived_cl64, plain,
% 7.02/1.59 (((earray_244) = (store @ earray_242 @ index_243 @ e45))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp54])).
% 7.02/1.59 thf(zip_derived_cl1748, plain, (((index_243) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1172, zip_derived_cl1739, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1753, plain,
% 7.02/1.59 (((earray_244) = (store @ earray_242 @ index_105 @ e45))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl1748])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl2388, plain,
% 7.02/1.59 (((earray_244) = (store @ earray_242 @ index_9 @ e45))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1753, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl2389, plain, (((select @ earray_244 @ index_9) = (e45))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl2388, zip_derived_cl0])).
% 7.02/1.59 thf(zip_derived_cl3480, plain, (((elem_280) = (e45))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl2902, zip_derived_cl3478, zip_derived_cl2389])).
% 7.02/1.59 thf(goal, conjecture, (( elem_280 ) = ( elem_283 ))).
% 7.02/1.59 thf(zf_stmt_0, negated_conjecture, (( elem_280 ) != ( elem_283 )),
% 7.02/1.59 inference('cnf.neg', [status(esa)], [goal])).
% 7.02/1.59 thf(zip_derived_cl341, plain, (((elem_280) != (elem_283))),
% 7.02/1.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.02/1.59 thf(hyp94, axiom, (( elem_283 ) = ( select @ earray_278 @ index_282 ))).
% 7.02/1.59 thf(zip_derived_cl104, plain,
% 7.02/1.59 (((elem_283) = (select @ earray_278 @ index_282))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp94])).
% 7.02/1.59 thf(hyp163, axiom, (( s @ index_282 ) = ( index_281 ))).
% 7.02/1.59 thf(zip_derived_cl173, plain, (((s @ index_282) = (index_281))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp163])).
% 7.02/1.59 thf(zip_derived_cl5, plain, (![X0 : $i]: ((p @ (s @ X0)) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [ps])).
% 7.02/1.59 thf(zip_derived_cl499, plain, (((p @ index_281) = (index_282))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl5])).
% 7.02/1.59 thf(hyp162, axiom, (( index_281 ) = ( select @ q46 @ tail ))).
% 7.02/1.59 thf(zip_derived_cl172, plain, (((index_281) = (select @ q46 @ tail))),
% 7.02/1.59 inference('cnf', [status(esa)], [hyp162])).
% 7.02/1.59 thf(zip_derived_cl1762, plain,
% 7.02/1.59 (((q46) = (store @ queue_245 @ tail @ index_111))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl944, zip_derived_cl1755])).
% 7.02/1.59 thf(zip_derived_cl0, plain,
% 7.02/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.02/1.59 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 7.02/1.59 inference('cnf', [status(esa)], [a1])).
% 7.02/1.59 thf(zip_derived_cl2391, plain, (((select @ q46 @ tail) = (index_111))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl1762, zip_derived_cl0])).
% 7.02/1.59 thf(zip_derived_cl2393, plain, (((index_281) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl2391])).
% 7.02/1.59 thf(zip_derived_cl1275, plain, (((index_99) = (s @ index_93))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl1106])).
% 7.02/1.59 thf(zip_derived_cl349, plain, (![X0 : $i]: ((p @ X0) = (s @ (s @ X0)))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 7.02/1.59 thf(zip_derived_cl1549, plain, (((p @ index_93) = (s @ index_99))),
% 7.02/1.59 inference('s_sup+', [status(thm)],
% 7.02/1.59 [zip_derived_cl1275, zip_derived_cl349])).
% 7.02/1.59 thf(zip_derived_cl718, plain, (((index_105) = (s @ index_99))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl717])).
% 7.02/1.59 thf(zip_derived_cl1550, plain, (((p @ index_93) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl1549, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl1933, plain, (((index_93) = (index_111))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1862, zip_derived_cl1900])).
% 7.02/1.59 thf(zip_derived_cl1885, plain, (((index_9) = (index_105))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1413, zip_derived_cl1870, zip_derived_cl718])).
% 7.02/1.59 thf(zip_derived_cl2081, plain, (((p @ index_111) = (index_9))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl1550, zip_derived_cl1933, zip_derived_cl1885])).
% 7.02/1.59 thf(zip_derived_cl2395, plain, (((index_9) = (index_282))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl499, zip_derived_cl2393, zip_derived_cl2081])).
% 7.02/1.59 thf(zip_derived_cl2402, plain,
% 7.02/1.59 (((elem_283) = (select @ earray_278 @ index_9))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl2395])).
% 7.02/1.59 thf(zip_derived_cl2901, plain, (((earray_278) = (earray_244))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl2898])).
% 7.02/1.59 thf(zip_derived_cl2389, plain, (((select @ earray_244 @ index_9) = (e45))),
% 7.02/1.59 inference('s_sup+', [status(thm)], [zip_derived_cl2388, zip_derived_cl0])).
% 7.02/1.59 thf(zip_derived_cl2903, plain, (((elem_283) = (e45))),
% 7.02/1.59 inference('demod', [status(thm)],
% 7.02/1.59 [zip_derived_cl2402, zip_derived_cl2901, zip_derived_cl2389])).
% 7.02/1.59 thf(zip_derived_cl2904, plain, (((elem_280) != (e45))),
% 7.02/1.59 inference('demod', [status(thm)], [zip_derived_cl341, zip_derived_cl2903])).
% 7.02/1.59 thf(zip_derived_cl3481, plain, ($false),
% 7.02/1.59 inference('simplify_reflect-', [status(thm)],
% 7.02/1.59 [zip_derived_cl3480, zip_derived_cl2904])).
% 7.02/1.59
% 7.02/1.59 % SZS output end Refutation
% 7.02/1.59
% 7.02/1.59
% 7.02/1.59 % Terminating...
% 7.02/1.59 % /export/starexec/sandbox/solver/bin/fo/fo2.sh running for 38s
% 7.02/1.65 % Runner terminated.
% 7.02/1.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------