%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV569-1.030 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3RnxKE3AtH true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:01:39 PM UTC 2025
% Result : Unsatisfiable 165.81s 24.42s
% Output : Refutation 165.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV569-1.030 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3RnxKE3AtH true
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 12:49:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.68 % Total configuration time : 435
% 0.55/0.68 % Estimated wc time : 1092
% 0.55/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.58/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 0.60/0.93 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s
% 165.81/24.42 % Solved by fo/fo5.sh.
% 165.81/24.42 % done 3554 iterations in 23.487s
% 165.81/24.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 165.81/24.42 % SZS output start Refutation
% 165.81/24.42 thf(index_12_type, type, index_12: $i).
% 165.81/24.42 thf(index_162_type, type, index_162: $i).
% 165.81/24.42 thf(index_60_type, type, index_60: $i).
% 165.81/24.42 thf(queue_200_type, type, queue_200: $i).
% 165.81/24.42 thf(queue_145_type, type, queue_145: $i).
% 165.81/24.42 thf(earray_98_type, type, earray_98: $i).
% 165.81/24.42 thf(queue_28_type, type, queue_28: $i).
% 165.81/24.42 thf(index_3_type, type, index_3: $i).
% 165.81/24.42 thf(index_168_type, type, index_168: $i).
% 165.81/24.42 thf(index_171_type, type, index_171: $i).
% 165.81/24.42 thf(earray_50_type, type, earray_50: $i).
% 165.81/24.42 thf(queue_86_type, type, queue_86: $i).
% 165.81/24.42 thf(earray_89_type, type, earray_89: $i).
% 165.81/24.42 thf(earray_58_type, type, earray_58: $i).
% 165.81/24.42 thf(e23_type, type, e23: $i).
% 165.81/24.42 thf(q23_type, type, q23: $i).
% 165.81/24.42 thf(queue_38_type, type, queue_38: $i).
% 165.81/24.42 thf(index_9_type, type, index_9: $i).
% 165.81/24.42 thf(index_207_type, type, index_207: $i).
% 165.81/24.42 thf(q7_type, type, q7: $i).
% 165.81/24.42 thf(index_213_type, type, index_213: $i).
% 165.81/24.42 thf(queue_11_type, type, queue_11: $i).
% 165.81/24.42 thf(e18_type, type, e18: $i).
% 165.81/24.42 thf(index_105_type, type, index_105: $i).
% 165.81/24.42 thf(index_126_type, type, index_126: $i).
% 165.81/24.42 thf(q26_type, type, q26: $i).
% 165.81/24.42 thf(earray_22_type, type, earray_22: $i).
% 165.81/24.42 thf(e16_type, type, e16: $i).
% 165.81/24.42 thf(earray_199_type, type, earray_199: $i).
% 165.81/24.42 thf(index_54_type, type, index_54: $i).
% 165.81/24.42 thf(index_167_type, type, index_167: $i).
% 165.81/24.42 thf(queue_109_type, type, queue_109: $i).
% 165.81/24.42 thf(queue_113_type, type, queue_113: $i).
% 165.81/24.42 thf(queue_196_type, type, queue_196: $i).
% 165.81/24.42 thf(index_72_type, type, index_72: $i).
% 165.81/24.42 thf(index_68_type, type, index_68: $i).
% 165.81/24.42 thf(index_75_type, type, index_75: $i).
% 165.81/24.42 thf(earray_142_type, type, earray_142: $i).
% 165.81/24.42 thf(index_129_type, type, index_129: $i).
% 165.81/24.42 thf(queue_187_type, type, queue_187: $i).
% 165.81/24.42 thf(q10_type, type, q10: $i).
% 165.81/24.42 thf(index_66_type, type, index_66: $i).
% 165.81/24.42 thf(earray_205_type, type, earray_205: $i).
% 165.81/24.42 thf(q4_type, type, q4: $i).
% 165.81/24.42 thf(queue_59_type, type, queue_59: $i).
% 165.81/24.42 thf(index_111_type, type, index_111: $i).
% 165.81/24.42 thf(index_57_type, type, index_57: $i).
% 165.81/24.42 thf(store_type, type, store: $i > $i > $i > $i).
% 165.81/24.42 thf(queue_1_type, type, queue_1: $i).
% 165.81/24.42 thf(queue_74_type, type, queue_74: $i).
% 165.81/24.42 thf(earray_79_type, type, earray_79: $i).
% 165.81/24.42 thf(queue_107_type, type, queue_107: $i).
% 165.81/24.42 thf(e22_type, type, e22: $i).
% 165.81/24.42 thf(queue_97_type, type, queue_97: $i).
% 165.81/24.42 thf(queue_134_type, type, queue_134: $i).
% 165.81/24.42 thf(queue_169_type, type, queue_169: $i).
% 165.81/24.42 thf(q1_type, type, q1: $i).
% 165.81/24.42 thf(queue_5_type, type, queue_5: $i).
% 165.81/24.42 thf(earray_172_type, type, earray_172: $i).
% 165.81/24.42 thf(index_114_type, type, index_114: $i).
% 165.81/24.42 thf(earray_163_type, type, earray_163: $i).
% 165.81/24.42 thf(earray_212_type, type, earray_212: $i).
% 165.81/24.42 thf(earray_4_type, type, earray_4: $i).
% 165.81/24.42 thf(index_186_type, type, index_186: $i).
% 165.81/24.42 thf(head_type, type, head: $i).
% 165.81/24.42 thf(queue_173_type, type, queue_173: $i).
% 165.81/24.42 thf(earray_43_type, type, earray_43: $i).
% 165.81/24.42 thf(queue_44_type, type, queue_44: $i).
% 165.81/24.42 thf(q0_type, type, q0: $i).
% 165.81/24.42 thf(queue_7_type, type, queue_7: $i).
% 165.81/24.42 thf(queue_115_type, type, queue_115: $i).
% 165.81/24.42 thf(earray_121_type, type, earray_121: $i).
% 165.81/24.42 thf(q9_type, type, q9: $i).
% 165.81/24.42 thf(earray_37_type, type, earray_37: $i).
% 165.81/24.42 thf(earray_91_type, type, earray_91: $i).
% 165.81/24.42 thf(index_132_type, type, index_132: $i).
% 165.81/24.42 thf(queue_118_type, type, queue_118: $i).
% 165.81/24.42 thf(queue_19_type, type, queue_19: $i).
% 165.81/24.42 thf(queue_136_type, type, queue_136: $i).
% 165.81/24.42 thf(index_141_type, type, index_141: $i).
% 165.81/24.42 thf(queue_46_type, type, queue_46: $i).
% 165.81/24.42 thf(q25_type, type, q25: $i).
% 165.81/24.42 thf(earray_106_type, type, earray_106: $i).
% 165.81/24.42 thf(q5_type, type, q5: $i).
% 165.81/24.42 thf(queue_151_type, type, queue_151: $i).
% 165.81/24.42 thf(index_102_type, type, index_102: $i).
% 165.81/24.42 thf(earray_64_type, type, earray_64: $i).
% 165.81/24.42 thf(queue_88_type, type, queue_88: $i).
% 165.81/24.42 thf(earray_110_type, type, earray_110: $i).
% 165.81/24.42 thf(earray_56_type, type, earray_56: $i).
% 165.81/24.42 thf(e15_type, type, e15: $i).
% 165.81/24.42 thf(earray_127_type, type, earray_127: $i).
% 165.81/24.42 thf(earray_10_type, type, earray_10: $i).
% 165.81/24.42 thf(index_192_type, type, index_192: $i).
% 165.81/24.42 thf(e25_type, type, e25: $i).
% 165.81/24.42 thf(queue_166_type, type, queue_166: $i).
% 165.81/24.42 thf(q14_type, type, q14: $i).
% 165.81/24.42 thf(queue_211_type, type, queue_211: $i).
% 165.81/24.42 thf(e28_type, type, e28: $i).
% 165.81/24.42 thf(e26_type, type, e26: $i).
% 165.81/24.42 thf(queue_53_type, type, queue_53: $i).
% 165.81/24.42 thf(index_135_type, type, index_135: $i).
% 165.81/24.42 thf(earray_125_type, type, earray_125: $i).
% 165.81/24.42 thf(index_144_type, type, index_144: $i).
% 165.81/24.42 thf(index_18_type, type, index_18: $i).
% 165.81/24.42 thf(queue_101_type, type, queue_101: $i).
% 165.81/24.42 thf(earray_16_type, type, earray_16: $i).
% 165.81/24.42 thf(queue_65_type, type, queue_65: $i).
% 165.81/24.42 thf(index_42_type, type, index_42: $i).
% 165.81/24.42 thf(index_36_type, type, index_36: $i).
% 165.81/24.42 thf(index_51_type, type, index_51: $i).
% 165.81/24.42 thf(index_27_type, type, index_27: $i).
% 165.81/24.42 thf(queue_157_type, type, queue_157: $i).
% 165.81/24.42 thf(index_30_type, type, index_30: $i).
% 165.81/24.42 thf(q20_type, type, q20: $i).
% 165.81/24.42 thf(e27_type, type, e27: $i).
% 165.81/24.42 thf(index_120_type, type, index_120: $i).
% 165.81/24.42 thf(earray_14_type, type, earray_14: $i).
% 165.81/24.42 thf(queue_70_type, type, queue_70: $i).
% 165.81/24.42 thf(queue_181_type, type, queue_181: $i).
% 165.81/24.42 thf(e20_type, type, e20: $i).
% 165.81/24.42 thf(earray_62_type, type, earray_62: $i).
% 165.81/24.42 thf(earray_20_type, type, earray_20: $i).
% 165.81/24.42 thf(queue_25_type, type, queue_25: $i).
% 165.81/24.42 thf(index_0_type, type, index_0: $i).
% 165.81/24.42 thf(earray_29_type, type, earray_29: $i).
% 165.81/24.42 thf(queue_208_type, type, queue_208: $i).
% 165.81/24.42 thf(earray_100_type, type, earray_100: $i).
% 165.81/24.42 thf(earray_83_type, type, earray_83: $i).
% 165.81/24.42 thf(index_177_type, type, index_177: $i).
% 165.81/24.42 thf(queue_139_type, type, queue_139: $i).
% 165.81/24.42 thf(queue_76_type, type, queue_76: $i).
% 165.81/24.42 thf(index_99_type, type, index_99: $i).
% 165.81/24.42 thf(e14_type, type, e14: $i).
% 165.81/24.42 thf(index_159_type, type, index_159: $i).
% 165.81/24.42 thf(index_84_type, type, index_84: $i).
% 165.81/24.42 thf(queue_80_type, type, queue_80: $i).
% 165.81/24.42 thf(queue_128_type, type, queue_128: $i).
% 165.81/24.42 thf(earray_104_type, type, earray_104: $i).
% 165.81/24.42 thf(index_81_type, type, index_81: $i).
% 165.81/24.42 thf(queue_155_type, type, queue_155: $i).
% 165.81/24.42 thf(index_158_type, type, index_158: $i).
% 165.81/24.42 thf(e12_type, type, e12: $i).
% 165.81/24.42 thf(earray_133_type, type, earray_133: $i).
% 165.81/24.42 thf(q28_type, type, q28: $i).
% 165.81/24.42 thf(queue_34_type, type, queue_34: $i).
% 165.81/24.42 thf(index_39_type, type, index_39: $i).
% 165.81/24.42 thf(queue_92_type, type, queue_92: $i).
% 165.81/24.42 thf(seq_type, type, seq: $i).
% 165.81/24.42 thf(index_153_type, type, index_153: $i).
% 165.81/24.42 thf(index_78_type, type, index_78: $i).
% 165.81/24.42 thf(queue_190_type, type, queue_190: $i).
% 165.81/24.42 thf(q3_type, type, q3: $i).
% 165.81/24.42 thf(index_15_type, type, index_15: $i).
% 165.81/24.42 thf(e29_type, type, e29: $i).
% 165.81/24.42 thf(elem_214_type, type, elem_214: $i).
% 165.81/24.42 thf(earray_140_type, type, earray_140: $i).
% 165.81/24.42 thf(q30_type, type, q30: $i).
% 165.81/24.42 thf(e17_type, type, e17: $i).
% 165.81/24.42 thf(index_150_type, type, index_150: $i).
% 165.81/24.42 thf(index_156_type, type, index_156: $i).
% 165.81/24.42 thf(queue_40_type, type, queue_40: $i).
% 165.81/24.42 thf(q8_type, type, q8: $i).
% 165.81/24.42 thf(earray_146_type, type, earray_146: $i).
% 165.81/24.42 thf(index_33_type, type, index_33: $i).
% 165.81/24.42 thf(select_type, type, select: $i > $i > $i).
% 165.81/24.42 thf(earray_112_type, type, earray_112: $i).
% 165.81/24.42 thf(queue_164_type, type, queue_164: $i).
% 165.81/24.42 thf(index_47_type, type, index_47: $i).
% 165.81/24.42 thf(index_108_type, type, index_108: $i).
% 165.81/24.42 thf(queue_202_type, type, queue_202: $i).
% 165.81/24.42 thf(e13_type, type, e13: $i).
% 165.81/24.42 thf(index_24_type, type, index_24: $i).
% 165.81/24.42 thf(index_96_type, type, index_96: $i).
% 165.81/24.42 thf(index_137_type, type, index_137: $i).
% 165.81/24.42 thf(earray_73_type, type, earray_73: $i).
% 165.81/24.42 thf(tail_type, type, tail: $i).
% 165.81/24.42 thf(queue_122_type, type, queue_122: $i).
% 165.81/24.42 thf(queue_103_type, type, queue_103: $i).
% 165.81/24.42 thf(q22_type, type, q22: $i).
% 165.81/24.42 thf(index_45_type, type, index_45: $i).
% 165.81/24.42 thf(q_type, type, q: $i).
% 165.81/24.42 thf(index_123_type, type, index_123: $i).
% 165.81/24.42 thf(earray_148_type, type, earray_148: $i).
% 165.81/24.42 thf(q15_type, type, q15: $i).
% 165.81/24.42 thf(earray_193_type, type, earray_193: $i).
% 165.81/24.42 thf(q18_type, type, q18: $i).
% 165.81/24.42 thf(queue_160_type, type, queue_160: $i).
% 165.81/24.42 thf(q24_type, type, q24: $i).
% 165.81/24.42 thf(queue_194_type, type, queue_194: $i).
% 165.81/24.42 thf(q21_type, type, q21: $i).
% 165.81/24.42 thf(e21_type, type, e21: $i).
% 165.81/24.42 thf(index_48_type, type, index_48: $i).
% 165.81/24.42 thf(queue_143_type, type, queue_143: $i).
% 165.81/24.42 thf(earray_154_type, type, earray_154: $i).
% 165.81/24.42 thf(queue_130_type, type, queue_130: $i).
% 165.81/24.42 thf(queue_23_type, type, queue_23: $i).
% 165.81/24.42 thf(index_201_type, type, index_201: $i).
% 165.81/24.42 thf(index_188_type, type, index_188: $i).
% 165.81/24.42 thf(queue_149_type, type, queue_149: $i).
% 165.81/24.42 thf(e19_type, type, e19: $i).
% 165.81/24.42 thf(index_69_type, type, index_69: $i).
% 165.81/24.42 thf(earray_131_type, type, earray_131: $i).
% 165.81/24.42 thf(queue_32_type, type, queue_32: $i).
% 165.81/24.42 thf(queue_82_type, type, queue_82: $i).
% 165.81/24.42 thf(q19_type, type, q19: $i).
% 165.81/24.42 thf(index_209_type, type, index_209: $i).
% 165.81/24.42 thf(queue_67_type, type, queue_67: $i).
% 165.81/24.42 thf(q11_type, type, q11: $i).
% 165.81/24.42 thf(earray_52_type, type, earray_52: $i).
% 165.81/24.42 thf(index_116_type, type, index_116: $i).
% 165.81/24.42 thf(index_198_type, type, index_198: $i).
% 165.81/24.42 thf(earray_35_type, type, earray_35: $i).
% 165.81/24.42 thf(queue_13_type, type, queue_13: $i).
% 165.81/24.42 thf(q27_type, type, q27: $i).
% 165.81/24.42 thf(index_174_type, type, index_174: $i).
% 165.81/24.42 thf(earray_85_type, type, earray_85: $i).
% 165.81/24.42 thf(earray_178_type, type, earray_178: $i).
% 165.81/24.42 thf(index_26_type, type, index_26: $i).
% 165.81/24.42 thf(index_180_type, type, index_180: $i).
% 165.81/24.42 thf(index_204_type, type, index_204: $i).
% 165.81/24.42 thf(earray_31_type, type, earray_31: $i).
% 165.81/24.42 thf(index_63_type, type, index_63: $i).
% 165.81/24.42 thf(e24_type, type, e24: $i).
% 165.81/24.42 thf(q6_type, type, q6: $i).
% 165.81/24.42 thf(index_165_type, type, index_165: $i).
% 165.81/24.42 thf(e11_type, type, e11: $i).
% 165.81/24.42 thf(e10_type, type, e10: $i).
% 165.81/24.42 thf(queue_94_type, type, queue_94: $i).
% 165.81/24.42 thf(index_147_type, type, index_147: $i).
% 165.81/24.42 thf(queue_175_type, type, queue_175: $i).
% 165.81/24.42 thf(earray_161_type, type, earray_161: $i).
% 165.81/24.42 thf(index_189_type, type, index_189: $i).
% 165.81/24.42 thf(q13_type, type, q13: $i).
% 165.81/24.42 thf(index_210_type, type, index_210: $i).
% 165.81/24.42 thf(queue_124_type, type, queue_124: $i).
% 165.81/24.42 thf(index_93_type, type, index_93: $i).
% 165.81/24.42 thf(earray_119_type, type, earray_119: $i).
% 165.81/24.42 thf(queue_206_type, type, queue_206: $i).
% 165.81/24.42 thf(queue_49_type, type, queue_49: $i).
% 165.81/24.42 thf(queue_61_type, type, queue_61: $i).
% 165.81/24.42 thf(index_138_type, type, index_138: $i).
% 165.81/24.42 thf(q16_type, type, q16: $i).
% 165.81/24.42 thf(q2_type, type, q2: $i).
% 165.81/24.42 thf(earray_41_type, type, earray_41: $i).
% 165.81/24.42 thf(index_6_type, type, index_6: $i).
% 165.81/24.42 thf(queue_185_type, type, queue_185: $i).
% 165.81/24.42 thf(index_95_type, type, index_95: $i).
% 165.81/24.42 thf(index_183_type, type, index_183: $i).
% 165.81/24.42 thf(earray_71_type, type, earray_71: $i).
% 165.81/24.42 thf(index_117_type, type, index_117: $i).
% 165.81/24.42 thf(index_21_type, type, index_21: $i).
% 165.81/24.42 thf(s_type, type, s: $i > $i).
% 165.81/24.42 thf(q29_type, type, q29: $i).
% 165.81/24.42 thf(earray_184_type, type, earray_184: $i).
% 165.81/24.42 thf(queue_179_type, type, queue_179: $i).
% 165.81/24.42 thf(q17_type, type, q17: $i).
% 165.81/24.42 thf(index_87_type, type, index_87: $i).
% 165.81/24.42 thf(queue_17_type, type, queue_17: $i).
% 165.81/24.42 thf(q12_type, type, q12: $i).
% 165.81/24.42 thf(index_90_type, type, index_90: $i).
% 165.81/24.42 thf(index_195_type, type, index_195: $i).
% 165.81/24.42 thf(queue_55_type, type, queue_55: $i).
% 165.81/24.42 thf(hyp61, axiom, (( elem_214 ) = ( select @ earray_212 @ index_213 ))).
% 165.81/24.42 thf(zip_derived_cl116, plain,
% 165.81/24.42 (((elem_214) = (select @ earray_212 @ index_213))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp61])).
% 165.81/24.42 thf(hyp170, axiom,
% 165.81/24.42 (( queue_169 ) = ( store @ queue_166 @ head @ index_168 ))).
% 165.81/24.42 thf(zip_derived_cl225, plain,
% 165.81/24.42 (((queue_169) = (store @ queue_166 @ head @ index_168))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp170])).
% 165.81/24.42 thf(zip_derived_cl225, plain,
% 165.81/24.42 (((queue_169) = (store @ queue_166 @ head @ index_168))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp170])).
% 165.81/24.42 thf(a1, axiom, (( select @ ( store @ A @ I @ E ) @ I ) = ( E ))).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1572, plain, (((select @ queue_169 @ head) = (index_168))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl0])).
% 165.81/24.42 thf(hyp110, axiom, (( index_213 ) = ( select @ q30 @ head ))).
% 165.81/24.42 thf(zip_derived_cl165, plain, (((index_213) = (select @ q30 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp110])).
% 165.81/24.42 thf(hyp239, axiom, (( q30 ) = ( queue_169 ))).
% 165.81/24.42 thf(zip_derived_cl294, plain, (((q30) = (queue_169))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp239])).
% 165.81/24.42 thf(zip_derived_cl871, plain, (((index_213) = (select @ queue_169 @ head))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl294])).
% 165.81/24.42 thf(zip_derived_cl1574, plain, (((index_213) = (index_168))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl1572, zip_derived_cl871])).
% 165.81/24.42 thf(zip_derived_cl1582, plain,
% 165.81/24.42 (((queue_169) = (store @ queue_166 @ head @ index_213))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl225, zip_derived_cl1574])).
% 165.81/24.42 thf(a2, axiom,
% 165.81/24.42 (( ( I ) = ( J ) ) |
% 165.81/24.42 ( ( select @ ( store @ A @ I @ E ) @ J ) = ( select @ A @ J ) ))).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl3931, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_169 @ X0) = (select @ queue_166 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1582, zip_derived_cl1])).
% 165.81/24.42 thf(hyp169, axiom,
% 165.81/24.42 (( queue_166 ) = ( store @ queue_164 @ tail @ index_165 ))).
% 165.81/24.42 thf(zip_derived_cl224, plain,
% 165.81/24.42 (((queue_166) = (store @ queue_164 @ tail @ index_165))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp169])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1571, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_166 @ X0) = (select @ queue_164 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6902, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_169 @ X0) = (select @ queue_164 @ X0))
% 165.81/24.42 | ((head) = (X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl3931, zip_derived_cl1571])).
% 165.81/24.42 thf(hyp36, axiom, (( earray_212 ) = ( select @ q30 @ seq ))).
% 165.81/24.42 thf(zip_derived_cl91, plain, (((earray_212) = (select @ q30 @ seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp36])).
% 165.81/24.42 thf(zip_derived_cl294, plain, (((q30) = (queue_169))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp239])).
% 165.81/24.42 thf(zip_derived_cl681, plain, (((earray_212) = (select @ queue_169 @ seq))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl294])).
% 165.81/24.42 thf(zip_derived_cl7383, plain,
% 165.81/24.42 ((((earray_212) = (select @ queue_164 @ seq))
% 165.81/24.42 | ((tail) = (seq))
% 165.81/24.42 | ((head) = (seq)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6902, zip_derived_cl681])).
% 165.81/24.42 thf(hyp168, axiom, (( queue_164 ) = ( store @ q29 @ seq @ earray_163 ))).
% 165.81/24.42 thf(zip_derived_cl223, plain,
% 165.81/24.42 (((queue_164) = (store @ q29 @ seq @ earray_163))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp168])).
% 165.81/24.42 thf(hyp237, axiom, (( q29 ) = ( queue_151 ))).
% 165.81/24.42 thf(zip_derived_cl292, plain, (((q29) = (queue_151))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp237])).
% 165.81/24.42 thf(zip_derived_cl1567, plain,
% 165.81/24.42 (((queue_164) = (store @ queue_151 @ seq @ earray_163))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl223, zip_derived_cl292])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1568, plain, (((select @ queue_164 @ seq) = (earray_163))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1567, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl7387, plain,
% 165.81/24.42 ((((earray_212) = (earray_163)) | ((tail) = (seq)) | ((head) = (seq)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl7383, zip_derived_cl1568])).
% 165.81/24.42 thf(head_distinct_from_seq, axiom, (( head ) != ( seq ))).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(tail_distinct_from_seq, axiom, (( tail ) != ( seq ))).
% 165.81/24.42 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl7388, plain, (((earray_212) = (earray_163))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl7387, zip_derived_cl3, zip_derived_cl4])).
% 165.81/24.42 thf(zip_derived_cl7389, plain,
% 165.81/24.42 (((elem_214) = (select @ earray_163 @ index_213))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl7388])).
% 165.81/24.42 thf(hyp21, axiom,
% 165.81/24.42 (( earray_163 ) = ( store @ earray_161 @ index_162 @ e29 ))).
% 165.81/24.42 thf(zip_derived_cl76, plain,
% 165.81/24.42 (((earray_163) = (store @ earray_161 @ index_162 @ e29))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp21])).
% 165.81/24.42 thf(hyp88, axiom, (( index_162 ) = ( select @ q29 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl143, plain, (((index_162) = (select @ q29 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp88])).
% 165.81/24.42 thf(zip_derived_cl292, plain, (((q29) = (queue_151))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp237])).
% 165.81/24.42 thf(zip_derived_cl783, plain, (((index_162) = (select @ queue_151 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl292])).
% 165.81/24.42 thf(hyp164, axiom,
% 165.81/24.42 (( queue_151 ) = ( store @ queue_149 @ tail @ index_150 ))).
% 165.81/24.42 thf(zip_derived_cl219, plain,
% 165.81/24.42 (((queue_151) = (store @ queue_149 @ tail @ index_150))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp164])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1482, plain, (((select @ queue_151 @ tail) = (index_150))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl219, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl2156, plain, (((index_162) = (index_150))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl1482])).
% 165.81/24.42 thf(zip_derived_cl2157, plain,
% 165.81/24.42 (((earray_163) = (store @ earray_161 @ index_150 @ e29))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl2156])).
% 165.81/24.42 thf(zip_derived_cl219, plain,
% 165.81/24.42 (((queue_151) = (store @ queue_149 @ tail @ index_150))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp164])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1483, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_151 @ X0) = (select @ queue_149 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl219, zip_derived_cl1])).
% 165.81/24.42 thf(hyp20, axiom, (( earray_161 ) = ( select @ q29 @ seq ))).
% 165.81/24.42 thf(zip_derived_cl75, plain, (((earray_161) = (select @ q29 @ seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp20])).
% 165.81/24.42 thf(zip_derived_cl292, plain, (((q29) = (queue_151))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp237])).
% 165.81/24.42 thf(zip_derived_cl632, plain, (((earray_161) = (select @ queue_151 @ seq))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl292])).
% 165.81/24.42 thf(zip_derived_cl4774, plain,
% 165.81/24.42 ((((earray_161) = (select @ queue_149 @ seq)) | ((tail) = (seq)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1483, zip_derived_cl632])).
% 165.81/24.42 thf(hyp163, axiom, (( queue_149 ) = ( store @ q28 @ seq @ earray_148 ))).
% 165.81/24.42 thf(zip_derived_cl218, plain,
% 165.81/24.42 (((queue_149) = (store @ q28 @ seq @ earray_148))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp163])).
% 165.81/24.42 thf(hyp236, axiom, (( q28 ) = ( queue_145 ))).
% 165.81/24.42 thf(zip_derived_cl291, plain, (((q28) = (queue_145))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp236])).
% 165.81/24.42 thf(zip_derived_cl1479, plain,
% 165.81/24.42 (((queue_149) = (store @ queue_145 @ seq @ earray_148))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl291])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1480, plain, (((select @ queue_149 @ seq) = (earray_148))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1479, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl4775, plain,
% 165.81/24.42 ((((earray_161) = (earray_148)) | ((tail) = (seq)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4774, zip_derived_cl1480])).
% 165.81/24.42 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4776, plain, (((earray_161) = (earray_148))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4775, zip_derived_cl4])).
% 165.81/24.42 thf(zip_derived_cl4778, plain,
% 165.81/24.42 (((earray_163) = (store @ earray_148 @ index_150 @ e29))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl2157, zip_derived_cl4776])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl4786, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ earray_163 @ X0) = (select @ earray_148 @ X0))
% 165.81/24.42 | ((index_150) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4778, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl7391, plain,
% 165.81/24.42 ((((elem_214) = (select @ earray_148 @ index_213))
% 165.81/24.42 | ((index_150) = (index_213)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl7389, zip_derived_cl4786])).
% 165.81/24.42 thf(hyp16, axiom,
% 165.81/24.42 (( earray_148 ) = ( store @ earray_146 @ index_147 @ e28 ))).
% 165.81/24.42 thf(zip_derived_cl71, plain,
% 165.81/24.42 (((earray_148) = (store @ earray_146 @ index_147 @ e28))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp16])).
% 165.81/24.42 thf(hyp81, axiom, (( index_147 ) = ( select @ q28 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl136, plain, (((index_147) = (select @ q28 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp81])).
% 165.81/24.42 thf(zip_derived_cl291, plain, (((q28) = (queue_145))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp236])).
% 165.81/24.42 thf(zip_derived_cl780, plain, (((index_147) = (select @ queue_145 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl291])).
% 165.81/24.42 thf(hyp162, axiom,
% 165.81/24.42 (( queue_145 ) = ( store @ queue_143 @ tail @ index_144 ))).
% 165.81/24.42 thf(zip_derived_cl217, plain,
% 165.81/24.42 (((queue_145) = (store @ queue_143 @ tail @ index_144))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp162])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1477, plain, (((select @ queue_145 @ tail) = (index_144))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl2052, plain, (((index_147) = (index_144))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl780, zip_derived_cl1477])).
% 165.81/24.42 thf(zip_derived_cl2098, plain,
% 165.81/24.42 (((earray_148) = (store @ earray_146 @ index_144 @ e28))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl2052])).
% 165.81/24.42 thf(zip_derived_cl217, plain,
% 165.81/24.42 (((queue_145) = (store @ queue_143 @ tail @ index_144))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp162])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1478, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_145 @ X0) = (select @ queue_143 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl1])).
% 165.81/24.42 thf(hyp15, axiom, (( earray_146 ) = ( select @ q28 @ seq ))).
% 165.81/24.42 thf(zip_derived_cl70, plain, (((earray_146) = (select @ q28 @ seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp15])).
% 165.81/24.42 thf(zip_derived_cl291, plain, (((q28) = (queue_145))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp236])).
% 165.81/24.42 thf(zip_derived_cl630, plain, (((earray_146) = (select @ queue_145 @ seq))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl291])).
% 165.81/24.42 thf(zip_derived_cl4760, plain,
% 165.81/24.42 ((((earray_146) = (select @ queue_143 @ seq)) | ((tail) = (seq)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1478, zip_derived_cl630])).
% 165.81/24.42 thf(hyp161, axiom, (( queue_143 ) = ( store @ q27 @ seq @ earray_142 ))).
% 165.81/24.42 thf(zip_derived_cl216, plain,
% 165.81/24.42 (((queue_143) = (store @ q27 @ seq @ earray_142))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp161])).
% 165.81/24.42 thf(hyp235, axiom, (( q27 ) = ( queue_139 ))).
% 165.81/24.42 thf(zip_derived_cl290, plain, (((q27) = (queue_139))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp235])).
% 165.81/24.42 thf(zip_derived_cl1474, plain,
% 165.81/24.42 (((queue_143) = (store @ queue_139 @ seq @ earray_142))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl216, zip_derived_cl290])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1475, plain, (((select @ queue_143 @ seq) = (earray_142))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1474, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl4761, plain,
% 165.81/24.42 ((((earray_146) = (earray_142)) | ((tail) = (seq)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4760, zip_derived_cl1475])).
% 165.81/24.42 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4762, plain, (((earray_146) = (earray_142))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4761, zip_derived_cl4])).
% 165.81/24.42 thf(zip_derived_cl4765, plain,
% 165.81/24.42 (((earray_148) = (store @ earray_142 @ index_144 @ e28))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl2098, zip_derived_cl4762])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl4769, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ earray_148 @ X0) = (select @ earray_142 @ X0))
% 165.81/24.42 | ((index_144) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4765, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl7395, plain,
% 165.81/24.42 ((((elem_214) = (select @ earray_142 @ index_213))
% 165.81/24.42 | ((index_150) = (index_213))
% 165.81/24.42 | ((index_144) = (index_213)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl7391, zip_derived_cl4769])).
% 165.81/24.42 thf(hyp14, axiom,
% 165.81/24.42 (( earray_142 ) = ( store @ earray_140 @ index_141 @ e27 ))).
% 165.81/24.42 thf(zip_derived_cl69, plain,
% 165.81/24.42 (((earray_142) = (store @ earray_140 @ index_141 @ e27))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp14])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1102, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ earray_142 @ X0) = (select @ earray_140 @ X0))
% 165.81/24.42 | ((index_141) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl1])).
% 165.81/24.42 thf(hyp79, axiom, (( index_141 ) = ( select @ q27 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl134, plain, (((index_141) = (select @ q27 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp79])).
% 165.81/24.42 thf(zip_derived_cl290, plain, (((q27) = (queue_139))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp235])).
% 165.81/24.42 thf(zip_derived_cl779, plain, (((index_141) = (select @ queue_139 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl290])).
% 165.81/24.42 thf(hyp160, axiom,
% 165.81/24.42 (( queue_139 ) = ( store @ queue_136 @ head @ index_138 ))).
% 165.81/24.42 thf(zip_derived_cl215, plain,
% 165.81/24.42 (((queue_139) = (store @ queue_136 @ head @ index_138))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp160])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1425, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_139 @ X0) = (select @ queue_136 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl1])).
% 165.81/24.42 thf(hyp159, axiom,
% 165.81/24.42 (( queue_136 ) = ( store @ queue_134 @ tail @ index_135 ))).
% 165.81/24.42 thf(zip_derived_cl214, plain,
% 165.81/24.42 (((queue_136) = (store @ queue_134 @ tail @ index_135))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp159])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1422, plain, (((select @ queue_136 @ tail) = (index_135))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl4600, plain,
% 165.81/24.42 ((((select @ queue_139 @ tail) = (index_135)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1425, zip_derived_cl1422])).
% 165.81/24.42 thf(head_distinct_from_tail, axiom, (( head ) != ( tail ))).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4602, plain, (((select @ queue_139 @ tail) = (index_135))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4600, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl4603, plain, (((index_141) = (index_135))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl779, zip_derived_cl4602])).
% 165.81/24.42 thf(zip_derived_cl4608, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ earray_142 @ X0) = (select @ earray_140 @ X0))
% 165.81/24.42 | ((index_135) = (X0)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl1102, zip_derived_cl4603])).
% 165.81/24.42 thf(zip_derived_cl1425, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_139 @ X0) = (select @ queue_136 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl214, plain,
% 165.81/24.42 (((queue_136) = (store @ queue_134 @ tail @ index_135))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp159])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1423, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_136 @ X0) = (select @ queue_134 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4599, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_139 @ X0) = (select @ queue_134 @ X0))
% 165.81/24.42 | ((head) = (X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1425, zip_derived_cl1423])).
% 165.81/24.42 thf(hyp13, axiom, (( earray_140 ) = ( select @ q27 @ seq ))).
% 165.81/24.42 thf(zip_derived_cl68, plain, (((earray_140) = (select @ q27 @ seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp13])).
% 165.81/24.42 thf(zip_derived_cl290, plain, (((q27) = (queue_139))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp235])).
% 165.81/24.42 thf(zip_derived_cl629, plain, (((earray_140) = (select @ queue_139 @ seq))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl290])).
% 165.81/24.42 thf(zip_derived_cl7201, plain,
% 165.81/24.42 ((((earray_140) = (select @ queue_134 @ seq))
% 165.81/24.42 | ((tail) = (seq))
% 165.81/24.42 | ((head) = (seq)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4599, zip_derived_cl629])).
% 165.81/24.42 thf(hyp158, axiom, (( queue_134 ) = ( store @ q26 @ seq @ earray_133 ))).
% 165.81/24.42 thf(zip_derived_cl213, plain,
% 165.81/24.42 (((queue_134) = (store @ q26 @ seq @ earray_133))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp158])).
% 165.81/24.42 thf(hyp234, axiom, (( q26 ) = ( queue_130 ))).
% 165.81/24.42 thf(zip_derived_cl289, plain, (((q26) = (queue_130))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp234])).
% 165.81/24.42 thf(zip_derived_cl1419, plain,
% 165.81/24.42 (((queue_134) = (store @ queue_130 @ seq @ earray_133))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl289])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1420, plain, (((select @ queue_134 @ seq) = (earray_133))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1419, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl7206, plain,
% 165.81/24.42 ((((earray_140) = (earray_133)) | ((tail) = (seq)) | ((head) = (seq)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl7201, zip_derived_cl1420])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl7207, plain, (((earray_140) = (earray_133))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl7206, zip_derived_cl3, zip_derived_cl4])).
% 165.81/24.42 thf(zip_derived_cl7210, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ earray_142 @ X0) = (select @ earray_133 @ X0))
% 165.81/24.42 | ((index_135) = (X0)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4608, zip_derived_cl7207])).
% 165.81/24.42 thf(zip_derived_cl7396, plain,
% 165.81/24.42 ((((elem_214) = (select @ earray_133 @ index_213))
% 165.81/24.42 | ((index_144) = (index_213))
% 165.81/24.42 | ((index_150) = (index_213))
% 165.81/24.42 | ((index_135) = (index_213)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl7395, zip_derived_cl7210])).
% 165.81/24.42 thf(hyp11, axiom,
% 165.81/24.42 (( earray_133 ) = ( store @ earray_131 @ index_132 @ e26 ))).
% 165.81/24.42 thf(zip_derived_cl66, plain,
% 165.81/24.42 (((earray_133) = (store @ earray_131 @ index_132 @ e26))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp11])).
% 165.81/24.42 thf(hyp75, axiom, (( index_132 ) = ( select @ q26 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl130, plain, (((index_132) = (select @ q26 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp75])).
% 165.81/24.42 thf(zip_derived_cl289, plain, (((q26) = (queue_130))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp234])).
% 165.81/24.42 thf(zip_derived_cl778, plain, (((index_132) = (select @ queue_130 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl289])).
% 165.81/24.42 thf(hyp157, axiom,
% 165.81/24.42 (( queue_130 ) = ( store @ queue_128 @ tail @ index_129 ))).
% 165.81/24.42 thf(zip_derived_cl212, plain,
% 165.81/24.42 (((queue_130) = (store @ queue_128 @ tail @ index_129))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp157])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1417, plain, (((select @ queue_130 @ tail) = (index_129))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl1892, plain, (((index_132) = (index_129))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl778, zip_derived_cl1417])).
% 165.81/24.42 thf(zip_derived_cl1951, plain,
% 165.81/24.42 (((earray_133) = (store @ earray_131 @ index_129 @ e26))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl1892])).
% 165.81/24.42 thf(zip_derived_cl212, plain,
% 165.81/24.42 (((queue_130) = (store @ queue_128 @ tail @ index_129))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp157])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1418, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_130 @ X0) = (select @ queue_128 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl1])).
% 165.81/24.42 thf(hyp10, axiom, (( earray_131 ) = ( select @ q26 @ seq ))).
% 165.81/24.42 thf(zip_derived_cl65, plain, (((earray_131) = (select @ q26 @ seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp10])).
% 165.81/24.42 thf(zip_derived_cl289, plain, (((q26) = (queue_130))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp234])).
% 165.81/24.42 thf(zip_derived_cl587, plain, (((earray_131) = (select @ queue_130 @ seq))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl289])).
% 165.81/24.42 thf(zip_derived_cl4474, plain,
% 165.81/24.42 ((((earray_131) = (select @ queue_128 @ seq)) | ((tail) = (seq)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1418, zip_derived_cl587])).
% 165.81/24.42 thf(hyp155, axiom, (( queue_128 ) = ( store @ q25 @ seq @ earray_127 ))).
% 165.81/24.42 thf(zip_derived_cl210, plain,
% 165.81/24.42 (((queue_128) = (store @ q25 @ seq @ earray_127))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp155])).
% 165.81/24.42 thf(hyp233, axiom, (( q25 ) = ( queue_124 ))).
% 165.81/24.42 thf(zip_derived_cl288, plain, (((q25) = (queue_124))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp233])).
% 165.81/24.42 thf(zip_derived_cl1412, plain,
% 165.81/24.42 (((queue_128) = (store @ queue_124 @ seq @ earray_127))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl288])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1413, plain, (((select @ queue_128 @ seq) = (earray_127))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1412, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl4475, plain,
% 165.81/24.42 ((((earray_131) = (earray_127)) | ((tail) = (seq)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4474, zip_derived_cl1413])).
% 165.81/24.42 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4476, plain, (((earray_131) = (earray_127))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4475, zip_derived_cl4])).
% 165.81/24.42 thf(zip_derived_cl4478, plain,
% 165.81/24.42 (((earray_133) = (store @ earray_127 @ index_129 @ e26))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl1951, zip_derived_cl4476])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl4482, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ earray_133 @ X0) = (select @ earray_127 @ X0))
% 165.81/24.42 | ((index_129) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4478, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl7399, plain,
% 165.81/24.42 ((((elem_214) = (select @ earray_127 @ index_213))
% 165.81/24.42 | ((index_135) = (index_213))
% 165.81/24.42 | ((index_150) = (index_213))
% 165.81/24.42 | ((index_144) = (index_213))
% 165.81/24.42 | ((index_129) = (index_213)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl7396, zip_derived_cl4482])).
% 165.81/24.42 thf(hyp9, axiom, (( earray_127 ) = ( store @ earray_125 @ index_126 @ e25 ))).
% 165.81/24.42 thf(zip_derived_cl64, plain,
% 165.81/24.42 (((earray_127) = (store @ earray_125 @ index_126 @ e25))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp9])).
% 165.81/24.42 thf(hyp73, axiom, (( index_126 ) = ( select @ q25 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl128, plain, (((index_126) = (select @ q25 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp73])).
% 165.81/24.42 thf(zip_derived_cl288, plain, (((q25) = (queue_124))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp233])).
% 165.81/24.42 thf(zip_derived_cl777, plain, (((index_126) = (select @ queue_124 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl288])).
% 165.81/24.42 thf(hyp154, axiom,
% 165.81/24.42 (( queue_124 ) = ( store @ queue_122 @ tail @ index_123 ))).
% 165.81/24.42 thf(zip_derived_cl209, plain,
% 165.81/24.42 (((queue_124) = (store @ queue_122 @ tail @ index_123))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp154])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1370, plain, (((select @ queue_124 @ tail) = (index_123))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl1756, plain, (((index_126) = (index_123))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl1370])).
% 165.81/24.42 thf(zip_derived_cl1757, plain,
% 165.81/24.42 (((earray_127) = (store @ earray_125 @ index_123 @ e25))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl1756])).
% 165.81/24.42 thf(zip_derived_cl209, plain,
% 165.81/24.42 (((queue_124) = (store @ queue_122 @ tail @ index_123))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp154])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1371, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_124 @ X0) = (select @ queue_122 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 165.81/24.42 thf(hyp8, axiom, (( earray_125 ) = ( select @ q25 @ seq ))).
% 165.81/24.42 thf(zip_derived_cl63, plain, (((earray_125) = (select @ q25 @ seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp8])).
% 165.81/24.42 thf(zip_derived_cl288, plain, (((q25) = (queue_124))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp233])).
% 165.81/24.42 thf(zip_derived_cl586, plain, (((earray_125) = (select @ queue_124 @ seq))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl288])).
% 165.81/24.42 thf(zip_derived_cl4447, plain,
% 165.81/24.42 ((((earray_125) = (select @ queue_122 @ seq)) | ((tail) = (seq)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1371, zip_derived_cl586])).
% 165.81/24.42 thf(hyp153, axiom, (( queue_122 ) = ( store @ q24 @ seq @ earray_121 ))).
% 165.81/24.42 thf(zip_derived_cl208, plain,
% 165.81/24.42 (((queue_122) = (store @ q24 @ seq @ earray_121))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp153])).
% 165.81/24.42 thf(hyp232, axiom, (( q24 ) = ( queue_118 ))).
% 165.81/24.42 thf(zip_derived_cl287, plain, (((q24) = (queue_118))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp232])).
% 165.81/24.42 thf(zip_derived_cl1367, plain,
% 165.81/24.42 (((queue_122) = (store @ queue_118 @ seq @ earray_121))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl208, zip_derived_cl287])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1368, plain, (((select @ queue_122 @ seq) = (earray_121))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1367, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl4448, plain,
% 165.81/24.42 ((((earray_125) = (earray_121)) | ((tail) = (seq)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4447, zip_derived_cl1368])).
% 165.81/24.42 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4449, plain, (((earray_125) = (earray_121))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4448, zip_derived_cl4])).
% 165.81/24.42 thf(zip_derived_cl4451, plain,
% 165.81/24.42 (((earray_127) = (store @ earray_121 @ index_123 @ e25))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl1757, zip_derived_cl4449])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl4455, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ earray_127 @ X0) = (select @ earray_121 @ X0))
% 165.81/24.42 | ((index_123) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4451, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl7443, plain,
% 165.81/24.42 ((((elem_214) = (select @ earray_121 @ index_213))
% 165.81/24.42 | ((index_129) = (index_213))
% 165.81/24.42 | ((index_144) = (index_213))
% 165.81/24.42 | ((index_150) = (index_213))
% 165.81/24.42 | ((index_135) = (index_213))
% 165.81/24.42 | ((index_123) = (index_213)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl7399, zip_derived_cl4455])).
% 165.81/24.42 thf(hyp95, axiom, (( index_18 ) = ( s @ index_15 ))).
% 165.81/24.42 thf(zip_derived_cl150, plain, (((index_18) = (s @ index_15))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp95])).
% 165.81/24.42 thf(hyp82, axiom, (( index_15 ) = ( select @ q10 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl137, plain, (((index_15) = (select @ q10 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp82])).
% 165.81/24.42 thf(hyp217, axiom, (( q10 ) = ( queue_13 ))).
% 165.81/24.42 thf(zip_derived_cl272, plain, (((q10) = (queue_13))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp217])).
% 165.81/24.42 thf(zip_derived_cl781, plain, (((index_15) = (select @ queue_13 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl137, zip_derived_cl272])).
% 165.81/24.42 thf(hyp156, axiom, (( queue_13 ) = ( store @ queue_11 @ tail @ index_12 ))).
% 165.81/24.42 thf(zip_derived_cl211, plain,
% 165.81/24.42 (((queue_13) = (store @ queue_11 @ tail @ index_12))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp156])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1415, plain, (((select @ queue_13 @ tail) = (index_12))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl1852, plain, (((index_15) = (index_12))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl781, zip_derived_cl1415])).
% 165.81/24.42 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.42 thf(hyp70, axiom, (( index_12 ) = ( s @ index_9 ))).
% 165.81/24.42 thf(zip_derived_cl125, plain, (((index_12) = (s @ index_9))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp70])).
% 165.81/24.42 thf(hyp138, axiom, (( index_9 ) = ( select @ q9 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl193, plain, (((index_9) = (select @ q9 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp138])).
% 165.81/24.42 thf(hyp245, axiom, (( q9 ) = ( queue_211 ))).
% 165.81/24.42 thf(zip_derived_cl300, plain, (((q9) = (queue_211))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp245])).
% 165.81/24.42 thf(zip_derived_cl922, plain, (((index_9) = (select @ queue_211 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl300])).
% 165.81/24.42 thf(hyp186, axiom,
% 165.81/24.42 (( queue_211 ) = ( store @ queue_208 @ head @ index_210 ))).
% 165.81/24.42 thf(zip_derived_cl241, plain,
% 165.81/24.42 (((queue_211) = (store @ queue_208 @ head @ index_210))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp186])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1841, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_211 @ X0) = (select @ queue_208 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl241, zip_derived_cl1])).
% 165.81/24.42 thf(hyp185, axiom,
% 165.81/24.42 (( queue_208 ) = ( store @ queue_206 @ tail @ index_207 ))).
% 165.81/24.42 thf(zip_derived_cl240, plain,
% 165.81/24.42 (((queue_208) = (store @ queue_206 @ tail @ index_207))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp185])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1838, plain, (((select @ queue_208 @ tail) = (index_207))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl240, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl5533, plain,
% 165.81/24.42 ((((select @ queue_211 @ tail) = (index_207)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1841, zip_derived_cl1838])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5535, plain, (((select @ queue_211 @ tail) = (index_207))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5533, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl5536, plain, (((index_9) = (index_207))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl922, zip_derived_cl5535])).
% 165.81/24.42 thf(zip_derived_cl5540, plain, (((index_12) = (s @ index_207))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl5536])).
% 165.81/24.42 thf(hyp106, axiom, (( index_207 ) = ( s @ index_204 ))).
% 165.81/24.42 thf(zip_derived_cl161, plain, (((index_207) = (s @ index_204))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp106])).
% 165.81/24.42 thf(hyp105, axiom, (( index_204 ) = ( select @ q8 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl160, plain, (((index_204) = (select @ q8 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp105])).
% 165.81/24.42 thf(hyp244, axiom, (( q8 ) = ( queue_202 ))).
% 165.81/24.42 thf(zip_derived_cl299, plain, (((q8) = (queue_202))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp244])).
% 165.81/24.42 thf(zip_derived_cl829, plain, (((index_204) = (select @ queue_202 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl299])).
% 165.81/24.42 thf(hyp183, axiom,
% 165.81/24.42 (( queue_202 ) = ( store @ queue_200 @ tail @ index_201 ))).
% 165.81/24.42 thf(zip_derived_cl238, plain,
% 165.81/24.42 (((queue_202) = (store @ queue_200 @ tail @ index_201))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp183])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1751, plain, (((select @ queue_202 @ tail) = (index_201))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3310, plain, (((index_204) = (index_201))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl829, zip_derived_cl1751])).
% 165.81/24.42 thf(zip_derived_cl3312, plain, (((index_207) = (s @ index_201))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl161, zip_derived_cl3310])).
% 165.81/24.42 thf(hyp104, axiom, (( index_201 ) = ( s @ index_198 ))).
% 165.81/24.42 thf(zip_derived_cl159, plain, (((index_201) = (s @ index_198))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp104])).
% 165.81/24.42 thf(hyp103, axiom, (( index_198 ) = ( select @ q7 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl158, plain, (((index_198) = (select @ q7 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp103])).
% 165.81/24.42 thf(hyp243, axiom, (( q7 ) = ( queue_196 ))).
% 165.81/24.42 thf(zip_derived_cl298, plain, (((q7) = (queue_196))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp243])).
% 165.81/24.42 thf(zip_derived_cl828, plain, (((index_198) = (select @ queue_196 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl158, zip_derived_cl298])).
% 165.81/24.42 thf(hyp181, axiom,
% 165.81/24.42 (( queue_196 ) = ( store @ queue_194 @ tail @ index_195 ))).
% 165.81/24.42 thf(zip_derived_cl236, plain,
% 165.81/24.42 (((queue_196) = (store @ queue_194 @ tail @ index_195))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp181])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1746, plain, (((select @ queue_196 @ tail) = (index_195))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl236, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3248, plain, (((index_198) = (index_195))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl828, zip_derived_cl1746])).
% 165.81/24.42 thf(zip_derived_cl3250, plain, (((index_201) = (s @ index_195))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl3248])).
% 165.81/24.42 thf(hyp142, axiom, (( index_96 ) = ( s @ index_95 ))).
% 165.81/24.42 thf(zip_derived_cl197, plain, (((index_96) = (s @ index_95))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp142])).
% 165.81/24.42 thf(hyp214, axiom, (( queue_97 ) = ( store @ queue_94 @ head @ index_96 ))).
% 165.81/24.42 thf(zip_derived_cl269, plain,
% 165.81/24.42 (((queue_97) = (store @ queue_94 @ head @ index_96))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp214])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2221, plain, (((select @ queue_97 @ head) = (index_96))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl269, zip_derived_cl0])).
% 165.81/24.42 thf(hyp145, axiom, (( queue_101 ) = ( store @ q21 @ seq @ earray_100 ))).
% 165.81/24.42 thf(zip_derived_cl200, plain,
% 165.81/24.42 (((queue_101) = (store @ q21 @ seq @ earray_100))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp145])).
% 165.81/24.42 thf(hyp229, axiom, (( q21 ) = ( queue_97 ))).
% 165.81/24.42 thf(zip_derived_cl284, plain, (((q21) = (queue_97))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp229])).
% 165.81/24.42 thf(zip_derived_cl1307, plain,
% 165.81/24.42 (((queue_101) = (store @ queue_97 @ seq @ earray_100))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl284])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1309, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_101 @ X0) = (select @ queue_97 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1307, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4115, plain,
% 165.81/24.42 ((((select @ queue_101 @ head) = (index_96)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2221, zip_derived_cl1309])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4116, plain, (((select @ queue_101 @ head) = (index_96))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4115, zip_derived_cl3])).
% 165.81/24.42 thf(hyp151, axiom,
% 165.81/24.42 (( queue_115 ) = ( store @ queue_113 @ tail @ index_114 ))).
% 165.81/24.42 thf(zip_derived_cl206, plain,
% 165.81/24.42 (((queue_115) = (store @ queue_113 @ tail @ index_114))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp151])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1364, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_115 @ X0) = (select @ queue_113 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl206, zip_derived_cl1])).
% 165.81/24.42 thf(hyp68, axiom, (( index_116 ) = ( select @ queue_115 @ head ))).
% 165.81/24.42 thf(zip_derived_cl123, plain, (((index_116) = (select @ queue_115 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp68])).
% 165.81/24.42 thf(zip_derived_cl4166, plain,
% 165.81/24.42 ((((index_116) = (select @ queue_113 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1364, zip_derived_cl123])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4168, plain, (((index_116) = (select @ queue_113 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4166, zip_derived_cl2])).
% 165.81/24.42 thf(hyp150, axiom, (( queue_113 ) = ( store @ q23 @ seq @ earray_112 ))).
% 165.81/24.42 thf(zip_derived_cl205, plain,
% 165.81/24.42 (((queue_113) = (store @ q23 @ seq @ earray_112))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp150])).
% 165.81/24.42 thf(hyp231, axiom, (( q23 ) = ( queue_109 ))).
% 165.81/24.42 thf(zip_derived_cl286, plain, (((q23) = (queue_109))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp231])).
% 165.81/24.42 thf(zip_derived_cl1360, plain,
% 165.81/24.42 (((queue_113) = (store @ queue_109 @ seq @ earray_112))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl205, zip_derived_cl286])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1362, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_113 @ X0) = (select @ queue_109 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1360, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4169, plain,
% 165.81/24.42 ((((index_116) = (select @ queue_109 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4168, zip_derived_cl1362])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4170, plain, (((index_116) = (select @ queue_109 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4169, zip_derived_cl3])).
% 165.81/24.42 thf(hyp148, axiom,
% 165.81/24.42 (( queue_109 ) = ( store @ queue_107 @ tail @ index_108 ))).
% 165.81/24.42 thf(zip_derived_cl203, plain,
% 165.81/24.42 (((queue_109) = (store @ queue_107 @ tail @ index_108))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp148])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1316, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_109 @ X0) = (select @ queue_107 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4171, plain,
% 165.81/24.42 ((((index_116) = (select @ queue_107 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4170, zip_derived_cl1316])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4172, plain, (((index_116) = (select @ queue_107 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4171, zip_derived_cl2])).
% 165.81/24.42 thf(hyp147, axiom, (( queue_107 ) = ( store @ q22 @ seq @ earray_106 ))).
% 165.81/24.42 thf(zip_derived_cl202, plain,
% 165.81/24.42 (((queue_107) = (store @ q22 @ seq @ earray_106))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp147])).
% 165.81/24.42 thf(hyp230, axiom, (( q22 ) = ( queue_103 ))).
% 165.81/24.42 thf(zip_derived_cl285, plain, (((q22) = (queue_103))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp230])).
% 165.81/24.42 thf(zip_derived_cl1312, plain,
% 165.81/24.42 (((queue_107) = (store @ queue_103 @ seq @ earray_106))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl202, zip_derived_cl285])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1314, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_107 @ X0) = (select @ queue_103 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1312, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4173, plain,
% 165.81/24.42 ((((index_116) = (select @ queue_103 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4172, zip_derived_cl1314])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4174, plain, (((index_116) = (select @ queue_103 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4173, zip_derived_cl3])).
% 165.81/24.42 thf(hyp146, axiom,
% 165.81/24.42 (( queue_103 ) = ( store @ queue_101 @ tail @ index_102 ))).
% 165.81/24.42 thf(zip_derived_cl201, plain,
% 165.81/24.42 (((queue_103) = (store @ queue_101 @ tail @ index_102))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp146])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1311, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_103 @ X0) = (select @ queue_101 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4176, plain,
% 165.81/24.42 ((((index_116) = (select @ queue_101 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4174, zip_derived_cl1311])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4177, plain, (((index_116) = (select @ queue_101 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4176, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl4178, plain, (((index_116) = (index_96))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4116, zip_derived_cl4177])).
% 165.81/24.42 thf(zip_derived_cl4179, plain, (((index_116) = (s @ index_95))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl4178])).
% 165.81/24.42 thf(hyp213, axiom, (( queue_94 ) = ( store @ queue_92 @ tail @ index_93 ))).
% 165.81/24.42 thf(zip_derived_cl268, plain,
% 165.81/24.42 (((queue_94) = (store @ queue_92 @ tail @ index_93))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp213])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2220, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_94 @ X0) = (select @ queue_92 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 165.81/24.42 thf(hyp141, axiom, (( index_95 ) = ( select @ queue_94 @ head ))).
% 165.81/24.42 thf(zip_derived_cl196, plain, (((index_95) = (select @ queue_94 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp141])).
% 165.81/24.42 thf(zip_derived_cl6719, plain,
% 165.81/24.42 ((((index_95) = (select @ queue_92 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2220, zip_derived_cl196])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6721, plain, (((index_95) = (select @ queue_92 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6719, zip_derived_cl2])).
% 165.81/24.42 thf(hyp212, axiom, (( queue_92 ) = ( store @ q20 @ seq @ earray_91 ))).
% 165.81/24.42 thf(zip_derived_cl267, plain,
% 165.81/24.42 (((queue_92) = (store @ q20 @ seq @ earray_91))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp212])).
% 165.81/24.42 thf(hyp228, axiom, (( q20 ) = ( queue_88 ))).
% 165.81/24.42 thf(zip_derived_cl283, plain, (((q20) = (queue_88))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp228])).
% 165.81/24.42 thf(zip_derived_cl2216, plain,
% 165.81/24.42 (((queue_92) = (store @ queue_88 @ seq @ earray_91))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl267, zip_derived_cl283])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2218, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_92 @ X0) = (select @ queue_88 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2216, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6722, plain,
% 165.81/24.42 ((((index_95) = (select @ queue_88 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6721, zip_derived_cl2218])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl6723, plain, (((index_95) = (select @ queue_88 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6722, zip_derived_cl3])).
% 165.81/24.42 thf(hyp211, axiom, (( queue_88 ) = ( store @ queue_86 @ tail @ index_87 ))).
% 165.81/24.42 thf(zip_derived_cl266, plain,
% 165.81/24.42 (((queue_88) = (store @ queue_86 @ tail @ index_87))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp211])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2215, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_88 @ X0) = (select @ queue_86 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6724, plain,
% 165.81/24.42 ((((index_95) = (select @ queue_86 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6723, zip_derived_cl2215])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6725, plain, (((index_95) = (select @ queue_86 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6724, zip_derived_cl2])).
% 165.81/24.42 thf(hyp210, axiom, (( queue_86 ) = ( store @ q19 @ seq @ earray_85 ))).
% 165.81/24.42 thf(zip_derived_cl265, plain,
% 165.81/24.42 (((queue_86) = (store @ q19 @ seq @ earray_85))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp210])).
% 165.81/24.42 thf(hyp226, axiom, (( q19 ) = ( queue_76 ))).
% 165.81/24.42 thf(zip_derived_cl281, plain, (((q19) = (queue_76))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp226])).
% 165.81/24.42 thf(zip_derived_cl2211, plain,
% 165.81/24.42 (((queue_86) = (store @ queue_76 @ seq @ earray_85))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl265, zip_derived_cl281])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2213, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_86 @ X0) = (select @ queue_76 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2211, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6727, plain,
% 165.81/24.42 ((((index_95) = (select @ queue_76 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6725, zip_derived_cl2213])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl6728, plain, (((index_95) = (select @ queue_76 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6727, zip_derived_cl3])).
% 165.81/24.42 thf(hyp207, axiom, (( queue_76 ) = ( store @ queue_74 @ tail @ index_75 ))).
% 165.81/24.42 thf(zip_derived_cl262, plain,
% 165.81/24.42 (((queue_76) = (store @ queue_74 @ tail @ index_75))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp207])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2117, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_76 @ X0) = (select @ queue_74 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6729, plain,
% 165.81/24.42 ((((index_95) = (select @ queue_74 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6728, zip_derived_cl2117])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6730, plain, (((index_95) = (select @ queue_74 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6729, zip_derived_cl2])).
% 165.81/24.42 thf(hyp206, axiom, (( queue_74 ) = ( store @ q18 @ seq @ earray_73 ))).
% 165.81/24.42 thf(zip_derived_cl261, plain,
% 165.81/24.42 (((queue_74) = (store @ q18 @ seq @ earray_73))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp206])).
% 165.81/24.42 thf(hyp225, axiom, (( q18 ) = ( queue_70 ))).
% 165.81/24.42 thf(zip_derived_cl280, plain, (((q18) = (queue_70))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp225])).
% 165.81/24.42 thf(zip_derived_cl2113, plain,
% 165.81/24.42 (((queue_74) = (store @ queue_70 @ seq @ earray_73))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl261, zip_derived_cl280])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2115, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_74 @ X0) = (select @ queue_70 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2113, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6731, plain,
% 165.81/24.42 ((((index_95) = (select @ queue_70 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6730, zip_derived_cl2115])).
% 165.81/24.42 thf(hyp205, axiom, (( queue_70 ) = ( store @ queue_67 @ head @ index_69 ))).
% 165.81/24.42 thf(zip_derived_cl260, plain,
% 165.81/24.42 (((queue_70) = (store @ queue_67 @ head @ index_69))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp205])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2111, plain, (((select @ queue_70 @ head) = (index_69))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl6732, plain,
% 165.81/24.42 ((((index_95) = (index_69)) | ((seq) = (head)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl6731, zip_derived_cl2111])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl6733, plain, (((index_95) = (index_69))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6732, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl6735, plain, (((index_116) = (s @ index_69))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4179, zip_derived_cl6733])).
% 165.81/24.42 thf(hyp131, axiom, (( index_69 ) = ( s @ index_68 ))).
% 165.81/24.42 thf(zip_derived_cl186, plain, (((index_69) = (s @ index_68))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp131])).
% 165.81/24.42 thf(hyp203, axiom, (( queue_67 ) = ( store @ queue_65 @ tail @ index_66 ))).
% 165.81/24.42 thf(zip_derived_cl258, plain,
% 165.81/24.42 (((queue_67) = (store @ queue_65 @ tail @ index_66))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp203])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2108, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_67 @ X0) = (select @ queue_65 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl1])).
% 165.81/24.42 thf(hyp130, axiom, (( index_68 ) = ( select @ queue_67 @ head ))).
% 165.81/24.42 thf(zip_derived_cl185, plain, (((index_68) = (select @ queue_67 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp130])).
% 165.81/24.42 thf(zip_derived_cl6342, plain,
% 165.81/24.42 ((((index_68) = (select @ queue_65 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2108, zip_derived_cl185])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6344, plain, (((index_68) = (select @ queue_65 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6342, zip_derived_cl2])).
% 165.81/24.42 thf(hyp202, axiom, (( queue_65 ) = ( store @ q17 @ seq @ earray_64 ))).
% 165.81/24.42 thf(zip_derived_cl257, plain,
% 165.81/24.42 (((queue_65) = (store @ q17 @ seq @ earray_64))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp202])).
% 165.81/24.42 thf(hyp224, axiom, (( q17 ) = ( queue_61 ))).
% 165.81/24.42 thf(zip_derived_cl279, plain, (((q17) = (queue_61))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp224])).
% 165.81/24.42 thf(zip_derived_cl2049, plain,
% 165.81/24.42 (((queue_65) = (store @ queue_61 @ seq @ earray_64))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl279])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2051, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_65 @ X0) = (select @ queue_61 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2049, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6345, plain,
% 165.81/24.42 ((((index_68) = (select @ queue_61 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6344, zip_derived_cl2051])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl6346, plain, (((index_68) = (select @ queue_61 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6345, zip_derived_cl3])).
% 165.81/24.42 thf(hyp201, axiom, (( queue_61 ) = ( store @ queue_59 @ tail @ index_60 ))).
% 165.81/24.42 thf(zip_derived_cl256, plain,
% 165.81/24.42 (((queue_61) = (store @ queue_59 @ tail @ index_60))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp201])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2048, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_61 @ X0) = (select @ queue_59 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6347, plain,
% 165.81/24.42 ((((index_68) = (select @ queue_59 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6346, zip_derived_cl2048])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6348, plain, (((index_68) = (select @ queue_59 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6347, zip_derived_cl2])).
% 165.81/24.42 thf(hyp200, axiom, (( queue_59 ) = ( store @ q16 @ seq @ earray_58 ))).
% 165.81/24.42 thf(zip_derived_cl255, plain,
% 165.81/24.42 (((queue_59) = (store @ q16 @ seq @ earray_58))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp200])).
% 165.81/24.42 thf(hyp223, axiom, (( q16 ) = ( queue_55 ))).
% 165.81/24.42 thf(zip_derived_cl278, plain, (((q16) = (queue_55))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp223])).
% 165.81/24.42 thf(zip_derived_cl2044, plain,
% 165.81/24.42 (((queue_59) = (store @ queue_55 @ seq @ earray_58))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl255, zip_derived_cl278])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2046, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_59 @ X0) = (select @ queue_55 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2044, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6350, plain,
% 165.81/24.42 ((((index_68) = (select @ queue_55 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6348, zip_derived_cl2046])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl6351, plain, (((index_68) = (select @ queue_55 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6350, zip_derived_cl3])).
% 165.81/24.42 thf(hyp199, axiom, (( queue_55 ) = ( store @ queue_53 @ tail @ index_54 ))).
% 165.81/24.42 thf(zip_derived_cl254, plain,
% 165.81/24.42 (((queue_55) = (store @ queue_53 @ tail @ index_54))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp199])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2043, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_55 @ X0) = (select @ queue_53 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6352, plain,
% 165.81/24.42 ((((index_68) = (select @ queue_53 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6351, zip_derived_cl2043])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6353, plain, (((index_68) = (select @ queue_53 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6352, zip_derived_cl2])).
% 165.81/24.42 thf(hyp198, axiom, (( queue_53 ) = ( store @ q15 @ seq @ earray_52 ))).
% 165.81/24.42 thf(zip_derived_cl253, plain,
% 165.81/24.42 (((queue_53) = (store @ q15 @ seq @ earray_52))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp198])).
% 165.81/24.42 thf(hyp222, axiom, (( q15 ) = ( queue_49 ))).
% 165.81/24.42 thf(zip_derived_cl277, plain, (((q15) = (queue_49))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp222])).
% 165.81/24.42 thf(zip_derived_cl2039, plain,
% 165.81/24.42 (((queue_53) = (store @ queue_49 @ seq @ earray_52))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl277])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2041, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_53 @ X0) = (select @ queue_49 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2039, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6354, plain,
% 165.81/24.42 ((((index_68) = (select @ queue_49 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6353, zip_derived_cl2041])).
% 165.81/24.42 thf(hyp196, axiom, (( queue_49 ) = ( store @ queue_46 @ head @ index_48 ))).
% 165.81/24.42 thf(zip_derived_cl251, plain,
% 165.81/24.42 (((queue_49) = (store @ queue_46 @ head @ index_48))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp196])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1949, plain, (((select @ queue_49 @ head) = (index_48))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl6355, plain,
% 165.81/24.42 ((((index_68) = (index_48)) | ((seq) = (head)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl6354, zip_derived_cl1949])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl6356, plain, (((index_68) = (index_48))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6355, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl6358, plain, (((index_69) = (s @ index_48))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl6356])).
% 165.81/24.42 thf(hyp122, axiom, (( index_48 ) = ( s @ index_47 ))).
% 165.81/24.42 thf(zip_derived_cl177, plain, (((index_48) = (s @ index_47))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp122])).
% 165.81/24.42 thf(hyp195, axiom, (( queue_46 ) = ( store @ queue_44 @ tail @ index_45 ))).
% 165.81/24.42 thf(zip_derived_cl250, plain,
% 165.81/24.42 (((queue_46) = (store @ queue_44 @ tail @ index_45))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp195])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1948, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_46 @ X0) = (select @ queue_44 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 165.81/24.42 thf(hyp121, axiom, (( index_47 ) = ( select @ queue_46 @ head ))).
% 165.81/24.42 thf(zip_derived_cl176, plain, (((index_47) = (select @ queue_46 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp121])).
% 165.81/24.42 thf(zip_derived_cl6019, plain,
% 165.81/24.42 ((((index_47) = (select @ queue_44 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1948, zip_derived_cl176])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6021, plain, (((index_47) = (select @ queue_44 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6019, zip_derived_cl2])).
% 165.81/24.42 thf(hyp194, axiom, (( queue_44 ) = ( store @ q14 @ seq @ earray_43 ))).
% 165.81/24.42 thf(zip_derived_cl249, plain,
% 165.81/24.42 (((queue_44) = (store @ q14 @ seq @ earray_43))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp194])).
% 165.81/24.42 thf(hyp221, axiom, (( q14 ) = ( queue_40 ))).
% 165.81/24.42 thf(zip_derived_cl276, plain, (((q14) = (queue_40))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp221])).
% 165.81/24.42 thf(zip_derived_cl1944, plain,
% 165.81/24.42 (((queue_44) = (store @ queue_40 @ seq @ earray_43))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl249, zip_derived_cl276])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1946, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_44 @ X0) = (select @ queue_40 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1944, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6022, plain,
% 165.81/24.42 ((((index_47) = (select @ queue_40 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6021, zip_derived_cl1946])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl6023, plain, (((index_47) = (select @ queue_40 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6022, zip_derived_cl3])).
% 165.81/24.42 thf(hyp193, axiom, (( queue_40 ) = ( store @ queue_38 @ tail @ index_39 ))).
% 165.81/24.42 thf(zip_derived_cl248, plain,
% 165.81/24.42 (((queue_40) = (store @ queue_38 @ tail @ index_39))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp193])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1943, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_40 @ X0) = (select @ queue_38 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6024, plain,
% 165.81/24.42 ((((index_47) = (select @ queue_38 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6023, zip_derived_cl1943])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6025, plain, (((index_47) = (select @ queue_38 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6024, zip_derived_cl2])).
% 165.81/24.42 thf(hyp192, axiom, (( queue_38 ) = ( store @ q13 @ seq @ earray_37 ))).
% 165.81/24.42 thf(zip_derived_cl247, plain,
% 165.81/24.42 (((queue_38) = (store @ q13 @ seq @ earray_37))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp192])).
% 165.81/24.42 thf(hyp220, axiom, (( q13 ) = ( queue_34 ))).
% 165.81/24.42 thf(zip_derived_cl275, plain, (((q13) = (queue_34))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp220])).
% 165.81/24.42 thf(zip_derived_cl1939, plain,
% 165.81/24.42 (((queue_38) = (store @ queue_34 @ seq @ earray_37))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl275])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1941, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_38 @ X0) = (select @ queue_34 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1939, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6026, plain,
% 165.81/24.42 ((((index_47) = (select @ queue_34 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6025, zip_derived_cl1941])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl6027, plain, (((index_47) = (select @ queue_34 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6026, zip_derived_cl3])).
% 165.81/24.42 thf(hyp191, axiom, (( queue_34 ) = ( store @ queue_32 @ tail @ index_33 ))).
% 165.81/24.42 thf(zip_derived_cl246, plain,
% 165.81/24.42 (((queue_34) = (store @ queue_32 @ tail @ index_33))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp191])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1938, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_34 @ X0) = (select @ queue_32 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6028, plain,
% 165.81/24.42 ((((index_47) = (select @ queue_32 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6027, zip_derived_cl1938])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6029, plain, (((index_47) = (select @ queue_32 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6028, zip_derived_cl2])).
% 165.81/24.42 thf(hyp190, axiom, (( queue_32 ) = ( store @ q12 @ seq @ earray_31 ))).
% 165.81/24.42 thf(zip_derived_cl245, plain,
% 165.81/24.42 (((queue_32) = (store @ q12 @ seq @ earray_31))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp190])).
% 165.81/24.42 thf(hyp219, axiom, (( q12 ) = ( queue_28 ))).
% 165.81/24.42 thf(zip_derived_cl274, plain, (((q12) = (queue_28))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp219])).
% 165.81/24.42 thf(zip_derived_cl1849, plain,
% 165.81/24.42 (((queue_32) = (store @ queue_28 @ seq @ earray_31))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl245, zip_derived_cl274])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1851, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_32 @ X0) = (select @ queue_28 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1849, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6030, plain,
% 165.81/24.42 ((((index_47) = (select @ queue_28 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6029, zip_derived_cl1851])).
% 165.81/24.42 thf(hyp189, axiom, (( queue_28 ) = ( store @ queue_25 @ head @ index_27 ))).
% 165.81/24.42 thf(zip_derived_cl244, plain,
% 165.81/24.42 (((queue_28) = (store @ queue_25 @ head @ index_27))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp189])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1847, plain, (((select @ queue_28 @ head) = (index_27))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl6031, plain,
% 165.81/24.42 ((((index_47) = (index_27)) | ((seq) = (head)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl6030, zip_derived_cl1847])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl6032, plain, (((index_47) = (index_27))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6031, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl6034, plain, (((index_48) = (s @ index_27))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl6032])).
% 165.81/24.42 thf(hyp113, axiom, (( index_27 ) = ( s @ index_26 ))).
% 165.81/24.42 thf(zip_derived_cl168, plain, (((index_27) = (s @ index_26))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp113])).
% 165.81/24.42 thf(hyp188, axiom, (( queue_25 ) = ( store @ queue_23 @ tail @ index_24 ))).
% 165.81/24.42 thf(zip_derived_cl243, plain,
% 165.81/24.42 (((queue_25) = (store @ queue_23 @ tail @ index_24))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp188])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1846, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_25 @ X0) = (select @ queue_23 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl243, zip_derived_cl1])).
% 165.81/24.42 thf(hyp112, axiom, (( index_26 ) = ( select @ queue_25 @ head ))).
% 165.81/24.42 thf(zip_derived_cl167, plain, (((index_26) = (select @ queue_25 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp112])).
% 165.81/24.42 thf(zip_derived_cl5706, plain,
% 165.81/24.42 ((((index_26) = (select @ queue_23 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1846, zip_derived_cl167])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5708, plain, (((index_26) = (select @ queue_23 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5706, zip_derived_cl2])).
% 165.81/24.42 thf(hyp187, axiom, (( queue_23 ) = ( store @ q11 @ seq @ earray_22 ))).
% 165.81/24.42 thf(zip_derived_cl242, plain,
% 165.81/24.42 (((queue_23) = (store @ q11 @ seq @ earray_22))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp187])).
% 165.81/24.42 thf(hyp218, axiom, (( q11 ) = ( queue_19 ))).
% 165.81/24.42 thf(zip_derived_cl273, plain, (((q11) = (queue_19))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp218])).
% 165.81/24.42 thf(zip_derived_cl1842, plain,
% 165.81/24.42 (((queue_23) = (store @ queue_19 @ seq @ earray_22))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl273])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1844, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_23 @ X0) = (select @ queue_19 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1842, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5709, plain,
% 165.81/24.42 ((((index_26) = (select @ queue_19 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5708, zip_derived_cl1844])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl5710, plain, (((index_26) = (select @ queue_19 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5709, zip_derived_cl3])).
% 165.81/24.42 thf(hyp178, axiom, (( queue_19 ) = ( store @ queue_17 @ tail @ index_18 ))).
% 165.81/24.42 thf(zip_derived_cl233, plain,
% 165.81/24.42 (((queue_19) = (store @ queue_17 @ tail @ index_18))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp178])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1697, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_19 @ X0) = (select @ queue_17 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl233, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5711, plain,
% 165.81/24.42 ((((index_26) = (select @ queue_17 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5710, zip_derived_cl1697])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5712, plain, (((index_26) = (select @ queue_17 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5711, zip_derived_cl2])).
% 165.81/24.42 thf(hyp171, axiom, (( queue_17 ) = ( store @ q10 @ seq @ earray_16 ))).
% 165.81/24.42 thf(zip_derived_cl226, plain,
% 165.81/24.42 (((queue_17) = (store @ q10 @ seq @ earray_16))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp171])).
% 165.81/24.42 thf(zip_derived_cl272, plain, (((q10) = (queue_13))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp217])).
% 165.81/24.42 thf(zip_derived_cl1575, plain,
% 165.81/24.42 (((queue_17) = (store @ queue_13 @ seq @ earray_16))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl226, zip_derived_cl272])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1577, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_17 @ X0) = (select @ queue_13 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1575, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5714, plain,
% 165.81/24.42 ((((index_26) = (select @ queue_13 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5712, zip_derived_cl1577])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl5715, plain, (((index_26) = (select @ queue_13 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5714, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl211, plain,
% 165.81/24.42 (((queue_13) = (store @ queue_11 @ tail @ index_12))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp156])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1416, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_13 @ X0) = (select @ queue_11 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5716, plain,
% 165.81/24.42 ((((index_26) = (select @ queue_11 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5715, zip_derived_cl1416])).
% 165.81/24.42 thf(zip_derived_cl241, plain,
% 165.81/24.42 (((queue_211) = (store @ queue_208 @ head @ index_210))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp186])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1840, plain, (((select @ queue_211 @ head) = (index_210))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl241, zip_derived_cl0])).
% 165.81/24.42 thf(hyp149, axiom, (( queue_11 ) = ( store @ q9 @ seq @ earray_10 ))).
% 165.81/24.42 thf(zip_derived_cl204, plain,
% 165.81/24.42 (((queue_11) = (store @ q9 @ seq @ earray_10))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp149])).
% 165.81/24.42 thf(zip_derived_cl300, plain, (((q9) = (queue_211))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp245])).
% 165.81/24.42 thf(zip_derived_cl1357, plain,
% 165.81/24.42 (((queue_11) = (store @ queue_211 @ seq @ earray_10))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl300])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1359, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_11 @ X0) = (select @ queue_211 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1357, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4153, plain,
% 165.81/24.42 ((((select @ queue_11 @ head) = (index_210)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1840, zip_derived_cl1359])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4154, plain, (((select @ queue_11 @ head) = (index_210))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4153, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl5717, plain,
% 165.81/24.42 ((((index_26) = (index_210)) | ((tail) = (head)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl5716, zip_derived_cl4154])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5718, plain, (((index_26) = (index_210))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5717, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl5720, plain, (((index_27) = (s @ index_210))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl5718])).
% 165.81/24.42 thf(hyp85, axiom, (( index_156 ) = ( s @ index_153 ))).
% 165.81/24.42 thf(zip_derived_cl140, plain, (((index_156) = (s @ index_153))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp85])).
% 165.81/24.42 thf(hyp84, axiom, (( index_153 ) = ( select @ q2 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl139, plain, (((index_153) = (select @ q2 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp84])).
% 165.81/24.42 thf(hyp227, axiom, (( q2 ) = ( queue_82 ))).
% 165.81/24.42 thf(zip_derived_cl282, plain, (((q2) = (queue_82))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp227])).
% 165.81/24.42 thf(zip_derived_cl782, plain, (((index_153) = (select @ queue_82 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl282])).
% 165.81/24.42 thf(hyp209, axiom, (( queue_82 ) = ( store @ queue_80 @ tail @ index_81 ))).
% 165.81/24.42 thf(zip_derived_cl264, plain,
% 165.81/24.42 (((queue_82) = (store @ queue_80 @ tail @ index_81))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp209])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2209, plain, (((select @ queue_82 @ tail) = (index_81))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl264, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3774, plain, (((index_153) = (index_81))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl782, zip_derived_cl2209])).
% 165.81/24.42 thf(zip_derived_cl3776, plain, (((index_156) = (s @ index_81))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl3774])).
% 165.81/24.42 thf(hyp135, axiom, (( index_81 ) = ( s @ index_78 ))).
% 165.81/24.42 thf(zip_derived_cl190, plain, (((index_81) = (s @ index_78))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp135])).
% 165.81/24.42 thf(hyp134, axiom, (( index_78 ) = ( select @ q1 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl189, plain, (((index_78) = (select @ q1 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp134])).
% 165.81/24.42 thf(hyp216, axiom, (( q1 ) = ( queue_7 ))).
% 165.81/24.42 thf(zip_derived_cl271, plain, (((q1) = (queue_7))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp216])).
% 165.81/24.42 thf(zip_derived_cl920, plain, (((index_78) = (select @ queue_7 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl271])).
% 165.81/24.42 thf(hyp204, axiom, (( queue_7 ) = ( store @ queue_5 @ tail @ index_6 ))).
% 165.81/24.42 thf(zip_derived_cl259, plain,
% 165.81/24.42 (((queue_7) = (store @ queue_5 @ tail @ index_6))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp204])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2109, plain, (((select @ queue_7 @ tail) = (index_6))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3648, plain, (((index_78) = (index_6))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl920, zip_derived_cl2109])).
% 165.81/24.42 thf(zip_derived_cl3651, plain, (((index_81) = (s @ index_6))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl190, zip_derived_cl3648])).
% 165.81/24.42 thf(hyp87, axiom, (( index_159 ) = ( s @ index_158 ))).
% 165.81/24.42 thf(zip_derived_cl142, plain, (((index_159) = (s @ index_158))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp87])).
% 165.81/24.42 thf(zip_derived_cl264, plain,
% 165.81/24.42 (((queue_82) = (store @ queue_80 @ tail @ index_81))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp209])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2210, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_82 @ X0) = (select @ queue_80 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl264, zip_derived_cl1])).
% 165.81/24.42 thf(hyp165, axiom, (( queue_155 ) = ( store @ q2 @ seq @ earray_154 ))).
% 165.81/24.42 thf(zip_derived_cl220, plain,
% 165.81/24.42 (((queue_155) = (store @ q2 @ seq @ earray_154))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp165])).
% 165.81/24.42 thf(zip_derived_cl282, plain, (((q2) = (queue_82))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp227])).
% 165.81/24.42 thf(zip_derived_cl1484, plain,
% 165.81/24.42 (((queue_155) = (store @ queue_82 @ seq @ earray_154))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl282])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1486, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_155 @ X0) = (select @ queue_82 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1484, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl6682, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_155 @ X0) = (select @ queue_80 @ X0))
% 165.81/24.42 | ((tail) = (X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2210, zip_derived_cl1486])).
% 165.81/24.42 thf(hyp208, axiom, (( queue_80 ) = ( store @ q1 @ seq @ earray_79 ))).
% 165.81/24.42 thf(zip_derived_cl263, plain,
% 165.81/24.42 (((queue_80) = (store @ q1 @ seq @ earray_79))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp208])).
% 165.81/24.42 thf(zip_derived_cl271, plain, (((q1) = (queue_7))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp216])).
% 165.81/24.42 thf(zip_derived_cl2118, plain,
% 165.81/24.42 (((queue_80) = (store @ queue_7 @ seq @ earray_79))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl263, zip_derived_cl271])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2120, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_80 @ X0) = (select @ queue_7 @ X0)) | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2118, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl7378, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_155 @ X0) = (select @ queue_7 @ X0))
% 165.81/24.42 | ((seq) = (X0))
% 165.81/24.42 | ((tail) = (X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl6682, zip_derived_cl2120])).
% 165.81/24.42 thf(zip_derived_cl7381, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((tail) = (X0))
% 165.81/24.42 | ((seq) = (X0))
% 165.81/24.42 | ((select @ queue_155 @ X0) = (select @ queue_7 @ X0)))),
% 165.81/24.42 inference('simplify', [status(thm)], [zip_derived_cl7378])).
% 165.81/24.42 thf(zip_derived_cl259, plain,
% 165.81/24.42 (((queue_7) = (store @ queue_5 @ tail @ index_6))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp204])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2110, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_7 @ X0) = (select @ queue_5 @ X0)) | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl7444, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_155 @ X0) = (select @ queue_5 @ X0))
% 165.81/24.42 | ((seq) = (X0))
% 165.81/24.42 | ((tail) = (X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl7381, zip_derived_cl2110])).
% 165.81/24.42 thf(zip_derived_cl7447, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((tail) = (X0))
% 165.81/24.42 | ((seq) = (X0))
% 165.81/24.42 | ((select @ queue_155 @ X0) = (select @ queue_5 @ X0)))),
% 165.81/24.42 inference('simplify', [status(thm)], [zip_derived_cl7444])).
% 165.81/24.42 thf(hyp197, axiom, (( queue_5 ) = ( store @ q0 @ seq @ earray_4 ))).
% 165.81/24.42 thf(zip_derived_cl252, plain, (((queue_5) = (store @ q0 @ seq @ earray_4))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp197])).
% 165.81/24.42 thf(hyp215, axiom, (( q0 ) = ( queue_1 ))).
% 165.81/24.42 thf(zip_derived_cl270, plain, (((q0) = (queue_1))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp215])).
% 165.81/24.42 thf(zip_derived_cl2036, plain,
% 165.81/24.42 (((queue_5) = (store @ queue_1 @ seq @ earray_4))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl252, zip_derived_cl270])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2038, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_5 @ X0) = (select @ queue_1 @ X0)) | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2036, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl7456, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_155 @ X0) = (select @ queue_1 @ X0))
% 165.81/24.42 | ((seq) = (X0))
% 165.81/24.42 | ((tail) = (X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl7447, zip_derived_cl2038])).
% 165.81/24.42 thf(zip_derived_cl7458, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((tail) = (X0))
% 165.81/24.42 | ((seq) = (X0))
% 165.81/24.42 | ((select @ queue_155 @ X0) = (select @ queue_1 @ X0)))),
% 165.81/24.42 inference('simplify', [status(thm)], [zip_derived_cl7456])).
% 165.81/24.42 thf(hyp166, axiom,
% 165.81/24.42 (( queue_157 ) = ( store @ queue_155 @ tail @ index_156 ))).
% 165.81/24.42 thf(zip_derived_cl221, plain,
% 165.81/24.42 (((queue_157) = (store @ queue_155 @ tail @ index_156))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp166])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1488, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_157 @ X0) = (select @ queue_155 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl221, zip_derived_cl1])).
% 165.81/24.42 thf(hyp86, axiom, (( index_158 ) = ( select @ queue_157 @ head ))).
% 165.81/24.42 thf(zip_derived_cl141, plain, (((index_158) = (select @ queue_157 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp86])).
% 165.81/24.42 thf(zip_derived_cl4793, plain,
% 165.81/24.42 ((((index_158) = (select @ queue_155 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1488, zip_derived_cl141])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4795, plain, (((index_158) = (select @ queue_155 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4793, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl7461, plain,
% 165.81/24.42 ((((index_158) = (select @ queue_1 @ head))
% 165.81/24.42 | ((seq) = (head))
% 165.81/24.42 | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl7458, zip_derived_cl4795])).
% 165.81/24.42 thf(hyp144, axiom, (( queue_1 ) = ( store @ q @ head @ index_0 ))).
% 165.81/24.42 thf(zip_derived_cl199, plain, (((queue_1) = (store @ q @ head @ index_0))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp144])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1305, plain, (((select @ queue_1 @ head) = (index_0))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl7464, plain,
% 165.81/24.42 ((((index_158) = (index_0)) | ((seq) = (head)) | ((tail) = (head)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl7461, zip_derived_cl1305])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl7465, plain, (((index_158) = (index_0))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl7464, zip_derived_cl2, zip_derived_cl3])).
% 165.81/24.42 thf(hyp126, axiom, (( index_6 ) = ( s @ index_3 ))).
% 165.81/24.42 thf(zip_derived_cl181, plain, (((index_6) = (s @ index_3))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp126])).
% 165.81/24.42 thf(hyp114, axiom, (( index_3 ) = ( select @ q0 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl169, plain, (((index_3) = (select @ q0 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp114])).
% 165.81/24.42 thf(zip_derived_cl270, plain, (((q0) = (queue_1))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp215])).
% 165.81/24.42 thf(zip_derived_cl872, plain, (((index_3) = (select @ queue_1 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl169, zip_derived_cl270])).
% 165.81/24.42 thf(zip_derived_cl199, plain, (((queue_1) = (store @ q @ head @ index_0))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp144])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1306, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_1 @ X0) = (select @ q @ X0)) | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl1])).
% 165.81/24.42 thf(hyp62, axiom, (( index_0 ) = ( select @ q @ tail ))).
% 165.81/24.42 thf(zip_derived_cl117, plain, (((index_0) = (select @ q @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp62])).
% 165.81/24.42 thf(zip_derived_cl3997, plain,
% 165.81/24.42 ((((index_0) = (select @ queue_1 @ tail)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1306, zip_derived_cl117])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl3998, plain, (((index_0) = (select @ queue_1 @ tail))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl3997, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl4000, plain, (((index_3) = (index_0))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl872, zip_derived_cl3998])).
% 165.81/24.42 thf(zip_derived_cl4002, plain, (((index_6) = (s @ index_0))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl4000])).
% 165.81/24.42 thf(zip_derived_cl7470, plain, (((index_159) = (index_6))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl142, zip_derived_cl7465, zip_derived_cl4002])).
% 165.81/24.42 thf(hyp100, axiom, (( index_189 ) = ( s @ index_188 ))).
% 165.81/24.42 thf(zip_derived_cl155, plain, (((index_189) = (s @ index_188))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp100])).
% 165.81/24.42 thf(hyp177, axiom,
% 165.81/24.42 (( queue_187 ) = ( store @ queue_185 @ tail @ index_186 ))).
% 165.81/24.42 thf(zip_derived_cl232, plain,
% 165.81/24.42 (((queue_187) = (store @ queue_185 @ tail @ index_186))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp177])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1695, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_187 @ X0) = (select @ queue_185 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl1])).
% 165.81/24.42 thf(hyp99, axiom, (( index_188 ) = ( select @ queue_187 @ head ))).
% 165.81/24.42 thf(zip_derived_cl154, plain, (((index_188) = (select @ queue_187 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp99])).
% 165.81/24.42 thf(zip_derived_cl5106, plain,
% 165.81/24.42 ((((index_188) = (select @ queue_185 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1695, zip_derived_cl154])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5108, plain, (((index_188) = (select @ queue_185 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5106, zip_derived_cl2])).
% 165.81/24.42 thf(hyp176, axiom, (( queue_185 ) = ( store @ q5 @ seq @ earray_184 ))).
% 165.81/24.42 thf(zip_derived_cl231, plain,
% 165.81/24.42 (((queue_185) = (store @ q5 @ seq @ earray_184))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp176])).
% 165.81/24.42 thf(hyp241, axiom, (( q5 ) = ( queue_181 ))).
% 165.81/24.42 thf(zip_derived_cl296, plain, (((q5) = (queue_181))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp241])).
% 165.81/24.42 thf(zip_derived_cl1691, plain,
% 165.81/24.42 (((queue_185) = (store @ queue_181 @ seq @ earray_184))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl231, zip_derived_cl296])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1693, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_185 @ X0) = (select @ queue_181 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1691, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5109, plain,
% 165.81/24.42 ((((index_188) = (select @ queue_181 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5108, zip_derived_cl1693])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl5110, plain, (((index_188) = (select @ queue_181 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5109, zip_derived_cl3])).
% 165.81/24.42 thf(hyp175, axiom,
% 165.81/24.42 (( queue_181 ) = ( store @ queue_179 @ tail @ index_180 ))).
% 165.81/24.42 thf(zip_derived_cl230, plain,
% 165.81/24.42 (((queue_181) = (store @ queue_179 @ tail @ index_180))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp175])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1690, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_181 @ X0) = (select @ queue_179 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5111, plain,
% 165.81/24.42 ((((index_188) = (select @ queue_179 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5110, zip_derived_cl1690])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5112, plain, (((index_188) = (select @ queue_179 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5111, zip_derived_cl2])).
% 165.81/24.42 thf(hyp174, axiom, (( queue_179 ) = ( store @ q4 @ seq @ earray_178 ))).
% 165.81/24.42 thf(zip_derived_cl229, plain,
% 165.81/24.42 (((queue_179) = (store @ q4 @ seq @ earray_178))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp174])).
% 165.81/24.42 thf(hyp240, axiom, (( q4 ) = ( queue_175 ))).
% 165.81/24.42 thf(zip_derived_cl295, plain, (((q4) = (queue_175))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp240])).
% 165.81/24.42 thf(zip_derived_cl1686, plain,
% 165.81/24.42 (((queue_179) = (store @ queue_175 @ seq @ earray_178))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl295])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1688, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_179 @ X0) = (select @ queue_175 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1686, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5114, plain,
% 165.81/24.42 ((((index_188) = (select @ queue_175 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5112, zip_derived_cl1688])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl5115, plain, (((index_188) = (select @ queue_175 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5114, zip_derived_cl3])).
% 165.81/24.42 thf(hyp173, axiom,
% 165.81/24.42 (( queue_175 ) = ( store @ queue_173 @ tail @ index_174 ))).
% 165.81/24.42 thf(zip_derived_cl228, plain,
% 165.81/24.42 (((queue_175) = (store @ queue_173 @ tail @ index_174))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp173])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1685, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_175 @ X0) = (select @ queue_173 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5116, plain,
% 165.81/24.42 ((((index_188) = (select @ queue_173 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5115, zip_derived_cl1685])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5117, plain, (((index_188) = (select @ queue_173 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5116, zip_derived_cl2])).
% 165.81/24.42 thf(hyp172, axiom, (( queue_173 ) = ( store @ q3 @ seq @ earray_172 ))).
% 165.81/24.42 thf(zip_derived_cl227, plain,
% 165.81/24.42 (((queue_173) = (store @ q3 @ seq @ earray_172))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp172])).
% 165.81/24.42 thf(hyp238, axiom, (( q3 ) = ( queue_160 ))).
% 165.81/24.42 thf(zip_derived_cl293, plain, (((q3) = (queue_160))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp238])).
% 165.81/24.42 thf(zip_derived_cl1578, plain,
% 165.81/24.42 (((queue_173) = (store @ queue_160 @ seq @ earray_172))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl227, zip_derived_cl293])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1580, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_173 @ X0) = (select @ queue_160 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1578, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5118, plain,
% 165.81/24.42 ((((index_188) = (select @ queue_160 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5117, zip_derived_cl1580])).
% 165.81/24.42 thf(hyp167, axiom,
% 165.81/24.42 (( queue_160 ) = ( store @ queue_157 @ head @ index_159 ))).
% 165.81/24.42 thf(zip_derived_cl222, plain,
% 165.81/24.42 (((queue_160) = (store @ queue_157 @ head @ index_159))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp167])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1565, plain, (((select @ queue_160 @ head) = (index_159))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl5119, plain,
% 165.81/24.42 ((((index_188) = (index_159)) | ((seq) = (head)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl5118, zip_derived_cl1565])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl5120, plain, (((index_188) = (index_159))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5119, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl5122, plain, (((index_189) = (s @ index_159))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl155, zip_derived_cl5120])).
% 165.81/24.42 thf(zip_derived_cl7497, plain, (((index_81) = (index_189))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl3651, zip_derived_cl7470, zip_derived_cl5122])).
% 165.81/24.42 thf(hyp109, axiom, (( index_210 ) = ( s @ index_209 ))).
% 165.81/24.42 thf(zip_derived_cl164, plain, (((index_210) = (s @ index_209))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp109])).
% 165.81/24.42 thf(zip_derived_cl240, plain,
% 165.81/24.42 (((queue_208) = (store @ queue_206 @ tail @ index_207))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp185])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1839, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_208 @ X0) = (select @ queue_206 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl240, zip_derived_cl1])).
% 165.81/24.42 thf(hyp107, axiom, (( index_209 ) = ( select @ queue_208 @ head ))).
% 165.81/24.42 thf(zip_derived_cl162, plain, (((index_209) = (select @ queue_208 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp107])).
% 165.81/24.42 thf(zip_derived_cl5416, plain,
% 165.81/24.42 ((((index_209) = (select @ queue_206 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1839, zip_derived_cl162])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5418, plain, (((index_209) = (select @ queue_206 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5416, zip_derived_cl2])).
% 165.81/24.42 thf(hyp184, axiom, (( queue_206 ) = ( store @ q8 @ seq @ earray_205 ))).
% 165.81/24.42 thf(zip_derived_cl239, plain,
% 165.81/24.42 (((queue_206) = (store @ q8 @ seq @ earray_205))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp184])).
% 165.81/24.42 thf(zip_derived_cl299, plain, (((q8) = (queue_202))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp244])).
% 165.81/24.42 thf(zip_derived_cl1753, plain,
% 165.81/24.42 (((queue_206) = (store @ queue_202 @ seq @ earray_205))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl299])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1755, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_206 @ X0) = (select @ queue_202 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1753, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5419, plain,
% 165.81/24.42 ((((index_209) = (select @ queue_202 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5418, zip_derived_cl1755])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl5420, plain, (((index_209) = (select @ queue_202 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5419, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl238, plain,
% 165.81/24.42 (((queue_202) = (store @ queue_200 @ tail @ index_201))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp183])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1752, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_202 @ X0) = (select @ queue_200 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5421, plain,
% 165.81/24.42 ((((index_209) = (select @ queue_200 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5420, zip_derived_cl1752])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5422, plain, (((index_209) = (select @ queue_200 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5421, zip_derived_cl2])).
% 165.81/24.42 thf(hyp182, axiom, (( queue_200 ) = ( store @ q7 @ seq @ earray_199 ))).
% 165.81/24.42 thf(zip_derived_cl237, plain,
% 165.81/24.42 (((queue_200) = (store @ q7 @ seq @ earray_199))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp182])).
% 165.81/24.42 thf(zip_derived_cl298, plain, (((q7) = (queue_196))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp243])).
% 165.81/24.42 thf(zip_derived_cl1748, plain,
% 165.81/24.42 (((queue_200) = (store @ queue_196 @ seq @ earray_199))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl298])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1750, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_200 @ X0) = (select @ queue_196 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1748, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5423, plain,
% 165.81/24.42 ((((index_209) = (select @ queue_196 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5422, zip_derived_cl1750])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl5424, plain, (((index_209) = (select @ queue_196 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5423, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl236, plain,
% 165.81/24.42 (((queue_196) = (store @ queue_194 @ tail @ index_195))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp181])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1747, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_196 @ X0) = (select @ queue_194 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl236, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5425, plain,
% 165.81/24.42 ((((index_209) = (select @ queue_194 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5424, zip_derived_cl1747])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5426, plain, (((index_209) = (select @ queue_194 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5425, zip_derived_cl2])).
% 165.81/24.42 thf(hyp180, axiom, (( queue_194 ) = ( store @ q6 @ seq @ earray_193 ))).
% 165.81/24.42 thf(zip_derived_cl235, plain,
% 165.81/24.42 (((queue_194) = (store @ q6 @ seq @ earray_193))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp180])).
% 165.81/24.42 thf(hyp242, axiom, (( q6 ) = ( queue_190 ))).
% 165.81/24.42 thf(zip_derived_cl297, plain, (((q6) = (queue_190))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp242])).
% 165.81/24.42 thf(zip_derived_cl1743, plain,
% 165.81/24.42 (((queue_194) = (store @ queue_190 @ seq @ earray_193))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl297])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1745, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_194 @ X0) = (select @ queue_190 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1743, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl5427, plain,
% 165.81/24.42 ((((index_209) = (select @ queue_190 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl5426, zip_derived_cl1745])).
% 165.81/24.42 thf(hyp179, axiom,
% 165.81/24.42 (( queue_190 ) = ( store @ queue_187 @ head @ index_189 ))).
% 165.81/24.42 thf(zip_derived_cl234, plain,
% 165.81/24.42 (((queue_190) = (store @ queue_187 @ head @ index_189))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp179])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1741, plain, (((select @ queue_190 @ head) = (index_189))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl5428, plain,
% 165.81/24.42 ((((index_209) = (index_189)) | ((seq) = (head)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl5427, zip_derived_cl1741])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl5429, plain, (((index_209) = (index_189))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5428, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl5431, plain, (((index_210) = (s @ index_189))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl164, zip_derived_cl5429])).
% 165.81/24.42 thf(zip_derived_cl7521, plain, (((index_156) = (index_210))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl3776, zip_derived_cl7497, zip_derived_cl5431])).
% 165.81/24.42 thf(hyp93, axiom, (( index_174 ) = ( s @ index_171 ))).
% 165.81/24.42 thf(zip_derived_cl148, plain, (((index_174) = (s @ index_171))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp93])).
% 165.81/24.42 thf(hyp92, axiom, (( index_171 ) = ( select @ q3 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl147, plain, (((index_171) = (select @ q3 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp92])).
% 165.81/24.42 thf(zip_derived_cl293, plain, (((q3) = (queue_160))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp238])).
% 165.81/24.42 thf(zip_derived_cl824, plain, (((index_171) = (select @ queue_160 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl293])).
% 165.81/24.42 thf(zip_derived_cl222, plain,
% 165.81/24.42 (((queue_160) = (store @ queue_157 @ head @ index_159))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp167])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1566, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_160 @ X0) = (select @ queue_157 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl221, plain,
% 165.81/24.42 (((queue_157) = (store @ queue_155 @ tail @ index_156))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp166])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1487, plain, (((select @ queue_157 @ tail) = (index_156))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl221, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl4804, plain,
% 165.81/24.42 ((((select @ queue_160 @ tail) = (index_156)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1566, zip_derived_cl1487])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4805, plain, (((select @ queue_160 @ tail) = (index_156))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4804, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl4806, plain, (((index_171) = (index_156))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl824, zip_derived_cl4805])).
% 165.81/24.42 thf(zip_derived_cl4808, plain, (((index_174) = (s @ index_156))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl148, zip_derived_cl4806])).
% 165.81/24.42 thf(zip_derived_cl7547, plain, (((index_27) = (index_174))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl5720, zip_derived_cl7521, zip_derived_cl4808])).
% 165.81/24.42 thf(hyp96, axiom, (( index_180 ) = ( s @ index_177 ))).
% 165.81/24.42 thf(zip_derived_cl151, plain, (((index_180) = (s @ index_177))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp96])).
% 165.81/24.42 thf(hyp94, axiom, (( index_177 ) = ( select @ q4 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl149, plain, (((index_177) = (select @ q4 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp94])).
% 165.81/24.42 thf(zip_derived_cl295, plain, (((q4) = (queue_175))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp240])).
% 165.81/24.42 thf(zip_derived_cl825, plain, (((index_177) = (select @ queue_175 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl295])).
% 165.81/24.42 thf(zip_derived_cl228, plain,
% 165.81/24.42 (((queue_175) = (store @ queue_173 @ tail @ index_174))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp173])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1684, plain, (((select @ queue_175 @ tail) = (index_174))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl2919, plain, (((index_177) = (index_174))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl825, zip_derived_cl1684])).
% 165.81/24.42 thf(zip_derived_cl2921, plain, (((index_180) = (s @ index_174))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl2919])).
% 165.81/24.42 thf(zip_derived_cl7572, plain, (((index_48) = (index_180))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl6034, zip_derived_cl7547, zip_derived_cl2921])).
% 165.81/24.42 thf(hyp98, axiom, (( index_186 ) = ( s @ index_183 ))).
% 165.81/24.42 thf(zip_derived_cl153, plain, (((index_186) = (s @ index_183))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp98])).
% 165.81/24.42 thf(hyp97, axiom, (( index_183 ) = ( select @ q5 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl152, plain, (((index_183) = (select @ q5 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp97])).
% 165.81/24.42 thf(zip_derived_cl296, plain, (((q5) = (queue_181))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp241])).
% 165.81/24.42 thf(zip_derived_cl826, plain, (((index_183) = (select @ queue_181 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl296])).
% 165.81/24.42 thf(zip_derived_cl230, plain,
% 165.81/24.42 (((queue_181) = (store @ queue_179 @ tail @ index_180))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp175])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1689, plain, (((select @ queue_181 @ tail) = (index_180))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3121, plain, (((index_183) = (index_180))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl826, zip_derived_cl1689])).
% 165.81/24.42 thf(zip_derived_cl3123, plain, (((index_186) = (s @ index_180))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl3121])).
% 165.81/24.42 thf(zip_derived_cl7597, plain, (((index_69) = (index_186))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl6358, zip_derived_cl7572, zip_derived_cl3123])).
% 165.81/24.42 thf(hyp102, axiom, (( index_195 ) = ( s @ index_192 ))).
% 165.81/24.42 thf(zip_derived_cl157, plain, (((index_195) = (s @ index_192))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp102])).
% 165.81/24.42 thf(hyp101, axiom, (( index_192 ) = ( select @ q6 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl156, plain, (((index_192) = (select @ q6 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp101])).
% 165.81/24.42 thf(zip_derived_cl297, plain, (((q6) = (queue_190))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp242])).
% 165.81/24.42 thf(zip_derived_cl827, plain, (((index_192) = (select @ queue_190 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl297])).
% 165.81/24.42 thf(zip_derived_cl234, plain,
% 165.81/24.42 (((queue_190) = (store @ queue_187 @ head @ index_189))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp179])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1742, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_190 @ X0) = (select @ queue_187 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl232, plain,
% 165.81/24.42 (((queue_187) = (store @ queue_185 @ tail @ index_186))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp177])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1694, plain, (((select @ queue_187 @ tail) = (index_186))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl5226, plain,
% 165.81/24.42 ((((select @ queue_190 @ tail) = (index_186)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1742, zip_derived_cl1694])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5228, plain, (((select @ queue_190 @ tail) = (index_186))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5226, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl5229, plain, (((index_192) = (index_186))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl827, zip_derived_cl5228])).
% 165.81/24.42 thf(zip_derived_cl5231, plain, (((index_195) = (s @ index_186))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl157, zip_derived_cl5229])).
% 165.81/24.42 thf(zip_derived_cl7623, plain, (((index_116) = (index_195))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl6735, zip_derived_cl7597, zip_derived_cl5231])).
% 165.81/24.42 thf(hyp69, axiom, (( index_117 ) = ( s @ index_116 ))).
% 165.81/24.42 thf(zip_derived_cl124, plain, (((index_117) = (s @ index_116))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp69])).
% 165.81/24.42 thf(zip_derived_cl7648, plain, (((index_201) = (index_117))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl3250, zip_derived_cl7623, zip_derived_cl124])).
% 165.81/24.42 thf(hyp78, axiom, (( index_138 ) = ( s @ index_137 ))).
% 165.81/24.42 thf(zip_derived_cl133, plain, (((index_138) = (s @ index_137))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp78])).
% 165.81/24.42 thf(zip_derived_cl1423, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_136 @ X0) = (select @ queue_134 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 165.81/24.42 thf(hyp77, axiom, (( index_137 ) = ( select @ queue_136 @ head ))).
% 165.81/24.42 thf(zip_derived_cl132, plain, (((index_137) = (select @ queue_136 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp77])).
% 165.81/24.42 thf(zip_derived_cl4486, plain,
% 165.81/24.42 ((((index_137) = (select @ queue_134 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1423, zip_derived_cl132])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4488, plain, (((index_137) = (select @ queue_134 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4486, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl1419, plain,
% 165.81/24.42 (((queue_134) = (store @ queue_130 @ seq @ earray_133))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl289])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1421, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_134 @ X0) = (select @ queue_130 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1419, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4489, plain,
% 165.81/24.42 ((((index_137) = (select @ queue_130 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4488, zip_derived_cl1421])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4490, plain, (((index_137) = (select @ queue_130 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4489, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl1418, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_130 @ X0) = (select @ queue_128 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4491, plain,
% 165.81/24.42 ((((index_137) = (select @ queue_128 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4490, zip_derived_cl1418])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4492, plain, (((index_137) = (select @ queue_128 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4491, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl1412, plain,
% 165.81/24.42 (((queue_128) = (store @ queue_124 @ seq @ earray_127))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl288])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1414, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_128 @ X0) = (select @ queue_124 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1412, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4493, plain,
% 165.81/24.42 ((((index_137) = (select @ queue_124 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4492, zip_derived_cl1414])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4494, plain, (((index_137) = (select @ queue_124 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4493, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl1371, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_124 @ X0) = (select @ queue_122 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4495, plain,
% 165.81/24.42 ((((index_137) = (select @ queue_122 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4494, zip_derived_cl1371])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4496, plain, (((index_137) = (select @ queue_122 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4495, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl1367, plain,
% 165.81/24.42 (((queue_122) = (store @ queue_118 @ seq @ earray_121))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl208, zip_derived_cl287])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1369, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_122 @ X0) = (select @ queue_118 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1367, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4497, plain,
% 165.81/24.42 ((((index_137) = (select @ queue_118 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4496, zip_derived_cl1369])).
% 165.81/24.42 thf(hyp152, axiom,
% 165.81/24.42 (( queue_118 ) = ( store @ queue_115 @ head @ index_117 ))).
% 165.81/24.42 thf(zip_derived_cl207, plain,
% 165.81/24.42 (((queue_118) = (store @ queue_115 @ head @ index_117))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp152])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1365, plain, (((select @ queue_118 @ head) = (index_117))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl4498, plain,
% 165.81/24.42 ((((index_137) = (index_117)) | ((seq) = (head)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4497, zip_derived_cl1365])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4499, plain, (((index_137) = (index_117))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4498, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl4501, plain, (((index_138) = (s @ index_117))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl4499])).
% 165.81/24.42 thf(zip_derived_cl7684, plain, (((index_207) = (index_138))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl3312, zip_derived_cl7648, zip_derived_cl4501])).
% 165.81/24.42 thf(hyp91, axiom, (( index_168 ) = ( s @ index_167 ))).
% 165.81/24.42 thf(zip_derived_cl146, plain, (((index_168) = (s @ index_167))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp91])).
% 165.81/24.42 thf(zip_derived_cl1574, plain, (((index_213) = (index_168))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl1572, zip_derived_cl871])).
% 165.81/24.42 thf(zip_derived_cl1581, plain, (((index_213) = (s @ index_167))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl1574])).
% 165.81/24.42 thf(zip_derived_cl1571, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_166 @ X0) = (select @ queue_164 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl1])).
% 165.81/24.42 thf(hyp90, axiom, (( index_167 ) = ( select @ queue_166 @ head ))).
% 165.81/24.42 thf(zip_derived_cl145, plain, (((index_167) = (select @ queue_166 @ head))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp90])).
% 165.81/24.42 thf(zip_derived_cl4949, plain,
% 165.81/24.42 ((((index_167) = (select @ queue_164 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1571, zip_derived_cl145])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4951, plain, (((index_167) = (select @ queue_164 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4949, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl1567, plain,
% 165.81/24.42 (((queue_164) = (store @ queue_151 @ seq @ earray_163))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl223, zip_derived_cl292])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1569, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_164 @ X0) = (select @ queue_151 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1567, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4952, plain,
% 165.81/24.42 ((((index_167) = (select @ queue_151 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4951, zip_derived_cl1569])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4953, plain, (((index_167) = (select @ queue_151 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4952, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl1483, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_151 @ X0) = (select @ queue_149 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl219, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4955, plain,
% 165.81/24.42 ((((index_167) = (select @ queue_149 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4953, zip_derived_cl1483])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4956, plain, (((index_167) = (select @ queue_149 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4955, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl1479, plain,
% 165.81/24.42 (((queue_149) = (store @ queue_145 @ seq @ earray_148))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl291])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1481, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_149 @ X0) = (select @ queue_145 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1479, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4957, plain,
% 165.81/24.42 ((((index_167) = (select @ queue_145 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4956, zip_derived_cl1481])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4958, plain, (((index_167) = (select @ queue_145 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4957, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl1478, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_145 @ X0) = (select @ queue_143 @ X0))
% 165.81/24.42 | ((tail) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4959, plain,
% 165.81/24.42 ((((index_167) = (select @ queue_143 @ head)) | ((tail) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4958, zip_derived_cl1478])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4960, plain, (((index_167) = (select @ queue_143 @ head))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4959, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl1474, plain,
% 165.81/24.42 (((queue_143) = (store @ queue_139 @ seq @ earray_142))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl216, zip_derived_cl290])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1476, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_143 @ X0) = (select @ queue_139 @ X0))
% 165.81/24.42 | ((seq) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1474, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl4961, plain,
% 165.81/24.42 ((((index_167) = (select @ queue_139 @ head)) | ((seq) = (head)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4960, zip_derived_cl1476])).
% 165.81/24.42 thf(zip_derived_cl215, plain,
% 165.81/24.42 (((queue_139) = (store @ queue_136 @ head @ index_138))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp160])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1424, plain, (((select @ queue_139 @ head) = (index_138))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl4962, plain,
% 165.81/24.42 ((((index_167) = (index_138)) | ((seq) = (head)))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4961, zip_derived_cl1424])).
% 165.81/24.42 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.42 thf(zip_derived_cl4963, plain, (((index_167) = (index_138))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4962, zip_derived_cl3])).
% 165.81/24.42 thf(zip_derived_cl4965, plain, (((index_213) = (s @ index_138))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl1581, zip_derived_cl4963])).
% 165.81/24.42 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.42 thf(zip_derived_cl7743, plain, (((index_18) = (s @ index_213))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl1854, zip_derived_cl7719])).
% 165.81/24.42 thf(as15, axiom,
% 165.81/24.42 (( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.42 ( X ))).
% 165.81/24.42 thf(zip_derived_cl40, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 ((s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))))
% 165.81/24.42 != (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [as15])).
% 165.81/24.42 thf(zip_derived_cl8157, plain,
% 165.81/24.42 (((s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18))))))))))))))
% 165.81/24.42 != (index_213))),
% 165.81/24.42 inference('sup-', [status(thm)], [zip_derived_cl7743, zip_derived_cl40])).
% 165.81/24.42 thf(hyp111, axiom, (( index_24 ) = ( s @ index_21 ))).
% 165.81/24.42 thf(zip_derived_cl166, plain, (((index_24) = (s @ index_21))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp111])).
% 165.81/24.42 thf(hyp108, axiom, (( index_21 ) = ( select @ q11 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl163, plain, (((index_21) = (select @ q11 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp108])).
% 165.81/24.42 thf(zip_derived_cl273, plain, (((q11) = (queue_19))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp218])).
% 165.81/24.42 thf(zip_derived_cl830, plain, (((index_21) = (select @ queue_19 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl163, zip_derived_cl273])).
% 165.81/24.42 thf(zip_derived_cl233, plain,
% 165.81/24.42 (((queue_19) = (store @ queue_17 @ tail @ index_18))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp178])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1696, plain, (((select @ queue_19 @ tail) = (index_18))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl233, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3184, plain, (((index_21) = (index_18))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl830, zip_derived_cl1696])).
% 165.81/24.42 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.42 thf(hyp116, axiom, (( index_33 ) = ( s @ index_30 ))).
% 165.81/24.42 thf(zip_derived_cl171, plain, (((index_33) = (s @ index_30))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp116])).
% 165.81/24.42 thf(hyp115, axiom, (( index_30 ) = ( select @ q12 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl170, plain, (((index_30) = (select @ q12 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp115])).
% 165.81/24.42 thf(zip_derived_cl274, plain, (((q12) = (queue_28))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp219])).
% 165.81/24.42 thf(zip_derived_cl873, plain, (((index_30) = (select @ queue_28 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl274])).
% 165.81/24.42 thf(zip_derived_cl244, plain,
% 165.81/24.42 (((queue_28) = (store @ queue_25 @ head @ index_27))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp189])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1848, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_28 @ X0) = (select @ queue_25 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl243, plain,
% 165.81/24.42 (((queue_25) = (store @ queue_23 @ tail @ index_24))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp188])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1845, plain, (((select @ queue_25 @ tail) = (index_24))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl243, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl5820, plain,
% 165.81/24.42 ((((select @ queue_28 @ tail) = (index_24)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1848, zip_derived_cl1845])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl5822, plain, (((select @ queue_28 @ tail) = (index_24))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl5820, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl5823, plain, (((index_30) = (index_24))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl873, zip_derived_cl5822])).
% 165.81/24.42 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.42 thf(hyp118, axiom, (( index_39 ) = ( s @ index_36 ))).
% 165.81/24.42 thf(zip_derived_cl173, plain, (((index_39) = (s @ index_36))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp118])).
% 165.81/24.42 thf(hyp117, axiom, (( index_36 ) = ( select @ q13 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl172, plain, (((index_36) = (select @ q13 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp117])).
% 165.81/24.42 thf(zip_derived_cl275, plain, (((q13) = (queue_34))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp220])).
% 165.81/24.42 thf(zip_derived_cl874, plain, (((index_36) = (select @ queue_34 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl275])).
% 165.81/24.42 thf(zip_derived_cl246, plain,
% 165.81/24.42 (((queue_34) = (store @ queue_32 @ tail @ index_33))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp191])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1937, plain, (((select @ queue_34 @ tail) = (index_33))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3383, plain, (((index_36) = (index_33))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl874, zip_derived_cl1937])).
% 165.81/24.42 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.42 thf(hyp120, axiom, (( index_45 ) = ( s @ index_42 ))).
% 165.81/24.42 thf(zip_derived_cl175, plain, (((index_45) = (s @ index_42))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp120])).
% 165.81/24.42 thf(hyp119, axiom, (( index_42 ) = ( select @ q14 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl174, plain, (((index_42) = (select @ q14 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp119])).
% 165.81/24.42 thf(zip_derived_cl276, plain, (((q14) = (queue_40))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp221])).
% 165.81/24.42 thf(zip_derived_cl875, plain, (((index_42) = (select @ queue_40 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl276])).
% 165.81/24.42 thf(zip_derived_cl248, plain,
% 165.81/24.42 (((queue_40) = (store @ queue_38 @ tail @ index_39))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp193])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1942, plain, (((select @ queue_40 @ tail) = (index_39))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3445, plain, (((index_42) = (index_39))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl875, zip_derived_cl1942])).
% 165.81/24.42 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.42 thf(hyp124, axiom, (( index_54 ) = ( s @ index_51 ))).
% 165.81/24.42 thf(zip_derived_cl179, plain, (((index_54) = (s @ index_51))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp124])).
% 165.81/24.42 thf(hyp123, axiom, (( index_51 ) = ( select @ q15 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl178, plain, (((index_51) = (select @ q15 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp123])).
% 165.81/24.42 thf(zip_derived_cl277, plain, (((q15) = (queue_49))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp222])).
% 165.81/24.42 thf(zip_derived_cl876, plain, (((index_51) = (select @ queue_49 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl277])).
% 165.81/24.42 thf(zip_derived_cl251, plain,
% 165.81/24.42 (((queue_49) = (store @ queue_46 @ head @ index_48))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp196])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1950, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_49 @ X0) = (select @ queue_46 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl250, plain,
% 165.81/24.42 (((queue_46) = (store @ queue_44 @ tail @ index_45))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp195])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1947, plain, (((select @ queue_46 @ tail) = (index_45))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl6145, plain,
% 165.81/24.42 ((((select @ queue_49 @ tail) = (index_45)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1950, zip_derived_cl1947])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6147, plain, (((select @ queue_49 @ tail) = (index_45))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6145, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl6148, plain, (((index_51) = (index_45))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl876, zip_derived_cl6147])).
% 165.81/24.42 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.42 thf(hyp127, axiom, (( index_60 ) = ( s @ index_57 ))).
% 165.81/24.42 thf(zip_derived_cl182, plain, (((index_60) = (s @ index_57))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp127])).
% 165.81/24.42 thf(hyp125, axiom, (( index_57 ) = ( select @ q16 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl180, plain, (((index_57) = (select @ q16 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp125])).
% 165.81/24.42 thf(zip_derived_cl278, plain, (((q16) = (queue_55))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp223])).
% 165.81/24.42 thf(zip_derived_cl877, plain, (((index_57) = (select @ queue_55 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl180, zip_derived_cl278])).
% 165.81/24.42 thf(zip_derived_cl254, plain,
% 165.81/24.42 (((queue_55) = (store @ queue_53 @ tail @ index_54))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp199])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2042, plain, (((select @ queue_55 @ tail) = (index_54))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3518, plain, (((index_57) = (index_54))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl877, zip_derived_cl2042])).
% 165.81/24.42 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.42 thf(hyp129, axiom, (( index_66 ) = ( s @ index_63 ))).
% 165.81/24.42 thf(zip_derived_cl184, plain, (((index_66) = (s @ index_63))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp129])).
% 165.81/24.42 thf(hyp128, axiom, (( index_63 ) = ( select @ q17 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl183, plain, (((index_63) = (select @ q17 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp128])).
% 165.81/24.42 thf(zip_derived_cl279, plain, (((q17) = (queue_61))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp224])).
% 165.81/24.42 thf(zip_derived_cl878, plain, (((index_63) = (select @ queue_61 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl279])).
% 165.81/24.42 thf(zip_derived_cl256, plain,
% 165.81/24.42 (((queue_61) = (store @ queue_59 @ tail @ index_60))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp201])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2047, plain, (((select @ queue_61 @ tail) = (index_60))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3582, plain, (((index_63) = (index_60))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl878, zip_derived_cl2047])).
% 165.81/24.42 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.42 thf(hyp133, axiom, (( index_75 ) = ( s @ index_72 ))).
% 165.81/24.42 thf(zip_derived_cl188, plain, (((index_75) = (s @ index_72))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp133])).
% 165.81/24.42 thf(hyp132, axiom, (( index_72 ) = ( select @ q18 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl187, plain, (((index_72) = (select @ q18 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp132])).
% 165.81/24.42 thf(zip_derived_cl280, plain, (((q18) = (queue_70))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp225])).
% 165.81/24.42 thf(zip_derived_cl919, plain, (((index_72) = (select @ queue_70 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl280])).
% 165.81/24.42 thf(zip_derived_cl260, plain,
% 165.81/24.42 (((queue_70) = (store @ queue_67 @ head @ index_69))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp205])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl2112, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_70 @ X0) = (select @ queue_67 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl258, plain,
% 165.81/24.42 (((queue_67) = (store @ queue_65 @ tail @ index_66))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp203])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2107, plain, (((select @ queue_67 @ tail) = (index_66))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl6495, plain,
% 165.81/24.42 ((((select @ queue_70 @ tail) = (index_66)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl2112, zip_derived_cl2107])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6497, plain, (((select @ queue_70 @ tail) = (index_66))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6495, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl6498, plain, (((index_72) = (index_66))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl919, zip_derived_cl6497])).
% 165.81/24.42 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.42 thf(hyp137, axiom, (( index_87 ) = ( s @ index_84 ))).
% 165.81/24.42 thf(zip_derived_cl192, plain, (((index_87) = (s @ index_84))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp137])).
% 165.81/24.42 thf(hyp136, axiom, (( index_84 ) = ( select @ q19 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl191, plain, (((index_84) = (select @ q19 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp136])).
% 165.81/24.42 thf(zip_derived_cl281, plain, (((q19) = (queue_76))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp226])).
% 165.81/24.42 thf(zip_derived_cl921, plain, (((index_84) = (select @ queue_76 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl281])).
% 165.81/24.42 thf(zip_derived_cl262, plain,
% 165.81/24.42 (((queue_76) = (store @ queue_74 @ tail @ index_75))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp207])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2116, plain, (((select @ queue_76 @ tail) = (index_75))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3712, plain, (((index_84) = (index_75))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl921, zip_derived_cl2116])).
% 165.81/24.42 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.42 thf(hyp140, axiom, (( index_93 ) = ( s @ index_90 ))).
% 165.81/24.42 thf(zip_derived_cl195, plain, (((index_93) = (s @ index_90))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp140])).
% 165.81/24.42 thf(hyp139, axiom, (( index_90 ) = ( select @ q20 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl194, plain, (((index_90) = (select @ q20 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp139])).
% 165.81/24.42 thf(zip_derived_cl283, plain, (((q20) = (queue_88))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp228])).
% 165.81/24.42 thf(zip_derived_cl923, plain, (((index_90) = (select @ queue_88 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl283])).
% 165.81/24.42 thf(zip_derived_cl266, plain,
% 165.81/24.42 (((queue_88) = (store @ queue_86 @ tail @ index_87))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp211])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2214, plain, (((select @ queue_88 @ tail) = (index_87))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl3841, plain, (((index_90) = (index_87))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl923, zip_derived_cl2214])).
% 165.81/24.42 thf(zip_derived_cl3843, plain, (((index_93) = (s @ index_87))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3841])).
% 165.81/24.42 thf(hyp63, axiom, (( index_102 ) = ( s @ index_99 ))).
% 165.81/24.42 thf(zip_derived_cl118, plain, (((index_102) = (s @ index_99))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp63])).
% 165.81/24.42 thf(hyp143, axiom, (( index_99 ) = ( select @ q21 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl198, plain, (((index_99) = (select @ q21 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp143])).
% 165.81/24.42 thf(zip_derived_cl284, plain, (((q21) = (queue_97))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp229])).
% 165.81/24.42 thf(zip_derived_cl924, plain, (((index_99) = (select @ queue_97 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl284])).
% 165.81/24.42 thf(zip_derived_cl269, plain,
% 165.81/24.42 (((queue_97) = (store @ queue_94 @ head @ index_96))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp214])).
% 165.81/24.42 thf(zip_derived_cl4178, plain, (((index_116) = (index_96))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl4116, zip_derived_cl4177])).
% 165.81/24.42 thf(zip_derived_cl4180, plain,
% 165.81/24.42 (((queue_97) = (store @ queue_94 @ head @ index_116))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl269, zip_derived_cl4178])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl4292, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_97 @ X0) = (select @ queue_94 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4180, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl268, plain,
% 165.81/24.42 (((queue_94) = (store @ queue_92 @ tail @ index_93))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp213])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl2219, plain, (((select @ queue_94 @ tail) = (index_93))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl6932, plain,
% 165.81/24.42 ((((select @ queue_97 @ tail) = (index_93)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl4292, zip_derived_cl2219])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl6936, plain, (((select @ queue_97 @ tail) = (index_93))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl6932, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl6937, plain, (((index_99) = (index_93))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl924, zip_derived_cl6936])).
% 165.81/24.42 thf(zip_derived_cl6941, plain, (((index_102) = (s @ index_93))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl6937])).
% 165.81/24.42 thf(hyp65, axiom, (( index_108 ) = ( s @ index_105 ))).
% 165.81/24.42 thf(zip_derived_cl120, plain, (((index_108) = (s @ index_105))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp65])).
% 165.81/24.42 thf(hyp64, axiom, (( index_105 ) = ( select @ q22 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl119, plain, (((index_105) = (select @ q22 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp64])).
% 165.81/24.42 thf(zip_derived_cl285, plain, (((q22) = (queue_103))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp230])).
% 165.81/24.42 thf(zip_derived_cl734, plain, (((index_105) = (select @ queue_103 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl285])).
% 165.81/24.42 thf(zip_derived_cl201, plain,
% 165.81/24.42 (((queue_103) = (store @ queue_101 @ tail @ index_102))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp146])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1310, plain, (((select @ queue_103 @ tail) = (index_102))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl1426, plain, (((index_105) = (index_102))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl734, zip_derived_cl1310])).
% 165.81/24.42 thf(zip_derived_cl1468, plain, (((index_108) = (s @ index_102))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl1426])).
% 165.81/24.42 thf(hyp67, axiom, (( index_114 ) = ( s @ index_111 ))).
% 165.81/24.42 thf(zip_derived_cl122, plain, (((index_114) = (s @ index_111))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp67])).
% 165.81/24.42 thf(hyp66, axiom, (( index_111 ) = ( select @ q23 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl121, plain, (((index_111) = (select @ q23 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp66])).
% 165.81/24.42 thf(zip_derived_cl286, plain, (((q23) = (queue_109))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp231])).
% 165.81/24.42 thf(zip_derived_cl735, plain, (((index_111) = (select @ queue_109 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl286])).
% 165.81/24.42 thf(zip_derived_cl203, plain,
% 165.81/24.42 (((queue_109) = (store @ queue_107 @ tail @ index_108))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp148])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1315, plain, (((select @ queue_109 @ tail) = (index_108))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl1517, plain, (((index_111) = (index_108))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl735, zip_derived_cl1315])).
% 165.81/24.42 thf(zip_derived_cl1519, plain, (((index_114) = (s @ index_108))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl1517])).
% 165.81/24.42 thf(hyp72, axiom, (( index_123 ) = ( s @ index_120 ))).
% 165.81/24.42 thf(zip_derived_cl127, plain, (((index_123) = (s @ index_120))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp72])).
% 165.81/24.42 thf(hyp71, axiom, (( index_120 ) = ( select @ q24 @ tail ))).
% 165.81/24.42 thf(zip_derived_cl126, plain, (((index_120) = (select @ q24 @ tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp71])).
% 165.81/24.42 thf(zip_derived_cl287, plain, (((q24) = (queue_118))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp232])).
% 165.81/24.42 thf(zip_derived_cl776, plain, (((index_120) = (select @ queue_118 @ tail))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl287])).
% 165.81/24.42 thf(zip_derived_cl207, plain,
% 165.81/24.42 (((queue_118) = (store @ queue_115 @ head @ index_117))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp152])).
% 165.81/24.42 thf(zip_derived_cl1, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.42 (((X1) = (X0))
% 165.81/24.42 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.42 inference('cnf', [status(esa)], [a2])).
% 165.81/24.42 thf(zip_derived_cl1366, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 (((select @ queue_118 @ X0) = (select @ queue_115 @ X0))
% 165.81/24.42 | ((head) = (X0)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl1])).
% 165.81/24.42 thf(zip_derived_cl206, plain,
% 165.81/24.42 (((queue_115) = (store @ queue_113 @ tail @ index_114))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp151])).
% 165.81/24.42 thf(zip_derived_cl0, plain,
% 165.81/24.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.42 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [a1])).
% 165.81/24.42 thf(zip_derived_cl1363, plain, (((select @ queue_115 @ tail) = (index_114))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl206, zip_derived_cl0])).
% 165.81/24.42 thf(zip_derived_cl4298, plain,
% 165.81/24.42 ((((select @ queue_118 @ tail) = (index_114)) | ((head) = (tail)))),
% 165.81/24.42 inference('sup+', [status(thm)], [zip_derived_cl1366, zip_derived_cl1363])).
% 165.81/24.42 thf(zip_derived_cl2, plain, (((head) != (tail))),
% 165.81/24.42 inference('cnf', [status(esa)], [head_distinct_from_tail])).
% 165.81/24.42 thf(zip_derived_cl4299, plain, (((select @ queue_118 @ tail) = (index_114))),
% 165.81/24.42 inference('simplify_reflect-', [status(thm)],
% 165.81/24.42 [zip_derived_cl4298, zip_derived_cl2])).
% 165.81/24.42 thf(zip_derived_cl4300, plain, (((index_120) = (index_114))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl776, zip_derived_cl4299])).
% 165.81/24.42 thf(zip_derived_cl4302, plain, (((index_123) = (s @ index_114))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl4300])).
% 165.81/24.42 thf(zip_derived_cl8207, plain, (((index_123) != (index_213))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl8157, zip_derived_cl3186, zip_derived_cl5825,
% 165.81/24.42 zip_derived_cl3385, zip_derived_cl3447, zip_derived_cl6150,
% 165.81/24.42 zip_derived_cl3520, zip_derived_cl3584, zip_derived_cl6500,
% 165.81/24.42 zip_derived_cl3714, zip_derived_cl3843, zip_derived_cl6941,
% 165.81/24.42 zip_derived_cl1468, zip_derived_cl1519, zip_derived_cl4302])).
% 165.81/24.42 thf(zip_derived_cl7743, plain, (((index_18) = (s @ index_213))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl1854, zip_derived_cl7719])).
% 165.81/24.42 thf(as17, axiom,
% 165.81/24.42 (( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.42 ( X ))).
% 165.81/24.42 thf(zip_derived_cl38, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 ((s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))))))
% 165.81/24.42 != (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [as17])).
% 165.81/24.42 thf(zip_derived_cl8155, plain,
% 165.81/24.42 (((s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18))))))))))))))))
% 165.81/24.42 != (index_213))),
% 165.81/24.42 inference('sup-', [status(thm)], [zip_derived_cl7743, zip_derived_cl38])).
% 165.81/24.42 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.42 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.42 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.42 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.42 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.42 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.42 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.42 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.42 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.42 thf(zip_derived_cl3843, plain, (((index_93) = (s @ index_87))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3841])).
% 165.81/24.42 thf(zip_derived_cl6941, plain, (((index_102) = (s @ index_93))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl6937])).
% 165.81/24.42 thf(zip_derived_cl1468, plain, (((index_108) = (s @ index_102))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl1426])).
% 165.81/24.42 thf(zip_derived_cl1519, plain, (((index_114) = (s @ index_108))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl1517])).
% 165.81/24.42 thf(zip_derived_cl4302, plain, (((index_123) = (s @ index_114))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl4300])).
% 165.81/24.42 thf(hyp74, axiom, (( index_129 ) = ( s @ index_126 ))).
% 165.81/24.42 thf(zip_derived_cl129, plain, (((index_129) = (s @ index_126))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp74])).
% 165.81/24.42 thf(zip_derived_cl1756, plain, (((index_126) = (index_123))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl1370])).
% 165.81/24.42 thf(zip_derived_cl1758, plain, (((index_129) = (s @ index_123))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl1756])).
% 165.81/24.42 thf(hyp76, axiom, (( index_135 ) = ( s @ index_132 ))).
% 165.81/24.42 thf(zip_derived_cl131, plain, (((index_135) = (s @ index_132))),
% 165.81/24.42 inference('cnf', [status(esa)], [hyp76])).
% 165.81/24.42 thf(zip_derived_cl1892, plain, (((index_132) = (index_129))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl778, zip_derived_cl1417])).
% 165.81/24.42 thf(zip_derived_cl1952, plain, (((index_135) = (s @ index_129))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl1892])).
% 165.81/24.42 thf(zip_derived_cl8205, plain, (((index_135) != (index_213))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl8155, zip_derived_cl3186, zip_derived_cl5825,
% 165.81/24.42 zip_derived_cl3385, zip_derived_cl3447, zip_derived_cl6150,
% 165.81/24.42 zip_derived_cl3520, zip_derived_cl3584, zip_derived_cl6500,
% 165.81/24.42 zip_derived_cl3714, zip_derived_cl3843, zip_derived_cl6941,
% 165.81/24.42 zip_derived_cl1468, zip_derived_cl1519, zip_derived_cl4302,
% 165.81/24.42 zip_derived_cl1758, zip_derived_cl1952])).
% 165.81/24.42 thf(zip_derived_cl7743, plain, (((index_18) = (s @ index_213))),
% 165.81/24.42 inference('demod', [status(thm)],
% 165.81/24.42 [zip_derived_cl1854, zip_derived_cl7719])).
% 165.81/24.42 thf(as19, axiom,
% 165.81/24.42 (( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @
% 165.81/24.42 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.42 ( X ))).
% 165.81/24.42 thf(zip_derived_cl36, plain,
% 165.81/24.42 (![X0 : $i]:
% 165.81/24.42 ((s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))))))))
% 165.81/24.42 != (X0))),
% 165.81/24.42 inference('cnf', [status(esa)], [as19])).
% 165.81/24.42 thf(zip_derived_cl8153, plain,
% 165.81/24.42 (((s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @
% 165.81/24.42 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18))))))))))))))))))
% 165.81/24.42 != (index_213))),
% 165.81/24.42 inference('sup-', [status(thm)], [zip_derived_cl7743, zip_derived_cl36])).
% 165.81/24.42 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.42 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.42 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.42 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.42 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.42 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.42 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.42 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.42 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.43 thf(zip_derived_cl3843, plain, (((index_93) = (s @ index_87))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3841])).
% 165.81/24.43 thf(zip_derived_cl6941, plain, (((index_102) = (s @ index_93))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl6937])).
% 165.81/24.43 thf(zip_derived_cl1468, plain, (((index_108) = (s @ index_102))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl1426])).
% 165.81/24.43 thf(zip_derived_cl1519, plain, (((index_114) = (s @ index_108))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl1517])).
% 165.81/24.43 thf(zip_derived_cl4302, plain, (((index_123) = (s @ index_114))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl4300])).
% 165.81/24.43 thf(zip_derived_cl1758, plain, (((index_129) = (s @ index_123))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl1756])).
% 165.81/24.43 thf(zip_derived_cl1952, plain, (((index_135) = (s @ index_129))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl1892])).
% 165.81/24.43 thf(hyp80, axiom, (( index_144 ) = ( s @ index_141 ))).
% 165.81/24.43 thf(zip_derived_cl135, plain, (((index_144) = (s @ index_141))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp80])).
% 165.81/24.43 thf(zip_derived_cl4603, plain, (((index_141) = (index_135))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl779, zip_derived_cl4602])).
% 165.81/24.43 thf(zip_derived_cl4605, plain, (((index_144) = (s @ index_135))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl4603])).
% 165.81/24.43 thf(hyp83, axiom, (( index_150 ) = ( s @ index_147 ))).
% 165.81/24.43 thf(zip_derived_cl138, plain, (((index_150) = (s @ index_147))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp83])).
% 165.81/24.43 thf(zip_derived_cl2052, plain, (((index_147) = (index_144))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl780, zip_derived_cl1477])).
% 165.81/24.43 thf(zip_derived_cl2099, plain, (((index_150) = (s @ index_144))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl138, zip_derived_cl2052])).
% 165.81/24.43 thf(zip_derived_cl8203, plain, (((index_150) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl8153, zip_derived_cl3186, zip_derived_cl5825,
% 165.81/24.43 zip_derived_cl3385, zip_derived_cl3447, zip_derived_cl6150,
% 165.81/24.43 zip_derived_cl3520, zip_derived_cl3584, zip_derived_cl6500,
% 165.81/24.43 zip_derived_cl3714, zip_derived_cl3843, zip_derived_cl6941,
% 165.81/24.43 zip_derived_cl1468, zip_derived_cl1519, zip_derived_cl4302,
% 165.81/24.43 zip_derived_cl1758, zip_derived_cl1952, zip_derived_cl4605,
% 165.81/24.43 zip_derived_cl2099])).
% 165.81/24.43 thf(zip_derived_cl7743, plain, (((index_18) = (s @ index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1854, zip_derived_cl7719])).
% 165.81/24.43 thf(as18, axiom,
% 165.81/24.43 (( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.43 ( X ))).
% 165.81/24.43 thf(zip_derived_cl37, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 ((s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))))))))))
% 165.81/24.43 != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as18])).
% 165.81/24.43 thf(zip_derived_cl8154, plain,
% 165.81/24.43 (((s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18)))))))))))))))))
% 165.81/24.43 != (index_213))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl7743, zip_derived_cl37])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.43 thf(zip_derived_cl3843, plain, (((index_93) = (s @ index_87))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3841])).
% 165.81/24.43 thf(zip_derived_cl6941, plain, (((index_102) = (s @ index_93))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl6937])).
% 165.81/24.43 thf(zip_derived_cl1468, plain, (((index_108) = (s @ index_102))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl1426])).
% 165.81/24.43 thf(zip_derived_cl1519, plain, (((index_114) = (s @ index_108))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl1517])).
% 165.81/24.43 thf(zip_derived_cl4302, plain, (((index_123) = (s @ index_114))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl4300])).
% 165.81/24.43 thf(zip_derived_cl1758, plain, (((index_129) = (s @ index_123))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl1756])).
% 165.81/24.43 thf(zip_derived_cl1952, plain, (((index_135) = (s @ index_129))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl1892])).
% 165.81/24.43 thf(zip_derived_cl4605, plain, (((index_144) = (s @ index_135))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl4603])).
% 165.81/24.43 thf(zip_derived_cl8204, plain, (((index_144) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl8154, zip_derived_cl3186, zip_derived_cl5825,
% 165.81/24.43 zip_derived_cl3385, zip_derived_cl3447, zip_derived_cl6150,
% 165.81/24.43 zip_derived_cl3520, zip_derived_cl3584, zip_derived_cl6500,
% 165.81/24.43 zip_derived_cl3714, zip_derived_cl3843, zip_derived_cl6941,
% 165.81/24.43 zip_derived_cl1468, zip_derived_cl1519, zip_derived_cl4302,
% 165.81/24.43 zip_derived_cl1758, zip_derived_cl1952, zip_derived_cl4605])).
% 165.81/24.43 thf(zip_derived_cl7743, plain, (((index_18) = (s @ index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1854, zip_derived_cl7719])).
% 165.81/24.43 thf(as16, axiom,
% 165.81/24.43 (( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.43 ( X ))).
% 165.81/24.43 thf(zip_derived_cl39, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 ((s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))))))))
% 165.81/24.43 != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as16])).
% 165.81/24.43 thf(zip_derived_cl8156, plain,
% 165.81/24.43 (((s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18)))))))))))))))
% 165.81/24.43 != (index_213))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl7743, zip_derived_cl39])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.43 thf(zip_derived_cl3843, plain, (((index_93) = (s @ index_87))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3841])).
% 165.81/24.43 thf(zip_derived_cl6941, plain, (((index_102) = (s @ index_93))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl6937])).
% 165.81/24.43 thf(zip_derived_cl1468, plain, (((index_108) = (s @ index_102))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl1426])).
% 165.81/24.43 thf(zip_derived_cl1519, plain, (((index_114) = (s @ index_108))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl1517])).
% 165.81/24.43 thf(zip_derived_cl4302, plain, (((index_123) = (s @ index_114))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl4300])).
% 165.81/24.43 thf(zip_derived_cl1758, plain, (((index_129) = (s @ index_123))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl1756])).
% 165.81/24.43 thf(zip_derived_cl8206, plain, (((index_129) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl8156, zip_derived_cl3186, zip_derived_cl5825,
% 165.81/24.43 zip_derived_cl3385, zip_derived_cl3447, zip_derived_cl6150,
% 165.81/24.43 zip_derived_cl3520, zip_derived_cl3584, zip_derived_cl6500,
% 165.81/24.43 zip_derived_cl3714, zip_derived_cl3843, zip_derived_cl6941,
% 165.81/24.43 zip_derived_cl1468, zip_derived_cl1519, zip_derived_cl4302,
% 165.81/24.43 zip_derived_cl1758])).
% 165.81/24.43 thf(zip_derived_cl8720, plain,
% 165.81/24.43 (((elem_214) = (select @ earray_121 @ index_213))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl7443, zip_derived_cl8207, zip_derived_cl8205,
% 165.81/24.43 zip_derived_cl8203, zip_derived_cl8204, zip_derived_cl8206])).
% 165.81/24.43 thf(hyp7, axiom, (( earray_121 ) = ( store @ earray_119 @ index_120 @ e24 ))).
% 165.81/24.43 thf(zip_derived_cl62, plain,
% 165.81/24.43 (((earray_121) = (store @ earray_119 @ index_120 @ e24))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp7])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl1096, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_121 @ X0) = (select @ earray_119 @ X0))
% 165.81/24.43 | ((index_120) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl4300, plain, (((index_120) = (index_114))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl776, zip_derived_cl4299])).
% 165.81/24.43 thf(zip_derived_cl4305, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_121 @ X0) = (select @ earray_119 @ X0))
% 165.81/24.43 | ((index_114) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1096, zip_derived_cl4300])).
% 165.81/24.43 thf(zip_derived_cl1366, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_118 @ X0) = (select @ queue_115 @ X0))
% 165.81/24.43 | ((head) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl1364, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_115 @ X0) = (select @ queue_113 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl206, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl4296, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_118 @ X0) = (select @ queue_113 @ X0))
% 165.81/24.43 | ((head) = (X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1366, zip_derived_cl1364])).
% 165.81/24.43 thf(hyp6, axiom, (( earray_119 ) = ( select @ q24 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl61, plain, (((earray_119) = (select @ q24 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp6])).
% 165.81/24.43 thf(zip_derived_cl287, plain, (((q24) = (queue_118))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp232])).
% 165.81/24.43 thf(zip_derived_cl585, plain, (((earray_119) = (select @ queue_118 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl287])).
% 165.81/24.43 thf(zip_derived_cl7176, plain,
% 165.81/24.43 ((((earray_119) = (select @ queue_113 @ seq))
% 165.81/24.43 | ((tail) = (seq))
% 165.81/24.43 | ((head) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl4296, zip_derived_cl585])).
% 165.81/24.43 thf(zip_derived_cl1360, plain,
% 165.81/24.43 (((queue_113) = (store @ queue_109 @ seq @ earray_112))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl205, zip_derived_cl286])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl1361, plain, (((select @ queue_113 @ seq) = (earray_112))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1360, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl7181, plain,
% 165.81/24.43 ((((earray_119) = (earray_112)) | ((tail) = (seq)) | ((head) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl7176, zip_derived_cl1361])).
% 165.81/24.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl7182, plain, (((earray_119) = (earray_112))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl7181, zip_derived_cl3, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl7185, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_121 @ X0) = (select @ earray_112 @ X0))
% 165.81/24.43 | ((index_114) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl4305, zip_derived_cl7182])).
% 165.81/24.43 thf(zip_derived_cl8721, plain,
% 165.81/24.43 ((((elem_214) = (select @ earray_112 @ index_213))
% 165.81/24.43 | ((index_114) = (index_213)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8720, zip_derived_cl7185])).
% 165.81/24.43 thf(zip_derived_cl7743, plain, (((index_18) = (s @ index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1854, zip_derived_cl7719])).
% 165.81/24.43 thf(as14, axiom,
% 165.81/24.43 (( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.43 ( X ))).
% 165.81/24.43 thf(zip_derived_cl41, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 ((s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))))))
% 165.81/24.43 != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as14])).
% 165.81/24.43 thf(zip_derived_cl8158, plain,
% 165.81/24.43 (((s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18)))))))))))))
% 165.81/24.43 != (index_213))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl7743, zip_derived_cl41])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.43 thf(zip_derived_cl3843, plain, (((index_93) = (s @ index_87))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3841])).
% 165.81/24.43 thf(zip_derived_cl6941, plain, (((index_102) = (s @ index_93))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl6937])).
% 165.81/24.43 thf(zip_derived_cl1468, plain, (((index_108) = (s @ index_102))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl1426])).
% 165.81/24.43 thf(zip_derived_cl1519, plain, (((index_114) = (s @ index_108))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl1517])).
% 165.81/24.43 thf(zip_derived_cl8208, plain, (((index_114) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl8158, zip_derived_cl3186, zip_derived_cl5825,
% 165.81/24.43 zip_derived_cl3385, zip_derived_cl3447, zip_derived_cl6150,
% 165.81/24.43 zip_derived_cl3520, zip_derived_cl3584, zip_derived_cl6500,
% 165.81/24.43 zip_derived_cl3714, zip_derived_cl3843, zip_derived_cl6941,
% 165.81/24.43 zip_derived_cl1468, zip_derived_cl1519])).
% 165.81/24.43 thf(zip_derived_cl8722, plain,
% 165.81/24.43 (((elem_214) = (select @ earray_112 @ index_213))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl8721, zip_derived_cl8208])).
% 165.81/24.43 thf(hyp5, axiom, (( earray_112 ) = ( store @ earray_110 @ index_111 @ e23 ))).
% 165.81/24.43 thf(zip_derived_cl60, plain,
% 165.81/24.43 (((earray_112) = (store @ earray_110 @ index_111 @ e23))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp5])).
% 165.81/24.43 thf(zip_derived_cl1517, plain, (((index_111) = (index_108))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl735, zip_derived_cl1315])).
% 165.81/24.43 thf(zip_derived_cl1518, plain,
% 165.81/24.43 (((earray_112) = (store @ earray_110 @ index_108 @ e23))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl1517])).
% 165.81/24.43 thf(zip_derived_cl1316, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_109 @ X0) = (select @ queue_107 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl1])).
% 165.81/24.43 thf(hyp4, axiom, (( earray_110 ) = ( select @ q23 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl59, plain, (((earray_110) = (select @ q23 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp4])).
% 165.81/24.43 thf(zip_derived_cl286, plain, (((q23) = (queue_109))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp231])).
% 165.81/24.43 thf(zip_derived_cl584, plain, (((earray_110) = (select @ queue_109 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl286])).
% 165.81/24.43 thf(zip_derived_cl4140, plain,
% 165.81/24.43 ((((earray_110) = (select @ queue_107 @ seq)) | ((tail) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1316, zip_derived_cl584])).
% 165.81/24.43 thf(zip_derived_cl1312, plain,
% 165.81/24.43 (((queue_107) = (store @ queue_103 @ seq @ earray_106))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl202, zip_derived_cl285])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl1313, plain, (((select @ queue_107 @ seq) = (earray_106))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1312, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl4141, plain,
% 165.81/24.43 ((((earray_110) = (earray_106)) | ((tail) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl4140, zip_derived_cl1313])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl4142, plain, (((earray_110) = (earray_106))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl4141, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl4144, plain,
% 165.81/24.43 (((earray_112) = (store @ earray_106 @ index_108 @ e23))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1518, zip_derived_cl4142])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl4150, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_112 @ X0) = (select @ earray_106 @ X0))
% 165.81/24.43 | ((index_108) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl4144, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl8723, plain,
% 165.81/24.43 ((((elem_214) = (select @ earray_106 @ index_213))
% 165.81/24.43 | ((index_108) = (index_213)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8722, zip_derived_cl4150])).
% 165.81/24.43 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.43 thf(as13, axiom,
% 165.81/24.43 (( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.43 ( X ))).
% 165.81/24.43 thf(zip_derived_cl42, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 ((s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))))
% 165.81/24.43 != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as13])).
% 165.81/24.43 thf(zip_derived_cl2710, plain,
% 165.81/24.43 (((s @
% 165.81/24.43 (s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18))))))))))))
% 165.81/24.43 != (index_12))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl1854, zip_derived_cl42])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.43 thf(zip_derived_cl3843, plain, (((index_93) = (s @ index_87))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3841])).
% 165.81/24.43 thf(zip_derived_cl6941, plain, (((index_102) = (s @ index_93))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl6937])).
% 165.81/24.43 thf(zip_derived_cl1468, plain, (((index_108) = (s @ index_102))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl1426])).
% 165.81/24.43 thf(zip_derived_cl7441, plain, (((index_108) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl2710, zip_derived_cl3186, zip_derived_cl5825,
% 165.81/24.43 zip_derived_cl3385, zip_derived_cl3447, zip_derived_cl6150,
% 165.81/24.43 zip_derived_cl3520, zip_derived_cl3584, zip_derived_cl6500,
% 165.81/24.43 zip_derived_cl3714, zip_derived_cl3843, zip_derived_cl6941,
% 165.81/24.43 zip_derived_cl1468])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7764, plain, (((index_108) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl7441, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl8724, plain,
% 165.81/24.43 (((elem_214) = (select @ earray_106 @ index_213))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl8723, zip_derived_cl7764])).
% 165.81/24.43 thf(hyp3, axiom, (( earray_106 ) = ( store @ earray_104 @ index_105 @ e22 ))).
% 165.81/24.43 thf(zip_derived_cl58, plain,
% 165.81/24.43 (((earray_106) = (store @ earray_104 @ index_105 @ e22))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp3])).
% 165.81/24.43 thf(zip_derived_cl1426, plain, (((index_105) = (index_102))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl734, zip_derived_cl1310])).
% 165.81/24.43 thf(zip_derived_cl1467, plain,
% 165.81/24.43 (((earray_106) = (store @ earray_104 @ index_102 @ e22))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl1426])).
% 165.81/24.43 thf(zip_derived_cl1311, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_103 @ X0) = (select @ queue_101 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl1])).
% 165.81/24.43 thf(hyp2, axiom, (( earray_104 ) = ( select @ q22 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl57, plain, (((earray_104) = (select @ q22 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp2])).
% 165.81/24.43 thf(zip_derived_cl285, plain, (((q22) = (queue_103))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp230])).
% 165.81/24.43 thf(zip_derived_cl583, plain, (((earray_104) = (select @ queue_103 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl285])).
% 165.81/24.43 thf(zip_derived_cl4124, plain,
% 165.81/24.43 ((((earray_104) = (select @ queue_101 @ seq)) | ((tail) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1311, zip_derived_cl583])).
% 165.81/24.43 thf(zip_derived_cl1307, plain,
% 165.81/24.43 (((queue_101) = (store @ queue_97 @ seq @ earray_100))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl284])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl1308, plain, (((select @ queue_101 @ seq) = (earray_100))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1307, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl4125, plain,
% 165.81/24.43 ((((earray_104) = (earray_100)) | ((tail) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl4124, zip_derived_cl1308])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl4126, plain, (((earray_104) = (earray_100))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl4125, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl4128, plain,
% 165.81/24.43 (((earray_106) = (store @ earray_100 @ index_102 @ e22))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1467, zip_derived_cl4126])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl4133, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_106 @ X0) = (select @ earray_100 @ X0))
% 165.81/24.43 | ((index_102) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl4128, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl8725, plain,
% 165.81/24.43 ((((elem_214) = (select @ earray_100 @ index_213))
% 165.81/24.43 | ((index_102) = (index_213)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8724, zip_derived_cl4133])).
% 165.81/24.43 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.43 thf(as12, axiom,
% 165.81/24.43 (( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.43 ( X ))).
% 165.81/24.43 thf(zip_derived_cl43, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 ((s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))))
% 165.81/24.43 != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as12])).
% 165.81/24.43 thf(zip_derived_cl2663, plain,
% 165.81/24.43 (((s @
% 165.81/24.43 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18)))))))))))
% 165.81/24.43 != (index_12))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl1854, zip_derived_cl43])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.43 thf(zip_derived_cl3843, plain, (((index_93) = (s @ index_87))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3841])).
% 165.81/24.43 thf(zip_derived_cl6941, plain, (((index_102) = (s @ index_93))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl6937])).
% 165.81/24.43 thf(zip_derived_cl7295, plain, (((index_102) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl2663, zip_derived_cl3186, zip_derived_cl5825,
% 165.81/24.43 zip_derived_cl3385, zip_derived_cl3447, zip_derived_cl6150,
% 165.81/24.43 zip_derived_cl3520, zip_derived_cl3584, zip_derived_cl6500,
% 165.81/24.43 zip_derived_cl3714, zip_derived_cl3843, zip_derived_cl6941])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7763, plain, (((index_102) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl7295, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl8726, plain,
% 165.81/24.43 (((elem_214) = (select @ earray_100 @ index_213))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl8725, zip_derived_cl7763])).
% 165.81/24.43 thf(hyp59, axiom, (( earray_91 ) = ( store @ earray_89 @ index_90 @ e20 ))).
% 165.81/24.43 thf(zip_derived_cl114, plain,
% 165.81/24.43 (((earray_91) = (store @ earray_89 @ index_90 @ e20))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp59])).
% 165.81/24.43 thf(zip_derived_cl3841, plain, (((index_90) = (index_87))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl923, zip_derived_cl2214])).
% 165.81/24.43 thf(zip_derived_cl3842, plain,
% 165.81/24.43 (((earray_91) = (store @ earray_89 @ index_87 @ e20))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl3841])).
% 165.81/24.43 thf(zip_derived_cl2215, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_88 @ X0) = (select @ queue_86 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl1])).
% 165.81/24.43 thf(hyp58, axiom, (( earray_89 ) = ( select @ q20 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl113, plain, (((earray_89) = (select @ q20 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp58])).
% 165.81/24.43 thf(zip_derived_cl283, plain, (((q20) = (queue_88))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp228])).
% 165.81/24.43 thf(zip_derived_cl732, plain, (((earray_89) = (select @ queue_88 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl283])).
% 165.81/24.43 thf(zip_derived_cl6700, plain,
% 165.81/24.43 ((((earray_89) = (select @ queue_86 @ seq)) | ((tail) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2215, zip_derived_cl732])).
% 165.81/24.43 thf(zip_derived_cl2211, plain,
% 165.81/24.43 (((queue_86) = (store @ queue_76 @ seq @ earray_85))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl265, zip_derived_cl281])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl2212, plain, (((select @ queue_86 @ seq) = (earray_85))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2211, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl6701, plain,
% 165.81/24.43 ((((earray_89) = (earray_85)) | ((tail) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6700, zip_derived_cl2212])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl6702, plain, (((earray_89) = (earray_85))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl6701, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl6704, plain,
% 165.81/24.43 (((earray_91) = (store @ earray_85 @ index_87 @ e20))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3842, zip_derived_cl6702])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl6713, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_91 @ X0) = (select @ earray_85 @ X0))
% 165.81/24.43 | ((index_87) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl6704, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl2216, plain,
% 165.81/24.43 (((queue_92) = (store @ queue_88 @ seq @ earray_91))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl267, zip_derived_cl283])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl2217, plain, (((select @ queue_92 @ seq) = (earray_91))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2216, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl4292, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_97 @ X0) = (select @ queue_94 @ X0))
% 165.81/24.43 | ((head) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl4180, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl2220, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_94 @ X0) = (select @ queue_92 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl6931, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_97 @ X0) = (select @ queue_92 @ X0))
% 165.81/24.43 | ((head) = (X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl4292, zip_derived_cl2220])).
% 165.81/24.43 thf(hyp60, axiom, (( earray_98 ) = ( select @ q21 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl115, plain, (((earray_98) = (select @ q21 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp60])).
% 165.81/24.43 thf(zip_derived_cl284, plain, (((q21) = (queue_97))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp229])).
% 165.81/24.43 thf(zip_derived_cl733, plain, (((earray_98) = (select @ queue_97 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl284])).
% 165.81/24.43 thf(zip_derived_cl7407, plain,
% 165.81/24.43 ((((earray_98) = (select @ queue_92 @ seq))
% 165.81/24.43 | ((tail) = (seq))
% 165.81/24.43 | ((head) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl6931, zip_derived_cl733])).
% 165.81/24.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl7411, plain, (((earray_98) = (select @ queue_92 @ seq))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl7407, zip_derived_cl3, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl7412, plain, (((earray_98) = (earray_91))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl2217, zip_derived_cl7411])).
% 165.81/24.43 thf(zip_derived_cl7417, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_85 @ X0))
% 165.81/24.43 | ((index_87) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6713, zip_derived_cl7412])).
% 165.81/24.43 thf(hyp57, axiom, (( earray_85 ) = ( store @ earray_83 @ index_84 @ e19 ))).
% 165.81/24.43 thf(zip_derived_cl112, plain,
% 165.81/24.43 (((earray_85) = (store @ earray_83 @ index_84 @ e19))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp57])).
% 165.81/24.43 thf(zip_derived_cl3712, plain, (((index_84) = (index_75))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl921, zip_derived_cl2116])).
% 165.81/24.43 thf(zip_derived_cl3713, plain,
% 165.81/24.43 (((earray_85) = (store @ earray_83 @ index_75 @ e19))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl3712])).
% 165.81/24.43 thf(zip_derived_cl2117, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_76 @ X0) = (select @ queue_74 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl1])).
% 165.81/24.43 thf(hyp56, axiom, (( earray_83 ) = ( select @ q19 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl111, plain, (((earray_83) = (select @ q19 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp56])).
% 165.81/24.43 thf(zip_derived_cl281, plain, (((q19) = (queue_76))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp226])).
% 165.81/24.43 thf(zip_derived_cl731, plain, (((earray_83) = (select @ queue_76 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl281])).
% 165.81/24.43 thf(zip_derived_cl6670, plain,
% 165.81/24.43 ((((earray_83) = (select @ queue_74 @ seq)) | ((tail) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2117, zip_derived_cl731])).
% 165.81/24.43 thf(zip_derived_cl2113, plain,
% 165.81/24.43 (((queue_74) = (store @ queue_70 @ seq @ earray_73))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl261, zip_derived_cl280])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl2114, plain, (((select @ queue_74 @ seq) = (earray_73))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2113, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl6671, plain,
% 165.81/24.43 ((((earray_83) = (earray_73)) | ((tail) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6670, zip_derived_cl2114])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl6672, plain, (((earray_83) = (earray_73))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl6671, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl6674, plain,
% 165.81/24.43 (((earray_85) = (store @ earray_73 @ index_75 @ e19))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3713, zip_derived_cl6672])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl6679, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_85 @ X0) = (select @ earray_73 @ X0))
% 165.81/24.43 | ((index_75) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl6674, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl7427, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_73 @ X0))
% 165.81/24.43 | ((index_87) = (X0))
% 165.81/24.43 | ((index_75) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl7417, zip_derived_cl6679])).
% 165.81/24.43 thf(hyp52, axiom, (( earray_73 ) = ( store @ earray_71 @ index_72 @ e18 ))).
% 165.81/24.43 thf(zip_derived_cl107, plain,
% 165.81/24.43 (((earray_73) = (store @ earray_71 @ index_72 @ e18))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp52])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl1258, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_73 @ X0) = (select @ earray_71 @ X0))
% 165.81/24.43 | ((index_72) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl6498, plain, (((index_72) = (index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl919, zip_derived_cl6497])).
% 165.81/24.43 thf(zip_derived_cl6503, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_73 @ X0) = (select @ earray_71 @ X0))
% 165.81/24.43 | ((index_66) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1258, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl2112, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_70 @ X0) = (select @ queue_67 @ X0))
% 165.81/24.43 | ((head) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl2108, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_67 @ X0) = (select @ queue_65 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl6494, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_70 @ X0) = (select @ queue_65 @ X0))
% 165.81/24.43 | ((head) = (X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2112, zip_derived_cl2108])).
% 165.81/24.43 thf(hyp51, axiom, (( earray_71 ) = ( select @ q18 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl106, plain, (((earray_71) = (select @ q18 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp51])).
% 165.81/24.43 thf(zip_derived_cl280, plain, (((q18) = (queue_70))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp225])).
% 165.81/24.43 thf(zip_derived_cl728, plain, (((earray_71) = (select @ queue_70 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl280])).
% 165.81/24.43 thf(zip_derived_cl7354, plain,
% 165.81/24.43 ((((earray_71) = (select @ queue_65 @ seq))
% 165.81/24.43 | ((tail) = (seq))
% 165.81/24.43 | ((head) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl6494, zip_derived_cl728])).
% 165.81/24.43 thf(zip_derived_cl2049, plain,
% 165.81/24.43 (((queue_65) = (store @ queue_61 @ seq @ earray_64))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl279])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl2050, plain, (((select @ queue_65 @ seq) = (earray_64))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2049, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl7359, plain,
% 165.81/24.43 ((((earray_71) = (earray_64)) | ((tail) = (seq)) | ((head) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl7354, zip_derived_cl2050])).
% 165.81/24.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl7360, plain, (((earray_71) = (earray_64))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl7359, zip_derived_cl3, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl7363, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_73 @ X0) = (select @ earray_64 @ X0))
% 165.81/24.43 | ((index_66) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6503, zip_derived_cl7360])).
% 165.81/24.43 thf(zip_derived_cl7451, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_64 @ X0))
% 165.81/24.43 | ((index_75) = (X0))
% 165.81/24.43 | ((index_87) = (X0))
% 165.81/24.43 | ((index_66) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl7427, zip_derived_cl7363])).
% 165.81/24.43 thf(hyp50, axiom, (( earray_64 ) = ( store @ earray_62 @ index_63 @ e17 ))).
% 165.81/24.43 thf(zip_derived_cl105, plain,
% 165.81/24.43 (((earray_64) = (store @ earray_62 @ index_63 @ e17))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp50])).
% 165.81/24.43 thf(zip_derived_cl3582, plain, (((index_63) = (index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl878, zip_derived_cl2047])).
% 165.81/24.43 thf(zip_derived_cl3583, plain,
% 165.81/24.43 (((earray_64) = (store @ earray_62 @ index_60 @ e17))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl105, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl2048, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_61 @ X0) = (select @ queue_59 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 165.81/24.43 thf(hyp49, axiom, (( earray_62 ) = ( select @ q17 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl104, plain, (((earray_62) = (select @ q17 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp49])).
% 165.81/24.43 thf(zip_derived_cl279, plain, (((q17) = (queue_61))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp224])).
% 165.81/24.43 thf(zip_derived_cl687, plain, (((earray_62) = (select @ queue_61 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl279])).
% 165.81/24.43 thf(zip_derived_cl6330, plain,
% 165.81/24.43 ((((earray_62) = (select @ queue_59 @ seq)) | ((tail) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2048, zip_derived_cl687])).
% 165.81/24.43 thf(zip_derived_cl2044, plain,
% 165.81/24.43 (((queue_59) = (store @ queue_55 @ seq @ earray_58))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl255, zip_derived_cl278])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl2045, plain, (((select @ queue_59 @ seq) = (earray_58))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2044, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl6331, plain,
% 165.81/24.43 ((((earray_62) = (earray_58)) | ((tail) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6330, zip_derived_cl2045])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl6332, plain, (((earray_62) = (earray_58))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl6331, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl6335, plain,
% 165.81/24.43 (((earray_64) = (store @ earray_58 @ index_60 @ e17))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3583, zip_derived_cl6332])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl6339, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_64 @ X0) = (select @ earray_58 @ X0))
% 165.81/24.43 | ((index_60) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl6335, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl8478, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_58 @ X0))
% 165.81/24.43 | ((index_66) = (X0))
% 165.81/24.43 | ((index_87) = (X0))
% 165.81/24.43 | ((index_75) = (X0))
% 165.81/24.43 | ((index_60) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl7451, zip_derived_cl6339])).
% 165.81/24.43 thf(hyp48, axiom, (( earray_58 ) = ( store @ earray_56 @ index_57 @ e16 ))).
% 165.81/24.43 thf(zip_derived_cl103, plain,
% 165.81/24.43 (((earray_58) = (store @ earray_56 @ index_57 @ e16))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp48])).
% 165.81/24.43 thf(zip_derived_cl3518, plain, (((index_57) = (index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl877, zip_derived_cl2042])).
% 165.81/24.43 thf(zip_derived_cl3519, plain,
% 165.81/24.43 (((earray_58) = (store @ earray_56 @ index_54 @ e16))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl2043, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_55 @ X0) = (select @ queue_53 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 165.81/24.43 thf(hyp47, axiom, (( earray_56 ) = ( select @ q16 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl102, plain, (((earray_56) = (select @ q16 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp47])).
% 165.81/24.43 thf(zip_derived_cl278, plain, (((q16) = (queue_55))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp223])).
% 165.81/24.43 thf(zip_derived_cl686, plain, (((earray_56) = (select @ queue_55 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl278])).
% 165.81/24.43 thf(zip_derived_cl6318, plain,
% 165.81/24.43 ((((earray_56) = (select @ queue_53 @ seq)) | ((tail) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2043, zip_derived_cl686])).
% 165.81/24.43 thf(zip_derived_cl2039, plain,
% 165.81/24.43 (((queue_53) = (store @ queue_49 @ seq @ earray_52))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl277])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl2040, plain, (((select @ queue_53 @ seq) = (earray_52))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl2039, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl6319, plain,
% 165.81/24.43 ((((earray_56) = (earray_52)) | ((tail) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6318, zip_derived_cl2040])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl6320, plain, (((earray_56) = (earray_52))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl6319, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl6322, plain,
% 165.81/24.43 (((earray_58) = (store @ earray_52 @ index_54 @ e16))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3519, zip_derived_cl6320])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl6326, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_58 @ X0) = (select @ earray_52 @ X0))
% 165.81/24.43 | ((index_54) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl6322, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl8907, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_52 @ X0))
% 165.81/24.43 | ((index_60) = (X0))
% 165.81/24.43 | ((index_75) = (X0))
% 165.81/24.43 | ((index_87) = (X0))
% 165.81/24.43 | ((index_66) = (X0))
% 165.81/24.43 | ((index_54) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8478, zip_derived_cl6326])).
% 165.81/24.43 thf(hyp46, axiom, (( earray_52 ) = ( store @ earray_50 @ index_51 @ e15 ))).
% 165.81/24.43 thf(zip_derived_cl101, plain,
% 165.81/24.43 (((earray_52) = (store @ earray_50 @ index_51 @ e15))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp46])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl1252, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_52 @ X0) = (select @ earray_50 @ X0))
% 165.81/24.43 | ((index_51) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl6148, plain, (((index_51) = (index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl876, zip_derived_cl6147])).
% 165.81/24.43 thf(zip_derived_cl6153, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_52 @ X0) = (select @ earray_50 @ X0))
% 165.81/24.43 | ((index_45) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1252, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl1950, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_49 @ X0) = (select @ queue_46 @ X0))
% 165.81/24.43 | ((head) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl1948, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_46 @ X0) = (select @ queue_44 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl6144, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_49 @ X0) = (select @ queue_44 @ X0))
% 165.81/24.43 | ((head) = (X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1950, zip_derived_cl1948])).
% 165.81/24.43 thf(hyp45, axiom, (( earray_50 ) = ( select @ q15 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl100, plain, (((earray_50) = (select @ q15 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp45])).
% 165.81/24.43 thf(zip_derived_cl277, plain, (((q15) = (queue_49))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp222])).
% 165.81/24.43 thf(zip_derived_cl685, plain, (((earray_50) = (select @ queue_49 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl277])).
% 165.81/24.43 thf(zip_derived_cl7328, plain,
% 165.81/24.43 ((((earray_50) = (select @ queue_44 @ seq))
% 165.81/24.43 | ((tail) = (seq))
% 165.81/24.43 | ((head) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl6144, zip_derived_cl685])).
% 165.81/24.43 thf(zip_derived_cl1944, plain,
% 165.81/24.43 (((queue_44) = (store @ queue_40 @ seq @ earray_43))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl249, zip_derived_cl276])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl1945, plain, (((select @ queue_44 @ seq) = (earray_43))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1944, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl7333, plain,
% 165.81/24.43 ((((earray_50) = (earray_43)) | ((tail) = (seq)) | ((head) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl7328, zip_derived_cl1945])).
% 165.81/24.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl7334, plain, (((earray_50) = (earray_43))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl7333, zip_derived_cl3, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl7337, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_52 @ X0) = (select @ earray_43 @ X0))
% 165.81/24.43 | ((index_45) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6153, zip_derived_cl7334])).
% 165.81/24.43 thf(zip_derived_cl8927, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_43 @ X0))
% 165.81/24.43 | ((index_54) = (X0))
% 165.81/24.43 | ((index_66) = (X0))
% 165.81/24.43 | ((index_87) = (X0))
% 165.81/24.43 | ((index_75) = (X0))
% 165.81/24.43 | ((index_60) = (X0))
% 165.81/24.43 | ((index_45) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8907, zip_derived_cl7337])).
% 165.81/24.43 thf(hyp44, axiom, (( earray_43 ) = ( store @ earray_41 @ index_42 @ e14 ))).
% 165.81/24.43 thf(zip_derived_cl99, plain,
% 165.81/24.43 (((earray_43) = (store @ earray_41 @ index_42 @ e14))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp44])).
% 165.81/24.43 thf(zip_derived_cl3445, plain, (((index_42) = (index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl875, zip_derived_cl1942])).
% 165.81/24.43 thf(zip_derived_cl3446, plain,
% 165.81/24.43 (((earray_43) = (store @ earray_41 @ index_39 @ e14))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl1943, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_40 @ X0) = (select @ queue_38 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl1])).
% 165.81/24.43 thf(hyp43, axiom, (( earray_41 ) = ( select @ q14 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl98, plain, (((earray_41) = (select @ q14 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp43])).
% 165.81/24.43 thf(zip_derived_cl276, plain, (((q14) = (queue_40))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp221])).
% 165.81/24.43 thf(zip_derived_cl684, plain, (((earray_41) = (select @ queue_40 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl276])).
% 165.81/24.43 thf(zip_derived_cl6004, plain,
% 165.81/24.43 ((((earray_41) = (select @ queue_38 @ seq)) | ((tail) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1943, zip_derived_cl684])).
% 165.81/24.43 thf(zip_derived_cl1939, plain,
% 165.81/24.43 (((queue_38) = (store @ queue_34 @ seq @ earray_37))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl275])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl1940, plain, (((select @ queue_38 @ seq) = (earray_37))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1939, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl6005, plain,
% 165.81/24.43 ((((earray_41) = (earray_37)) | ((tail) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6004, zip_derived_cl1940])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl6006, plain, (((earray_41) = (earray_37))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl6005, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl6008, plain,
% 165.81/24.43 (((earray_43) = (store @ earray_37 @ index_39 @ e14))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3446, zip_derived_cl6006])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl6013, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_43 @ X0) = (select @ earray_37 @ X0))
% 165.81/24.43 | ((index_39) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl6008, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl8946, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_37 @ X0))
% 165.81/24.43 | ((index_45) = (X0))
% 165.81/24.43 | ((index_60) = (X0))
% 165.81/24.43 | ((index_75) = (X0))
% 165.81/24.43 | ((index_87) = (X0))
% 165.81/24.43 | ((index_66) = (X0))
% 165.81/24.43 | ((index_54) = (X0))
% 165.81/24.43 | ((index_39) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8927, zip_derived_cl6013])).
% 165.81/24.43 thf(hyp41, axiom, (( earray_37 ) = ( store @ earray_35 @ index_36 @ e13 ))).
% 165.81/24.43 thf(zip_derived_cl96, plain,
% 165.81/24.43 (((earray_37) = (store @ earray_35 @ index_36 @ e13))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp41])).
% 165.81/24.43 thf(zip_derived_cl3383, plain, (((index_36) = (index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl874, zip_derived_cl1937])).
% 165.81/24.43 thf(zip_derived_cl3384, plain,
% 165.81/24.43 (((earray_37) = (store @ earray_35 @ index_33 @ e13))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl1938, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_34 @ X0) = (select @ queue_32 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl1])).
% 165.81/24.43 thf(hyp40, axiom, (( earray_35 ) = ( select @ q13 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl95, plain, (((earray_35) = (select @ q13 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp40])).
% 165.81/24.43 thf(zip_derived_cl275, plain, (((q13) = (queue_34))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp220])).
% 165.81/24.43 thf(zip_derived_cl683, plain, (((earray_35) = (select @ queue_34 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl275])).
% 165.81/24.43 thf(zip_derived_cl5990, plain,
% 165.81/24.43 ((((earray_35) = (select @ queue_32 @ seq)) | ((tail) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1938, zip_derived_cl683])).
% 165.81/24.43 thf(zip_derived_cl1849, plain,
% 165.81/24.43 (((queue_32) = (store @ queue_28 @ seq @ earray_31))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl245, zip_derived_cl274])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl1850, plain, (((select @ queue_32 @ seq) = (earray_31))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1849, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl5991, plain,
% 165.81/24.43 ((((earray_35) = (earray_31)) | ((tail) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5990, zip_derived_cl1850])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl5992, plain, (((earray_35) = (earray_31))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl5991, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl5995, plain,
% 165.81/24.43 (((earray_37) = (store @ earray_31 @ index_33 @ e13))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3384, zip_derived_cl5992])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl5999, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_37 @ X0) = (select @ earray_31 @ X0))
% 165.81/24.43 | ((index_33) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl5995, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl8967, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_31 @ X0))
% 165.81/24.43 | ((index_39) = (X0))
% 165.81/24.43 | ((index_54) = (X0))
% 165.81/24.43 | ((index_66) = (X0))
% 165.81/24.43 | ((index_87) = (X0))
% 165.81/24.43 | ((index_75) = (X0))
% 165.81/24.43 | ((index_60) = (X0))
% 165.81/24.43 | ((index_45) = (X0))
% 165.81/24.43 | ((index_33) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8946, zip_derived_cl5999])).
% 165.81/24.43 thf(hyp39, axiom, (( earray_31 ) = ( store @ earray_29 @ index_30 @ e12 ))).
% 165.81/24.43 thf(zip_derived_cl94, plain,
% 165.81/24.43 (((earray_31) = (store @ earray_29 @ index_30 @ e12))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp39])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl1204, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_31 @ X0) = (select @ earray_29 @ X0))
% 165.81/24.43 | ((index_30) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl5823, plain, (((index_30) = (index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl873, zip_derived_cl5822])).
% 165.81/24.43 thf(zip_derived_cl5828, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_31 @ X0) = (select @ earray_29 @ X0))
% 165.81/24.43 | ((index_24) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1204, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl1848, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_28 @ X0) = (select @ queue_25 @ X0))
% 165.81/24.43 | ((head) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl1846, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_25 @ X0) = (select @ queue_23 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl243, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl5819, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_28 @ X0) = (select @ queue_23 @ X0))
% 165.81/24.43 | ((head) = (X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1848, zip_derived_cl1846])).
% 165.81/24.43 thf(hyp38, axiom, (( earray_29 ) = ( select @ q12 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl93, plain, (((earray_29) = (select @ q12 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp38])).
% 165.81/24.43 thf(zip_derived_cl274, plain, (((q12) = (queue_28))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp219])).
% 165.81/24.43 thf(zip_derived_cl682, plain, (((earray_29) = (select @ queue_28 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl274])).
% 165.81/24.43 thf(zip_derived_cl7303, plain,
% 165.81/24.43 ((((earray_29) = (select @ queue_23 @ seq))
% 165.81/24.43 | ((tail) = (seq))
% 165.81/24.43 | ((head) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl5819, zip_derived_cl682])).
% 165.81/24.43 thf(zip_derived_cl1842, plain,
% 165.81/24.43 (((queue_23) = (store @ queue_19 @ seq @ earray_22))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl273])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl1843, plain, (((select @ queue_23 @ seq) = (earray_22))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1842, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl7308, plain,
% 165.81/24.43 ((((earray_29) = (earray_22)) | ((tail) = (seq)) | ((head) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl7303, zip_derived_cl1843])).
% 165.81/24.43 thf(zip_derived_cl3, plain, (((head) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [head_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl7309, plain, (((earray_29) = (earray_22))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl7308, zip_derived_cl3, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl7312, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_31 @ X0) = (select @ earray_22 @ X0))
% 165.81/24.43 | ((index_24) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5828, zip_derived_cl7309])).
% 165.81/24.43 thf(zip_derived_cl8989, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_22 @ X0))
% 165.81/24.43 | ((index_33) = (X0))
% 165.81/24.43 | ((index_45) = (X0))
% 165.81/24.43 | ((index_60) = (X0))
% 165.81/24.43 | ((index_75) = (X0))
% 165.81/24.43 | ((index_87) = (X0))
% 165.81/24.43 | ((index_66) = (X0))
% 165.81/24.43 | ((index_54) = (X0))
% 165.81/24.43 | ((index_39) = (X0))
% 165.81/24.43 | ((index_24) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8967, zip_derived_cl7312])).
% 165.81/24.43 thf(hyp37, axiom, (( earray_22 ) = ( store @ earray_20 @ index_21 @ e11 ))).
% 165.81/24.43 thf(zip_derived_cl92, plain,
% 165.81/24.43 (((earray_22) = (store @ earray_20 @ index_21 @ e11))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp37])).
% 165.81/24.43 thf(zip_derived_cl3184, plain, (((index_21) = (index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl830, zip_derived_cl1696])).
% 165.81/24.43 thf(zip_derived_cl3185, plain,
% 165.81/24.43 (((earray_22) = (store @ earray_20 @ index_18 @ e11))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl1697, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ queue_19 @ X0) = (select @ queue_17 @ X0))
% 165.81/24.43 | ((tail) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl233, zip_derived_cl1])).
% 165.81/24.43 thf(hyp33, axiom, (( earray_20 ) = ( select @ q11 @ seq ))).
% 165.81/24.43 thf(zip_derived_cl88, plain, (((earray_20) = (select @ q11 @ seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp33])).
% 165.81/24.43 thf(zip_derived_cl273, plain, (((q11) = (queue_19))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp218])).
% 165.81/24.43 thf(zip_derived_cl679, plain, (((earray_20) = (select @ queue_19 @ seq))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl273])).
% 165.81/24.43 thf(zip_derived_cl5215, plain,
% 165.81/24.43 ((((earray_20) = (select @ queue_17 @ seq)) | ((tail) = (seq)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1697, zip_derived_cl679])).
% 165.81/24.43 thf(zip_derived_cl1575, plain,
% 165.81/24.43 (((queue_17) = (store @ queue_13 @ seq @ earray_16))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl226, zip_derived_cl272])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl1576, plain, (((select @ queue_17 @ seq) = (earray_16))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl1575, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl5216, plain,
% 165.81/24.43 ((((earray_20) = (earray_16)) | ((tail) = (seq)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5215, zip_derived_cl1576])).
% 165.81/24.43 thf(zip_derived_cl4, plain, (((tail) != (seq))),
% 165.81/24.43 inference('cnf', [status(esa)], [tail_distinct_from_seq])).
% 165.81/24.43 thf(zip_derived_cl5217, plain, (((earray_20) = (earray_16))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl5216, zip_derived_cl4])).
% 165.81/24.43 thf(zip_derived_cl5219, plain,
% 165.81/24.43 (((earray_22) = (store @ earray_16 @ index_18 @ e11))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3185, zip_derived_cl5217])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl5224, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_22 @ X0) = (select @ earray_16 @ X0))
% 165.81/24.43 | ((index_18) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl5219, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl8994, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_98 @ X0) = (select @ earray_16 @ X0))
% 165.81/24.43 | ((index_24) = (X0))
% 165.81/24.43 | ((index_39) = (X0))
% 165.81/24.43 | ((index_54) = (X0))
% 165.81/24.43 | ((index_66) = (X0))
% 165.81/24.43 | ((index_87) = (X0))
% 165.81/24.43 | ((index_75) = (X0))
% 165.81/24.43 | ((index_60) = (X0))
% 165.81/24.43 | ((index_45) = (X0))
% 165.81/24.43 | ((index_33) = (X0))
% 165.81/24.43 | ((index_18) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8989, zip_derived_cl5224])).
% 165.81/24.43 thf(hyp19, axiom, (( earray_16 ) = ( store @ earray_14 @ index_15 @ e10 ))).
% 165.81/24.43 thf(zip_derived_cl74, plain,
% 165.81/24.43 (((earray_16) = (store @ earray_14 @ index_15 @ e10))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp19])).
% 165.81/24.43 thf(zip_derived_cl0, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i]:
% 165.81/24.43 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [a1])).
% 165.81/24.43 thf(zip_derived_cl1007, plain, (((select @ earray_16 @ index_15) = (e10))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl0])).
% 165.81/24.43 thf(zip_derived_cl1852, plain, (((index_15) = (index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl781, zip_derived_cl1415])).
% 165.81/24.43 thf(zip_derived_cl1859, plain, (((select @ earray_16 @ index_12) = (e10))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1007, zip_derived_cl1852])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7745, plain, (((select @ earray_16 @ index_213) = (e10))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1859, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl9011, plain,
% 165.81/24.43 ((((select @ earray_98 @ index_213) = (e10))
% 165.81/24.43 | ((index_18) = (index_213))
% 165.81/24.43 | ((index_33) = (index_213))
% 165.81/24.43 | ((index_45) = (index_213))
% 165.81/24.43 | ((index_60) = (index_213))
% 165.81/24.43 | ((index_75) = (index_213))
% 165.81/24.43 | ((index_87) = (index_213))
% 165.81/24.43 | ((index_66) = (index_213))
% 165.81/24.43 | ((index_54) = (index_213))
% 165.81/24.43 | ((index_39) = (index_213))
% 165.81/24.43 | ((index_24) = (index_213)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl8994, zip_derived_cl7745])).
% 165.81/24.43 thf(zip_derived_cl150, plain, (((index_18) = (s @ index_15))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp95])).
% 165.81/24.43 thf(as2, axiom, (( s @ ( s @ X ) ) != ( X ))).
% 165.81/24.43 thf(zip_derived_cl53, plain, (![X0 : $i]: ((s @ (s @ X0)) != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as2])).
% 165.81/24.43 thf(zip_derived_cl352, plain, (((s @ index_18) != (index_15))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl53])).
% 165.81/24.43 thf(zip_derived_cl1852, plain, (((index_15) = (index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl781, zip_derived_cl1415])).
% 165.81/24.43 thf(zip_derived_cl1855, plain, (((s @ index_18) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl352, zip_derived_cl1852])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl3193, plain, (((index_24) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1855, zip_derived_cl3186])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7746, plain, (((index_24) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3193, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl150, plain, (((index_18) = (s @ index_15))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp95])).
% 165.81/24.43 thf(as4, axiom, (( s @ ( s @ ( s @ ( s @ X ) ) ) ) != ( X ))).
% 165.81/24.43 thf(zip_derived_cl51, plain,
% 165.81/24.43 (![X0 : $i]: ((s @ (s @ (s @ (s @ X0)))) != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as4])).
% 165.81/24.43 thf(zip_derived_cl977, plain, (((s @ (s @ (s @ index_18))) != (index_15))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl51])).
% 165.81/24.43 thf(zip_derived_cl1852, plain, (((index_15) = (index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl781, zip_derived_cl1415])).
% 165.81/24.43 thf(zip_derived_cl1858, plain, (((s @ (s @ (s @ index_18))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl977, zip_derived_cl1852])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl3378, plain, (((s @ (s @ index_24)) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1858, zip_derived_cl3186])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl5852, plain, (((index_39) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3378, zip_derived_cl5825, zip_derived_cl3385])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7755, plain, (((index_39) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5852, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.43 thf(as6, axiom, (( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) != ( X ))).
% 165.81/24.43 thf(zip_derived_cl49, plain,
% 165.81/24.43 (![X0 : $i]: ((s @ (s @ (s @ (s @ (s @ (s @ X0)))))) != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as6])).
% 165.81/24.43 thf(zip_derived_cl2332, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ index_18))))) != (index_12))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl1854, zip_derived_cl49])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl3929, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ index_24)))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl2332, zip_derived_cl3186])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl5854, plain, (((s @ index_45) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3929, zip_derived_cl5825, zip_derived_cl3385,
% 165.81/24.43 zip_derived_cl3447])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl6195, plain, (((index_54) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5854, zip_derived_cl6150])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7757, plain, (((index_54) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6195, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.43 thf(as8, axiom,
% 165.81/24.43 (( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) != ( X ))).
% 165.81/24.43 thf(zip_derived_cl47, plain,
% 165.81/24.43 (![X0 : $i]: ((s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))) != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as8])).
% 165.81/24.43 thf(zip_derived_cl2426, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18))))))) != (index_12))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl1854, zip_derived_cl47])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl4136, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ (s @ index_24)))))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl2426, zip_derived_cl3186])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl5856, plain, (((s @ (s @ (s @ index_45))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl4136, zip_derived_cl5825, zip_derived_cl3385,
% 165.81/24.43 zip_derived_cl3447])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl6197, plain, (((index_66) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5856, zip_derived_cl6150, zip_derived_cl3520,
% 165.81/24.43 zip_derived_cl3584])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7759, plain, (((index_66) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6197, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.43 thf(as10, axiom,
% 165.81/24.43 (( s @
% 165.81/24.43 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.43 ( X ))).
% 165.81/24.43 thf(zip_derived_cl45, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 ((s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))))
% 165.81/24.43 != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as10])).
% 165.81/24.43 thf(zip_derived_cl2520, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18)))))))))
% 165.81/24.43 != (index_12))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl1854, zip_derived_cl45])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl5103, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_24)))))))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl2520, zip_derived_cl3186])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl5858, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ index_45))))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5103, zip_derived_cl5825, zip_derived_cl3385,
% 165.81/24.43 zip_derived_cl3447])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl6199, plain, (((s @ (s @ index_66)) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5858, zip_derived_cl6150, zip_derived_cl3520,
% 165.81/24.43 zip_derived_cl3584])).
% 165.81/24.43 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.43 thf(zip_derived_cl6559, plain, (((index_87) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6199, zip_derived_cl6500, zip_derived_cl3714])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7761, plain, (((index_87) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6559, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.43 thf(as9, axiom,
% 165.81/24.43 (( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) !=
% 165.81/24.43 ( X ))).
% 165.81/24.43 thf(zip_derived_cl46, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 ((s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))))) != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as9])).
% 165.81/24.43 thf(zip_derived_cl2473, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18)))))))) != (index_12))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl1854, zip_derived_cl46])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl4472, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ (s @ (s @ index_24))))))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl2473, zip_derived_cl3186])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl5857, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ index_45)))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl4472, zip_derived_cl5825, zip_derived_cl3385,
% 165.81/24.43 zip_derived_cl3447])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl6198, plain, (((s @ index_66) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5857, zip_derived_cl6150, zip_derived_cl3520,
% 165.81/24.43 zip_derived_cl3584])).
% 165.81/24.43 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl6558, plain, (((index_75) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6198, zip_derived_cl6500])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7760, plain, (((index_75) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6558, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.43 thf(as7, axiom,
% 165.81/24.43 (( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) != ( X ))).
% 165.81/24.43 thf(zip_derived_cl48, plain,
% 165.81/24.43 (![X0 : $i]: ((s @ (s @ (s @ (s @ (s @ (s @ (s @ X0))))))) != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as7])).
% 165.81/24.43 thf(zip_derived_cl2379, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ (s @ index_18)))))) != (index_12))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl1854, zip_derived_cl48])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl3974, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ index_24))))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl2379, zip_derived_cl3186])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl5855, plain, (((s @ (s @ index_45)) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3974, zip_derived_cl5825, zip_derived_cl3385,
% 165.81/24.43 zip_derived_cl3447])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl6196, plain, (((index_60) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5855, zip_derived_cl6150, zip_derived_cl3520])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7758, plain, (((index_60) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl6196, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.43 thf(as5, axiom, (( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) != ( X ))).
% 165.81/24.43 thf(zip_derived_cl50, plain,
% 165.81/24.43 (![X0 : $i]: ((s @ (s @ (s @ (s @ (s @ X0))))) != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as5])).
% 165.81/24.43 thf(zip_derived_cl1887, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ index_18)))) != (index_12))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl1854, zip_derived_cl50])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl3907, plain, (((s @ (s @ (s @ index_24))) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1887, zip_derived_cl3186])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl5853, plain, (((index_45) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3907, zip_derived_cl5825, zip_derived_cl3385,
% 165.81/24.43 zip_derived_cl3447])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7756, plain, (((index_45) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5853, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl150, plain, (((index_18) = (s @ index_15))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp95])).
% 165.81/24.43 thf(as3, axiom, (( s @ ( s @ ( s @ X ) ) ) != ( X ))).
% 165.81/24.43 thf(zip_derived_cl52, plain, (![X0 : $i]: ((s @ (s @ (s @ X0))) != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as3])).
% 165.81/24.43 thf(zip_derived_cl553, plain, (((s @ (s @ index_18)) != (index_15))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl52])).
% 165.81/24.43 thf(zip_derived_cl1852, plain, (((index_15) = (index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl781, zip_derived_cl1415])).
% 165.81/24.43 thf(zip_derived_cl1857, plain, (((s @ (s @ index_18)) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl553, zip_derived_cl1852])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl3194, plain, (((s @ index_24) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1857, zip_derived_cl3186])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl5846, plain, (((index_33) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl3194, zip_derived_cl5825])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7754, plain, (((index_33) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5846, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl150, plain, (((index_18) = (s @ index_15))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp95])).
% 165.81/24.43 thf(as1, axiom, (( s @ X ) != ( X ))).
% 165.81/24.43 thf(zip_derived_cl54, plain, (![X0 : $i]: ((s @ X0) != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as1])).
% 165.81/24.43 thf(zip_derived_cl353, plain, (((index_18) != (index_15))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl54])).
% 165.81/24.43 thf(zip_derived_cl1852, plain, (((index_15) = (index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl781, zip_derived_cl1415])).
% 165.81/24.43 thf(zip_derived_cl1856, plain, (((index_18) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl353, zip_derived_cl1852])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7744, plain, (((index_18) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1856, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl9012, plain, (((select @ earray_98 @ index_213) = (e10))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl9011, zip_derived_cl7746, zip_derived_cl7755,
% 165.81/24.43 zip_derived_cl7757, zip_derived_cl7759, zip_derived_cl7761,
% 165.81/24.43 zip_derived_cl7760, zip_derived_cl7758, zip_derived_cl7756,
% 165.81/24.43 zip_derived_cl7754, zip_derived_cl7744])).
% 165.81/24.43 thf(hyp1, axiom, (( earray_100 ) = ( store @ earray_98 @ index_99 @ e21 ))).
% 165.81/24.43 thf(zip_derived_cl56, plain,
% 165.81/24.43 (((earray_100) = (store @ earray_98 @ index_99 @ e21))),
% 165.81/24.43 inference('cnf', [status(esa)], [hyp1])).
% 165.81/24.43 thf(zip_derived_cl1, plain,
% 165.81/24.43 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 165.81/24.43 (((X1) = (X0))
% 165.81/24.43 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 165.81/24.43 inference('cnf', [status(esa)], [a2])).
% 165.81/24.43 thf(zip_derived_cl1050, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_100 @ X0) = (select @ earray_98 @ X0))
% 165.81/24.43 | ((index_99) = (X0)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl1])).
% 165.81/24.43 thf(zip_derived_cl6937, plain, (((index_99) = (index_93))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl924, zip_derived_cl6936])).
% 165.81/24.43 thf(zip_derived_cl6944, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 (((select @ earray_100 @ X0) = (select @ earray_98 @ X0))
% 165.81/24.43 | ((index_93) = (X0)))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl1050, zip_derived_cl6937])).
% 165.81/24.43 thf(zip_derived_cl9013, plain,
% 165.81/24.43 ((((select @ earray_100 @ index_213) = (e10))
% 165.81/24.43 | ((index_93) = (index_213)))),
% 165.81/24.43 inference('sup+', [status(thm)], [zip_derived_cl9012, zip_derived_cl6944])).
% 165.81/24.43 thf(zip_derived_cl1854, plain, (((index_18) = (s @ index_12))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl1852])).
% 165.81/24.43 thf(as11, axiom,
% 165.81/24.43 (( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @
% 165.81/24.43 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ X ) ) ) ) ) ) ) ) ) ) ) !=
% 165.81/24.43 ( X ))).
% 165.81/24.43 thf(zip_derived_cl44, plain,
% 165.81/24.43 (![X0 : $i]:
% 165.81/24.43 ((s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ X0)))))))))))
% 165.81/24.43 != (X0))),
% 165.81/24.43 inference('cnf', [status(esa)], [as11])).
% 165.81/24.43 thf(zip_derived_cl2567, plain,
% 165.81/24.43 (((s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ index_18))))))))))
% 165.81/24.43 != (index_12))),
% 165.81/24.43 inference('sup-', [status(thm)], [zip_derived_cl1854, zip_derived_cl44])).
% 165.81/24.43 thf(zip_derived_cl3186, plain, (((index_24) = (s @ index_18))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl3184])).
% 165.81/24.43 thf(zip_derived_cl5825, plain, (((index_33) = (s @ index_24))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl5823])).
% 165.81/24.43 thf(zip_derived_cl3385, plain, (((index_39) = (s @ index_33))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3383])).
% 165.81/24.43 thf(zip_derived_cl3447, plain, (((index_45) = (s @ index_39))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl3445])).
% 165.81/24.43 thf(zip_derived_cl6150, plain, (((index_54) = (s @ index_45))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl6148])).
% 165.81/24.43 thf(zip_derived_cl3520, plain, (((index_60) = (s @ index_54))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl3518])).
% 165.81/24.43 thf(zip_derived_cl3584, plain, (((index_66) = (s @ index_60))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl3582])).
% 165.81/24.43 thf(zip_derived_cl6500, plain, (((index_75) = (s @ index_66))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl188, zip_derived_cl6498])).
% 165.81/24.43 thf(zip_derived_cl3714, plain, (((index_87) = (s @ index_75))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl3712])).
% 165.81/24.43 thf(zip_derived_cl3843, plain, (((index_93) = (s @ index_87))),
% 165.81/24.43 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3841])).
% 165.81/24.43 thf(zip_derived_cl7154, plain, (((index_93) != (index_12))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl2567, zip_derived_cl3186, zip_derived_cl5825,
% 165.81/24.43 zip_derived_cl3385, zip_derived_cl3447, zip_derived_cl6150,
% 165.81/24.43 zip_derived_cl3520, zip_derived_cl3584, zip_derived_cl6500,
% 165.81/24.43 zip_derived_cl3714, zip_derived_cl3843])).
% 165.81/24.43 thf(zip_derived_cl7719, plain, (((index_12) = (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl5540, zip_derived_cl7684, zip_derived_cl4965])).
% 165.81/24.43 thf(zip_derived_cl7762, plain, (((index_93) != (index_213))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl7154, zip_derived_cl7719])).
% 165.81/24.43 thf(zip_derived_cl9014, plain, (((select @ earray_100 @ index_213) = (e10))),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl9013, zip_derived_cl7762])).
% 165.81/24.43 thf(zip_derived_cl9015, plain, (((elem_214) = (e10))),
% 165.81/24.43 inference('demod', [status(thm)],
% 165.81/24.43 [zip_derived_cl8726, zip_derived_cl9014])).
% 165.81/24.43 thf(goal, conjecture, (( elem_214 ) = ( e10 ))).
% 165.81/24.43 thf(zf_stmt_0, negated_conjecture, (( elem_214 ) != ( e10 )),
% 165.81/24.43 inference('cnf.neg', [status(esa)], [goal])).
% 165.81/24.43 thf(zip_derived_cl301, plain, (((elem_214) != (e10))),
% 165.81/24.43 inference('cnf', [status(esa)], [zf_stmt_0])).
% 165.81/24.43 thf(zip_derived_cl9016, plain, ($false),
% 165.81/24.43 inference('simplify_reflect-', [status(thm)],
% 165.81/24.43 [zip_derived_cl9015, zip_derived_cl301])).
% 165.81/24.43
% 165.81/24.43 % SZS output end Refutation
% 165.81/24.43
% 165.81/24.43
% 165.81/24.43 % Terminating...
% 166.43/24.60 % Runner terminated.
% 166.43/24.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------