0.04/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.14/0.14	% Command    : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BmCpkpVxqq true
0.15/0.35	% Computer   : n012.cluster.edu
0.15/0.35	% Model      : x86_64 x86_64
0.15/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.35	% Memory     : 8042.1875MB
0.15/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.35	% CPULimit   : 1200
0.15/0.35	% WCLimit    : 120
0.15/0.35	% DateTime   : Tue Jul 13 12:46:46 EDT 2021
0.15/0.35	% CPUTime    : 
0.15/0.35	% Running portfolio for 120 s
0.15/0.35	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.15/0.35	% Number of cores: 8
0.15/0.36	% Python version: Python 3.6.8
0.15/0.36	% Running in FO mode
0.55/0.64	% Total configuration time : 435
0.55/0.64	% Estimated wc time : 845
0.55/0.64	% Estimated cpu time (7 cpus) : 120.71428571428571
0.58/0.72	% /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 58s
0.58/0.75	% /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 58s
0.58/0.75	% /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 58s
0.58/0.75	% /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 49s
0.58/0.76	% /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 39s
0.58/0.77	% /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 39s
0.58/0.77	% /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 39s
7.98/1.79	% Solved by fo/fo1_av.sh.
7.98/1.79	% done 2341 iterations in 0.968s
7.98/1.79	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
7.98/1.79	% SZS output start Refutation
7.98/1.79	thf(zip_tseitin_104_type, type, zip_tseitin_104: $o).
7.98/1.79	thf(zip_tseitin_21_type, type, zip_tseitin_21: $o).
7.98/1.79	thf(sk__15_type, type, sk__15: $i).
7.98/1.79	thf(sk__14_type, type, sk__14: $i).
7.98/1.79	thf(zip_tseitin_13_type, type, zip_tseitin_13: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_61_type, type, zip_tseitin_61: $o).
7.98/1.79	thf(q0_type, type, q0: $o).
7.98/1.79	thf(zip_tseitin_101_type, type, zip_tseitin_101: $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_10_type, type, zip_tseitin_10: $i > $o).
7.98/1.79	thf(zip_tseitin_58_type, type, zip_tseitin_58: $i > $o).
7.98/1.79	thf(zip_tseitin_72_type, type, zip_tseitin_72: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_24_type, type, zip_tseitin_24: $i > $o).
7.98/1.79	thf(sk__32_type, type, sk__32: $i).
7.98/1.79	thf(zip_tseitin_79_type, type, zip_tseitin_79: $o).
7.98/1.79	thf(eq_type, type, eq: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_23_type, type, zip_tseitin_23: $o).
7.98/1.79	thf(zip_tseitin_86_type, type, zip_tseitin_86: $i > $o).
7.98/1.79	thf(zip_tseitin_48_type, type, zip_tseitin_48: $o).
7.98/1.79	thf(zip_tseitin_69_type, type, zip_tseitin_69: $i > $i > $i > $o).
7.98/1.79	thf(sk__57_type, type, sk__57: $i).
7.98/1.79	thf(sk__29_type, type, sk__29: $i).
7.98/1.79	thf(s_type, type, s: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_28_type, type, zip_tseitin_28: $i > $i > $i > $i > $o).
7.98/1.79	thf(g_type, type, g: $i > $o).
7.98/1.79	thf(sk__50_type, type, sk__50: $i > $i).
7.98/1.79	thf(zip_tseitin_46_type, type, zip_tseitin_46: $o).
7.98/1.79	thf(sk__31_type, type, sk__31: $i).
7.98/1.79	thf(zip_tseitin_71_type, type, zip_tseitin_71: $i > $o).
7.98/1.79	thf(zip_tseitin_108_type, type, zip_tseitin_108: $i > $i > $i > $i > $o).
7.98/1.79	thf(sk__12_type, type, sk__12: $i).
7.98/1.79	thf(p_type, type, p: $i > $i > $o).
7.98/1.79	thf(sk__19_type, type, sk__19: $i > $i).
7.98/1.79	thf(sk__52_type, type, sk__52: $i).
7.98/1.79	thf(zip_tseitin_26_type, type, zip_tseitin_26: $i > $i > $i > $i > $o).
7.98/1.79	thf(sk__36_type, type, sk__36: $i).
7.98/1.79	thf(zip_tseitin_54_type, type, zip_tseitin_54: $i > $i > $i > $o).
7.98/1.79	thf(sk__53_type, type, sk__53: $i).
7.98/1.79	thf(sk__38_type, type, sk__38: $i).
7.98/1.79	thf(zip_tseitin_52_type, type, zip_tseitin_52: $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_53_type, type, zip_tseitin_53: $o).
7.98/1.79	thf(sk__33_type, type, sk__33: $i).
7.98/1.79	thf(sk__26_type, type, sk__26: $i).
7.98/1.79	thf(zip_tseitin_1_type, type, zip_tseitin_1: $o).
7.98/1.79	thf(zip_tseitin_59_type, type, zip_tseitin_59: $o).
7.98/1.79	thf(zip_tseitin_96_type, type, zip_tseitin_96: $o).
7.98/1.79	thf(zip_tseitin_83_type, type, zip_tseitin_83: $o).
7.98/1.79	thf(zip_tseitin_4_type, type, zip_tseitin_4: $o).
7.98/1.79	thf(zip_tseitin_35_type, type, zip_tseitin_35: $i > $o).
7.98/1.79	thf(zip_tseitin_100_type, type, zip_tseitin_100: $o).
7.98/1.79	thf(zip_tseitin_87_type, type, zip_tseitin_87: $i > $o).
7.98/1.79	thf(zip_tseitin_60_type, type, zip_tseitin_60: $i > $o).
7.98/1.79	thf(zip_tseitin_76_type, type, zip_tseitin_76: $i > $i > $o).
7.98/1.79	thf(sk__9_type, type, sk__9: $i > $i).
7.98/1.79	thf(zip_tseitin_15_type, type, zip_tseitin_15: $i > $i > $o).
7.98/1.79	thf(f0_type, type, f0: $o).
7.98/1.79	thf(sk__20_type, type, sk__20: $i).
7.98/1.79	thf(sk__11_type, type, sk__11: $i).
7.98/1.79	thf(zip_tseitin_47_type, type, zip_tseitin_47: $o).
7.98/1.79	thf(b0_type, type, b0: $o).
7.98/1.79	thf(r_type, type, r: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_92_type, type, zip_tseitin_92: $o).
7.98/1.79	thf(sk__27_type, type, sk__27: $i > $i > $i).
7.98/1.79	thf(zip_tseitin_34_type, type, zip_tseitin_34: $i > $i > $o).
7.98/1.79	thf(sk__22_type, type, sk__22: $i).
7.98/1.79	thf(zip_tseitin_20_type, type, zip_tseitin_20: $i > $o).
7.98/1.79	thf(zip_tseitin_18_type, type, zip_tseitin_18: $i > $i > $i > $i > $o).
7.98/1.79	thf(sk__25_type, type, sk__25: $i).
7.98/1.79	thf(zip_tseitin_97_type, type, zip_tseitin_97: $i > $o).
7.98/1.79	thf(q_type, type, q: $i > $i > $o).
7.98/1.79	thf(sk__6_type, type, sk__6: $i).
7.98/1.79	thf(zip_tseitin_11_type, type, zip_tseitin_11: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
7.98/1.79	thf(q1_type, type, q1: $i > $o).
7.98/1.79	thf(zip_tseitin_105_type, type, zip_tseitin_105: $o).
7.98/1.79	thf(sk__43_type, type, sk__43: $i).
7.98/1.79	thf(sk__7_type, type, sk__7: $i).
7.98/1.79	thf(zip_tseitin_110_type, type, zip_tseitin_110: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_43_type, type, zip_tseitin_43: $i > $i > $o).
7.98/1.79	thf(sk__10_type, type, sk__10: $i).
7.98/1.79	thf(p1_type, type, p1: $i > $o).
7.98/1.79	thf(zip_tseitin_7_type, type, zip_tseitin_7: $o).
7.98/1.79	thf(zip_tseitin_19_type, type, zip_tseitin_19: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_6_type, type, zip_tseitin_6: $o).
7.98/1.79	thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $i > $o).
7.98/1.79	thf(sk__5_type, type, sk__5: $i > $i).
7.98/1.79	thf(zip_tseitin_55_type, type, zip_tseitin_55: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_74_type, type, zip_tseitin_74: $i > $i > $o).
7.98/1.79	thf(sk__47_type, type, sk__47: $i).
7.98/1.79	thf(z_type, type, z: $i).
7.98/1.79	thf(sk__49_type, type, sk__49: $i).
7.98/1.79	thf(sk__60_type, type, sk__60: $i).
7.98/1.79	thf(zip_tseitin_80_type, type, zip_tseitin_80: $o).
7.98/1.79	thf(zip_tseitin_30_type, type, zip_tseitin_30: $i > $o).
7.98/1.79	thf(zip_tseitin_75_type, type, zip_tseitin_75: $o).
7.98/1.79	thf(zip_tseitin_37_type, type, zip_tseitin_37: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_88_type, type, zip_tseitin_88: $i > $o).
7.98/1.79	thf(zip_tseitin_81_type, type, zip_tseitin_81: $i > $o).
7.98/1.79	thf(sk__42_type, type, sk__42: $i).
7.98/1.79	thf(zip_tseitin_39_type, type, zip_tseitin_39: $i > $o).
7.98/1.79	thf(sk__56_type, type, sk__56: $i).
7.98/1.79	thf(sk__8_type, type, sk__8: $i > $i).
7.98/1.79	thf(zip_tseitin_89_type, type, zip_tseitin_89: $o).
7.98/1.79	thf(sk__48_type, type, sk__48: $i).
7.98/1.79	thf(zip_tseitin_62_type, type, zip_tseitin_62: $i > $i > $i > $o).
7.98/1.79	thf(b_type, type, b: $i > $o).
7.98/1.79	thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_68_type, type, zip_tseitin_68: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_31_type, type, zip_tseitin_31: $i > $i > $o).
7.98/1.79	thf(a1_type, type, a1: $i > $o).
7.98/1.79	thf(sk__39_type, type, sk__39: $i).
7.98/1.79	thf(sk__type, type, sk_: $i).
7.98/1.79	thf(g0_type, type, g0: $o).
7.98/1.79	thf(zip_tseitin_85_type, type, zip_tseitin_85: $i > $o).
7.98/1.79	thf(sk__54_type, type, sk__54: $i).
7.98/1.79	thf(sk__41_type, type, sk__41: $i > $i).
7.98/1.79	thf(sk__45_type, type, sk__45: $i).
7.98/1.79	thf(zip_tseitin_9_type, type, zip_tseitin_9: $o).
7.98/1.79	thf(a0_type, type, a0: $o).
7.98/1.79	thf(zip_tseitin_3_type, type, zip_tseitin_3: $o).
7.98/1.79	thf(zip_tseitin_56_type, type, zip_tseitin_56: $i > $i > $i > $o).
7.98/1.79	thf(a_type, type, a: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_84_type, type, zip_tseitin_84: $i > $o).
7.98/1.79	thf(zip_tseitin_38_type, type, zip_tseitin_38: $i > $o).
7.98/1.79	thf(sk__3_type, type, sk__3: $i).
7.98/1.79	thf(zip_tseitin_65_type, type, zip_tseitin_65: $i > $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_67_type, type, zip_tseitin_67: $i > $i > $o).
7.98/1.79	thf(sk__46_type, type, sk__46: $i).
7.98/1.79	thf(r1_type, type, r1: $i > $o).
7.98/1.79	thf(zip_tseitin_77_type, type, zip_tseitin_77: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_29_type, type, zip_tseitin_29: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_94_type, type, zip_tseitin_94: $o).
7.98/1.79	thf(zip_tseitin_5_type, type, zip_tseitin_5: $o).
7.98/1.79	thf(zip_tseitin_95_type, type, zip_tseitin_95: $i > $i > $o).
7.98/1.79	thf(sk__1_type, type, sk__1: $i).
7.98/1.79	thf(zip_tseitin_44_type, type, zip_tseitin_44: $i > $i > $i > $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_90_type, type, zip_tseitin_90: $i > $o).
7.98/1.79	thf(zip_tseitin_106_type, type, zip_tseitin_106: $o).
7.98/1.79	thf(zip_tseitin_12_type, type, zip_tseitin_12: $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_42_type, type, zip_tseitin_42: $i > $o).
7.98/1.79	thf(zip_tseitin_49_type, type, zip_tseitin_49: $i > $i > $o).
7.98/1.79	thf(sk__13_type, type, sk__13: $i).
7.98/1.79	thf(s1_type, type, s1: $i > $o).
7.98/1.79	thf(zip_tseitin_82_type, type, zip_tseitin_82: $o).
7.98/1.79	thf(zip_tseitin_17_type, type, zip_tseitin_17: $i > $i > $i > $o).
7.98/1.79	thf(a_member_of_type, type, a_member_of: $i > $i > $o).
7.98/1.79	thf(sk__16_type, type, sk__16: $i).
7.98/1.79	thf(zip_tseitin_70_type, type, zip_tseitin_70: $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_51_type, type, zip_tseitin_51: $i > $i > $o).
7.98/1.79	thf(sk__23_type, type, sk__23: $i).
7.98/1.79	thf(zip_tseitin_99_type, type, zip_tseitin_99: $o).
7.98/1.79	thf(sk__37_type, type, sk__37: $i).
7.98/1.79	thf(sk__55_type, type, sk__55: $i).
7.98/1.79	thf(sk__58_type, type, sk__58: $i).
7.98/1.79	thf(zip_tseitin_63_type, type, zip_tseitin_63: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_64_type, type, zip_tseitin_64: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_93_type, type, zip_tseitin_93: $i > $o).
7.98/1.79	thf(sk__30_type, type, sk__30: $i).
7.98/1.79	thf(zip_tseitin_14_type, type, zip_tseitin_14: $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_98_type, type, zip_tseitin_98: $o).
7.98/1.79	thf(sk__21_type, type, sk__21: $i).
7.98/1.79	thf(zip_tseitin_25_type, type, zip_tseitin_25: $o).
7.98/1.79	thf(zip_tseitin_66_type, type, zip_tseitin_66: $i > $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_45_type, type, zip_tseitin_45: $i > $i > $o).
7.98/1.79	thf(c_type, type, c: $i > $o).
7.98/1.79	thf(zip_tseitin_36_type, type, zip_tseitin_36: $i > $o).
7.98/1.79	thf(zip_tseitin_107_type, type, zip_tseitin_107: $i > $i > $o).
7.98/1.79	thf(sk__17_type, type, sk__17: $i).
7.98/1.79	thf(zip_tseitin_50_type, type, zip_tseitin_50: $i > $i > $i > $o).
7.98/1.79	thf(sk__34_type, type, sk__34: $i).
7.98/1.79	thf(zip_tseitin_103_type, type, zip_tseitin_103: $i > $i > $o).
7.98/1.79	thf(sk__28_type, type, sk__28: $i).
7.98/1.79	thf(sk__18_type, type, sk__18: $i).
7.98/1.79	thf(sk__40_type, type, sk__40: $i).
7.98/1.79	thf(sk__44_type, type, sk__44: $i).
7.98/1.79	thf(sk__2_type, type, sk__2: $i).
7.98/1.79	thf(zip_tseitin_22_type, type, zip_tseitin_22: $o).
7.98/1.79	thf(f_type, type, f: $i > $i).
7.98/1.79	thf(sk__51_type, type, sk__51: $i).
7.98/1.79	thf(zip_tseitin_0_type, type, zip_tseitin_0: $o).
7.98/1.79	thf(zip_tseitin_109_type, type, zip_tseitin_109: $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_33_type, type, zip_tseitin_33: $i > $i > $i > $o).
7.98/1.79	thf(zip_tseitin_91_type, type, zip_tseitin_91: $i > $o).
7.98/1.79	thf(zip_tseitin_40_type, type, zip_tseitin_40: $i > $i > $i > $i > $o).
7.98/1.79	thf(sk__24_type, type, sk__24: $i).
7.98/1.79	thf(zip_tseitin_102_type, type, zip_tseitin_102: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_41_type, type, zip_tseitin_41: $i > $o).
7.98/1.79	thf(zip_tseitin_57_type, type, zip_tseitin_57: $i > $o).
7.98/1.79	thf(zip_tseitin_32_type, type, zip_tseitin_32: $i > $i > $o).
7.98/1.79	thf(e_type, type, e: $i > $o).
7.98/1.79	thf(zip_tseitin_73_type, type, zip_tseitin_73: $o).
7.98/1.79	thf(sk__59_type, type, sk__59: $i).
7.98/1.79	thf(zip_tseitin_78_type, type, zip_tseitin_78: $i > $i > $o).
7.98/1.79	thf(zip_tseitin_27_type, type, zip_tseitin_27: $i > $i > $i > $i > $o).
7.98/1.79	thf(sk__35_type, type, sk__35: $i).
7.98/1.79	thf(prove_this, conjecture,
7.98/1.79	  (( ![B:$i,C:$i]:
7.98/1.79	     ( ( q1 @ ( f @ B ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]:
7.98/1.79	         ( ( q1 @ X ) & 
7.98/1.79	           ( ( p1 @ ( f @ Y ) ) =>
7.98/1.79	             ( ( p1 @ X ) & ( ( r1 @ Y ) => ( ( r1 @ C ) & ( r1 @ B ) ) ) ) ) ) ) ) ) & 
7.98/1.79	   ( ( ( ![X:$i]: ( ( a1 @ X ) => ( ( b @ X ) | ( c @ X ) ) ) ) & 
7.98/1.79	       ( ~( ![X:$i]: ( ( a1 @ X ) => ( b @ X ) ) ) ) ) =>
7.98/1.79	     ( ?[X:$i]: ( ( c @ X ) & ( a1 @ X ) ) ) ) & 
7.98/1.79	   ( ![A:$i]:
7.98/1.79	     ( ?[X:$i,X2:$i,X3:$i,X4:$i,Y:$i]:
7.98/1.79	       ( ( ( ( e @ X ) => ( ( s @ X @ ( f @ X ) ) | ( g @ X ) ) ) & 
7.98/1.79	           ( ( s @ A @ Y ) => ( p1 @ Y ) ) & 
7.98/1.79	           ( ( e @ X2 ) => ( ( g @ X2 ) | ( c @ ( f @ X2 ) ) ) ) & 
7.98/1.79	           ( e @ A ) & ( p1 @ A ) ) =>
7.98/1.79	         ( ( ( c @ X4 ) & ( p1 @ X4 ) ) | ( ( g @ X3 ) & ( p1 @ X3 ) ) ) ) ) ) & 
7.98/1.79	   ( ![A:$i,B:$i,C:$i]:
7.98/1.79	     ( ( ( s1 @ B ) & ( r @ B @ C ) & 
7.98/1.79	         ( ![X:$i]: ( ( s1 @ X ) => ( p1 @ X ) ) ) & 
7.98/1.79	         ( ![X:$i,Y:$i]: ( ( r @ X @ Y ) => ( q @ X @ Y ) ) ) & ( s1 @ A ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]: ( ( q @ X @ Y ) & ( p1 @ X ) ) ) ) ) & 
7.98/1.79	   ( ( ( ?[Y:$i]: ( q1 @ Y ) ) & ( ![X:$i]: ( p1 @ X ) ) ) =>
7.98/1.79	     ( ?[Z:$i]: ( ![Y:$i]: ( ( p1 @ Y ) | ( r1 @ Z ) ) ) ) ) & 
7.98/1.79	   ( ( ![X:$i]: ( ?[Y:$i]: ( ( p1 @ X ) & ( q1 @ Y ) ) ) ) =>
7.98/1.79	     ( ?[Z:$i]: ( ![Y:$i]: ( ( p1 @ Y ) | ( r1 @ Z ) ) ) ) ) & 
7.98/1.79	   ( ( ![X:$i]: ( ?[Y:$i]: ( ( a @ Y @ Y ) & ( a @ X @ Y ) ) ) ) =>
7.98/1.79	     ( ?[Z:$i]: ( a @ Z @ Z ) ) ) & 
7.98/1.79	   ( ![A:$i,B:$i,C:$i]:
7.98/1.79	     ( ( ( s1 @ B ) & ( r @ B @ C ) & 
7.98/1.79	         ( ![X:$i,Y:$i]: ( ( r @ X @ Y ) => ( q @ X @ Y ) ) ) & 
7.98/1.79	         ( ![X:$i]: ( ( s1 @ X ) => ( p1 @ X ) ) ) & ( s1 @ A ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]: ( ( p1 @ X ) & ( q @ X @ Y ) ) ) ) ) & 
7.98/1.79	   ( ( ?[X:$i]: ( p1 @ X ) ) =>
7.98/1.79	     ( ( ( a0 ) => ( ( ( ~( b0 ) ) | ( b0 ) ) & ( ( q0 ) => ( q0 ) ) ) ) & 
7.98/1.79	       ( ?[X:$i]: ( p1 @ X ) ) ) ) & 
7.98/1.79	   ( ( ![X:$i]: ( p1 @ X ) ) => ( ?[Y:$i]: ( p1 @ Y ) ) ) & 
7.98/1.79	   ( ~( ?[Y:$i]: ( ![X:$i]: ( ( ~( a @ X @ X ) ) <=> ( a @ X @ Y ) ) ) ) ) & 
7.98/1.79	   ( ( ![X:$i]: ( p1 @ X ) ) =>
7.98/1.79	     ( ( ![X:$i]: ( p1 @ X ) ) & ( ![Y:$i]: ( p1 @ Y ) ) ) ) & 
7.98/1.79	   ( ( ![X:$i,Y:$i]:
7.98/1.79	       ( ( ![Z:$i]: ( ( a_member_of @ Z @ Y ) <=> ( a_member_of @ Z @ X ) ) ) <=>
7.98/1.79	         ( eq @ X @ Y ) ) ) =>
7.98/1.79	     ( ![A:$i,B:$i]: ( ( eq @ A @ B ) => ( eq @ B @ A ) ) ) ) & 
7.98/1.79	   ( ![A:$i,B:$i]:
7.98/1.79	     ( ( ![Y:$i]: ( ( q1 @ Y ) => ( p1 @ Y ) ) ) =>
7.98/1.79	       ( ?[X:$i]:
7.98/1.79	         ( ( ( q1 @ X ) => ( p1 @ B ) ) & ( ( p1 @ X ) => ( p1 @ A ) ) ) ) ) ) & 
7.98/1.79	   ( ![B:$i]:
7.98/1.79	     ( ( ( ![X:$i]: ( ( p1 @ X ) => ( q1 @ X ) ) ) & ( r1 @ B ) ) =>
7.98/1.79	       ( ( ![Y:$i]: ( ( r1 @ Y ) => ( p1 @ Y ) ) ) => ( q1 @ B ) ) ) ) & 
7.98/1.79	   ( ?[Y:$i]: ( ( ?[X:$i]: ( p1 @ X ) ) => ( p1 @ Y ) ) ) & 
7.98/1.79	   ( ( p1 @ z ) => ( p1 @ z ) ) & 
7.98/1.79	   ( ![A:$i]:
7.98/1.79	     ( ( ( ![X:$i]: ( ( q1 @ X ) & ( p1 @ X ) ) ) & ( ( f0 ) | ( g0 ) ) ) =>
7.98/1.79	       ( q1 @ A ) ) ) & 
7.98/1.79	   ( ( ( ?[Y:$i]: ( ( q1 @ Y ) => ( r1 @ Y ) ) ) & 
7.98/1.79	       ( ![X:$i]: ( ( p1 @ X ) => ( q1 @ X ) ) ) ) =>
7.98/1.79	     ( ?[Z:$i]: ( ( p1 @ Z ) => ( r1 @ Z ) ) ) ) & 
7.98/1.79	   ( ![B:$i]:
7.98/1.79	     ( ( ![Y:$i]: ( ( ( r1 @ B ) => ( r1 @ Y ) ) => ( p @ ( f @ Y ) @ Y ) ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]:
7.98/1.79	         ( ( p @ X @ Y ) & ( ( q @ ( f @ B ) @ B ) => ( q @ X @ Y ) ) ) ) ) ) & 
7.98/1.79	   ( ![A:$i,B:$i]:
7.98/1.79	     ( ?[X:$i,Y:$i]:
7.98/1.79	       ( ( ( q1 @ B ) & ( r1 @ B ) & ( ( s1 @ A ) => ( p @ X @ Y ) ) & 
7.98/1.79	           ( s1 @ A ) & ( r1 @ A ) & ( ( r1 @ Y ) => ( p @ B @ Y ) ) & 
7.98/1.79	           ( q1 @ A ) & ( ( q1 @ X ) => ( p @ X @ A ) ) ) =>
7.98/1.79	         ( p @ A @ B ) ) ) ) & 
7.98/1.79	   ( ( ( b0 ) & ( a0 ) ) => ( ( a0 ) <=> ( b0 ) ) ) & 
7.98/1.79	   ( ( ( b0 ) <=> ( a0 ) ) | ( b0 ) | ( a0 ) ) & 
7.98/1.79	   ( ( ![X:$i,Y:$i]: ( p @ X @ Y ) ) => ( ![X:$i]: ( p @ X @ X ) ) ) & 
7.98/1.79	   ( ( ?[X:$i]: ( p1 @ X ) ) => ( ?[Y:$i]: ( p1 @ Y ) ) ) & 
7.98/1.79	   ( ( ?[X:$i]: ( ![Y:$i]: ( p @ X @ Y ) ) ) =>
7.98/1.79	     ( ![Y:$i]: ( ?[X:$i]: ( p @ X @ Y ) ) ) ) & 
7.98/1.79	   ( ![A:$i,B:$i]:
7.98/1.79	     ( ?[X:$i,Y:$i]:
7.98/1.79	       ( ( ( p1 @ X ) => ( r1 @ Y ) ) => ( ( p1 @ A ) => ( r1 @ B ) ) ) ) ) & 
7.98/1.79	   ( ?[X:$i]: ( ![Y:$i]: ( ( p1 @ X ) => ( p1 @ Y ) ) ) ) & 
7.98/1.79	   ( ?[Z:$i]:
7.98/1.79	     ( ![X:$i]:
7.98/1.79	       ( ?[Y:$i]:
7.98/1.79	         ( ( ( ( p @ Z @ Y ) & ( p @ Y @ Z ) ) => ( p @ Y @ X ) ) & 
7.98/1.79	           ( ( p @ Y @ X ) => ( ?[W:$i]: ( p @ W @ Y ) ) ) ) ) ) ) & 
7.98/1.79	   ( ( ?[X:$i]: ( p1 @ X ) ) => ( ?[Z:$i]: ( p1 @ Z ) ) ) & 
7.98/1.79	   ( ( ?[Y:$i]: ( p1 @ Y ) ) <=> ( ?[X:$i]: ( p1 @ X ) ) ) & 
7.98/1.79	   ( ![A:$i,B:$i]: ( ( ![X:$i]: ( p1 @ X ) ) => ( ( p1 @ B ) & ( p1 @ A ) ) ) ) & 
7.98/1.79	   ( ( ?[Y:$i,X:$i]: ( a @ X @ Y ) ) <=> ( ?[X:$i,Y:$i]: ( a @ X @ Y ) ) ) & 
7.98/1.79	   ( ( ?[X:$i]: ( b @ X ) ) => ( ?[X:$i]: ( ( b @ X ) | ( a1 @ X ) ) ) ) & 
7.98/1.79	   ( ( ( ?[X:$i]: ( a1 @ X ) ) & ( ![X:$i]: ( b @ X ) ) ) =>
7.98/1.79	     ( ?[X:$i]: ( ( b @ X ) & ( a1 @ X ) ) ) ) & 
7.98/1.79	   ( ( ?[X:$i]: ( ( a1 @ X ) => ( b @ X ) ) ) =>
7.98/1.79	     ( ( ![X:$i]: ( a1 @ X ) ) => ( ?[X:$i]: ( b @ X ) ) ) ) & 
7.98/1.79	   ( ( ![X:$i]: ( ( a1 @ X ) => ( b @ X ) ) ) =>
7.98/1.79	     ( ( ?[X:$i]: ( a1 @ X ) ) => ( ?[X:$i]: ( b @ X ) ) ) ) & 
7.98/1.79	   ( ![A:$i,B:$i]:
7.98/1.79	     ( ( ![Z:$i]: ( ( q1 @ Z ) => ( p1 @ Z ) ) ) =>
7.98/1.79	       ( ?[X:$i]:
7.98/1.79	         ( ( ( p1 @ X ) => ( p1 @ A ) ) & ( ( q1 @ X ) => ( p1 @ B ) ) ) ) ) ) & 
7.98/1.79	   ( ( ![X:$i]: ( ( p1 @ X ) => ( q1 @ X ) ) ) =>
7.98/1.79	     ( ( ![X:$i]: ( p1 @ X ) ) => ( ![X:$i]: ( q1 @ X ) ) ) ) & 
7.98/1.79	   ( ![A:$i,B:$i]:
7.98/1.79	     ( ( ![Y:$i]: ( ( q1 @ Y ) => ( p1 @ Y ) ) ) =>
7.98/1.79	       ( ?[X:$i]:
7.98/1.79	         ( ( ( p1 @ X ) => ( p1 @ A ) ) & ( ( q1 @ X ) => ( p1 @ B ) ) ) ) ) ) & 
7.98/1.79	   ( ( ![X:$i]: ( p1 @ X ) ) => ( ![A:$i,B:$i]: ( ( p1 @ B ) & ( p1 @ A ) ) ) ) & 
7.98/1.79	   ( ![B:$i,C:$i]:
7.98/1.79	     ( ( ![Z:$i]: ( q1 @ ( f @ Z ) ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]:
7.98/1.79	         ( ( q1 @ X ) & 
7.98/1.79	           ( ( p1 @ ( f @ Y ) ) =>
7.98/1.79	             ( ( p1 @ X ) & ( ( r1 @ Y ) => ( ( r1 @ C ) & ( r1 @ B ) ) ) ) ) ) ) ) ) & 
7.98/1.79	   ( ![C:$i,B:$i]:
7.98/1.79	     ( ( ![Z:$i]: ( q1 @ ( f @ Z ) ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]:
7.98/1.79	         ( ( ( p1 @ ( f @ Y ) ) => ( p1 @ X ) ) & 
7.98/1.79	           ( ( r1 @ Y ) => ( ( r1 @ B ) & ( r1 @ C ) ) ) & ( q1 @ X ) ) ) ) ))).
7.98/1.79	thf(zf_stmt_0, axiom,
7.98/1.79	  (![Y:$i,B:$i,C:$i]:
7.98/1.79	   ( ( ( r1 @ Y ) => ( zip_tseitin_16 @ B @ C ) ) =>
7.98/1.79	     ( zip_tseitin_17 @ Y @ B @ C ) ))).
7.98/1.79	thf(zip_derived_cl32, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_17 @ X0 @ X1 @ X2) |  (r1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
7.98/1.79	thf(zf_stmt_1, axiom,
7.98/1.79	  (![B:$i,C:$i]:
7.98/1.79	   ( ( ( ![Z:$i]: ( q1 @ ( f @ Z ) ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]: ( zip_tseitin_18 @ Y @ X @ B @ C ) ) ) =>
7.98/1.79	     ( zip_tseitin_19 @ B @ C ) ))).
7.98/1.79	thf(zip_derived_cl34, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_19 @ X0 @ X1) | ~ (zip_tseitin_18 @ X2 @ X3 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_1])).
7.98/1.79	thf(zf_stmt_2, axiom,
7.98/1.79	  (![Y:$i,X:$i,B:$i,C:$i]:
7.98/1.79	   ( ( ( q1 @ X ) & ( zip_tseitin_17 @ Y @ B @ C ) & 
7.98/1.79	       ( zip_tseitin_15 @ Y @ X ) ) =>
7.98/1.79	     ( zip_tseitin_18 @ Y @ X @ B @ C ) ))).
7.98/1.79	thf(zip_derived_cl33, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       (~ (zip_tseitin_15 @ X0 @ X1)
7.98/1.79	        | ~ (q1 @ X1)
7.98/1.79	        | ~ (zip_tseitin_17 @ X0 @ X2 @ X3)
7.98/1.79	        |  (zip_tseitin_18 @ X0 @ X1 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_2])).
7.98/1.79	thf(zip_derived_cl501, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_19 @ X1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_15 @ X3 @ X2)
7.98/1.79	        | ~ (q1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_17 @ X3 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl33])).
7.98/1.79	thf(zip_derived_cl1445, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (r1 @ X2)
7.98/1.79	        |  (zip_tseitin_19 @ X1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_15 @ X2 @ X3)
7.98/1.79	        | ~ (q1 @ X3))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl501])).
7.98/1.79	thf(zip_derived_cl1669, plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]:
7.98/1.79	        ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3)))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]:
7.98/1.79	              ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1445])).
7.98/1.79	thf(zf_stmt_3, axiom,
7.98/1.79	  (![Y:$i,X:$i]:
7.98/1.79	   ( ( ( p1 @ ( f @ Y ) ) => ( p1 @ X ) ) => ( zip_tseitin_15 @ Y @ X ) ))).
7.98/1.79	thf(zip_derived_cl29, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) |  (p1 @ (f @ X0)))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_3])).
7.98/1.79	thf(zip_derived_cl1672, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (q1 @ X0) |  (r1 @ X1) |  (p1 @ (f @ X1))))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]:
7.98/1.79	              ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl1669, zip_derived_cl29])).
7.98/1.79	thf(zip_derived_cl1705, plain,
7.98/1.79	    ((![X1 : $i]: ( (r1 @ X1) |  (p1 @ (f @ X1))))
7.98/1.79	       <= ((![X1 : $i]: ( (r1 @ X1) |  (p1 @ (f @ X1)))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1672])).
7.98/1.79	thf(zip_derived_cl1669, plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]:
7.98/1.79	        ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3)))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]:
7.98/1.79	              ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1445])).
7.98/1.79	thf(zip_derived_cl28, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_3])).
7.98/1.79	thf(zip_derived_cl1671, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (q1 @ X0) |  (r1 @ X1) | ~ (p1 @ X0)))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]:
7.98/1.79	              ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl1669, zip_derived_cl28])).
7.98/1.79	thf(zip_derived_cl1676, plain,
7.98/1.79	    ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))
7.98/1.79	       <= ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf(zip_derived_cl35, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_19 @ X0 @ X1) |  (q1 @ (f @ X2)))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_1])).
7.98/1.79	thf(zip_derived_cl247, plain,
7.98/1.79	    ((![X2 : $i]:  (q1 @ (f @ X2))) <= ((![X2 : $i]:  (q1 @ (f @ X2))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl35])).
7.98/1.79	thf(zip_derived_cl1687, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ (f @ X0)))
7.98/1.79	       <= ((![X2 : $i]:  (q1 @ (f @ X2))) & 
7.98/1.79	           (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1676, zip_derived_cl247])).
7.98/1.79	thf(zip_derived_cl1939, plain,
7.98/1.79	    ((![X0 : $i]:  (r1 @ X0))
7.98/1.79	       <= ((![X2 : $i]:  (q1 @ (f @ X2))) & 
7.98/1.79	           (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) & 
7.98/1.79	           (![X1 : $i]: ( (r1 @ X1) |  (p1 @ (f @ X1)))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1705, zip_derived_cl1687])).
7.98/1.79	thf(zf_stmt_4, axiom,
7.98/1.79	  (![C:$i,B:$i]:
7.98/1.79	   ( ( ( q1 @ ( f @ B ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]: ( zip_tseitin_28 @ Y @ X @ C @ B ) ) ) =>
7.98/1.79	     ( zip_tseitin_29 @ C @ B ) ))).
7.98/1.79	thf(zip_derived_cl51, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_29 @ X0 @ X1) | ~ (zip_tseitin_28 @ X2 @ X3 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_4])).
7.98/1.79	thf(zf_stmt_5, axiom,
7.98/1.79	  (![Y:$i,X:$i,C:$i,B:$i]:
7.98/1.79	   ( ( ( zip_tseitin_27 @ Y @ X @ C @ B ) & ( q1 @ X ) ) =>
7.98/1.79	     ( zip_tseitin_28 @ Y @ X @ C @ B ) ))).
7.98/1.79	thf(zip_derived_cl50, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       (~ (q1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_27 @ X1 @ X0 @ X2 @ X3)
7.98/1.79	        |  (zip_tseitin_28 @ X1 @ X0 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_5])).
7.98/1.79	thf(zip_derived_cl565, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_29 @ X1 @ X0)
7.98/1.79	        | ~ (q1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_27 @ X3 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl50])).
7.98/1.79	thf(zf_stmt_6, axiom,
7.98/1.79	  (![Y:$i,X:$i,C:$i,B:$i]:
7.98/1.79	   ( ( ( p1 @ ( f @ Y ) ) => ( zip_tseitin_26 @ Y @ X @ C @ B ) ) =>
7.98/1.79	     ( zip_tseitin_27 @ Y @ X @ C @ B ) ))).
7.98/1.79	thf(zip_derived_cl49, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_27 @ X0 @ X1 @ X2 @ X3) |  (p1 @ (f @ X0)))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_6])).
7.98/1.79	thf(zip_derived_cl1495, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       (~ (q1 @ X2) |  (zip_tseitin_29 @ X1 @ X0) |  (p1 @ (f @ X3)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl565, zip_derived_cl49])).
7.98/1.79	thf('0', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_29 @ X1 @ X0)) | 
7.98/1.79	     (![X3 : $i]:  (p1 @ (f @ X3))) | (![X0 : $i]: ~ (q1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1495])).
7.98/1.79	thf(zf_stmt_7, axiom,
7.98/1.79	  (![Y:$i,X:$i,B:$i,A:$i]:
7.98/1.79	   ( ( ( zip_tseitin_65 @ Y @ X @ B @ A ) => ( p @ A @ B ) ) =>
7.98/1.79	     ( zip_tseitin_66 @ Y @ X @ B @ A ) ))).
7.98/1.79	thf(zip_derived_cl122, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_66 @ X0 @ X1 @ X2 @ X3)
7.98/1.79	        |  (zip_tseitin_65 @ X0 @ X1 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_7])).
7.98/1.79	thf(zf_stmt_8, type, zip_tseitin_110 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_9, axiom,
7.98/1.79	  (![B:$i,A:$i]:
7.98/1.79	   ( ( ( ![Y:$i]: ( zip_tseitin_32 @ Y @ Y ) ) =>
7.98/1.79	       ( ?[X:$i]: ( zip_tseitin_109 @ X @ B @ A ) ) ) =>
7.98/1.79	     ( zip_tseitin_110 @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_10, type, zip_tseitin_109 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_11, axiom,
7.98/1.79	  (![X:$i,B:$i,A:$i]:
7.98/1.79	   ( ( ( zip_tseitin_31 @ X @ A ) & ( zip_tseitin_32 @ X @ B ) ) =>
7.98/1.79	     ( zip_tseitin_109 @ X @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_12, type, zip_tseitin_108 : $i > $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_13, axiom,
7.98/1.79	  (![Y:$i,X:$i,B:$i,A:$i]:
7.98/1.79	   ( ( ( zip_tseitin_107 @ Y @ X ) => ( zip_tseitin_107 @ B @ A ) ) =>
7.98/1.79	     ( zip_tseitin_108 @ Y @ X @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_14, type, zip_tseitin_107 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_15, axiom,
7.98/1.79	  (![B:$i,A:$i]:
7.98/1.79	   ( ( ( p1 @ A ) => ( r1 @ B ) ) => ( zip_tseitin_107 @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_16, type, zip_tseitin_107 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_17, axiom,
7.98/1.79	  (![Y:$i,X:$i]:
7.98/1.79	   ( ( zip_tseitin_107 @ Y @ X ) => ( ( p1 @ X ) => ( r1 @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_18, type, zip_tseitin_106 : $o).
7.98/1.79	thf(zf_stmt_19, axiom,
7.98/1.79	  (( ( a0 ) | ( b0 ) | ( zip_tseitin_105 ) ) => ( zip_tseitin_106 ))).
7.98/1.79	thf(zf_stmt_20, type, zip_tseitin_105 : $o).
7.98/1.79	thf(zf_stmt_21, axiom, (( ( b0 ) <=> ( a0 ) ) => ( zip_tseitin_105 ))).
7.98/1.79	thf(zf_stmt_22, type, zip_tseitin_104 : $o).
7.98/1.79	thf(zf_stmt_23, axiom,
7.98/1.79	  (( ( ![X:$i,Y:$i]: ( zip_tseitin_102 @ Y @ X ) ) =>
7.98/1.79	     ( ![A:$i,B:$i]: ( zip_tseitin_103 @ B @ A ) ) ) =>
7.98/1.79	   ( zip_tseitin_104 ))).
7.98/1.79	thf(zf_stmt_24, type, zip_tseitin_103 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_25, axiom,
7.98/1.79	  (![B:$i,A:$i]:
7.98/1.79	   ( ( ( eq @ A @ B ) => ( eq @ B @ A ) ) => ( zip_tseitin_103 @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_26, type, zip_tseitin_102 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_27, axiom,
7.98/1.79	  (![Y:$i,X:$i]:
7.98/1.79	   ( ( zip_tseitin_102 @ Y @ X ) =>
7.98/1.79	     ( ( ![Z:$i]: ( zip_tseitin_101 @ Z @ Y @ X ) ) <=> ( eq @ X @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_28, type, zip_tseitin_101 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_29, axiom,
7.98/1.79	  (![Z:$i,Y:$i,X:$i]:
7.98/1.79	   ( ( zip_tseitin_101 @ Z @ Y @ X ) <=>
7.98/1.79	     ( ( a_member_of @ Z @ Y ) <=> ( a_member_of @ Z @ X ) ) ))).
7.98/1.79	thf(zf_stmt_30, type, zip_tseitin_100 : $o).
7.98/1.79	thf(zf_stmt_31, axiom,
7.98/1.79	  (( ( zip_tseitin_98 ) => ( zip_tseitin_99 ) ) => ( zip_tseitin_100 ))).
7.98/1.79	thf(zf_stmt_32, type, zip_tseitin_99 : $o).
7.98/1.79	thf(zf_stmt_33, axiom, (( ( a0 ) <=> ( b0 ) ) => ( zip_tseitin_99 ))).
7.98/1.79	thf(zf_stmt_34, type, zip_tseitin_98 : $o).
7.98/1.79	thf(zf_stmt_35, axiom, (( zip_tseitin_98 ) => ( ( a0 ) & ( b0 ) ))).
7.98/1.79	thf(zf_stmt_36, type, zip_tseitin_97 : $i > $o).
7.98/1.79	thf(zf_stmt_37, axiom,
7.98/1.79	  (![Y:$i]:
7.98/1.79	   ( ( ( ?[X:$i]: ( p1 @ X ) ) => ( p1 @ Y ) ) => ( zip_tseitin_97 @ Y ) ))).
7.98/1.79	thf(zf_stmt_38, type, zip_tseitin_96 : $o).
7.98/1.79	thf(zf_stmt_39, axiom,
7.98/1.79	  (( ( ?[X:$i]: ( ![Y:$i]: ( p @ X @ Y ) ) ) =>
7.98/1.79	     ( ![Y:$i]: ( ?[X:$i]: ( p @ X @ Y ) ) ) ) =>
7.98/1.79	   ( zip_tseitin_96 ))).thf(zf_stmt_40, type, zip_tseitin_95 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_41, axiom,
7.98/1.79	  (![B:$i,A:$i]:
7.98/1.79	   ( ( ( ![Z:$i]: ( zip_tseitin_32 @ Z @ Z ) ) =>
7.98/1.79	       ( ?[X:$i]: ( zip_tseitin_33 @ X @ B @ A ) ) ) =>
7.98/1.79	     ( zip_tseitin_95 @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_42, type, zip_tseitin_32 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_43, axiom,
7.98/1.79	  (![Z:$i]: ( ( zip_tseitin_32 @ Z @ Z ) => ( ( q1 @ Z ) => ( p1 @ Z ) ) ))).
7.98/1.79	thf(zf_stmt_44, type, zip_tseitin_94 : $o).
7.98/1.79	thf(zf_stmt_45, axiom,
7.98/1.79	  (( ( zip_tseitin_92 ) => ( ?[X:$i]: ( zip_tseitin_93 @ X ) ) ) =>
7.98/1.79	   ( zip_tseitin_94 ))).thf(zf_stmt_46, type, zip_tseitin_93 : $i > $o).
7.98/1.79	thf(zf_stmt_47, axiom,
7.98/1.79	  (![X:$i]: ( ( ( a1 @ X ) & ( c @ X ) ) => ( zip_tseitin_93 @ X ) ))).
7.98/1.79	thf(zf_stmt_48, type, zip_tseitin_92 : $o).
7.98/1.79	thf(zf_stmt_49, axiom,
7.98/1.79	  (( zip_tseitin_92 ) =>
7.98/1.79	   ( ( ~( ![X:$i]: ( zip_tseitin_2 @ X ) ) ) & 
7.98/1.79	     ( ![X:$i]: ( zip_tseitin_91 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_50, type, zip_tseitin_2 : $i > $o).
7.98/1.79	thf(zf_stmt_51, axiom,
7.98/1.79	  (![X:$i]: ( ( ( a1 @ X ) => ( b @ X ) ) => ( zip_tseitin_2 @ X ) ))).
7.98/1.79	thf(zf_stmt_52, type, zip_tseitin_91 : $i > $o).
7.98/1.79	thf(zf_stmt_53, axiom,
7.98/1.79	  (![X:$i]:
7.98/1.79	   ( ( zip_tseitin_91 @ X ) => ( ( a1 @ X ) => ( zip_tseitin_90 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_54, type, zip_tseitin_90 : $i > $o).
7.98/1.79	thf(zf_stmt_55, axiom,
7.98/1.79	  (![X:$i]: ( ( zip_tseitin_90 @ X ) => ( ( c @ X ) | ( b @ X ) ) ))).
7.98/1.79	thf(zf_stmt_56, type, zip_tseitin_89 : $o).
7.98/1.79	thf(zf_stmt_57, axiom,
7.98/1.79	  (( ( ![X:$i]: ( p1 @ X ) ) => ( ![A:$i,B:$i]: ( zip_tseitin_77 @ B @ A ) ) ) =>
7.98/1.79	   ( zip_tseitin_89 ))).thf(zf_stmt_58, type, zip_tseitin_88 : $i > $o).
7.98/1.79	thf(zf_stmt_59, axiom,
7.98/1.79	  (![B:$i]:
7.98/1.79	   ( ( ( zip_tseitin_85 @ B ) => ( zip_tseitin_87 @ B ) ) =>
7.98/1.79	     ( zip_tseitin_88 @ B ) ))).
7.98/1.79	thf(zf_stmt_60, type, zip_tseitin_87 : $i > $o).
7.98/1.79	thf(zf_stmt_61, axiom,
7.98/1.79	  (![B:$i]:
7.98/1.79	   ( ( ( ![Y:$i]: ( zip_tseitin_86 @ Y ) ) => ( q1 @ B ) ) =>
7.98/1.79	     ( zip_tseitin_87 @ B ) ))).
7.98/1.79	thf(zf_stmt_62, type, zip_tseitin_86 : $i > $o).
7.98/1.79	thf(zf_stmt_63, axiom,
7.98/1.79	  (![Y:$i]: ( ( zip_tseitin_86 @ Y ) => ( ( r1 @ Y ) => ( p1 @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_64, type, zip_tseitin_85 : $i > $o).
7.98/1.79	thf(zf_stmt_65, axiom,
7.98/1.79	  (![B:$i]:
7.98/1.79	   ( ( zip_tseitin_85 @ B ) =>
7.98/1.79	     ( ( r1 @ B ) & ( ![X:$i]: ( zip_tseitin_58 @ X ) ) ) ))).
7.98/1.79	thf(zf_stmt_66, type, zip_tseitin_84 : $i > $o).
7.98/1.79	thf(zf_stmt_67, axiom,
7.98/1.79	  (![A:$i]:
7.98/1.79	   ( ( ( zip_tseitin_83 ) => ( q1 @ A ) ) => ( zip_tseitin_84 @ A ) ))).
7.98/1.79	thf(zf_stmt_68, type, zip_tseitin_83 : $o).
7.98/1.79	thf(zf_stmt_69, axiom,
7.98/1.79	  (( zip_tseitin_83 ) =>
7.98/1.79	   ( ( zip_tseitin_82 ) & ( ![X:$i]: ( zip_tseitin_81 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_70, type, zip_tseitin_82 : $o).
7.98/1.79	thf(zf_stmt_71, axiom, (( zip_tseitin_82 ) => ( ( g0 ) | ( f0 ) ))).
7.98/1.79	thf(zf_stmt_72, type, zip_tseitin_81 : $i > $o).
7.98/1.79	thf(zf_stmt_73, axiom,
7.98/1.79	  (![X:$i]: ( ( zip_tseitin_81 @ X ) => ( ( p1 @ X ) & ( q1 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_74, type, zip_tseitin_80 : $o).
7.98/1.79	thf(zf_stmt_75, axiom,
7.98/1.79	  (( ( ![X:$i]: ( zip_tseitin_58 @ X ) ) => ( zip_tseitin_79 ) ) =>
7.98/1.79	   ( zip_tseitin_80 ))).thf(zf_stmt_76, type, zip_tseitin_79 : $o).
7.98/1.79	thf(zf_stmt_77, axiom,
7.98/1.79	  (( ( ![X:$i]: ( p1 @ X ) ) => ( ![X:$i]: ( q1 @ X ) ) ) =>
7.98/1.79	   ( zip_tseitin_79 ))).thf(zf_stmt_78, type, zip_tseitin_78 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_79, axiom,
7.98/1.79	  (![B:$i,A:$i]:
7.98/1.79	   ( ( ( ![X:$i]: ( p1 @ X ) ) => ( zip_tseitin_77 @ B @ A ) ) =>
7.98/1.79	     ( zip_tseitin_78 @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_80, type, zip_tseitin_77 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_81, axiom,
7.98/1.79	  (![B:$i,A:$i]:
7.98/1.79	   ( ( ( p1 @ A ) & ( p1 @ B ) ) => ( zip_tseitin_77 @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_82, type, zip_tseitin_76 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_83, axiom,
7.98/1.79	  (![X:$i,Y:$i]:
7.98/1.79	   ( ( zip_tseitin_76 @ X @ Y ) => ( ( ~( a @ X @ X ) ) <=> ( a @ X @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_84, type, zip_tseitin_75 : $o).
7.98/1.79	thf(zf_stmt_85, axiom,
7.98/1.79	  (( ( ![X:$i]: ( ?[Y:$i]: ( zip_tseitin_74 @ Y @ X ) ) ) =>
7.98/1.79	     ( ?[Z:$i]: ( a @ Z @ Z ) ) ) =>
7.98/1.79	   ( zip_tseitin_75 ))).thf(zf_stmt_86, type, zip_tseitin_74 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_87, axiom,
7.98/1.79	  (![Y:$i,X:$i]:
7.98/1.79	   ( ( zip_tseitin_74 @ Y @ X ) => ( ( a @ X @ Y ) & ( a @ Y @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_88, type, zip_tseitin_73 : $o).
7.98/1.79	thf(zf_stmt_89, axiom,
7.98/1.79	  (( ( ![X:$i,Y:$i]: ( p @ X @ Y ) ) => ( ![X:$i]: ( p @ X @ X ) ) ) =>
7.98/1.79	   ( zip_tseitin_73 ))).thf(zf_stmt_90, type, zip_tseitin_72 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_91, axiom,
7.98/1.79	  (![C:$i,B:$i]:
7.98/1.79	   ( ( ( ![Z:$i]: ( q1 @ ( f @ Z ) ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]: ( zip_tseitin_28 @ Y @ X @ C @ B ) ) ) =>
7.98/1.79	     ( zip_tseitin_72 @ C @ B ) ))).
7.98/1.79	thf(zf_stmt_92, type, zip_tseitin_71 : $i > $o).
7.98/1.79	thf(zf_stmt_93, axiom,
7.98/1.79	  (![B:$i]:
7.98/1.79	   ( ( ( ![Y:$i]: ( zip_tseitin_68 @ Y @ B ) ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]: ( zip_tseitin_70 @ Y @ X @ B ) ) ) =>
7.98/1.79	     ( zip_tseitin_71 @ B ) ))).
7.98/1.79	thf(zf_stmt_94, type, zip_tseitin_70 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_95, axiom,
7.98/1.79	  (![Y:$i,X:$i,B:$i]:
7.98/1.79	   ( ( ( zip_tseitin_69 @ Y @ X @ B ) & ( p @ X @ Y ) ) =>
7.98/1.79	     ( zip_tseitin_70 @ Y @ X @ B ) ))).
7.98/1.79	thf(zf_stmt_96, type, zip_tseitin_69 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_97, axiom,
7.98/1.79	  (![Y:$i,X:$i,B:$i]:
7.98/1.79	   ( ( ( q @ ( f @ B ) @ B ) => ( q @ X @ Y ) ) =>
7.98/1.79	     ( zip_tseitin_69 @ Y @ X @ B ) ))).
7.98/1.79	thf(zf_stmt_98, type, zip_tseitin_68 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_99, axiom,
7.98/1.79	  (![Y:$i,B:$i]:
7.98/1.79	   ( ( zip_tseitin_68 @ Y @ B ) =>
7.98/1.79	     ( ( zip_tseitin_67 @ Y @ B ) => ( p @ ( f @ Y ) @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_100, type, zip_tseitin_67 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_101, axiom,
7.98/1.79	  (![Y:$i,B:$i]:
7.98/1.79	   ( ( ( r1 @ B ) => ( r1 @ Y ) ) => ( zip_tseitin_67 @ Y @ B ) ))).
7.98/1.79	thf(zf_stmt_102, type, zip_tseitin_66 : $i > $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_103, type, zip_tseitin_65 : $i > $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_104, axiom,
7.98/1.79	  (![Y:$i,X:$i,B:$i,A:$i]:
7.98/1.79	   ( ( zip_tseitin_65 @ Y @ X @ B @ A ) =>
7.98/1.79	     ( ( zip_tseitin_64 @ X @ A ) & ( q1 @ A ) & 
7.98/1.79	       ( zip_tseitin_63 @ Y @ B ) & ( r1 @ A ) & ( s1 @ A ) & 
7.98/1.79	       ( zip_tseitin_62 @ Y @ X @ A ) & ( r1 @ B ) & ( q1 @ B ) ) ))).
7.98/1.79	thf(zf_stmt_105, type, zip_tseitin_64 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_106, axiom,
7.98/1.79	  (![X:$i,A:$i]:
7.98/1.79	   ( ( zip_tseitin_64 @ X @ A ) => ( ( q1 @ X ) => ( p @ X @ A ) ) ))).
7.98/1.79	thf(zf_stmt_107, type, zip_tseitin_63 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_108, axiom,
7.98/1.79	  (![Y:$i,B:$i]:
7.98/1.79	   ( ( zip_tseitin_63 @ Y @ B ) => ( ( r1 @ Y ) => ( p @ B @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_109, type, zip_tseitin_62 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_110, axiom,
7.98/1.79	  (![Y:$i,X:$i,A:$i]:
7.98/1.79	   ( ( zip_tseitin_62 @ Y @ X @ A ) => ( ( s1 @ A ) => ( p @ X @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_111, type, zip_tseitin_61 : $o).
7.98/1.79	thf(zf_stmt_112, axiom,
7.98/1.79	  (( ( zip_tseitin_59 ) => ( ?[Z:$i]: ( zip_tseitin_60 @ Z ) ) ) =>
7.98/1.79	   ( zip_tseitin_61 ))).thf(zf_stmt_113, type, zip_tseitin_60 : $i > $o).
7.98/1.79	thf(zf_stmt_114, axiom,
7.98/1.79	  (![Z:$i]: ( ( ( p1 @ Z ) => ( r1 @ Z ) ) => ( zip_tseitin_60 @ Z ) ))).
7.98/1.79	thf(zf_stmt_115, type, zip_tseitin_59 : $o).
7.98/1.79	thf(zf_stmt_116, axiom,
7.98/1.79	  (( zip_tseitin_59 ) =>
7.98/1.79	   ( ( ![X:$i]: ( zip_tseitin_58 @ X ) ) & 
7.98/1.79	     ( ?[Y:$i]: ( zip_tseitin_57 @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_117, type, zip_tseitin_58 : $i > $o).
7.98/1.79	thf(zf_stmt_118, axiom,
7.98/1.79	  (![X:$i]: ( ( zip_tseitin_58 @ X ) => ( ( p1 @ X ) => ( q1 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_119, type, zip_tseitin_57 : $i > $o).
7.98/1.79	thf(zf_stmt_120, axiom,
7.98/1.79	  (![Y:$i]: ( ( zip_tseitin_57 @ Y ) => ( ( q1 @ Y ) => ( r1 @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_121, type, zip_tseitin_56 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_122, axiom,
7.98/1.79	  (![C:$i,B:$i,A:$i]:
7.98/1.79	   ( ( ( zip_tseitin_54 @ C @ B @ A ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]: ( zip_tseitin_55 @ Y @ X ) ) ) =>
7.98/1.79	     ( zip_tseitin_56 @ C @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_123, type, zip_tseitin_55 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_124, axiom,
7.98/1.79	  (![Y:$i,X:$i]:
7.98/1.79	   ( ( ( q @ X @ Y ) & ( p1 @ X ) ) => ( zip_tseitin_55 @ Y @ X ) ))).
7.98/1.79	thf(zf_stmt_125, type, zip_tseitin_54 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_126, axiom,
7.98/1.79	  (![C:$i,B:$i,A:$i]:
7.98/1.79	   ( ( zip_tseitin_54 @ C @ B @ A ) =>
7.98/1.79	     ( ( s1 @ A ) & ( ![X:$i]: ( zip_tseitin_10 @ X ) ) & 
7.98/1.79	       ( ![X:$i,Y:$i]: ( zip_tseitin_11 @ Y @ X ) ) & ( r @ B @ C ) & 
7.98/1.79	       ( s1 @ B ) ) ))).thf(zf_stmt_127, type, zip_tseitin_53 : $o).
7.98/1.79	thf(zf_stmt_128, axiom,
7.98/1.79	  (( ( ?[Y:$i,X:$i]: ( a @ X @ Y ) ) <=> ( ?[X:$i,Y:$i]: ( a @ X @ Y ) ) ) =>
7.98/1.79	   ( zip_tseitin_53 ))).
7.98/1.79	thf(zf_stmt_129, type, zip_tseitin_52 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_130, axiom,
7.98/1.79	  (![Y:$i,X:$i,Z:$i]:
7.98/1.79	   ( ( ( zip_tseitin_51 @ Y @ X ) & ( zip_tseitin_50 @ Y @ X @ Z ) ) =>
7.98/1.79	     ( zip_tseitin_52 @ Y @ X @ Z ) ))).
7.98/1.79	thf(zf_stmt_131, type, zip_tseitin_51 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_132, axiom,
7.98/1.79	  (![Y:$i,X:$i]:
7.98/1.79	   ( ( ( p @ Y @ X ) => ( ?[W:$i]: ( p @ W @ Y ) ) ) =>
7.98/1.79	     ( zip_tseitin_51 @ Y @ X ) ))).
7.98/1.79	thf(zf_stmt_133, type, zip_tseitin_50 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_134, axiom,
7.98/1.79	  (![Y:$i,X:$i,Z:$i]:
7.98/1.79	   ( ( ( zip_tseitin_49 @ Y @ Z ) => ( p @ Y @ X ) ) =>
7.98/1.79	     ( zip_tseitin_50 @ Y @ X @ Z ) ))).
7.98/1.79	thf(zf_stmt_135, type, zip_tseitin_49 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_136, axiom,
7.98/1.79	  (![Y:$i,Z:$i]:
7.98/1.79	   ( ( zip_tseitin_49 @ Y @ Z ) => ( ( p @ Y @ Z ) & ( p @ Z @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_137, type, zip_tseitin_48 : $o).
7.98/1.79	thf(zf_stmt_138, axiom,
7.98/1.79	  (( ( ?[Y:$i]: ( p1 @ Y ) ) <=> ( ?[X:$i]: ( p1 @ X ) ) ) =>
7.98/1.79	   ( zip_tseitin_48 ))).thf(zf_stmt_139, type, zip_tseitin_47 : $o).
7.98/1.79	thf(zf_stmt_140, axiom,
7.98/1.79	  (( ( ?[X:$i]: ( p1 @ X ) ) => ( ?[Y:$i]: ( p1 @ Y ) ) ) =>
7.98/1.79	   ( zip_tseitin_47 ))).thf(zf_stmt_141, type, zip_tseitin_46 : $o).
7.98/1.79	thf(zf_stmt_142, axiom,
7.98/1.79	  (( ( ![X:$i]: ( ?[Y:$i]: ( zip_tseitin_45 @ Y @ X ) ) ) =>
7.98/1.79	     ( ?[Z:$i]: ( ![Y:$i]: ( zip_tseitin_8 @ Y @ Z ) ) ) ) =>
7.98/1.79	   ( zip_tseitin_46 ))).
7.98/1.79	thf(zf_stmt_143, type, zip_tseitin_45 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_144, axiom,
7.98/1.79	  (![Y:$i,X:$i]:
7.98/1.79	   ( ( zip_tseitin_45 @ Y @ X ) => ( ( q1 @ Y ) & ( p1 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_145, type, zip_tseitin_44 : $i > $i > $i > $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_146, axiom,
7.98/1.79	  (![Y:$i,X4:$i,X3:$i,X2:$i,X:$i,A:$i]:
7.98/1.79	   ( ( ( zip_tseitin_40 @ Y @ X2 @ X @ A ) => ( zip_tseitin_43 @ X4 @ X3 ) ) =>
7.98/1.79	     ( zip_tseitin_44 @ Y @ X4 @ X3 @ X2 @ X @ A ) ))).
7.98/1.79	thf(zf_stmt_147, type, zip_tseitin_43 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_148, axiom,
7.98/1.79	  (![X4:$i,X3:$i]:
7.98/1.79	   ( ( ( zip_tseitin_42 @ X3 ) | ( zip_tseitin_41 @ X4 ) ) =>
7.98/1.79	     ( zip_tseitin_43 @ X4 @ X3 ) ))).
7.98/1.79	thf(zf_stmt_149, type, zip_tseitin_42 : $i > $o).
7.98/1.79	thf(zf_stmt_150, axiom,
7.98/1.79	  (![X3:$i]: ( ( ( p1 @ X3 ) & ( g @ X3 ) ) => ( zip_tseitin_42 @ X3 ) ))).
7.98/1.79	thf(zf_stmt_151, type, zip_tseitin_41 : $i > $o).
7.98/1.79	thf(zf_stmt_152, axiom,
7.98/1.79	  (![X4:$i]: ( ( ( p1 @ X4 ) & ( c @ X4 ) ) => ( zip_tseitin_41 @ X4 ) ))).
7.98/1.79	thf(zf_stmt_153, type, zip_tseitin_40 : $i > $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_154, axiom,
7.98/1.79	  (![Y:$i,X2:$i,X:$i,A:$i]:
7.98/1.79	   ( ( zip_tseitin_40 @ Y @ X2 @ X @ A ) =>
7.98/1.79	     ( ( p1 @ A ) & ( e @ A ) & ( zip_tseitin_39 @ X2 ) & 
7.98/1.79	       ( zip_tseitin_37 @ Y @ A ) & ( zip_tseitin_36 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_155, type, zip_tseitin_39 : $i > $o).
7.98/1.79	thf(zf_stmt_156, axiom,
7.98/1.79	  (![X2:$i]:
7.98/1.79	   ( ( zip_tseitin_39 @ X2 ) => ( ( e @ X2 ) => ( zip_tseitin_38 @ X2 ) ) ))).
7.98/1.79	thf(zf_stmt_157, type, zip_tseitin_38 : $i > $o).
7.98/1.79	thf(zf_stmt_158, axiom,
7.98/1.79	  (![X2:$i]:
7.98/1.79	   ( ( zip_tseitin_38 @ X2 ) => ( ( c @ ( f @ X2 ) ) | ( g @ X2 ) ) ))).
7.98/1.79	thf(zf_stmt_159, type, zip_tseitin_37 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_160, axiom,
7.98/1.79	  (![Y:$i,A:$i]:
7.98/1.79	   ( ( zip_tseitin_37 @ Y @ A ) => ( ( s @ A @ Y ) => ( p1 @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_161, type, zip_tseitin_36 : $i > $o).
7.98/1.79	thf(zf_stmt_162, axiom,
7.98/1.79	  (![X:$i]:
7.98/1.79	   ( ( zip_tseitin_36 @ X ) => ( ( e @ X ) => ( zip_tseitin_35 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_163, type, zip_tseitin_35 : $i > $o).
7.98/1.79	thf(zf_stmt_164, axiom,
7.98/1.79	  (![X:$i]:
7.98/1.79	   ( ( zip_tseitin_35 @ X ) => ( ( g @ X ) | ( s @ X @ ( f @ X ) ) ) ))).
7.98/1.79	thf(zf_stmt_165, type, zip_tseitin_34 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_166, axiom,
7.98/1.79	  (![B:$i,A:$i]:
7.98/1.79	   ( ( ( ![Y:$i]: ( zip_tseitin_30 @ Y ) ) =>
7.98/1.79	       ( ?[X:$i]: ( zip_tseitin_33 @ X @ B @ A ) ) ) =>
7.98/1.79	     ( zip_tseitin_34 @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_167, type, zip_tseitin_33 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_168, axiom,
7.98/1.79	  (![X:$i,B:$i,A:$i]:
7.98/1.79	   ( ( ( zip_tseitin_32 @ X @ B ) & ( zip_tseitin_31 @ X @ A ) ) =>
7.98/1.79	     ( zip_tseitin_33 @ X @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_169, type, zip_tseitin_32 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_170, axiom,
7.98/1.79	  (![X:$i,B:$i]:
7.98/1.79	   ( ( ( q1 @ X ) => ( p1 @ B ) ) => ( zip_tseitin_32 @ X @ B ) ))).
7.98/1.79	thf(zf_stmt_171, type, zip_tseitin_31 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_172, axiom,
7.98/1.79	  (![X:$i,A:$i]:
7.98/1.79	   ( ( ( p1 @ X ) => ( p1 @ A ) ) => ( zip_tseitin_31 @ X @ A ) ))).
7.98/1.79	thf(zf_stmt_173, type, zip_tseitin_30 : $i > $o).
7.98/1.79	thf(zf_stmt_174, axiom,
7.98/1.79	  (![Y:$i]: ( ( zip_tseitin_30 @ Y ) => ( ( q1 @ Y ) => ( p1 @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_175, type, zip_tseitin_29 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_176, type, zip_tseitin_28 : $i > $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_177, type, zip_tseitin_27 : $i > $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_178, type, zip_tseitin_26 : $i > $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_179, axiom,
7.98/1.79	  (![Y:$i,X:$i,C:$i,B:$i]:
7.98/1.79	   ( ( ( zip_tseitin_17 @ Y @ C @ B ) & ( p1 @ X ) ) =>
7.98/1.79	     ( zip_tseitin_26 @ Y @ X @ C @ B ) ))).
7.98/1.79	thf(zf_stmt_180, type, zip_tseitin_25 : $o).
7.98/1.79	thf(zf_stmt_181, axiom,
7.98/1.79	  (( ( zip_tseitin_23 ) => ( ?[X:$i]: ( zip_tseitin_24 @ X ) ) ) =>
7.98/1.79	   ( zip_tseitin_25 ))).thf(zf_stmt_182, type, zip_tseitin_24 : $i > $o).
7.98/1.79	thf(zf_stmt_183, axiom,
7.98/1.79	  (![X:$i]: ( ( ( a1 @ X ) & ( b @ X ) ) => ( zip_tseitin_24 @ X ) ))).
7.98/1.79	thf(zf_stmt_184, type, zip_tseitin_23 : $o).
7.98/1.79	thf(zf_stmt_185, axiom,
7.98/1.79	  (( zip_tseitin_23 ) => ( ( ![X:$i]: ( b @ X ) ) & ( ?[X:$i]: ( a1 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_186, type, zip_tseitin_22 : $o).
7.98/1.79	thf(zf_stmt_187, axiom,
7.98/1.79	  (( ( ![X:$i]: ( p1 @ X ) ) => ( ?[Y:$i]: ( p1 @ Y ) ) ) =>
7.98/1.79	   ( zip_tseitin_22 ))).thf(zf_stmt_188, type, zip_tseitin_21 : $o).
7.98/1.79	thf(zf_stmt_189, axiom,
7.98/1.79	  (( ( ?[X:$i]: ( b @ X ) ) => ( ?[X:$i]: ( zip_tseitin_20 @ X ) ) ) =>
7.98/1.79	   ( zip_tseitin_21 ))).thf(zf_stmt_190, type, zip_tseitin_20 : $i > $o).
7.98/1.79	thf(zf_stmt_191, axiom,
7.98/1.79	  (![X:$i]: ( ( ( a1 @ X ) | ( b @ X ) ) => ( zip_tseitin_20 @ X ) ))).
7.98/1.79	thf(zf_stmt_192, type, zip_tseitin_19 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_193, type, zip_tseitin_18 : $i > $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_194, type, zip_tseitin_17 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_195, type, zip_tseitin_16 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_196, axiom,
7.98/1.79	  (![B:$i,C:$i]:
7.98/1.79	   ( ( ( r1 @ C ) & ( r1 @ B ) ) => ( zip_tseitin_16 @ B @ C ) ))).
7.98/1.79	thf(zf_stmt_197, type, zip_tseitin_15 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_198, type, zip_tseitin_14 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_199, axiom,
7.98/1.79	  (![C:$i,B:$i,A:$i]:
7.98/1.79	   ( ( ( zip_tseitin_12 @ C @ B @ A ) =>
7.98/1.79	       ( ?[X:$i,Y:$i]: ( zip_tseitin_13 @ Y @ X ) ) ) =>
7.98/1.79	     ( zip_tseitin_14 @ C @ B @ A ) ))).
7.98/1.79	thf(zf_stmt_200, type, zip_tseitin_13 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_201, axiom,
7.98/1.79	  (![Y:$i,X:$i]:
7.98/1.79	   ( ( ( p1 @ X ) & ( q @ X @ Y ) ) => ( zip_tseitin_13 @ Y @ X ) ))).
7.98/1.79	thf(zf_stmt_202, type, zip_tseitin_12 : $i > $i > $i > $o).
7.98/1.79	thf(zf_stmt_203, axiom,
7.98/1.79	  (![C:$i,B:$i,A:$i]:
7.98/1.79	   ( ( zip_tseitin_12 @ C @ B @ A ) =>
7.98/1.79	     ( ( s1 @ A ) & ( ![X:$i,Y:$i]: ( zip_tseitin_11 @ Y @ X ) ) & 
7.98/1.79	       ( ![X:$i]: ( zip_tseitin_10 @ X ) ) & ( r @ B @ C ) & ( s1 @ B ) ) ))).
7.98/1.79	thf(zf_stmt_204, type, zip_tseitin_11 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_205, axiom,
7.98/1.79	  (![Y:$i,X:$i]:
7.98/1.79	   ( ( zip_tseitin_11 @ Y @ X ) => ( ( r @ X @ Y ) => ( q @ X @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_206, type, zip_tseitin_10 : $i > $o).
7.98/1.79	thf(zf_stmt_207, axiom,
7.98/1.79	  (![X:$i]: ( ( zip_tseitin_10 @ X ) => ( ( s1 @ X ) => ( p1 @ X ) ) ))).
7.98/1.79	thf(zf_stmt_208, type, zip_tseitin_9 : $o).
7.98/1.79	thf(zf_stmt_209, axiom,
7.98/1.79	  (( ( zip_tseitin_7 ) => ( ?[Z:$i]: ( ![Y:$i]: ( zip_tseitin_8 @ Y @ Z ) ) ) ) =>
7.98/1.79	   ( zip_tseitin_9 ))).thf(zf_stmt_210, type, zip_tseitin_8 : $i > $i > $o).
7.98/1.79	thf(zf_stmt_211, axiom,
7.98/1.79	  (![Y:$i,Z:$i]: ( ( ( r1 @ Z ) | ( p1 @ Y ) ) => ( zip_tseitin_8 @ Y @ Z ) ))).
7.98/1.79	thf(zf_stmt_212, type, zip_tseitin_7 : $o).
7.98/1.79	thf(zf_stmt_213, axiom,
7.98/1.79	  (( zip_tseitin_7 ) => ( ( ![X:$i]: ( p1 @ X ) ) & ( ?[Y:$i]: ( q1 @ Y ) ) ))).
7.98/1.79	thf(zf_stmt_214, type, zip_tseitin_6 : $o).
7.98/1.79	thf(zf_stmt_215, axiom,
7.98/1.79	  (( ( ?[X:$i]: ( zip_tseitin_2 @ X ) ) => ( zip_tseitin_5 ) ) =>
7.98/1.79	   ( zip_tseitin_6 ))).thf(zf_stmt_216, type, zip_tseitin_5 : $o).
7.98/1.79	thf(zf_stmt_217, axiom,
7.98/1.79	  (( ( ![X:$i]: ( a1 @ X ) ) => ( ?[X:$i]: ( b @ X ) ) ) => ( zip_tseitin_5 ))).
7.98/1.79	thf(zf_stmt_218, type, zip_tseitin_4 : $o).
7.98/1.79	thf(zf_stmt_219, axiom,
7.98/1.79	  (( ( ![X:$i]: ( zip_tseitin_2 @ X ) ) => ( zip_tseitin_3 ) ) =>
7.98/1.79	   ( zip_tseitin_4 ))).thf(zf_stmt_220, type, zip_tseitin_3 : $o).
7.98/1.79	thf(zf_stmt_221, axiom,
7.98/1.79	  (( ( ?[X:$i]: ( a1 @ X ) ) => ( ?[X:$i]: ( b @ X ) ) ) => ( zip_tseitin_3 ))).
7.98/1.79	thf(zf_stmt_222, type, zip_tseitin_2 : $i > $o).
7.98/1.79	thf(zf_stmt_223, axiom,
7.98/1.79	  (![X:$i]: ( ( zip_tseitin_2 @ X ) => ( ( a1 @ X ) => ( b @ X ) ) ))).
7.98/1.79	thf(zf_stmt_224, type, zip_tseitin_1 : $o).
7.98/1.79	thf(zf_stmt_225, axiom,
7.98/1.79	  (( ( ![X:$i]: ( p1 @ X ) ) => ( zip_tseitin_0 ) ) => ( zip_tseitin_1 ))).
7.98/1.79	thf(zf_stmt_226, type, zip_tseitin_0 : $o).
7.98/1.79	thf(zf_stmt_227, axiom,
7.98/1.79	  (( ( ![Y:$i]: ( p1 @ Y ) ) & ( ![X:$i]: ( p1 @ X ) ) ) => ( zip_tseitin_0 ))).
7.98/1.79	thf(zf_stmt_228, conjecture,
7.98/1.79	  (( ![A:$i,B:$i]: ( zip_tseitin_110 @ B @ A ) ) & ( zip_tseitin_47 ) & 
7.98/1.79	   ( ![A:$i,B:$i]: ( ?[X:$i,Y:$i]: ( zip_tseitin_108 @ Y @ X @ B @ A ) ) ) & 
7.98/1.79	   ( zip_tseitin_106 ) & ( zip_tseitin_104 ) & ( zip_tseitin_100 ) & 
7.98/1.79	   ( ?[Y:$i]: ( zip_tseitin_97 @ Y ) ) & ( zip_tseitin_96 ) & 
7.98/1.79	   ( ![A:$i,B:$i]: ( zip_tseitin_95 @ B @ A ) ) & ( zip_tseitin_94 ) & 
7.98/1.79	   ( zip_tseitin_89 ) & ( zip_tseitin_47 ) & 
7.98/1.79	   ( ![B:$i]: ( zip_tseitin_88 @ B ) ) & 
7.98/1.79	   ( ![A:$i]: ( zip_tseitin_84 @ A ) ) & ( zip_tseitin_80 ) & 
7.98/1.79	   ( ![A:$i,B:$i]: ( zip_tseitin_78 @ B @ A ) ) & 
7.98/1.79	   ( ~( ?[Y:$i]: ( ![X:$i]: ( zip_tseitin_76 @ X @ Y ) ) ) ) & 
7.98/1.79	   ( zip_tseitin_75 ) & ( zip_tseitin_73 ) & 
7.98/1.79	   ( ?[X:$i]: ( ![Y:$i]: ( zip_tseitin_31 @ X @ Y ) ) ) & 
7.98/1.79	   ( ![B:$i,C:$i]: ( zip_tseitin_72 @ C @ B ) ) & 
7.98/1.79	   ( ![B:$i]: ( zip_tseitin_71 @ B ) ) & 
7.98/1.79	   ( ![A:$i,B:$i]: ( ?[X:$i,Y:$i]: ( zip_tseitin_66 @ Y @ X @ B @ A ) ) ) & 
7.98/1.79	   ( zip_tseitin_61 ) & 
7.98/1.79	   ( ![A:$i,B:$i,C:$i]: ( zip_tseitin_56 @ C @ B @ A ) ) & 
7.98/1.79	   ( zip_tseitin_53 ) & 
7.98/1.79	   ( ?[Z:$i]: ( ![X:$i]: ( ?[Y:$i]: ( zip_tseitin_52 @ Y @ X @ Z ) ) ) ) & 
7.98/1.79	   ( zip_tseitin_48 ) & ( zip_tseitin_47 ) & ( zip_tseitin_46 ) & 
7.98/1.79	   ( ![A:$i]:
7.98/1.79	     ( ?[X:$i,X2:$i,X3:$i,X4:$i,Y:$i]:
7.98/1.79	       ( zip_tseitin_44 @ Y @ X4 @ X3 @ X2 @ X @ A ) ) ) & 
7.98/1.79	   ( ![A:$i,B:$i]: ( zip_tseitin_34 @ B @ A ) ) & 
7.98/1.79	   ( ![B:$i,C:$i]: ( zip_tseitin_29 @ C @ B ) ) & ( zip_tseitin_25 ) & 
7.98/1.79	   ( zip_tseitin_22 ) & ( zip_tseitin_21 ) & 
7.98/1.79	   ( ![C:$i,B:$i]: ( zip_tseitin_19 @ B @ C ) ) & 
7.98/1.79	   ( ![A:$i,B:$i,C:$i]: ( zip_tseitin_14 @ C @ B @ A ) ) & 
7.98/1.79	   ( zip_tseitin_9 ) & ( zip_tseitin_6 ) & ( zip_tseitin_4 ) & 
7.98/1.79	   ( zip_tseitin_1 ))).
7.98/1.79	thf(zf_stmt_229, negated_conjecture,
7.98/1.79	  (~( ( ![A:$i,B:$i]: ( zip_tseitin_110 @ B @ A ) ) & ( zip_tseitin_47 ) & 
7.98/1.79	      ( ![A:$i,B:$i]: ( ?[X:$i,Y:$i]: ( zip_tseitin_108 @ Y @ X @ B @ A ) ) ) & 
7.98/1.79	      ( zip_tseitin_106 ) & ( zip_tseitin_104 ) & ( zip_tseitin_100 ) & 
7.98/1.79	      ( ?[Y:$i]: ( zip_tseitin_97 @ Y ) ) & ( zip_tseitin_96 ) & 
7.98/1.79	      ( ![A:$i,B:$i]: ( zip_tseitin_95 @ B @ A ) ) & ( zip_tseitin_94 ) & 
7.98/1.79	      ( zip_tseitin_89 ) & ( zip_tseitin_47 ) & 
7.98/1.79	      ( ![B:$i]: ( zip_tseitin_88 @ B ) ) & 
7.98/1.79	      ( ![A:$i]: ( zip_tseitin_84 @ A ) ) & ( zip_tseitin_80 ) & 
7.98/1.79	      ( ![A:$i,B:$i]: ( zip_tseitin_78 @ B @ A ) ) & 
7.98/1.79	      ( ~( ?[Y:$i]: ( ![X:$i]: ( zip_tseitin_76 @ X @ Y ) ) ) ) & 
7.98/1.79	      ( zip_tseitin_75 ) & ( zip_tseitin_73 ) & 
7.98/1.79	      ( ?[X:$i]: ( ![Y:$i]: ( zip_tseitin_31 @ X @ Y ) ) ) & 
7.98/1.79	      ( ![B:$i,C:$i]: ( zip_tseitin_72 @ C @ B ) ) & 
7.98/1.79	      ( ![B:$i]: ( zip_tseitin_71 @ B ) ) & 
7.98/1.79	      ( ![A:$i,B:$i]: ( ?[X:$i,Y:$i]: ( zip_tseitin_66 @ Y @ X @ B @ A ) ) ) & 
7.98/1.79	      ( zip_tseitin_61 ) & 
7.98/1.79	      ( ![A:$i,B:$i,C:$i]: ( zip_tseitin_56 @ C @ B @ A ) ) & 
7.98/1.79	      ( zip_tseitin_53 ) & 
7.98/1.79	      ( ?[Z:$i]: ( ![X:$i]: ( ?[Y:$i]: ( zip_tseitin_52 @ Y @ X @ Z ) ) ) ) & 
7.98/1.79	      ( zip_tseitin_48 ) & ( zip_tseitin_47 ) & ( zip_tseitin_46 ) & 
7.98/1.79	      ( ![A:$i]:
7.98/1.79	        ( ?[X:$i,X2:$i,X3:$i,X4:$i,Y:$i]:
7.98/1.79	          ( zip_tseitin_44 @ Y @ X4 @ X3 @ X2 @ X @ A ) ) ) & 
7.98/1.79	      ( ![A:$i,B:$i]: ( zip_tseitin_34 @ B @ A ) ) & 
7.98/1.79	      ( ![B:$i,C:$i]: ( zip_tseitin_29 @ C @ B ) ) & ( zip_tseitin_25 ) & 
7.98/1.79	      ( zip_tseitin_22 ) & ( zip_tseitin_21 ) & 
7.98/1.79	      ( ![C:$i,B:$i]: ( zip_tseitin_19 @ B @ C ) ) & 
7.98/1.79	      ( ![A:$i,B:$i,C:$i]: ( zip_tseitin_14 @ C @ B @ A ) ) & 
7.98/1.79	      ( zip_tseitin_9 ) & ( zip_tseitin_6 ) & ( zip_tseitin_4 ) & 
7.98/1.79	      ( zip_tseitin_1 ) )),
7.98/1.79	  inference('cnf.neg', [status(esa)], [zf_stmt_228])).
7.98/1.79	thf(zip_derived_cl209, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, 
7.98/1.79	       X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	       (~ (zip_tseitin_110 @ sk__31 @ sk__30)
7.98/1.79	        | ~ (zip_tseitin_47)
7.98/1.79	        | ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32)
7.98/1.79	        | ~ (zip_tseitin_106)
7.98/1.79	        | ~ (zip_tseitin_104)
7.98/1.79	        | ~ (zip_tseitin_100)
7.98/1.79	        | ~ (zip_tseitin_97 @ X2)
7.98/1.79	        | ~ (zip_tseitin_96)
7.98/1.79	        | ~ (zip_tseitin_95 @ sk__35 @ sk__34)
7.98/1.79	        | ~ (zip_tseitin_94)
7.98/1.79	        | ~ (zip_tseitin_89)
7.98/1.79	        | ~ (zip_tseitin_47)
7.98/1.79	        | ~ (zip_tseitin_88 @ sk__36)
7.98/1.79	        | ~ (zip_tseitin_84 @ sk__37)
7.98/1.79	        | ~ (zip_tseitin_80)
7.98/1.79	        | ~ (zip_tseitin_78 @ sk__39 @ sk__38)
7.98/1.79	        |  (zip_tseitin_76 @ X3 @ sk__40)
7.98/1.79	        | ~ (zip_tseitin_75)
7.98/1.79	        | ~ (zip_tseitin_73)
7.98/1.79	        | ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4))
7.98/1.79	        | ~ (zip_tseitin_72 @ sk__43 @ sk__42)
7.98/1.79	        | ~ (zip_tseitin_71 @ sk__44)
7.98/1.79	        | ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)
7.98/1.79	        | ~ (zip_tseitin_61)
7.98/1.79	        | ~ (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)
7.98/1.79	        | ~ (zip_tseitin_53)
7.98/1.79	        | ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)
7.98/1.79	        | ~ (zip_tseitin_48)
7.98/1.79	        | ~ (zip_tseitin_47)
7.98/1.79	        | ~ (zip_tseitin_46)
7.98/1.79	        | ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)
7.98/1.79	        | ~ (zip_tseitin_34 @ sk__53 @ sk__52)
7.98/1.79	        | ~ (zip_tseitin_29 @ sk__55 @ sk__54)
7.98/1.79	        | ~ (zip_tseitin_25)
7.98/1.79	        | ~ (zip_tseitin_22)
7.98/1.79	        | ~ (zip_tseitin_21)
7.98/1.79	        | ~ (zip_tseitin_19 @ sk__57 @ sk__56)
7.98/1.79	        | ~ (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)
7.98/1.79	        | ~ (zip_tseitin_9)
7.98/1.79	        | ~ (zip_tseitin_6)
7.98/1.79	        | ~ (zip_tseitin_4)
7.98/1.79	        | ~ (zip_tseitin_1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_229])).
7.98/1.79	thf(zip_derived_cl388, plain,
7.98/1.79	    ((![X5 : $i, X6 : $i]: ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1141, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_65 @ X1 @ X0 @ sk__46 @ sk__45))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl122, zip_derived_cl388])).
7.98/1.79	thf(zip_derived_cl113, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_64 @ X0 @ X1) | ~ (zip_tseitin_65 @ X2 @ X0 @ X3 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_104])).
7.98/1.79	thf(zip_derived_cl1143, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_64 @ X0 @ sk__45))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1141, zip_derived_cl113])).
7.98/1.79	thf(zip_derived_cl112, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (q1 @ X0) | ~ (zip_tseitin_64 @ X0 @ X1) |  (p @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_106])).
7.98/1.79	thf(zip_derived_cl1170, plain,
7.98/1.79	    ((![X0 : $i]: (~ (q1 @ X0) |  (p @ X0 @ sk__45)))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1143, zip_derived_cl112])).
7.98/1.79	thf(zip_derived_cl89, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_51 @ X0 @ X1) | ~ (p @ X2 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_132])).
7.98/1.79	thf(zip_derived_cl1172, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (q1 @ X0) |  (zip_tseitin_51 @ sk__45 @ X1)))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl1170, zip_derived_cl89])).
7.98/1.79	thf(zip_derived_cl1174, plain,
7.98/1.79	    ((![X0 : $i]: ~ (q1 @ X0)) <= ((![X0 : $i]: ~ (q1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1172])).
7.98/1.79	thf(zip_derived_cl52, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_29 @ X0 @ X1) |  (q1 @ (f @ X1)))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_4])).
7.98/1.79	thf(zip_derived_cl395, plain,
7.98/1.79	    ((~ (zip_tseitin_29 @ sk__55 @ sk__54))
7.98/1.79	       <= (~ ( (zip_tseitin_29 @ sk__55 @ sk__54)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl569, plain,
7.98/1.79	    (( (q1 @ (f @ sk__54))) <= (~ ( (zip_tseitin_29 @ sk__55 @ sk__54)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl395])).
7.98/1.79	thf('1', plain,
7.98/1.79	    (~ (![X0 : $i]: ~ (q1 @ X0)) | ( (zip_tseitin_29 @ sk__55 @ sk__54))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1174, zip_derived_cl569])).
7.98/1.79	thf(zip_derived_cl1676, plain,
7.98/1.79	    ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))
7.98/1.79	       <= ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf(zip_derived_cl569, plain,
7.98/1.79	    (( (q1 @ (f @ sk__54))) <= (~ ( (zip_tseitin_29 @ sk__55 @ sk__54)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl395])).
7.98/1.79	thf(zip_derived_cl1688, plain,
7.98/1.79	    ((~ (p1 @ (f @ sk__54)))
7.98/1.79	       <= (~ ( (zip_tseitin_29 @ sk__55 @ sk__54)) & 
7.98/1.79	           (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1676, zip_derived_cl569])).
7.98/1.79	thf(zip_derived_cl1525, plain,
7.98/1.79	    ((![X3 : $i]:  (p1 @ (f @ X3))) <= ((![X3 : $i]:  (p1 @ (f @ X3))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1495])).
7.98/1.79	thf('2', plain,
7.98/1.79	    (~ (![X3 : $i]:  (p1 @ (f @ X3))) | 
7.98/1.79	     ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) | 
7.98/1.79	     ( (zip_tseitin_29 @ sk__55 @ sk__54))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1688, zip_derived_cl1525])).
7.98/1.79	thf(zip_derived_cl95, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_10 @ X0) | ~ (zip_tseitin_54 @ X1 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_126])).
7.98/1.79	thf('3', plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_10 @ X0)) | 
7.98/1.79	     (![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_54 @ X1 @ X2 @ X3))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl95])).
7.98/1.79	thf(zip_derived_cl101, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_56 @ X0 @ X1 @ X2) |  (zip_tseitin_54 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_122])).
7.98/1.79	thf(zip_derived_cl397, plain,
7.98/1.79	    ((~ (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl943, plain,
7.98/1.79	    (( (zip_tseitin_54 @ sk__49 @ sk__48 @ sk__47))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl397])).
7.98/1.79	thf(zip_derived_cl97, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (r @ X0 @ X1) | ~ (zip_tseitin_54 @ X1 @ X0 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_126])).
7.98/1.79	thf(zip_derived_cl947, plain,
7.98/1.79	    (( (r @ sk__48 @ sk__49))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl943, zip_derived_cl97])).
7.98/1.79	thf(zip_derived_cl21, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
7.98/1.79	       ( (zip_tseitin_11 @ X0 @ X1) | ~ (zip_tseitin_12 @ X2 @ X3 @ X4))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_203])).
7.98/1.79	thf(zip_derived_cl242, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl21])).
7.98/1.79	thf(zip_derived_cl19, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (r @ X0 @ X1) |  (q @ X0 @ X1) | ~ (zip_tseitin_11 @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_205])).
7.98/1.79	thf(zip_derived_cl584, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (r @ X0 @ X1) |  (q @ X0 @ X1)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl242, zip_derived_cl19])).
7.98/1.79	thf(zip_derived_cl951, plain,
7.98/1.79	    (( (q @ sk__48 @ sk__49))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl947, zip_derived_cl584])).
7.98/1.79	thf(zip_derived_cl99, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (zip_tseitin_55 @ X0 @ X1) | ~ (p1 @ X1) | ~ (q @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_124])).
7.98/1.79	thf(zip_derived_cl100, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
7.98/1.79	       ( (zip_tseitin_56 @ X0 @ X1 @ X2) | ~ (zip_tseitin_55 @ X3 @ X4))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_122])).
7.98/1.79	thf(zip_derived_cl291, plain,
7.98/1.79	    ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_55 @ X3 @ X4))
7.98/1.79	       <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_55 @ X3 @ X4)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl100])).
7.98/1.79	thf(zip_derived_cl913, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (q @ X0 @ X1) | ~ (p1 @ X0)))
7.98/1.79	       <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_55 @ X3 @ X4)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl291])).
7.98/1.79	thf(zip_derived_cl957, plain,
7.98/1.79	    ((~ (p1 @ sk__48))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)) & 
7.98/1.79	           (![X3 : $i, X4 : $i]: ~ (zip_tseitin_55 @ X3 @ X4)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl951, zip_derived_cl913])).
7.98/1.79	thf(zip_derived_cl943, plain,
7.98/1.79	    (( (zip_tseitin_54 @ sk__49 @ sk__48 @ sk__47))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl397])).
7.98/1.79	thf(zip_derived_cl98, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (s1 @ X0) | ~ (zip_tseitin_54 @ X1 @ X0 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_126])).
7.98/1.79	thf(zip_derived_cl948, plain,
7.98/1.79	    (( (s1 @ sk__48)) <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl943, zip_derived_cl98])).
7.98/1.79	thf(zip_derived_cl22, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_10 @ X0) | ~ (zip_tseitin_12 @ X1 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_203])).
7.98/1.79	thf(zip_derived_cl244, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_10 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_10 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl22])).
7.98/1.79	thf(zip_derived_cl18, plain,
7.98/1.79	    (![X0 : $i]: (~ (s1 @ X0) |  (p1 @ X0) | ~ (zip_tseitin_10 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_207])).
7.98/1.79	thf(zip_derived_cl549, plain,
7.98/1.79	    ((![X0 : $i]: (~ (s1 @ X0) |  (p1 @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_10 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl18])).
7.98/1.79	thf(zip_derived_cl950, plain,
7.98/1.79	    (( (p1 @ sk__48))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) & 
7.98/1.79	           (![X0 : $i]:  (zip_tseitin_10 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl948, zip_derived_cl549])).
7.98/1.79	thf('4', plain,
7.98/1.79	    (( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) | 
7.98/1.79	     ~ (![X3 : $i, X4 : $i]: ~ (zip_tseitin_55 @ X3 @ X4)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_10 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl957, zip_derived_cl950])).
7.98/1.79	thf(zip_derived_cl56, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_32 @ X0 @ X1) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_170])).
7.98/1.79	thf(zip_derived_cl55, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_31 @ X0 @ X1) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_172])).
7.98/1.79	thf(zip_derived_cl206, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (zip_tseitin_32 @ X0 @ X1)
7.98/1.79	        | ~ (zip_tseitin_31 @ X0 @ X2)
7.98/1.79	        |  (zip_tseitin_109 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_11])).
7.98/1.79	thf(zip_derived_cl207, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_110 @ X0 @ X1) | ~ (zip_tseitin_109 @ X2 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_9])).
7.98/1.79	thf(zip_derived_cl1421, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (zip_tseitin_31 @ X2 @ X0)
7.98/1.79	        | ~ (zip_tseitin_32 @ X2 @ X1)
7.98/1.79	        |  (zip_tseitin_110 @ X1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl206, zip_derived_cl207])).
7.98/1.79	thf(zip_derived_cl1653, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (p1 @ X1)
7.98/1.79	        | ~ (zip_tseitin_32 @ X1 @ X2)
7.98/1.79	        |  (zip_tseitin_110 @ X2 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1421])).
7.98/1.79	thf(zip_derived_cl2019, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (p1 @ X0) |  (p1 @ X1) |  (zip_tseitin_110 @ X0 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl1653])).
7.98/1.79	thf(zip_derived_cl2779, plain,
7.98/1.79	    ((![X0 : $i, X2 : $i]: (~ (p1 @ X0) |  (zip_tseitin_110 @ X0 @ X2)))
7.98/1.79	       <= ((![X0 : $i, X2 : $i]: (~ (p1 @ X0) |  (zip_tseitin_110 @ X0 @ X2))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2019])).
7.98/1.79	thf(zip_derived_cl404, plain,
7.98/1.79	    ((~ (zip_tseitin_110 @ sk__31 @ sk__30))
7.98/1.79	       <= (~ ( (zip_tseitin_110 @ sk__31 @ sk__30)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl2780, plain,
7.98/1.79	    ((~ (p1 @ sk__31))
7.98/1.79	       <= (~ ( (zip_tseitin_110 @ sk__31 @ sk__30)) & 
7.98/1.79	           (![X0 : $i, X2 : $i]: (~ (p1 @ X0) |  (zip_tseitin_110 @ X0 @ X2))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl2779, zip_derived_cl404])).
7.98/1.79	thf(zip_derived_cl124, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_67 @ X0 @ X1) |  (r1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_101])).
7.98/1.79	thf(zip_derived_cl130, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (zip_tseitin_71 @ X0) |  (zip_tseitin_68 @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_93])).
7.98/1.79	thf(zip_derived_cl125, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (p @ (f @ X0) @ X0)
7.98/1.79	        | ~ (zip_tseitin_68 @ X0 @ X1)
7.98/1.79	        | ~ (zip_tseitin_67 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_99])).
7.98/1.79	thf(zip_derived_cl1249, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (zip_tseitin_71 @ X0)
7.98/1.79	        |  (p @ (f @ X1) @ X1)
7.98/1.79	        | ~ (zip_tseitin_67 @ X1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl125])).
7.98/1.79	thf(zip_derived_cl1486, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (r1 @ X0) |  (zip_tseitin_71 @ X0) |  (p @ (f @ X1) @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl124, zip_derived_cl1249])).
7.98/1.79	thf(zip_derived_cl1748, plain,
7.98/1.79	    ((![X0 : $i]: ( (r1 @ X0) |  (zip_tseitin_71 @ X0)))
7.98/1.79	       <= ((![X0 : $i]: ( (r1 @ X0) |  (zip_tseitin_71 @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1486])).
7.98/1.79	thf(zip_derived_cl398, plain,
7.98/1.79	    ((~ (zip_tseitin_71 @ sk__44)) <= (~ ( (zip_tseitin_71 @ sk__44)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1754, plain,
7.98/1.79	    (( (r1 @ sk__44))
7.98/1.79	       <= (~ ( (zip_tseitin_71 @ sk__44)) & 
7.98/1.79	           (![X0 : $i]: ( (r1 @ X0) |  (zip_tseitin_71 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1748, zip_derived_cl398])).
7.98/1.79	thf(zip_derived_cl123, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_67 @ X0 @ X1) | ~ (r1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_101])).
7.98/1.79	thf(zip_derived_cl1249, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (zip_tseitin_71 @ X0)
7.98/1.79	        |  (p @ (f @ X1) @ X1)
7.98/1.79	        | ~ (zip_tseitin_67 @ X1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl125])).
7.98/1.79	thf(zip_derived_cl1485, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (r1 @ X1) |  (zip_tseitin_71 @ X0) |  (p @ (f @ X1) @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl123, zip_derived_cl1249])).
7.98/1.79	thf(zip_derived_cl1487, plain,
7.98/1.79	    ((![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1)))
7.98/1.79	       <= ((![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1485])).
7.98/1.79	thf(zip_derived_cl129, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_71 @ X0) | ~ (zip_tseitin_70 @ X1 @ X2 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_93])).
7.98/1.79	thf(zip_derived_cl128, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (p @ X0 @ X1)
7.98/1.79	        | ~ (zip_tseitin_69 @ X1 @ X0 @ X2)
7.98/1.79	        |  (zip_tseitin_70 @ X1 @ X0 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_95])).
7.98/1.79	thf(zip_derived_cl1247, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_71 @ X0)
7.98/1.79	        | ~ (p @ X1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_69 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl128])).
7.98/1.79	thf(zip_derived_cl127, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_69 @ X0 @ X1 @ X2) |  (q @ (f @ X2) @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_97])).
7.98/1.79	thf(zip_derived_cl26, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
7.98/1.79	       ( (zip_tseitin_14 @ X0 @ X1 @ X2) | ~ (zip_tseitin_13 @ X3 @ X4))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_199])).
7.98/1.79	thf(zip_derived_cl245, plain,
7.98/1.79	    ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4))
7.98/1.79	       <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl26])).
7.98/1.79	thf(zip_derived_cl25, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (zip_tseitin_13 @ X0 @ X1) | ~ (q @ X1 @ X0) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_201])).
7.98/1.79	thf(zip_derived_cl492, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (q @ X0 @ X1) | ~ (p1 @ X0)))
7.98/1.79	       <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl245, zip_derived_cl25])).
7.98/1.79	thf(zip_derived_cl1207, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	        ( (zip_tseitin_69 @ X2 @ X1 @ X0) | ~ (p1 @ (f @ X0))))
7.98/1.79	       <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl492])).
7.98/1.79	thf(zip_derived_cl1367, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	        (~ (p @ X1 @ X2) |  (zip_tseitin_71 @ X0) | ~ (p1 @ (f @ X0))))
7.98/1.79	       <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1247, zip_derived_cl1207])).
7.98/1.79	thf(zip_derived_cl1373, plain,
7.98/1.79	    ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1367])).
7.98/1.79	thf(zip_derived_cl1490, plain,
7.98/1.79	    ((![X0 : $i]: ~ (r1 @ X0))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)) & 
7.98/1.79	           (![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1487, zip_derived_cl1373])).
7.98/1.79	thf('5', plain,
7.98/1.79	    (~ (![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1))) | 
7.98/1.79	     ( (zip_tseitin_71 @ sk__44)) | 
7.98/1.79	     ~ (![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)) | 
7.98/1.79	     ~ (![X0 : $i]: ( (r1 @ X0) |  (zip_tseitin_71 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1754, zip_derived_cl1490])).
7.98/1.79	thf(zip_derived_cl1754, plain,
7.98/1.79	    (( (r1 @ sk__44))
7.98/1.79	       <= (~ ( (zip_tseitin_71 @ sk__44)) & 
7.98/1.79	           (![X0 : $i]: ( (r1 @ X0) |  (zip_tseitin_71 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1748, zip_derived_cl398])).
7.98/1.79	thf(zip_derived_cl1487, plain,
7.98/1.79	    ((![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1)))
7.98/1.79	       <= ((![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1485])).
7.98/1.79	thf(zip_derived_cl1247, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_71 @ X0)
7.98/1.79	        | ~ (p @ X1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_69 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl128])).
7.98/1.79	thf(zip_derived_cl127, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_69 @ X0 @ X1 @ X2) |  (q @ (f @ X2) @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_97])).
7.98/1.79	thf(zip_derived_cl1366, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (p @ X1 @ X2) |  (zip_tseitin_71 @ X0) |  (q @ (f @ X0) @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1247, zip_derived_cl127])).
7.98/1.79	thf(zip_derived_cl1448, plain,
7.98/1.79	    ((![X0 : $i]: ( (zip_tseitin_71 @ X0) |  (q @ (f @ X0) @ X0)))
7.98/1.79	       <= ((![X0 : $i]: ( (zip_tseitin_71 @ X0) |  (q @ (f @ X0) @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1366])).
7.98/1.79	thf(zip_derived_cl1247, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_71 @ X0)
7.98/1.79	        | ~ (p @ X1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_69 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl128])).
7.98/1.79	thf(zip_derived_cl126, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_69 @ X0 @ X1 @ X2) | ~ (q @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_97])).
7.98/1.79	thf(zip_derived_cl1365, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (p @ X1 @ X2) |  (zip_tseitin_71 @ X0) | ~ (q @ X1 @ X2))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1247, zip_derived_cl126])).
7.98/1.79	thf(zip_derived_cl1425, plain,
7.98/1.79	    ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2)))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1365])).
7.98/1.79	thf(zip_derived_cl1451, plain,
7.98/1.79	    ((![X0 : $i]: ( (zip_tseitin_71 @ X0) | ~ (p @ (f @ X0) @ X0)))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))) & 
7.98/1.79	           (![X0 : $i]: ( (zip_tseitin_71 @ X0) |  (q @ (f @ X0) @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1448, zip_derived_cl1425])).
7.98/1.79	thf(zip_derived_cl1493, plain,
7.98/1.79	    ((![X0 : $i]: (~ (r1 @ X0) |  (zip_tseitin_71 @ X0)))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))) & 
7.98/1.79	           (![X0 : $i]: ( (zip_tseitin_71 @ X0) |  (q @ (f @ X0) @ X0))) & 
7.98/1.79	           (![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1487, zip_derived_cl1451])).
7.98/1.79	thf(zip_derived_cl398, plain,
7.98/1.79	    ((~ (zip_tseitin_71 @ sk__44)) <= (~ ( (zip_tseitin_71 @ sk__44)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1494, plain,
7.98/1.79	    ((~ (r1 @ sk__44))
7.98/1.79	       <= (~ ( (zip_tseitin_71 @ sk__44)) & 
7.98/1.79	           (![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))) & 
7.98/1.79	           (![X0 : $i]: ( (zip_tseitin_71 @ X0) |  (q @ (f @ X0) @ X0))) & 
7.98/1.79	           (![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1493, zip_derived_cl398])).
7.98/1.79	thf('6', plain,
7.98/1.79	    (( (zip_tseitin_71 @ sk__44)) | 
7.98/1.79	     ~ (![X0 : $i]: ( (zip_tseitin_71 @ X0) |  (q @ (f @ X0) @ X0))) | 
7.98/1.79	     ~ (![X0 : $i]: ( (r1 @ X0) |  (zip_tseitin_71 @ X0))) | 
7.98/1.79	     ~ (![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))) | 
7.98/1.79	     ~ (![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1754, zip_derived_cl1494])).
7.98/1.79	thf('7', plain,
7.98/1.79	    ((![X0 : $i]: ( (r1 @ X0) |  (zip_tseitin_71 @ X0))) | 
7.98/1.79	     (![X1 : $i]:  (p @ (f @ X1) @ X1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1486])).
7.98/1.79	thf(zip_derived_cl1747, plain,
7.98/1.79	    ((![X1 : $i]:  (p @ (f @ X1) @ X1))
7.98/1.79	       <= ((![X1 : $i]:  (p @ (f @ X1) @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1486])).
7.98/1.79	thf(zip_derived_cl1373, plain,
7.98/1.79	    ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1367])).
7.98/1.79	thf('8', plain,
7.98/1.79	    (~ (![X1 : $i]:  (p @ (f @ X1) @ X1)) | 
7.98/1.79	     ~ (![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1747, zip_derived_cl1373])).
7.98/1.79	thf(zip_derived_cl1747, plain,
7.98/1.79	    ((![X1 : $i]:  (p @ (f @ X1) @ X1))
7.98/1.79	       <= ((![X1 : $i]:  (p @ (f @ X1) @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1486])).
7.98/1.79	thf(zip_derived_cl1425, plain,
7.98/1.79	    ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2)))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1365])).
7.98/1.79	thf(zip_derived_cl127, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_69 @ X0 @ X1 @ X2) |  (q @ (f @ X2) @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_97])).
7.98/1.79	thf(zip_derived_cl1427, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	        (~ (p @ (f @ X0) @ X0) |  (zip_tseitin_69 @ X2 @ X1 @ X0)))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1425, zip_derived_cl127])).
7.98/1.79	thf(zip_derived_cl1752, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_69 @ X2 @ X1 @ X0))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))) & 
7.98/1.79	           (![X1 : $i]:  (p @ (f @ X1) @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1747, zip_derived_cl1427])).
7.98/1.79	thf(zip_derived_cl1247, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_71 @ X0)
7.98/1.79	        | ~ (p @ X1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_69 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl128])).
7.98/1.79	thf(zip_derived_cl2121, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	        ( (zip_tseitin_71 @ X0) | ~ (p @ X1 @ X2)))
7.98/1.79	       <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))) & 
7.98/1.79	           (![X1 : $i]:  (p @ (f @ X1) @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1752, zip_derived_cl1247])).
7.98/1.79	thf('9', plain,
7.98/1.79	    ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)) | 
7.98/1.79	     ~ (![X1 : $i]:  (p @ (f @ X1) @ X1)) | 
7.98/1.79	     (![X0 : $i]:  (zip_tseitin_71 @ X0)) | 
7.98/1.79	     ~ (![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2121])).
7.98/1.79	thf('10', plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_71 @ X0)) | 
7.98/1.79	     (![X1 : $i]: (~ (r1 @ X1) |  (p @ (f @ X1) @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1485])).
7.98/1.79	thf('11', plain,
7.98/1.79	    ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))) | 
7.98/1.79	     (![X0 : $i]:  (zip_tseitin_71 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1365])).
7.98/1.79	thf(zip_derived_cl1426, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_71 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_71 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1365])).
7.98/1.79	thf(zip_derived_cl398, plain,
7.98/1.79	    ((~ (zip_tseitin_71 @ sk__44)) <= (~ ( (zip_tseitin_71 @ sk__44)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('12', plain,
7.98/1.79	    (( (zip_tseitin_71 @ sk__44)) | ~ (![X0 : $i]:  (zip_tseitin_71 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1426, zip_derived_cl398])).
7.98/1.79	thf('13', plain,
7.98/1.79	    ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)) | 
7.98/1.79	     (![X0 : $i]: ( (zip_tseitin_71 @ X0) |  (q @ (f @ X0) @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1366])).
7.98/1.79	thf(zip_derived_cl162, plain,
7.98/1.79	    (( (zip_tseitin_89) | ~ (zip_tseitin_77 @ sk__22 @ sk__21))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_57])).
7.98/1.79	thf('14', plain,
7.98/1.79	    (( (zip_tseitin_89)) | ~ ( (zip_tseitin_77 @ sk__22 @ sk__21))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl162])).
7.98/1.79	thf(zip_derived_cl1, plain, (( (zip_tseitin_1) | ~ (zip_tseitin_0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_225])).
7.98/1.79	thf('15', plain, (( (zip_tseitin_1)) | ~ ( (zip_tseitin_0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1])).
7.98/1.79	thf(zip_derived_cl54, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_31 @ X0 @ X1) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_172])).
7.98/1.79	thf(zip_derived_cl56, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_32 @ X0 @ X1) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_170])).
7.98/1.79	thf(zip_derived_cl174, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_95 @ X0 @ X1) | ~ (zip_tseitin_33 @ X2 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_41])).
7.98/1.79	thf(zip_derived_cl58, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (zip_tseitin_32 @ X0 @ X1)
7.98/1.79	        | ~ (zip_tseitin_31 @ X0 @ X2)
7.98/1.79	        |  (zip_tseitin_33 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_168])).
7.98/1.79	thf(zip_derived_cl1339, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_95 @ X1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_32 @ X2 @ X1)
7.98/1.79	        | ~ (zip_tseitin_31 @ X2 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl58])).
7.98/1.79	thf(zip_derived_cl1550, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (p1 @ X0)
7.98/1.79	        |  (zip_tseitin_95 @ X0 @ X2)
7.98/1.79	        | ~ (zip_tseitin_31 @ X1 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl1339])).
7.98/1.79	thf(zip_derived_cl1654, plain,
7.98/1.79	    (![X0 : $i, X2 : $i]:
7.98/1.79	       (~ (p1 @ X0) | ~ (p1 @ X2) |  (zip_tseitin_95 @ X2 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl1550])).
7.98/1.79	thf(zip_derived_cl403, plain,
7.98/1.79	    ((~ (zip_tseitin_95 @ sk__35 @ sk__34))
7.98/1.79	       <= (~ ( (zip_tseitin_95 @ sk__35 @ sk__34)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl2033, plain,
7.98/1.79	    (((~ (p1 @ sk__35) | ~ (p1 @ sk__34)))
7.98/1.79	       <= (~ ( (zip_tseitin_95 @ sk__35 @ sk__34)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1654, zip_derived_cl403])).
7.98/1.79	thf('16', plain,
7.98/1.79	    (( (zip_tseitin_95 @ sk__35 @ sk__34)) | ~ ( (p1 @ sk__34)) | 
7.98/1.79	     ~ ( (p1 @ sk__35))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2033])).
7.98/1.79	thf(zip_derived_cl54, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_31 @ X0 @ X1) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_172])).
7.98/1.79	thf(zip_derived_cl56, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_32 @ X0 @ X1) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_170])).
7.98/1.79	thf(zip_derived_cl59, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_34 @ X0 @ X1) | ~ (zip_tseitin_33 @ X2 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_166])).
7.98/1.79	thf(zip_derived_cl58, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (zip_tseitin_32 @ X0 @ X1)
7.98/1.79	        | ~ (zip_tseitin_31 @ X0 @ X2)
7.98/1.79	        |  (zip_tseitin_33 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_168])).
7.98/1.79	thf(zip_derived_cl625, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_34 @ X1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_32 @ X2 @ X1)
7.98/1.79	        | ~ (zip_tseitin_31 @ X2 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl58])).
7.98/1.79	thf(zip_derived_cl1507, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (p1 @ X0)
7.98/1.79	        |  (zip_tseitin_34 @ X0 @ X2)
7.98/1.79	        | ~ (zip_tseitin_31 @ X1 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl625])).
7.98/1.79	thf(zip_derived_cl1548, plain,
7.98/1.79	    (![X0 : $i, X2 : $i]:
7.98/1.79	       (~ (p1 @ X0) | ~ (p1 @ X2) |  (zip_tseitin_34 @ X2 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl1507])).
7.98/1.79	thf(zip_derived_cl396, plain,
7.98/1.79	    ((~ (zip_tseitin_34 @ sk__53 @ sk__52))
7.98/1.79	       <= (~ ( (zip_tseitin_34 @ sk__53 @ sk__52)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1629, plain,
7.98/1.79	    (((~ (p1 @ sk__53) | ~ (p1 @ sk__52)))
7.98/1.79	       <= (~ ( (zip_tseitin_34 @ sk__53 @ sk__52)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1548, zip_derived_cl396])).
7.98/1.79	thf('17', plain,
7.98/1.79	    (~ ( (p1 @ sk__52)) | ~ ( (p1 @ sk__53)) | 
7.98/1.79	     ( (zip_tseitin_34 @ sk__53 @ sk__52))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1629])).
7.98/1.79	thf(zip_derived_cl141, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (p1 @ X0) | ~ (p1 @ X1) |  (zip_tseitin_77 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_81])).
7.98/1.79	thf(zip_derived_cl334, plain,
7.98/1.79	    ((~ (zip_tseitin_77 @ sk__22 @ sk__21))
7.98/1.79	       <= (~ ( (zip_tseitin_77 @ sk__22 @ sk__21)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl162])).
7.98/1.79	thf(zip_derived_cl1276, plain,
7.98/1.79	    (((~ (p1 @ sk__21) | ~ (p1 @ sk__22)))
7.98/1.79	       <= (~ ( (zip_tseitin_77 @ sk__22 @ sk__21)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl334])).
7.98/1.79	thf('18', plain,
7.98/1.79	    (( (zip_tseitin_77 @ sk__22 @ sk__21)) | ~ ( (p1 @ sk__22)) | 
7.98/1.79	     ~ ( (p1 @ sk__21))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1276])).
7.98/1.79	thf(zip_derived_cl79, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_46) | ~ (zip_tseitin_8 @ (sk__8 @ X0) @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_142])).
7.98/1.79	thf('19', plain,
7.98/1.79	    (( (zip_tseitin_46)) | 
7.98/1.79	     (![X0 : $i]: ~ (zip_tseitin_8 @ (sk__8 @ X0) @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl79])).
7.98/1.79	thf(zip_derived_cl16, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_9) | ~ (zip_tseitin_8 @ (sk__5 @ X0) @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_209])).
7.98/1.79	thf('20', plain,
7.98/1.79	    (( (zip_tseitin_9)) | (![X0 : $i]: ~ (zip_tseitin_8 @ (sk__5 @ X0) @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl16])).
7.98/1.79	thf(zip_derived_cl0, plain,
7.98/1.79	    (( (zip_tseitin_0) | ~ (p1 @ sk_) | ~ (p1 @ sk__1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_227])).
7.98/1.79	thf('21', plain, (( (zip_tseitin_0)) | ~ ( (p1 @ sk_)) | ~ ( (p1 @ sk__1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl0])).
7.98/1.79	thf(zip_derived_cl40, plain, (![X0 : $i]: ( (zip_tseitin_22) | ~ (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_187])).
7.98/1.79	thf('22', plain, (( (zip_tseitin_22)) | (![X0 : $i]: ~ (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl40])).
7.98/1.79	thf(zip_derived_cl81, plain, (![X0 : $i]: ( (zip_tseitin_47) | ~ (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_140])).
7.98/1.79	thf('23', plain, (( (zip_tseitin_47)) | (![X0 : $i]: ~ (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl81])).
7.98/1.79	thf(zip_derived_cl83, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_48) | ~ (p1 @ X0) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_138])).
7.98/1.79	thf('24', plain, (( (zip_tseitin_48)) | (![X0 : $i]: ~ (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl83])).
7.98/1.79	thf(zip_derived_cl30, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (r1 @ X0) | ~ (r1 @ X1) |  (zip_tseitin_16 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_196])).
7.98/1.79	thf(zip_derived_cl31, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_17 @ X0 @ X1 @ X2) | ~ (zip_tseitin_16 @ X1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
7.98/1.79	thf(zip_derived_cl489, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (r1 @ X0) | ~ (r1 @ X1) |  (zip_tseitin_17 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl31])).
7.98/1.79	thf(zip_derived_cl131, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_72 @ X0 @ X1) | ~ (zip_tseitin_28 @ X2 @ X3 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_91])).
7.98/1.79	thf(zip_derived_cl50, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       (~ (q1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_27 @ X1 @ X0 @ X2 @ X3)
7.98/1.79	        |  (zip_tseitin_28 @ X1 @ X0 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_5])).
7.98/1.79	thf(zip_derived_cl1250, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_72 @ X1 @ X0)
7.98/1.79	        | ~ (q1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_27 @ X3 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl50])).
7.98/1.79	thf(zip_derived_cl48, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_27 @ X0 @ X1 @ X2 @ X3)
7.98/1.79	        | ~ (zip_tseitin_26 @ X0 @ X1 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_6])).
7.98/1.79	thf(zip_derived_cl47, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       (~ (p1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_17 @ X1 @ X2 @ X3)
7.98/1.79	        |  (zip_tseitin_26 @ X1 @ X0 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_179])).
7.98/1.79	thf(zip_derived_cl547, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_27 @ X3 @ X2 @ X1 @ X0)
7.98/1.79	        | ~ (p1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_17 @ X3 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl47])).
7.98/1.79	thf(zip_derived_cl1535, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       (~ (q1 @ X2)
7.98/1.79	        |  (zip_tseitin_72 @ X1 @ X0)
7.98/1.79	        | ~ (p1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_17 @ X3 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1250, zip_derived_cl547])).
7.98/1.79	thf(zip_derived_cl1788, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_72 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_72 @ X1 @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1535])).
7.98/1.79	thf(zip_derived_cl1791, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_72 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_72 @ X1 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl489, zip_derived_cl1788])).
7.98/1.79	thf(zip_derived_cl399, plain,
7.98/1.79	    ((~ (zip_tseitin_72 @ sk__43 @ sk__42))
7.98/1.79	       <= (~ ( (zip_tseitin_72 @ sk__43 @ sk__42)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1792, plain,
7.98/1.79	    (((~ (r1 @ sk__42) | ~ (r1 @ sk__43)))
7.98/1.79	       <= (~ ( (zip_tseitin_72 @ sk__43 @ sk__42)) & 
7.98/1.79	           (![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_72 @ X1 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1791, zip_derived_cl399])).
7.98/1.79	thf(zip_derived_cl2144, plain, ((~ (r1 @ sk__42)) <= (~ ( (r1 @ sk__42)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1792])).
7.98/1.79	thf(zip_derived_cl1675, plain,
7.98/1.79	    ((![X1 : $i]:  (r1 @ X1)) <= ((![X1 : $i]:  (r1 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf('25', plain, (( (r1 @ sk__42)) | ~ (![X1 : $i]:  (r1 @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2144, zip_derived_cl1675])).
7.98/1.79	thf(zip_derived_cl2145, plain, ((~ (r1 @ sk__43)) <= (~ ( (r1 @ sk__43)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1792])).
7.98/1.79	thf(zip_derived_cl1675, plain,
7.98/1.79	    ((![X1 : $i]:  (r1 @ X1)) <= ((![X1 : $i]:  (r1 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf('26', plain, (( (r1 @ sk__43)) | ~ (![X1 : $i]:  (r1 @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2145, zip_derived_cl1675])).
7.98/1.79	thf(zip_derived_cl32, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_17 @ X0 @ X1 @ X2) |  (r1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
7.98/1.79	thf(zip_derived_cl1788, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_72 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_72 @ X1 @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1535])).
7.98/1.79	thf(zip_derived_cl1790, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	        ( (r1 @ X2) |  (zip_tseitin_72 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_72 @ X1 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1788])).
7.98/1.79	thf('27', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_72 @ X0 @ X1)) | 
7.98/1.79	     ~
7.98/1.79	     (![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_72 @ X1 @ X0))) | 
7.98/1.79	     (![X1 : $i]:  (r1 @ X1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1790])).
7.98/1.79	thf('28', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_72 @ X1 @ X0))) | 
7.98/1.79	     (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1535])).
7.98/1.79	thf(zip_derived_cl132, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_72 @ X0 @ X1) |  (q1 @ (f @ X2)))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_91])).
7.98/1.79	thf('29', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_72 @ X0 @ X1)) | 
7.98/1.79	     (![X2 : $i]:  (q1 @ (f @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl132])).
7.98/1.79	thf(zip_derived_cl302, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_72 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_72 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl132])).
7.98/1.79	thf(zip_derived_cl399, plain,
7.98/1.79	    ((~ (zip_tseitin_72 @ sk__43 @ sk__42))
7.98/1.79	       <= (~ ( (zip_tseitin_72 @ sk__43 @ sk__42)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('30', plain,
7.98/1.79	    (( (zip_tseitin_72 @ sk__43 @ sk__42)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_72 @ X0 @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl399])).
7.98/1.79	thf('31', plain,
7.98/1.79	    (( (zip_tseitin_72 @ sk__43 @ sk__42)) | ~ ( (r1 @ sk__43)) | 
7.98/1.79	     ~ ( (r1 @ sk__42)) | 
7.98/1.79	     ~
7.98/1.79	     (![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_72 @ X1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1792])).
7.98/1.79	thf(zip_derived_cl489, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (r1 @ X0) | ~ (r1 @ X1) |  (zip_tseitin_17 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl31])).
7.98/1.79	thf(zip_derived_cl501, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_19 @ X1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_15 @ X3 @ X2)
7.98/1.79	        | ~ (q1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_17 @ X3 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl33])).
7.98/1.79	thf(zip_derived_cl1446, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       (~ (r1 @ X1)
7.98/1.79	        | ~ (r1 @ X0)
7.98/1.79	        |  (zip_tseitin_19 @ X1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_15 @ X2 @ X3)
7.98/1.79	        | ~ (q1 @ X3))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl489, zip_derived_cl501])).
7.98/1.79	thf(zip_derived_cl1720, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_19 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:
7.98/1.79	              (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_19 @ X1 @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1446])).
7.98/1.79	thf(zip_derived_cl394, plain,
7.98/1.79	    ((~ (zip_tseitin_19 @ sk__57 @ sk__56))
7.98/1.79	       <= (~ ( (zip_tseitin_19 @ sk__57 @ sk__56)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1755, plain,
7.98/1.79	    (((~ (r1 @ sk__56) | ~ (r1 @ sk__57)))
7.98/1.79	       <= (~ ( (zip_tseitin_19 @ sk__57 @ sk__56)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:
7.98/1.79	              (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_19 @ X1 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1720, zip_derived_cl394])).
7.98/1.79	thf(zip_derived_cl2024, plain, ((~ (r1 @ sk__57)) <= (~ ( (r1 @ sk__57)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1755])).
7.98/1.79	thf(zip_derived_cl1675, plain,
7.98/1.79	    ((![X1 : $i]:  (r1 @ X1)) <= ((![X1 : $i]:  (r1 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf('32', plain, (( (r1 @ sk__57)) | ~ (![X1 : $i]:  (r1 @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2024, zip_derived_cl1675])).
7.98/1.79	thf(zip_derived_cl2023, plain, ((~ (r1 @ sk__56)) <= (~ ( (r1 @ sk__56)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1755])).
7.98/1.79	thf(zip_derived_cl1675, plain,
7.98/1.79	    ((![X1 : $i]:  (r1 @ X1)) <= ((![X1 : $i]:  (r1 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf('33', plain, (( (r1 @ sk__56)) | ~ (![X1 : $i]:  (r1 @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2023, zip_derived_cl1675])).
7.98/1.79	thf('34', plain,
7.98/1.79	    ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) | 
7.98/1.79	     ~
7.98/1.79	     (![X2 : $i, X3 : $i]:
7.98/1.79	        ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))) | 
7.98/1.79	     (![X1 : $i]:  (r1 @ X1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf('35', plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]:
7.98/1.79	        ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))) | 
7.98/1.79	     (![X0 : $i, X1 : $i]:  (zip_tseitin_19 @ X0 @ X1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1445])).
7.98/1.79	thf('36', plain,
7.98/1.79	    (( (zip_tseitin_19 @ sk__57 @ sk__56)) | ~ ( (r1 @ sk__57)) | 
7.98/1.79	     ~
7.98/1.79	     (![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_19 @ X1 @ X0))) | 
7.98/1.79	     ~ ( (r1 @ sk__56))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1755])).
7.98/1.79	thf(zip_derived_cl1719, plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3)))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1446])).
7.98/1.79	thf(zip_derived_cl28, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_3])).
7.98/1.79	thf(zip_derived_cl1721, plain,
7.98/1.79	    ((![X0 : $i]: (~ (q1 @ X0) | ~ (p1 @ X0)))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl1719, zip_derived_cl28])).
7.98/1.79	thf(zip_derived_cl247, plain,
7.98/1.79	    ((![X2 : $i]:  (q1 @ (f @ X2))) <= ((![X2 : $i]:  (q1 @ (f @ X2))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl35])).
7.98/1.79	thf(zip_derived_cl1727, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ (f @ X0)))
7.98/1.79	       <= ((![X2 : $i]:  (q1 @ (f @ X2))) & 
7.98/1.79	           (![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1721, zip_derived_cl247])).
7.98/1.79	thf(zip_derived_cl2, plain, (![X0 : $i]: ( (zip_tseitin_1) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_225])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('37', plain,
7.98/1.79	    (~ (![X2 : $i]:  (q1 @ (f @ X2))) | 
7.98/1.79	     ~ (![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))) | 
7.98/1.79	     ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1727, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl1687, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ (f @ X0)))
7.98/1.79	       <= ((![X2 : $i]:  (q1 @ (f @ X2))) & 
7.98/1.79	           (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1676, zip_derived_cl247])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('38', plain,
7.98/1.79	    (~ (![X2 : $i]:  (q1 @ (f @ X2))) | ~ (![X0 : $i]:  (p1 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1687, zip_derived_cl215])).
7.98/1.79	thf('39', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_19 @ X0 @ X1)) | 
7.98/1.79	     (![X2 : $i]:  (q1 @ (f @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl35])).
7.98/1.79	thf(zip_derived_cl248, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_19 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_19 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl35])).
7.98/1.79	thf(zip_derived_cl394, plain,
7.98/1.79	    ((~ (zip_tseitin_19 @ sk__57 @ sk__56))
7.98/1.79	       <= (~ ( (zip_tseitin_19 @ sk__57 @ sk__56)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('40', plain,
7.98/1.79	    (( (zip_tseitin_19 @ sk__57 @ sk__56)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_19 @ X0 @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl394])).
7.98/1.79	thf('41', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_19 @ X1 @ X0))) | 
7.98/1.79	     (![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1446])).
7.98/1.79	thf(zip_derived_cl1688, plain,
7.98/1.79	    ((~ (p1 @ (f @ sk__54)))
7.98/1.79	       <= (~ ( (zip_tseitin_29 @ sk__55 @ sk__54)) & 
7.98/1.79	           (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1676, zip_derived_cl569])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('42', plain,
7.98/1.79	    (( (zip_tseitin_29 @ sk__55 @ sk__54)) | 
7.98/1.79	     ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1688, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl489, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (r1 @ X0) | ~ (r1 @ X1) |  (zip_tseitin_17 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl31])).
7.98/1.79	thf(zip_derived_cl565, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_29 @ X1 @ X0)
7.98/1.79	        | ~ (q1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_27 @ X3 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl50])).
7.98/1.79	thf(zip_derived_cl547, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_27 @ X3 @ X2 @ X1 @ X0)
7.98/1.79	        | ~ (p1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_17 @ X3 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl47])).
7.98/1.79	thf(zip_derived_cl1496, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       (~ (q1 @ X2)
7.98/1.79	        |  (zip_tseitin_29 @ X1 @ X0)
7.98/1.79	        | ~ (p1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_17 @ X3 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl565, zip_derived_cl547])).
7.98/1.79	thf(zip_derived_cl1766, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_29 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_29 @ X1 @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1496])).
7.98/1.79	thf(zip_derived_cl1769, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_29 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_29 @ X1 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl489, zip_derived_cl1766])).
7.98/1.79	thf(zip_derived_cl395, plain,
7.98/1.79	    ((~ (zip_tseitin_29 @ sk__55 @ sk__54))
7.98/1.79	       <= (~ ( (zip_tseitin_29 @ sk__55 @ sk__54)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1770, plain,
7.98/1.79	    (((~ (r1 @ sk__54) | ~ (r1 @ sk__55)))
7.98/1.79	       <= (~ ( (zip_tseitin_29 @ sk__55 @ sk__54)) & 
7.98/1.79	           (![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_29 @ X1 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1769, zip_derived_cl395])).
7.98/1.79	thf(zip_derived_cl2123, plain, ((~ (r1 @ sk__54)) <= (~ ( (r1 @ sk__54)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1770])).
7.98/1.79	thf(zip_derived_cl1675, plain,
7.98/1.79	    ((![X1 : $i]:  (r1 @ X1)) <= ((![X1 : $i]:  (r1 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf('43', plain, (( (r1 @ sk__54)) | ~ (![X1 : $i]:  (r1 @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2123, zip_derived_cl1675])).
7.98/1.79	thf(zip_derived_cl2124, plain, ((~ (r1 @ sk__55)) <= (~ ( (r1 @ sk__55)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1770])).
7.98/1.79	thf(zip_derived_cl1675, plain,
7.98/1.79	    ((![X1 : $i]:  (r1 @ X1)) <= ((![X1 : $i]:  (r1 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf('44', plain, (( (r1 @ sk__55)) | ~ (![X1 : $i]:  (r1 @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2124, zip_derived_cl1675])).
7.98/1.79	thf(zip_derived_cl32, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_17 @ X0 @ X1 @ X2) |  (r1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
7.98/1.79	thf(zip_derived_cl1766, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_29 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_29 @ X1 @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1496])).
7.98/1.79	thf(zip_derived_cl1768, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	        ( (r1 @ X2) |  (zip_tseitin_29 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	              (~ (zip_tseitin_17 @ X3 @ X1 @ X0)
7.98/1.79	               |  (zip_tseitin_29 @ X1 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1766])).
7.98/1.79	thf('45', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_29 @ X1 @ X0)) | 
7.98/1.79	     (![X1 : $i]:  (r1 @ X1)) | 
7.98/1.79	     ~
7.98/1.79	     (![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_29 @ X1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1768])).
7.98/1.79	thf(zip_derived_cl1527, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_29 @ X1 @ X0))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_29 @ X1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1495])).
7.98/1.79	thf(zip_derived_cl395, plain,
7.98/1.79	    ((~ (zip_tseitin_29 @ sk__55 @ sk__54))
7.98/1.79	       <= (~ ( (zip_tseitin_29 @ sk__55 @ sk__54)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('46', plain,
7.98/1.79	    (( (zip_tseitin_29 @ sk__55 @ sk__54)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_29 @ X1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1527, zip_derived_cl395])).
7.98/1.79	thf('47', plain,
7.98/1.79	    (( (zip_tseitin_29 @ sk__55 @ sk__54)) | ~ ( (r1 @ sk__54)) | 
7.98/1.79	     ~
7.98/1.79	     (![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_29 @ X1 @ X0))) | 
7.98/1.79	     ~ ( (r1 @ sk__55))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1770])).
7.98/1.79	thf('48', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_29 @ X1 @ X0))) | 
7.98/1.79	     (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1496])).
7.98/1.79	thf(zip_derived_cl96, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
7.98/1.79	       ( (zip_tseitin_11 @ X0 @ X1) | ~ (zip_tseitin_54 @ X2 @ X3 @ X4))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_126])).
7.98/1.79	thf('49', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)) | 
7.98/1.79	     (![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_54 @ X1 @ X2 @ X3))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl96])).
7.98/1.79	thf('50', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_56 @ X0 @ X1 @ X2)) | 
7.98/1.79	     (![X3 : $i, X4 : $i]: ~ (zip_tseitin_55 @ X3 @ X4))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl100])).
7.98/1.79	thf(zip_derived_cl943, plain,
7.98/1.79	    (( (zip_tseitin_54 @ sk__49 @ sk__48 @ sk__47))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl397])).
7.98/1.79	thf(zip_derived_cl287, plain,
7.98/1.79	    ((![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_54 @ X1 @ X2 @ X3))
7.98/1.79	       <= ((![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_54 @ X1 @ X2 @ X3)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl95])).
7.98/1.79	thf('51', plain,
7.98/1.79	    (( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) | 
7.98/1.79	     ~ (![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_54 @ X1 @ X2 @ X3))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl943, zip_derived_cl287])).
7.98/1.79	thf(zip_derived_cl292, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_56 @ X0 @ X1 @ X2))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_56 @ X0 @ X1 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl100])).
7.98/1.79	thf(zip_derived_cl397, plain,
7.98/1.79	    ((~ (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('52', plain,
7.98/1.79	    (( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_56 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl292, zip_derived_cl397])).
7.98/1.79	thf(zip_derived_cl957, plain,
7.98/1.79	    ((~ (p1 @ sk__48))
7.98/1.79	       <= (~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)) & 
7.98/1.79	           (![X3 : $i, X4 : $i]: ~ (zip_tseitin_55 @ X3 @ X4)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl951, zip_derived_cl913])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('53', plain,
7.98/1.79	    (( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) | 
7.98/1.79	     ~ (![X3 : $i, X4 : $i]: ~ (zip_tseitin_55 @ X3 @ X4)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)) | 
7.98/1.79	     ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl957, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl175, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_95 @ X0 @ X1) |  (zip_tseitin_32 @ X2 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_41])).
7.98/1.79	thf(zip_derived_cl346, plain,
7.98/1.79	    ((![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl175])).
7.98/1.79	thf(zip_derived_cl54, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_31 @ X0 @ X1) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_172])).
7.98/1.79	thf(zip_derived_cl1421, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (zip_tseitin_31 @ X2 @ X0)
7.98/1.79	        | ~ (zip_tseitin_32 @ X2 @ X1)
7.98/1.79	        |  (zip_tseitin_110 @ X1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl206, zip_derived_cl207])).
7.98/1.79	thf(zip_derived_cl1652, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (p1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_32 @ X1 @ X2)
7.98/1.79	        |  (zip_tseitin_110 @ X2 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl1421])).
7.98/1.79	thf(zip_derived_cl1989, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (p1 @ X1) |  (zip_tseitin_110 @ X0 @ X1)))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl346, zip_derived_cl1652])).
7.98/1.79	thf(zip_derived_cl404, plain,
7.98/1.79	    ((~ (zip_tseitin_110 @ sk__31 @ sk__30))
7.98/1.79	       <= (~ ( (zip_tseitin_110 @ sk__31 @ sk__30)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1990, plain,
7.98/1.79	    ((~ (p1 @ sk__30))
7.98/1.79	       <= (~ ( (zip_tseitin_110 @ sk__31 @ sk__30)) & 
7.98/1.79	           (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1989, zip_derived_cl404])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('54', plain,
7.98/1.79	    (( (zip_tseitin_110 @ sk__31 @ sk__30)) | 
7.98/1.79	     ~ (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1990, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl208, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_110 @ X0 @ X1) |  (zip_tseitin_32 @ X2 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_9])).
7.98/1.79	thf(zip_derived_cl385, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_110 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_110 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl208])).
7.98/1.79	thf(zip_derived_cl404, plain,
7.98/1.79	    ((~ (zip_tseitin_110 @ sk__31 @ sk__30))
7.98/1.79	       <= (~ ( (zip_tseitin_110 @ sk__31 @ sk__30)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('55', plain,
7.98/1.79	    (( (zip_tseitin_110 @ sk__31 @ sk__30)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_110 @ X0 @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl385, zip_derived_cl404])).
7.98/1.79	thf('56', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_110 @ X0 @ X1)) | 
7.98/1.79	     (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl208])).
7.98/1.79	thf(zip_derived_cl2035, plain, ((~ (p1 @ sk__34)) <= (~ ( (p1 @ sk__34)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2033])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('57', plain, (( (p1 @ sk__34)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2035, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl2034, plain, ((~ (p1 @ sk__35)) <= (~ ( (p1 @ sk__35)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2033])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('58', plain, (( (p1 @ sk__35)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2034, zip_derived_cl215])).
7.98/1.79	thf('59', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)) | 
7.98/1.79	     (![X2 : $i, X3 : $i, X4 : $i]: ~ (zip_tseitin_12 @ X2 @ X3 @ X4))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl21])).
7.98/1.79	thf('60', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_14 @ X0 @ X1 @ X2)) | 
7.98/1.79	     (![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl26])).
7.98/1.79	thf(zip_derived_cl393, plain,
7.98/1.79	    ((~ (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl27, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_14 @ X0 @ X1 @ X2) |  (zip_tseitin_12 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_199])).
7.98/1.79	thf(zip_derived_cl571, plain,
7.98/1.79	    (( (zip_tseitin_12 @ sk__60 @ sk__59 @ sk__58))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl27])).
7.98/1.79	thf(zip_derived_cl241, plain,
7.98/1.79	    ((![X2 : $i, X3 : $i, X4 : $i]: ~ (zip_tseitin_12 @ X2 @ X3 @ X4))
7.98/1.79	       <= ((![X2 : $i, X3 : $i, X4 : $i]: ~ (zip_tseitin_12 @ X2 @ X3 @ X4)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl21])).
7.98/1.79	thf('61', plain,
7.98/1.79	    (( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) | 
7.98/1.79	     ~ (![X2 : $i, X3 : $i, X4 : $i]: ~ (zip_tseitin_12 @ X2 @ X3 @ X4))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl571, zip_derived_cl241])).
7.98/1.79	thf(zip_derived_cl246, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_14 @ X0 @ X1 @ X2))
7.98/1.79	       <= ((![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_14 @ X0 @ X1 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl26])).
7.98/1.79	thf(zip_derived_cl393, plain,
7.98/1.79	    ((~ (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('62', plain,
7.98/1.79	    (( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_14 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl246, zip_derived_cl393])).
7.98/1.79	thf(zip_derived_cl571, plain,
7.98/1.79	    (( (zip_tseitin_12 @ sk__60 @ sk__59 @ sk__58))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl27])).
7.98/1.79	thf(zip_derived_cl23, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (r @ X0 @ X1) | ~ (zip_tseitin_12 @ X1 @ X0 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_203])).
7.98/1.79	thf(zip_derived_cl636, plain,
7.98/1.79	    (( (r @ sk__59 @ sk__60))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl571, zip_derived_cl23])).
7.98/1.79	thf(zip_derived_cl584, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (r @ X0 @ X1) |  (q @ X0 @ X1)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl242, zip_derived_cl19])).
7.98/1.79	thf(zip_derived_cl642, plain,
7.98/1.79	    (( (q @ sk__59 @ sk__60))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl636, zip_derived_cl584])).
7.98/1.79	thf(zip_derived_cl492, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (q @ X0 @ X1) | ~ (p1 @ X0)))
7.98/1.79	       <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl245, zip_derived_cl25])).
7.98/1.79	thf(zip_derived_cl644, plain,
7.98/1.79	    ((~ (p1 @ sk__59))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)) & 
7.98/1.79	           (![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl642, zip_derived_cl492])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('63', plain,
7.98/1.79	    (( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) | 
7.98/1.79	     ~ (![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)) | 
7.98/1.79	     ~ (![X0 : $i]:  (p1 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl644, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl1631, plain, ((~ (p1 @ sk__52)) <= (~ ( (p1 @ sk__52)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1629])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('64', plain, (~ (![X0 : $i]:  (p1 @ X0)) | ( (p1 @ sk__52))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1631, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl1630, plain, ((~ (p1 @ sk__53)) <= (~ ( (p1 @ sk__53)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1629])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('65', plain, (( (p1 @ sk__53)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1630, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl1279, plain, ((~ (p1 @ sk__22)) <= (~ ( (p1 @ sk__22)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1276])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('66', plain, (( (p1 @ sk__22)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1279, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl1278, plain, ((~ (p1 @ sk__21)) <= (~ ( (p1 @ sk__21)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1276])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('67', plain, (( (p1 @ sk__21)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1278, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl267, plain,
7.98/1.79	    ((![X0 : $i]: ~ (zip_tseitin_8 @ (sk__8 @ X0) @ X0))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_8 @ (sk__8 @ X0) @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl79])).
7.98/1.79	thf(zip_derived_cl15, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_8 @ X0 @ X1) | ~ (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_211])).
7.98/1.79	thf(zip_derived_cl532, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ (sk__8 @ X0)))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_8 @ (sk__8 @ X0) @ X0)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl15])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('68', plain,
7.98/1.79	    (~ (![X0 : $i]: ~ (zip_tseitin_8 @ (sk__8 @ X0) @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl532, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl237, plain,
7.98/1.79	    ((![X0 : $i]: ~ (zip_tseitin_8 @ (sk__5 @ X0) @ X0))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_8 @ (sk__5 @ X0) @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl16])).
7.98/1.79	thf(zip_derived_cl15, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_8 @ X0 @ X1) | ~ (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_211])).
7.98/1.79	thf(zip_derived_cl514, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ (sk__5 @ X0)))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_8 @ (sk__5 @ X0) @ X0)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl15])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('69', plain,
7.98/1.79	    (~ (![X0 : $i]: ~ (zip_tseitin_8 @ (sk__5 @ X0) @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl514, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf(zip_derived_cl210, plain, ((~ (p1 @ sk__1)) <= (~ ( (p1 @ sk__1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl0])).
7.98/1.79	thf('70', plain, (( (p1 @ sk__1)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl215, zip_derived_cl210])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf(zip_derived_cl211, plain, ((~ (p1 @ sk_)) <= (~ ( (p1 @ sk_)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl0])).
7.98/1.79	thf('71', plain, (( (p1 @ sk_)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl215, zip_derived_cl211])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf(zip_derived_cl253, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X0 : $i]: ~ (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl40])).
7.98/1.79	thf('72', plain, (~ (![X0 : $i]:  (p1 @ X0)) | ~ (![X0 : $i]: ~ (p1 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl215, zip_derived_cl253])).
7.98/1.79	thf(zip_derived_cl146, plain, (( (zip_tseitin_80) | ~ (zip_tseitin_79))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_75])).
7.98/1.79	thf('73', plain, (( (zip_tseitin_80)) | ~ ( (zip_tseitin_79))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl146])).
7.98/1.79	thf(zip_derived_cl105, plain,
7.98/1.79	    (( (zip_tseitin_57 @ sk__17) | ~ (zip_tseitin_59))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_116])).
7.98/1.79	thf(zip_derived_cl295, plain,
7.98/1.79	    (( (zip_tseitin_57 @ sk__17)) <= (( (zip_tseitin_57 @ sk__17)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl105])).
7.98/1.79	thf(zip_derived_cl102, plain,
7.98/1.79	    (![X0 : $i]: (~ (q1 @ X0) |  (r1 @ X0) | ~ (zip_tseitin_57 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_120])).
7.98/1.79	thf(zip_derived_cl725, plain,
7.98/1.79	    (((~ (q1 @ sk__17) |  (r1 @ sk__17))) <= (( (zip_tseitin_57 @ sk__17)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl102])).
7.98/1.79	thf(zip_derived_cl726, plain, (( (r1 @ sk__17)) <= (( (r1 @ sk__17)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl725])).
7.98/1.79	thf(zip_derived_cl106, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_60 @ X0) | ~ (r1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_114])).
7.98/1.79	thf(zip_derived_cl108, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_61) | ~ (zip_tseitin_60 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_112])).
7.98/1.79	thf(zip_derived_cl297, plain,
7.98/1.79	    ((![X0 : $i]: ~ (zip_tseitin_60 @ X0))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_60 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl108])).
7.98/1.79	thf(zip_derived_cl659, plain,
7.98/1.79	    ((![X0 : $i]: ~ (r1 @ X0)) <= ((![X0 : $i]: ~ (zip_tseitin_60 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl297])).
7.98/1.79	thf('74', plain,
7.98/1.79	    (~ (![X0 : $i]: ~ (zip_tseitin_60 @ X0)) | ~ ( (r1 @ sk__17))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl726, zip_derived_cl659])).
7.98/1.79	thf('75', plain, (( (zip_tseitin_57 @ sk__17)) | ~ ( (zip_tseitin_59))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl105])).
7.98/1.79	thf('76', plain,
7.98/1.79	    (( (zip_tseitin_61)) | (![X0 : $i]: ~ (zip_tseitin_60 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl108])).
7.98/1.79	thf('77', plain,
7.98/1.79	    (( (r1 @ sk__17)) | ~ ( (q1 @ sk__17)) | ~ ( (zip_tseitin_57 @ sk__17))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl725])).
7.98/1.79	thf(zip_derived_cl144, plain, (( (zip_tseitin_79) | ~ (q1 @ sk__20))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_77])).
7.98/1.79	thf('78', plain, (( (zip_tseitin_79)) | ~ ( (q1 @ sk__20))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl144])).
7.98/1.79	thf(zip_derived_cl104, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_58 @ X0) | ~ (zip_tseitin_59))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_116])).
7.98/1.79	thf(zip_derived_cl293, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_58 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_58 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl104])).
7.98/1.79	thf(zip_derived_cl103, plain,
7.98/1.79	    (![X0 : $i]: (~ (p1 @ X0) |  (q1 @ X0) | ~ (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_118])).
7.98/1.79	thf(zip_derived_cl741, plain,
7.98/1.79	    ((![X0 : $i]: (~ (p1 @ X0) |  (q1 @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_58 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl293, zip_derived_cl103])).
7.98/1.79	thf(zip_derived_cl727, plain, ((~ (q1 @ sk__17)) <= (~ ( (q1 @ sk__17)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl725])).
7.98/1.79	thf(zip_derived_cl743, plain,
7.98/1.79	    ((~ (p1 @ sk__17))
7.98/1.79	       <= (~ ( (q1 @ sk__17)) & (![X0 : $i]:  (zip_tseitin_58 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl741, zip_derived_cl727])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('79', plain,
7.98/1.79	    (( (q1 @ sk__17)) | ~ (![X0 : $i]:  (p1 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl741, plain,
7.98/1.79	    ((![X0 : $i]: (~ (p1 @ X0) |  (q1 @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_58 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl293, zip_derived_cl103])).
7.98/1.79	thf(zip_derived_cl160, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_88 @ X0) | ~ (zip_tseitin_87 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_59])).
7.98/1.79	thf(zip_derived_cl402, plain,
7.98/1.79	    ((~ (zip_tseitin_88 @ sk__36)) <= (~ ( (zip_tseitin_88 @ sk__36)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl733, plain,
7.98/1.79	    ((~ (zip_tseitin_87 @ sk__36)) <= (~ ( (zip_tseitin_88 @ sk__36)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl402])).
7.98/1.79	thf(zip_derived_cl158, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_87 @ X0) | ~ (q1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_61])).
7.98/1.79	thf(zip_derived_cl735, plain,
7.98/1.79	    ((~ (q1 @ sk__36)) <= (~ ( (zip_tseitin_88 @ sk__36)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl733, zip_derived_cl158])).
7.98/1.79	thf(zip_derived_cl745, plain,
7.98/1.79	    ((~ (p1 @ sk__36))
7.98/1.79	       <= (~ ( (zip_tseitin_88 @ sk__36)) & 
7.98/1.79	           (![X0 : $i]:  (zip_tseitin_58 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl741, zip_derived_cl735])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('80', plain,
7.98/1.79	    (~ (![X0 : $i]:  (p1 @ X0)) | ( (zip_tseitin_88 @ sk__36)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl745, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl741, plain,
7.98/1.79	    ((![X0 : $i]: (~ (p1 @ X0) |  (q1 @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_58 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl293, zip_derived_cl103])).
7.98/1.79	thf(zip_derived_cl313, plain, ((~ (q1 @ sk__20)) <= (~ ( (q1 @ sk__20)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl144])).
7.98/1.79	thf(zip_derived_cl744, plain,
7.98/1.79	    ((~ (p1 @ sk__20))
7.98/1.79	       <= (~ ( (q1 @ sk__20)) & (![X0 : $i]:  (zip_tseitin_58 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl741, zip_derived_cl313])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('81', plain,
7.98/1.79	    (( (q1 @ sk__20)) | ~ (![X0 : $i]:  (p1 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl744, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl390, plain,
7.98/1.79	    ((![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40))
7.98/1.79	       <= ((![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl390, plain,
7.98/1.79	    ((![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40))
7.98/1.79	       <= ((![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl140, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (a @ X0 @ X0) |  (a @ X0 @ X1) | ~ (zip_tseitin_76 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_83])).
7.98/1.79	thf(zip_derived_cl1258, plain,
7.98/1.79	    ((![X0 : $i]: ( (a @ X0 @ X0) |  (a @ X0 @ sk__40)))
7.98/1.79	       <= ((![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl390, zip_derived_cl140])).
7.98/1.79	thf(zip_derived_cl1267, plain,
7.98/1.79	    (( (a @ sk__40 @ sk__40))
7.98/1.79	       <= ((![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40)))),
7.98/1.79	    inference('eq_fact', [status(thm)], [zip_derived_cl1258])).
7.98/1.79	thf(zip_derived_cl139, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (a @ X0 @ X1) | ~ (a @ X0 @ X0) | ~ (zip_tseitin_76 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_83])).
7.98/1.79	thf(zip_derived_cl1270, plain,
7.98/1.79	    ((![X0 : $i]: (~ (a @ sk__40 @ X0) | ~ (zip_tseitin_76 @ sk__40 @ X0)))
7.98/1.79	       <= ((![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1267, zip_derived_cl139])).
7.98/1.79	thf(zip_derived_cl1273, plain,
7.98/1.79	    ((~ (a @ sk__40 @ sk__40))
7.98/1.79	       <= ((![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl390, zip_derived_cl1270])).
7.98/1.79	thf(zip_derived_cl1267, plain,
7.98/1.79	    (( (a @ sk__40 @ sk__40))
7.98/1.79	       <= ((![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40)))),
7.98/1.79	    inference('eq_fact', [status(thm)], [zip_derived_cl1258])).
7.98/1.79	thf('82', plain, (~ (![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40))),
7.98/1.79	    inference('demod', [status(thm)],
7.98/1.79	              [zip_derived_cl1273, zip_derived_cl1267])).
7.98/1.79	thf(zip_derived_cl204, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_108 @ X0 @ X1 @ X2 @ X3)
7.98/1.79	        | ~ (zip_tseitin_107 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_13])).
7.98/1.79	thf(zip_derived_cl392, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:
7.98/1.79	              ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1379, plain,
7.98/1.79	    ((~ (zip_tseitin_107 @ sk__33 @ sk__32))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:
7.98/1.79	              ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl392])).
7.98/1.79	thf(zip_derived_cl205, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_108 @ X0 @ X1 @ X2 @ X3) |  (zip_tseitin_107 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_13])).
7.98/1.79	thf(zip_derived_cl392, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:
7.98/1.79	              ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1413, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_107 @ X1 @ X0))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:
7.98/1.79	              ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl205, zip_derived_cl392])).
7.98/1.79	thf('83', plain,
7.98/1.79	    (~ (![X0 : $i, X1 : $i]: ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32))),
7.98/1.79	    inference('demod', [status(thm)],
7.98/1.79	              [zip_derived_cl1379, zip_derived_cl1413])).
7.98/1.79	thf(zip_derived_cl154, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_84 @ X0) |  (zip_tseitin_83))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_67])).
7.98/1.79	thf('84', plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_84 @ X0)) | ( (zip_tseitin_83))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl154])).
7.98/1.79	thf(zip_derived_cl153, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_84 @ X0) | ~ (q1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_67])).
7.98/1.79	thf(zip_derived_cl401, plain,
7.98/1.79	    ((~ (zip_tseitin_84 @ sk__37)) <= (~ ( (zip_tseitin_84 @ sk__37)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl661, plain,
7.98/1.79	    ((~ (q1 @ sk__37)) <= (~ ( (zip_tseitin_84 @ sk__37)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl401])).
7.98/1.79	thf(zip_derived_cl152, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_81 @ X0) | ~ (zip_tseitin_83))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_69])).
7.98/1.79	thf(zip_derived_cl326, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_81 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_81 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl152])).
7.98/1.79	thf(zip_derived_cl149, plain,
7.98/1.79	    (![X0 : $i]: ( (q1 @ X0) | ~ (zip_tseitin_81 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_73])).
7.98/1.79	thf(zip_derived_cl656, plain,
7.98/1.79	    ((![X0 : $i]:  (q1 @ X0)) <= ((![X0 : $i]:  (zip_tseitin_81 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl326, zip_derived_cl149])).
7.98/1.79	thf('85', plain,
7.98/1.79	    (( (zip_tseitin_84 @ sk__37)) | ~ (![X0 : $i]:  (zip_tseitin_81 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl661, zip_derived_cl656])).
7.98/1.79	thf(zip_derived_cl328, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_84 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_84 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl154])).
7.98/1.79	thf(zip_derived_cl401, plain,
7.98/1.79	    ((~ (zip_tseitin_84 @ sk__37)) <= (~ ( (zip_tseitin_84 @ sk__37)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('86', plain,
7.98/1.79	    (( (zip_tseitin_84 @ sk__37)) | ~ (![X0 : $i]:  (zip_tseitin_84 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl401])).
7.98/1.79	thf('87', plain,
7.98/1.79	    (~ ( (zip_tseitin_83)) | (![X0 : $i]:  (zip_tseitin_81 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl152])).
7.98/1.79	thf(zip_derived_cl198, plain, (( (zip_tseitin_106) | ~ (a0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_19])).
7.98/1.79	thf('88', plain, (( (zip_tseitin_106)) | ~ ( (a0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl198])).
7.98/1.79	thf(zip_derived_cl199, plain, (( (zip_tseitin_106) | ~ (b0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_19])).
7.98/1.79	thf('89', plain, (( (zip_tseitin_106)) | ~ ( (b0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl199])).
7.98/1.79	thf(zip_derived_cl200, plain, (( (zip_tseitin_106) | ~ (zip_tseitin_105))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_19])).
7.98/1.79	thf('90', plain, (( (zip_tseitin_106)) | ~ ( (zip_tseitin_105))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl200])).
7.98/1.79	thf(zip_derived_cl197, plain, (( (zip_tseitin_105) |  (a0) |  (b0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_21])).
7.98/1.79	thf('91', plain, (( (a0)) | ( (b0)) | ( (zip_tseitin_105))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl197])).
7.98/1.79	thf(zip_derived_cl176, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_96) | ~ (p @ X0 @ sk__24))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_39])).
7.98/1.79	thf('92', plain, (( (zip_tseitin_96)) | (![X0 : $i]: ~ (p @ X0 @ sk__24))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl176])).
7.98/1.79	thf(zip_derived_cl177, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_96) |  (p @ sk__25 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_39])).
7.98/1.79	thf('93', plain, (( (zip_tseitin_96)) | (![X0 : $i]:  (p @ sk__25 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl177])).
7.98/1.79	thf(zip_derived_cl350, plain,
7.98/1.79	    ((![X0 : $i]:  (p @ sk__25 @ X0)) <= ((![X0 : $i]:  (p @ sk__25 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl177])).
7.98/1.79	thf(zip_derived_cl348, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p @ X0 @ sk__24)) <= ((![X0 : $i]: ~ (p @ X0 @ sk__24)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl176])).
7.98/1.79	thf('94', plain,
7.98/1.79	    (~ (![X0 : $i]:  (p @ sk__25 @ X0)) | ~ (![X0 : $i]: ~ (p @ X0 @ sk__24))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl348])).
7.98/1.79	thf(zip_derived_cl91, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (zip_tseitin_51 @ X0 @ X1)
7.98/1.79	        | ~ (zip_tseitin_50 @ X0 @ X1 @ X2)
7.98/1.79	        |  (zip_tseitin_52 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_130])).
7.98/1.79	thf(zip_derived_cl387, plain,
7.98/1.79	    ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl847, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (zip_tseitin_50 @ X1 @ (sk__50 @ X0) @ X0)
7.98/1.79	         | ~ (zip_tseitin_51 @ X1 @ (sk__50 @ X0))))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl387])).
7.98/1.79	thf(zip_derived_cl87, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_50 @ X0 @ X1 @ X2) | ~ (p @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_134])).
7.98/1.79	thf(zip_derived_cl849, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (zip_tseitin_51 @ X1 @ (sk__50 @ X0)) | ~ (p @ X1 @ (sk__50 @ X0))))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl847, zip_derived_cl87])).
7.98/1.79	thf(zip_derived_cl847, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (zip_tseitin_50 @ X1 @ (sk__50 @ X0) @ X0)
7.98/1.79	         | ~ (zip_tseitin_51 @ X1 @ (sk__50 @ X0))))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl387])).
7.98/1.79	thf(zip_derived_cl88, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_50 @ X0 @ X1 @ X2) |  (zip_tseitin_49 @ X0 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_134])).
7.98/1.79	thf(zip_derived_cl850, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (zip_tseitin_51 @ X1 @ (sk__50 @ X0))
7.98/1.79	         |  (zip_tseitin_49 @ X1 @ X0)))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl847, zip_derived_cl88])).
7.98/1.79	thf(zip_derived_cl90, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_51 @ X0 @ X1) |  (p @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_132])).
7.98/1.79	thf(zip_derived_cl861, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        ( (zip_tseitin_49 @ X1 @ X0) |  (p @ X1 @ (sk__50 @ X0))))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl850, zip_derived_cl90])).
7.98/1.79	thf(zip_derived_cl89, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_51 @ X0 @ X1) | ~ (p @ X2 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_132])).
7.98/1.79	thf(zip_derived_cl870, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	        ( (zip_tseitin_49 @ X1 @ X0) |  (zip_tseitin_51 @ (sk__50 @ X0) @ X2)))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl861, zip_derived_cl89])).
7.98/1.79	thf(zip_derived_cl850, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (zip_tseitin_51 @ X1 @ (sk__50 @ X0))
7.98/1.79	         |  (zip_tseitin_49 @ X1 @ X0)))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl847, zip_derived_cl88])).
7.98/1.79	thf(zip_derived_cl874, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	        ( (zip_tseitin_49 @ X2 @ X1) |  (zip_tseitin_49 @ (sk__50 @ X1) @ X0)))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl870, zip_derived_cl850])).
7.98/1.79	thf(zip_derived_cl909, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_49 @ (sk__50 @ X0) @ X0))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('eq_fact', [status(thm)], [zip_derived_cl874])).
7.98/1.79	thf(zip_derived_cl85, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (p @ X0 @ X1) | ~ (zip_tseitin_49 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_136])).
7.98/1.79	thf(zip_derived_cl911, plain,
7.98/1.79	    ((![X0 : $i]:  (p @ (sk__50 @ X0) @ X0))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl909, zip_derived_cl85])).
7.98/1.79	thf(zip_derived_cl89, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_51 @ X0 @ X1) | ~ (p @ X2 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_132])).
7.98/1.79	thf(zip_derived_cl917, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_51 @ X0 @ X1))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl911, zip_derived_cl89])).
7.98/1.79	thf(zip_derived_cl923, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: ~ (p @ X1 @ (sk__50 @ X0)))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('demod', [status(thm)], [zip_derived_cl849, zip_derived_cl917])).
7.98/1.79	thf(zip_derived_cl911, plain,
7.98/1.79	    ((![X0 : $i]:  (p @ (sk__50 @ X0) @ X0))
7.98/1.79	       <= ((![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl909, zip_derived_cl85])).
7.98/1.79	thf('95', plain,
7.98/1.79	    (~ (![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl923, zip_derived_cl911])).
7.98/1.79	thf(zip_derived_cl121, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_66 @ X0 @ X1 @ X2 @ X3) | ~ (p @ X3 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_7])).
7.98/1.79	thf(zip_derived_cl388, plain,
7.98/1.79	    ((![X5 : $i, X6 : $i]: ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1137, plain,
7.98/1.79	    ((~ (p @ sk__45 @ sk__46))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl388])).
7.98/1.79	thf(zip_derived_cl1141, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_65 @ X1 @ X0 @ sk__46 @ sk__45))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl122, zip_derived_cl388])).
7.98/1.79	thf(zip_derived_cl118, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_62 @ X0 @ X1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_65 @ X0 @ X1 @ X3 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_104])).
7.98/1.79	thf(zip_derived_cl1148, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_62 @ X1 @ X0 @ sk__45))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1141, zip_derived_cl118])).
7.98/1.79	thf(zip_derived_cl110, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (p @ X0 @ X1) | ~ (zip_tseitin_62 @ X1 @ X0 @ X2) | ~ (s1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_110])).
7.98/1.79	thf(zip_derived_cl1201, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: ( (p @ X0 @ X1) | ~ (s1 @ sk__45)))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1148, zip_derived_cl110])).
7.98/1.79	thf(zip_derived_cl1141, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_65 @ X1 @ X0 @ sk__46 @ sk__45))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl122, zip_derived_cl388])).
7.98/1.79	thf(zip_derived_cl117, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (s1 @ X0) | ~ (zip_tseitin_65 @ X1 @ X2 @ X3 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_104])).
7.98/1.79	thf(zip_derived_cl1146, plain,
7.98/1.79	    (( (s1 @ sk__45))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1141, zip_derived_cl117])).
7.98/1.79	thf(zip_derived_cl1202, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (p @ X0 @ X1))
7.98/1.79	       <= ((![X5 : $i, X6 : $i]:
7.98/1.79	              ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)))),
7.98/1.79	    inference('demod', [status(thm)],
7.98/1.79	              [zip_derived_cl1201, zip_derived_cl1146])).
7.98/1.79	thf('96', plain,
7.98/1.79	    (~ (![X5 : $i, X6 : $i]: ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45))),
7.98/1.79	    inference('demod', [status(thm)],
7.98/1.79	              [zip_derived_cl1137, zip_derived_cl1202])).
7.98/1.79	thf(zip_derived_cl180, plain, (( (a0) | ~ (zip_tseitin_98))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_35])).
7.98/1.79	thf('97', plain, (( (a0)) | ~ ( (zip_tseitin_98))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl180])).
7.98/1.79	thf(zip_derived_cl181, plain, (( (b0) | ~ (zip_tseitin_98))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_35])).
7.98/1.79	thf('98', plain, (( (b0)) | ~ ( (zip_tseitin_98))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl181])).
7.98/1.79	thf(zip_derived_cl184, plain, (( (zip_tseitin_100) | ~ (zip_tseitin_99))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_31])).
7.98/1.79	thf('99', plain, (( (zip_tseitin_100)) | ~ ( (zip_tseitin_99))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl184])).
7.98/1.79	thf(zip_derived_cl185, plain, (( (zip_tseitin_100) |  (zip_tseitin_98))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_31])).
7.98/1.79	thf('100', plain, (( (zip_tseitin_98)) | ( (zip_tseitin_100))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl185])).
7.98/1.79	thf(zip_derived_cl182, plain, (( (zip_tseitin_99) | ~ (b0) | ~ (a0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_33])).
7.98/1.79	thf('101', plain, (( (zip_tseitin_99)) | ~ ( (b0)) | ~ ( (a0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl182])).
7.98/1.79	thf(zip_derived_cl42, plain, (![X0 : $i]: ( (b @ X0) | ~ (zip_tseitin_23))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_185])).
7.98/1.79	thf('102', plain, (~ ( (zip_tseitin_23)) | (![X0 : $i]:  (b @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl42])).
7.98/1.79	thf(zip_derived_cl43, plain, (( (a1 @ sk__7) | ~ (zip_tseitin_23))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_185])).
7.98/1.79	thf('103', plain, (~ ( (zip_tseitin_23)) | ( (a1 @ sk__7))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl43])).
7.98/1.79	thf(zip_derived_cl45, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_25) | ~ (zip_tseitin_24 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_181])).
7.98/1.79	thf('104', plain,
7.98/1.79	    (( (zip_tseitin_25)) | (![X0 : $i]: ~ (zip_tseitin_24 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl45])).
7.98/1.79	thf(zip_derived_cl46, plain, (( (zip_tseitin_25) |  (zip_tseitin_23))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_181])).
7.98/1.79	thf('105', plain, (( (zip_tseitin_25)) | ( (zip_tseitin_23))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl46])).
7.98/1.79	thf(zip_derived_cl44, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_24 @ X0) | ~ (b @ X0) | ~ (a1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_183])).
7.98/1.79	thf(zip_derived_cl261, plain,
7.98/1.79	    ((![X0 : $i]: ~ (zip_tseitin_24 @ X0))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_24 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl45])).
7.98/1.79	thf(zip_derived_cl525, plain,
7.98/1.79	    ((![X0 : $i]: (~ (a1 @ X0) | ~ (b @ X0)))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_24 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl261])).
7.98/1.79	thf(zip_derived_cl257, plain,
7.98/1.79	    ((![X0 : $i]:  (b @ X0)) <= ((![X0 : $i]:  (b @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl42])).
7.98/1.79	thf(zip_derived_cl527, plain,
7.98/1.79	    ((![X0 : $i]: ~ (a1 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (b @ X0)) & (![X0 : $i]: ~ (zip_tseitin_24 @ X0)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl257])).
7.98/1.79	thf(zip_derived_cl259, plain, (( (a1 @ sk__7)) <= (( (a1 @ sk__7)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl43])).
7.98/1.79	thf('106', plain,
7.98/1.79	    (~ (![X0 : $i]:  (b @ X0)) | ~ ( (a1 @ sk__7)) | 
7.98/1.79	     ~ (![X0 : $i]: ~ (zip_tseitin_24 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl527, zip_derived_cl259])).
7.98/1.79	thf(zip_derived_cl93, plain,
7.98/1.79	    (( (zip_tseitin_53) |  (a @ sk__13 @ sk__14) |  (a @ sk__16 @ sk__15))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_128])).
7.98/1.79	thf(zip_derived_cl285, plain,
7.98/1.79	    (( (a @ sk__13 @ sk__14)) <= (( (a @ sk__13 @ sk__14)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl93])).
7.98/1.79	thf(zip_derived_cl92, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_53) | ~ (a @ X0 @ X1) | ~ (a @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_128])).
7.98/1.79	thf(zip_derived_cl281, plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl92])).
7.98/1.79	thf('107', plain,
7.98/1.79	    (~ (![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3)) | ~ ( (a @ sk__13 @ sk__14))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl281])).
7.98/1.79	thf(zip_derived_cl284, plain,
7.98/1.79	    (( (a @ sk__16 @ sk__15)) <= (( (a @ sk__16 @ sk__15)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl93])).
7.98/1.79	thf(zip_derived_cl281, plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl92])).
7.98/1.79	thf('108', plain,
7.98/1.79	    (~ (![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3)) | ~ ( (a @ sk__16 @ sk__15))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl284, zip_derived_cl281])).
7.98/1.79	thf('109', plain,
7.98/1.79	    (( (zip_tseitin_53)) | (![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl92])).
7.98/1.79	thf('110', plain,
7.98/1.79	    (( (zip_tseitin_53)) | ( (a @ sk__13 @ sk__14)) | 
7.98/1.79	     ( (a @ sk__16 @ sk__15))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl93])).
7.98/1.79	thf(zip_derived_cl133, plain,
7.98/1.79	    (( (zip_tseitin_73) | ~ (p @ sk__18 @ sk__18))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_89])).
7.98/1.79	thf('111', plain, (( (zip_tseitin_73)) | ~ ( (p @ sk__18 @ sk__18))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl133])).
7.98/1.79	thf(zip_derived_cl134, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_73) |  (p @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_89])).
7.98/1.79	thf('112', plain,
7.98/1.79	    (( (zip_tseitin_73)) | (![X0 : $i, X1 : $i]:  (p @ X0 @ X1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl134])).
7.98/1.79	thf(zip_derived_cl305, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (p @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (p @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl134])).
7.98/1.79	thf(zip_derived_cl303, plain,
7.98/1.79	    ((~ (p @ sk__18 @ sk__18)) <= (~ ( (p @ sk__18 @ sk__18)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl133])).
7.98/1.79	thf('113', plain,
7.98/1.79	    (( (p @ sk__18 @ sk__18)) | ~ (![X0 : $i, X1 : $i]:  (p @ X0 @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl305, zip_derived_cl303])).
7.98/1.79	thf(zip_derived_cl76, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
7.98/1.79	       ( (zip_tseitin_44 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
7.98/1.79	        |  (zip_tseitin_40 @ X0 @ X3 @ X4 @ X5))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_146])).
7.98/1.79	thf(zip_derived_cl386, plain,
7.98/1.79	    ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	        ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl789, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X4 : $i]:  (zip_tseitin_40 @ X4 @ X1 @ X0 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl386])).
7.98/1.79	thf(zip_derived_cl70, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_36 @ X0) | ~ (zip_tseitin_40 @ X1 @ X2 @ X0 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_154])).
7.98/1.79	thf(zip_derived_cl797, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_36 @ X0))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl70])).
7.98/1.79	thf(zip_derived_cl62, plain,
7.98/1.79	    (![X0 : $i]:
7.98/1.79	       (~ (e @ X0) |  (zip_tseitin_35 @ X0) | ~ (zip_tseitin_36 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_162])).
7.98/1.79	thf(zip_derived_cl799, plain,
7.98/1.79	    ((![X0 : $i]: (~ (e @ X0) |  (zip_tseitin_35 @ X0)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl797, zip_derived_cl62])).
7.98/1.79	thf(zip_derived_cl789, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X4 : $i]:  (zip_tseitin_40 @ X4 @ X1 @ X0 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl386])).
7.98/1.79	thf(zip_derived_cl69, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_37 @ X0 @ X1) | ~ (zip_tseitin_40 @ X0 @ X2 @ X3 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_154])).
7.98/1.79	thf(zip_derived_cl796, plain,
7.98/1.79	    ((![X2 : $i]:  (zip_tseitin_37 @ X2 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl69])).
7.98/1.79	thf(zip_derived_cl63, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (p1 @ X0) | ~ (zip_tseitin_37 @ X0 @ X1) | ~ (s @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_160])).
7.98/1.79	thf(zip_derived_cl803, plain,
7.98/1.79	    ((![X0 : $i]: ( (p1 @ X0) | ~ (s @ sk__51 @ X0)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl796, zip_derived_cl63])).
7.98/1.79	thf(zip_derived_cl61, plain,
7.98/1.79	    (![X0 : $i]: ( (s @ X0 @ (f @ X0)) |  (g @ X0) | ~ (zip_tseitin_35 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_164])).
7.98/1.79	thf(zip_derived_cl804, plain,
7.98/1.79	    ((( (p1 @ (f @ sk__51)) |  (g @ sk__51) | ~ (zip_tseitin_35 @ sk__51)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl803, zip_derived_cl61])).
7.98/1.79	thf(zip_derived_cl789, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X4 : $i]:  (zip_tseitin_40 @ X4 @ X1 @ X0 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl386])).
7.98/1.79	thf(zip_derived_cl67, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (e @ X0) | ~ (zip_tseitin_40 @ X1 @ X2 @ X3 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_154])).
7.98/1.79	thf(zip_derived_cl794, plain,
7.98/1.79	    (( (e @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl67])).
7.98/1.79	thf(zip_derived_cl789, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X4 : $i]:  (zip_tseitin_40 @ X4 @ X1 @ X0 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl386])).
7.98/1.79	thf(zip_derived_cl68, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_39 @ X0) | ~ (zip_tseitin_40 @ X1 @ X0 @ X2 @ X3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_154])).
7.98/1.79	thf(zip_derived_cl795, plain,
7.98/1.79	    ((![X1 : $i]:  (zip_tseitin_39 @ X1))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl68])).
7.98/1.79	thf(zip_derived_cl65, plain,
7.98/1.79	    (![X0 : $i]:
7.98/1.79	       (~ (e @ X0) |  (zip_tseitin_38 @ X0) | ~ (zip_tseitin_39 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_156])).
7.98/1.79	thf(zip_derived_cl798, plain,
7.98/1.79	    ((![X0 : $i]: (~ (e @ X0) |  (zip_tseitin_38 @ X0)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl795, zip_derived_cl65])).
7.98/1.79	thf(zip_derived_cl75, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
7.98/1.79	       ( (zip_tseitin_44 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
7.98/1.79	        | ~ (zip_tseitin_43 @ X1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_146])).
7.98/1.79	thf(zip_derived_cl386, plain,
7.98/1.79	    ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	        ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl779, plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]: ~ (zip_tseitin_43 @ X3 @ X2))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl386])).
7.98/1.79	thf(zip_derived_cl74, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (zip_tseitin_43 @ X0 @ X1) | ~ (zip_tseitin_41 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_148])).
7.98/1.79	thf(zip_derived_cl782, plain,
7.98/1.79	    ((![X1 : $i]: ~ (zip_tseitin_41 @ X1))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl779, zip_derived_cl74])).
7.98/1.79	thf(zip_derived_cl71, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_41 @ X0) | ~ (c @ X0) | ~ (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_152])).
7.98/1.79	thf(zip_derived_cl787, plain,
7.98/1.79	    ((![X0 : $i]: (~ (c @ X0) | ~ (p1 @ X0)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl782, zip_derived_cl71])).
7.98/1.79	thf(zip_derived_cl64, plain,
7.98/1.79	    (![X0 : $i]: ( (g @ X0) |  (c @ (f @ X0)) | ~ (zip_tseitin_38 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_158])).
7.98/1.79	thf(zip_derived_cl791, plain,
7.98/1.79	    ((![X0 : $i]: (~ (p1 @ (f @ X0)) |  (g @ X0) | ~ (zip_tseitin_38 @ X0)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl787, zip_derived_cl64])).
7.98/1.79	thf(zip_derived_cl802, plain,
7.98/1.79	    ((![X0 : $i]: (~ (e @ X0) | ~ (p1 @ (f @ X0)) |  (g @ X0)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl798, zip_derived_cl791])).
7.98/1.79	thf(zip_derived_cl779, plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]: ~ (zip_tseitin_43 @ X3 @ X2))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl386])).
7.98/1.79	thf(zip_derived_cl73, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (zip_tseitin_43 @ X0 @ X1) | ~ (zip_tseitin_42 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_148])).
7.98/1.79	thf(zip_derived_cl781, plain,
7.98/1.79	    ((![X0 : $i]: ~ (zip_tseitin_42 @ X0))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl779, zip_derived_cl73])).
7.98/1.79	thf(zip_derived_cl72, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_42 @ X0) | ~ (g @ X0) | ~ (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_150])).
7.98/1.79	thf(zip_derived_cl785, plain,
7.98/1.79	    ((![X0 : $i]: (~ (g @ X0) | ~ (p1 @ X0)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl781, zip_derived_cl72])).
7.98/1.79	thf(zip_derived_cl806, plain,
7.98/1.79	    ((![X0 : $i]: (~ (p1 @ (f @ X0)) | ~ (e @ X0) | ~ (p1 @ X0)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl802, zip_derived_cl785])).
7.98/1.79	thf(zip_derived_cl808, plain,
7.98/1.79	    (((~ (p1 @ (f @ sk__51)) | ~ (p1 @ sk__51)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl794, zip_derived_cl806])).
7.98/1.79	thf(zip_derived_cl789, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X4 : $i]:  (zip_tseitin_40 @ X4 @ X1 @ X0 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl386])).
7.98/1.79	thf(zip_derived_cl66, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (p1 @ X0) | ~ (zip_tseitin_40 @ X1 @ X2 @ X3 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_154])).
7.98/1.79	thf(zip_derived_cl793, plain,
7.98/1.79	    (( (p1 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl66])).
7.98/1.79	thf(zip_derived_cl809, plain,
7.98/1.79	    ((~ (p1 @ (f @ sk__51)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('demod', [status(thm)], [zip_derived_cl808, zip_derived_cl793])).
7.98/1.79	thf(zip_derived_cl821, plain,
7.98/1.79	    ((( (g @ sk__51) | ~ (zip_tseitin_35 @ sk__51)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('demod', [status(thm)], [zip_derived_cl804, zip_derived_cl809])).
7.98/1.79	thf(zip_derived_cl822, plain,
7.98/1.79	    ((~ (zip_tseitin_35 @ sk__51)) <= (~ ( (zip_tseitin_35 @ sk__51)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl821])).
7.98/1.79	thf(zip_derived_cl825, plain,
7.98/1.79	    ((~ (e @ sk__51))
7.98/1.79	       <= (~ ( (zip_tseitin_35 @ sk__51)) & 
7.98/1.79	           (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl799, zip_derived_cl822])).
7.98/1.79	thf(zip_derived_cl794, plain,
7.98/1.79	    (( (e @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl67])).
7.98/1.79	thf('114', plain,
7.98/1.79	    (( (zip_tseitin_35 @ sk__51)) | 
7.98/1.79	     ~
7.98/1.79	     (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	        ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51))),
7.98/1.79	    inference('demod', [status(thm)], [zip_derived_cl825, zip_derived_cl794])).
7.98/1.79	thf(zip_derived_cl823, plain, (( (g @ sk__51)) <= (( (g @ sk__51)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl821])).
7.98/1.79	thf(zip_derived_cl785, plain,
7.98/1.79	    ((![X0 : $i]: (~ (g @ X0) | ~ (p1 @ X0)))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl781, zip_derived_cl72])).
7.98/1.79	thf(zip_derived_cl828, plain,
7.98/1.79	    ((~ (p1 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)) & 
7.98/1.79	           ( (g @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl823, zip_derived_cl785])).
7.98/1.79	thf(zip_derived_cl793, plain,
7.98/1.79	    (( (p1 @ sk__51))
7.98/1.79	       <= ((![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	              ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl66])).
7.98/1.79	thf('115', plain,
7.98/1.79	    (~
7.98/1.79	     (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	        ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)) | 
7.98/1.79	     ~ ( (g @ sk__51))),
7.98/1.79	    inference('demod', [status(thm)], [zip_derived_cl828, zip_derived_cl793])).
7.98/1.79	thf('116', plain,
7.98/1.79	    (( (g @ sk__51)) | 
7.98/1.79	     ~
7.98/1.79	     (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	        ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)) | 
7.98/1.79	     ~ ( (zip_tseitin_35 @ sk__51))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl821])).
7.98/1.79	thf(zip_derived_cl142, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       ( (zip_tseitin_78 @ X0 @ X1) | ~ (zip_tseitin_77 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_79])).
7.98/1.79	thf(zip_derived_cl400, plain,
7.98/1.79	    ((~ (zip_tseitin_78 @ sk__39 @ sk__38))
7.98/1.79	       <= (~ ( (zip_tseitin_78 @ sk__39 @ sk__38)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1298, plain,
7.98/1.79	    ((~ (zip_tseitin_77 @ sk__39 @ sk__38))
7.98/1.79	       <= (~ ( (zip_tseitin_78 @ sk__39 @ sk__38)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl400])).
7.98/1.79	thf(zip_derived_cl141, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (p1 @ X0) | ~ (p1 @ X1) |  (zip_tseitin_77 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_81])).
7.98/1.79	thf(zip_derived_cl1300, plain,
7.98/1.79	    (((~ (p1 @ sk__39) | ~ (p1 @ sk__38)))
7.98/1.79	       <= (~ ( (zip_tseitin_78 @ sk__39 @ sk__38)))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1298, zip_derived_cl141])).
7.98/1.79	thf(zip_derived_cl1302, plain, ((~ (p1 @ sk__38)) <= (~ ( (p1 @ sk__38)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1300])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('117', plain, (( (p1 @ sk__38)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1302, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl1303, plain, ((~ (p1 @ sk__39)) <= (~ ( (p1 @ sk__39)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1300])).
7.98/1.79	thf(zip_derived_cl215, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]:  (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf('118', plain, (( (p1 @ sk__39)) | ~ (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1303, zip_derived_cl215])).
7.98/1.79	thf(zip_derived_cl143, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]: ( (zip_tseitin_78 @ X0 @ X1) |  (p1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_79])).
7.98/1.79	thf('119', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_78 @ X0 @ X1)) | 
7.98/1.79	     (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl143])).
7.98/1.79	thf(zip_derived_cl312, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_78 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_78 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl143])).
7.98/1.79	thf(zip_derived_cl400, plain,
7.98/1.79	    ((~ (zip_tseitin_78 @ sk__39 @ sk__38))
7.98/1.79	       <= (~ ( (zip_tseitin_78 @ sk__39 @ sk__38)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('120', plain,
7.98/1.79	    (( (zip_tseitin_78 @ sk__39 @ sk__38)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_78 @ X0 @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl400])).
7.98/1.79	thf('121', plain,
7.98/1.79	    (( (zip_tseitin_78 @ sk__39 @ sk__38)) | ~ ( (p1 @ sk__38)) | 
7.98/1.79	     ~ ( (p1 @ sk__39))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1300])).
7.98/1.79	thf(zip_derived_cl171, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_94) | ~ (zip_tseitin_93 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_45])).
7.98/1.79	thf('122', plain,
7.98/1.79	    (( (zip_tseitin_94)) | (![X0 : $i]: ~ (zip_tseitin_93 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl171])).
7.98/1.79	thf(zip_derived_cl172, plain, (( (zip_tseitin_94) |  (zip_tseitin_92))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_45])).
7.98/1.79	thf('123', plain, (( (zip_tseitin_94)) | ( (zip_tseitin_92))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl172])).
7.98/1.79	thf(zip_derived_cl168, plain,
7.98/1.79	    ((~ (zip_tseitin_2 @ sk__23) | ~ (zip_tseitin_92))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_49])).
7.98/1.79	thf('124', plain, (~ ( (zip_tseitin_92)) | ~ ( (zip_tseitin_2 @ sk__23))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl168])).
7.98/1.79	thf(zip_derived_cl169, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_91 @ X0) | ~ (zip_tseitin_92))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_49])).
7.98/1.79	thf('125', plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_91 @ X0)) | ~ ( (zip_tseitin_92))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl169])).
7.98/1.79	thf(zip_derived_cl340, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_91 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_91 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl169])).
7.98/1.79	thf(zip_derived_cl165, plain,
7.98/1.79	    (![X0 : $i]:
7.98/1.79	       (~ (a1 @ X0) |  (zip_tseitin_90 @ X0) | ~ (zip_tseitin_91 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_53])).
7.98/1.79	thf(zip_derived_cl991, plain,
7.98/1.79	    ((![X0 : $i]: (~ (a1 @ X0) |  (zip_tseitin_90 @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_91 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl340, zip_derived_cl165])).
7.98/1.79	thf(zip_derived_cl164, plain,
7.98/1.79	    (![X0 : $i]: ( (b @ X0) |  (c @ X0) | ~ (zip_tseitin_90 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_55])).
7.98/1.79	thf(zip_derived_cl992, plain,
7.98/1.79	    ((![X0 : $i]: (~ (a1 @ X0) |  (b @ X0) |  (c @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_91 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl991, zip_derived_cl164])).
7.98/1.79	thf(zip_derived_cl170, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_93 @ X0) | ~ (c @ X0) | ~ (a1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_47])).
7.98/1.79	thf(zip_derived_cl342, plain,
7.98/1.79	    ((![X0 : $i]: ~ (zip_tseitin_93 @ X0))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_93 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl171])).
7.98/1.79	thf(zip_derived_cl978, plain,
7.98/1.79	    ((![X0 : $i]: (~ (a1 @ X0) | ~ (c @ X0)))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_93 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl342])).
7.98/1.79	thf(zip_derived_cl994, plain,
7.98/1.79	    ((![X0 : $i]: ( (b @ X0) | ~ (a1 @ X0) | ~ (a1 @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_91 @ X0)) & 
7.98/1.79	           (![X0 : $i]: ~ (zip_tseitin_93 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl992, zip_derived_cl978])).
7.98/1.79	thf(zip_derived_cl995, plain,
7.98/1.79	    ((![X0 : $i]: (~ (a1 @ X0) |  (b @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_91 @ X0)) & 
7.98/1.79	           (![X0 : $i]: ~ (zip_tseitin_93 @ X0)))),
7.98/1.79	    inference('simplify', [status(thm)], [zip_derived_cl994])).
7.98/1.79	thf(zip_derived_cl166, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (b @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_51])).
7.98/1.79	thf(zip_derived_cl339, plain,
7.98/1.79	    ((~ (zip_tseitin_2 @ sk__23)) <= (~ ( (zip_tseitin_2 @ sk__23)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl168])).
7.98/1.79	thf(zip_derived_cl677, plain,
7.98/1.79	    ((~ (b @ sk__23)) <= (~ ( (zip_tseitin_2 @ sk__23)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl339])).
7.98/1.79	thf(zip_derived_cl999, plain,
7.98/1.79	    ((~ (a1 @ sk__23))
7.98/1.79	       <= (~ ( (zip_tseitin_2 @ sk__23)) & 
7.98/1.79	           (![X0 : $i]:  (zip_tseitin_91 @ X0)) & 
7.98/1.79	           (![X0 : $i]: ~ (zip_tseitin_93 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl995, zip_derived_cl677])).
7.98/1.79	thf(zip_derived_cl167, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_2 @ X0) |  (a1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_51])).
7.98/1.79	thf(zip_derived_cl339, plain,
7.98/1.79	    ((~ (zip_tseitin_2 @ sk__23)) <= (~ ( (zip_tseitin_2 @ sk__23)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl168])).
7.98/1.79	thf(zip_derived_cl684, plain,
7.98/1.79	    (( (a1 @ sk__23)) <= (~ ( (zip_tseitin_2 @ sk__23)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl339])).
7.98/1.79	thf('126', plain,
7.98/1.79	    (( (zip_tseitin_2 @ sk__23)) | ~ (![X0 : $i]: ~ (zip_tseitin_93 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_91 @ X0))),
7.98/1.79	    inference('demod', [status(thm)], [zip_derived_cl999, zip_derived_cl684])).
7.98/1.79	thf(zip_derived_cl194, plain,
7.98/1.79	    (( (zip_tseitin_104) | ~ (zip_tseitin_103 @ sk__29 @ sk__28))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_23])).
7.98/1.79	thf('127', plain,
7.98/1.79	    (( (zip_tseitin_104)) | ~ ( (zip_tseitin_103 @ sk__29 @ sk__28))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl194])).
7.98/1.79	thf(zip_derived_cl195, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_104) |  (zip_tseitin_102 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_23])).
7.98/1.79	thf('128', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)) | 
7.98/1.79	     ( (zip_tseitin_104))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl195])).
7.98/1.79	thf(zip_derived_cl193, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_103 @ X0 @ X1) |  (eq @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_25])).
7.98/1.79	thf(zip_derived_cl368, plain,
7.98/1.79	    ((~ (zip_tseitin_103 @ sk__29 @ sk__28))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl194])).
7.98/1.79	thf(zip_derived_cl1359, plain,
7.98/1.79	    (( (eq @ sk__28 @ sk__29)) <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl368])).
7.98/1.79	thf(zip_derived_cl370, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl195])).
7.98/1.79	thf(zip_derived_cl190, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (eq @ X0 @ X1)
7.98/1.79	        |  (zip_tseitin_101 @ X2 @ X1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_102 @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_27])).
7.98/1.79	thf(zip_derived_cl1381, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	        (~ (eq @ X0 @ X1) |  (zip_tseitin_101 @ X2 @ X1 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl370, zip_derived_cl190])).
7.98/1.79	thf(zip_derived_cl1406, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_101 @ X0 @ sk__29 @ sk__28))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1359, zip_derived_cl1381])).
7.98/1.79	thf(zip_derived_cl186, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (a_member_of @ X0 @ X1)
7.98/1.79	        |  (a_member_of @ X0 @ X2)
7.98/1.79	        | ~ (zip_tseitin_101 @ X0 @ X2 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_29])).
7.98/1.79	thf(zip_derived_cl1417, plain,
7.98/1.79	    ((![X0 : $i]:
7.98/1.79	        (~ (a_member_of @ X0 @ sk__28) |  (a_member_of @ X0 @ sk__29)))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1406, zip_derived_cl186])).
7.98/1.79	thf(zip_derived_cl191, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (zip_tseitin_101 @ (sk__27 @ X0 @ X1) @ X1 @ X0)
7.98/1.79	        |  (eq @ X0 @ X1)
7.98/1.79	        | ~ (zip_tseitin_102 @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_27])).
7.98/1.79	thf(zip_derived_cl188, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_101 @ X0 @ X1 @ X2)
7.98/1.79	        | ~ (a_member_of @ X0 @ X2)
7.98/1.79	        | ~ (a_member_of @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_29])).
7.98/1.79	thf(zip_derived_cl1390, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (zip_tseitin_102 @ X1 @ X0)
7.98/1.79	        |  (eq @ X0 @ X1)
7.98/1.79	        | ~ (a_member_of @ (sk__27 @ X0 @ X1) @ X0)
7.98/1.79	        | ~ (a_member_of @ (sk__27 @ X0 @ X1) @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl188])).
7.98/1.79	thf(zip_derived_cl1572, plain,
7.98/1.79	    ((![X0 : $i]:
7.98/1.79	        (~ (a_member_of @ (sk__27 @ sk__29 @ X0) @ sk__28)
7.98/1.79	         | ~ (zip_tseitin_102 @ X0 @ sk__29)
7.98/1.79	         |  (eq @ sk__29 @ X0)
7.98/1.79	         | ~ (a_member_of @ (sk__27 @ sk__29 @ X0) @ X0)))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1417, zip_derived_cl1390])).
7.98/1.79	thf(zip_derived_cl370, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl195])).
7.98/1.79	thf(zip_derived_cl1574, plain,
7.98/1.79	    ((![X0 : $i]:
7.98/1.79	        (~ (a_member_of @ (sk__27 @ sk__29 @ X0) @ sk__28)
7.98/1.79	         |  (eq @ sk__29 @ X0)
7.98/1.79	         | ~ (a_member_of @ (sk__27 @ sk__29 @ X0) @ X0)))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('demod', [status(thm)], [zip_derived_cl1572, zip_derived_cl370])).
7.98/1.79	thf(zip_derived_cl1585, plain,
7.98/1.79	    (((~ (a_member_of @ (sk__27 @ sk__29 @ sk__28) @ sk__28)
7.98/1.79	       |  (eq @ sk__29 @ sk__28)))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('eq_fact', [status(thm)], [zip_derived_cl1574])).
7.98/1.79	thf(zip_derived_cl192, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_103 @ X0 @ X1) | ~ (eq @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_25])).
7.98/1.79	thf(zip_derived_cl368, plain,
7.98/1.79	    ((~ (zip_tseitin_103 @ sk__29 @ sk__28))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl194])).
7.98/1.79	thf(zip_derived_cl1357, plain,
7.98/1.79	    ((~ (eq @ sk__29 @ sk__28)) <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl368])).
7.98/1.79	thf(zip_derived_cl1586, plain,
7.98/1.79	    ((~ (a_member_of @ (sk__27 @ sk__29 @ sk__28) @ sk__28))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('demod', [status(thm)],
7.98/1.79	              [zip_derived_cl1585, zip_derived_cl1357])).
7.98/1.79	thf(zip_derived_cl370, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl195])).
7.98/1.79	thf(zip_derived_cl191, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (zip_tseitin_101 @ (sk__27 @ X0 @ X1) @ X1 @ X0)
7.98/1.79	        |  (eq @ X0 @ X1)
7.98/1.79	        | ~ (zip_tseitin_102 @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_27])).
7.98/1.79	thf(zip_derived_cl189, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_101 @ X0 @ X1 @ X2)
7.98/1.79	        |  (a_member_of @ X0 @ X2)
7.98/1.79	        |  (a_member_of @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_29])).
7.98/1.79	thf(zip_derived_cl1391, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]:
7.98/1.79	       (~ (zip_tseitin_102 @ X1 @ X0)
7.98/1.79	        |  (eq @ X0 @ X1)
7.98/1.79	        |  (a_member_of @ (sk__27 @ X0 @ X1) @ X0)
7.98/1.79	        |  (a_member_of @ (sk__27 @ X0 @ X1) @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
7.98/1.79	thf(zip_derived_cl1587, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        ( (eq @ X0 @ X1)
7.98/1.79	         |  (a_member_of @ (sk__27 @ X0 @ X1) @ X0)
7.98/1.79	         |  (a_member_of @ (sk__27 @ X0 @ X1) @ X1)))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl370, zip_derived_cl1391])).
7.98/1.79	thf(zip_derived_cl1406, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_101 @ X0 @ sk__29 @ sk__28))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1359, zip_derived_cl1381])).
7.98/1.79	thf(zip_derived_cl187, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (a_member_of @ X0 @ X1)
7.98/1.79	        |  (a_member_of @ X0 @ X2)
7.98/1.79	        | ~ (zip_tseitin_101 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_29])).
7.98/1.79	thf(zip_derived_cl1418, plain,
7.98/1.79	    ((![X0 : $i]:
7.98/1.79	        (~ (a_member_of @ X0 @ sk__29) |  (a_member_of @ X0 @ sk__28)))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1406, zip_derived_cl187])).
7.98/1.79	thf(zip_derived_cl1588, plain,
7.98/1.79	    ((![X0 : $i]:
7.98/1.79	        ( (a_member_of @ (sk__27 @ sk__29 @ X0) @ X0)
7.98/1.79	         |  (eq @ sk__29 @ X0)
7.98/1.79	         |  (a_member_of @ (sk__27 @ sk__29 @ X0) @ sk__28)))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1587, zip_derived_cl1418])).
7.98/1.79	thf(zip_derived_cl1614, plain,
7.98/1.79	    ((( (eq @ sk__29 @ sk__28)
7.98/1.79	       |  (a_member_of @ (sk__27 @ sk__29 @ sk__28) @ sk__28)))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('eq_fact', [status(thm)], [zip_derived_cl1588])).
7.98/1.79	thf(zip_derived_cl1357, plain,
7.98/1.79	    ((~ (eq @ sk__29 @ sk__28)) <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl368])).
7.98/1.79	thf(zip_derived_cl1615, plain,
7.98/1.79	    (( (a_member_of @ (sk__27 @ sk__29 @ sk__28) @ sk__28))
7.98/1.79	       <= (~ ( (zip_tseitin_103 @ sk__29 @ sk__28)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1)))),
7.98/1.79	    inference('demod', [status(thm)],
7.98/1.79	              [zip_derived_cl1614, zip_derived_cl1357])).
7.98/1.79	thf('129', plain,
7.98/1.79	    (( (zip_tseitin_103 @ sk__29 @ sk__28)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_102 @ X0 @ X1))),
7.98/1.79	    inference('demod', [status(thm)],
7.98/1.79	              [zip_derived_cl1586, zip_derived_cl1615])).
7.98/1.79	thf(zip_derived_cl137, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_75) | ~ (a @ X0 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_85])).
7.98/1.79	thf('130', plain, (( (zip_tseitin_75)) | (![X0 : $i]: ~ (a @ X0 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl137])).
7.98/1.79	thf(zip_derived_cl138, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_75) |  (zip_tseitin_74 @ (sk__19 @ X0) @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_85])).
7.98/1.79	thf('131', plain,
7.98/1.79	    (( (zip_tseitin_75)) | 
7.98/1.79	     (![X0 : $i]:  (zip_tseitin_74 @ (sk__19 @ X0) @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl138])).
7.98/1.79	thf(zip_derived_cl309, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_74 @ (sk__19 @ X0) @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_74 @ (sk__19 @ X0) @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl138])).
7.98/1.79	thf(zip_derived_cl136, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (a @ X0 @ X0) | ~ (zip_tseitin_74 @ X0 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_87])).
7.98/1.79	thf(zip_derived_cl1254, plain,
7.98/1.79	    ((![X0 : $i]:  (a @ (sk__19 @ X0) @ (sk__19 @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_74 @ (sk__19 @ X0) @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl136])).
7.98/1.79	thf(zip_derived_cl307, plain,
7.98/1.79	    ((![X0 : $i]: ~ (a @ X0 @ X0)) <= ((![X0 : $i]: ~ (a @ X0 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl137])).
7.98/1.79	thf('132', plain,
7.98/1.79	    (~ (![X0 : $i]: ~ (a @ X0 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_74 @ (sk__19 @ X0) @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1254, zip_derived_cl307])).
7.98/1.79	thf(zip_derived_cl4, plain, (![X0 : $i]: ( (zip_tseitin_3) | ~ (b @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_221])).
7.98/1.79	thf('133', plain, (( (zip_tseitin_3)) | (![X0 : $i]: ~ (b @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl4])).
7.98/1.79	thf(zip_derived_cl5, plain, (( (zip_tseitin_3) |  (a1 @ sk__2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_221])).
7.98/1.79	thf('134', plain, (( (zip_tseitin_3)) | ( (a1 @ sk__2))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl5])).
7.98/1.79	thf(zip_derived_cl6, plain, (( (zip_tseitin_4) | ~ (zip_tseitin_3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_219])).
7.98/1.79	thf('135', plain, (( (zip_tseitin_4)) | ~ ( (zip_tseitin_3))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl6])).
7.98/1.79	thf(zip_derived_cl7, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_4) |  (zip_tseitin_2 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_219])).
7.98/1.79	thf('136', plain, (( (zip_tseitin_4)) | (![X0 : $i]:  (zip_tseitin_2 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl7])).
7.98/1.79	thf(zip_derived_cl223, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_2 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_2 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl7])).
7.98/1.79	thf(zip_derived_cl3, plain,
7.98/1.79	    (![X0 : $i]: (~ (a1 @ X0) |  (b @ X0) | ~ (zip_tseitin_2 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_223])).
7.98/1.79	thf(zip_derived_cl544, plain,
7.98/1.79	    ((![X0 : $i]: (~ (a1 @ X0) |  (b @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_2 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl3])).
7.98/1.79	thf(zip_derived_cl217, plain,
7.98/1.79	    ((![X0 : $i]: ~ (b @ X0)) <= ((![X0 : $i]: ~ (b @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl4])).
7.98/1.79	thf(zip_derived_cl555, plain,
7.98/1.79	    ((![X0 : $i]: ~ (a1 @ X0))
7.98/1.79	       <= ((![X0 : $i]: ~ (b @ X0)) & (![X0 : $i]:  (zip_tseitin_2 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl544, zip_derived_cl217])).
7.98/1.79	thf(zip_derived_cl219, plain, (( (a1 @ sk__2)) <= (( (a1 @ sk__2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl5])).
7.98/1.79	thf('137', plain,
7.98/1.79	    (~ ( (a1 @ sk__2)) | ~ (![X0 : $i]:  (zip_tseitin_2 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]: ~ (b @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl555, zip_derived_cl219])).
7.98/1.79	thf(zip_derived_cl38, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_21) | ~ (zip_tseitin_20 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_189])).
7.98/1.79	thf('138', plain,
7.98/1.79	    (( (zip_tseitin_21)) | (![X0 : $i]: ~ (zip_tseitin_20 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl38])).
7.98/1.79	thf(zip_derived_cl39, plain, (( (zip_tseitin_21) |  (b @ sk__6))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_189])).
7.98/1.79	thf('139', plain, (( (zip_tseitin_21)) | ( (b @ sk__6))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl39])).
7.98/1.79	thf(zip_derived_cl37, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_20 @ X0) | ~ (b @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_191])).
7.98/1.79	thf(zip_derived_cl249, plain,
7.98/1.79	    ((![X0 : $i]: ~ (zip_tseitin_20 @ X0))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_20 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl38])).
7.98/1.79	thf(zip_derived_cl517, plain,
7.98/1.79	    ((![X0 : $i]: ~ (b @ X0)) <= ((![X0 : $i]: ~ (zip_tseitin_20 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl249])).
7.98/1.79	thf(zip_derived_cl251, plain, (( (b @ sk__6)) <= (( (b @ sk__6)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl39])).
7.98/1.79	thf('140', plain,
7.98/1.79	    (~ ( (b @ sk__6)) | ~ (![X0 : $i]: ~ (zip_tseitin_20 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl517, zip_derived_cl251])).
7.98/1.79	thf(zip_derived_cl11, plain, (( (zip_tseitin_6) |  (zip_tseitin_2 @ sk__3))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_215])).
7.98/1.79	thf(zip_derived_cl231, plain,
7.98/1.79	    (( (zip_tseitin_2 @ sk__3)) <= (( (zip_tseitin_2 @ sk__3)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl11])).
7.98/1.79	thf(zip_derived_cl3, plain,
7.98/1.79	    (![X0 : $i]: (~ (a1 @ X0) |  (b @ X0) | ~ (zip_tseitin_2 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_223])).
7.98/1.79	thf(zip_derived_cl550, plain,
7.98/1.79	    (((~ (a1 @ sk__3) |  (b @ sk__3))) <= (( (zip_tseitin_2 @ sk__3)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl231, zip_derived_cl3])).
7.98/1.79	thf(zip_derived_cl614, plain, (( (b @ sk__3)) <= (( (b @ sk__3)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl550])).
7.98/1.79	thf(zip_derived_cl217, plain,
7.98/1.79	    ((![X0 : $i]: ~ (b @ X0)) <= ((![X0 : $i]: ~ (b @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl4])).
7.98/1.79	thf('141', plain, (~ ( (b @ sk__3)) | ~ (![X0 : $i]: ~ (b @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl614, zip_derived_cl217])).
7.98/1.79	thf(zip_derived_cl615, plain, ((~ (a1 @ sk__3)) <= (~ ( (a1 @ sk__3)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl550])).
7.98/1.79	thf(zip_derived_cl9, plain, (![X0 : $i]: ( (zip_tseitin_5) |  (a1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_217])).
7.98/1.79	thf(zip_derived_cl227, plain,
7.98/1.79	    ((![X0 : $i]:  (a1 @ X0)) <= ((![X0 : $i]:  (a1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl9])).
7.98/1.79	thf('142', plain, (~ (![X0 : $i]:  (a1 @ X0)) | ( (a1 @ sk__3))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl615, zip_derived_cl227])).
7.98/1.79	thf(zip_derived_cl8, plain, (![X0 : $i]: ( (zip_tseitin_5) | ~ (b @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_217])).
7.98/1.79	thf('143', plain, ((![X0 : $i]: ~ (b @ X0)) | ( (zip_tseitin_5))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl8])).
7.98/1.79	thf('144', plain, (( (zip_tseitin_5)) | (![X0 : $i]:  (a1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl9])).
7.98/1.79	thf(zip_derived_cl10, plain, (( (zip_tseitin_6) | ~ (zip_tseitin_5))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_215])).
7.98/1.79	thf('145', plain, (( (zip_tseitin_6)) | ~ ( (zip_tseitin_5))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl10])).
7.98/1.79	thf('146', plain, (( (zip_tseitin_6)) | ( (zip_tseitin_2 @ sk__3))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl11])).
7.98/1.79	thf('147', plain,
7.98/1.79	    (~ ( (a1 @ sk__3)) | ~ ( (zip_tseitin_2 @ sk__3)) | ( (b @ sk__3))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl550])).
7.98/1.79	thf(zip_derived_cl54, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_31 @ X0 @ X1) | ~ (p1 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_172])).
7.98/1.79	thf(zip_derived_cl389, plain,
7.98/1.79	    ((![X4 : $i]: ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4)))
7.98/1.79	       <= ((![X4 : $i]: ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl587, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ (sk__41 @ X0)))
7.98/1.79	       <= ((![X4 : $i]: ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4))))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl389])).
7.98/1.79	thf(zip_derived_cl55, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_31 @ X0 @ X1) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_172])).
7.98/1.79	thf(zip_derived_cl389, plain,
7.98/1.79	    ((![X4 : $i]: ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4)))
7.98/1.79	       <= ((![X4 : $i]: ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl595, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0))
7.98/1.79	       <= ((![X4 : $i]: ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4))))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl389])).
7.98/1.79	thf('148', plain, (~ (![X4 : $i]: ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4)))),
7.98/1.79	    inference('demod', [status(thm)], [zip_derived_cl587, zip_derived_cl595])).
7.98/1.79	thf(zip_derived_cl178, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_97 @ X0) | ~ (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_37])).
7.98/1.79	thf(zip_derived_cl391, plain,
7.98/1.79	    ((![X2 : $i]: ~ (zip_tseitin_97 @ X2))
7.98/1.79	       <= ((![X2 : $i]: ~ (zip_tseitin_97 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl697, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X2 : $i]: ~ (zip_tseitin_97 @ X2)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl391])).
7.98/1.79	thf(zip_derived_cl179, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_97 @ X0) |  (p1 @ sk__26))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_37])).
7.98/1.79	thf(zip_derived_cl353, plain, (( (p1 @ sk__26)) <= (( (p1 @ sk__26)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl179])).
7.98/1.79	thf('149', plain,
7.98/1.79	    (~ (![X2 : $i]: ~ (zip_tseitin_97 @ X2)) | ~ ( (p1 @ sk__26))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl697, zip_derived_cl353])).
7.98/1.79	thf(zip_derived_cl352, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_97 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_97 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl179])).
7.98/1.79	thf(zip_derived_cl391, plain,
7.98/1.79	    ((![X2 : $i]: ~ (zip_tseitin_97 @ X2))
7.98/1.79	       <= ((![X2 : $i]: ~ (zip_tseitin_97 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('150', plain,
7.98/1.79	    (~ (![X2 : $i]: ~ (zip_tseitin_97 @ X2)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_97 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl352, zip_derived_cl391])).
7.98/1.79	thf('151', plain, ((![X0 : $i]:  (zip_tseitin_97 @ X0)) | ( (p1 @ sk__26))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl179])).
7.98/1.79	thf(zip_derived_cl161, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_88 @ X0) |  (zip_tseitin_85 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_59])).
7.98/1.79	thf(zip_derived_cl402, plain,
7.98/1.79	    ((~ (zip_tseitin_88 @ sk__36)) <= (~ ( (zip_tseitin_88 @ sk__36)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl835, plain,
7.98/1.79	    (( (zip_tseitin_85 @ sk__36)) <= (~ ( (zip_tseitin_88 @ sk__36)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl402])).
7.98/1.79	thf(zip_derived_cl156, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_58 @ X0) | ~ (zip_tseitin_85 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_65])).
7.98/1.79	thf(zip_derived_cl330, plain,
7.98/1.79	    ((![X1 : $i]: ~ (zip_tseitin_85 @ X1))
7.98/1.79	       <= ((![X1 : $i]: ~ (zip_tseitin_85 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl156])).
7.98/1.79	thf('152', plain,
7.98/1.79	    (( (zip_tseitin_88 @ sk__36)) | ~ (![X1 : $i]: ~ (zip_tseitin_85 @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl835, zip_derived_cl330])).
7.98/1.79	thf('153', plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_58 @ X0)) | ~ ( (zip_tseitin_59))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl104])).
7.98/1.79	thf(zip_derived_cl147, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_80) |  (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_75])).
7.98/1.79	thf('154', plain,
7.98/1.79	    (( (zip_tseitin_80)) | (![X0 : $i]:  (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl147])).
7.98/1.79	thf('155', plain,
7.98/1.79	    ((![X1 : $i]: ~ (zip_tseitin_85 @ X1)) | 
7.98/1.79	     (![X0 : $i]:  (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl156])).
7.98/1.79	thf(zip_derived_cl109, plain, (( (zip_tseitin_61) |  (zip_tseitin_59))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_112])).
7.98/1.79	thf('156', plain, (( (zip_tseitin_61)) | ( (zip_tseitin_59))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl109])).
7.98/1.79	thf('157', plain,
7.98/1.79	    (~ ( (zip_tseitin_34 @ sk__53 @ sk__52)) | 
7.98/1.79	     ~ ( (zip_tseitin_88 @ sk__36)) | 
7.98/1.79	     (![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40)) | 
7.98/1.79	     (![X0 : $i, X1 : $i]: ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32)) | 
7.98/1.79	     ~ ( (zip_tseitin_84 @ sk__37)) | ~ ( (zip_tseitin_106)) | 
7.98/1.79	     ~ ( (zip_tseitin_96)) | 
7.98/1.79	     (![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)) | 
7.98/1.79	     (![X5 : $i, X6 : $i]: ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)) | 
7.98/1.79	     ~ ( (zip_tseitin_100)) | ~ ( (zip_tseitin_25)) | 
7.98/1.79	     ~ ( (zip_tseitin_53)) | ~ ( (zip_tseitin_73)) | 
7.98/1.79	     (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	        ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)) | 
7.98/1.79	     ~ ( (zip_tseitin_78 @ sk__39 @ sk__38)) | ~ ( (zip_tseitin_94)) | 
7.98/1.79	     ~ ( (zip_tseitin_104)) | ~ ( (zip_tseitin_75)) | ~ ( (zip_tseitin_4)) | 
7.98/1.79	     ~ ( (zip_tseitin_21)) | ~ ( (zip_tseitin_6)) | 
7.98/1.79	     ~ ( (zip_tseitin_71 @ sk__44)) | ~ ( (zip_tseitin_89)) | 
7.98/1.79	     ~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) | 
7.98/1.79	     ~ ( (zip_tseitin_48)) | ~ ( (zip_tseitin_110 @ sk__31 @ sk__30)) | 
7.98/1.79	     ~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) | 
7.98/1.79	     ~ ( (zip_tseitin_22)) | ~ ( (zip_tseitin_46)) | ~ ( (zip_tseitin_9)) | 
7.98/1.79	     ~ ( (zip_tseitin_29 @ sk__55 @ sk__54)) | 
7.98/1.79	     ~ ( (zip_tseitin_19 @ sk__57 @ sk__56)) | ~ ( (zip_tseitin_80)) | 
7.98/1.79	     ~ ( (zip_tseitin_1)) | ~ ( (zip_tseitin_47)) | 
7.98/1.79	     ~ ( (zip_tseitin_72 @ sk__43 @ sk__42)) | 
7.98/1.79	     (![X4 : $i]: ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4))) | 
7.98/1.79	     ~ ( (zip_tseitin_61)) | (![X2 : $i]: ~ (zip_tseitin_97 @ X2)) | 
7.98/1.79	     ~ ( (zip_tseitin_95 @ sk__35 @ sk__34))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('158', plain,
7.98/1.79	    ((![X0 : $i, X2 : $i]: (~ (p1 @ X0) |  (zip_tseitin_110 @ X0 @ X2))) | 
7.98/1.79	     (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2019])).
7.98/1.79	thf('159', plain,
7.98/1.79	    ((![X0 : $i, X2 : $i]: (~ (p1 @ X0) |  (zip_tseitin_110 @ X0 @ X2)))),
7.98/1.79	    inference('sat_resolution*', [status(thm)],
7.98/1.79	              ['5', '6', '7', '8', '9', '10', '11', '12', '13', '14', '15', 
7.98/1.79	               '16', '17', '18', '19', '20', '21', '22', '23', '24', '25', 
7.98/1.79	               '26', '27', '28', '29', '30', '31', '32', '33', '34', '35', 
7.98/1.79	               '36', '37', '38', '39', '40', '41', '42', '43', '44', '45', 
7.98/1.79	               '46', '47', '48', '49', '50', '51', '52', '53', '54', '55', 
7.98/1.79	               '56', '57', '58', '59', '60', '61', '62', '63', '64', '65', 
7.98/1.79	               '66', '67', '68', '69', '70', '71', '72', '73', '74', '75', 
7.98/1.79	               '76', '77', '78', '79', '80', '81', '82', '83', '84', '85', 
7.98/1.79	               '86', '87', '88', '89', '90', '91', '92', '93', '94', '95', 
7.98/1.79	               '96', '97', '98', '99', '100', '101', '102', '103', '104', 
7.98/1.79	               '105', '106', '107', '108', '109', '110', '111', '112', 
7.98/1.79	               '113', '114', '115', '116', '117', '118', '119', '120', 
7.98/1.79	               '121', '122', '123', '124', '125', '126', '127', '128', 
7.98/1.79	               '129', '130', '131', '132', '133', '134', '135', '136', 
7.98/1.79	               '137', '138', '139', '140', '141', '142', '143', '144', 
7.98/1.79	               '145', '146', '147', '148', '149', '150', '151', '152', 
7.98/1.79	               '153', '154', '155', '156', '157', '158'])).
7.98/1.79	thf(zip_derived_cl2894, plain,
7.98/1.79	    ((~ (p1 @ sk__31)) <= (~ ( (zip_tseitin_110 @ sk__31 @ sk__30)))),
7.98/1.79	    inference('simpl_trail', [status(thm)], [zip_derived_cl2780, '159'])).
7.98/1.79	thf(zip_derived_cl346, plain,
7.98/1.79	    ((![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl175])).
7.98/1.79	thf(zip_derived_cl1653, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (p1 @ X1)
7.98/1.79	        | ~ (zip_tseitin_32 @ X1 @ X2)
7.98/1.79	        |  (zip_tseitin_110 @ X2 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1421])).
7.98/1.79	thf(zip_derived_cl2021, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: ( (p1 @ X0) |  (zip_tseitin_110 @ X0 @ X1)))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl346, zip_derived_cl1653])).
7.98/1.79	thf(zip_derived_cl404, plain,
7.98/1.79	    ((~ (zip_tseitin_110 @ sk__31 @ sk__30))
7.98/1.79	       <= (~ ( (zip_tseitin_110 @ sk__31 @ sk__30)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl2022, plain,
7.98/1.79	    (( (p1 @ sk__31))
7.98/1.79	       <= (~ ( (zip_tseitin_110 @ sk__31 @ sk__30)) & 
7.98/1.79	           (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl2021, zip_derived_cl404])).
7.98/1.79	thf('160', plain,
7.98/1.79	    (~ (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)) | 
7.98/1.79	     ( (zip_tseitin_110 @ sk__31 @ sk__30))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2894, zip_derived_cl2022])).
7.98/1.79	thf(zip_derived_cl80, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_46) |  (zip_tseitin_45 @ (sk__9 @ X0) @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_142])).
7.98/1.79	thf('161', plain,
7.98/1.79	    (( (zip_tseitin_46)) | 
7.98/1.79	     (![X0 : $i]:  (zip_tseitin_45 @ (sk__9 @ X0) @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl80])).
7.98/1.79	thf(zip_derived_cl269, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_45 @ (sk__9 @ X0) @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_45 @ (sk__9 @ X0) @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl80])).
7.98/1.79	thf(zip_derived_cl78, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_45 @ X1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_144])).
7.98/1.79	thf(zip_derived_cl690, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_45 @ (sk__9 @ X0) @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl78])).
7.98/1.79	thf(zip_derived_cl532, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ (sk__8 @ X0)))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_8 @ (sk__8 @ X0) @ X0)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl15])).
7.98/1.79	thf('162', plain,
7.98/1.79	    (~ (![X0 : $i]:  (zip_tseitin_45 @ (sk__9 @ X0) @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]: ~ (zip_tseitin_8 @ (sk__8 @ X0) @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl690, zip_derived_cl532])).
7.98/1.79	thf(zip_derived_cl1687, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ (f @ X0)))
7.98/1.79	       <= ((![X2 : $i]:  (q1 @ (f @ X2))) & 
7.98/1.79	           (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1676, zip_derived_cl247])).
7.98/1.79	thf(zip_derived_cl1525, plain,
7.98/1.79	    ((![X3 : $i]:  (p1 @ (f @ X3))) <= ((![X3 : $i]:  (p1 @ (f @ X3))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1495])).
7.98/1.79	thf('163', plain,
7.98/1.79	    (~ (![X3 : $i]:  (p1 @ (f @ X3))) | 
7.98/1.79	     ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) | 
7.98/1.79	     ~ (![X2 : $i]:  (q1 @ (f @ X2)))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1687, zip_derived_cl1525])).
7.98/1.79	thf(zip_derived_cl1250, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_72 @ X1 @ X0)
7.98/1.79	        | ~ (q1 @ X2)
7.98/1.79	        | ~ (zip_tseitin_27 @ X3 @ X2 @ X1 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl50])).
7.98/1.79	thf(zip_derived_cl49, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       ( (zip_tseitin_27 @ X0 @ X1 @ X2 @ X3) |  (p1 @ (f @ X0)))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_6])).
7.98/1.79	thf(zip_derived_cl1534, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
7.98/1.79	       (~ (q1 @ X2) |  (zip_tseitin_72 @ X1 @ X0) |  (p1 @ (f @ X3)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl1250, zip_derived_cl49])).
7.98/1.79	thf('164', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_72 @ X0 @ X1)) | 
7.98/1.79	     (![X3 : $i]:  (p1 @ (f @ X3))) | (![X0 : $i]: ~ (q1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1534])).
7.98/1.79	thf(zip_derived_cl1174, plain,
7.98/1.79	    ((![X0 : $i]: ~ (q1 @ X0)) <= ((![X0 : $i]: ~ (q1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1172])).
7.98/1.79	thf(zip_derived_cl247, plain,
7.98/1.79	    ((![X2 : $i]:  (q1 @ (f @ X2))) <= ((![X2 : $i]:  (q1 @ (f @ X2))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl35])).
7.98/1.79	thf('165', plain,
7.98/1.79	    (~ (![X0 : $i]: ~ (q1 @ X0)) | ~ (![X2 : $i]:  (q1 @ (f @ X2)))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1174, zip_derived_cl247])).
7.98/1.79	thf(zip_derived_cl145, plain, (![X0 : $i]: ( (zip_tseitin_79) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_77])).
7.98/1.79	thf('166', plain, (( (zip_tseitin_79)) | (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl145])).
7.98/1.79	thf(zip_derived_cl159, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_87 @ X0) |  (zip_tseitin_86 @ X1))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_61])).
7.98/1.79	thf(zip_derived_cl332, plain,
7.98/1.79	    ((![X1 : $i]:  (zip_tseitin_86 @ X1))
7.98/1.79	       <= ((![X1 : $i]:  (zip_tseitin_86 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl159])).
7.98/1.79	thf(zip_derived_cl157, plain,
7.98/1.79	    (![X0 : $i]: (~ (r1 @ X0) |  (p1 @ X0) | ~ (zip_tseitin_86 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_63])).
7.98/1.79	thf(zip_derived_cl842, plain,
7.98/1.79	    ((![X0 : $i]: (~ (r1 @ X0) |  (p1 @ X0)))
7.98/1.79	       <= ((![X1 : $i]:  (zip_tseitin_86 @ X1)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl332, zip_derived_cl157])).
7.98/1.79	thf(zip_derived_cl835, plain,
7.98/1.79	    (( (zip_tseitin_85 @ sk__36)) <= (~ ( (zip_tseitin_88 @ sk__36)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl402])).
7.98/1.79	thf(zip_derived_cl155, plain,
7.98/1.79	    (![X0 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_85 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_65])).
7.98/1.79	thf(zip_derived_cl837, plain,
7.98/1.79	    (( (r1 @ sk__36)) <= (~ ( (zip_tseitin_88 @ sk__36)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl835, zip_derived_cl155])).
7.98/1.79	thf(zip_derived_cl844, plain,
7.98/1.79	    (( (p1 @ sk__36))
7.98/1.79	       <= (~ ( (zip_tseitin_88 @ sk__36)) & 
7.98/1.79	           (![X1 : $i]:  (zip_tseitin_86 @ X1)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl842, zip_derived_cl837])).
7.98/1.79	thf(zip_derived_cl745, plain,
7.98/1.79	    ((~ (p1 @ sk__36))
7.98/1.79	       <= (~ ( (zip_tseitin_88 @ sk__36)) & 
7.98/1.79	           (![X0 : $i]:  (zip_tseitin_58 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl741, zip_derived_cl735])).
7.98/1.79	thf('167', plain,
7.98/1.79	    (( (zip_tseitin_88 @ sk__36)) | ~ (![X1 : $i]:  (zip_tseitin_86 @ X1)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl844, zip_derived_cl745])).
7.98/1.79	thf(zip_derived_cl733, plain,
7.98/1.79	    ((~ (zip_tseitin_87 @ sk__36)) <= (~ ( (zip_tseitin_88 @ sk__36)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl402])).
7.98/1.79	thf(zip_derived_cl333, plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_87 @ X0))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_87 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl159])).
7.98/1.79	thf('168', plain,
7.98/1.79	    (( (zip_tseitin_88 @ sk__36)) | ~ (![X0 : $i]:  (zip_tseitin_87 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl733, zip_derived_cl333])).
7.98/1.79	thf('169', plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_87 @ X0)) | 
7.98/1.79	     (![X1 : $i]:  (zip_tseitin_86 @ X1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl159])).
7.98/1.79	thf(zip_derived_cl163, plain, (![X0 : $i]: ( (zip_tseitin_89) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_57])).
7.98/1.79	thf('170', plain, (( (zip_tseitin_89)) | (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl163])).
7.98/1.79	thf(zip_derived_cl55, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_31 @ X0 @ X1) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_172])).
7.98/1.79	thf(zip_derived_cl1550, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       (~ (p1 @ X0)
7.98/1.79	        |  (zip_tseitin_95 @ X0 @ X2)
7.98/1.79	        | ~ (zip_tseitin_31 @ X1 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl1339])).
7.98/1.79	thf(zip_derived_cl1655, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (p1 @ X1) | ~ (p1 @ X2) |  (zip_tseitin_95 @ X2 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1550])).
7.98/1.79	thf(zip_derived_cl1656, plain,
7.98/1.79	    ((![X0 : $i, X2 : $i]: (~ (p1 @ X2) |  (zip_tseitin_95 @ X2 @ X0)))
7.98/1.79	       <= ((![X0 : $i, X2 : $i]: (~ (p1 @ X2) |  (zip_tseitin_95 @ X2 @ X0))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1655])).
7.98/1.79	thf(zip_derived_cl403, plain,
7.98/1.79	    ((~ (zip_tseitin_95 @ sk__35 @ sk__34))
7.98/1.79	       <= (~ ( (zip_tseitin_95 @ sk__35 @ sk__34)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1658, plain,
7.98/1.79	    ((~ (p1 @ sk__35))
7.98/1.79	       <= (~ ( (zip_tseitin_95 @ sk__35 @ sk__34)) & 
7.98/1.79	           (![X0 : $i, X2 : $i]: (~ (p1 @ X2) |  (zip_tseitin_95 @ X2 @ X0))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1656, zip_derived_cl403])).
7.98/1.79	thf(zip_derived_cl346, plain,
7.98/1.79	    ((![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl175])).
7.98/1.79	thf(zip_derived_cl1339, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_95 @ X1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_32 @ X2 @ X1)
7.98/1.79	        | ~ (zip_tseitin_31 @ X2 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl58])).
7.98/1.79	thf(zip_derived_cl1552, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:
7.98/1.79	        ( (zip_tseitin_95 @ X0 @ X1) | ~ (zip_tseitin_31 @ X0 @ X1)))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl346, zip_derived_cl1339])).
7.98/1.79	thf(zip_derived_cl403, plain,
7.98/1.79	    ((~ (zip_tseitin_95 @ sk__35 @ sk__34))
7.98/1.79	       <= (~ ( (zip_tseitin_95 @ sk__35 @ sk__34)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf(zip_derived_cl1553, plain,
7.98/1.79	    ((~ (zip_tseitin_31 @ sk__35 @ sk__34))
7.98/1.79	       <= (~ ( (zip_tseitin_95 @ sk__35 @ sk__34)) & 
7.98/1.79	           (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1552, zip_derived_cl403])).
7.98/1.79	thf(zip_derived_cl55, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_31 @ X0 @ X1) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_172])).
7.98/1.79	thf(zip_derived_cl1555, plain,
7.98/1.79	    (( (p1 @ sk__35))
7.98/1.79	       <= (~ ( (zip_tseitin_95 @ sk__35 @ sk__34)) & 
7.98/1.79	           (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl1553, zip_derived_cl55])).
7.98/1.79	thf('171', plain,
7.98/1.79	    (~ (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)) | 
7.98/1.79	     ( (zip_tseitin_95 @ sk__35 @ sk__34)) | 
7.98/1.79	     ~ (![X0 : $i, X2 : $i]: (~ (p1 @ X2) |  (zip_tseitin_95 @ X2 @ X0)))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1658, zip_derived_cl1555])).
7.98/1.79	thf('172', plain,
7.98/1.79	    ((![X0 : $i, X2 : $i]: (~ (p1 @ X2) |  (zip_tseitin_95 @ X2 @ X0))) | 
7.98/1.79	     (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1655])).
7.98/1.79	thf(zip_derived_cl347, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_95 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_95 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl175])).
7.98/1.79	thf(zip_derived_cl403, plain,
7.98/1.79	    ((~ (zip_tseitin_95 @ sk__35 @ sk__34))
7.98/1.79	       <= (~ ( (zip_tseitin_95 @ sk__35 @ sk__34)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('173', plain,
7.98/1.79	    (( (zip_tseitin_95 @ sk__35 @ sk__34)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_95 @ X0 @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl347, zip_derived_cl403])).
7.98/1.79	thf('174', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_95 @ X0 @ X1)) | 
7.98/1.79	     (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl175])).
7.98/1.79	thf(zip_derived_cl84, plain,
7.98/1.79	    (( (zip_tseitin_48) |  (p1 @ sk__11) |  (p1 @ sk__12))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_138])).
7.98/1.79	thf(zip_derived_cl279, plain, (( (p1 @ sk__11)) <= (( (p1 @ sk__11)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl84])).
7.98/1.79	thf(zip_derived_cl253, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X0 : $i]: ~ (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl40])).
7.98/1.79	thf('175', plain, (~ (![X0 : $i]: ~ (p1 @ X0)) | ~ ( (p1 @ sk__11))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl253])).
7.98/1.79	thf(zip_derived_cl278, plain, (( (p1 @ sk__12)) <= (( (p1 @ sk__12)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl84])).
7.98/1.79	thf(zip_derived_cl253, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X0 : $i]: ~ (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl40])).
7.98/1.79	thf('176', plain, (~ (![X0 : $i]: ~ (p1 @ X0)) | ~ ( (p1 @ sk__12))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl278, zip_derived_cl253])).
7.98/1.79	thf('177', plain,
7.98/1.79	    (( (zip_tseitin_48)) | ( (p1 @ sk__11)) | ( (p1 @ sk__12))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl84])).
7.98/1.79	thf(zip_derived_cl82, plain, (( (zip_tseitin_47) |  (p1 @ sk__10))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_140])).
7.98/1.79	thf('178', plain, (( (zip_tseitin_47)) | ( (p1 @ sk__10))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl82])).
7.98/1.79	thf(zip_derived_cl273, plain, (( (p1 @ sk__10)) <= (( (p1 @ sk__10)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl82])).
7.98/1.79	thf(zip_derived_cl253, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X0 : $i]: ~ (p1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl40])).
7.98/1.79	thf('179', plain, (~ (![X0 : $i]: ~ (p1 @ X0)) | ~ ( (p1 @ sk__10))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl273, zip_derived_cl253])).
7.98/1.79	thf(zip_derived_cl55, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_31 @ X0 @ X1) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_172])).
7.98/1.79	thf(zip_derived_cl57, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_32 @ X0 @ X1) |  (q1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_170])).
7.98/1.79	thf(zip_derived_cl625, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_34 @ X1 @ X0)
7.98/1.79	        | ~ (zip_tseitin_32 @ X2 @ X1)
7.98/1.79	        | ~ (zip_tseitin_31 @ X2 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl58])).
7.98/1.79	thf(zip_derived_cl1508, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (q1 @ X1)
7.98/1.79	        |  (zip_tseitin_34 @ X0 @ X2)
7.98/1.79	        | ~ (zip_tseitin_31 @ X1 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl625])).
7.98/1.79	thf(zip_derived_cl1785, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (p1 @ X1) |  (q1 @ X1) |  (zip_tseitin_34 @ X2 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1508])).
7.98/1.79	thf(zip_derived_cl2210, plain,
7.98/1.79	    ((![X1 : $i]: ( (p1 @ X1) |  (q1 @ X1)))
7.98/1.79	       <= ((![X1 : $i]: ( (p1 @ X1) |  (q1 @ X1))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1785])).
7.98/1.79	thf(zip_derived_cl60, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (zip_tseitin_34 @ X0 @ X1) |  (zip_tseitin_30 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_166])).
7.98/1.79	thf(zip_derived_cl265, plain,
7.98/1.79	    ((![X2 : $i]:  (zip_tseitin_30 @ X2))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_30 @ X2)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl60])).
7.98/1.79	thf(zip_derived_cl53, plain,
7.98/1.79	    (![X0 : $i]: (~ (q1 @ X0) |  (p1 @ X0) | ~ (zip_tseitin_30 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_174])).
7.98/1.79	thf(zip_derived_cl579, plain,
7.98/1.79	    ((![X0 : $i]: (~ (q1 @ X0) |  (p1 @ X0)))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_30 @ X2)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl265, zip_derived_cl53])).
7.98/1.79	thf(zip_derived_cl2211, plain,
7.98/1.79	    ((![X0 : $i]: ( (p1 @ X0) |  (p1 @ X0)))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_30 @ X2)) & 
7.98/1.79	           (![X1 : $i]: ( (p1 @ X1) |  (q1 @ X1))))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl2210, zip_derived_cl579])).
7.98/1.79	thf(zip_derived_cl2219, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_30 @ X2)) & 
7.98/1.79	           (![X1 : $i]: ( (p1 @ X1) |  (q1 @ X1))))),
7.98/1.79	    inference('simplify', [status(thm)], [zip_derived_cl2211])).
7.98/1.79	thf(zip_derived_cl1630, plain, ((~ (p1 @ sk__53)) <= (~ ( (p1 @ sk__53)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1629])).
7.98/1.79	thf('180', plain,
7.98/1.79	    (( (p1 @ sk__53)) | ~ (![X1 : $i]: ( (p1 @ X1) |  (q1 @ X1))) | 
7.98/1.79	     ~ (![X2 : $i]:  (zip_tseitin_30 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl2219, zip_derived_cl1630])).
7.98/1.79	thf(zip_derived_cl2219, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0))
7.98/1.79	       <= ((![X2 : $i]:  (zip_tseitin_30 @ X2)) & 
7.98/1.79	           (![X1 : $i]: ( (p1 @ X1) |  (q1 @ X1))))),
7.98/1.79	    inference('simplify', [status(thm)], [zip_derived_cl2211])).
7.98/1.79	thf(zip_derived_cl1631, plain, ((~ (p1 @ sk__52)) <= (~ ( (p1 @ sk__52)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1629])).
7.98/1.79	thf('181', plain,
7.98/1.79	    (( (p1 @ sk__52)) | ~ (![X1 : $i]: ( (p1 @ X1) |  (q1 @ X1))) | 
7.98/1.79	     ~ (![X2 : $i]:  (zip_tseitin_30 @ X2))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl2219, zip_derived_cl1631])).
7.98/1.79	thf('182', plain,
7.98/1.79	    ((![X1 : $i]: ( (p1 @ X1) |  (q1 @ X1))) | 
7.98/1.79	     (![X0 : $i, X1 : $i]:  (zip_tseitin_34 @ X0 @ X1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1785])).
7.98/1.79	thf('183', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_34 @ X0 @ X1)) | 
7.98/1.79	     (![X2 : $i]:  (zip_tseitin_30 @ X2))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl60])).
7.98/1.79	thf(zip_derived_cl266, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_34 @ X0 @ X1))
7.98/1.79	       <= ((![X0 : $i, X1 : $i]:  (zip_tseitin_34 @ X0 @ X1)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl60])).
7.98/1.79	thf(zip_derived_cl396, plain,
7.98/1.79	    ((~ (zip_tseitin_34 @ sk__53 @ sk__52))
7.98/1.79	       <= (~ ( (zip_tseitin_34 @ sk__53 @ sk__52)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('184', plain,
7.98/1.79	    (( (zip_tseitin_34 @ sk__53 @ sk__52)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_34 @ X0 @ X1))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl266, zip_derived_cl396])).
7.98/1.79	thf('185', plain,
7.98/1.79	    ((![X0 : $i]:  (zip_tseitin_10 @ X0)) | 
7.98/1.79	     (![X2 : $i, X3 : $i, X4 : $i]: ~ (zip_tseitin_12 @ X2 @ X3 @ X4))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl22])).
7.98/1.79	thf(zip_derived_cl644, plain,
7.98/1.79	    ((~ (p1 @ sk__59))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) & 
7.98/1.79	           (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)) & 
7.98/1.79	           (![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl642, zip_derived_cl492])).
7.98/1.79	thf(zip_derived_cl571, plain,
7.98/1.79	    (( (zip_tseitin_12 @ sk__60 @ sk__59 @ sk__58))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl27])).
7.98/1.79	thf(zip_derived_cl24, plain,
7.98/1.79	    (![X0 : $i, X1 : $i, X2 : $i]:
7.98/1.79	       ( (s1 @ X0) | ~ (zip_tseitin_12 @ X1 @ X0 @ X2))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_203])).
7.98/1.79	thf(zip_derived_cl637, plain,
7.98/1.79	    (( (s1 @ sk__59)) <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl571, zip_derived_cl24])).
7.98/1.79	thf(zip_derived_cl549, plain,
7.98/1.79	    ((![X0 : $i]: (~ (s1 @ X0) |  (p1 @ X0)))
7.98/1.79	       <= ((![X0 : $i]:  (zip_tseitin_10 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl18])).
7.98/1.79	thf(zip_derived_cl639, plain,
7.98/1.79	    (( (p1 @ sk__59))
7.98/1.79	       <= (~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) & 
7.98/1.79	           (![X0 : $i]:  (zip_tseitin_10 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl549])).
7.98/1.79	thf('186', plain,
7.98/1.79	    (( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) | 
7.98/1.79	     ~ (![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_10 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl644, zip_derived_cl639])).
7.98/1.79	thf(zip_derived_cl41, plain, (![X0 : $i]: ( (zip_tseitin_22) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_187])).
7.98/1.79	thf('187', plain, (( (zip_tseitin_22)) | (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl41])).
7.98/1.79	thf(zip_derived_cl12, plain, (![X0 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_7))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_213])).
7.98/1.79	thf('188', plain, (~ ( (zip_tseitin_7)) | (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl12])).
7.98/1.79	thf(zip_derived_cl17, plain, (( (zip_tseitin_9) |  (zip_tseitin_7))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_209])).
7.98/1.79	thf('189', plain, (( (zip_tseitin_9)) | ( (zip_tseitin_7))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl17])).
7.98/1.79	thf('190', plain,
7.98/1.79	    (( (zip_tseitin_34 @ sk__53 @ sk__52)) | ~ ( (p1 @ sk__53)) | 
7.98/1.79	     ~ ( (p1 @ sk__52))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1629])).
7.98/1.79	thf('191', plain,
7.98/1.79	    (( (zip_tseitin_77 @ sk__22 @ sk__21)) | ~ ( (p1 @ sk__21)) | 
7.98/1.79	     ~ ( (p1 @ sk__22))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1276])).
7.98/1.79	thf('192', plain, (( (zip_tseitin_0)) | ~ ( (p1 @ sk__1)) | ~ ( (p1 @ sk_))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl0])).
7.98/1.79	thf('193', plain,
7.98/1.79	    ((![X2 : $i]:  (q1 @ (f @ X2))) | 
7.98/1.79	     (![X0 : $i, X1 : $i]:  (zip_tseitin_72 @ X0 @ X1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl132])).
7.98/1.79	thf('194', plain,
7.98/1.79	    (( (zip_tseitin_72 @ sk__43 @ sk__42)) | ~ ( (r1 @ sk__42)) | 
7.98/1.79	     ~ ( (r1 @ sk__43)) | 
7.98/1.79	     ~
7.98/1.79	     (![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_72 @ X1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1792])).
7.98/1.79	thf('195', plain, (~ (![X1 : $i]:  (r1 @ X1)) | ( (r1 @ sk__56))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl2023, zip_derived_cl1675])).
7.98/1.79	thf('196', plain,
7.98/1.79	    ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) | (![X1 : $i]:  (r1 @ X1)) | 
7.98/1.79	     ~
7.98/1.79	     (![X2 : $i, X3 : $i]:
7.98/1.79	        ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf('197', plain,
7.98/1.79	    (~ ( (r1 @ sk__56)) | ~ ( (r1 @ sk__57)) | 
7.98/1.79	     ( (zip_tseitin_19 @ sk__57 @ sk__56)) | 
7.98/1.79	     ~
7.98/1.79	     (![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_19 @ X1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1755])).
7.98/1.79	thf('198', plain,
7.98/1.79	    (~ (![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))) | 
7.98/1.79	     ~ (![X0 : $i]:  (p1 @ X0)) | ~ (![X2 : $i]:  (q1 @ (f @ X2)))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1727, zip_derived_cl215])).
7.98/1.79	thf('199', plain,
7.98/1.79	    (~ (![X0 : $i]:  (p1 @ X0)) | ~ (![X2 : $i]:  (q1 @ (f @ X2))) | 
7.98/1.79	     ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1687, zip_derived_cl215])).
7.98/1.79	thf('200', plain,
7.98/1.79	    (~ (![X0 : $i]:  (p1 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) | 
7.98/1.79	     ( (zip_tseitin_29 @ sk__55 @ sk__54))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1688, zip_derived_cl215])).
7.98/1.79	thf('201', plain,
7.98/1.79	    ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_55 @ X3 @ X4)) | 
7.98/1.79	     (![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_56 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl100])).
7.98/1.79	thf('202', plain,
7.98/1.79	    (~ (![X2 : $i]:  (zip_tseitin_32 @ X2 @ X2)) | 
7.98/1.79	     ~ (![X0 : $i]:  (p1 @ X0)) | ( (zip_tseitin_110 @ sk__31 @ sk__30))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1990, zip_derived_cl215])).
7.98/1.79	thf('203', plain,
7.98/1.79	    ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)) | 
7.98/1.79	     (![X0 : $i, X1 : $i, X2 : $i]:  (zip_tseitin_14 @ X0 @ X1 @ X2))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl26])).
7.98/1.79	thf('204', plain,
7.98/1.79	    (~ (![X0 : $i]:  (p1 @ X0)) | 
7.98/1.79	     ~ (![X3 : $i, X4 : $i]: ~ (zip_tseitin_13 @ X3 @ X4)) | 
7.98/1.79	     ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) | 
7.98/1.79	     ~ (![X0 : $i, X1 : $i]:  (zip_tseitin_11 @ X0 @ X1))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl644, zip_derived_cl215])).
7.98/1.79	thf('205', plain, (~ (![X0 : $i]:  (p1 @ X0)) | ( (p1 @ sk__53))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1630, zip_derived_cl215])).
7.98/1.79	thf('206', plain,
7.98/1.79	    (~ (![X0 : $i]:  (p1 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]: ~ (zip_tseitin_8 @ (sk__8 @ X0) @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl532, zip_derived_cl215])).
7.98/1.79	thf('207', plain,
7.98/1.79	    (~ (![X0 : $i]:  (p1 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]: ~ (zip_tseitin_8 @ (sk__5 @ X0) @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl514, zip_derived_cl215])).
7.98/1.79	thf('208', plain,
7.98/1.79	    (~ ( (r1 @ sk__17)) | ~ (![X0 : $i]: ~ (zip_tseitin_60 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl726, zip_derived_cl659])).
7.98/1.79	thf('209', plain, (~ ( (zip_tseitin_59)) | ( (zip_tseitin_57 @ sk__17))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl105])).
7.98/1.79	thf('210', plain,
7.98/1.79	    (~ ( (zip_tseitin_57 @ sk__17)) | ( (r1 @ sk__17)) | ~ ( (q1 @ sk__17))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl725])).
7.98/1.79	thf('211', plain, (( (zip_tseitin_99)) | ~ ( (a0)) | ~ ( (b0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl182])).
7.98/1.79	thf('212', plain,
7.98/1.79	    (~ (![X0 : $i]:  (zip_tseitin_74 @ (sk__19 @ X0) @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]: ~ (a @ X0 @ X0))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl1254, zip_derived_cl307])).
7.98/1.79	thf('213', plain,
7.98/1.79	    (~ ( (zip_tseitin_59)) | (![X0 : $i]:  (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl104])).
7.98/1.79	thf('214', plain,
7.98/1.79	    (~ ( (zip_tseitin_19 @ sk__57 @ sk__56)) | 
7.98/1.79	     ~ ( (zip_tseitin_88 @ sk__36)) | 
7.98/1.79	     (![X3 : $i]:  (zip_tseitin_76 @ X3 @ sk__40)) | 
7.98/1.79	     (![X0 : $i, X1 : $i]: ~ (zip_tseitin_108 @ X0 @ X1 @ sk__33 @ sk__32)) | 
7.98/1.79	     ~ ( (zip_tseitin_84 @ sk__37)) | ~ ( (zip_tseitin_106)) | 
7.98/1.79	     ~ ( (zip_tseitin_96)) | 
7.98/1.79	     (![X7 : $i, X8 : $i]: ~ (zip_tseitin_52 @ X7 @ (sk__50 @ X8) @ X8)) | 
7.98/1.79	     (![X5 : $i, X6 : $i]: ~ (zip_tseitin_66 @ X5 @ X6 @ sk__46 @ sk__45)) | 
7.98/1.79	     ~ ( (zip_tseitin_100)) | ~ ( (zip_tseitin_25)) | 
7.98/1.79	     ~ ( (zip_tseitin_53)) | ~ ( (zip_tseitin_73)) | 
7.98/1.79	     (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
7.98/1.79	        ~ (zip_tseitin_44 @ X9 @ X10 @ X11 @ X12 @ X13 @ sk__51)) | 
7.98/1.79	     ~ ( (zip_tseitin_78 @ sk__39 @ sk__38)) | ~ ( (zip_tseitin_94)) | 
7.98/1.79	     ~ ( (zip_tseitin_104)) | ~ ( (zip_tseitin_75)) | ~ ( (zip_tseitin_4)) | 
7.98/1.79	     ~ ( (zip_tseitin_21)) | ~ ( (zip_tseitin_6)) | 
7.98/1.79	     ~ ( (zip_tseitin_71 @ sk__44)) | ~ ( (zip_tseitin_89)) | 
7.98/1.79	     ~ ( (zip_tseitin_48)) | ~ ( (zip_tseitin_47)) | 
7.98/1.79	     ~ ( (zip_tseitin_34 @ sk__53 @ sk__52)) | 
7.98/1.79	     ~ ( (zip_tseitin_14 @ sk__60 @ sk__59 @ sk__58)) | 
7.98/1.79	     ~ ( (zip_tseitin_22)) | 
7.98/1.79	     ~ ( (zip_tseitin_56 @ sk__49 @ sk__48 @ sk__47)) | 
7.98/1.79	     ~ ( (zip_tseitin_9)) | ~ ( (zip_tseitin_29 @ sk__55 @ sk__54)) | 
7.98/1.79	     ~ ( (zip_tseitin_61)) | ~ ( (zip_tseitin_80)) | ~ ( (zip_tseitin_1)) | 
7.98/1.79	     ~ ( (zip_tseitin_110 @ sk__31 @ sk__30)) | 
7.98/1.79	     ~ ( (zip_tseitin_72 @ sk__43 @ sk__42)) | 
7.98/1.79	     (![X4 : $i]: ~ (zip_tseitin_31 @ X4 @ (sk__41 @ X4))) | 
7.98/1.79	     ~ ( (zip_tseitin_46)) | (![X2 : $i]: ~ (zip_tseitin_97 @ X2)) | 
7.98/1.79	     ~ ( (zip_tseitin_95 @ sk__35 @ sk__34))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl209])).
7.98/1.79	thf('215', plain, (( (zip_tseitin_1)) | (![X0 : $i]:  (p1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl2])).
7.98/1.79	thf(zip_derived_cl743, plain,
7.98/1.79	    ((~ (p1 @ sk__17))
7.98/1.79	       <= (~ ( (q1 @ sk__17)) & (![X0 : $i]:  (zip_tseitin_58 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl741, zip_derived_cl727])).
7.98/1.79	thf(zip_derived_cl107, plain,
7.98/1.79	    (![X0 : $i]: ( (zip_tseitin_60 @ X0) |  (p1 @ X0))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_114])).
7.98/1.79	thf(zip_derived_cl297, plain,
7.98/1.79	    ((![X0 : $i]: ~ (zip_tseitin_60 @ X0))
7.98/1.79	       <= ((![X0 : $i]: ~ (zip_tseitin_60 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl108])).
7.98/1.79	thf(zip_derived_cl666, plain,
7.98/1.79	    ((![X0 : $i]:  (p1 @ X0)) <= ((![X0 : $i]: ~ (zip_tseitin_60 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl297])).
7.98/1.79	thf('216', plain,
7.98/1.79	    (( (q1 @ sk__17)) | ~ (![X0 : $i]: ~ (zip_tseitin_60 @ X0)) | 
7.98/1.79	     ~ (![X0 : $i]:  (zip_tseitin_58 @ X0))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl666])).
7.98/1.79	thf('217', plain,
7.98/1.79	    (~ (![X0 : $i, X1 : $i]:  (zip_tseitin_19 @ X0 @ X1)) | 
7.98/1.79	     ( (zip_tseitin_19 @ sk__57 @ sk__56))),
7.98/1.79	    inference('s_sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl394])).
7.98/1.79	thf('218', plain,
7.98/1.79	    ((![X2 : $i]:  (q1 @ (f @ X2))) | 
7.98/1.79	     (![X0 : $i, X1 : $i]:  (zip_tseitin_19 @ X0 @ X1))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl35])).
7.98/1.79	thf('219', plain, ((![X2 : $i]:  (q1 @ (f @ X2)))),
7.98/1.79	    inference('sat_resolution*', [status(thm)],
7.98/1.79	              ['0', '1', '2', '3', '4', '160', '161', '162', '163', '164', 
7.98/1.79	               '165', '166', '167', '168', '169', '170', '171', '172', 
7.98/1.79	               '173', '174', '175', '176', '177', '178', '179', '180', 
7.98/1.79	               '181', '182', '183', '184', '185', '186', '187', '188', 
7.98/1.79	               '189', '5', '6', '7', '8', '9', '10', '11', '12', '13', '14', 
7.98/1.79	               '15', '16', '190', '191', '19', '20', '192', '22', '23', 
7.98/1.79	               '24', '25', '26', '27', '28', '193', '30', '194', '32', 
7.98/1.79	               '195', '196', '35', '197', '198', '199', '41', '200', '43', 
7.98/1.79	               '44', '45', '46', '47', '48', '49', '201', '51', '52', '53', 
7.98/1.79	               '202', '55', '56', '57', '58', '59', '203', '61', '62', 
7.98/1.79	               '204', '64', '205', '66', '67', '206', '207', '70', '71', 
7.98/1.79	               '72', '73', '208', '209', '76', '210', '78', '79', '80', 
7.98/1.79	               '81', '82', '83', '84', '85', '86', '87', '88', '89', '90', 
7.98/1.79	               '91', '92', '93', '94', '95', '96', '97', '98', '99', '100', 
7.98/1.79	               '211', '102', '103', '104', '105', '106', '107', '108', 
7.98/1.79	               '109', '110', '111', '112', '113', '114', '115', '116', 
7.98/1.79	               '117', '118', '119', '120', '121', '122', '123', '124', 
7.98/1.79	               '125', '126', '127', '128', '129', '130', '131', '212', 
7.98/1.79	               '133', '134', '135', '136', '137', '138', '139', '140', 
7.98/1.79	               '141', '142', '143', '144', '145', '146', '147', '148', 
7.98/1.79	               '149', '150', '151', '152', '213', '154', '155', '156', 
7.98/1.79	               '214', '215', '216', '217', '218'])).
7.98/1.79	thf('220', plain,
7.98/1.79	    ((![X1 : $i]: ( (r1 @ X1) |  (p1 @ (f @ X1)))) | 
7.98/1.79	     ~
7.98/1.79	     (![X2 : $i, X3 : $i]:
7.98/1.79	        ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))) | 
7.98/1.79	     (![X0 : $i]: ~ (q1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1672])).
7.98/1.79	thf('221', plain, ((![X1 : $i]: ( (r1 @ X1) |  (p1 @ (f @ X1))))),
7.98/1.79	    inference('sat_resolution*', [status(thm)],
7.98/1.79	              ['0', '1', '2', '3', '4', '160', '161', '162', '163', '164', 
7.98/1.79	               '165', '166', '167', '168', '169', '170', '171', '172', 
7.98/1.79	               '173', '174', '175', '176', '177', '178', '179', '180', 
7.98/1.79	               '181', '182', '183', '184', '185', '186', '187', '188', 
7.98/1.79	               '189', '5', '6', '7', '8', '9', '10', '11', '12', '13', '14', 
7.98/1.79	               '15', '16', '190', '191', '19', '20', '192', '22', '23', 
7.98/1.79	               '24', '25', '26', '27', '28', '193', '30', '194', '32', 
7.98/1.79	               '195', '196', '197', '198', '199', '218', '41', '200', '43', 
7.98/1.79	               '44', '45', '46', '47', '48', '49', '201', '51', '52', '53', 
7.98/1.79	               '202', '55', '56', '57', '58', '59', '203', '61', '62', 
7.98/1.79	               '204', '64', '205', '66', '67', '206', '207', '70', '71', 
7.98/1.79	               '72', '73', '208', '209', '76', '210', '78', '79', '80', 
7.98/1.79	               '81', '82', '83', '84', '85', '86', '87', '88', '89', '90', 
7.98/1.79	               '91', '92', '93', '94', '95', '96', '97', '98', '99', '100', 
7.98/1.79	               '211', '102', '103', '104', '105', '106', '107', '108', 
7.98/1.79	               '109', '110', '111', '112', '113', '114', '115', '116', 
7.98/1.79	               '117', '118', '119', '120', '121', '122', '123', '124', 
7.98/1.79	               '125', '126', '127', '128', '129', '130', '131', '212', 
7.98/1.79	               '133', '134', '135', '136', '137', '138', '139', '140', 
7.98/1.79	               '141', '142', '143', '144', '145', '146', '147', '148', 
7.98/1.79	               '149', '150', '151', '152', '213', '154', '155', '156', 
7.98/1.79	               '214', '215', '216', '217', '35', '220'])).
7.98/1.79	thf(zip_derived_cl3030, plain,
7.98/1.79	    ((![X0 : $i]:  (r1 @ X0)) <= ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
7.98/1.79	    inference('simpl_trail', [status(thm)],
7.98/1.79	              [zip_derived_cl1939, '219', '221'])).
7.98/1.79	thf(zip_derived_cl2024, plain, ((~ (r1 @ sk__57)) <= (~ ( (r1 @ sk__57)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1755])).
7.98/1.79	thf('222', plain,
7.98/1.79	    (( (r1 @ sk__57)) | ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl3030, zip_derived_cl2024])).
7.98/1.79	thf(zip_derived_cl3030, plain,
7.98/1.79	    ((![X0 : $i]:  (r1 @ X0)) <= ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
7.98/1.79	    inference('simpl_trail', [status(thm)],
7.98/1.79	              [zip_derived_cl1939, '219', '221'])).
7.98/1.79	thf(zip_derived_cl2023, plain, ((~ (r1 @ sk__56)) <= (~ ( (r1 @ sk__56)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1755])).
7.98/1.79	thf('223', plain,
7.98/1.79	    (( (r1 @ sk__56)) | ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
7.98/1.79	    inference('s_sup-', [status(thm)],
7.98/1.79	              [zip_derived_cl3030, zip_derived_cl2023])).
7.98/1.79	thf('224', plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]:  (zip_tseitin_72 @ X0 @ X1)) | 
7.98/1.79	     (![X1 : $i]:  (r1 @ X1)) | 
7.98/1.79	     ~
7.98/1.79	     (![X0 : $i, X1 : $i, X3 : $i]:
7.98/1.79	        (~ (zip_tseitin_17 @ X3 @ X1 @ X0) |  (zip_tseitin_72 @ X1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1790])).
7.98/1.79	thf('225', plain,
7.98/1.79	    (~ (![X0 : $i]:  (p1 @ X0)) | 
7.98/1.79	     ~ (![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))) | 
7.98/1.79	     ~ (![X2 : $i]:  (q1 @ (f @ X2)))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1727, zip_derived_cl215])).
7.98/1.79	thf('226', plain,
7.98/1.79	    (( (r1 @ sk__17)) | ~ ( (zip_tseitin_57 @ sk__17)) | ~ ( (q1 @ sk__17))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl725])).
7.98/1.79	thf('227', plain,
7.98/1.79	    ((![X1 : $i]:  (r1 @ X1)) | (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) | 
7.98/1.79	     ~
7.98/1.79	     (![X2 : $i, X3 : $i]:
7.98/1.79	        ( (r1 @ X2) | ~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1671])).
7.98/1.79	thf('228', plain,
7.98/1.79	    (~
7.98/1.79	     (![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_19 @ X1 @ X0))) | 
7.98/1.79	     ~ ( (r1 @ sk__57)) | ( (zip_tseitin_19 @ sk__57 @ sk__56)) | 
7.98/1.79	     ~ ( (r1 @ sk__56))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1755])).
7.98/1.79	thf('229', plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))) | 
7.98/1.79	     (![X0 : $i, X1 : $i]:
7.98/1.79	        (~ (r1 @ X1) | ~ (r1 @ X0) |  (zip_tseitin_19 @ X1 @ X0)))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1446])).
7.98/1.79	thf(zip_derived_cl1719, plain,
7.98/1.79	    ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3)))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1446])).
7.98/1.79	thf(zip_derived_cl29, plain,
7.98/1.79	    (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) |  (p1 @ (f @ X0)))),
7.98/1.79	    inference('cnf', [status(esa)], [zf_stmt_3])).
7.98/1.79	thf(zip_derived_cl1722, plain,
7.98/1.79	    ((![X0 : $i, X1 : $i]: (~ (q1 @ X0) |  (p1 @ (f @ X1))))
7.98/1.79	       <= ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('s_sup+', [status(thm)], [zip_derived_cl1719, zip_derived_cl29])).
7.98/1.79	thf('230', plain,
7.98/1.79	    ((![X3 : $i]:  (p1 @ (f @ X3))) | 
7.98/1.79	     ~ (![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))) | 
7.98/1.79	     (![X0 : $i]: ~ (q1 @ X0))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1722])).
7.98/1.79	thf(zip_derived_cl1727, plain,
7.98/1.79	    ((![X0 : $i]: ~ (p1 @ (f @ X0)))
7.98/1.79	       <= ((![X2 : $i]:  (q1 @ (f @ X2))) & 
7.98/1.79	           (![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1721, zip_derived_cl247])).
7.98/1.79	thf(zip_derived_cl1525, plain,
7.98/1.79	    ((![X3 : $i]:  (p1 @ (f @ X3))) <= ((![X3 : $i]:  (p1 @ (f @ X3))))),
7.98/1.79	    inference('split', [status(esa)], [zip_derived_cl1495])).
7.98/1.79	thf(zip_derived_cl1954, plain,
7.98/1.79	    (($false)
7.98/1.79	       <= ((![X2 : $i]:  (q1 @ (f @ X2))) & 
7.98/1.79	           (![X3 : $i]:  (p1 @ (f @ X3))) & 
7.98/1.79	           (![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3))))),
7.98/1.79	    inference('s_sup+', [status(thm)],
7.98/1.79	              [zip_derived_cl1727, zip_derived_cl1525])).
7.98/1.79	thf('231', plain, ((![X2 : $i]:  (q1 @ (f @ X2)))),
7.98/1.79	    inference('sat_resolution*', [status(thm)],
7.98/1.79	              ['0', '1', '2', '3', '4', '160', '161', '162', '163', '164', 
7.98/1.79	               '165', '166', '167', '168', '169', '170', '171', '172', 
7.98/1.79	               '173', '174', '175', '176', '177', '178', '179', '180', 
7.98/1.79	               '181', '182', '183', '184', '185', '186', '187', '188', 
7.98/1.79	               '189', '5', '6', '7', '8', '9', '10', '11', '12', '13', '14', 
7.98/1.79	               '15', '16', '190', '191', '19', '20', '192', '22', '23', 
7.98/1.79	               '24', '25', '26', '27', '28', '193', '30', '194', '32', 
7.98/1.79	               '195', '196', '35', '197', '198', '199', '41', '200', '43', 
7.98/1.79	               '44', '45', '46', '47', '48', '49', '201', '51', '52', '53', 
7.98/1.79	               '202', '55', '56', '57', '58', '59', '203', '61', '62', 
7.98/1.79	               '204', '64', '205', '66', '67', '206', '207', '70', '71', 
7.98/1.79	               '72', '73', '208', '209', '76', '210', '78', '79', '80', 
7.98/1.79	               '81', '82', '83', '84', '85', '86', '87', '88', '89', '90', 
7.98/1.79	               '91', '92', '93', '94', '95', '96', '97', '98', '99', '100', 
7.98/1.79	               '211', '102', '103', '104', '105', '106', '107', '108', 
7.98/1.79	               '109', '110', '111', '112', '113', '114', '115', '116', 
7.98/1.79	               '117', '118', '119', '120', '121', '122', '123', '124', 
7.98/1.79	               '125', '126', '127', '128', '129', '130', '131', '212', 
7.98/1.79	               '133', '134', '135', '136', '137', '138', '139', '140', 
7.98/1.79	               '141', '142', '143', '144', '145', '146', '147', '148', 
7.98/1.79	               '149', '150', '151', '152', '213', '154', '155', '156', 
7.98/1.79	               '214', '215', '216', '217', '218'])).
7.98/1.79	thf('232', plain,
7.98/1.79	    (~ (![X3 : $i]:  (p1 @ (f @ X3))) | 
7.98/1.79	     ~ (![X2 : $i, X3 : $i]: (~ (zip_tseitin_15 @ X2 @ X3) | ~ (q1 @ X3)))),
7.98/1.79	    inference('simpl_trail', [status(thm)], [zip_derived_cl1954, '231'])).
7.98/1.79	thf(zip_derived_cl3190, plain, ($false),
7.98/1.79	    inference('sat_resolution*', [status(thm)],
7.98/1.79	              ['222', '223', '0', '1', '2', '3', '4', '160', '161', '162', 
7.98/1.79	               '163', '164', '165', '166', '167', '168', '169', '170', 
7.98/1.79	               '171', '172', '173', '174', '175', '176', '177', '178', 
7.98/1.79	               '179', '180', '181', '182', '183', '184', '185', '186', 
7.98/1.79	               '187', '188', '189', '5', '6', '7', '8', '9', '10', '11', 
7.98/1.79	               '12', '13', '14', '15', '16', '190', '18', '19', '20', '192', 
7.98/1.79	               '22', '23', '24', '25', '26', '224', '28', '193', '30', 
7.98/1.79	               '194', '225', '199', '200', '43', '44', '45', '46', '47', 
7.98/1.79	               '48', '49', '201', '51', '52', '53', '202', '55', '56', '57', 
7.98/1.79	               '58', '59', '203', '61', '62', '204', '64', '205', '66', 
7.98/1.79	               '67', '206', '207', '70', '71', '72', '73', '74', '209', 
7.98/1.79	               '76', '226', '78', '79', '80', '81', '82', '83', '84', '85', 
7.98/1.79	               '86', '87', '88', '89', '90', '91', '92', '93', '94', '95', 
7.98/1.79	               '96', '97', '98', '99', '100', '101', '102', '103', '104', 
7.98/1.79	               '105', '106', '107', '108', '109', '110', '111', '112', 
7.98/1.79	               '113', '114', '115', '116', '117', '118', '119', '120', 
7.98/1.79	               '121', '122', '123', '124', '125', '126', '127', '128', 
7.98/1.79	               '129', '130', '131', '212', '133', '134', '135', '136', 
7.98/1.79	               '137', '138', '139', '140', '141', '142', '143', '144', 
7.98/1.79	               '145', '146', '147', '148', '149', '150', '151', '152', 
7.98/1.79	               '213', '154', '155', '156', '214', '215', '216', '218', '32', 
7.98/1.79	               '33', '227', '35', '217', '228', '229', '230', '232'])).
7.98/1.79	
7.98/1.79	% SZS output end Refutation
7.98/1.79	
7.98/1.79	
7.98/1.79	% /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 39s
7.98/1.79	% Terminating...
8.79/1.90	% Runner terminated.
8.79/1.91	% Zipperpin 1.5 exiting
8.79/1.92	EOF