%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN938+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UU35UbMbXY true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:06:01 PM UTC 2025
% Result : Theorem 5.26s 1.29s
% Output : Refutation 5.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SYN938+1 : TPTP v9.2.0. Released v3.1.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UU35UbMbXY true
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 13:37:38 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.47/0.55 % Total configuration time : 435
% 0.47/0.55 % Estimated wc time : 1092
% 0.47/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.62 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.26/1.29 % Solved by fo/fo1_av.sh.
% 5.26/1.29 % done 2270 iterations in 0.558s
% 5.26/1.29 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.26/1.29 % SZS output start Refutation
% 5.26/1.29 thf(zip_tseitin_22_type, type, zip_tseitin_22: $o).
% 5.26/1.29 thf(sk__30_type, type, sk__30: $i).
% 5.26/1.29 thf(zip_tseitin_14_type, type, zip_tseitin_14: $i > $i > $o).
% 5.26/1.29 thf(sk__38_type, type, sk__38: $i).
% 5.26/1.29 thf(zip_tseitin_62_type, type, zip_tseitin_62: $i > $i > $o).
% 5.26/1.29 thf(sk__43_type, type, sk__43: $i).
% 5.26/1.29 thf(zip_tseitin_102_type, type, zip_tseitin_102: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_11_type, type, zip_tseitin_11: $o).
% 5.26/1.29 thf(zip_tseitin_59_type, type, zip_tseitin_59: $o).
% 5.26/1.29 thf(zip_tseitin_73_type, type, zip_tseitin_73: $o).
% 5.26/1.29 thf(zip_tseitin_25_type, type, zip_tseitin_25: $i > $i > $o).
% 5.26/1.29 thf(b0_type, type, b0: $o).
% 5.26/1.29 thf(sk__49_type, type, sk__49: $i).
% 5.26/1.29 thf(zip_tseitin_80_type, type, zip_tseitin_80: $i > $o).
% 5.26/1.29 thf(g_type, type, g: $i > $o).
% 5.26/1.29 thf(sk__45_type, type, sk__45: $i).
% 5.26/1.29 thf(sk__7_type, type, sk__7: $i).
% 5.26/1.29 thf(zip_tseitin_24_type, type, zip_tseitin_24: $o).
% 5.26/1.29 thf(zip_tseitin_87_type, type, zip_tseitin_87: $i > $i > $i > $i > $o).
% 5.26/1.29 thf(sk__2_type, type, sk__2: $i).
% 5.26/1.29 thf(zip_tseitin_49_type, type, zip_tseitin_49: $o).
% 5.26/1.29 thf(zip_tseitin_70_type, type, zip_tseitin_70: $i > $o).
% 5.26/1.29 thf(sk__6_type, type, sk__6: $i).
% 5.26/1.29 thf(sk__34_type, type, sk__34: $i).
% 5.26/1.29 thf(zip_tseitin_29_type, type, zip_tseitin_29: $i > $i > $i > $o).
% 5.26/1.29 thf(sk__42_type, type, sk__42: $i).
% 5.26/1.29 thf(sk__46_type, type, sk__46: $i).
% 5.26/1.29 thf(sk__12_type, type, sk__12: $i).
% 5.26/1.29 thf(zip_tseitin_47_type, type, zip_tseitin_47: $o).
% 5.26/1.29 thf(sk__48_type, type, sk__48: $i).
% 5.26/1.29 thf(sk__26_type, type, sk__26: $i).
% 5.26/1.29 thf(zip_tseitin_72_type, type, zip_tseitin_72: $o).
% 5.26/1.29 thf(sk__35_type, type, sk__35: $i > $i).
% 5.26/1.29 thf(z_type, type, z: $i).
% 5.26/1.29 thf(eq_type, type, eq: $i > $i > $o).
% 5.26/1.29 thf(f_type, type, f: $i > $i).
% 5.26/1.29 thf(a0_type, type, a0: $o).
% 5.26/1.29 thf(zip_tseitin_27_type, type, zip_tseitin_27: $i > $i > $i > $o).
% 5.26/1.29 thf(q1_type, type, q1: $i > $o).
% 5.26/1.29 thf(sk__55_type, type, sk__55: $i).
% 5.26/1.29 thf(zip_tseitin_55_type, type, zip_tseitin_55: $i > $o).
% 5.26/1.29 thf(sk__36_type, type, sk__36: $i).
% 5.26/1.29 thf(sk__57_type, type, sk__57: $i).
% 5.26/1.29 thf(sk__41_type, type, sk__41: $i).
% 5.26/1.29 thf(zip_tseitin_53_type, type, zip_tseitin_53: $i > $o).
% 5.26/1.29 thf(zip_tseitin_54_type, type, zip_tseitin_54: $o).
% 5.26/1.29 thf(sk__50_type, type, sk__50: $i).
% 5.26/1.29 thf(sk__28_type, type, sk__28: $i).
% 5.26/1.29 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_60_type, type, zip_tseitin_60: $i > $o).
% 5.26/1.29 thf(zip_tseitin_97_type, type, zip_tseitin_97: $o).
% 5.26/1.29 thf(zip_tseitin_84_type, type, zip_tseitin_84: $i > $o).
% 5.26/1.29 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 5.26/1.29 thf(b_type, type, b: $i > $o).
% 5.26/1.29 thf(zip_tseitin_36_type, type, zip_tseitin_36: $o).
% 5.26/1.29 thf(zip_tseitin_101_type, type, zip_tseitin_101: $o).
% 5.26/1.29 thf(sk__33_type, type, sk__33: $i).
% 5.26/1.29 thf(zip_tseitin_88_type, type, zip_tseitin_88: $i > $o).
% 5.26/1.29 thf(sk__4_type, type, sk__4: $i).
% 5.26/1.29 thf(zip_tseitin_61_type, type, zip_tseitin_61: $o).
% 5.26/1.29 thf(zip_tseitin_77_type, type, zip_tseitin_77: $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $i > $i > $o).
% 5.26/1.29 thf(p1_type, type, p1: $i > $o).
% 5.26/1.29 thf(q_type, type, q: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_48_type, type, zip_tseitin_48: $i > $i > $o).
% 5.26/1.29 thf(sk__18_type, type, sk__18: $i > $i).
% 5.26/1.29 thf(sk__39_type, type, sk__39: $i).
% 5.26/1.29 thf(zip_tseitin_93_type, type, zip_tseitin_93: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_35_type, type, zip_tseitin_35: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_21_type, type, zip_tseitin_21: $o).
% 5.26/1.29 thf(zip_tseitin_19_type, type, zip_tseitin_19: $o).
% 5.26/1.29 thf(zip_tseitin_98_type, type, zip_tseitin_98: $i > $i > $o).
% 5.26/1.29 thf(a_type, type, a: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_12_type, type, zip_tseitin_12: $o).
% 5.26/1.29 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 5.26/1.29 thf(sk__24_type, type, sk__24: $i > $i).
% 5.26/1.29 thf(zip_tseitin_44_type, type, zip_tseitin_44: $i > $i > $o).
% 5.26/1.29 thf(r1_type, type, r1: $i > $o).
% 5.26/1.29 thf(zip_tseitin_8_type, type, zip_tseitin_8: $o).
% 5.26/1.29 thf(zip_tseitin_20_type, type, zip_tseitin_20: $o).
% 5.26/1.29 thf(zip_tseitin_7_type, type, zip_tseitin_7: $o).
% 5.26/1.29 thf(zip_tseitin_17_type, type, zip_tseitin_17: $i > $i > $o).
% 5.26/1.29 thf(sk__29_type, type, sk__29: $i).
% 5.26/1.29 thf(sk__9_type, type, sk__9: $i > $i).
% 5.26/1.29 thf(zip_tseitin_56_type, type, zip_tseitin_56: $o).
% 5.26/1.29 thf(zip_tseitin_75_type, type, zip_tseitin_75: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_81_type, type, zip_tseitin_81: $i > $o).
% 5.26/1.29 thf(zip_tseitin_31_type, type, zip_tseitin_31: $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_76_type, type, zip_tseitin_76: $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_38_type, type, zip_tseitin_38: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_89_type, type, zip_tseitin_89: $i > $o).
% 5.26/1.29 thf(zip_tseitin_82_type, type, zip_tseitin_82: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_40_type, type, zip_tseitin_40: $o).
% 5.26/1.29 thf(sk__22_type, type, sk__22: $i).
% 5.26/1.29 thf(g0_type, type, g0: $o).
% 5.26/1.29 thf(zip_tseitin_90_type, type, zip_tseitin_90: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_63_type, type, zip_tseitin_63: $i > $i > $o).
% 5.26/1.29 thf(sk__19_type, type, sk__19: $i).
% 5.26/1.29 thf(sk__20_type, type, sk__20: $i > $i > $i).
% 5.26/1.29 thf(zip_tseitin_9_type, type, zip_tseitin_9: $o).
% 5.26/1.29 thf(sk__type, type, sk_: $i).
% 5.26/1.29 thf(zip_tseitin_69_type, type, zip_tseitin_69: $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_32_type, type, zip_tseitin_32: $i > $i > $i > $i > $o).
% 5.26/1.29 thf(sk__58_type, type, sk__58: $i).
% 5.26/1.29 thf(r_type, type, r: $i > $i > $o).
% 5.26/1.29 thf(c_type, type, c: $i > $o).
% 5.26/1.29 thf(sk__31_type, type, sk__31: $i).
% 5.26/1.29 thf(sk__32_type, type, sk__32: $i).
% 5.26/1.29 thf(zip_tseitin_86_type, type, zip_tseitin_86: $i > $o).
% 5.26/1.29 thf(sk__60_type, type, sk__60: $i).
% 5.26/1.29 thf(s1_type, type, s1: $i > $o).
% 5.26/1.29 thf(zip_tseitin_10_type, type, zip_tseitin_10: $i > $o).
% 5.26/1.29 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_57_type, type, zip_tseitin_57: $o).
% 5.26/1.29 thf(p_type, type, p: $i > $i > $o).
% 5.26/1.29 thf(sk__59_type, type, sk__59: $i).
% 5.26/1.29 thf(sk__44_type, type, sk__44: $i).
% 5.26/1.29 thf(zip_tseitin_85_type, type, zip_tseitin_85: $i > $o).
% 5.26/1.29 thf(zip_tseitin_39_type, type, zip_tseitin_39: $i > $o).
% 5.26/1.29 thf(zip_tseitin_66_type, type, zip_tseitin_66: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_68_type, type, zip_tseitin_68: $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_78_type, type, zip_tseitin_78: $i > $o).
% 5.26/1.29 thf(zip_tseitin_30_type, type, zip_tseitin_30: $o).
% 5.26/1.29 thf(zip_tseitin_95_type, type, zip_tseitin_95: $o).
% 5.26/1.29 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 5.26/1.29 thf(e_type, type, e: $i > $o).
% 5.26/1.29 thf(zip_tseitin_96_type, type, zip_tseitin_96: $o).
% 5.26/1.29 thf(zip_tseitin_45_type, type, zip_tseitin_45: $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_91_type, type, zip_tseitin_91: $i > $i > $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_13_type, type, zip_tseitin_13: $i > $o).
% 5.26/1.29 thf(zip_tseitin_43_type, type, zip_tseitin_43: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_50_type, type, zip_tseitin_50: $i > $o).
% 5.26/1.29 thf(zip_tseitin_83_type, type, zip_tseitin_83: $i > $o).
% 5.26/1.29 thf(zip_tseitin_18_type, type, zip_tseitin_18: $i > $o).
% 5.26/1.29 thf(sk__16_type, type, sk__16: $i).
% 5.26/1.29 thf(sk__15_type, type, sk__15: $i).
% 5.26/1.29 thf(sk__5_type, type, sk__5: $i).
% 5.26/1.29 thf(sk__1_type, type, sk__1: $i).
% 5.26/1.29 thf(a1_type, type, a1: $i > $o).
% 5.26/1.29 thf(zip_tseitin_71_type, type, zip_tseitin_71: $i > $o).
% 5.26/1.29 thf(zip_tseitin_52_type, type, zip_tseitin_52: $o).
% 5.26/1.29 thf(sk__40_type, type, sk__40: $i).
% 5.26/1.29 thf(s_type, type, s: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_100_type, type, zip_tseitin_100: $o).
% 5.26/1.29 thf(sk__17_type, type, sk__17: $i > $i).
% 5.26/1.29 thf(sk__56_type, type, sk__56: $i).
% 5.26/1.29 thf(sk__25_type, type, sk__25: $i).
% 5.26/1.29 thf(sk__21_type, type, sk__21: $i).
% 5.26/1.29 thf(zip_tseitin_64_type, type, zip_tseitin_64: $o).
% 5.26/1.29 thf(sk__8_type, type, sk__8: $i).
% 5.26/1.29 thf(zip_tseitin_65_type, type, zip_tseitin_65: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_94_type, type, zip_tseitin_94: $i > $i > $o).
% 5.26/1.29 thf(sk__47_type, type, sk__47: $i).
% 5.26/1.29 thf(zip_tseitin_15_type, type, zip_tseitin_15: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_99_type, type, zip_tseitin_99: $o).
% 5.26/1.29 thf(sk__27_type, type, sk__27: $i).
% 5.26/1.29 thf(zip_tseitin_26_type, type, zip_tseitin_26: $i > $o).
% 5.26/1.29 thf(zip_tseitin_67_type, type, zip_tseitin_67: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_46_type, type, zip_tseitin_46: $i > $i > $i > $i > $o).
% 5.26/1.29 thf(a_member_of_type, type, a_member_of: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_37_type, type, zip_tseitin_37: $o).
% 5.26/1.29 thf(sk__37_type, type, sk__37: $i).
% 5.26/1.29 thf(sk__51_type, type, sk__51: $i > $i).
% 5.26/1.29 thf(f0_type, type, f0: $o).
% 5.26/1.29 thf(sk__11_type, type, sk__11: $i).
% 5.26/1.29 thf(zip_tseitin_51_type, type, zip_tseitin_51: $i > $o).
% 5.26/1.29 thf(sk__53_type, type, sk__53: $i).
% 5.26/1.29 thf(sk__14_type, type, sk__14: $i).
% 5.26/1.29 thf(q0_type, type, q0: $o).
% 5.26/1.29 thf(zip_tseitin_23_type, type, zip_tseitin_23: $o).
% 5.26/1.29 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 5.26/1.29 thf(sk__10_type, type, sk__10: $i).
% 5.26/1.29 thf(zip_tseitin_34_type, type, zip_tseitin_34: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_92_type, type, zip_tseitin_92: $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_41_type, type, zip_tseitin_41: $i > $o).
% 5.26/1.29 thf(zip_tseitin_103_type, type, zip_tseitin_103: $o).
% 5.26/1.29 thf(zip_tseitin_42_type, type, zip_tseitin_42: $i > $i > $i > $o).
% 5.26/1.29 thf(sk__13_type, type, sk__13: $i).
% 5.26/1.29 thf(zip_tseitin_58_type, type, zip_tseitin_58: $i > $o).
% 5.26/1.29 thf(zip_tseitin_33_type, type, zip_tseitin_33: $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_74_type, type, zip_tseitin_74: $i > $i > $o).
% 5.26/1.29 thf(zip_tseitin_79_type, type, zip_tseitin_79: $i > $o).
% 5.26/1.29 thf(sk__3_type, type, sk__3: $i).
% 5.26/1.29 thf(sk__52_type, type, sk__52: $i).
% 5.26/1.29 thf(zip_tseitin_28_type, type, zip_tseitin_28: $i > $i > $o).
% 5.26/1.29 thf(sk__54_type, type, sk__54: $i).
% 5.26/1.29 thf(prove_this, conjecture,
% 5.26/1.29 (( ( ( ?[Y:$i]: ( ( q1 @ Y ) => ( r1 @ Y ) ) ) &
% 5.26/1.29 ( ![X:$i]: ( ( p1 @ X ) => ( q1 @ X ) ) ) ) =>
% 5.26/1.29 ( ?[Z:$i]: ( ( p1 @ Z ) => ( r1 @ Z ) ) ) ) &
% 5.26/1.29 ( ![B:$i]:
% 5.26/1.29 ( ( ![Y:$i]: ( ( ( r1 @ B ) => ( r1 @ Y ) ) => ( p @ ( f @ Y ) @ Y ) ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]:
% 5.26/1.29 ( ( p @ X @ Y ) & ( ( q @ ( f @ B ) @ B ) => ( q @ X @ Y ) ) ) ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]:
% 5.26/1.29 ( ?[X:$i,Y:$i]:
% 5.26/1.29 ( ( ( s1 @ A ) & ( ( s1 @ A ) => ( p @ X @ Y ) ) & ( r1 @ B ) &
% 5.26/1.29 ( r1 @ A ) & ( ( r1 @ Y ) => ( p @ B @ Y ) ) & ( q1 @ B ) &
% 5.26/1.29 ( q1 @ A ) & ( ( q1 @ X ) => ( p @ X @ A ) ) ) =>
% 5.26/1.29 ( p @ A @ B ) ) ) ) &
% 5.26/1.29 ( ( ( b0 ) & ( a0 ) ) => ( ( a0 ) <=> ( b0 ) ) ) &
% 5.26/1.29 ( ( ( a0 ) <=> ( b0 ) ) | ( a0 ) | ( b0 ) ) &
% 5.26/1.29 ( ![A:$i]:
% 5.26/1.29 ( ( ( ![X:$i]: ( ( p1 @ X ) & ( q1 @ X ) ) ) & ( ( g0 ) | ( f0 ) ) ) =>
% 5.26/1.29 ( q1 @ A ) ) ) &
% 5.26/1.29 ( ( ![X:$i,Y:$i]: ( p @ X @ Y ) ) => ( ![X:$i]: ( p @ X @ X ) ) ) &
% 5.26/1.29 ( ( ?[X:$i]: ( p1 @ X ) ) => ( ?[Y:$i]: ( p1 @ Y ) ) ) &
% 5.26/1.29 ( ( p1 @ z ) => ( p1 @ z ) ) &
% 5.26/1.29 ( ( ?[X:$i]: ( ![Y:$i]: ( p @ X @ Y ) ) ) =>
% 5.26/1.29 ( ![Y:$i]: ( ?[X:$i]: ( p @ X @ Y ) ) ) ) &
% 5.26/1.29 ( ?[Y:$i]: ( ( ?[X:$i]: ( p1 @ X ) ) => ( p1 @ Y ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]:
% 5.26/1.29 ( ?[X:$i,Y:$i]:
% 5.26/1.29 ( ( ( p1 @ X ) => ( r1 @ Y ) ) => ( ( p1 @ A ) => ( r1 @ B ) ) ) ) ) &
% 5.26/1.29 ( ![B:$i]:
% 5.26/1.29 ( ( ( r1 @ B ) & ( ![X:$i]: ( ( p1 @ X ) => ( q1 @ X ) ) ) ) =>
% 5.26/1.29 ( ( ![Y:$i]: ( ( r1 @ Y ) => ( p1 @ Y ) ) ) => ( q1 @ B ) ) ) ) &
% 5.26/1.29 ( ?[X:$i]: ( ![Y:$i]: ( ( p1 @ X ) => ( p1 @ Y ) ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]:
% 5.26/1.29 ( ( ![Y:$i]: ( ( q1 @ Y ) => ( p1 @ Y ) ) ) =>
% 5.26/1.29 ( ?[X:$i]:
% 5.26/1.29 ( ( ( p1 @ X ) => ( p1 @ A ) ) & ( ( q1 @ X ) => ( p1 @ B ) ) ) ) ) ) &
% 5.26/1.29 ( ( ![X:$i,Y:$i]:
% 5.26/1.29 ( ( eq @ X @ Y ) <=>
% 5.26/1.29 ( ![Z:$i]: ( ( a_member_of @ Z @ X ) <=> ( a_member_of @ Z @ Y ) ) ) ) ) =>
% 5.26/1.29 ( ![A:$i,B:$i]: ( ( eq @ A @ B ) => ( eq @ B @ A ) ) ) ) &
% 5.26/1.29 ( ?[Z:$i]:
% 5.26/1.29 ( ![X:$i]:
% 5.26/1.29 ( ?[Y:$i]:
% 5.26/1.29 ( ( ( p @ Y @ X ) => ( ?[W:$i]: ( p @ W @ Y ) ) ) &
% 5.26/1.29 ( ( ( p @ Y @ Z ) & ( p @ Z @ Y ) ) => ( p @ Y @ X ) ) ) ) ) ) &
% 5.26/1.29 ( ( ?[X:$i]: ( p1 @ X ) ) => ( ?[Z:$i]: ( p1 @ Z ) ) ) &
% 5.26/1.29 ( ( ?[X:$i]: ( p1 @ X ) ) <=> ( ?[Y:$i]: ( p1 @ Y ) ) ) &
% 5.26/1.29 ( ( ![X:$i]: ( p1 @ X ) ) =>
% 5.26/1.29 ( ( ![Y:$i]: ( p1 @ Y ) ) & ( ![X:$i]: ( p1 @ X ) ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( ( ![X:$i]: ( p1 @ X ) ) => ( ( p1 @ B ) & ( p1 @ A ) ) ) ) &
% 5.26/1.29 ( ( ?[X:$i,Y:$i]: ( a @ X @ Y ) ) <=> ( ?[Y:$i,X:$i]: ( a @ X @ Y ) ) ) &
% 5.26/1.29 ( ( ?[X:$i]: ( b @ X ) ) => ( ?[X:$i]: ( ( a1 @ X ) | ( b @ X ) ) ) ) &
% 5.26/1.29 ( ( ( ![X:$i]: ( b @ X ) ) & ( ?[X:$i]: ( a1 @ X ) ) ) =>
% 5.26/1.29 ( ?[X:$i]: ( ( a1 @ X ) & ( b @ X ) ) ) ) &
% 5.26/1.29 ( ~( ?[Y:$i]: ( ![X:$i]: ( ( a @ X @ Y ) <=> ( ~( a @ X @ X ) ) ) ) ) ) &
% 5.26/1.29 ( ( ?[X:$i]: ( ( a1 @ X ) => ( b @ X ) ) ) =>
% 5.26/1.29 ( ( ![X:$i]: ( a1 @ X ) ) => ( ?[X:$i]: ( b @ X ) ) ) ) &
% 5.26/1.29 ( ( ![X:$i]: ( ( a1 @ X ) => ( b @ X ) ) ) =>
% 5.26/1.29 ( ( ?[X:$i]: ( a1 @ X ) ) => ( ?[X:$i]: ( b @ X ) ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]:
% 5.26/1.29 ( ( ![Z:$i]: ( ( q1 @ Z ) => ( p1 @ Z ) ) ) =>
% 5.26/1.29 ( ?[X:$i]:
% 5.26/1.29 ( ( ( p1 @ X ) => ( p1 @ A ) ) & ( ( q1 @ X ) => ( p1 @ B ) ) ) ) ) ) &
% 5.26/1.29 ( ( ![X:$i]: ( ( p1 @ X ) => ( q1 @ X ) ) ) =>
% 5.26/1.29 ( ( ![X:$i]: ( p1 @ X ) ) => ( ![X:$i]: ( q1 @ X ) ) ) ) &
% 5.26/1.29 ( ( ![X:$i]: ( p1 @ X ) ) => ( ?[Y:$i]: ( p1 @ Y ) ) ) &
% 5.26/1.29 ( ( ?[X:$i]: ( p1 @ X ) ) =>
% 5.26/1.29 ( ( ( a0 ) => ( ( ( q0 ) => ( q0 ) ) & ( ( ~( b0 ) ) | ( b0 ) ) ) ) &
% 5.26/1.29 ( ?[X:$i]: ( p1 @ X ) ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]:
% 5.26/1.29 ( ( ![Y:$i]: ( ( q1 @ Y ) => ( p1 @ Y ) ) ) =>
% 5.26/1.29 ( ?[X:$i]:
% 5.26/1.29 ( ( ( p1 @ X ) => ( p1 @ A ) ) & ( ( q1 @ X ) => ( p1 @ B ) ) ) ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i,C:$i]:
% 5.26/1.29 ( ( ( ![X:$i,Y:$i]: ( ( r @ X @ Y ) => ( q @ X @ Y ) ) ) &
% 5.26/1.29 ( ![X:$i]: ( ( s1 @ X ) => ( p1 @ X ) ) ) & ( r @ B @ C ) &
% 5.26/1.29 ( s1 @ B ) & ( s1 @ A ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]: ( ( p1 @ X ) & ( q @ X @ Y ) ) ) ) ) &
% 5.26/1.29 ( ( ![X:$i]: ( ?[Y:$i]: ( ( a @ X @ Y ) & ( a @ Y @ Y ) ) ) ) =>
% 5.26/1.29 ( ?[Z:$i]: ( a @ Z @ Z ) ) ) &
% 5.26/1.29 ( ( ![X:$i]: ( ?[Y:$i]: ( ( p1 @ X ) & ( q1 @ Y ) ) ) ) =>
% 5.26/1.29 ( ?[Z:$i]: ( ![Y:$i]: ( ( p1 @ Y ) | ( r1 @ Z ) ) ) ) ) &
% 5.26/1.29 ( ( ( ?[Y:$i]: ( q1 @ Y ) ) & ( ![X:$i]: ( p1 @ X ) ) ) =>
% 5.26/1.29 ( ?[Z:$i]: ( ![Y:$i]: ( ( p1 @ Y ) | ( r1 @ Z ) ) ) ) ) &
% 5.26/1.29 ( ( ![X:$i]: ( p1 @ X ) ) => ( ![A:$i,B:$i]: ( ( p1 @ A ) & ( p1 @ B ) ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i,C:$i]:
% 5.26/1.29 ( ( ( ![X:$i,Y:$i]: ( ( r @ X @ Y ) => ( q @ X @ Y ) ) ) &
% 5.26/1.29 ( ![X:$i]: ( ( s1 @ X ) => ( p1 @ X ) ) ) & ( r @ B @ C ) &
% 5.26/1.29 ( s1 @ B ) & ( s1 @ A ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]: ( ( p1 @ X ) & ( q @ X @ Y ) ) ) ) ) &
% 5.26/1.29 ( ![A:$i]:
% 5.26/1.29 ( ?[X:$i,X2:$i,X3:$i,X4:$i,Y:$i]:
% 5.26/1.29 ( ( ( ( s @ A @ Y ) => ( p1 @ Y ) ) &
% 5.26/1.29 ( ( e @ X2 ) => ( ( c @ ( f @ X2 ) ) | ( g @ X2 ) ) ) &
% 5.26/1.29 ( ( e @ X ) => ( ( s @ X @ ( f @ X ) ) | ( g @ X ) ) ) &
% 5.26/1.29 ( e @ A ) & ( p1 @ A ) ) =>
% 5.26/1.29 ( ( ( c @ X4 ) & ( p1 @ X4 ) ) | ( ( g @ X3 ) & ( p1 @ X3 ) ) ) ) ) ) &
% 5.26/1.29 ( ( ( ~( ![X:$i]: ( ( a1 @ X ) => ( b @ X ) ) ) ) &
% 5.26/1.29 ( ![X:$i]: ( ( a1 @ X ) => ( ( c @ X ) | ( b @ X ) ) ) ) ) =>
% 5.26/1.29 ( ?[X:$i]: ( ( a1 @ X ) & ( c @ X ) ) ) ) &
% 5.26/1.29 ( ![B:$i,C:$i]:
% 5.26/1.29 ( ( q1 @ ( f @ B ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]:
% 5.26/1.29 ( ( ( p1 @ ( f @ Y ) ) =>
% 5.26/1.29 ( ( ( r1 @ Y ) => ( ( r1 @ C ) & ( r1 @ B ) ) ) & ( p1 @ X ) ) ) &
% 5.26/1.29 ( q1 @ X ) ) ) ) ) &
% 5.26/1.29 ( ![B:$i,C:$i]:
% 5.26/1.29 ( ( ![Z:$i]: ( q1 @ ( f @ Z ) ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]:
% 5.26/1.29 ( ( ( p1 @ ( f @ Y ) ) =>
% 5.26/1.29 ( ( ( r1 @ Y ) => ( ( r1 @ C ) & ( r1 @ B ) ) ) & ( p1 @ X ) ) ) &
% 5.26/1.29 ( q1 @ X ) ) ) ) ) &
% 5.26/1.29 ( ![C:$i,B:$i]:
% 5.26/1.29 ( ( ![Z:$i]: ( q1 @ ( f @ Z ) ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]:
% 5.26/1.29 ( ( ( p1 @ ( f @ Y ) ) => ( p1 @ X ) ) &
% 5.26/1.29 ( ( r1 @ Y ) => ( ( r1 @ C ) & ( r1 @ B ) ) ) & ( q1 @ X ) ) ) ) ))).
% 5.26/1.29 thf(zf_stmt_0, axiom,
% 5.26/1.29 (![Y:$i,B:$i,C:$i]:
% 5.26/1.29 ( ( ( r1 @ Y ) => ( zip_tseitin_1 @ B @ C ) ) =>
% 5.26/1.29 ( zip_tseitin_2 @ Y @ B @ C ) ))).
% 5.26/1.29 thf(zip_derived_cl4, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 ( (zip_tseitin_2 @ X0 @ X1 @ X2) | (r1 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.26/1.29 thf(zf_stmt_1, axiom,
% 5.26/1.29 (![B:$i,C:$i]:
% 5.26/1.29 ( ( ( ![Z:$i]: ( q1 @ ( f @ Z ) ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]: ( zip_tseitin_3 @ Y @ X @ B @ C ) ) ) =>
% 5.26/1.29 ( zip_tseitin_4 @ B @ C ) ))).
% 5.26/1.29 thf(zip_derived_cl6, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (zip_tseitin_4 @ X0 @ X1) | ~ (zip_tseitin_3 @ X2 @ X3 @ X0 @ X1))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.26/1.29 thf(zf_stmt_2, axiom,
% 5.26/1.29 (![Y:$i,X:$i,B:$i,C:$i]:
% 5.26/1.29 ( ( ( q1 @ X ) & ( zip_tseitin_2 @ Y @ B @ C ) & ( zip_tseitin_0 @ Y @ X ) ) =>
% 5.26/1.29 ( zip_tseitin_3 @ Y @ X @ B @ C ) ))).
% 5.26/1.29 thf(zip_derived_cl5, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 (~ (zip_tseitin_0 @ X0 @ X1)
% 5.26/1.29 | ~ (q1 @ X1)
% 5.26/1.29 | ~ (zip_tseitin_2 @ X0 @ X2 @ X3)
% 5.26/1.29 | (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.26/1.29 thf(zip_derived_cl408, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (zip_tseitin_4 @ X1 @ X0)
% 5.26/1.29 | ~ (zip_tseitin_0 @ X3 @ X2)
% 5.26/1.29 | ~ (q1 @ X2)
% 5.26/1.29 | ~ (zip_tseitin_2 @ X3 @ X1 @ X0))),
% 5.26/1.29 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 5.26/1.29 thf(zip_derived_cl1223, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (r1 @ X2)
% 5.26/1.29 | (zip_tseitin_4 @ X1 @ X0)
% 5.26/1.29 | ~ (zip_tseitin_0 @ X2 @ X3)
% 5.26/1.29 | ~ (q1 @ X3))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl408])).
% 5.26/1.29 thf(zip_derived_cl1542, plain,
% 5.26/1.29 ((![X2 : $i, X3 : $i]:
% 5.26/1.29 ( (r1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3)))
% 5.26/1.29 <= ((![X2 : $i, X3 : $i]:
% 5.26/1.29 ( (r1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1223])).
% 5.26/1.29 thf(zf_stmt_3, axiom,
% 5.26/1.29 (![Y:$i,X:$i]:
% 5.26/1.29 ( ( ( p1 @ ( f @ Y ) ) => ( p1 @ X ) ) => ( zip_tseitin_0 @ Y @ X ) ))).
% 5.26/1.29 thf(zip_derived_cl1, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | (p1 @ (f @ X0)))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.26/1.29 thf(zip_derived_cl1545, plain,
% 5.26/1.29 ((![X0 : $i, X1 : $i]: (~ (q1 @ X0) | (r1 @ X1) | (p1 @ (f @ X1))))
% 5.26/1.29 <= ((![X2 : $i, X3 : $i]:
% 5.26/1.29 ( (r1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.29 inference('s_sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl1])).
% 5.26/1.29 thf(zip_derived_cl1574, plain,
% 5.26/1.29 ((![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1))))
% 5.26/1.29 <= ((![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1)))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1545])).
% 5.26/1.29 thf(zip_derived_cl1542, plain,
% 5.26/1.29 ((![X2 : $i, X3 : $i]:
% 5.26/1.29 ( (r1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3)))
% 5.26/1.29 <= ((![X2 : $i, X3 : $i]:
% 5.26/1.29 ( (r1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1223])).
% 5.26/1.29 thf(zip_derived_cl0, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (p1 @ X1))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.26/1.29 thf(zip_derived_cl1544, plain,
% 5.26/1.29 ((![X0 : $i, X1 : $i]: (~ (q1 @ X0) | (r1 @ X1) | ~ (p1 @ X0)))
% 5.26/1.29 <= ((![X2 : $i, X3 : $i]:
% 5.26/1.29 ( (r1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.29 inference('s_sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl0])).
% 5.26/1.29 thf(zip_derived_cl1549, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))
% 5.26/1.29 <= ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.29 thf(zip_derived_cl7, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 ( (zip_tseitin_4 @ X0 @ X1) | (q1 @ (f @ X2)))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.26/1.29 thf(zip_derived_cl196, plain,
% 5.26/1.29 ((![X2 : $i]: (q1 @ (f @ X2))) <= ((![X2 : $i]: (q1 @ (f @ X2))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl7])).
% 5.26/1.29 thf(zip_derived_cl1556, plain,
% 5.26/1.29 ((![X0 : $i]: ~ (p1 @ (f @ X0)))
% 5.26/1.29 <= ((![X2 : $i]: (q1 @ (f @ X2))) &
% 5.26/1.29 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1549, zip_derived_cl196])).
% 5.26/1.29 thf(zip_derived_cl1786, plain,
% 5.26/1.29 ((![X0 : $i]: (r1 @ X0))
% 5.26/1.29 <= ((![X2 : $i]: (q1 @ (f @ X2))) &
% 5.26/1.29 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) &
% 5.26/1.29 (![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1)))))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1574, zip_derived_cl1556])).
% 5.26/1.29 thf(zf_stmt_4, axiom,
% 5.26/1.29 (![B:$i,C:$i]: ( ( ( r1 @ B ) & ( r1 @ C ) ) => ( zip_tseitin_1 @ B @ C ) ))).
% 5.26/1.29 thf(zip_derived_cl2, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]:
% 5.26/1.29 (~ (r1 @ X0) | ~ (r1 @ X1) | (zip_tseitin_1 @ X0 @ X1))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.26/1.29 thf(zip_derived_cl3, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 ( (zip_tseitin_2 @ X0 @ X1 @ X2) | ~ (zip_tseitin_1 @ X1 @ X2))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.26/1.29 thf(zip_derived_cl404, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 (~ (r1 @ X0) | ~ (r1 @ X1) | (zip_tseitin_2 @ X2 @ X1 @ X0))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 5.26/1.29 thf(zip_derived_cl408, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (zip_tseitin_4 @ X1 @ X0)
% 5.26/1.29 | ~ (zip_tseitin_0 @ X3 @ X2)
% 5.26/1.29 | ~ (q1 @ X2)
% 5.26/1.29 | ~ (zip_tseitin_2 @ X3 @ X1 @ X0))),
% 5.26/1.29 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 5.26/1.29 thf(zip_derived_cl1224, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 (~ (r1 @ X1)
% 5.26/1.29 | ~ (r1 @ X0)
% 5.26/1.29 | (zip_tseitin_4 @ X1 @ X0)
% 5.26/1.29 | ~ (zip_tseitin_0 @ X2 @ X3)
% 5.26/1.29 | ~ (q1 @ X3))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl408])).
% 5.26/1.29 thf(zip_derived_cl1582, plain,
% 5.26/1.29 ((![X0 : $i, X1 : $i]:
% 5.26/1.29 (~ (r1 @ X0) | ~ (r1 @ X1) | (zip_tseitin_4 @ X1 @ X0)))
% 5.26/1.29 <= ((![X0 : $i, X1 : $i]:
% 5.26/1.29 (~ (r1 @ X0) | ~ (r1 @ X1) | (zip_tseitin_4 @ X1 @ X0))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1224])).
% 5.26/1.29 thf(zf_stmt_5, type, zip_tseitin_103 : $o).
% 5.26/1.29 thf(zf_stmt_6, axiom,
% 5.26/1.29 (( ( ?[X:$i]: ( p1 @ X ) ) <=> ( ?[Y:$i]: ( p1 @ Y ) ) ) =>
% 5.26/1.29 ( zip_tseitin_103 ))).
% 5.26/1.29 thf(zf_stmt_7, type, zip_tseitin_102 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_8, axiom,
% 5.26/1.29 (![X:$i,Y:$i]:
% 5.26/1.29 ( ( zip_tseitin_102 @ X @ Y ) => ( ( a @ X @ Y ) <=> ( ~( a @ X @ X ) ) ) ))).
% 5.26/1.29 thf(zf_stmt_9, type, zip_tseitin_101 : $o).
% 5.26/1.29 thf(zf_stmt_10, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( zip_tseitin_18 @ X ) ) => ( zip_tseitin_100 ) ) =>
% 5.26/1.29 ( zip_tseitin_101 ))).thf(zf_stmt_11, type, zip_tseitin_100 : $o).
% 5.26/1.29 thf(zf_stmt_12, axiom,
% 5.26/1.29 (( ( ?[X:$i]: ( a1 @ X ) ) => ( ?[X:$i]: ( b @ X ) ) ) =>
% 5.26/1.29 ( zip_tseitin_100 ))).thf(zf_stmt_13, type, zip_tseitin_18 : $i > $o).
% 5.26/1.29 thf(zf_stmt_14, axiom,
% 5.26/1.29 (![X:$i]: ( ( zip_tseitin_18 @ X ) => ( ( a1 @ X ) => ( b @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_15, type, zip_tseitin_99 : $o).
% 5.26/1.29 thf(zf_stmt_16, axiom,
% 5.26/1.29 (( ( ?[X:$i]: ( ![Y:$i]: ( p @ X @ Y ) ) ) =>
% 5.26/1.29 ( ![Y:$i]: ( ?[X:$i]: ( p @ X @ Y ) ) ) ) =>
% 5.26/1.29 ( zip_tseitin_99 ))).thf(zf_stmt_17, type, zip_tseitin_98 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_18, axiom,
% 5.26/1.29 (![B:$i,A:$i]:
% 5.26/1.29 ( ( ( ![X:$i]: ( p1 @ X ) ) => ( zip_tseitin_48 @ A @ B ) ) =>
% 5.26/1.29 ( zip_tseitin_98 @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_19, type, zip_tseitin_97 : $o).
% 5.26/1.29 thf(zf_stmt_20, axiom,
% 5.26/1.29 (( ( zip_tseitin_96 ) =>
% 5.26/1.29 ( ?[Z:$i]: ( ![Y:$i]: ( zip_tseitin_63 @ Y @ Z ) ) ) ) =>
% 5.26/1.29 ( zip_tseitin_97 ))).thf(zf_stmt_21, type, zip_tseitin_96 : $o).
% 5.26/1.29 thf(zf_stmt_22, axiom,
% 5.26/1.29 (( zip_tseitin_96 ) =>
% 5.26/1.29 ( ( ![X:$i]: ( p1 @ X ) ) & ( ?[Y:$i]: ( q1 @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_23, type, zip_tseitin_95 : $o).
% 5.26/1.29 thf(zf_stmt_24, axiom,
% 5.26/1.29 (( ( ![X:$i,Y:$i]: ( zip_tseitin_93 @ Y @ X ) ) =>
% 5.26/1.29 ( ![A:$i,B:$i]: ( zip_tseitin_94 @ B @ A ) ) ) =>
% 5.26/1.29 ( zip_tseitin_95 ))).thf(zf_stmt_25, type, zip_tseitin_94 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_26, axiom,
% 5.26/1.29 (![B:$i,A:$i]:
% 5.26/1.29 ( ( ( eq @ A @ B ) => ( eq @ B @ A ) ) => ( zip_tseitin_94 @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_27, type, zip_tseitin_93 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_28, axiom,
% 5.26/1.29 (![Y:$i,X:$i]:
% 5.26/1.29 ( ( zip_tseitin_93 @ Y @ X ) =>
% 5.26/1.29 ( ( eq @ X @ Y ) <=> ( ![Z:$i]: ( zip_tseitin_92 @ Z @ Y @ X ) ) ) ))).
% 5.26/1.29 thf(zf_stmt_29, type, zip_tseitin_92 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_30, axiom,
% 5.26/1.29 (![Z:$i,Y:$i,X:$i]:
% 5.26/1.29 ( ( zip_tseitin_92 @ Z @ Y @ X ) <=>
% 5.26/1.29 ( ( a_member_of @ Z @ X ) <=> ( a_member_of @ Z @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_31, type, zip_tseitin_91 : $i > $i > $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_32, axiom,
% 5.26/1.29 (![Y:$i,X4:$i,X3:$i,X2:$i,X:$i,A:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_87 @ Y @ X2 @ X @ A ) => ( zip_tseitin_90 @ X4 @ X3 ) ) =>
% 5.26/1.29 ( zip_tseitin_91 @ Y @ X4 @ X3 @ X2 @ X @ A ) ))).
% 5.26/1.29 thf(zf_stmt_33, type, zip_tseitin_90 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_34, axiom,
% 5.26/1.29 (![X4:$i,X3:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_89 @ X3 ) | ( zip_tseitin_88 @ X4 ) ) =>
% 5.26/1.29 ( zip_tseitin_90 @ X4 @ X3 ) ))).
% 5.26/1.29 thf(zf_stmt_35, type, zip_tseitin_89 : $i > $o).
% 5.26/1.29 thf(zf_stmt_36, axiom,
% 5.26/1.29 (![X3:$i]: ( ( ( p1 @ X3 ) & ( g @ X3 ) ) => ( zip_tseitin_89 @ X3 ) ))).
% 5.26/1.29 thf(zf_stmt_37, type, zip_tseitin_88 : $i > $o).
% 5.26/1.29 thf(zf_stmt_38, axiom,
% 5.26/1.29 (![X4:$i]: ( ( ( p1 @ X4 ) & ( c @ X4 ) ) => ( zip_tseitin_88 @ X4 ) ))).
% 5.26/1.29 thf(zf_stmt_39, type, zip_tseitin_87 : $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_40, axiom,
% 5.26/1.29 (![Y:$i,X2:$i,X:$i,A:$i]:
% 5.26/1.29 ( ( zip_tseitin_87 @ Y @ X2 @ X @ A ) =>
% 5.26/1.29 ( ( p1 @ A ) & ( e @ A ) & ( zip_tseitin_86 @ X ) &
% 5.26/1.29 ( zip_tseitin_84 @ X2 ) & ( zip_tseitin_82 @ Y @ A ) ) ))).
% 5.26/1.29 thf(zf_stmt_41, type, zip_tseitin_86 : $i > $o).
% 5.26/1.29 thf(zf_stmt_42, axiom,
% 5.26/1.29 (![X:$i]:
% 5.26/1.29 ( ( zip_tseitin_86 @ X ) => ( ( e @ X ) => ( zip_tseitin_85 @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_43, type, zip_tseitin_85 : $i > $o).
% 5.26/1.29 thf(zf_stmt_44, axiom,
% 5.26/1.29 (![X:$i]:
% 5.26/1.29 ( ( zip_tseitin_85 @ X ) => ( ( g @ X ) | ( s @ X @ ( f @ X ) ) ) ))).
% 5.26/1.29 thf(zf_stmt_45, type, zip_tseitin_84 : $i > $o).
% 5.26/1.29 thf(zf_stmt_46, axiom,
% 5.26/1.29 (![X2:$i]:
% 5.26/1.29 ( ( zip_tseitin_84 @ X2 ) => ( ( e @ X2 ) => ( zip_tseitin_83 @ X2 ) ) ))).
% 5.26/1.29 thf(zf_stmt_47, type, zip_tseitin_83 : $i > $o).
% 5.26/1.29 thf(zf_stmt_48, axiom,
% 5.26/1.29 (![X2:$i]:
% 5.26/1.29 ( ( zip_tseitin_83 @ X2 ) => ( ( g @ X2 ) | ( c @ ( f @ X2 ) ) ) ))).
% 5.26/1.29 thf(zf_stmt_49, type, zip_tseitin_82 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_50, axiom,
% 5.26/1.29 (![Y:$i,A:$i]:
% 5.26/1.29 ( ( zip_tseitin_82 @ Y @ A ) => ( ( s @ A @ Y ) => ( p1 @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_51, type, zip_tseitin_81 : $i > $o).
% 5.26/1.29 thf(zf_stmt_52, axiom,
% 5.26/1.29 (![B:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_78 @ B ) => ( zip_tseitin_80 @ B ) ) =>
% 5.26/1.29 ( zip_tseitin_81 @ B ) ))).
% 5.26/1.29 thf(zf_stmt_53, type, zip_tseitin_80 : $i > $o).
% 5.26/1.29 thf(zf_stmt_54, axiom,
% 5.26/1.29 (![B:$i]:
% 5.26/1.29 ( ( ( ![Y:$i]: ( zip_tseitin_79 @ Y ) ) => ( q1 @ B ) ) =>
% 5.26/1.29 ( zip_tseitin_80 @ B ) ))).
% 5.26/1.29 thf(zf_stmt_55, type, zip_tseitin_79 : $i > $o).
% 5.26/1.29 thf(zf_stmt_56, axiom,
% 5.26/1.29 (![Y:$i]: ( ( zip_tseitin_79 @ Y ) => ( ( r1 @ Y ) => ( p1 @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_57, type, zip_tseitin_78 : $i > $o).
% 5.26/1.29 thf(zf_stmt_58, axiom,
% 5.26/1.29 (![B:$i]:
% 5.26/1.29 ( ( zip_tseitin_78 @ B ) =>
% 5.26/1.29 ( ( ![X:$i]: ( zip_tseitin_10 @ X ) ) & ( r1 @ B ) ) ))).
% 5.26/1.29 thf(zf_stmt_59, type, zip_tseitin_77 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_60, axiom,
% 5.26/1.29 (![Y:$i,X:$i,Z:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_76 @ Y @ X @ Z ) & ( zip_tseitin_74 @ Y @ X ) ) =>
% 5.26/1.29 ( zip_tseitin_77 @ Y @ X @ Z ) ))).
% 5.26/1.29 thf(zf_stmt_61, type, zip_tseitin_76 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_62, axiom,
% 5.26/1.29 (![Y:$i,X:$i,Z:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_75 @ Y @ Z ) => ( p @ Y @ X ) ) =>
% 5.26/1.29 ( zip_tseitin_76 @ Y @ X @ Z ) ))).
% 5.26/1.29 thf(zf_stmt_63, type, zip_tseitin_75 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_64, axiom,
% 5.26/1.29 (![Y:$i,Z:$i]:
% 5.26/1.29 ( ( zip_tseitin_75 @ Y @ Z ) => ( ( p @ Z @ Y ) & ( p @ Y @ Z ) ) ))).
% 5.26/1.29 thf(zf_stmt_65, type, zip_tseitin_74 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_66, axiom,
% 5.26/1.29 (![Y:$i,X:$i]:
% 5.26/1.29 ( ( ( p @ Y @ X ) => ( ?[W:$i]: ( p @ W @ Y ) ) ) =>
% 5.26/1.29 ( zip_tseitin_74 @ Y @ X ) ))).
% 5.26/1.29 thf(zf_stmt_67, type, zip_tseitin_73 : $o).
% 5.26/1.29 thf(zf_stmt_68, axiom,
% 5.26/1.29 (( ( zip_tseitin_72 ) => ( ?[Z:$i]: ( zip_tseitin_5 @ Z @ Z ) ) ) =>
% 5.26/1.29 ( zip_tseitin_73 ))).thf(zf_stmt_69, type, zip_tseitin_72 : $o).
% 5.26/1.29 thf(zf_stmt_70, axiom,
% 5.26/1.29 (( zip_tseitin_72 ) =>
% 5.26/1.29 ( ( ![X:$i]: ( zip_tseitin_10 @ X ) ) &
% 5.26/1.29 ( ?[Y:$i]: ( zip_tseitin_71 @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_71, type, zip_tseitin_71 : $i > $o).
% 5.26/1.29 thf(zf_stmt_72, axiom,
% 5.26/1.29 (![Y:$i]: ( ( zip_tseitin_71 @ Y ) => ( ( q1 @ Y ) => ( r1 @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_73, type, zip_tseitin_70 : $i > $o).
% 5.26/1.29 thf(zf_stmt_74, axiom,
% 5.26/1.29 (![B:$i]:
% 5.26/1.29 ( ( ( ![Y:$i]: ( zip_tseitin_67 @ Y @ B ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]: ( zip_tseitin_69 @ Y @ X @ B ) ) ) =>
% 5.26/1.29 ( zip_tseitin_70 @ B ) ))).
% 5.26/1.29 thf(zf_stmt_75, type, zip_tseitin_69 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_76, axiom,
% 5.26/1.29 (![Y:$i,X:$i,B:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_68 @ Y @ X @ B ) & ( p @ X @ Y ) ) =>
% 5.26/1.29 ( zip_tseitin_69 @ Y @ X @ B ) ))).
% 5.26/1.29 thf(zf_stmt_77, type, zip_tseitin_68 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_78, axiom,
% 5.26/1.29 (![Y:$i,X:$i,B:$i]:
% 5.26/1.29 ( ( ( q @ ( f @ B ) @ B ) => ( q @ X @ Y ) ) =>
% 5.26/1.29 ( zip_tseitin_68 @ Y @ X @ B ) ))).
% 5.26/1.29 thf(zf_stmt_79, type, zip_tseitin_67 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_80, axiom,
% 5.26/1.29 (![Y:$i,B:$i]:
% 5.26/1.29 ( ( zip_tseitin_67 @ Y @ B ) =>
% 5.26/1.29 ( ( zip_tseitin_66 @ Y @ B ) => ( p @ ( f @ Y ) @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_81, type, zip_tseitin_66 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_82, axiom,
% 5.26/1.29 (![Y:$i,B:$i]:
% 5.26/1.29 ( ( ( r1 @ B ) => ( r1 @ Y ) ) => ( zip_tseitin_66 @ Y @ B ) ))).
% 5.26/1.29 thf(zf_stmt_83, type, zip_tseitin_65 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_84, axiom,
% 5.26/1.29 (![B:$i,A:$i]:
% 5.26/1.29 ( ( ( ![Y:$i]: ( zip_tseitin_15 @ Y @ Y ) ) =>
% 5.26/1.29 ( ?[X:$i]: ( zip_tseitin_16 @ X @ B @ A ) ) ) =>
% 5.26/1.29 ( zip_tseitin_65 @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_85, type, zip_tseitin_15 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_86, axiom,
% 5.26/1.29 (![Y:$i]: ( ( zip_tseitin_15 @ Y @ Y ) => ( ( q1 @ Y ) => ( p1 @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_87, type, zip_tseitin_64 : $o).
% 5.26/1.29 thf(zf_stmt_88, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( ?[Y:$i]: ( zip_tseitin_62 @ Y @ X ) ) ) =>
% 5.26/1.29 ( ?[Z:$i]: ( ![Y:$i]: ( zip_tseitin_63 @ Y @ Z ) ) ) ) =>
% 5.26/1.29 ( zip_tseitin_64 ))).thf(zf_stmt_89, type, zip_tseitin_63 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_90, axiom,
% 5.26/1.29 (![Y:$i,Z:$i]:
% 5.26/1.29 ( ( ( r1 @ Z ) | ( p1 @ Y ) ) => ( zip_tseitin_63 @ Y @ Z ) ))).
% 5.26/1.29 thf(zf_stmt_91, type, zip_tseitin_62 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_92, axiom,
% 5.26/1.29 (![Y:$i,X:$i]:
% 5.26/1.29 ( ( zip_tseitin_62 @ Y @ X ) => ( ( q1 @ Y ) & ( p1 @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_93, type, zip_tseitin_61 : $o).
% 5.26/1.29 thf(zf_stmt_94, axiom,
% 5.26/1.29 (( ( zip_tseitin_59 ) => ( ?[X:$i]: ( zip_tseitin_60 @ X ) ) ) =>
% 5.26/1.29 ( zip_tseitin_61 ))).thf(zf_stmt_95, type, zip_tseitin_60 : $i > $o).
% 5.26/1.29 thf(zf_stmt_96, axiom,
% 5.26/1.29 (![X:$i]: ( ( ( b @ X ) & ( a1 @ X ) ) => ( zip_tseitin_60 @ X ) ))).
% 5.26/1.29 thf(zf_stmt_97, type, zip_tseitin_59 : $o).
% 5.26/1.29 thf(zf_stmt_98, axiom,
% 5.26/1.29 (( zip_tseitin_59 ) => ( ( ?[X:$i]: ( a1 @ X ) ) & ( ![X:$i]: ( b @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_99, type, zip_tseitin_58 : $i > $o).
% 5.26/1.29 thf(zf_stmt_100, axiom,
% 5.26/1.29 (![A:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_57 ) => ( q1 @ A ) ) => ( zip_tseitin_58 @ A ) ))).
% 5.26/1.29 thf(zf_stmt_101, type, zip_tseitin_57 : $o).
% 5.26/1.29 thf(zf_stmt_102, axiom,
% 5.26/1.29 (( zip_tseitin_57 ) =>
% 5.26/1.29 ( ( zip_tseitin_56 ) & ( ![X:$i]: ( zip_tseitin_55 @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_103, type, zip_tseitin_56 : $o).
% 5.26/1.29 thf(zf_stmt_104, axiom, (( zip_tseitin_56 ) => ( ( f0 ) | ( g0 ) ))).
% 5.26/1.29 thf(zf_stmt_105, type, zip_tseitin_55 : $i > $o).
% 5.26/1.29 thf(zf_stmt_106, axiom,
% 5.26/1.29 (![X:$i]: ( ( zip_tseitin_55 @ X ) => ( ( q1 @ X ) & ( p1 @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_107, type, zip_tseitin_54 : $o).
% 5.26/1.29 thf(zf_stmt_108, axiom,
% 5.26/1.29 (( ( zip_tseitin_52 ) => ( ?[X:$i]: ( zip_tseitin_53 @ X ) ) ) =>
% 5.26/1.29 ( zip_tseitin_54 ))).thf(zf_stmt_109, type, zip_tseitin_53 : $i > $o).
% 5.26/1.29 thf(zf_stmt_110, axiom,
% 5.26/1.29 (![X:$i]: ( ( ( c @ X ) & ( a1 @ X ) ) => ( zip_tseitin_53 @ X ) ))).
% 5.26/1.29 thf(zf_stmt_111, type, zip_tseitin_52 : $o).
% 5.26/1.29 thf(zf_stmt_112, axiom,
% 5.26/1.29 (( zip_tseitin_52 ) =>
% 5.26/1.29 ( ( ![X:$i]: ( zip_tseitin_51 @ X ) ) &
% 5.26/1.29 ( ~( ![X:$i]: ( zip_tseitin_18 @ X ) ) ) ))).
% 5.26/1.29 thf(zf_stmt_113, type, zip_tseitin_51 : $i > $o).
% 5.26/1.29 thf(zf_stmt_114, axiom,
% 5.26/1.29 (![X:$i]:
% 5.26/1.29 ( ( zip_tseitin_51 @ X ) => ( ( a1 @ X ) => ( zip_tseitin_50 @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_115, type, zip_tseitin_50 : $i > $o).
% 5.26/1.29 thf(zf_stmt_116, axiom,
% 5.26/1.29 (![X:$i]: ( ( zip_tseitin_50 @ X ) => ( ( b @ X ) | ( c @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_117, type, zip_tseitin_18 : $i > $o).
% 5.26/1.29 thf(zf_stmt_118, axiom,
% 5.26/1.29 (![X:$i]: ( ( ( a1 @ X ) => ( b @ X ) ) => ( zip_tseitin_18 @ X ) ))).
% 5.26/1.29 thf(zf_stmt_119, type, zip_tseitin_49 : $o).
% 5.26/1.29 thf(zf_stmt_120, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( p1 @ X ) ) => ( ![A:$i,B:$i]: ( zip_tseitin_48 @ B @ A ) ) ) =>
% 5.26/1.29 ( zip_tseitin_49 ))).
% 5.26/1.29 thf(zf_stmt_121, type, zip_tseitin_48 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_122, axiom,
% 5.26/1.29 (![B:$i,A:$i]:
% 5.26/1.29 ( ( ( p1 @ B ) & ( p1 @ A ) ) => ( zip_tseitin_48 @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_123, type, zip_tseitin_47 : $o).
% 5.26/1.29 thf(zf_stmt_124, axiom,
% 5.26/1.29 (( ( ![X:$i,Y:$i]: ( p @ X @ Y ) ) => ( ![X:$i]: ( p @ X @ X ) ) ) =>
% 5.26/1.29 ( zip_tseitin_47 ))).
% 5.26/1.29 thf(zf_stmt_125, type, zip_tseitin_46 : $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_126, axiom,
% 5.26/1.29 (![Y:$i,X:$i,B:$i,A:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_45 @ Y @ X @ B @ A ) => ( p @ A @ B ) ) =>
% 5.26/1.29 ( zip_tseitin_46 @ Y @ X @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_127, type, zip_tseitin_45 : $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_128, axiom,
% 5.26/1.29 (![Y:$i,X:$i,B:$i,A:$i]:
% 5.26/1.29 ( ( zip_tseitin_45 @ Y @ X @ B @ A ) =>
% 5.26/1.29 ( ( zip_tseitin_44 @ X @ A ) & ( q1 @ A ) & ( q1 @ B ) &
% 5.26/1.29 ( zip_tseitin_43 @ Y @ B ) & ( r1 @ A ) & ( r1 @ B ) &
% 5.26/1.29 ( zip_tseitin_42 @ Y @ X @ A ) & ( s1 @ A ) ) ))).
% 5.26/1.29 thf(zf_stmt_129, type, zip_tseitin_44 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_130, axiom,
% 5.26/1.29 (![X:$i,A:$i]:
% 5.26/1.29 ( ( zip_tseitin_44 @ X @ A ) => ( ( q1 @ X ) => ( p @ X @ A ) ) ))).
% 5.26/1.29 thf(zf_stmt_131, type, zip_tseitin_43 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_132, axiom,
% 5.26/1.29 (![Y:$i,B:$i]:
% 5.26/1.29 ( ( zip_tseitin_43 @ Y @ B ) => ( ( r1 @ Y ) => ( p @ B @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_133, type, zip_tseitin_42 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_134, axiom,
% 5.26/1.29 (![Y:$i,X:$i,A:$i]:
% 5.26/1.29 ( ( zip_tseitin_42 @ Y @ X @ A ) => ( ( s1 @ A ) => ( p @ X @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_135, type, zip_tseitin_41 : $i > $o).
% 5.26/1.29 thf(zf_stmt_136, axiom,
% 5.26/1.29 (![Y:$i]:
% 5.26/1.29 ( ( ( ?[X:$i]: ( p1 @ X ) ) => ( p1 @ Y ) ) => ( zip_tseitin_41 @ Y ) ))).
% 5.26/1.29 thf(zf_stmt_137, type, zip_tseitin_40 : $o).
% 5.26/1.29 thf(zf_stmt_138, axiom,
% 5.26/1.29 (( ( ?[X:$i]: ( b @ X ) ) => ( ?[X:$i]: ( zip_tseitin_39 @ X ) ) ) =>
% 5.26/1.29 ( zip_tseitin_40 ))).thf(zf_stmt_139, type, zip_tseitin_39 : $i > $o).
% 5.26/1.29 thf(zf_stmt_140, axiom,
% 5.26/1.29 (![X:$i]: ( ( ( b @ X ) | ( a1 @ X ) ) => ( zip_tseitin_39 @ X ) ))).
% 5.26/1.29 thf(zf_stmt_141, type, zip_tseitin_38 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_142, axiom,
% 5.26/1.29 (![C:$i,B:$i]:
% 5.26/1.29 ( ( ( q1 @ ( f @ B ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]: ( zip_tseitin_33 @ Y @ X @ C @ B ) ) ) =>
% 5.26/1.29 ( zip_tseitin_38 @ C @ B ) ))).
% 5.26/1.29 thf(zf_stmt_143, type, zip_tseitin_37 : $o).
% 5.26/1.29 thf(zf_stmt_144, axiom,
% 5.26/1.29 (( ( b0 ) | ( a0 ) | ( zip_tseitin_8 ) ) => ( zip_tseitin_37 ))).
% 5.26/1.29 thf(zf_stmt_145, type, zip_tseitin_36 : $o).
% 5.26/1.29 thf(zf_stmt_146, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( ?[Y:$i]: ( zip_tseitin_35 @ Y @ X ) ) ) =>
% 5.26/1.29 ( ?[Z:$i]: ( a @ Z @ Z ) ) ) =>
% 5.26/1.29 ( zip_tseitin_36 ))).
% 5.26/1.29 thf(zf_stmt_147, type, zip_tseitin_35 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_148, axiom,
% 5.26/1.29 (![Y:$i,X:$i]:
% 5.26/1.29 ( ( zip_tseitin_35 @ Y @ X ) => ( ( a @ Y @ Y ) & ( a @ X @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_149, type, zip_tseitin_34 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_150, axiom,
% 5.26/1.29 (![C:$i,B:$i]:
% 5.26/1.29 ( ( ( ![Z:$i]: ( q1 @ ( f @ Z ) ) ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]: ( zip_tseitin_33 @ Y @ X @ C @ B ) ) ) =>
% 5.26/1.29 ( zip_tseitin_34 @ C @ B ) ))).
% 5.26/1.29 thf(zf_stmt_151, type, zip_tseitin_33 : $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_152, axiom,
% 5.26/1.29 (![Y:$i,X:$i,C:$i,B:$i]:
% 5.26/1.29 ( ( ( q1 @ X ) & ( zip_tseitin_32 @ Y @ X @ C @ B ) ) =>
% 5.26/1.29 ( zip_tseitin_33 @ Y @ X @ C @ B ) ))).
% 5.26/1.29 thf(zf_stmt_153, type, zip_tseitin_32 : $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_154, axiom,
% 5.26/1.29 (![Y:$i,X:$i,C:$i,B:$i]:
% 5.26/1.29 ( ( ( p1 @ ( f @ Y ) ) => ( zip_tseitin_31 @ Y @ X @ C @ B ) ) =>
% 5.26/1.29 ( zip_tseitin_32 @ Y @ X @ C @ B ) ))).
% 5.26/1.29 thf(zf_stmt_155, type, zip_tseitin_31 : $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_156, axiom,
% 5.26/1.29 (![Y:$i,X:$i,C:$i,B:$i]:
% 5.26/1.29 ( ( ( p1 @ X ) & ( zip_tseitin_2 @ Y @ B @ C ) ) =>
% 5.26/1.29 ( zip_tseitin_31 @ Y @ X @ C @ B ) ))).
% 5.26/1.29 thf(zf_stmt_157, type, zip_tseitin_30 : $o).
% 5.26/1.29 thf(zf_stmt_158, axiom,
% 5.26/1.29 (( ( ?[X:$i]: ( p1 @ X ) ) => ( ?[Y:$i]: ( p1 @ Y ) ) ) =>
% 5.26/1.29 ( zip_tseitin_30 ))).
% 5.26/1.29 thf(zf_stmt_159, type, zip_tseitin_29 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_160, axiom,
% 5.26/1.29 (![C:$i,B:$i,A:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_27 @ C @ B @ A ) =>
% 5.26/1.29 ( ?[X:$i,Y:$i]: ( zip_tseitin_28 @ Y @ X ) ) ) =>
% 5.26/1.29 ( zip_tseitin_29 @ C @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_161, type, zip_tseitin_28 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_162, axiom,
% 5.26/1.29 (![Y:$i,X:$i]:
% 5.26/1.29 ( ( ( q @ X @ Y ) & ( p1 @ X ) ) => ( zip_tseitin_28 @ Y @ X ) ))).
% 5.26/1.29 thf(zf_stmt_163, type, zip_tseitin_27 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_164, axiom,
% 5.26/1.29 (![C:$i,B:$i,A:$i]:
% 5.26/1.29 ( ( zip_tseitin_27 @ C @ B @ A ) =>
% 5.26/1.29 ( ( s1 @ A ) & ( s1 @ B ) & ( r @ B @ C ) &
% 5.26/1.29 ( ![X:$i]: ( zip_tseitin_26 @ X ) ) &
% 5.26/1.29 ( ![X:$i,Y:$i]: ( zip_tseitin_25 @ Y @ X ) ) ) ))).
% 5.26/1.29 thf(zf_stmt_165, type, zip_tseitin_26 : $i > $o).
% 5.26/1.29 thf(zf_stmt_166, axiom,
% 5.26/1.29 (![X:$i]: ( ( zip_tseitin_26 @ X ) => ( ( s1 @ X ) => ( p1 @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_167, type, zip_tseitin_25 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_168, axiom,
% 5.26/1.29 (![Y:$i,X:$i]:
% 5.26/1.29 ( ( zip_tseitin_25 @ Y @ X ) => ( ( r @ X @ Y ) => ( q @ X @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_169, type, zip_tseitin_24 : $o).
% 5.26/1.29 thf(zf_stmt_170, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( p1 @ X ) ) => ( ?[Y:$i]: ( p1 @ Y ) ) ) =>
% 5.26/1.29 ( zip_tseitin_24 ))).thf(zf_stmt_171, type, zip_tseitin_23 : $o).
% 5.26/1.29 thf(zf_stmt_172, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( p1 @ X ) ) => ( zip_tseitin_22 ) ) => ( zip_tseitin_23 ))).
% 5.26/1.29 thf(zf_stmt_173, type, zip_tseitin_22 : $o).
% 5.26/1.29 thf(zf_stmt_174, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( p1 @ X ) ) & ( ![Y:$i]: ( p1 @ Y ) ) ) =>
% 5.26/1.29 ( zip_tseitin_22 ))).thf(zf_stmt_175, type, zip_tseitin_21 : $o).
% 5.26/1.29 thf(zf_stmt_176, axiom,
% 5.26/1.29 (( ( ?[X:$i,Y:$i]: ( a @ X @ Y ) ) <=> ( ?[Y:$i,X:$i]: ( a @ X @ Y ) ) ) =>
% 5.26/1.29 ( zip_tseitin_21 ))).thf(zf_stmt_177, type, zip_tseitin_20 : $o).
% 5.26/1.29 thf(zf_stmt_178, axiom,
% 5.26/1.29 (( ( ?[X:$i]: ( zip_tseitin_18 @ X ) ) => ( zip_tseitin_19 ) ) =>
% 5.26/1.29 ( zip_tseitin_20 ))).thf(zf_stmt_179, type, zip_tseitin_19 : $o).
% 5.26/1.29 thf(zf_stmt_180, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( a1 @ X ) ) => ( ?[X:$i]: ( b @ X ) ) ) =>
% 5.26/1.29 ( zip_tseitin_19 ))).thf(zf_stmt_181, type, zip_tseitin_18 : $i > $o).
% 5.26/1.29 thf(zf_stmt_182, axiom,
% 5.26/1.29 (![X:$i]: ( ( zip_tseitin_18 @ X ) => ( ( a1 @ X ) => ( b @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_183, type, zip_tseitin_17 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_184, axiom,
% 5.26/1.29 (![B:$i,A:$i]:
% 5.26/1.29 ( ( ( ![Y:$i]: ( zip_tseitin_13 @ Y ) ) =>
% 5.26/1.29 ( ?[X:$i]: ( zip_tseitin_16 @ X @ B @ A ) ) ) =>
% 5.26/1.29 ( zip_tseitin_17 @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_185, type, zip_tseitin_16 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_186, axiom,
% 5.26/1.29 (![X:$i,B:$i,A:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_15 @ X @ B ) & ( zip_tseitin_14 @ X @ A ) ) =>
% 5.26/1.29 ( zip_tseitin_16 @ X @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_187, type, zip_tseitin_15 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_188, axiom,
% 5.26/1.29 (![X:$i,B:$i]:
% 5.26/1.29 ( ( ( q1 @ X ) => ( p1 @ B ) ) => ( zip_tseitin_15 @ X @ B ) ))).
% 5.26/1.29 thf(zf_stmt_189, type, zip_tseitin_14 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_190, axiom,
% 5.26/1.29 (![X:$i,A:$i]:
% 5.26/1.29 ( ( ( p1 @ X ) => ( p1 @ A ) ) => ( zip_tseitin_14 @ X @ A ) ))).
% 5.26/1.29 thf(zf_stmt_191, type, zip_tseitin_13 : $i > $o).
% 5.26/1.29 thf(zf_stmt_192, axiom,
% 5.26/1.29 (![Y:$i]: ( ( zip_tseitin_13 @ Y ) => ( ( q1 @ Y ) => ( p1 @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_193, type, zip_tseitin_12 : $o).
% 5.26/1.29 thf(zf_stmt_194, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( zip_tseitin_10 @ X ) ) => ( zip_tseitin_11 ) ) =>
% 5.26/1.29 ( zip_tseitin_12 ))).thf(zf_stmt_195, type, zip_tseitin_11 : $o).
% 5.26/1.29 thf(zf_stmt_196, axiom,
% 5.26/1.29 (( ( ![X:$i]: ( p1 @ X ) ) => ( ![X:$i]: ( q1 @ X ) ) ) =>
% 5.26/1.29 ( zip_tseitin_11 ))).thf(zf_stmt_197, type, zip_tseitin_10 : $i > $o).
% 5.26/1.29 thf(zf_stmt_198, axiom,
% 5.26/1.29 (![X:$i]: ( ( zip_tseitin_10 @ X ) => ( ( p1 @ X ) => ( q1 @ X ) ) ))).
% 5.26/1.29 thf(zf_stmt_199, type, zip_tseitin_9 : $o).
% 5.26/1.29 thf(zf_stmt_200, axiom,
% 5.26/1.29 (( ( zip_tseitin_7 ) => ( zip_tseitin_8 ) ) => ( zip_tseitin_9 ))).
% 5.26/1.29 thf(zf_stmt_201, type, zip_tseitin_8 : $o).
% 5.26/1.29 thf(zf_stmt_202, axiom, (( ( a0 ) <=> ( b0 ) ) => ( zip_tseitin_8 ))).
% 5.26/1.29 thf(zf_stmt_203, type, zip_tseitin_7 : $o).
% 5.26/1.29 thf(zf_stmt_204, axiom, (( zip_tseitin_7 ) => ( ( a0 ) & ( b0 ) ))).
% 5.26/1.29 thf(zf_stmt_205, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_206, axiom,
% 5.26/1.29 (![Y:$i,X:$i,B:$i,A:$i]:
% 5.26/1.29 ( ( ( zip_tseitin_5 @ Y @ X ) => ( zip_tseitin_5 @ B @ A ) ) =>
% 5.26/1.29 ( zip_tseitin_6 @ Y @ X @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_207, type, zip_tseitin_5 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_208, axiom,
% 5.26/1.29 (![B:$i,A:$i]:
% 5.26/1.29 ( ( ( p1 @ A ) => ( r1 @ B ) ) => ( zip_tseitin_5 @ B @ A ) ))).
% 5.26/1.29 thf(zf_stmt_209, type, zip_tseitin_5 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_210, axiom,
% 5.26/1.29 (![Y:$i,X:$i]:
% 5.26/1.29 ( ( zip_tseitin_5 @ Y @ X ) => ( ( p1 @ X ) => ( r1 @ Y ) ) ))).
% 5.26/1.29 thf(zf_stmt_211, type, zip_tseitin_4 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_212, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_213, type, zip_tseitin_2 : $i > $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_214, type, zip_tseitin_1 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_215, type, zip_tseitin_0 : $i > $i > $o).
% 5.26/1.29 thf(zf_stmt_216, conjecture,
% 5.26/1.29 (( zip_tseitin_103 ) &
% 5.26/1.29 ( ~( ?[Y:$i]: ( ![X:$i]: ( zip_tseitin_102 @ X @ Y ) ) ) ) &
% 5.26/1.29 ( zip_tseitin_101 ) & ( zip_tseitin_99 ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( zip_tseitin_98 @ B @ A ) ) & ( zip_tseitin_97 ) &
% 5.26/1.29 ( zip_tseitin_95 ) &
% 5.26/1.29 ( ![A:$i]:
% 5.26/1.29 ( ?[X:$i,X2:$i,X3:$i,X4:$i,Y:$i]:
% 5.26/1.29 ( zip_tseitin_91 @ Y @ X4 @ X3 @ X2 @ X @ A ) ) ) &
% 5.26/1.29 ( ![B:$i]: ( zip_tseitin_81 @ B ) ) &
% 5.26/1.29 ( ?[Z:$i]: ( ![X:$i]: ( ?[Y:$i]: ( zip_tseitin_77 @ Y @ X @ Z ) ) ) ) &
% 5.26/1.29 ( zip_tseitin_30 ) & ( zip_tseitin_73 ) &
% 5.26/1.29 ( ![B:$i]: ( zip_tseitin_70 @ B ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( zip_tseitin_65 @ B @ A ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( zip_tseitin_65 @ B @ A ) ) & ( zip_tseitin_64 ) &
% 5.26/1.29 ( zip_tseitin_61 ) & ( ![A:$i]: ( zip_tseitin_58 @ A ) ) &
% 5.26/1.29 ( zip_tseitin_54 ) & ( zip_tseitin_49 ) & ( zip_tseitin_47 ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( ?[X:$i,Y:$i]: ( zip_tseitin_46 @ Y @ X @ B @ A ) ) ) &
% 5.26/1.29 ( ?[Y:$i]: ( zip_tseitin_41 @ Y ) ) & ( zip_tseitin_40 ) &
% 5.26/1.29 ( ![B:$i,C:$i]: ( zip_tseitin_38 @ C @ B ) ) & ( zip_tseitin_37 ) &
% 5.26/1.29 ( zip_tseitin_36 ) & ( ![B:$i,C:$i]: ( zip_tseitin_34 @ C @ B ) ) &
% 5.26/1.29 ( zip_tseitin_30 ) & ( zip_tseitin_30 ) &
% 5.26/1.29 ( ![A:$i,B:$i,C:$i]: ( zip_tseitin_29 @ C @ B @ A ) ) &
% 5.26/1.29 ( ?[X:$i]: ( ![Y:$i]: ( zip_tseitin_14 @ X @ Y ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i,C:$i]: ( zip_tseitin_29 @ C @ B @ A ) ) &
% 5.26/1.29 ( zip_tseitin_24 ) & ( zip_tseitin_23 ) & ( zip_tseitin_21 ) &
% 5.26/1.29 ( zip_tseitin_20 ) & ( ![A:$i,B:$i]: ( zip_tseitin_17 @ B @ A ) ) &
% 5.26/1.29 ( zip_tseitin_12 ) & ( zip_tseitin_9 ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( ?[X:$i,Y:$i]: ( zip_tseitin_6 @ Y @ X @ B @ A ) ) ) &
% 5.26/1.29 ( ![C:$i,B:$i]: ( zip_tseitin_4 @ B @ C ) ))).
% 5.26/1.29 thf(zf_stmt_217, negated_conjecture,
% 5.26/1.29 (~( ( zip_tseitin_103 ) &
% 5.26/1.29 ( ~( ?[Y:$i]: ( ![X:$i]: ( zip_tseitin_102 @ X @ Y ) ) ) ) &
% 5.26/1.29 ( zip_tseitin_101 ) & ( zip_tseitin_99 ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( zip_tseitin_98 @ B @ A ) ) & ( zip_tseitin_97 ) &
% 5.26/1.29 ( zip_tseitin_95 ) &
% 5.26/1.29 ( ![A:$i]:
% 5.26/1.29 ( ?[X:$i,X2:$i,X3:$i,X4:$i,Y:$i]:
% 5.26/1.29 ( zip_tseitin_91 @ Y @ X4 @ X3 @ X2 @ X @ A ) ) ) &
% 5.26/1.29 ( ![B:$i]: ( zip_tseitin_81 @ B ) ) &
% 5.26/1.29 ( ?[Z:$i]: ( ![X:$i]: ( ?[Y:$i]: ( zip_tseitin_77 @ Y @ X @ Z ) ) ) ) &
% 5.26/1.29 ( zip_tseitin_30 ) & ( zip_tseitin_73 ) &
% 5.26/1.29 ( ![B:$i]: ( zip_tseitin_70 @ B ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( zip_tseitin_65 @ B @ A ) ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( zip_tseitin_65 @ B @ A ) ) & ( zip_tseitin_64 ) &
% 5.26/1.29 ( zip_tseitin_61 ) & ( ![A:$i]: ( zip_tseitin_58 @ A ) ) &
% 5.26/1.29 ( zip_tseitin_54 ) & ( zip_tseitin_49 ) & ( zip_tseitin_47 ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( ?[X:$i,Y:$i]: ( zip_tseitin_46 @ Y @ X @ B @ A ) ) ) &
% 5.26/1.29 ( ?[Y:$i]: ( zip_tseitin_41 @ Y ) ) & ( zip_tseitin_40 ) &
% 5.26/1.29 ( ![B:$i,C:$i]: ( zip_tseitin_38 @ C @ B ) ) & ( zip_tseitin_37 ) &
% 5.26/1.29 ( zip_tseitin_36 ) & ( ![B:$i,C:$i]: ( zip_tseitin_34 @ C @ B ) ) &
% 5.26/1.29 ( zip_tseitin_30 ) & ( zip_tseitin_30 ) &
% 5.26/1.29 ( ![A:$i,B:$i,C:$i]: ( zip_tseitin_29 @ C @ B @ A ) ) &
% 5.26/1.29 ( ?[X:$i]: ( ![Y:$i]: ( zip_tseitin_14 @ X @ Y ) ) ) &
% 5.26/1.29 ( ![A:$i,B:$i,C:$i]: ( zip_tseitin_29 @ C @ B @ A ) ) &
% 5.26/1.29 ( zip_tseitin_24 ) & ( zip_tseitin_23 ) & ( zip_tseitin_21 ) &
% 5.26/1.29 ( zip_tseitin_20 ) & ( ![A:$i,B:$i]: ( zip_tseitin_17 @ B @ A ) ) &
% 5.26/1.29 ( zip_tseitin_12 ) & ( zip_tseitin_9 ) &
% 5.26/1.29 ( ![A:$i,B:$i]: ( ?[X:$i,Y:$i]: ( zip_tseitin_6 @ Y @ X @ B @ A ) ) ) &
% 5.26/1.29 ( ![C:$i,B:$i]: ( zip_tseitin_4 @ B @ C ) ) )),
% 5.26/1.29 inference('cnf.neg', [status(esa)], [zf_stmt_216])).
% 5.26/1.29 thf(zip_derived_cl195, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.26/1.29 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 5.26/1.29 (~ (zip_tseitin_103)
% 5.26/1.29 | (zip_tseitin_102 @ X0 @ sk__30)
% 5.26/1.29 | ~ (zip_tseitin_101)
% 5.26/1.29 | ~ (zip_tseitin_99)
% 5.26/1.29 | ~ (zip_tseitin_98 @ sk__32 @ sk__31)
% 5.26/1.29 | ~ (zip_tseitin_97)
% 5.26/1.29 | ~ (zip_tseitin_95)
% 5.26/1.29 | ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)
% 5.26/1.29 | ~ (zip_tseitin_81 @ sk__34)
% 5.26/1.29 | ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)
% 5.26/1.29 | ~ (zip_tseitin_30)
% 5.26/1.29 | ~ (zip_tseitin_73)
% 5.26/1.29 | ~ (zip_tseitin_70 @ sk__36)
% 5.26/1.29 | ~ (zip_tseitin_65 @ sk__38 @ sk__37)
% 5.26/1.29 | ~ (zip_tseitin_65 @ sk__40 @ sk__39)
% 5.26/1.29 | ~ (zip_tseitin_64)
% 5.26/1.29 | ~ (zip_tseitin_61)
% 5.26/1.29 | ~ (zip_tseitin_58 @ sk__41)
% 5.26/1.29 | ~ (zip_tseitin_54)
% 5.26/1.29 | ~ (zip_tseitin_49)
% 5.26/1.29 | ~ (zip_tseitin_47)
% 5.26/1.29 | ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)
% 5.26/1.29 | ~ (zip_tseitin_41 @ X10)
% 5.26/1.29 | ~ (zip_tseitin_40)
% 5.26/1.29 | ~ (zip_tseitin_38 @ sk__45 @ sk__44)
% 5.26/1.29 | ~ (zip_tseitin_37)
% 5.26/1.29 | ~ (zip_tseitin_36)
% 5.26/1.29 | ~ (zip_tseitin_34 @ sk__47 @ sk__46)
% 5.26/1.29 | ~ (zip_tseitin_30)
% 5.26/1.29 | ~ (zip_tseitin_30)
% 5.26/1.29 | ~ (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)
% 5.26/1.29 | ~ (zip_tseitin_14 @ X11 @ (sk__51 @ X11))
% 5.26/1.29 | ~ (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)
% 5.26/1.29 | ~ (zip_tseitin_24)
% 5.26/1.29 | ~ (zip_tseitin_23)
% 5.26/1.29 | ~ (zip_tseitin_21)
% 5.26/1.29 | ~ (zip_tseitin_20)
% 5.26/1.29 | ~ (zip_tseitin_17 @ sk__56 @ sk__55)
% 5.26/1.29 | ~ (zip_tseitin_12)
% 5.26/1.29 | ~ (zip_tseitin_9)
% 5.26/1.29 | ~ (zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57)
% 5.26/1.29 | ~ (zip_tseitin_4 @ sk__60 @ sk__59))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_217])).
% 5.26/1.29 thf(zip_derived_cl365, plain,
% 5.26/1.29 ((~ (zip_tseitin_4 @ sk__60 @ sk__59))
% 5.26/1.29 <= (~ ( (zip_tseitin_4 @ sk__60 @ sk__59)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.29 thf(zip_derived_cl1611, plain,
% 5.26/1.29 (((~ (r1 @ sk__60) | ~ (r1 @ sk__59)))
% 5.26/1.29 <= (~ ( (zip_tseitin_4 @ sk__60 @ sk__59)) &
% 5.26/1.29 (![X0 : $i, X1 : $i]:
% 5.26/1.29 (~ (r1 @ X0) | ~ (r1 @ X1) | (zip_tseitin_4 @ X1 @ X0))))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1582, zip_derived_cl365])).
% 5.26/1.29 thf(zip_derived_cl1853, plain, ((~ (r1 @ sk__60)) <= (~ ( (r1 @ sk__60)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1611])).
% 5.26/1.29 thf('0', plain,
% 5.26/1.29 (( (r1 @ sk__60)) | ~ (![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1)))) |
% 5.26/1.29 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.29 ~ (![X2 : $i]: (q1 @ (f @ X2)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1786, zip_derived_cl1853])).
% 5.26/1.29 thf(zip_derived_cl1786, plain,
% 5.26/1.29 ((![X0 : $i]: (r1 @ X0))
% 5.26/1.29 <= ((![X2 : $i]: (q1 @ (f @ X2))) &
% 5.26/1.29 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) &
% 5.26/1.29 (![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1)))))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1574, zip_derived_cl1556])).
% 5.26/1.29 thf(zip_derived_cl1854, plain, ((~ (r1 @ sk__59)) <= (~ ( (r1 @ sk__59)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1611])).
% 5.26/1.29 thf('1', plain,
% 5.26/1.29 (( (r1 @ sk__59)) | ~ (![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1)))) |
% 5.26/1.29 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.29 ~ (![X2 : $i]: (q1 @ (f @ X2)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1786, zip_derived_cl1854])).
% 5.26/1.29 thf(zip_derived_cl1549, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))
% 5.26/1.29 <= ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.29 thf(zip_derived_cl70, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]: ( (zip_tseitin_38 @ X0 @ X1) | (q1 @ (f @ X1)))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_142])).
% 5.26/1.29 thf(zip_derived_cl370, plain,
% 5.26/1.29 ((~ (zip_tseitin_38 @ sk__45 @ sk__44))
% 5.26/1.29 <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.29 thf(zip_derived_cl650, plain,
% 5.26/1.29 (( (q1 @ (f @ sk__44))) <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl370])).
% 5.26/1.29 thf(zip_derived_cl1557, plain,
% 5.26/1.29 ((~ (p1 @ (f @ sk__44)))
% 5.26/1.29 <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)) &
% 5.26/1.29 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1549, zip_derived_cl650])).
% 5.26/1.29 thf(zip_derived_cl60, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (zip_tseitin_34 @ X0 @ X1) | ~ (zip_tseitin_33 @ X2 @ X3 @ X0 @ X1))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_150])).
% 5.26/1.29 thf(zip_derived_cl59, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 (~ (q1 @ X0)
% 5.26/1.29 | ~ (zip_tseitin_32 @ X1 @ X0 @ X2 @ X3)
% 5.26/1.29 | (zip_tseitin_33 @ X1 @ X0 @ X2 @ X3))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_152])).
% 5.26/1.29 thf(zip_derived_cl603, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (zip_tseitin_34 @ X1 @ X0)
% 5.26/1.29 | ~ (q1 @ X2)
% 5.26/1.29 | ~ (zip_tseitin_32 @ X3 @ X2 @ X1 @ X0))),
% 5.26/1.29 inference('s_sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl59])).
% 5.26/1.29 thf(zip_derived_cl58, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (zip_tseitin_32 @ X0 @ X1 @ X2 @ X3) | (p1 @ (f @ X0)))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_154])).
% 5.26/1.29 thf(zip_derived_cl1270, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 (~ (q1 @ X2) | (zip_tseitin_34 @ X1 @ X0) | (p1 @ (f @ X3)))),
% 5.26/1.29 inference('s_sup+', [status(thm)], [zip_derived_cl603, zip_derived_cl58])).
% 5.26/1.29 thf(zip_derived_cl1348, plain,
% 5.26/1.29 ((![X3 : $i]: (p1 @ (f @ X3))) <= ((![X3 : $i]: (p1 @ (f @ X3))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1270])).
% 5.26/1.29 thf('2', plain,
% 5.26/1.29 (~ (![X3 : $i]: (p1 @ (f @ X3))) |
% 5.26/1.29 ( (zip_tseitin_38 @ sk__45 @ sk__44)) |
% 5.26/1.29 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1557, zip_derived_cl1348])).
% 5.26/1.29 thf(zip_derived_cl1556, plain,
% 5.26/1.29 ((![X0 : $i]: ~ (p1 @ (f @ X0)))
% 5.26/1.29 <= ((![X2 : $i]: (q1 @ (f @ X2))) &
% 5.26/1.29 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1549, zip_derived_cl196])).
% 5.26/1.29 thf(zip_derived_cl1348, plain,
% 5.26/1.29 ((![X3 : $i]: (p1 @ (f @ X3))) <= ((![X3 : $i]: (p1 @ (f @ X3))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1270])).
% 5.26/1.29 thf('3', plain,
% 5.26/1.29 (~ (![X3 : $i]: (p1 @ (f @ X3))) |
% 5.26/1.29 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.29 ~ (![X2 : $i]: (q1 @ (f @ X2)))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1556, zip_derived_cl1348])).
% 5.26/1.29 thf(zip_derived_cl145, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]: ( (zip_tseitin_10 @ X0) | ~ (zip_tseitin_78 @ X1))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_58])).
% 5.26/1.29 thf('4', plain,
% 5.26/1.29 ((![X1 : $i]: ~ (zip_tseitin_78 @ X1)) |
% 5.26/1.29 (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl145])).
% 5.26/1.29 thf(zip_derived_cl151, plain,
% 5.26/1.29 (![X0 : $i]: ( (zip_tseitin_81 @ X0) | (zip_tseitin_78 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_52])).
% 5.26/1.29 thf(zip_derived_cl375, plain,
% 5.26/1.29 ((~ (zip_tseitin_81 @ sk__34)) <= (~ ( (zip_tseitin_81 @ sk__34)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.29 thf(zip_derived_cl744, plain,
% 5.26/1.29 (( (zip_tseitin_78 @ sk__34)) <= (~ ( (zip_tseitin_81 @ sk__34)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl375])).
% 5.26/1.29 thf(zip_derived_cl322, plain,
% 5.26/1.29 ((![X1 : $i]: ~ (zip_tseitin_78 @ X1))
% 5.26/1.29 <= ((![X1 : $i]: ~ (zip_tseitin_78 @ X1)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl145])).
% 5.26/1.29 thf('5', plain,
% 5.26/1.29 (( (zip_tseitin_81 @ sk__34)) | ~ (![X1 : $i]: ~ (zip_tseitin_78 @ X1))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl744, zip_derived_cl322])).
% 5.26/1.29 thf(zip_derived_cl134, plain,
% 5.26/1.29 (![X0 : $i]: ( (zip_tseitin_10 @ X0) | ~ (zip_tseitin_72))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_70])).
% 5.26/1.29 thf('6', plain,
% 5.26/1.29 (~ ( (zip_tseitin_72)) | (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl134])).
% 5.26/1.29 thf(zip_derived_cl167, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ( (zip_tseitin_91 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.26/1.29 | (zip_tseitin_87 @ X0 @ X3 @ X4 @ X5))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_32])).
% 5.26/1.29 thf(zip_derived_cl363, plain,
% 5.26/1.29 ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.29 thf(zip_derived_cl1064, plain,
% 5.26/1.29 ((![X0 : $i, X1 : $i, X4 : $i]: (zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl363])).
% 5.26/1.29 thf(zip_derived_cl159, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (zip_tseitin_86 @ X0) | ~ (zip_tseitin_87 @ X1 @ X2 @ X0 @ X3))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_40])).
% 5.26/1.29 thf(zip_derived_cl1155, plain,
% 5.26/1.29 ((![X0 : $i]: (zip_tseitin_86 @ X0))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1064, zip_derived_cl159])).
% 5.26/1.29 thf(zip_derived_cl156, plain,
% 5.26/1.29 (![X0 : $i]:
% 5.26/1.29 (~ (e @ X0) | (zip_tseitin_85 @ X0) | ~ (zip_tseitin_86 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_42])).
% 5.26/1.29 thf(zip_derived_cl1158, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (e @ X0) | (zip_tseitin_85 @ X0)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1155, zip_derived_cl156])).
% 5.26/1.29 thf(zip_derived_cl1064, plain,
% 5.26/1.29 ((![X0 : $i, X1 : $i, X4 : $i]: (zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl363])).
% 5.26/1.29 thf(zip_derived_cl161, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (zip_tseitin_82 @ X0 @ X1) | ~ (zip_tseitin_87 @ X0 @ X2 @ X3 @ X1))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_40])).
% 5.26/1.29 thf(zip_derived_cl1157, plain,
% 5.26/1.29 ((![X2 : $i]: (zip_tseitin_82 @ X2 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1064, zip_derived_cl161])).
% 5.26/1.29 thf(zip_derived_cl152, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]:
% 5.26/1.29 ( (p1 @ X0) | ~ (zip_tseitin_82 @ X0 @ X1) | ~ (s @ X1 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_50])).
% 5.26/1.29 thf(zip_derived_cl1169, plain,
% 5.26/1.29 ((![X0 : $i]: ( (p1 @ X0) | ~ (s @ sk__33 @ X0)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1157, zip_derived_cl152])).
% 5.26/1.29 thf(zip_derived_cl155, plain,
% 5.26/1.29 (![X0 : $i]: ( (s @ X0 @ (f @ X0)) | (g @ X0) | ~ (zip_tseitin_85 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_44])).
% 5.26/1.29 thf(zip_derived_cl1174, plain,
% 5.26/1.29 ((( (p1 @ (f @ sk__33)) | (g @ sk__33) | ~ (zip_tseitin_85 @ sk__33)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1169, zip_derived_cl155])).
% 5.26/1.29 thf(zip_derived_cl1064, plain,
% 5.26/1.29 ((![X0 : $i, X1 : $i, X4 : $i]: (zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl363])).
% 5.26/1.29 thf(zip_derived_cl158, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (e @ X0) | ~ (zip_tseitin_87 @ X1 @ X2 @ X3 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_40])).
% 5.26/1.29 thf(zip_derived_cl1154, plain,
% 5.26/1.29 (( (e @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1064, zip_derived_cl158])).
% 5.26/1.29 thf(zip_derived_cl1064, plain,
% 5.26/1.29 ((![X0 : $i, X1 : $i, X4 : $i]: (zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl363])).
% 5.26/1.29 thf(zip_derived_cl160, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (zip_tseitin_84 @ X0) | ~ (zip_tseitin_87 @ X1 @ X0 @ X2 @ X3))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_40])).
% 5.26/1.29 thf(zip_derived_cl1156, plain,
% 5.26/1.29 ((![X1 : $i]: (zip_tseitin_84 @ X1))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1064, zip_derived_cl160])).
% 5.26/1.29 thf(zip_derived_cl154, plain,
% 5.26/1.29 (![X0 : $i]:
% 5.26/1.29 (~ (e @ X0) | (zip_tseitin_83 @ X0) | ~ (zip_tseitin_84 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_46])).
% 5.26/1.29 thf(zip_derived_cl1159, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (e @ X0) | (zip_tseitin_83 @ X0)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1156, zip_derived_cl154])).
% 5.26/1.29 thf(zip_derived_cl166, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ( (zip_tseitin_91 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 5.26/1.29 | ~ (zip_tseitin_90 @ X1 @ X2))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_32])).
% 5.26/1.29 thf(zip_derived_cl363, plain,
% 5.26/1.29 ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.29 thf(zip_derived_cl1047, plain,
% 5.26/1.29 ((![X2 : $i, X3 : $i]: ~ (zip_tseitin_90 @ X3 @ X2))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl363])).
% 5.26/1.29 thf(zip_derived_cl165, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]:
% 5.26/1.29 ( (zip_tseitin_90 @ X0 @ X1) | ~ (zip_tseitin_88 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_34])).
% 5.26/1.29 thf(zip_derived_cl1050, plain,
% 5.26/1.29 ((![X1 : $i]: ~ (zip_tseitin_88 @ X1))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1047, zip_derived_cl165])).
% 5.26/1.29 thf(zip_derived_cl162, plain,
% 5.26/1.29 (![X0 : $i]: ( (zip_tseitin_88 @ X0) | ~ (c @ X0) | ~ (p1 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_38])).
% 5.26/1.29 thf(zip_derived_cl1055, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (c @ X0) | ~ (p1 @ X0)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1050, zip_derived_cl162])).
% 5.26/1.29 thf(zip_derived_cl153, plain,
% 5.26/1.29 (![X0 : $i]: ( (c @ (f @ X0)) | (g @ X0) | ~ (zip_tseitin_83 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_48])).
% 5.26/1.29 thf(zip_derived_cl1067, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (p1 @ (f @ X0)) | (g @ X0) | ~ (zip_tseitin_83 @ X0)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1055, zip_derived_cl153])).
% 5.26/1.29 thf(zip_derived_cl1168, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (e @ X0) | ~ (p1 @ (f @ X0)) | (g @ X0)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1159, zip_derived_cl1067])).
% 5.26/1.29 thf(zip_derived_cl1047, plain,
% 5.26/1.29 ((![X2 : $i, X3 : $i]: ~ (zip_tseitin_90 @ X3 @ X2))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl363])).
% 5.26/1.29 thf(zip_derived_cl164, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]:
% 5.26/1.29 ( (zip_tseitin_90 @ X0 @ X1) | ~ (zip_tseitin_89 @ X1))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_34])).
% 5.26/1.29 thf(zip_derived_cl1049, plain,
% 5.26/1.29 ((![X0 : $i]: ~ (zip_tseitin_89 @ X0))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1047, zip_derived_cl164])).
% 5.26/1.29 thf(zip_derived_cl163, plain,
% 5.26/1.29 (![X0 : $i]: ( (zip_tseitin_89 @ X0) | ~ (g @ X0) | ~ (p1 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_36])).
% 5.26/1.29 thf(zip_derived_cl1053, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (g @ X0) | ~ (p1 @ X0)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1049, zip_derived_cl163])).
% 5.26/1.29 thf(zip_derived_cl1176, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (p1 @ (f @ X0)) | ~ (e @ X0) | ~ (p1 @ X0)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1168, zip_derived_cl1053])).
% 5.26/1.29 thf(zip_derived_cl1178, plain,
% 5.26/1.29 (((~ (p1 @ (f @ sk__33)) | ~ (p1 @ sk__33)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1154, zip_derived_cl1176])).
% 5.26/1.29 thf(zip_derived_cl1064, plain,
% 5.26/1.29 ((![X0 : $i, X1 : $i, X4 : $i]: (zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl363])).
% 5.26/1.29 thf(zip_derived_cl157, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.29 ( (p1 @ X0) | ~ (zip_tseitin_87 @ X1 @ X2 @ X3 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_40])).
% 5.26/1.29 thf(zip_derived_cl1153, plain,
% 5.26/1.29 (( (p1 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1064, zip_derived_cl157])).
% 5.26/1.29 thf(zip_derived_cl1179, plain,
% 5.26/1.29 ((~ (p1 @ (f @ sk__33)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('demod', [status(thm)],
% 5.26/1.29 [zip_derived_cl1178, zip_derived_cl1153])).
% 5.26/1.29 thf(zip_derived_cl1195, plain,
% 5.26/1.29 ((( (g @ sk__33) | ~ (zip_tseitin_85 @ sk__33)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('demod', [status(thm)],
% 5.26/1.29 [zip_derived_cl1174, zip_derived_cl1179])).
% 5.26/1.29 thf(zip_derived_cl1196, plain,
% 5.26/1.29 ((~ (zip_tseitin_85 @ sk__33)) <= (~ ( (zip_tseitin_85 @ sk__33)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1195])).
% 5.26/1.29 thf(zip_derived_cl1199, plain,
% 5.26/1.29 ((~ (e @ sk__33))
% 5.26/1.29 <= (~ ( (zip_tseitin_85 @ sk__33)) &
% 5.26/1.29 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1158, zip_derived_cl1196])).
% 5.26/1.29 thf(zip_derived_cl1154, plain,
% 5.26/1.29 (( (e @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1064, zip_derived_cl158])).
% 5.26/1.29 thf('7', plain,
% 5.26/1.29 (( (zip_tseitin_85 @ sk__33)) |
% 5.26/1.29 ~
% 5.26/1.29 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33))),
% 5.26/1.29 inference('demod', [status(thm)],
% 5.26/1.29 [zip_derived_cl1199, zip_derived_cl1154])).
% 5.26/1.29 thf(zip_derived_cl1197, plain, (( (g @ sk__33)) <= (( (g @ sk__33)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1195])).
% 5.26/1.29 thf(zip_derived_cl1053, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (g @ X0) | ~ (p1 @ X0)))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup+', [status(thm)],
% 5.26/1.29 [zip_derived_cl1049, zip_derived_cl163])).
% 5.26/1.29 thf(zip_derived_cl1203, plain,
% 5.26/1.29 ((~ (p1 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)) &
% 5.26/1.29 ( (g @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1197, zip_derived_cl1053])).
% 5.26/1.29 thf(zip_derived_cl1153, plain,
% 5.26/1.29 (( (p1 @ sk__33))
% 5.26/1.29 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl1064, zip_derived_cl157])).
% 5.26/1.29 thf('8', plain,
% 5.26/1.29 (~
% 5.26/1.29 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)) |
% 5.26/1.29 ~ ( (g @ sk__33))),
% 5.26/1.29 inference('demod', [status(thm)],
% 5.26/1.29 [zip_derived_cl1203, zip_derived_cl1153])).
% 5.26/1.29 thf('9', plain,
% 5.26/1.29 (( (g @ sk__33)) |
% 5.26/1.29 ~
% 5.26/1.29 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.29 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)) |
% 5.26/1.29 ~ ( (zip_tseitin_85 @ sk__33))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1195])).
% 5.26/1.29 thf(zip_derived_cl55, plain, (( (zip_tseitin_30) | (p1 @ sk__8))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_158])).
% 5.26/1.29 thf(zip_derived_cl255, plain, (( (p1 @ sk__8)) <= (( (p1 @ sk__8)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl55])).
% 5.26/1.29 thf(zip_derived_cl42, plain, (![X0 : $i]: ( (zip_tseitin_24) | ~ (p1 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_170])).
% 5.26/1.29 thf(zip_derived_cl243, plain,
% 5.26/1.29 ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X0 : $i]: ~ (p1 @ X0)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl42])).
% 5.26/1.29 thf('10', plain, (~ (![X0 : $i]: ~ (p1 @ X0)) | ~ ( (p1 @ sk__8))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl243])).
% 5.26/1.29 thf(zip_derived_cl26, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | (p1 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.29 thf(zip_derived_cl28, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) | (q1 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_188])).
% 5.26/1.29 thf(zip_derived_cl30, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 ( (zip_tseitin_17 @ X0 @ X1) | ~ (zip_tseitin_16 @ X2 @ X0 @ X1))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_184])).
% 5.26/1.29 thf(zip_derived_cl29, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 (~ (zip_tseitin_15 @ X0 @ X1)
% 5.26/1.29 | ~ (zip_tseitin_14 @ X0 @ X2)
% 5.26/1.29 | (zip_tseitin_16 @ X0 @ X1 @ X2))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_186])).
% 5.26/1.29 thf(zip_derived_cl497, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 ( (zip_tseitin_17 @ X1 @ X0)
% 5.26/1.29 | ~ (zip_tseitin_15 @ X2 @ X1)
% 5.26/1.29 | ~ (zip_tseitin_14 @ X2 @ X0))),
% 5.26/1.29 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl29])).
% 5.26/1.29 thf(zip_derived_cl1234, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 ( (q1 @ X1)
% 5.26/1.29 | (zip_tseitin_17 @ X0 @ X2)
% 5.26/1.29 | ~ (zip_tseitin_14 @ X1 @ X2))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl497])).
% 5.26/1.29 thf(zip_derived_cl1615, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 ( (p1 @ X1) | (q1 @ X1) | (zip_tseitin_17 @ X2 @ X0))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl1234])).
% 5.26/1.29 thf(zip_derived_cl2090, plain,
% 5.26/1.29 ((![X1 : $i]: ( (p1 @ X1) | (q1 @ X1)))
% 5.26/1.29 <= ((![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl1615])).
% 5.26/1.29 thf(zip_derived_cl124, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 ( (zip_tseitin_65 @ X0 @ X1) | (zip_tseitin_15 @ X2 @ X2))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_84])).
% 5.26/1.29 thf(zip_derived_cl312, plain,
% 5.26/1.29 ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2))
% 5.26/1.29 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl124])).
% 5.26/1.29 thf(zip_derived_cl122, plain,
% 5.26/1.29 (![X0 : $i]: (~ (q1 @ X0) | (p1 @ X0) | ~ (zip_tseitin_15 @ X0 @ X0))),
% 5.26/1.29 inference('cnf', [status(esa)], [zf_stmt_86])).
% 5.26/1.29 thf(zip_derived_cl874, plain,
% 5.26/1.29 ((![X0 : $i]: (~ (q1 @ X0) | (p1 @ X0)))
% 5.26/1.29 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.29 inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl122])).
% 5.26/1.29 thf(zip_derived_cl2092, plain,
% 5.26/1.29 ((![X0 : $i]: ( (p1 @ X0) | (p1 @ X0)))
% 5.26/1.29 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)) &
% 5.26/1.29 (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))))),
% 5.26/1.29 inference('s_sup-', [status(thm)],
% 5.26/1.29 [zip_derived_cl2090, zip_derived_cl874])).
% 5.26/1.29 thf(zip_derived_cl2101, plain,
% 5.26/1.29 ((![X0 : $i]: (p1 @ X0))
% 5.26/1.29 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)) &
% 5.26/1.29 (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))))),
% 5.26/1.29 inference('simplify', [status(thm)], [zip_derived_cl2092])).
% 5.26/1.29 thf(zip_derived_cl312, plain,
% 5.26/1.29 ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2))
% 5.26/1.29 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.29 inference('split', [status(esa)], [zip_derived_cl124])).
% 5.26/1.29 thf(zip_derived_cl123, plain,
% 5.26/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.29 ( (zip_tseitin_65 @ X0 @ X1) | ~ (zip_tseitin_16 @ X2 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_84])).
% 5.26/1.30 thf(zip_derived_cl29, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (zip_tseitin_15 @ X0 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_14 @ X0 @ X2)
% 5.26/1.30 | (zip_tseitin_16 @ X0 @ X1 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_186])).
% 5.26/1.30 thf(zip_derived_cl893, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_65 @ X1 @ X0)
% 5.26/1.30 | ~ (zip_tseitin_15 @ X2 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_14 @ X2 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl29])).
% 5.26/1.30 thf(zip_derived_cl1368, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (zip_tseitin_65 @ X0 @ X1) | ~ (zip_tseitin_14 @ X0 @ X1)))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl893])).
% 5.26/1.30 thf(zip_derived_cl373, plain,
% 5.26/1.30 ((~ (zip_tseitin_65 @ sk__38 @ sk__37))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__38 @ sk__37)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl1369, plain,
% 5.26/1.30 ((~ (zip_tseitin_14 @ sk__38 @ sk__37))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__38 @ sk__37)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1368, zip_derived_cl373])).
% 5.26/1.30 thf(zip_derived_cl25, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | ~ (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl1417, plain,
% 5.26/1.30 ((~ (p1 @ sk__37))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__38 @ sk__37)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl1369, zip_derived_cl25])).
% 5.26/1.30 thf('11', plain,
% 5.26/1.30 (~ (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)) |
% 5.26/1.30 ~ (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))) |
% 5.26/1.30 ( (zip_tseitin_65 @ sk__38 @ sk__37))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl2101, zip_derived_cl1417])).
% 5.26/1.30 thf(zip_derived_cl53, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_29 @ X0 @ X1 @ X2) | (zip_tseitin_27 @ X0 @ X1 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_160])).
% 5.26/1.30 thf(zip_derived_cl368, plain,
% 5.26/1.30 ((~ (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl560, plain,
% 5.26/1.30 (( (zip_tseitin_27 @ sk__50 @ sk__49 @ sk__48))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl368])).
% 5.26/1.30 thf(zip_derived_cl48, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (r @ X0 @ X1) | ~ (zip_tseitin_27 @ X1 @ X0 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_164])).
% 5.26/1.30 thf(zip_derived_cl579, plain,
% 5.26/1.30 (( (r @ sk__49 @ sk__50))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl560, zip_derived_cl48])).
% 5.26/1.30 thf(zip_derived_cl50, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.26/1.30 ( (zip_tseitin_25 @ X0 @ X1) | ~ (zip_tseitin_27 @ X2 @ X3 @ X4))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_164])).
% 5.26/1.30 thf(zip_derived_cl250, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl50])).
% 5.26/1.30 thf(zip_derived_cl44, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (r @ X0 @ X1) | (q @ X0 @ X1) | ~ (zip_tseitin_25 @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_168])).
% 5.26/1.30 thf(zip_derived_cl537, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (~ (r @ X0 @ X1) | (q @ X0 @ X1)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl250, zip_derived_cl44])).
% 5.26/1.30 thf(zip_derived_cl583, plain,
% 5.26/1.30 (( (q @ sk__49 @ sk__50))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl579, zip_derived_cl537])).
% 5.26/1.30 thf(zip_derived_cl51, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (zip_tseitin_28 @ X0 @ X1) | ~ (p1 @ X1) | ~ (q @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_162])).
% 5.26/1.30 thf(zip_derived_cl52, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.26/1.30 ( (zip_tseitin_29 @ X0 @ X1 @ X2) | ~ (zip_tseitin_28 @ X3 @ X4))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_160])).
% 5.26/1.30 thf(zip_derived_cl251, plain,
% 5.26/1.30 ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4))
% 5.26/1.30 <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl52])).
% 5.26/1.30 thf(zip_derived_cl552, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (~ (q @ X0 @ X1) | ~ (p1 @ X0)))
% 5.26/1.30 <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl251])).
% 5.26/1.30 thf(zip_derived_cl595, plain,
% 5.26/1.30 ((~ (p1 @ sk__49))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)) &
% 5.26/1.30 (![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl583, zip_derived_cl552])).
% 5.26/1.30 thf(zip_derived_cl560, plain,
% 5.26/1.30 (( (zip_tseitin_27 @ sk__50 @ sk__49 @ sk__48))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl368])).
% 5.26/1.30 thf(zip_derived_cl47, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (s1 @ X0) | ~ (zip_tseitin_27 @ X1 @ X0 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_164])).
% 5.26/1.30 thf(zip_derived_cl578, plain,
% 5.26/1.30 (( (s1 @ sk__49)) <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl560, zip_derived_cl47])).
% 5.26/1.30 thf(zip_derived_cl49, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_26 @ X0) | ~ (zip_tseitin_27 @ X1 @ X2 @ X3))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_164])).
% 5.26/1.30 thf(zip_derived_cl248, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_26 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_26 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl49])).
% 5.26/1.30 thf(zip_derived_cl45, plain,
% 5.26/1.30 (![X0 : $i]: (~ (s1 @ X0) | (p1 @ X0) | ~ (zip_tseitin_26 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_166])).
% 5.26/1.30 thf(zip_derived_cl519, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (s1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_26 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl45])).
% 5.26/1.30 thf(zip_derived_cl582, plain,
% 5.26/1.30 (( (p1 @ sk__49))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) &
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_26 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl578, zip_derived_cl519])).
% 5.26/1.30 thf('12', plain,
% 5.26/1.30 (( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_26 @ X0)) |
% 5.26/1.30 ~ (![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl595, zip_derived_cl582])).
% 5.26/1.30 thf(zip_derived_cl53, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_29 @ X0 @ X1 @ X2) | (zip_tseitin_27 @ X0 @ X1 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_160])).
% 5.26/1.30 thf(zip_derived_cl367, plain,
% 5.26/1.30 ((~ (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl561, plain,
% 5.26/1.30 (( (zip_tseitin_27 @ sk__54 @ sk__53 @ sk__52))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl367])).
% 5.26/1.30 thf(zip_derived_cl48, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (r @ X0 @ X1) | ~ (zip_tseitin_27 @ X1 @ X0 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_164])).
% 5.26/1.30 thf(zip_derived_cl588, plain,
% 5.26/1.30 (( (r @ sk__53 @ sk__54))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl561, zip_derived_cl48])).
% 5.26/1.30 thf(zip_derived_cl537, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (~ (r @ X0 @ X1) | (q @ X0 @ X1)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl250, zip_derived_cl44])).
% 5.26/1.30 thf(zip_derived_cl592, plain,
% 5.26/1.30 (( (q @ sk__53 @ sk__54))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl588, zip_derived_cl537])).
% 5.26/1.30 thf(zip_derived_cl552, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (~ (q @ X0 @ X1) | ~ (p1 @ X0)))
% 5.26/1.30 <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl251])).
% 5.26/1.30 thf(zip_derived_cl596, plain,
% 5.26/1.30 ((~ (p1 @ sk__53))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)) &
% 5.26/1.30 (![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl592, zip_derived_cl552])).
% 5.26/1.30 thf(zip_derived_cl561, plain,
% 5.26/1.30 (( (zip_tseitin_27 @ sk__54 @ sk__53 @ sk__52))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl367])).
% 5.26/1.30 thf(zip_derived_cl47, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (s1 @ X0) | ~ (zip_tseitin_27 @ X1 @ X0 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_164])).
% 5.26/1.30 thf(zip_derived_cl587, plain,
% 5.26/1.30 (( (s1 @ sk__53)) <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl561, zip_derived_cl47])).
% 5.26/1.30 thf(zip_derived_cl519, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (s1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_26 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl45])).
% 5.26/1.30 thf(zip_derived_cl591, plain,
% 5.26/1.30 (( (p1 @ sk__53))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) &
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_26 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl587, zip_derived_cl519])).
% 5.26/1.30 thf('13', plain,
% 5.26/1.30 (( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_26 @ X0)) |
% 5.26/1.30 ~ (![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl591])).
% 5.26/1.30 thf(zip_derived_cl252, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_29 @ X0 @ X1 @ X2))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_29 @ X0 @ X1 @ X2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl52])).
% 5.26/1.30 thf(zip_derived_cl368, plain,
% 5.26/1.30 ((~ (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('14', plain,
% 5.26/1.30 (( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_29 @ X0 @ X1 @ X2))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl252, zip_derived_cl368])).
% 5.26/1.30 thf(zip_derived_cl26, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl28, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) | (q1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_188])).
% 5.26/1.30 thf(zip_derived_cl893, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_65 @ X1 @ X0)
% 5.26/1.30 | ~ (zip_tseitin_15 @ X2 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_14 @ X2 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl29])).
% 5.26/1.30 thf(zip_derived_cl1367, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (q1 @ X1)
% 5.26/1.30 | (zip_tseitin_65 @ X0 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_14 @ X1 @ X2))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl893])).
% 5.26/1.30 thf(zip_derived_cl1866, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (p1 @ X1) | (q1 @ X1) | (zip_tseitin_65 @ X2 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl1367])).
% 5.26/1.30 thf('15', plain,
% 5.26/1.30 ((![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))) |
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_65 @ X0 @ X1))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1866])).
% 5.26/1.30 thf(zip_derived_cl2101, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)) &
% 5.26/1.30 (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl2092])).
% 5.26/1.30 thf(zip_derived_cl1368, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (zip_tseitin_65 @ X0 @ X1) | ~ (zip_tseitin_14 @ X0 @ X1)))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl893])).
% 5.26/1.30 thf(zip_derived_cl372, plain,
% 5.26/1.30 ((~ (zip_tseitin_65 @ sk__40 @ sk__39))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__40 @ sk__39)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl1370, plain,
% 5.26/1.30 ((~ (zip_tseitin_14 @ sk__40 @ sk__39))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__40 @ sk__39)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1368, zip_derived_cl372])).
% 5.26/1.30 thf(zip_derived_cl25, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | ~ (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl1431, plain,
% 5.26/1.30 ((~ (p1 @ sk__39))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__40 @ sk__39)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl1370, zip_derived_cl25])).
% 5.26/1.30 thf('16', plain,
% 5.26/1.30 (( (zip_tseitin_65 @ sk__40 @ sk__39)) |
% 5.26/1.30 ~ (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))) |
% 5.26/1.30 ~ (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl2101, zip_derived_cl1431])).
% 5.26/1.30 thf(zip_derived_cl180, plain,
% 5.26/1.30 (![X0 : $i]:
% 5.26/1.30 ( (zip_tseitin_97) | ~ (zip_tseitin_63 @ (sk__24 @ X0) @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_20])).
% 5.26/1.30 thf('17', plain,
% 5.26/1.30 (( (zip_tseitin_97)) |
% 5.26/1.30 (![X0 : $i]: ~ (zip_tseitin_63 @ (sk__24 @ X0) @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl180])).
% 5.26/1.30 thf(zip_derived_cl119, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_63 @ X0 @ X1) | ~ (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_90])).
% 5.26/1.30 thf(zip_derived_cl334, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (zip_tseitin_63 @ (sk__24 @ X0) @ X0))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_63 @ (sk__24 @ X0) @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl180])).
% 5.26/1.30 thf(zip_derived_cl851, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ (sk__24 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_63 @ (sk__24 @ X0) @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl334])).
% 5.26/1.30 thf(zip_derived_cl21, plain, (![X0 : $i]: ( (zip_tseitin_11) | (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_196])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('18', plain,
% 5.26/1.30 (~ (![X0 : $i]: ~ (zip_tseitin_63 @ (sk__24 @ X0) @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl851, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl109, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_58 @ X0) | ~ (q1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_100])).
% 5.26/1.30 thf(zip_derived_cl371, plain,
% 5.26/1.30 ((~ (zip_tseitin_58 @ sk__41)) <= (~ ( (zip_tseitin_58 @ sk__41)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl701, plain,
% 5.26/1.30 ((~ (q1 @ sk__41)) <= (~ ( (zip_tseitin_58 @ sk__41)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl371])).
% 5.26/1.30 thf(zip_derived_cl108, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_55 @ X0) | ~ (zip_tseitin_57))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_102])).
% 5.26/1.30 thf(zip_derived_cl296, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_55 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_55 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl108])).
% 5.26/1.30 thf(zip_derived_cl104, plain,
% 5.26/1.30 (![X0 : $i]: ( (q1 @ X0) | ~ (zip_tseitin_55 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_106])).
% 5.26/1.30 thf(zip_derived_cl611, plain,
% 5.26/1.30 ((![X0 : $i]: (q1 @ X0)) <= ((![X0 : $i]: (zip_tseitin_55 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl296, zip_derived_cl104])).
% 5.26/1.30 thf('19', plain,
% 5.26/1.30 (~ (![X0 : $i]: (zip_tseitin_55 @ X0)) | ( (zip_tseitin_58 @ sk__41))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl701, zip_derived_cl611])).
% 5.26/1.30 thf(zip_derived_cl120, plain,
% 5.26/1.30 (![X0 : $i]:
% 5.26/1.30 ( (zip_tseitin_64) | ~ (zip_tseitin_63 @ (sk__17 @ X0) @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_88])).
% 5.26/1.30 thf('20', plain,
% 5.26/1.30 (( (zip_tseitin_64)) |
% 5.26/1.30 (![X0 : $i]: ~ (zip_tseitin_63 @ (sk__17 @ X0) @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl120])).
% 5.26/1.30 thf(zip_derived_cl119, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_63 @ X0 @ X1) | ~ (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_90])).
% 5.26/1.30 thf(zip_derived_cl308, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (zip_tseitin_63 @ (sk__17 @ X0) @ X0))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_63 @ (sk__17 @ X0) @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl120])).
% 5.26/1.30 thf(zip_derived_cl850, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ (sk__17 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_63 @ (sk__17 @ X0) @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl308])).
% 5.26/1.30 thf(zip_derived_cl121, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_64) | (zip_tseitin_62 @ (sk__18 @ X0) @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_88])).
% 5.26/1.30 thf(zip_derived_cl310, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl121])).
% 5.26/1.30 thf(zip_derived_cl117, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_62 @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_92])).
% 5.26/1.30 thf(zip_derived_cl717, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl117])).
% 5.26/1.30 thf('21', plain,
% 5.26/1.30 (~ (![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: ~ (zip_tseitin_63 @ (sk__17 @ X0) @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl850, zip_derived_cl717])).
% 5.26/1.30 thf(zip_derived_cl92, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (p1 @ X0) | ~ (p1 @ X1) | (zip_tseitin_48 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_122])).
% 5.26/1.30 thf(zip_derived_cl93, plain,
% 5.26/1.30 (( (zip_tseitin_49) | ~ (zip_tseitin_48 @ sk__14 @ sk__13))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_120])).
% 5.26/1.30 thf(zip_derived_cl279, plain,
% 5.26/1.30 ((~ (zip_tseitin_48 @ sk__14 @ sk__13))
% 5.26/1.30 <= (~ ( (zip_tseitin_48 @ sk__14 @ sk__13)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl93])).
% 5.26/1.30 thf(zip_derived_cl782, plain,
% 5.26/1.30 (((~ (p1 @ sk__13) | ~ (p1 @ sk__14)))
% 5.26/1.30 <= (~ ( (zip_tseitin_48 @ sk__14 @ sk__13)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl279])).
% 5.26/1.30 thf(zip_derived_cl785, plain, ((~ (p1 @ sk__14)) <= (~ ( (p1 @ sk__14)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl782])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('22', plain, (( (p1 @ sk__14)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl785, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl784, plain, ((~ (p1 @ sk__13)) <= (~ ( (p1 @ sk__13)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl782])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('23', plain, (( (p1 @ sk__13)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl784, zip_derived_cl214])).
% 5.26/1.30 thf('24', plain,
% 5.26/1.30 (( (zip_tseitin_49)) | ~ ( (zip_tseitin_48 @ sk__14 @ sk__13))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl93])).
% 5.26/1.30 thf('25', plain,
% 5.26/1.30 (( (zip_tseitin_48 @ sk__14 @ sk__13)) | ~ ( (p1 @ sk__14)) |
% 5.26/1.30 ~ ( (p1 @ sk__13))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl782])).
% 5.26/1.30 thf('26', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)) |
% 5.26/1.30 (![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_27 @ X1 @ X2 @ X3))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl50])).
% 5.26/1.30 thf('27', plain,
% 5.26/1.30 ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)) |
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_29 @ X0 @ X1 @ X2))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl52])).
% 5.26/1.30 thf(zip_derived_cl252, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_29 @ X0 @ X1 @ X2))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_29 @ X0 @ X1 @ X2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl52])).
% 5.26/1.30 thf(zip_derived_cl367, plain,
% 5.26/1.30 ((~ (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('28', plain,
% 5.26/1.30 (( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_29 @ X0 @ X1 @ X2))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl252, zip_derived_cl367])).
% 5.26/1.30 thf(zip_derived_cl596, plain,
% 5.26/1.30 ((~ (p1 @ sk__53))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)) &
% 5.26/1.30 (![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl592, zip_derived_cl552])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('29', plain,
% 5.26/1.30 (~ (![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)) |
% 5.26/1.30 ~ (![X0 : $i]: (p1 @ X0)) |
% 5.26/1.30 ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl25, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | ~ (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl27, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) | ~ (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_188])).
% 5.26/1.30 thf(zip_derived_cl893, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_65 @ X1 @ X0)
% 5.26/1.30 | ~ (zip_tseitin_15 @ X2 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_14 @ X2 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl29])).
% 5.26/1.30 thf(zip_derived_cl1366, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (p1 @ X0)
% 5.26/1.30 | (zip_tseitin_65 @ X0 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_14 @ X1 @ X2))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl893])).
% 5.26/1.30 thf(zip_derived_cl1859, plain,
% 5.26/1.30 (![X0 : $i, X2 : $i]:
% 5.26/1.30 (~ (p1 @ X0) | ~ (p1 @ X2) | (zip_tseitin_65 @ X2 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl1366])).
% 5.26/1.30 thf(zip_derived_cl373, plain,
% 5.26/1.30 ((~ (zip_tseitin_65 @ sk__38 @ sk__37))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__38 @ sk__37)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl2614, plain,
% 5.26/1.30 (((~ (p1 @ sk__38) | ~ (p1 @ sk__37)))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__38 @ sk__37)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1859, zip_derived_cl373])).
% 5.26/1.30 thf('30', plain,
% 5.26/1.30 (( (zip_tseitin_65 @ sk__38 @ sk__37)) | ~ ( (p1 @ sk__38)) |
% 5.26/1.30 ~ ( (p1 @ sk__37))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl2614])).
% 5.26/1.30 thf(zip_derived_cl54, plain, (![X0 : $i]: ( (zip_tseitin_30) | ~ (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_158])).
% 5.26/1.30 thf('31', plain, (( (zip_tseitin_30)) | (![X0 : $i]: ~ (p1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl54])).
% 5.26/1.30 thf(zip_derived_cl2616, plain, ((~ (p1 @ sk__38)) <= (~ ( (p1 @ sk__38)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl2614])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('32', plain, (( (p1 @ sk__38)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl2616, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl23, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_12) | (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_194])).
% 5.26/1.30 thf(zip_derived_cl218, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_10 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl23])).
% 5.26/1.30 thf(zip_derived_cl19, plain,
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | (q1 @ X0) | ~ (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_198])).
% 5.26/1.30 thf(zip_derived_cl487, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | (q1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl19])).
% 5.26/1.30 thf(zip_derived_cl1581, plain,
% 5.26/1.30 ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3)))
% 5.26/1.30 <= ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1224])).
% 5.26/1.30 thf(zip_derived_cl0, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.26/1.30 thf(zip_derived_cl1583, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (q1 @ X0) | ~ (p1 @ X0)))
% 5.26/1.30 <= ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl1581, zip_derived_cl0])).
% 5.26/1.30 thf(zip_derived_cl1593, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | ~ (p1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl487, zip_derived_cl1583])).
% 5.26/1.30 thf(zip_derived_cl1599, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1593])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('33', plain,
% 5.26/1.30 (~ (![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1599, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl2617, plain, ((~ (p1 @ sk__37)) <= (~ ( (p1 @ sk__37)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl2614])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('34', plain, (( (p1 @ sk__37)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl2617, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl1179, plain,
% 5.26/1.30 ((~ (p1 @ (f @ sk__33)))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.30 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.30 inference('demod', [status(thm)],
% 5.26/1.30 [zip_derived_cl1178, zip_derived_cl1153])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('35', plain,
% 5.26/1.30 (~
% 5.26/1.30 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.30 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)) |
% 5.26/1.30 ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1179, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl595, plain,
% 5.26/1.30 ((~ (p1 @ sk__49))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)) &
% 5.26/1.30 (![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl583, zip_derived_cl552])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('36', plain,
% 5.26/1.30 (~ (![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_25 @ X0 @ X1)) |
% 5.26/1.30 ~ (![X0 : $i]: (p1 @ X0)) |
% 5.26/1.30 ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl595, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl404, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (r1 @ X0) | ~ (r1 @ X1) | (zip_tseitin_2 @ X2 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 5.26/1.30 thf(zip_derived_cl603, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_34 @ X1 @ X0)
% 5.26/1.30 | ~ (q1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_32 @ X3 @ X2 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl59])).
% 5.26/1.30 thf(zip_derived_cl57, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_32 @ X0 @ X1 @ X2 @ X3)
% 5.26/1.30 | ~ (zip_tseitin_31 @ X0 @ X1 @ X2 @ X3))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_154])).
% 5.26/1.30 thf(zip_derived_cl56, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 (~ (p1 @ X0)
% 5.26/1.30 | ~ (zip_tseitin_2 @ X1 @ X2 @ X3)
% 5.26/1.30 | (zip_tseitin_31 @ X1 @ X0 @ X3 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_156])).
% 5.26/1.30 thf(zip_derived_cl575, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_32 @ X3 @ X2 @ X1 @ X0)
% 5.26/1.30 | ~ (p1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_2 @ X3 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl56])).
% 5.26/1.30 thf(zip_derived_cl1271, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 (~ (q1 @ X2)
% 5.26/1.30 | (zip_tseitin_34 @ X1 @ X0)
% 5.26/1.30 | ~ (p1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_2 @ X3 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl603, zip_derived_cl575])).
% 5.26/1.30 thf(zip_derived_cl1616, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1271])).
% 5.26/1.30 thf(zip_derived_cl1619, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (r1 @ X1) | ~ (r1 @ X0) | (zip_tseitin_34 @ X0 @ X1)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl404, zip_derived_cl1616])).
% 5.26/1.30 thf(zip_derived_cl369, plain,
% 5.26/1.30 ((~ (zip_tseitin_34 @ sk__47 @ sk__46))
% 5.26/1.30 <= (~ ( (zip_tseitin_34 @ sk__47 @ sk__46)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl1620, plain,
% 5.26/1.30 (((~ (r1 @ sk__47) | ~ (r1 @ sk__46)))
% 5.26/1.30 <= (~ ( (zip_tseitin_34 @ sk__47 @ sk__46)) &
% 5.26/1.30 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1619, zip_derived_cl369])).
% 5.26/1.30 thf(zip_derived_cl1868, plain, ((~ (r1 @ sk__46)) <= (~ ( (r1 @ sk__46)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1620])).
% 5.26/1.30 thf(zip_derived_cl1548, plain,
% 5.26/1.30 ((![X1 : $i]: (r1 @ X1)) <= ((![X1 : $i]: (r1 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.30 thf('37', plain, (( (r1 @ sk__46)) | ~ (![X1 : $i]: (r1 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1868, zip_derived_cl1548])).
% 5.26/1.30 thf(zip_derived_cl1867, plain, ((~ (r1 @ sk__47)) <= (~ ( (r1 @ sk__47)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1620])).
% 5.26/1.30 thf(zip_derived_cl1548, plain,
% 5.26/1.30 ((![X1 : $i]: (r1 @ X1)) <= ((![X1 : $i]: (r1 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.30 thf('38', plain, (( (r1 @ sk__47)) | ~ (![X1 : $i]: (r1 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1867, zip_derived_cl1548])).
% 5.26/1.30 thf(zip_derived_cl4, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_2 @ X0 @ X1 @ X2) | (r1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.26/1.30 thf(zip_derived_cl1616, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1271])).
% 5.26/1.30 thf(zip_derived_cl1618, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (r1 @ X2) | (zip_tseitin_34 @ X0 @ X1)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1616])).
% 5.26/1.30 thf('39', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_34 @ X0 @ X1)) |
% 5.26/1.30 (![X1 : $i]: (r1 @ X1)) |
% 5.26/1.30 ~
% 5.26/1.30 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1618])).
% 5.26/1.30 thf('40', plain,
% 5.26/1.30 (( (zip_tseitin_34 @ sk__47 @ sk__46)) |
% 5.26/1.30 ~
% 5.26/1.30 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0))) |
% 5.26/1.30 ~ ( (r1 @ sk__46)) | ~ ( (r1 @ sk__47))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1620])).
% 5.26/1.30 thf(zip_derived_cl1599, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1593])).
% 5.26/1.30 thf(zip_derived_cl1348, plain,
% 5.26/1.30 ((![X3 : $i]: (p1 @ (f @ X3))) <= ((![X3 : $i]: (p1 @ (f @ X3))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1270])).
% 5.26/1.30 thf('41', plain,
% 5.26/1.30 (~ (![X3 : $i]: (p1 @ (f @ X3))) |
% 5.26/1.30 ~ (![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1599, zip_derived_cl1348])).
% 5.26/1.30 thf('42', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_34 @ X1 @ X0))) |
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1271])).
% 5.26/1.30 thf(zip_derived_cl125, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_66 @ X0 @ X1) | ~ (r1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_82])).
% 5.26/1.30 thf(zip_derived_cl132, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (zip_tseitin_70 @ X0) | (zip_tseitin_67 @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_74])).
% 5.26/1.30 thf(zip_derived_cl127, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (p @ (f @ X0) @ X0)
% 5.26/1.30 | ~ (zip_tseitin_67 @ X0 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_66 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_80])).
% 5.26/1.30 thf(zip_derived_cl899, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (zip_tseitin_70 @ X0)
% 5.26/1.30 | (p @ (f @ X1) @ X1)
% 5.26/1.30 | ~ (zip_tseitin_66 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl127])).
% 5.26/1.30 thf(zip_derived_cl1429, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (r1 @ X1) | (zip_tseitin_70 @ X0) | (p @ (f @ X1) @ X1))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl899])).
% 5.26/1.30 thf(zip_derived_cl1880, plain,
% 5.26/1.30 ((![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1)))
% 5.26/1.30 <= ((![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1429])).
% 5.26/1.30 thf(zip_derived_cl131, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_70 @ X0) | ~ (zip_tseitin_69 @ X1 @ X2 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_74])).
% 5.26/1.30 thf(zip_derived_cl130, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (p @ X0 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_68 @ X1 @ X0 @ X2)
% 5.26/1.30 | (zip_tseitin_69 @ X1 @ X0 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_76])).
% 5.26/1.30 thf(zip_derived_cl928, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_70 @ X0)
% 5.26/1.30 | ~ (p @ X1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_68 @ X2 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl130])).
% 5.26/1.30 thf(zip_derived_cl128, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_68 @ X0 @ X1 @ X2) | ~ (q @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_78])).
% 5.26/1.30 thf(zip_derived_cl1443, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (p @ X1 @ X2) | (zip_tseitin_70 @ X0) | ~ (q @ X1 @ X2))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl128])).
% 5.26/1.30 thf(zip_derived_cl1896, plain,
% 5.26/1.30 ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2)))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1443])).
% 5.26/1.30 thf(zip_derived_cl129, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_68 @ X0 @ X1 @ X2) | (q @ (f @ X2) @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_78])).
% 5.26/1.30 thf(zip_derived_cl1898, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (p @ (f @ X0) @ X0) | (zip_tseitin_68 @ X2 @ X1 @ X0)))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1896, zip_derived_cl129])).
% 5.26/1.30 thf(zip_derived_cl1905, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (r1 @ X0) | (zip_tseitin_68 @ X2 @ X1 @ X0)))
% 5.26/1.30 <= ((![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1))) &
% 5.26/1.30 (![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1880, zip_derived_cl1898])).
% 5.26/1.30 thf(zip_derived_cl928, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_70 @ X0)
% 5.26/1.30 | ~ (p @ X1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_68 @ X2 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl130])).
% 5.26/1.30 thf(zip_derived_cl2026, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (r1 @ X0) | (zip_tseitin_70 @ X0) | ~ (p @ X1 @ X2)))
% 5.26/1.30 <= ((![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1))) &
% 5.26/1.30 (![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1905, zip_derived_cl928])).
% 5.26/1.30 thf('43', plain,
% 5.26/1.30 ((![X0 : $i]: (~ (r1 @ X0) | (zip_tseitin_70 @ X0))) |
% 5.26/1.30 ~ (![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))) |
% 5.26/1.30 ~ (![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1))) |
% 5.26/1.30 (![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl2026])).
% 5.26/1.30 thf(zip_derived_cl126, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_66 @ X0 @ X1) | (r1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_82])).
% 5.26/1.30 thf(zip_derived_cl899, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (zip_tseitin_70 @ X0)
% 5.26/1.30 | (p @ (f @ X1) @ X1)
% 5.26/1.30 | ~ (zip_tseitin_66 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl127])).
% 5.26/1.30 thf(zip_derived_cl1430, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (r1 @ X0) | (zip_tseitin_70 @ X0) | (p @ (f @ X1) @ X1))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl899])).
% 5.26/1.30 thf(zip_derived_cl1890, plain,
% 5.26/1.30 ((![X1 : $i]: (p @ (f @ X1) @ X1))
% 5.26/1.30 <= ((![X1 : $i]: (p @ (f @ X1) @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1430])).
% 5.26/1.30 thf(zip_derived_cl1898, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (p @ (f @ X0) @ X0) | (zip_tseitin_68 @ X2 @ X1 @ X0)))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1896, zip_derived_cl129])).
% 5.26/1.30 thf(zip_derived_cl1906, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_68 @ X2 @ X1 @ X0))
% 5.26/1.30 <= ((![X1 : $i]: (p @ (f @ X1) @ X1)) &
% 5.26/1.30 (![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1890, zip_derived_cl1898])).
% 5.26/1.30 thf(zip_derived_cl928, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_70 @ X0)
% 5.26/1.30 | ~ (p @ X1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_68 @ X2 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl130])).
% 5.26/1.30 thf(zip_derived_cl2023, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_70 @ X0) | ~ (p @ X1 @ X2)))
% 5.26/1.30 <= ((![X1 : $i]: (p @ (f @ X1) @ X1)) &
% 5.26/1.30 (![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1906, zip_derived_cl928])).
% 5.26/1.30 thf('44', plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_70 @ X0)) |
% 5.26/1.30 ~ (![X1 : $i]: (p @ (f @ X1) @ X1)) |
% 5.26/1.30 (![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)) |
% 5.26/1.30 ~ (![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl2023])).
% 5.26/1.30 thf(zip_derived_cl1891, plain,
% 5.26/1.30 ((![X0 : $i]: ( (r1 @ X0) | (zip_tseitin_70 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: ( (r1 @ X0) | (zip_tseitin_70 @ X0))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1430])).
% 5.26/1.30 thf(zip_derived_cl374, plain,
% 5.26/1.30 ((~ (zip_tseitin_70 @ sk__36)) <= (~ ( (zip_tseitin_70 @ sk__36)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl1895, plain,
% 5.26/1.30 (( (r1 @ sk__36))
% 5.26/1.30 <= (~ ( (zip_tseitin_70 @ sk__36)) &
% 5.26/1.30 (![X0 : $i]: ( (r1 @ X0) | (zip_tseitin_70 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1891, zip_derived_cl374])).
% 5.26/1.30 thf(zip_derived_cl1880, plain,
% 5.26/1.30 ((![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1)))
% 5.26/1.30 <= ((![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1429])).
% 5.26/1.30 thf(zip_derived_cl928, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_70 @ X0)
% 5.26/1.30 | ~ (p @ X1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_68 @ X2 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl130])).
% 5.26/1.30 thf(zip_derived_cl129, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_68 @ X0 @ X1 @ X2) | (q @ (f @ X2) @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_78])).
% 5.26/1.30 thf(zip_derived_cl552, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (~ (q @ X0 @ X1) | ~ (p1 @ X0)))
% 5.26/1.30 <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl251])).
% 5.26/1.30 thf(zip_derived_cl910, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_68 @ X2 @ X1 @ X0) | ~ (p1 @ (f @ X0))))
% 5.26/1.30 <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl552])).
% 5.26/1.30 thf(zip_derived_cl1445, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (p @ X1 @ X2) | (zip_tseitin_70 @ X0) | ~ (p1 @ (f @ X0))))
% 5.26/1.30 <= ((![X3 : $i, X4 : $i]: ~ (zip_tseitin_28 @ X3 @ X4)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl910])).
% 5.26/1.30 thf(zip_derived_cl1449, plain,
% 5.26/1.30 ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1445])).
% 5.26/1.30 thf(zip_derived_cl1883, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (r1 @ X0))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)) &
% 5.26/1.30 (![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1880, zip_derived_cl1449])).
% 5.26/1.30 thf('45', plain,
% 5.26/1.30 (( (zip_tseitin_70 @ sk__36)) |
% 5.26/1.30 ~ (![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1))) |
% 5.26/1.30 ~ (![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)) |
% 5.26/1.30 ~ (![X0 : $i]: ( (r1 @ X0) | (zip_tseitin_70 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1895, zip_derived_cl1883])).
% 5.26/1.30 thf(zip_derived_cl1890, plain,
% 5.26/1.30 ((![X1 : $i]: (p @ (f @ X1) @ X1))
% 5.26/1.30 <= ((![X1 : $i]: (p @ (f @ X1) @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1430])).
% 5.26/1.30 thf(zip_derived_cl1449, plain,
% 5.26/1.30 ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1445])).
% 5.26/1.30 thf('46', plain,
% 5.26/1.30 (~ (![X1 : $i, X2 : $i]: ~ (p @ X1 @ X2)) |
% 5.26/1.30 ~ (![X1 : $i]: (p @ (f @ X1) @ X1))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1890, zip_derived_cl1449])).
% 5.26/1.30 thf('47', plain,
% 5.26/1.30 ((![X0 : $i]: ( (r1 @ X0) | (zip_tseitin_70 @ X0))) |
% 5.26/1.30 (![X1 : $i]: (p @ (f @ X1) @ X1))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1430])).
% 5.26/1.30 thf('48', plain,
% 5.26/1.30 ((![X1 : $i, X2 : $i]: (~ (p @ X1 @ X2) | ~ (q @ X1 @ X2))) |
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_70 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1443])).
% 5.26/1.30 thf('49', plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_70 @ X0)) |
% 5.26/1.30 (![X1 : $i]: (~ (r1 @ X1) | (p @ (f @ X1) @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1429])).
% 5.26/1.30 thf(zip_derived_cl1881, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_70 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_70 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1429])).
% 5.26/1.30 thf(zip_derived_cl374, plain,
% 5.26/1.30 ((~ (zip_tseitin_70 @ sk__36)) <= (~ ( (zip_tseitin_70 @ sk__36)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('50', plain,
% 5.26/1.30 (( (zip_tseitin_70 @ sk__36)) | ~ (![X0 : $i]: (zip_tseitin_70 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1881, zip_derived_cl374])).
% 5.26/1.30 thf(zip_derived_cl2028, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (r1 @ X0) | (zip_tseitin_70 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (~ (r1 @ X0) | (zip_tseitin_70 @ X0))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl2026])).
% 5.26/1.30 thf(zip_derived_cl374, plain,
% 5.26/1.30 ((~ (zip_tseitin_70 @ sk__36)) <= (~ ( (zip_tseitin_70 @ sk__36)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl2029, plain,
% 5.26/1.30 ((~ (r1 @ sk__36))
% 5.26/1.30 <= (~ ( (zip_tseitin_70 @ sk__36)) &
% 5.26/1.30 (![X0 : $i]: (~ (r1 @ X0) | (zip_tseitin_70 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl2028, zip_derived_cl374])).
% 5.26/1.30 thf(zip_derived_cl1895, plain,
% 5.26/1.30 (( (r1 @ sk__36))
% 5.26/1.30 <= (~ ( (zip_tseitin_70 @ sk__36)) &
% 5.26/1.30 (![X0 : $i]: ( (r1 @ X0) | (zip_tseitin_70 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1891, zip_derived_cl374])).
% 5.26/1.30 thf('51', plain,
% 5.26/1.30 (( (zip_tseitin_70 @ sk__36)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (r1 @ X0) | (zip_tseitin_70 @ X0))) |
% 5.26/1.30 ~ (![X0 : $i]: ( (r1 @ X0) | (zip_tseitin_70 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl2029, zip_derived_cl1895])).
% 5.26/1.30 thf(zip_derived_cl33, plain, (![X0 : $i]: ( (zip_tseitin_19) | ~ (b @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_180])).
% 5.26/1.30 thf('52', plain, ((![X0 : $i]: ~ (b @ X0)) | ( (zip_tseitin_19))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl33])).
% 5.26/1.30 thf(zip_derived_cl34, plain, (![X0 : $i]: ( (zip_tseitin_19) | (a1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_180])).
% 5.26/1.30 thf('53', plain, (( (zip_tseitin_19)) | (![X0 : $i]: (a1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl34])).
% 5.26/1.30 thf(zip_derived_cl36, plain,
% 5.26/1.30 (( (zip_tseitin_20) | (zip_tseitin_18 @ sk__1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_178])).
% 5.26/1.30 thf(zip_derived_cl228, plain,
% 5.26/1.30 (( (zip_tseitin_18 @ sk__1)) <= (( (zip_tseitin_18 @ sk__1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl36])).
% 5.26/1.30 thf(zip_derived_cl32, plain,
% 5.26/1.30 (![X0 : $i]: (~ (a1 @ X0) | (b @ X0) | ~ (zip_tseitin_18 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_182])).
% 5.26/1.30 thf(zip_derived_cl512, plain,
% 5.26/1.30 (((~ (a1 @ sk__1) | (b @ sk__1))) <= (( (zip_tseitin_18 @ sk__1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl228, zip_derived_cl32])).
% 5.26/1.30 thf('54', plain,
% 5.26/1.30 (~ ( (zip_tseitin_18 @ sk__1)) | ~ ( (a1 @ sk__1)) | ( (b @ sk__1))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl512])).
% 5.26/1.30 thf('55', plain, (( (zip_tseitin_20)) | ( (zip_tseitin_18 @ sk__1))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl36])).
% 5.26/1.30 thf(zip_derived_cl566, plain, ((~ (a1 @ sk__1)) <= (~ ( (a1 @ sk__1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl512])).
% 5.26/1.30 thf(zip_derived_cl224, plain,
% 5.26/1.30 ((![X0 : $i]: (a1 @ X0)) <= ((![X0 : $i]: (a1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl34])).
% 5.26/1.30 thf('56', plain, (( (a1 @ sk__1)) | ~ (![X0 : $i]: (a1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl566, zip_derived_cl224])).
% 5.26/1.30 thf(zip_derived_cl35, plain, (( (zip_tseitin_20) | ~ (zip_tseitin_19))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_178])).
% 5.26/1.30 thf('57', plain, (( (zip_tseitin_20)) | ~ ( (zip_tseitin_19))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl35])).
% 5.26/1.30 thf(zip_derived_cl565, plain, (( (b @ sk__1)) <= (( (b @ sk__1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl512])).
% 5.26/1.30 thf(zip_derived_cl222, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (b @ X0)) <= ((![X0 : $i]: ~ (b @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl33])).
% 5.26/1.30 thf('58', plain, (~ ( (b @ sk__1)) | ~ (![X0 : $i]: ~ (b @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl565, zip_derived_cl222])).
% 5.26/1.30 thf(zip_derived_cl110, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_58 @ X0) | (zip_tseitin_57))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_100])).
% 5.26/1.30 thf(zip_derived_cl298, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_58 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_58 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl110])).
% 5.26/1.30 thf(zip_derived_cl371, plain,
% 5.26/1.30 ((~ (zip_tseitin_58 @ sk__41)) <= (~ ( (zip_tseitin_58 @ sk__41)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('59', plain,
% 5.26/1.30 (( (zip_tseitin_58 @ sk__41)) | ~ (![X0 : $i]: (zip_tseitin_58 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl371])).
% 5.26/1.30 thf(zip_derived_cl22, plain, (( (zip_tseitin_12) | ~ (zip_tseitin_11))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_194])).
% 5.26/1.30 thf('60', plain, (( (zip_tseitin_12)) | ~ ( (zip_tseitin_11))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl22])).
% 5.26/1.30 thf(zip_derived_cl181, plain, (( (zip_tseitin_97) | (zip_tseitin_96))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_20])).
% 5.26/1.30 thf('61', plain, (( (zip_tseitin_97)) | ( (zip_tseitin_96))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl181])).
% 5.26/1.30 thf(zip_derived_cl183, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]: ( (zip_tseitin_98 @ X0 @ X1) | (p1 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_18])).
% 5.26/1.30 thf(zip_derived_cl339, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_98 @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_98 @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl183])).
% 5.26/1.30 thf(zip_derived_cl376, plain,
% 5.26/1.30 ((~ (zip_tseitin_98 @ sk__32 @ sk__31))
% 5.26/1.30 <= (~ ( (zip_tseitin_98 @ sk__32 @ sk__31)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('62', plain,
% 5.26/1.30 (( (zip_tseitin_98 @ sk__32 @ sk__31)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_98 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl339, zip_derived_cl376])).
% 5.26/1.30 thf('63', plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_58 @ X0)) | ( (zip_tseitin_57))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl110])).
% 5.26/1.30 thf(zip_derived_cl1349, plain,
% 5.26/1.30 ((![X2 : $i]: ~ (q1 @ X2)) <= ((![X2 : $i]: ~ (q1 @ X2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1270])).
% 5.26/1.30 thf(zip_derived_cl650, plain,
% 5.26/1.30 (( (q1 @ (f @ sk__44))) <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl370])).
% 5.26/1.30 thf('64', plain,
% 5.26/1.30 (~ (![X2 : $i]: ~ (q1 @ X2)) | ( (zip_tseitin_38 @ sk__45 @ sk__44))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1349, zip_derived_cl650])).
% 5.26/1.30 thf(zip_derived_cl41, plain, (![X0 : $i]: ( (zip_tseitin_23) | (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_172])).
% 5.26/1.30 thf('65', plain, (( (zip_tseitin_23)) | (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl41])).
% 5.26/1.30 thf(zip_derived_cl43, plain, (![X0 : $i]: ( (zip_tseitin_24) | (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_170])).
% 5.26/1.30 thf('66', plain, (( (zip_tseitin_24)) | (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl43])).
% 5.26/1.30 thf(zip_derived_cl94, plain, (![X0 : $i]: ( (zip_tseitin_49) | (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_120])).
% 5.26/1.30 thf('67', plain, (( (zip_tseitin_49)) | (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl94])).
% 5.26/1.30 thf(zip_derived_cl178, plain,
% 5.26/1.30 (![X0 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_96))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_22])).
% 5.26/1.30 thf('68', plain, (~ ( (zip_tseitin_96)) | (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl178])).
% 5.26/1.30 thf('69', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_98 @ X0 @ X1)) |
% 5.26/1.30 (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl183])).
% 5.26/1.30 thf('70', plain, (( (zip_tseitin_30)) | ( (p1 @ sk__8))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl55])).
% 5.26/1.30 thf('71', plain,
% 5.26/1.30 (( (zip_tseitin_64)) |
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl121])).
% 5.26/1.30 thf('72', plain,
% 5.26/1.30 (~ ( (zip_tseitin_57)) | (![X0 : $i]: (zip_tseitin_55 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl108])).
% 5.26/1.30 thf(zip_derived_cl1574, plain,
% 5.26/1.30 ((![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1))))
% 5.26/1.30 <= ((![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1)))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1545])).
% 5.26/1.30 thf(zip_derived_cl487, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | (q1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl19])).
% 5.26/1.30 thf(zip_derived_cl1549, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.30 thf(zip_derived_cl1560, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | ~ (p1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl487, zip_derived_cl1549])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl1664, plain,
% 5.26/1.30 ((![X0 : $i]: (r1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) &
% 5.26/1.30 (![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1)))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1574, zip_derived_cl1566])).
% 5.26/1.30 thf(zip_derived_cl1854, plain, ((~ (r1 @ sk__59)) <= (~ ( (r1 @ sk__59)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1611])).
% 5.26/1.30 thf('73', plain,
% 5.26/1.30 (~ (![X0 : $i]: (zip_tseitin_10 @ X0)) | ( (r1 @ sk__59)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1664, zip_derived_cl1854])).
% 5.26/1.30 thf(zip_derived_cl1664, plain,
% 5.26/1.30 ((![X0 : $i]: (r1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) &
% 5.26/1.30 (![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1)))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1574, zip_derived_cl1566])).
% 5.26/1.30 thf(zip_derived_cl1853, plain, ((~ (r1 @ sk__60)) <= (~ ( (r1 @ sk__60)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1611])).
% 5.26/1.30 thf('74', plain,
% 5.26/1.30 (~ (![X0 : $i]: (zip_tseitin_10 @ X0)) | ( (r1 @ sk__60)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1664, zip_derived_cl1853])).
% 5.26/1.30 thf('75', plain,
% 5.26/1.30 ((![X1 : $i]: ( (r1 @ X1) | (p1 @ (f @ X1)))) |
% 5.26/1.30 ~
% 5.26/1.30 (![X2 : $i, X3 : $i]:
% 5.26/1.30 ( (r1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))) |
% 5.26/1.30 (![X2 : $i]: ~ (q1 @ X2))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1545])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl560, plain,
% 5.26/1.30 (( (zip_tseitin_27 @ sk__50 @ sk__49 @ sk__48))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl368])).
% 5.26/1.30 thf(zip_derived_cl46, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (s1 @ X0) | ~ (zip_tseitin_27 @ X1 @ X2 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_164])).
% 5.26/1.30 thf(zip_derived_cl577, plain,
% 5.26/1.30 (( (s1 @ sk__48)) <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl560, zip_derived_cl46])).
% 5.26/1.30 thf(zip_derived_cl519, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (s1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_26 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl45])).
% 5.26/1.30 thf(zip_derived_cl581, plain,
% 5.26/1.30 (( (p1 @ sk__48))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) &
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_26 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl577, zip_derived_cl519])).
% 5.26/1.30 thf('76', plain,
% 5.26/1.30 (( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_26 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl581])).
% 5.26/1.30 thf(zip_derived_cl560, plain,
% 5.26/1.30 (( (zip_tseitin_27 @ sk__50 @ sk__49 @ sk__48))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl368])).
% 5.26/1.30 thf(zip_derived_cl247, plain,
% 5.26/1.30 ((![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_27 @ X1 @ X2 @ X3))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_27 @ X1 @ X2 @ X3)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl49])).
% 5.26/1.30 thf('77', plain,
% 5.26/1.30 (( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) |
% 5.26/1.30 ~ (![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_27 @ X1 @ X2 @ X3))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl560, zip_derived_cl247])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl1369, plain,
% 5.26/1.30 ((~ (zip_tseitin_14 @ sk__38 @ sk__37))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__38 @ sk__37)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1368, zip_derived_cl373])).
% 5.26/1.30 thf(zip_derived_cl26, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl1418, plain,
% 5.26/1.30 (( (p1 @ sk__38))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__38 @ sk__37)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl1369, zip_derived_cl26])).
% 5.26/1.30 thf('78', plain,
% 5.26/1.30 (~ (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)) |
% 5.26/1.30 ( (zip_tseitin_65 @ sk__38 @ sk__37)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl1418])).
% 5.26/1.30 thf(zip_derived_cl313, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_65 @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_65 @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl124])).
% 5.26/1.30 thf(zip_derived_cl373, plain,
% 5.26/1.30 ((~ (zip_tseitin_65 @ sk__38 @ sk__37))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__38 @ sk__37)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('79', plain,
% 5.26/1.30 (( (zip_tseitin_65 @ sk__38 @ sk__37)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_65 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl373])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl136, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_73) | ~ (zip_tseitin_5 @ X0 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_68])).
% 5.26/1.30 thf(zip_derived_cl318, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl136])).
% 5.26/1.30 thf(zip_derived_cl10, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_5 @ X0 @ X1) | (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_208])).
% 5.26/1.30 thf(zip_derived_cl473, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl318, zip_derived_cl10])).
% 5.26/1.30 thf('80', plain,
% 5.26/1.30 (~ (![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl473])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl1153, plain,
% 5.26/1.30 (( (p1 @ sk__33))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.30 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1064, zip_derived_cl157])).
% 5.26/1.30 thf('81', plain,
% 5.26/1.30 (~
% 5.26/1.30 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.30 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl1153])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl1348, plain,
% 5.26/1.30 ((![X3 : $i]: (p1 @ (f @ X3))) <= ((![X3 : $i]: (p1 @ (f @ X3))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1270])).
% 5.26/1.30 thf('82', plain,
% 5.26/1.30 (~ (![X3 : $i]: (p1 @ (f @ X3))) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl1348])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('83', plain,
% 5.26/1.30 (~ (![X0 : $i]: (zip_tseitin_10 @ X0)) | ~ (![X0 : $i]: (p1 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl561, plain,
% 5.26/1.30 (( (zip_tseitin_27 @ sk__54 @ sk__53 @ sk__52))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl367])).
% 5.26/1.30 thf(zip_derived_cl46, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (s1 @ X0) | ~ (zip_tseitin_27 @ X1 @ X2 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_164])).
% 5.26/1.30 thf(zip_derived_cl586, plain,
% 5.26/1.30 (( (s1 @ sk__52)) <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl561, zip_derived_cl46])).
% 5.26/1.30 thf(zip_derived_cl519, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (s1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_26 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl45])).
% 5.26/1.30 thf(zip_derived_cl590, plain,
% 5.26/1.30 (( (p1 @ sk__52))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) &
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_26 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl519])).
% 5.26/1.30 thf('84', plain,
% 5.26/1.30 (( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_26 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl590])).
% 5.26/1.30 thf(zip_derived_cl561, plain,
% 5.26/1.30 (( (zip_tseitin_27 @ sk__54 @ sk__53 @ sk__52))
% 5.26/1.30 <= (~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl367])).
% 5.26/1.30 thf(zip_derived_cl247, plain,
% 5.26/1.30 ((![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_27 @ X1 @ X2 @ X3))
% 5.26/1.30 <= ((![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_27 @ X1 @ X2 @ X3)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl49])).
% 5.26/1.30 thf('85', plain,
% 5.26/1.30 (( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) |
% 5.26/1.30 ~ (![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_27 @ X1 @ X2 @ X3))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl561, zip_derived_cl247])).
% 5.26/1.30 thf('86', plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_26 @ X0)) |
% 5.26/1.30 (![X1 : $i, X2 : $i, X3 : $i]: ~ (zip_tseitin_27 @ X1 @ X2 @ X3))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl49])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl255, plain, (( (p1 @ sk__8)) <= (( (p1 @ sk__8)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl55])).
% 5.26/1.30 thf('87', plain,
% 5.26/1.30 (~ (![X0 : $i]: (zip_tseitin_10 @ X0)) | ~ ( (p1 @ sk__8)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl255])).
% 5.26/1.30 thf(zip_derived_cl310, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl121])).
% 5.26/1.30 thf(zip_derived_cl116, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (q1 @ X0) | ~ (zip_tseitin_62 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_92])).
% 5.26/1.30 thf(zip_derived_cl713, plain,
% 5.26/1.30 ((![X0 : $i]: (q1 @ (sk__18 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl116])).
% 5.26/1.30 thf(zip_derived_cl1549, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.30 thf(zip_derived_cl1564, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ (sk__18 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl713, zip_derived_cl1549])).
% 5.26/1.30 thf(zip_derived_cl717, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl117])).
% 5.26/1.30 thf('88', plain,
% 5.26/1.30 (~ (![X0 : $i]: (zip_tseitin_62 @ (sk__18 @ X0) @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl1564, zip_derived_cl717])).
% 5.26/1.30 thf(zip_derived_cl611, plain,
% 5.26/1.30 ((![X0 : $i]: (q1 @ X0)) <= ((![X0 : $i]: (zip_tseitin_55 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl296, zip_derived_cl104])).
% 5.26/1.30 thf(zip_derived_cl1549, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.30 thf(zip_derived_cl1561, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_55 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl611, zip_derived_cl1549])).
% 5.26/1.30 thf(zip_derived_cl296, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_55 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_55 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl108])).
% 5.26/1.30 thf(zip_derived_cl105, plain,
% 5.26/1.30 (![X0 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_55 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_106])).
% 5.26/1.30 thf(zip_derived_cl693, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (zip_tseitin_55 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl296, zip_derived_cl105])).
% 5.26/1.30 thf('89', plain,
% 5.26/1.30 (~ (![X0 : $i]: (zip_tseitin_55 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl1561, zip_derived_cl693])).
% 5.26/1.30 thf(zip_derived_cl2090, plain,
% 5.26/1.30 ((![X1 : $i]: ( (p1 @ X1) | (q1 @ X1)))
% 5.26/1.30 <= ((![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1615])).
% 5.26/1.30 thf(zip_derived_cl31, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_17 @ X0 @ X1) | (zip_tseitin_13 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_184])).
% 5.26/1.30 thf(zip_derived_cl220, plain,
% 5.26/1.30 ((![X2 : $i]: (zip_tseitin_13 @ X2))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_13 @ X2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl31])).
% 5.26/1.30 thf(zip_derived_cl24, plain,
% 5.26/1.30 (![X0 : $i]: (~ (q1 @ X0) | (p1 @ X0) | ~ (zip_tseitin_13 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_192])).
% 5.26/1.30 thf(zip_derived_cl488, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (q1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_13 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl24])).
% 5.26/1.30 thf(zip_derived_cl2091, plain,
% 5.26/1.30 ((![X0 : $i]: ( (p1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_13 @ X2)) &
% 5.26/1.30 (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl2090, zip_derived_cl488])).
% 5.26/1.30 thf(zip_derived_cl2100, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_13 @ X2)) &
% 5.26/1.30 (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl2091])).
% 5.26/1.30 thf(zip_derived_cl25, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | ~ (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl27, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) | ~ (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_188])).
% 5.26/1.30 thf(zip_derived_cl497, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_17 @ X1 @ X0)
% 5.26/1.30 | ~ (zip_tseitin_15 @ X2 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_14 @ X2 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl29])).
% 5.26/1.30 thf(zip_derived_cl1233, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (p1 @ X0)
% 5.26/1.30 | (zip_tseitin_17 @ X0 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_14 @ X1 @ X2))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl497])).
% 5.26/1.30 thf(zip_derived_cl1609, plain,
% 5.26/1.30 (![X0 : $i, X2 : $i]:
% 5.26/1.30 (~ (p1 @ X0) | ~ (p1 @ X2) | (zip_tseitin_17 @ X2 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl1233])).
% 5.26/1.30 thf(zip_derived_cl366, plain,
% 5.26/1.30 ((~ (zip_tseitin_17 @ sk__56 @ sk__55))
% 5.26/1.30 <= (~ ( (zip_tseitin_17 @ sk__56 @ sk__55)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl2049, plain,
% 5.26/1.30 (((~ (p1 @ sk__56) | ~ (p1 @ sk__55)))
% 5.26/1.30 <= (~ ( (zip_tseitin_17 @ sk__56 @ sk__55)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1609, zip_derived_cl366])).
% 5.26/1.30 thf(zip_derived_cl2050, plain, ((~ (p1 @ sk__56)) <= (~ ( (p1 @ sk__56)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl2049])).
% 5.26/1.30 thf('90', plain,
% 5.26/1.30 (( (p1 @ sk__56)) | ~ (![X2 : $i]: (zip_tseitin_13 @ X2)) |
% 5.26/1.30 ~ (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl2100, zip_derived_cl2050])).
% 5.26/1.30 thf(zip_derived_cl2100, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_13 @ X2)) &
% 5.26/1.30 (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl2091])).
% 5.26/1.30 thf(zip_derived_cl2051, plain, ((~ (p1 @ sk__55)) <= (~ ( (p1 @ sk__55)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl2049])).
% 5.26/1.30 thf('91', plain,
% 5.26/1.30 (( (p1 @ sk__55)) | ~ (![X2 : $i]: (zip_tseitin_13 @ X2)) |
% 5.26/1.30 ~ (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl2100, zip_derived_cl2051])).
% 5.26/1.30 thf('92', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_17 @ X0 @ X1)) |
% 5.26/1.30 (![X1 : $i]: ( (p1 @ X1) | (q1 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1615])).
% 5.26/1.30 thf('93', plain,
% 5.26/1.30 (( (zip_tseitin_17 @ sk__56 @ sk__55)) | ~ ( (p1 @ sk__55)) |
% 5.26/1.30 ~ ( (p1 @ sk__56))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl2049])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl1370, plain,
% 5.26/1.30 ((~ (zip_tseitin_14 @ sk__40 @ sk__39))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__40 @ sk__39)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1368, zip_derived_cl372])).
% 5.26/1.30 thf(zip_derived_cl26, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl1432, plain,
% 5.26/1.30 (( (p1 @ sk__40))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__40 @ sk__39)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl1370, zip_derived_cl26])).
% 5.26/1.30 thf('94', plain,
% 5.26/1.30 (( (zip_tseitin_65 @ sk__40 @ sk__39)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl1432])).
% 5.26/1.30 thf(zip_derived_cl111, plain, (( (a1 @ sk__16) | ~ (zip_tseitin_59))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_98])).
% 5.26/1.30 thf('95', plain, (( (a1 @ sk__16)) | ~ ( (zip_tseitin_59))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl111])).
% 5.26/1.30 thf(zip_derived_cl112, plain, (![X0 : $i]: ( (b @ X0) | ~ (zip_tseitin_59))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_98])).
% 5.26/1.30 thf('96', plain, (~ ( (zip_tseitin_59)) | (![X0 : $i]: (b @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl112])).
% 5.26/1.30 thf(zip_derived_cl114, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_61) | ~ (zip_tseitin_60 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_94])).
% 5.26/1.30 thf('97', plain,
% 5.26/1.30 ((![X0 : $i]: ~ (zip_tseitin_60 @ X0)) | ( (zip_tseitin_61))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl114])).
% 5.26/1.30 thf(zip_derived_cl115, plain, (( (zip_tseitin_61) | (zip_tseitin_59))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_94])).
% 5.26/1.30 thf('98', plain, (( (zip_tseitin_61)) | ( (zip_tseitin_59))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl115])).
% 5.26/1.30 thf(zip_derived_cl113, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_60 @ X0) | ~ (a1 @ X0) | ~ (b @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_96])).
% 5.26/1.30 thf(zip_derived_cl304, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (zip_tseitin_60 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_60 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl114])).
% 5.26/1.30 thf(zip_derived_cl830, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (b @ X0) | ~ (a1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_60 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl304])).
% 5.26/1.30 thf(zip_derived_cl302, plain,
% 5.26/1.30 ((![X0 : $i]: (b @ X0)) <= ((![X0 : $i]: (b @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl112])).
% 5.26/1.30 thf(zip_derived_cl832, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (a1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (b @ X0)) & (![X0 : $i]: ~ (zip_tseitin_60 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl830, zip_derived_cl302])).
% 5.26/1.30 thf(zip_derived_cl301, plain, (( (a1 @ sk__16)) <= (( (a1 @ sk__16)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl111])).
% 5.26/1.30 thf('99', plain,
% 5.26/1.30 (~ (![X0 : $i]: (b @ X0)) | ~ (![X0 : $i]: ~ (zip_tseitin_60 @ X0)) |
% 5.26/1.30 ~ ( (a1 @ sk__16))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl832, zip_derived_cl301])).
% 5.26/1.30 thf(zip_derived_cl73, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_40) | ~ (zip_tseitin_39 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_138])).
% 5.26/1.30 thf('100', plain,
% 5.26/1.30 (( (zip_tseitin_40)) | (![X0 : $i]: ~ (zip_tseitin_39 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl73])).
% 5.26/1.30 thf(zip_derived_cl74, plain, (( (zip_tseitin_40) | (b @ sk__10))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_138])).
% 5.26/1.30 thf('101', plain, (( (zip_tseitin_40)) | ( (b @ sk__10))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl74])).
% 5.26/1.30 thf(zip_derived_cl71, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_39 @ X0) | ~ (b @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_140])).
% 5.26/1.30 thf(zip_derived_cl269, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (zip_tseitin_39 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_39 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl73])).
% 5.26/1.30 thf(zip_derived_cl620, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (b @ X0)) <= ((![X0 : $i]: ~ (zip_tseitin_39 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl269])).
% 5.26/1.30 thf(zip_derived_cl271, plain, (( (b @ sk__10)) <= (( (b @ sk__10)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl74])).
% 5.26/1.30 thf('102', plain,
% 5.26/1.30 (~ (![X0 : $i]: ~ (zip_tseitin_39 @ X0)) | ~ ( (b @ sk__10))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl620, zip_derived_cl271])).
% 5.26/1.30 thf(zip_derived_cl187, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_100) | ~ (b @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_12])).
% 5.26/1.30 thf('103', plain, ((![X0 : $i]: ~ (b @ X0)) | ( (zip_tseitin_100))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl187])).
% 5.26/1.30 thf(zip_derived_cl188, plain, (( (zip_tseitin_100) | (a1 @ sk__27))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_12])).
% 5.26/1.30 thf('104', plain, (( (a1 @ sk__27)) | ( (zip_tseitin_100))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl188])).
% 5.26/1.30 thf(zip_derived_cl189, plain, (( (zip_tseitin_101) | ~ (zip_tseitin_100))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_10])).
% 5.26/1.30 thf('105', plain, (( (zip_tseitin_101)) | ~ ( (zip_tseitin_100))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl189])).
% 5.26/1.30 thf(zip_derived_cl190, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_101) | (zip_tseitin_18 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_10])).
% 5.26/1.30 thf('106', plain,
% 5.26/1.30 (( (zip_tseitin_101)) | (![X0 : $i]: (zip_tseitin_18 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl190])).
% 5.26/1.30 thf(zip_derived_cl350, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_18 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_18 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl190])).
% 5.26/1.30 thf(zip_derived_cl32, plain,
% 5.26/1.30 (![X0 : $i]: (~ (a1 @ X0) | (b @ X0) | ~ (zip_tseitin_18 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_182])).
% 5.26/1.30 thf(zip_derived_cl505, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (a1 @ X0) | (b @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_18 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl32])).
% 5.26/1.30 thf(zip_derived_cl222, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (b @ X0)) <= ((![X0 : $i]: ~ (b @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl33])).
% 5.26/1.30 thf(zip_derived_cl532, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (a1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: ~ (b @ X0)) & (![X0 : $i]: (zip_tseitin_18 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl222])).
% 5.26/1.30 thf(zip_derived_cl346, plain, (( (a1 @ sk__27)) <= (( (a1 @ sk__27)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl188])).
% 5.26/1.30 thf('107', plain,
% 5.26/1.30 (~ (![X0 : $i]: (zip_tseitin_18 @ X0)) | ~ ( (a1 @ sk__27)) |
% 5.26/1.30 ~ (![X0 : $i]: ~ (b @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl532, zip_derived_cl346])).
% 5.26/1.30 thf(zip_derived_cl102, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_54) | ~ (zip_tseitin_53 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_108])).
% 5.26/1.30 thf('108', plain,
% 5.26/1.30 ((![X0 : $i]: ~ (zip_tseitin_53 @ X0)) | ( (zip_tseitin_54))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl102])).
% 5.26/1.30 thf(zip_derived_cl103, plain, (( (zip_tseitin_54) | (zip_tseitin_52))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_108])).
% 5.26/1.30 thf('109', plain, (( (zip_tseitin_54)) | ( (zip_tseitin_52))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl103])).
% 5.26/1.30 thf(zip_derived_cl99, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_51 @ X0) | ~ (zip_tseitin_52))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_112])).
% 5.26/1.30 thf('110', plain,
% 5.26/1.30 (~ ( (zip_tseitin_52)) | (![X0 : $i]: (zip_tseitin_51 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl99])).
% 5.26/1.30 thf(zip_derived_cl100, plain,
% 5.26/1.30 ((~ (zip_tseitin_18 @ sk__15) | ~ (zip_tseitin_52))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_112])).
% 5.26/1.30 thf('111', plain, (~ ( (zip_tseitin_52)) | ~ ( (zip_tseitin_18 @ sk__15))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl100])).
% 5.26/1.30 thf(zip_derived_cl101, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_53 @ X0) | ~ (a1 @ X0) | ~ (c @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_110])).
% 5.26/1.30 thf(zip_derived_cl287, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (zip_tseitin_53 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_53 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl102])).
% 5.26/1.30 thf(zip_derived_cl820, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (c @ X0) | ~ (a1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_53 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl287])).
% 5.26/1.30 thf(zip_derived_cl283, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_51 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_51 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl99])).
% 5.26/1.30 thf(zip_derived_cl98, plain,
% 5.26/1.30 (![X0 : $i]:
% 5.26/1.30 (~ (a1 @ X0) | (zip_tseitin_50 @ X0) | ~ (zip_tseitin_51 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_114])).
% 5.26/1.30 thf(zip_derived_cl809, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (a1 @ X0) | (zip_tseitin_50 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_51 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl98])).
% 5.26/1.30 thf(zip_derived_cl97, plain,
% 5.26/1.30 (![X0 : $i]: ( (c @ X0) | (b @ X0) | ~ (zip_tseitin_50 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_116])).
% 5.26/1.30 thf(zip_derived_cl810, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (a1 @ X0) | (c @ X0) | (b @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_51 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl809, zip_derived_cl97])).
% 5.26/1.30 thf(zip_derived_cl888, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (a1 @ X0) | ~ (a1 @ X0) | (b @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_51 @ X0)) &
% 5.26/1.30 (![X0 : $i]: ~ (zip_tseitin_53 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl820, zip_derived_cl810])).
% 5.26/1.30 thf(zip_derived_cl889, plain,
% 5.26/1.30 ((![X0 : $i]: ( (b @ X0) | ~ (a1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_51 @ X0)) &
% 5.26/1.30 (![X0 : $i]: ~ (zip_tseitin_53 @ X0)))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl888])).
% 5.26/1.30 thf(zip_derived_cl95, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_18 @ X0) | ~ (b @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_118])).
% 5.26/1.30 thf(zip_derived_cl285, plain,
% 5.26/1.30 ((~ (zip_tseitin_18 @ sk__15)) <= (~ ( (zip_tseitin_18 @ sk__15)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl100])).
% 5.26/1.30 thf(zip_derived_cl682, plain,
% 5.26/1.30 ((~ (b @ sk__15)) <= (~ ( (zip_tseitin_18 @ sk__15)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl285])).
% 5.26/1.30 thf(zip_derived_cl915, plain,
% 5.26/1.30 ((~ (a1 @ sk__15))
% 5.26/1.30 <= (~ ( (zip_tseitin_18 @ sk__15)) &
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_51 @ X0)) &
% 5.26/1.30 (![X0 : $i]: ~ (zip_tseitin_53 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl889, zip_derived_cl682])).
% 5.26/1.30 thf(zip_derived_cl96, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_18 @ X0) | (a1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_118])).
% 5.26/1.30 thf(zip_derived_cl285, plain,
% 5.26/1.30 ((~ (zip_tseitin_18 @ sk__15)) <= (~ ( (zip_tseitin_18 @ sk__15)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl100])).
% 5.26/1.30 thf(zip_derived_cl689, plain,
% 5.26/1.30 (( (a1 @ sk__15)) <= (~ ( (zip_tseitin_18 @ sk__15)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl285])).
% 5.26/1.30 thf('112', plain,
% 5.26/1.30 (( (zip_tseitin_18 @ sk__15)) | ~ (![X0 : $i]: (zip_tseitin_51 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: ~ (zip_tseitin_53 @ X0))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl915, zip_derived_cl689])).
% 5.26/1.30 thf(zip_derived_cl13, plain, (( (a0) | ~ (zip_tseitin_7))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_204])).
% 5.26/1.30 thf('113', plain, (( (a0)) | ~ ( (zip_tseitin_7))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl13])).
% 5.26/1.30 thf(zip_derived_cl14, plain, (( (b0) | ~ (zip_tseitin_7))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_204])).
% 5.26/1.30 thf('114', plain, (( (b0)) | ~ ( (zip_tseitin_7))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl14])).
% 5.26/1.30 thf(zip_derived_cl17, plain, (( (zip_tseitin_9) | ~ (zip_tseitin_8))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_200])).
% 5.26/1.30 thf('115', plain, (( (zip_tseitin_9)) | ~ ( (zip_tseitin_8))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl17])).
% 5.26/1.30 thf(zip_derived_cl18, plain, (( (zip_tseitin_9) | (zip_tseitin_7))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_200])).
% 5.26/1.30 thf('116', plain, (( (zip_tseitin_7)) | ( (zip_tseitin_9))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl18])).
% 5.26/1.30 thf(zip_derived_cl15, plain, (( (zip_tseitin_8) | ~ (b0) | ~ (a0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_202])).
% 5.26/1.30 thf('117', plain, (( (zip_tseitin_8)) | ~ ( (b0)) | ~ ( (a0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl15])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl312, plain,
% 5.26/1.30 ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl124])).
% 5.26/1.30 thf(zip_derived_cl497, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_17 @ X1 @ X0)
% 5.26/1.30 | ~ (zip_tseitin_15 @ X2 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_14 @ X2 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl29])).
% 5.26/1.30 thf(zip_derived_cl1235, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (zip_tseitin_17 @ X0 @ X1) | ~ (zip_tseitin_14 @ X0 @ X1)))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl497])).
% 5.26/1.30 thf(zip_derived_cl366, plain,
% 5.26/1.30 ((~ (zip_tseitin_17 @ sk__56 @ sk__55))
% 5.26/1.30 <= (~ ( (zip_tseitin_17 @ sk__56 @ sk__55)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl1236, plain,
% 5.26/1.30 ((~ (zip_tseitin_14 @ sk__56 @ sk__55))
% 5.26/1.30 <= (~ ( (zip_tseitin_17 @ sk__56 @ sk__55)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1235, zip_derived_cl366])).
% 5.26/1.30 thf(zip_derived_cl26, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl1246, plain,
% 5.26/1.30 (( (p1 @ sk__56))
% 5.26/1.30 <= (~ ( (zip_tseitin_17 @ sk__56 @ sk__55)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl1236, zip_derived_cl26])).
% 5.26/1.30 thf('118', plain,
% 5.26/1.30 (( (zip_tseitin_17 @ sk__56 @ sk__55)) |
% 5.26/1.30 ~ (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl1246])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl874, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (q1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl122])).
% 5.26/1.30 thf(zip_derived_cl650, plain,
% 5.26/1.30 (( (q1 @ (f @ sk__44))) <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl370])).
% 5.26/1.30 thf(zip_derived_cl878, plain,
% 5.26/1.30 (( (p1 @ (f @ sk__44)))
% 5.26/1.30 <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl874, zip_derived_cl650])).
% 5.26/1.30 thf('119', plain,
% 5.26/1.30 (~ (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ( (zip_tseitin_38 @ sk__45 @ sk__44))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl878])).
% 5.26/1.30 thf(zip_derived_cl221, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_17 @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_17 @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl31])).
% 5.26/1.30 thf(zip_derived_cl366, plain,
% 5.26/1.30 ((~ (zip_tseitin_17 @ sk__56 @ sk__55))
% 5.26/1.30 <= (~ ( (zip_tseitin_17 @ sk__56 @ sk__55)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('120', plain,
% 5.26/1.30 (( (zip_tseitin_17 @ sk__56 @ sk__55)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_17 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl366])).
% 5.26/1.30 thf('121', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_65 @ X0 @ X1)) |
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl124])).
% 5.26/1.30 thf('122', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_17 @ X0 @ X1)) |
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_13 @ X2))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl31])).
% 5.26/1.30 thf(zip_derived_cl69, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_38 @ X0 @ X1) | ~ (zip_tseitin_33 @ X2 @ X3 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_142])).
% 5.26/1.30 thf(zip_derived_cl59, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 (~ (q1 @ X0)
% 5.26/1.30 | ~ (zip_tseitin_32 @ X1 @ X0 @ X2 @ X3)
% 5.26/1.30 | (zip_tseitin_33 @ X1 @ X0 @ X2 @ X3))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_152])).
% 5.26/1.30 thf(zip_derived_cl640, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_38 @ X1 @ X0)
% 5.26/1.30 | ~ (q1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_32 @ X3 @ X2 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl59])).
% 5.26/1.30 thf(zip_derived_cl58, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_32 @ X0 @ X1 @ X2 @ X3) | (p1 @ (f @ X0)))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_154])).
% 5.26/1.30 thf(zip_derived_cl1336, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 (~ (q1 @ X2) | (zip_tseitin_38 @ X1 @ X0) | (p1 @ (f @ X3)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl640, zip_derived_cl58])).
% 5.26/1.30 thf('123', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_38 @ X1 @ X0)) |
% 5.26/1.30 (![X3 : $i]: (p1 @ (f @ X3))) | (![X2 : $i]: ~ (q1 @ X2))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1336])).
% 5.26/1.30 thf('124', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_34 @ X0 @ X1)) |
% 5.26/1.30 (![X3 : $i]: (p1 @ (f @ X3))) | (![X2 : $i]: ~ (q1 @ X2))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1270])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl874, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (q1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl122])).
% 5.26/1.30 thf(zip_derived_cl196, plain,
% 5.26/1.30 ((![X2 : $i]: (q1 @ (f @ X2))) <= ((![X2 : $i]: (q1 @ (f @ X2))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl7])).
% 5.26/1.30 thf(zip_derived_cl877, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ (f @ X0)))
% 5.26/1.30 <= ((![X2 : $i]: (q1 @ (f @ X2))) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl874, zip_derived_cl196])).
% 5.26/1.30 thf('125', plain,
% 5.26/1.30 (~ (![X2 : $i]: (zip_tseitin_15 @ X2 @ X2)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X2 : $i]: (q1 @ (f @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl877])).
% 5.26/1.30 thf(zip_derived_cl1566, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('simplify', [status(thm)], [zip_derived_cl1560])).
% 5.26/1.30 thf(zip_derived_cl488, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (q1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X2 : $i]: (zip_tseitin_13 @ X2)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl24])).
% 5.26/1.30 thf(zip_derived_cl196, plain,
% 5.26/1.30 ((![X2 : $i]: (q1 @ (f @ X2))) <= ((![X2 : $i]: (q1 @ (f @ X2))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl7])).
% 5.26/1.30 thf(zip_derived_cl507, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ (f @ X0)))
% 5.26/1.30 <= ((![X2 : $i]: (q1 @ (f @ X2))) &
% 5.26/1.30 (![X2 : $i]: (zip_tseitin_13 @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl488, zip_derived_cl196])).
% 5.26/1.30 thf('126', plain,
% 5.26/1.30 (~ (![X2 : $i]: (zip_tseitin_13 @ X2)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X2 : $i]: (q1 @ (f @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1566, zip_derived_cl507])).
% 5.26/1.30 thf(zip_derived_cl1349, plain,
% 5.26/1.30 ((![X2 : $i]: ~ (q1 @ X2)) <= ((![X2 : $i]: ~ (q1 @ X2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1270])).
% 5.26/1.30 thf(zip_derived_cl196, plain,
% 5.26/1.30 ((![X2 : $i]: (q1 @ (f @ X2))) <= ((![X2 : $i]: (q1 @ (f @ X2))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl7])).
% 5.26/1.30 thf('127', plain,
% 5.26/1.30 (~ (![X2 : $i]: ~ (q1 @ X2)) | ~ (![X2 : $i]: (q1 @ (f @ X2)))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1349, zip_derived_cl196])).
% 5.26/1.30 thf(zip_derived_cl358, plain,
% 5.26/1.30 ((![X12 : $i, X13 : $i]: ~ (zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57))
% 5.26/1.30 <= ((![X12 : $i, X13 : $i]:
% 5.26/1.30 ~ (zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl11, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_6 @ X0 @ X1 @ X2 @ X3) | ~ (zip_tseitin_5 @ X2 @ X3))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_206])).
% 5.26/1.30 thf(zip_derived_cl513, plain,
% 5.26/1.30 ((~ (zip_tseitin_5 @ sk__58 @ sk__57))
% 5.26/1.30 <= ((![X12 : $i, X13 : $i]:
% 5.26/1.30 ~ (zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl358, zip_derived_cl11])).
% 5.26/1.30 thf(zip_derived_cl358, plain,
% 5.26/1.30 ((![X12 : $i, X13 : $i]: ~ (zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57))
% 5.26/1.30 <= ((![X12 : $i, X13 : $i]:
% 5.26/1.30 ~ (zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl12, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_6 @ X0 @ X1 @ X2 @ X3) | (zip_tseitin_5 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_206])).
% 5.26/1.30 thf(zip_derived_cl514, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_5 @ X1 @ X0))
% 5.26/1.30 <= ((![X12 : $i, X13 : $i]:
% 5.26/1.30 ~ (zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl358, zip_derived_cl12])).
% 5.26/1.30 thf('128', plain,
% 5.26/1.30 (~
% 5.26/1.30 (![X12 : $i, X13 : $i]: ~ (zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl513, zip_derived_cl514])).
% 5.26/1.30 thf(zip_derived_cl194, plain,
% 5.26/1.30 (( (zip_tseitin_103) | (p1 @ sk__28) | (p1 @ sk__29))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.26/1.30 thf(zip_derived_cl356, plain, (( (p1 @ sk__28)) <= (( (p1 @ sk__28)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl194])).
% 5.26/1.30 thf(zip_derived_cl243, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X0 : $i]: ~ (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl42])).
% 5.26/1.30 thf('129', plain, (~ (![X0 : $i]: ~ (p1 @ X0)) | ~ ( (p1 @ sk__28))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl356, zip_derived_cl243])).
% 5.26/1.30 thf(zip_derived_cl355, plain, (( (p1 @ sk__29)) <= (( (p1 @ sk__29)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl194])).
% 5.26/1.30 thf(zip_derived_cl243, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X0 : $i]: ~ (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl42])).
% 5.26/1.30 thf('130', plain, (~ (![X0 : $i]: ~ (p1 @ X0)) | ~ ( (p1 @ sk__29))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl355, zip_derived_cl243])).
% 5.26/1.30 thf(zip_derived_cl193, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_103) | ~ (p1 @ X0) | ~ (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.26/1.30 thf('131', plain, (( (zip_tseitin_103)) | (![X0 : $i]: ~ (p1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl193])).
% 5.26/1.30 thf('132', plain,
% 5.26/1.30 (( (zip_tseitin_103)) | ( (p1 @ sk__28)) | ( (p1 @ sk__29))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl194])).
% 5.26/1.30 thf(zip_derived_cl176, plain,
% 5.26/1.30 (( (zip_tseitin_95) | ~ (zip_tseitin_94 @ sk__22 @ sk__21))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_24])).
% 5.26/1.30 thf('133', plain,
% 5.26/1.30 (( (zip_tseitin_95)) | ~ ( (zip_tseitin_94 @ sk__22 @ sk__21))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl176])).
% 5.26/1.30 thf(zip_derived_cl177, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_95) | (zip_tseitin_93 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_24])).
% 5.26/1.30 thf('134', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)) | ( (zip_tseitin_95))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl177])).
% 5.26/1.30 thf(zip_derived_cl175, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_94 @ X0 @ X1) | (eq @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_26])).
% 5.26/1.30 thf(zip_derived_cl326, plain,
% 5.26/1.30 ((~ (zip_tseitin_94 @ sk__22 @ sk__21))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl176])).
% 5.26/1.30 thf(zip_derived_cl955, plain,
% 5.26/1.30 (( (eq @ sk__21 @ sk__22)) <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl326])).
% 5.26/1.30 thf(zip_derived_cl328, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl177])).
% 5.26/1.30 thf(zip_derived_cl173, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (eq @ X0 @ X1)
% 5.26/1.30 | (zip_tseitin_92 @ X2 @ X1 @ X0)
% 5.26/1.30 | ~ (zip_tseitin_93 @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_28])).
% 5.26/1.30 thf(zip_derived_cl1193, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (eq @ X0 @ X1) | (zip_tseitin_92 @ X2 @ X1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl173])).
% 5.26/1.30 thf(zip_derived_cl1194, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_92 @ X0 @ sk__22 @ sk__21))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl955, zip_derived_cl1193])).
% 5.26/1.30 thf(zip_derived_cl169, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (a_member_of @ X0 @ X1)
% 5.26/1.30 | (a_member_of @ X0 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_92 @ X0 @ X2 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_30])).
% 5.26/1.30 thf(zip_derived_cl1267, plain,
% 5.26/1.30 ((![X0 : $i]:
% 5.26/1.30 (~ (a_member_of @ X0 @ sk__21) | (a_member_of @ X0 @ sk__22)))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1194, zip_derived_cl169])).
% 5.26/1.30 thf(zip_derived_cl328, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl177])).
% 5.26/1.30 thf(zip_derived_cl172, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_92 @ (sk__20 @ X0 @ X1) @ X1 @ X0)
% 5.26/1.30 | (eq @ X0 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_93 @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_28])).
% 5.26/1.30 thf(zip_derived_cl171, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_92 @ X0 @ X1 @ X2)
% 5.26/1.30 | (a_member_of @ X0 @ X1)
% 5.26/1.30 | (a_member_of @ X0 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_30])).
% 5.26/1.30 thf(zip_derived_cl1171, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_93 @ X1 @ X0)
% 5.26/1.30 | (eq @ X0 @ X1)
% 5.26/1.30 | (a_member_of @ (sk__20 @ X0 @ X1) @ X1)
% 5.26/1.30 | (a_member_of @ (sk__20 @ X0 @ X1) @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl171])).
% 5.26/1.30 thf(zip_derived_cl1481, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (eq @ X0 @ X1)
% 5.26/1.30 | (a_member_of @ (sk__20 @ X0 @ X1) @ X1)
% 5.26/1.30 | (a_member_of @ (sk__20 @ X0 @ X1) @ X0)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl328, zip_derived_cl1171])).
% 5.26/1.30 thf(zip_derived_cl1194, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_92 @ X0 @ sk__22 @ sk__21))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl955, zip_derived_cl1193])).
% 5.26/1.30 thf(zip_derived_cl168, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (a_member_of @ X0 @ X1)
% 5.26/1.30 | (a_member_of @ X0 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_92 @ X0 @ X1 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_30])).
% 5.26/1.30 thf(zip_derived_cl1266, plain,
% 5.26/1.30 ((![X0 : $i]:
% 5.26/1.30 (~ (a_member_of @ X0 @ sk__22) | (a_member_of @ X0 @ sk__21)))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1194, zip_derived_cl168])).
% 5.26/1.30 thf(zip_derived_cl1484, plain,
% 5.26/1.30 ((![X0 : $i]:
% 5.26/1.30 ( (a_member_of @ (sk__20 @ sk__22 @ X0) @ X0)
% 5.26/1.30 | (eq @ sk__22 @ X0)
% 5.26/1.30 | (a_member_of @ (sk__20 @ sk__22 @ X0) @ sk__21)))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1481, zip_derived_cl1266])).
% 5.26/1.30 thf(zip_derived_cl1524, plain,
% 5.26/1.30 ((( (eq @ sk__22 @ sk__21)
% 5.26/1.30 | (a_member_of @ (sk__20 @ sk__22 @ sk__21) @ sk__21)))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('eq_fact', [status(thm)], [zip_derived_cl1484])).
% 5.26/1.30 thf(zip_derived_cl174, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_94 @ X0 @ X1) | ~ (eq @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_26])).
% 5.26/1.30 thf(zip_derived_cl326, plain,
% 5.26/1.30 ((~ (zip_tseitin_94 @ sk__22 @ sk__21))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl176])).
% 5.26/1.30 thf(zip_derived_cl953, plain,
% 5.26/1.30 ((~ (eq @ sk__22 @ sk__21)) <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl326])).
% 5.26/1.30 thf(zip_derived_cl1525, plain,
% 5.26/1.30 (( (a_member_of @ (sk__20 @ sk__22 @ sk__21) @ sk__21))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl1524, zip_derived_cl953])).
% 5.26/1.30 thf(zip_derived_cl172, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_92 @ (sk__20 @ X0 @ X1) @ X1 @ X0)
% 5.26/1.30 | (eq @ X0 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_93 @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_28])).
% 5.26/1.30 thf(zip_derived_cl170, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_92 @ X0 @ X1 @ X2)
% 5.26/1.30 | ~ (a_member_of @ X0 @ X1)
% 5.26/1.30 | ~ (a_member_of @ X0 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_30])).
% 5.26/1.30 thf(zip_derived_cl1170, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_93 @ X1 @ X0)
% 5.26/1.30 | (eq @ X0 @ X1)
% 5.26/1.30 | ~ (a_member_of @ (sk__20 @ X0 @ X1) @ X1)
% 5.26/1.30 | ~ (a_member_of @ (sk__20 @ X0 @ X1) @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl170])).
% 5.26/1.30 thf(zip_derived_cl1532, plain,
% 5.26/1.30 (((~ (zip_tseitin_93 @ sk__21 @ sk__22)
% 5.26/1.30 | (eq @ sk__22 @ sk__21)
% 5.26/1.30 | ~ (a_member_of @ (sk__20 @ sk__22 @ sk__21) @ sk__22)))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1525, zip_derived_cl1170])).
% 5.26/1.30 thf(zip_derived_cl328, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl177])).
% 5.26/1.30 thf(zip_derived_cl953, plain,
% 5.26/1.30 ((~ (eq @ sk__22 @ sk__21)) <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl326])).
% 5.26/1.30 thf(zip_derived_cl1533, plain,
% 5.26/1.30 ((~ (a_member_of @ (sk__20 @ sk__22 @ sk__21) @ sk__22))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('demod', [status(thm)],
% 5.26/1.30 [zip_derived_cl1532, zip_derived_cl328, zip_derived_cl953])).
% 5.26/1.30 thf(zip_derived_cl1536, plain,
% 5.26/1.30 ((~ (a_member_of @ (sk__20 @ sk__22 @ sk__21) @ sk__21))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1267, zip_derived_cl1533])).
% 5.26/1.30 thf(zip_derived_cl1525, plain,
% 5.26/1.30 (( (a_member_of @ (sk__20 @ sk__22 @ sk__21) @ sk__21))
% 5.26/1.30 <= (~ ( (zip_tseitin_94 @ sk__22 @ sk__21)) &
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1)))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl1524, zip_derived_cl953])).
% 5.26/1.30 thf('135', plain,
% 5.26/1.30 (( (zip_tseitin_94 @ sk__22 @ sk__21)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_93 @ X0 @ X1))),
% 5.26/1.30 inference('demod', [status(thm)],
% 5.26/1.30 [zip_derived_cl1536, zip_derived_cl1525])).
% 5.26/1.30 thf(zip_derived_cl184, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_99) | ~ (p @ X0 @ sk__25))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_16])).
% 5.26/1.30 thf('136', plain, (( (zip_tseitin_99)) | (![X0 : $i]: ~ (p @ X0 @ sk__25))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl184])).
% 5.26/1.30 thf(zip_derived_cl185, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_99) | (p @ sk__26 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_16])).
% 5.26/1.30 thf('137', plain, (( (zip_tseitin_99)) | (![X0 : $i]: (p @ sk__26 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl185])).
% 5.26/1.30 thf(zip_derived_cl342, plain,
% 5.26/1.30 ((![X0 : $i]: (p @ sk__26 @ X0)) <= ((![X0 : $i]: (p @ sk__26 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl185])).
% 5.26/1.30 thf(zip_derived_cl340, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p @ X0 @ sk__25)) <= ((![X0 : $i]: ~ (p @ X0 @ sk__25)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl184])).
% 5.26/1.30 thf('138', plain,
% 5.26/1.30 (~ (![X0 : $i]: ~ (p @ X0 @ sk__25)) | ~ (![X0 : $i]: (p @ sk__26 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl342, zip_derived_cl340])).
% 5.26/1.30 thf(zip_derived_cl66, plain, (( (zip_tseitin_37) | ~ (b0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_144])).
% 5.26/1.30 thf('139', plain, (( (zip_tseitin_37)) | ~ ( (b0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl66])).
% 5.26/1.30 thf(zip_derived_cl67, plain, (( (zip_tseitin_37) | ~ (a0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_144])).
% 5.26/1.30 thf('140', plain, (( (zip_tseitin_37)) | ~ ( (a0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl67])).
% 5.26/1.30 thf(zip_derived_cl68, plain, (( (zip_tseitin_37) | ~ (zip_tseitin_8))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_144])).
% 5.26/1.30 thf('141', plain, (( (zip_tseitin_37)) | ~ ( (zip_tseitin_8))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl68])).
% 5.26/1.30 thf(zip_derived_cl16, plain, (( (zip_tseitin_8) | (b0) | (a0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_202])).
% 5.26/1.30 thf('142', plain, (( (b0)) | ( (a0)) | ( (zip_tseitin_8))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl16])).
% 5.26/1.30 thf(zip_derived_cl64, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_36) | ~ (a @ X0 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_146])).
% 5.26/1.30 thf('143', plain, (( (zip_tseitin_36)) | (![X0 : $i]: ~ (a @ X0 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl64])).
% 5.26/1.30 thf(zip_derived_cl65, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_36) | (zip_tseitin_35 @ (sk__9 @ X0) @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_146])).
% 5.26/1.30 thf('144', plain,
% 5.26/1.30 (( (zip_tseitin_36)) |
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_35 @ (sk__9 @ X0) @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl65])).
% 5.26/1.30 thf(zip_derived_cl261, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_35 @ (sk__9 @ X0) @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_35 @ (sk__9 @ X0) @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl65])).
% 5.26/1.30 thf(zip_derived_cl62, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (a @ X0 @ X0) | ~ (zip_tseitin_35 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_148])).
% 5.26/1.30 thf(zip_derived_cl614, plain,
% 5.26/1.30 ((![X0 : $i]: (a @ (sk__9 @ X0) @ (sk__9 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_35 @ (sk__9 @ X0) @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl62])).
% 5.26/1.30 thf(zip_derived_cl259, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (a @ X0 @ X0)) <= ((![X0 : $i]: ~ (a @ X0 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl64])).
% 5.26/1.30 thf('145', plain,
% 5.26/1.30 (~ (![X0 : $i]: ~ (a @ X0 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_35 @ (sk__9 @ X0) @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl614, zip_derived_cl259])).
% 5.26/1.30 thf(zip_derived_cl90, plain, (( (zip_tseitin_47) | ~ (p @ sk__12 @ sk__12))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_124])).
% 5.26/1.30 thf('146', plain, (( (zip_tseitin_47)) | ~ ( (p @ sk__12 @ sk__12))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl90])).
% 5.26/1.30 thf(zip_derived_cl91, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_47) | (p @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_124])).
% 5.26/1.30 thf('147', plain,
% 5.26/1.30 (( (zip_tseitin_47)) | (![X0 : $i, X1 : $i]: (p @ X0 @ X1))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl91])).
% 5.26/1.30 thf(zip_derived_cl277, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (p @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (p @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl91])).
% 5.26/1.30 thf(zip_derived_cl275, plain,
% 5.26/1.30 ((~ (p @ sk__12 @ sk__12)) <= (~ ( (p @ sk__12 @ sk__12)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl90])).
% 5.26/1.30 thf('148', plain,
% 5.26/1.30 (( (p @ sk__12 @ sk__12)) | ~ (![X0 : $i, X1 : $i]: (p @ X0 @ X1))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl277, zip_derived_cl275])).
% 5.26/1.30 thf(zip_derived_cl88, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_46 @ X0 @ X1 @ X2 @ X3) | ~ (p @ X3 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_126])).
% 5.26/1.30 thf(zip_derived_cl361, plain,
% 5.26/1.30 ((![X8 : $i, X9 : $i]: ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42))
% 5.26/1.30 <= ((![X8 : $i, X9 : $i]:
% 5.26/1.30 ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl757, plain,
% 5.26/1.30 ((~ (p @ sk__42 @ sk__43))
% 5.26/1.30 <= ((![X8 : $i, X9 : $i]:
% 5.26/1.30 ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl361])).
% 5.26/1.30 thf(zip_derived_cl89, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_46 @ X0 @ X1 @ X2 @ X3)
% 5.26/1.30 | (zip_tseitin_45 @ X0 @ X1 @ X2 @ X3))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_126])).
% 5.26/1.30 thf(zip_derived_cl361, plain,
% 5.26/1.30 ((![X8 : $i, X9 : $i]: ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42))
% 5.26/1.30 <= ((![X8 : $i, X9 : $i]:
% 5.26/1.30 ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl769, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_45 @ X1 @ X0 @ sk__43 @ sk__42))
% 5.26/1.30 <= ((![X8 : $i, X9 : $i]:
% 5.26/1.30 ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl361])).
% 5.26/1.30 thf(zip_derived_cl86, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_42 @ X0 @ X1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_45 @ X0 @ X1 @ X3 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_128])).
% 5.26/1.30 thf(zip_derived_cl778, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_42 @ X1 @ X0 @ sk__42))
% 5.26/1.30 <= ((![X8 : $i, X9 : $i]:
% 5.26/1.30 ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl769, zip_derived_cl86])).
% 5.26/1.30 thf(zip_derived_cl77, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (p @ X0 @ X1) | ~ (zip_tseitin_42 @ X1 @ X0 @ X2) | ~ (s1 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_134])).
% 5.26/1.30 thf(zip_derived_cl811, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: ( (p @ X0 @ X1) | ~ (s1 @ sk__42)))
% 5.26/1.30 <= ((![X8 : $i, X9 : $i]:
% 5.26/1.30 ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl778, zip_derived_cl77])).
% 5.26/1.30 thf(zip_derived_cl769, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_45 @ X1 @ X0 @ sk__43 @ sk__42))
% 5.26/1.30 <= ((![X8 : $i, X9 : $i]:
% 5.26/1.30 ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl361])).
% 5.26/1.30 thf(zip_derived_cl87, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (s1 @ X0) | ~ (zip_tseitin_45 @ X1 @ X2 @ X3 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_128])).
% 5.26/1.30 thf(zip_derived_cl774, plain,
% 5.26/1.30 (( (s1 @ sk__42))
% 5.26/1.30 <= ((![X8 : $i, X9 : $i]:
% 5.26/1.30 ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl769, zip_derived_cl87])).
% 5.26/1.30 thf(zip_derived_cl812, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (p @ X0 @ X1))
% 5.26/1.30 <= ((![X8 : $i, X9 : $i]:
% 5.26/1.30 ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl774])).
% 5.26/1.30 thf('149', plain,
% 5.26/1.30 (~ (![X8 : $i, X9 : $i]: ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl757, zip_derived_cl812])).
% 5.26/1.30 thf(zip_derived_cl38, plain,
% 5.26/1.30 (( (zip_tseitin_21) | (a @ sk__3 @ sk__2) | (a @ sk__4 @ sk__5))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_176])).
% 5.26/1.30 thf(zip_derived_cl234, plain,
% 5.26/1.30 (( (a @ sk__3 @ sk__2)) <= (( (a @ sk__3 @ sk__2)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl38])).
% 5.26/1.30 thf(zip_derived_cl37, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_21) | ~ (a @ X0 @ X1) | ~ (a @ X2 @ X3))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_176])).
% 5.26/1.30 thf(zip_derived_cl230, plain,
% 5.26/1.30 ((![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3))
% 5.26/1.30 <= ((![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl37])).
% 5.26/1.30 thf('150', plain,
% 5.26/1.30 (~ (![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3)) | ~ ( (a @ sk__3 @ sk__2))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl230])).
% 5.26/1.30 thf(zip_derived_cl233, plain,
% 5.26/1.30 (( (a @ sk__4 @ sk__5)) <= (( (a @ sk__4 @ sk__5)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl38])).
% 5.26/1.30 thf(zip_derived_cl230, plain,
% 5.26/1.30 ((![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3))
% 5.26/1.30 <= ((![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl37])).
% 5.26/1.30 thf('151', plain,
% 5.26/1.30 (~ (![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3)) | ~ ( (a @ sk__4 @ sk__5))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl233, zip_derived_cl230])).
% 5.26/1.30 thf('152', plain,
% 5.26/1.30 (( (zip_tseitin_21)) | (![X2 : $i, X3 : $i]: ~ (a @ X2 @ X3))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl37])).
% 5.26/1.30 thf('153', plain,
% 5.26/1.30 (( (zip_tseitin_21)) | ( (a @ sk__3 @ sk__2)) | ( (a @ sk__4 @ sk__5))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl38])).
% 5.26/1.30 thf(zip_derived_cl144, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (zip_tseitin_74 @ X0 @ X1)
% 5.26/1.30 | ~ (zip_tseitin_76 @ X0 @ X1 @ X2)
% 5.26/1.30 | (zip_tseitin_77 @ X0 @ X1 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_60])).
% 5.26/1.30 thf(zip_derived_cl362, plain,
% 5.26/1.30 ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl981, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_76 @ X1 @ (sk__35 @ X0) @ X0)
% 5.26/1.30 | ~ (zip_tseitin_74 @ X1 @ (sk__35 @ X0))))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl362])).
% 5.26/1.30 thf(zip_derived_cl142, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_76 @ X0 @ X1 @ X2) | ~ (p @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_62])).
% 5.26/1.30 thf(zip_derived_cl983, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_74 @ X1 @ (sk__35 @ X0)) | ~ (p @ X1 @ (sk__35 @ X0))))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl981, zip_derived_cl142])).
% 5.26/1.30 thf(zip_derived_cl981, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_76 @ X1 @ (sk__35 @ X0) @ X0)
% 5.26/1.30 | ~ (zip_tseitin_74 @ X1 @ (sk__35 @ X0))))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl362])).
% 5.26/1.30 thf(zip_derived_cl143, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_76 @ X0 @ X1 @ X2) | (zip_tseitin_75 @ X0 @ X2))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_62])).
% 5.26/1.30 thf(zip_derived_cl984, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_74 @ X1 @ (sk__35 @ X0))
% 5.26/1.30 | (zip_tseitin_75 @ X1 @ X0)))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl981, zip_derived_cl143])).
% 5.26/1.30 thf(zip_derived_cl139, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_74 @ X0 @ X1) | (p @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_66])).
% 5.26/1.30 thf(zip_derived_cl995, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (zip_tseitin_75 @ X1 @ X0) | (p @ X1 @ (sk__35 @ X0))))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl984, zip_derived_cl139])).
% 5.26/1.30 thf(zip_derived_cl138, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_74 @ X0 @ X1) | ~ (p @ X2 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_66])).
% 5.26/1.30 thf(zip_derived_cl1001, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_75 @ X1 @ X0) | (zip_tseitin_74 @ (sk__35 @ X0) @ X2)))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl995, zip_derived_cl138])).
% 5.26/1.30 thf(zip_derived_cl984, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_74 @ X1 @ (sk__35 @ X0))
% 5.26/1.30 | (zip_tseitin_75 @ X1 @ X0)))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl981, zip_derived_cl143])).
% 5.26/1.30 thf(zip_derived_cl1010, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_75 @ X2 @ X1) | (zip_tseitin_75 @ (sk__35 @ X1) @ X0)))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1001, zip_derived_cl984])).
% 5.26/1.30 thf(zip_derived_cl1035, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_75 @ (sk__35 @ X0) @ X0))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('eq_fact', [status(thm)], [zip_derived_cl1010])).
% 5.26/1.30 thf(zip_derived_cl140, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (p @ X0 @ X1) | ~ (zip_tseitin_75 @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_64])).
% 5.26/1.30 thf(zip_derived_cl1037, plain,
% 5.26/1.30 ((![X0 : $i]: (p @ X0 @ (sk__35 @ X0)))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1035, zip_derived_cl140])).
% 5.26/1.30 thf(zip_derived_cl1001, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_75 @ X1 @ X0) | (zip_tseitin_74 @ (sk__35 @ X0) @ X2)))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl995, zip_derived_cl138])).
% 5.26/1.30 thf(zip_derived_cl140, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (p @ X0 @ X1) | ~ (zip_tseitin_75 @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_64])).
% 5.26/1.30 thf(zip_derived_cl1007, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_74 @ (sk__35 @ X0) @ X2) | (p @ X0 @ X1)))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1001, zip_derived_cl140])).
% 5.26/1.30 thf(zip_derived_cl983, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (zip_tseitin_74 @ X1 @ (sk__35 @ X0)) | ~ (p @ X1 @ (sk__35 @ X0))))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl981, zip_derived_cl142])).
% 5.26/1.30 thf(zip_derived_cl1013, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (p @ X1 @ X2) | ~ (p @ (sk__35 @ X1) @ (sk__35 @ X0))))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1007, zip_derived_cl983])).
% 5.26/1.30 thf(zip_derived_cl1072, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (p @ X0 @ X1))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1037, zip_derived_cl1013])).
% 5.26/1.30 thf(zip_derived_cl1090, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: ~ (zip_tseitin_74 @ X1 @ (sk__35 @ X0)))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl983, zip_derived_cl1072])).
% 5.26/1.30 thf(zip_derived_cl1072, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (p @ X0 @ X1))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1037, zip_derived_cl1013])).
% 5.26/1.30 thf(zip_derived_cl138, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_74 @ X0 @ X1) | ~ (p @ X2 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_66])).
% 5.26/1.30 thf(zip_derived_cl1091, plain,
% 5.26/1.30 ((![X0 : $i, X2 : $i]: (zip_tseitin_74 @ X0 @ X2))
% 5.26/1.30 <= ((![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1072, zip_derived_cl138])).
% 5.26/1.30 thf('154', plain,
% 5.26/1.30 (~ (![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7))),
% 5.26/1.30 inference('demod', [status(thm)],
% 5.26/1.30 [zip_derived_cl1090, zip_derived_cl1091])).
% 5.26/1.30 thf(zip_derived_cl313, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_65 @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_65 @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl124])).
% 5.26/1.30 thf(zip_derived_cl372, plain,
% 5.26/1.30 ((~ (zip_tseitin_65 @ sk__40 @ sk__39))
% 5.26/1.30 <= (~ ( (zip_tseitin_65 @ sk__40 @ sk__39)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('155', plain,
% 5.26/1.30 (( (zip_tseitin_65 @ sk__40 @ sk__39)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_65 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl372])).
% 5.26/1.30 thf(zip_derived_cl135, plain,
% 5.26/1.30 (( (zip_tseitin_71 @ sk__19) | ~ (zip_tseitin_72))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_70])).
% 5.26/1.30 thf(zip_derived_cl316, plain,
% 5.26/1.30 (( (zip_tseitin_71 @ sk__19)) <= (( (zip_tseitin_71 @ sk__19)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl135])).
% 5.26/1.30 thf(zip_derived_cl133, plain,
% 5.26/1.30 (![X0 : $i]: (~ (q1 @ X0) | (r1 @ X0) | ~ (zip_tseitin_71 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_72])).
% 5.26/1.30 thf(zip_derived_cl749, plain,
% 5.26/1.30 (((~ (q1 @ sk__19) | (r1 @ sk__19))) <= (( (zip_tseitin_71 @ sk__19)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl316, zip_derived_cl133])).
% 5.26/1.30 thf(zip_derived_cl751, plain, ((~ (q1 @ sk__19)) <= (~ ( (q1 @ sk__19)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl749])).
% 5.26/1.30 thf(zip_derived_cl487, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | (q1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl19])).
% 5.26/1.30 thf(zip_derived_cl753, plain,
% 5.26/1.30 ((~ (p1 @ sk__19))
% 5.26/1.30 <= (~ ( (q1 @ sk__19)) & (![X0 : $i]: (zip_tseitin_10 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl751, zip_derived_cl487])).
% 5.26/1.30 thf(zip_derived_cl473, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl318, zip_derived_cl10])).
% 5.26/1.30 thf('156', plain,
% 5.26/1.30 (~ (![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0)) | ( (q1 @ sk__19)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl753, zip_derived_cl473])).
% 5.26/1.30 thf(zip_derived_cl750, plain, (( (r1 @ sk__19)) <= (( (r1 @ sk__19)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl749])).
% 5.26/1.30 thf(zip_derived_cl318, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl136])).
% 5.26/1.30 thf(zip_derived_cl9, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_5 @ X0 @ X1) | ~ (r1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_208])).
% 5.26/1.30 thf(zip_derived_cl472, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (r1 @ X0)) <= ((![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl318, zip_derived_cl9])).
% 5.26/1.30 thf('157', plain,
% 5.26/1.30 (~ (![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0)) | ~ ( (r1 @ sk__19))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl750, zip_derived_cl472])).
% 5.26/1.30 thf('158', plain, (( (zip_tseitin_71 @ sk__19)) | ~ ( (zip_tseitin_72))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl135])).
% 5.26/1.30 thf('159', plain,
% 5.26/1.30 (( (zip_tseitin_73)) | (![X0 : $i]: ~ (zip_tseitin_5 @ X0 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl136])).
% 5.26/1.30 thf(zip_derived_cl137, plain, (( (zip_tseitin_73) | (zip_tseitin_72))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_68])).
% 5.26/1.30 thf('160', plain, (( (zip_tseitin_73)) | ( (zip_tseitin_72))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl137])).
% 5.26/1.30 thf('161', plain,
% 5.26/1.30 (( (r1 @ sk__19)) | ~ ( (zip_tseitin_71 @ sk__19)) | ~ ( (q1 @ sk__19))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl749])).
% 5.26/1.30 thf(zip_derived_cl20, plain, (( (zip_tseitin_11) | ~ (q1 @ sk_))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_196])).
% 5.26/1.30 thf('162', plain, (( (zip_tseitin_11)) | ~ ( (q1 @ sk_))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl20])).
% 5.26/1.30 thf('163', plain, (( (zip_tseitin_11)) | (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf(zip_derived_cl487, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | (q1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl19])).
% 5.26/1.30 thf(zip_derived_cl212, plain, ((~ (q1 @ sk_)) <= (~ ( (q1 @ sk_)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl20])).
% 5.26/1.30 thf(zip_derived_cl526, plain,
% 5.26/1.30 ((~ (p1 @ sk_))
% 5.26/1.30 <= (~ ( (q1 @ sk_)) & (![X0 : $i]: (zip_tseitin_10 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl487, zip_derived_cl212])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('164', plain,
% 5.26/1.30 (( (q1 @ sk_)) | ~ (![X0 : $i]: (zip_tseitin_10 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl526, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl149, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_80 @ X0) | (zip_tseitin_79 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_54])).
% 5.26/1.30 thf(zip_derived_cl324, plain,
% 5.26/1.30 ((![X1 : $i]: (zip_tseitin_79 @ X1))
% 5.26/1.30 <= ((![X1 : $i]: (zip_tseitin_79 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl149])).
% 5.26/1.30 thf(zip_derived_cl147, plain,
% 5.26/1.30 (![X0 : $i]: (~ (r1 @ X0) | (p1 @ X0) | ~ (zip_tseitin_79 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_56])).
% 5.26/1.30 thf(zip_derived_cl938, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (r1 @ X0) | (p1 @ X0)))
% 5.26/1.30 <= ((![X1 : $i]: (zip_tseitin_79 @ X1)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl324, zip_derived_cl147])).
% 5.26/1.30 thf(zip_derived_cl744, plain,
% 5.26/1.30 (( (zip_tseitin_78 @ sk__34)) <= (~ ( (zip_tseitin_81 @ sk__34)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl375])).
% 5.26/1.30 thf(zip_derived_cl146, plain,
% 5.26/1.30 (![X0 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_78 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_58])).
% 5.26/1.30 thf(zip_derived_cl747, plain,
% 5.26/1.30 (( (r1 @ sk__34)) <= (~ ( (zip_tseitin_81 @ sk__34)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl744, zip_derived_cl146])).
% 5.26/1.30 thf(zip_derived_cl942, plain,
% 5.26/1.30 (( (p1 @ sk__34))
% 5.26/1.30 <= (~ ( (zip_tseitin_81 @ sk__34)) &
% 5.26/1.30 (![X1 : $i]: (zip_tseitin_79 @ X1)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl938, zip_derived_cl747])).
% 5.26/1.30 thf(zip_derived_cl150, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_81 @ X0) | ~ (zip_tseitin_80 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_52])).
% 5.26/1.30 thf(zip_derived_cl375, plain,
% 5.26/1.30 ((~ (zip_tseitin_81 @ sk__34)) <= (~ ( (zip_tseitin_81 @ sk__34)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl726, plain,
% 5.26/1.30 ((~ (zip_tseitin_80 @ sk__34)) <= (~ ( (zip_tseitin_81 @ sk__34)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl375])).
% 5.26/1.30 thf(zip_derived_cl148, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_80 @ X0) | ~ (q1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_54])).
% 5.26/1.30 thf(zip_derived_cl728, plain,
% 5.26/1.30 ((~ (q1 @ sk__34)) <= (~ ( (zip_tseitin_81 @ sk__34)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl726, zip_derived_cl148])).
% 5.26/1.30 thf(zip_derived_cl487, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (p1 @ X0) | (q1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_10 @ X0)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl19])).
% 5.26/1.30 thf(zip_derived_cl732, plain,
% 5.26/1.30 ((~ (p1 @ sk__34))
% 5.26/1.30 <= (~ ( (zip_tseitin_81 @ sk__34)) &
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_10 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl487])).
% 5.26/1.30 thf('165', plain,
% 5.26/1.30 (( (zip_tseitin_81 @ sk__34)) | ~ (![X1 : $i]: (zip_tseitin_79 @ X1)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl942, zip_derived_cl732])).
% 5.26/1.30 thf(zip_derived_cl726, plain,
% 5.26/1.30 ((~ (zip_tseitin_80 @ sk__34)) <= (~ ( (zip_tseitin_81 @ sk__34)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl375])).
% 5.26/1.30 thf(zip_derived_cl325, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_80 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_80 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl149])).
% 5.26/1.30 thf('166', plain,
% 5.26/1.30 (( (zip_tseitin_81 @ sk__34)) | ~ (![X0 : $i]: (zip_tseitin_80 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl726, zip_derived_cl325])).
% 5.26/1.30 thf('167', plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_80 @ X0)) |
% 5.26/1.30 (![X1 : $i]: (zip_tseitin_79 @ X1))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl149])).
% 5.26/1.30 thf('168', plain,
% 5.26/1.30 (( (zip_tseitin_12)) | (![X0 : $i]: (zip_tseitin_10 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl23])).
% 5.26/1.30 thf(zip_derived_cl359, plain,
% 5.26/1.30 ((![X11 : $i]: ~ (zip_tseitin_14 @ X11 @ (sk__51 @ X11)))
% 5.26/1.30 <= ((![X11 : $i]: ~ (zip_tseitin_14 @ X11 @ (sk__51 @ X11))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl25, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | ~ (p1 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl480, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ (sk__51 @ X0)))
% 5.26/1.30 <= ((![X11 : $i]: ~ (zip_tseitin_14 @ X11 @ (sk__51 @ X11))))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl359, zip_derived_cl25])).
% 5.26/1.30 thf(zip_derived_cl359, plain,
% 5.26/1.30 ((![X11 : $i]: ~ (zip_tseitin_14 @ X11 @ (sk__51 @ X11)))
% 5.26/1.30 <= ((![X11 : $i]: ~ (zip_tseitin_14 @ X11 @ (sk__51 @ X11))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl26, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]: ( (zip_tseitin_14 @ X0 @ X1) | (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_190])).
% 5.26/1.30 thf(zip_derived_cl481, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0))
% 5.26/1.30 <= ((![X11 : $i]: ~ (zip_tseitin_14 @ X11 @ (sk__51 @ X11))))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl359, zip_derived_cl26])).
% 5.26/1.30 thf('169', plain,
% 5.26/1.30 (~ (![X11 : $i]: ~ (zip_tseitin_14 @ X11 @ (sk__51 @ X11)))),
% 5.26/1.30 inference('demod', [status(thm)], [zip_derived_cl480, zip_derived_cl481])).
% 5.26/1.30 thf(zip_derived_cl75, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_41 @ X0) | ~ (p1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_136])).
% 5.26/1.30 thf(zip_derived_cl360, plain,
% 5.26/1.30 ((![X10 : $i]: ~ (zip_tseitin_41 @ X10))
% 5.26/1.30 <= ((![X10 : $i]: ~ (zip_tseitin_41 @ X10)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl648, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X10 : $i]: ~ (zip_tseitin_41 @ X10)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl360])).
% 5.26/1.30 thf(zip_derived_cl76, plain,
% 5.26/1.30 (![X0 : $i]: ( (zip_tseitin_41 @ X0) | (p1 @ sk__11))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_136])).
% 5.26/1.30 thf(zip_derived_cl274, plain, (( (p1 @ sk__11)) <= (( (p1 @ sk__11)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl76])).
% 5.26/1.30 thf('170', plain,
% 5.26/1.30 (~ (![X10 : $i]: ~ (zip_tseitin_41 @ X10)) | ~ ( (p1 @ sk__11))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl648, zip_derived_cl274])).
% 5.26/1.30 thf(zip_derived_cl273, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_41 @ X0))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_41 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl76])).
% 5.26/1.30 thf(zip_derived_cl360, plain,
% 5.26/1.30 ((![X10 : $i]: ~ (zip_tseitin_41 @ X10))
% 5.26/1.30 <= ((![X10 : $i]: ~ (zip_tseitin_41 @ X10)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('171', plain,
% 5.26/1.30 (~ (![X10 : $i]: ~ (zip_tseitin_41 @ X10)) |
% 5.26/1.30 ~ (![X0 : $i]: (zip_tseitin_41 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl273, zip_derived_cl360])).
% 5.26/1.30 thf('172', plain, ((![X0 : $i]: (zip_tseitin_41 @ X0)) | ( (p1 @ sk__11))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl76])).
% 5.26/1.30 thf(zip_derived_cl61, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_34 @ X0 @ X1) | (q1 @ (f @ X2)))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_150])).
% 5.26/1.30 thf(zip_derived_cl258, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_34 @ X0 @ X1))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_34 @ X0 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl61])).
% 5.26/1.30 thf(zip_derived_cl369, plain,
% 5.26/1.30 ((~ (zip_tseitin_34 @ sk__47 @ sk__46))
% 5.26/1.30 <= (~ ( (zip_tseitin_34 @ sk__47 @ sk__46)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('173', plain,
% 5.26/1.30 (( (zip_tseitin_34 @ sk__47 @ sk__46)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_34 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl369])).
% 5.26/1.30 thf('174', plain,
% 5.26/1.30 ((![X2 : $i]: (q1 @ (f @ X2))) |
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_4 @ X0 @ X1))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl7])).
% 5.26/1.30 thf('175', plain,
% 5.26/1.30 ((![X2 : $i]: (q1 @ (f @ X2))) |
% 5.26/1.30 (![X0 : $i, X1 : $i]: (zip_tseitin_34 @ X0 @ X1))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl61])).
% 5.26/1.30 thf(zip_derived_cl1556, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ (f @ X0)))
% 5.26/1.30 <= ((![X2 : $i]: (q1 @ (f @ X2))) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1549, zip_derived_cl196])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('176', plain,
% 5.26/1.30 (~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))) |
% 5.26/1.30 ~ (![X2 : $i]: (q1 @ (f @ X2))) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1556, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl1557, plain,
% 5.26/1.30 ((~ (p1 @ (f @ sk__44)))
% 5.26/1.30 <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)) &
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0))))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1549, zip_derived_cl650])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('177', plain,
% 5.26/1.30 (( (zip_tseitin_38 @ sk__45 @ sk__44)) | ~ (![X0 : $i]: (p1 @ X0)) |
% 5.26/1.30 ~ (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1557, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl640, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_38 @ X1 @ X0)
% 5.26/1.30 | ~ (q1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_32 @ X3 @ X2 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl59])).
% 5.26/1.30 thf(zip_derived_cl575, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 ( (zip_tseitin_32 @ X3 @ X2 @ X1 @ X0)
% 5.26/1.30 | ~ (p1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_2 @ X3 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl56])).
% 5.26/1.30 thf(zip_derived_cl1337, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.26/1.30 (~ (q1 @ X2)
% 5.26/1.30 | (zip_tseitin_38 @ X1 @ X0)
% 5.26/1.30 | ~ (p1 @ X2)
% 5.26/1.30 | ~ (zip_tseitin_2 @ X3 @ X0 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl640, zip_derived_cl575])).
% 5.26/1.30 thf('178', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0))) |
% 5.26/1.30 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1337])).
% 5.26/1.30 thf(zip_derived_cl404, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 (~ (r1 @ X0) | ~ (r1 @ X1) | (zip_tseitin_2 @ X2 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 5.26/1.30 thf(zip_derived_cl1763, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1337])).
% 5.26/1.30 thf(zip_derived_cl1766, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (r1 @ X1) | ~ (r1 @ X0) | (zip_tseitin_38 @ X0 @ X1)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl404, zip_derived_cl1763])).
% 5.26/1.30 thf(zip_derived_cl370, plain,
% 5.26/1.30 ((~ (zip_tseitin_38 @ sk__45 @ sk__44))
% 5.26/1.30 <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl1767, plain,
% 5.26/1.30 (((~ (r1 @ sk__45) | ~ (r1 @ sk__44)))
% 5.26/1.30 <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)) &
% 5.26/1.30 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1766, zip_derived_cl370])).
% 5.26/1.30 thf(zip_derived_cl1924, plain, ((~ (r1 @ sk__44)) <= (~ ( (r1 @ sk__44)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1767])).
% 5.26/1.30 thf(zip_derived_cl1548, plain,
% 5.26/1.30 ((![X1 : $i]: (r1 @ X1)) <= ((![X1 : $i]: (r1 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.30 thf('179', plain, (( (r1 @ sk__44)) | ~ (![X1 : $i]: (r1 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1924, zip_derived_cl1548])).
% 5.26/1.30 thf(zip_derived_cl1923, plain, ((~ (r1 @ sk__45)) <= (~ ( (r1 @ sk__45)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1767])).
% 5.26/1.30 thf(zip_derived_cl1548, plain,
% 5.26/1.30 ((![X1 : $i]: (r1 @ X1)) <= ((![X1 : $i]: (r1 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.30 thf('180', plain, (( (r1 @ sk__45)) | ~ (![X1 : $i]: (r1 @ X1))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1923, zip_derived_cl1548])).
% 5.26/1.30 thf(zip_derived_cl4, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (zip_tseitin_2 @ X0 @ X1 @ X2) | (r1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.26/1.30 thf(zip_derived_cl1763, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0))))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1337])).
% 5.26/1.30 thf(zip_derived_cl1765, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i, X2 : $i]:
% 5.26/1.30 ( (r1 @ X2) | (zip_tseitin_38 @ X0 @ X1)))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0))))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1763])).
% 5.26/1.30 thf('181', plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_38 @ X1 @ X0)) |
% 5.26/1.30 (![X1 : $i]: (r1 @ X1)) |
% 5.26/1.30 ~
% 5.26/1.30 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1765])).
% 5.26/1.30 thf(zip_derived_cl1737, plain,
% 5.26/1.30 ((![X0 : $i, X1 : $i]: (zip_tseitin_38 @ X1 @ X0))
% 5.26/1.30 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_38 @ X1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1336])).
% 5.26/1.30 thf(zip_derived_cl370, plain,
% 5.26/1.30 ((~ (zip_tseitin_38 @ sk__45 @ sk__44))
% 5.26/1.30 <= (~ ( (zip_tseitin_38 @ sk__45 @ sk__44)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf('182', plain,
% 5.26/1.30 (( (zip_tseitin_38 @ sk__45 @ sk__44)) |
% 5.26/1.30 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_38 @ X1 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1737, zip_derived_cl370])).
% 5.26/1.30 thf('183', plain,
% 5.26/1.30 (( (zip_tseitin_38 @ sk__45 @ sk__44)) | ~ ( (r1 @ sk__45)) |
% 5.26/1.30 ~ ( (r1 @ sk__44)) |
% 5.26/1.30 ~
% 5.26/1.30 (![X0 : $i, X1 : $i, X3 : $i]:
% 5.26/1.30 (~ (zip_tseitin_2 @ X3 @ X0 @ X1) | (zip_tseitin_38 @ X1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1767])).
% 5.26/1.30 thf(zip_derived_cl364, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl364, plain,
% 5.26/1.30 ((![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl191, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (a @ X0 @ X0) | (a @ X0 @ X1) | ~ (zip_tseitin_102 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.26/1.30 thf(zip_derived_cl1202, plain,
% 5.26/1.30 ((![X0 : $i]: ( (a @ X0 @ X0) | (a @ X0 @ sk__30)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl364, zip_derived_cl191])).
% 5.26/1.30 thf(zip_derived_cl1214, plain,
% 5.26/1.30 (( (a @ sk__30 @ sk__30))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30)))),
% 5.26/1.30 inference('eq_fact', [status(thm)], [zip_derived_cl1202])).
% 5.26/1.30 thf(zip_derived_cl192, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (a @ X0 @ X1) | ~ (a @ X0 @ X0) | ~ (zip_tseitin_102 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.26/1.30 thf(zip_derived_cl1217, plain,
% 5.26/1.30 ((![X0 : $i]: (~ (a @ sk__30 @ X0) | ~ (zip_tseitin_102 @ sk__30 @ X0)))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl1214, zip_derived_cl192])).
% 5.26/1.30 thf(zip_derived_cl1220, plain,
% 5.26/1.30 ((~ (a @ sk__30 @ sk__30))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30)))),
% 5.26/1.30 inference('s_sup-', [status(thm)],
% 5.26/1.30 [zip_derived_cl364, zip_derived_cl1217])).
% 5.26/1.30 thf(zip_derived_cl1214, plain,
% 5.26/1.30 (( (a @ sk__30 @ sk__30))
% 5.26/1.30 <= ((![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30)))),
% 5.26/1.30 inference('eq_fact', [status(thm)], [zip_derived_cl1202])).
% 5.26/1.30 thf('184', plain, (~ (![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30))),
% 5.26/1.30 inference('demod', [status(thm)],
% 5.26/1.30 [zip_derived_cl1220, zip_derived_cl1214])).
% 5.26/1.30 thf(zip_derived_cl40, plain, (( (zip_tseitin_23) | ~ (zip_tseitin_22))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_172])).
% 5.26/1.30 thf('185', plain, (( (zip_tseitin_23)) | ~ ( (zip_tseitin_22))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl40])).
% 5.26/1.30 thf(zip_derived_cl182, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 ( (zip_tseitin_98 @ X0 @ X1) | ~ (zip_tseitin_48 @ X1 @ X0))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_18])).
% 5.26/1.30 thf(zip_derived_cl376, plain,
% 5.26/1.30 ((~ (zip_tseitin_98 @ sk__32 @ sk__31))
% 5.26/1.30 <= (~ ( (zip_tseitin_98 @ sk__32 @ sk__31)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl957, plain,
% 5.26/1.30 ((~ (zip_tseitin_48 @ sk__31 @ sk__32))
% 5.26/1.30 <= (~ ( (zip_tseitin_98 @ sk__32 @ sk__31)))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl182, zip_derived_cl376])).
% 5.26/1.30 thf(zip_derived_cl92, plain,
% 5.26/1.30 (![X0 : $i, X1 : $i]:
% 5.26/1.30 (~ (p1 @ X0) | ~ (p1 @ X1) | (zip_tseitin_48 @ X0 @ X1))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_122])).
% 5.26/1.30 thf(zip_derived_cl959, plain,
% 5.26/1.30 (((~ (p1 @ sk__31) | ~ (p1 @ sk__32)))
% 5.26/1.30 <= (~ ( (zip_tseitin_98 @ sk__32 @ sk__31)))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl957, zip_derived_cl92])).
% 5.26/1.30 thf('186', plain,
% 5.26/1.30 (( (zip_tseitin_98 @ sk__32 @ sk__31)) | ~ ( (p1 @ sk__31)) |
% 5.26/1.30 ~ ( (p1 @ sk__32))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl959])).
% 5.26/1.30 thf(zip_derived_cl39, plain,
% 5.26/1.30 (( (zip_tseitin_22) | ~ (p1 @ sk__6) | ~ (p1 @ sk__7))),
% 5.26/1.30 inference('cnf', [status(esa)], [zf_stmt_174])).
% 5.26/1.30 thf('187', plain,
% 5.26/1.30 (( (zip_tseitin_22)) | ~ ( (p1 @ sk__7)) | ~ ( (p1 @ sk__6))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl39])).
% 5.26/1.30 thf('188', plain, (( (zip_tseitin_24)) | (![X0 : $i]: ~ (p1 @ X0))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl42])).
% 5.26/1.30 thf(zip_derived_cl962, plain, ((~ (p1 @ sk__31)) <= (~ ( (p1 @ sk__31)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl959])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('189', plain, (( (p1 @ sk__31)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl962, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl961, plain, ((~ (p1 @ sk__32)) <= (~ ( (p1 @ sk__32)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl959])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf('190', plain, (( (p1 @ sk__32)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup+', [status(thm)], [zip_derived_cl961, zip_derived_cl214])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf(zip_derived_cl236, plain, ((~ (p1 @ sk__7)) <= (~ ( (p1 @ sk__7)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl39])).
% 5.26/1.30 thf('191', plain, (( (p1 @ sk__7)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl236])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf(zip_derived_cl237, plain, ((~ (p1 @ sk__6)) <= (~ ( (p1 @ sk__6)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl39])).
% 5.26/1.30 thf('192', plain, (( (p1 @ sk__6)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl237])).
% 5.26/1.30 thf(zip_derived_cl214, plain,
% 5.26/1.30 ((![X0 : $i]: (p1 @ X0)) <= ((![X0 : $i]: (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl21])).
% 5.26/1.30 thf(zip_derived_cl243, plain,
% 5.26/1.30 ((![X0 : $i]: ~ (p1 @ X0)) <= ((![X0 : $i]: ~ (p1 @ X0)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl42])).
% 5.26/1.30 thf('193', plain, (~ (![X0 : $i]: ~ (p1 @ X0)) | ~ (![X0 : $i]: (p1 @ X0))),
% 5.26/1.30 inference('s_sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl243])).
% 5.26/1.30 thf('194', plain,
% 5.26/1.30 (~ ( (zip_tseitin_98 @ sk__32 @ sk__31)) | ~ ( (zip_tseitin_23)) |
% 5.26/1.30 (![X12 : $i, X13 : $i]: ~ (zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57)) |
% 5.26/1.30 ~ ( (zip_tseitin_103)) | ~ ( (zip_tseitin_95)) |
% 5.26/1.30 ~ ( (zip_tseitin_99)) | ~ ( (zip_tseitin_37)) | ~ ( (zip_tseitin_36)) |
% 5.26/1.30 ~ ( (zip_tseitin_47)) |
% 5.26/1.30 (![X8 : $i, X9 : $i]: ~ (zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42)) |
% 5.26/1.30 ~ ( (zip_tseitin_21)) | ~ ( (zip_tseitin_61)) | ~ ( (zip_tseitin_40)) |
% 5.26/1.30 ~ ( (zip_tseitin_101)) | ~ ( (zip_tseitin_54)) | ~ ( (zip_tseitin_9)) |
% 5.26/1.30 ~ ( (zip_tseitin_17 @ sk__56 @ sk__55)) |
% 5.26/1.30 ~ ( (zip_tseitin_70 @ sk__36)) | ~ ( (zip_tseitin_20)) |
% 5.26/1.30 ~ ( (zip_tseitin_65 @ sk__40 @ sk__39)) | ~ ( (zip_tseitin_97)) |
% 5.26/1.30 (![X6 : $i, X7 : $i]: ~ (zip_tseitin_77 @ X6 @ (sk__35 @ X7) @ X7)) |
% 5.26/1.30 ~ ( (zip_tseitin_58 @ sk__41)) | ~ ( (zip_tseitin_64)) |
% 5.26/1.30 ~ ( (zip_tseitin_49)) |
% 5.26/1.30 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.26/1.30 ~ (zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33)) |
% 5.26/1.30 ~ ( (zip_tseitin_30)) | ~ ( (zip_tseitin_65 @ sk__38 @ sk__37)) |
% 5.26/1.30 ~ ( (zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48)) |
% 5.26/1.30 ~ ( (zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52)) |
% 5.26/1.30 ~ ( (zip_tseitin_81 @ sk__34)) | ~ ( (zip_tseitin_73)) |
% 5.26/1.30 ~ ( (zip_tseitin_12)) | ~ ( (zip_tseitin_4 @ sk__60 @ sk__59)) |
% 5.26/1.30 (![X11 : $i]: ~ (zip_tseitin_14 @ X11 @ (sk__51 @ X11))) |
% 5.26/1.30 (![X10 : $i]: ~ (zip_tseitin_41 @ X10)) | ~ ( (zip_tseitin_24)) |
% 5.26/1.30 ~ ( (zip_tseitin_34 @ sk__47 @ sk__46)) |
% 5.26/1.30 ~ ( (zip_tseitin_38 @ sk__45 @ sk__44)) |
% 5.26/1.30 (![X0 : $i]: (zip_tseitin_102 @ X0 @ sk__30))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.30 thf(zip_derived_cl1854, plain, ((~ (r1 @ sk__59)) <= (~ ( (r1 @ sk__59)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1611])).
% 5.26/1.30 thf(zip_derived_cl1548, plain,
% 5.26/1.30 ((![X1 : $i]: (r1 @ X1)) <= ((![X1 : $i]: (r1 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.30 thf('195', plain, (~ (![X1 : $i]: (r1 @ X1)) | ( (r1 @ sk__59))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.30 [zip_derived_cl1854, zip_derived_cl1548])).
% 5.26/1.30 thf(zip_derived_cl1853, plain, ((~ (r1 @ sk__60)) <= (~ ( (r1 @ sk__60)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1611])).
% 5.26/1.30 thf(zip_derived_cl1548, plain,
% 5.26/1.30 ((![X1 : $i]: (r1 @ X1)) <= ((![X1 : $i]: (r1 @ X1)))),
% 5.26/1.30 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.30 thf('196', plain, (~ (![X1 : $i]: (r1 @ X1)) | ( (r1 @ sk__60))),
% 5.26/1.30 inference('s_sup+', [status(thm)],
% 5.26/1.31 [zip_derived_cl1853, zip_derived_cl1548])).
% 5.26/1.31 thf('197', plain,
% 5.26/1.31 ((![X1 : $i]: (r1 @ X1)) |
% 5.26/1.31 ~
% 5.26/1.31 (![X2 : $i, X3 : $i]:
% 5.26/1.31 ( (r1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))) |
% 5.26/1.31 (![X0 : $i]: (~ (p1 @ X0) | ~ (q1 @ X0)))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl1544])).
% 5.26/1.31 thf('198', plain,
% 5.26/1.31 ((![X2 : $i, X3 : $i]:
% 5.26/1.31 ( (r1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))) |
% 5.26/1.31 (![X0 : $i, X1 : $i]: (zip_tseitin_4 @ X0 @ X1))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl1223])).
% 5.26/1.31 thf(zip_derived_cl197, plain,
% 5.26/1.31 ((![X0 : $i, X1 : $i]: (zip_tseitin_4 @ X0 @ X1))
% 5.26/1.31 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_4 @ X0 @ X1)))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl7])).
% 5.26/1.31 thf(zip_derived_cl365, plain,
% 5.26/1.31 ((~ (zip_tseitin_4 @ sk__60 @ sk__59))
% 5.26/1.31 <= (~ ( (zip_tseitin_4 @ sk__60 @ sk__59)))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl195])).
% 5.26/1.31 thf('199', plain,
% 5.26/1.31 (~ (![X0 : $i, X1 : $i]: (zip_tseitin_4 @ X0 @ X1)) |
% 5.26/1.31 ( (zip_tseitin_4 @ sk__60 @ sk__59))),
% 5.26/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl197, zip_derived_cl365])).
% 5.26/1.31 thf('200', plain,
% 5.26/1.31 (~ ( (r1 @ sk__60)) | ~ ( (r1 @ sk__59)) |
% 5.26/1.31 ( (zip_tseitin_4 @ sk__60 @ sk__59)) |
% 5.26/1.31 ~
% 5.26/1.31 (![X0 : $i, X1 : $i]:
% 5.26/1.31 (~ (r1 @ X0) | ~ (r1 @ X1) | (zip_tseitin_4 @ X1 @ X0)))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl1611])).
% 5.26/1.31 thf('201', plain,
% 5.26/1.31 ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))) |
% 5.26/1.31 (![X0 : $i, X1 : $i]:
% 5.26/1.31 (~ (r1 @ X0) | ~ (r1 @ X1) | (zip_tseitin_4 @ X1 @ X0)))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl1224])).
% 5.26/1.31 thf(zip_derived_cl1581, plain,
% 5.26/1.31 ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3)))
% 5.26/1.31 <= ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl1224])).
% 5.26/1.31 thf(zip_derived_cl1, plain,
% 5.26/1.31 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | (p1 @ (f @ X0)))),
% 5.26/1.31 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.26/1.31 thf(zip_derived_cl1584, plain,
% 5.26/1.31 ((![X0 : $i, X1 : $i]: (~ (q1 @ X0) | (p1 @ (f @ X1))))
% 5.26/1.31 <= ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.31 inference('s_sup+', [status(thm)], [zip_derived_cl1581, zip_derived_cl1])).
% 5.26/1.31 thf('202', plain,
% 5.26/1.31 ((![X3 : $i]: (p1 @ (f @ X3))) |
% 5.26/1.31 ~ (![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))) |
% 5.26/1.31 (![X2 : $i]: ~ (q1 @ X2))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl1584])).
% 5.26/1.31 thf(zip_derived_cl1583, plain,
% 5.26/1.31 ((![X0 : $i]: (~ (q1 @ X0) | ~ (p1 @ X0)))
% 5.26/1.31 <= ((![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.31 inference('s_sup+', [status(thm)], [zip_derived_cl1581, zip_derived_cl0])).
% 5.26/1.31 thf(zip_derived_cl196, plain,
% 5.26/1.31 ((![X2 : $i]: (q1 @ (f @ X2))) <= ((![X2 : $i]: (q1 @ (f @ X2))))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl7])).
% 5.26/1.31 thf(zip_derived_cl1589, plain,
% 5.26/1.31 ((![X0 : $i]: ~ (p1 @ (f @ X0)))
% 5.26/1.31 <= ((![X2 : $i]: (q1 @ (f @ X2))) &
% 5.26/1.31 (![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))))),
% 5.26/1.31 inference('s_sup+', [status(thm)],
% 5.26/1.31 [zip_derived_cl1583, zip_derived_cl196])).
% 5.26/1.31 thf(zip_derived_cl1348, plain,
% 5.26/1.31 ((![X3 : $i]: (p1 @ (f @ X3))) <= ((![X3 : $i]: (p1 @ (f @ X3))))),
% 5.26/1.31 inference('split', [status(esa)], [zip_derived_cl1270])).
% 5.26/1.31 thf('203', plain,
% 5.26/1.31 (~ (![X3 : $i]: (p1 @ (f @ X3))) |
% 5.26/1.31 ~ (![X2 : $i, X3 : $i]: (~ (zip_tseitin_0 @ X2 @ X3) | ~ (q1 @ X3))) |
% 5.26/1.31 ~ (![X2 : $i]: (q1 @ (f @ X2)))),
% 5.26/1.31 inference('s_sup+', [status(thm)],
% 5.26/1.31 [zip_derived_cl1589, zip_derived_cl1348])).
% 5.26/1.31 thf(zip_derived_cl3077, plain, ($false),
% 5.26/1.31 inference('sat_resolution*', [status(thm)],
% 5.26/1.31 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 5.26/1.31 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 5.26/1.31 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 5.26/1.31 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 5.26/1.31 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51',
% 5.26/1.31 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61',
% 5.26/1.31 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71',
% 5.26/1.31 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81',
% 5.26/1.31 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91',
% 5.26/1.31 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101',
% 5.26/1.31 '102', '103', '104', '105', '106', '107', '108', '109',
% 5.26/1.31 '110', '111', '112', '113', '114', '115', '116', '117',
% 5.26/1.31 '118', '119', '120', '121', '122', '123', '124', '125',
% 5.26/1.31 '126', '127', '128', '129', '130', '131', '132', '133',
% 5.26/1.31 '134', '135', '136', '137', '138', '139', '140', '141',
% 5.26/1.31 '142', '143', '144', '145', '146', '147', '148', '149',
% 5.26/1.31 '150', '151', '152', '153', '154', '155', '156', '157',
% 5.26/1.31 '158', '159', '160', '161', '162', '163', '164', '165',
% 5.26/1.31 '166', '167', '168', '169', '170', '171', '172', '173',
% 5.26/1.31 '174', '175', '176', '177', '178', '179', '180', '181',
% 5.26/1.31 '182', '183', '184', '185', '186', '187', '188', '189',
% 5.26/1.31 '190', '191', '192', '193', '194', '195', '196', '197',
% 5.26/1.31 '198', '199', '200', '201', '202', '203'])).
% 5.26/1.31
% 5.26/1.31 % SZS output end Refutation
% 5.26/1.31
% 5.26/1.31
% 5.26/1.31 % Terminating...
% 5.73/1.37 % Runner terminated.
% 5.73/1.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------