TSTP Solution File: SYN938+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN938+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.C6VX6J3bt5 true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:06:18 EDT 2023
% Result : Theorem 5.41s 1.39s
% Output : Refutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 405
% Syntax : Number of formulae : 1316 ( 6 unt; 295 typ; 0 def)
% Number of atoms : 3102 ( 0 equ; 0 cnn)
% Maximal formula atoms : 203 ( 3 avg)
% Number of connectives : 8348 (1452 ~;1031 |; 321 &;4815 @)
% ( 14 <=>; 260 =>; 455 <=; 0 <~>)
% Maximal formula depth : 61 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 334 ( 334 >; 0 *; 0 +; 0 <<)
% Number of symbols : 188 ( 187 usr; 93 con; 0-6 aty)
% Number of variables : 2491 ( 0 ^;2358 !; 133 ?;2491 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(sk__30_type,type,
sk__30: $i ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $i > $i > $o ).
thf(sk__38_type,type,
sk__38: $i ).
thf(zip_tseitin_62_type,type,
zip_tseitin_62: $i > $i > $o ).
thf(sk__43_type,type,
sk__43: $i ).
thf(zip_tseitin_102_type,type,
zip_tseitin_102: $i > $i > $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_59_type,type,
zip_tseitin_59: $o ).
thf(zip_tseitin_73_type,type,
zip_tseitin_73: $o ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $i > $i > $o ).
thf(b0_type,type,
b0: $o ).
thf(sk__49_type,type,
sk__49: $i ).
thf(zip_tseitin_80_type,type,
zip_tseitin_80: $i > $o ).
thf(g_type,type,
g: $i > $o ).
thf(sk__45_type,type,
sk__45: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $o ).
thf(zip_tseitin_87_type,type,
zip_tseitin_87: $i > $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(zip_tseitin_49_type,type,
zip_tseitin_49: $o ).
thf(zip_tseitin_70_type,type,
zip_tseitin_70: $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__34_type,type,
sk__34: $i ).
thf(zip_tseitin_29_type,type,
zip_tseitin_29: $i > $i > $i > $o ).
thf(sk__42_type,type,
sk__42: $i ).
thf(sk__46_type,type,
sk__46: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(zip_tseitin_47_type,type,
zip_tseitin_47: $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(zip_tseitin_72_type,type,
zip_tseitin_72: $o ).
thf(sk__35_type,type,
sk__35: $i > $i ).
thf(z_type,type,
z: $i ).
thf(eq_type,type,
eq: $i > $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(a0_type,type,
a0: $o ).
thf(zip_tseitin_27_type,type,
zip_tseitin_27: $i > $i > $i > $o ).
thf(q1_type,type,
q1: $i > $o ).
thf(sk__55_type,type,
sk__55: $i ).
thf(zip_tseitin_55_type,type,
zip_tseitin_55: $i > $o ).
thf(sk__36_type,type,
sk__36: $i ).
thf(sk__57_type,type,
sk__57: $i ).
thf(sk__41_type,type,
sk__41: $i ).
thf(zip_tseitin_53_type,type,
zip_tseitin_53: $i > $o ).
thf(zip_tseitin_54_type,type,
zip_tseitin_54: $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(sk__28_type,type,
sk__28: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zip_tseitin_60_type,type,
zip_tseitin_60: $i > $o ).
thf(zip_tseitin_97_type,type,
zip_tseitin_97: $o ).
thf(zip_tseitin_84_type,type,
zip_tseitin_84: $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(b_type,type,
b: $i > $o ).
thf(zip_tseitin_36_type,type,
zip_tseitin_36: $o ).
thf(zip_tseitin_101_type,type,
zip_tseitin_101: $o ).
thf(sk__33_type,type,
sk__33: $i ).
thf(zip_tseitin_88_type,type,
zip_tseitin_88: $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(zip_tseitin_61_type,type,
zip_tseitin_61: $o ).
thf(zip_tseitin_77_type,type,
zip_tseitin_77: $i > $i > $i > $o ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $i > $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(q_type,type,
q: $i > $i > $o ).
thf(zip_tseitin_48_type,type,
zip_tseitin_48: $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $i > $i ).
thf(sk__39_type,type,
sk__39: $i ).
thf(zip_tseitin_93_type,type,
zip_tseitin_93: $i > $i > $o ).
thf(zip_tseitin_35_type,type,
zip_tseitin_35: $i > $i > $o ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_98_type,type,
zip_tseitin_98: $i > $i > $o ).
thf(a_type,type,
a: $i > $i > $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i > $i ).
thf(zip_tseitin_44_type,type,
zip_tseitin_44: $i > $i > $o ).
thf(r1_type,type,
r1: $i > $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $i > $i > $o ).
thf(sk__29_type,type,
sk__29: $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(zip_tseitin_56_type,type,
zip_tseitin_56: $o ).
thf(zip_tseitin_75_type,type,
zip_tseitin_75: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(zip_tseitin_81_type,type,
zip_tseitin_81: $i > $o ).
thf(zip_tseitin_31_type,type,
zip_tseitin_31: $i > $i > $i > $i > $o ).
thf(zip_tseitin_76_type,type,
zip_tseitin_76: $i > $i > $i > $o ).
thf(zip_tseitin_38_type,type,
zip_tseitin_38: $i > $i > $o ).
thf(zip_tseitin_89_type,type,
zip_tseitin_89: $i > $o ).
thf(zip_tseitin_82_type,type,
zip_tseitin_82: $i > $i > $o ).
thf(zip_tseitin_40_type,type,
zip_tseitin_40: $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(g0_type,type,
g0: $o ).
thf(zip_tseitin_90_type,type,
zip_tseitin_90: $i > $i > $o ).
thf(zip_tseitin_63_type,type,
zip_tseitin_63: $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(sk__20_type,type,
sk__20: $i > $i > $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(sk__type,type,
sk_: $i ).
thf(zip_tseitin_69_type,type,
zip_tseitin_69: $i > $i > $i > $o ).
thf(zip_tseitin_32_type,type,
zip_tseitin_32: $i > $i > $i > $i > $o ).
thf(sk__58_type,type,
sk__58: $i ).
thf(r_type,type,
r: $i > $i > $o ).
thf(c_type,type,
c: $i > $o ).
thf(sk__31_type,type,
sk__31: $i ).
thf(sk__32_type,type,
sk__32: $i ).
thf(zip_tseitin_86_type,type,
zip_tseitin_86: $i > $o ).
thf(sk__60_type,type,
sk__60: $i ).
thf(s1_type,type,
s1: $i > $o ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $o ).
thf(zip_tseitin_57_type,type,
zip_tseitin_57: $o ).
thf(p_type,type,
p: $i > $i > $o ).
thf(sk__59_type,type,
sk__59: $i ).
thf(sk__44_type,type,
sk__44: $i ).
thf(zip_tseitin_85_type,type,
zip_tseitin_85: $i > $o ).
thf(zip_tseitin_39_type,type,
zip_tseitin_39: $i > $o ).
thf(zip_tseitin_66_type,type,
zip_tseitin_66: $i > $i > $o ).
thf(zip_tseitin_68_type,type,
zip_tseitin_68: $i > $i > $i > $o ).
thf(zip_tseitin_78_type,type,
zip_tseitin_78: $i > $o ).
thf(zip_tseitin_30_type,type,
zip_tseitin_30: $o ).
thf(zip_tseitin_95_type,type,
zip_tseitin_95: $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(e_type,type,
e: $i > $o ).
thf(zip_tseitin_96_type,type,
zip_tseitin_96: $o ).
thf(zip_tseitin_45_type,type,
zip_tseitin_45: $i > $i > $i > $i > $o ).
thf(zip_tseitin_91_type,type,
zip_tseitin_91: $i > $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $i > $o ).
thf(zip_tseitin_43_type,type,
zip_tseitin_43: $i > $i > $o ).
thf(zip_tseitin_50_type,type,
zip_tseitin_50: $i > $o ).
thf(zip_tseitin_83_type,type,
zip_tseitin_83: $i > $o ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(a1_type,type,
a1: $i > $o ).
thf(zip_tseitin_71_type,type,
zip_tseitin_71: $i > $o ).
thf(zip_tseitin_52_type,type,
zip_tseitin_52: $o ).
thf(sk__40_type,type,
sk__40: $i ).
thf(s_type,type,
s: $i > $i > $o ).
thf(zip_tseitin_100_type,type,
zip_tseitin_100: $o ).
thf(sk__17_type,type,
sk__17: $i > $i ).
thf(sk__56_type,type,
sk__56: $i ).
thf(sk__25_type,type,
sk__25: $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(zip_tseitin_64_type,type,
zip_tseitin_64: $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(zip_tseitin_65_type,type,
zip_tseitin_65: $i > $i > $o ).
thf(zip_tseitin_94_type,type,
zip_tseitin_94: $i > $i > $o ).
thf(sk__47_type,type,
sk__47: $i ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $i > $i > $o ).
thf(zip_tseitin_99_type,type,
zip_tseitin_99: $o ).
thf(sk__27_type,type,
sk__27: $i ).
thf(zip_tseitin_26_type,type,
zip_tseitin_26: $i > $o ).
thf(zip_tseitin_67_type,type,
zip_tseitin_67: $i > $i > $o ).
thf(zip_tseitin_46_type,type,
zip_tseitin_46: $i > $i > $i > $i > $o ).
thf(a_member_of_type,type,
a_member_of: $i > $i > $o ).
thf(zip_tseitin_37_type,type,
zip_tseitin_37: $o ).
thf(sk__37_type,type,
sk__37: $i ).
thf(sk__51_type,type,
sk__51: $i > $i ).
thf(f0_type,type,
f0: $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(zip_tseitin_51_type,type,
zip_tseitin_51: $i > $o ).
thf(sk__53_type,type,
sk__53: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(q0_type,type,
q0: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(zip_tseitin_34_type,type,
zip_tseitin_34: $i > $i > $o ).
thf(zip_tseitin_92_type,type,
zip_tseitin_92: $i > $i > $i > $o ).
thf(zip_tseitin_41_type,type,
zip_tseitin_41: $i > $o ).
thf(zip_tseitin_103_type,type,
zip_tseitin_103: $o ).
thf(zip_tseitin_42_type,type,
zip_tseitin_42: $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(zip_tseitin_58_type,type,
zip_tseitin_58: $i > $o ).
thf(zip_tseitin_33_type,type,
zip_tseitin_33: $i > $i > $i > $i > $o ).
thf(zip_tseitin_74_type,type,
zip_tseitin_74: $i > $i > $o ).
thf(zip_tseitin_79_type,type,
zip_tseitin_79: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__52_type,type,
sk__52: $i ).
thf(zip_tseitin_28_type,type,
zip_tseitin_28: $i > $i > $o ).
thf(sk__54_type,type,
sk__54: $i ).
thf(prove_this,conjecture,
( ( ( ? [Y: $i] :
( ( q1 @ Y )
=> ( r1 @ Y ) )
& ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) ) )
=> ? [Z: $i] :
( ( p1 @ Z )
=> ( r1 @ Z ) ) )
& ! [B: $i] :
( ! [Y: $i] :
( ( ( r1 @ B )
=> ( r1 @ Y ) )
=> ( p @ ( f @ Y ) @ Y ) )
=> ? [X: $i,Y: $i] :
( ( p @ X @ Y )
& ( ( q @ ( f @ B ) @ B )
=> ( q @ X @ Y ) ) ) )
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( s1 @ A )
& ( ( s1 @ A )
=> ( p @ X @ Y ) )
& ( r1 @ B )
& ( r1 @ A )
& ( ( r1 @ Y )
=> ( p @ B @ Y ) )
& ( q1 @ B )
& ( q1 @ A )
& ( ( q1 @ X )
=> ( p @ X @ A ) ) )
=> ( p @ A @ B ) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ! [A: $i] :
( ( ! [X: $i] :
( ( p1 @ X )
& ( q1 @ X ) )
& ( g0
| f0 ) )
=> ( q1 @ A ) )
& ( ! [X: $i,Y: $i] : ( p @ X @ Y )
=> ! [X: $i] : ( p @ X @ X ) )
& ( ? [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
& ( ( p1 @ z )
=> ( p1 @ z ) )
& ( ? [X: $i] :
! [Y: $i] : ( p @ X @ Y )
=> ! [Y: $i] :
? [X: $i] : ( p @ X @ Y ) )
& ? [Y: $i] :
( ? [X: $i] : ( p1 @ X )
=> ( p1 @ Y ) )
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] :
( ( ( p1 @ X )
=> ( r1 @ Y ) )
=> ( ( p1 @ A )
=> ( r1 @ B ) ) )
& ! [B: $i] :
( ( ( r1 @ B )
& ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) ) )
=> ( ! [Y: $i] :
( ( r1 @ Y )
=> ( p1 @ Y ) )
=> ( q1 @ B ) ) )
& ? [X: $i] :
! [Y: $i] :
( ( p1 @ X )
=> ( p1 @ Y ) )
& ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ( ! [X: $i,Y: $i] :
( ( eq @ X @ Y )
<=> ! [Z: $i] :
( ( a_member_of @ Z @ X )
<=> ( a_member_of @ Z @ Y ) ) )
=> ! [A: $i,B: $i] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ) )
& ? [Z: $i] :
! [X: $i] :
? [Y: $i] :
( ( ( p @ Y @ X )
=> ? [W: $i] : ( p @ W @ Y ) )
& ( ( ( p @ Y @ Z )
& ( p @ Z @ Y ) )
=> ( p @ Y @ X ) ) )
& ( ? [X: $i] : ( p1 @ X )
=> ? [Z: $i] : ( p1 @ Z ) )
& ( ? [X: $i] : ( p1 @ X )
<=> ? [Y: $i] : ( p1 @ Y ) )
& ( ! [X: $i] : ( p1 @ X )
=> ( ! [Y: $i] : ( p1 @ Y )
& ! [X: $i] : ( p1 @ X ) ) )
& ! [A: $i,B: $i] :
( ! [X: $i] : ( p1 @ X )
=> ( ( p1 @ B )
& ( p1 @ A ) ) )
& ( ? [X: $i,Y: $i] : ( a @ X @ Y )
<=> ? [Y: $i,X: $i] : ( a @ X @ Y ) )
& ( ? [X: $i] : ( b @ X )
=> ? [X: $i] :
( ( a1 @ X )
| ( b @ X ) ) )
& ( ( ! [X: $i] : ( b @ X )
& ? [X: $i] : ( a1 @ X ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( b @ X ) ) )
& ~ ? [Y: $i] :
! [X: $i] :
( ( a @ X @ Y )
<=> ~ ( a @ X @ X ) )
& ( ? [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ! [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
& ( ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
=> ( ? [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) ) )
& ! [A: $i,B: $i] :
( ! [Z: $i] :
( ( q1 @ Z )
=> ( p1 @ Z ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ( ! [X: $i] :
( ( p1 @ X )
=> ( q1 @ X ) )
=> ( ! [X: $i] : ( p1 @ X )
=> ! [X: $i] : ( q1 @ X ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
& ( ? [X: $i] : ( p1 @ X )
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X: $i] : ( p1 @ X ) ) )
& ! [A: $i,B: $i] :
( ! [Y: $i] :
( ( q1 @ Y )
=> ( p1 @ Y ) )
=> ? [X: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
& ( ( q1 @ X )
=> ( p1 @ B ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ( r @ B @ C )
& ( s1 @ B )
& ( s1 @ A ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) )
& ( ! [X: $i] :
? [Y: $i] :
( ( a @ X @ Y )
& ( a @ Y @ Y ) )
=> ? [Z: $i] : ( a @ Z @ Z ) )
& ( ! [X: $i] :
? [Y: $i] :
( ( p1 @ X )
& ( q1 @ Y ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
& ( ( ? [Y: $i] : ( q1 @ Y )
& ! [X: $i] : ( p1 @ X ) )
=> ? [Z: $i] :
! [Y: $i] :
( ( p1 @ Y )
| ( r1 @ Z ) ) )
& ( ! [X: $i] : ( p1 @ X )
=> ! [A: $i,B: $i] :
( ( p1 @ A )
& ( p1 @ B ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ! [X: $i,Y: $i] :
( ( r @ X @ Y )
=> ( q @ X @ Y ) )
& ! [X: $i] :
( ( s1 @ X )
=> ( p1 @ X ) )
& ( r @ B @ C )
& ( s1 @ B )
& ( s1 @ A ) )
=> ? [X: $i,Y: $i] :
( ( p1 @ X )
& ( q @ X @ Y ) ) )
& ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
( ( ( ( s @ A @ Y )
=> ( p1 @ Y ) )
& ( ( e @ X2 )
=> ( ( c @ ( f @ X2 ) )
| ( g @ X2 ) ) )
& ( ( e @ X )
=> ( ( s @ X @ ( f @ X ) )
| ( g @ X ) ) )
& ( e @ A )
& ( p1 @ A ) )
=> ( ( ( c @ X4 )
& ( p1 @ X4 ) )
| ( ( g @ X3 )
& ( p1 @ X3 ) ) ) )
& ( ( ~ ! [X: $i] :
( ( a1 @ X )
=> ( b @ X ) )
& ! [X: $i] :
( ( a1 @ X )
=> ( ( c @ X )
| ( b @ X ) ) ) )
=> ? [X: $i] :
( ( a1 @ X )
& ( c @ X ) ) )
& ! [B: $i,C: $i] :
( ( q1 @ ( f @ B ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( ( r1 @ Y )
=> ( ( r1 @ C )
& ( r1 @ B ) ) )
& ( p1 @ X ) ) )
& ( q1 @ X ) ) )
& ! [B: $i,C: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( ( ( r1 @ Y )
=> ( ( r1 @ C )
& ( r1 @ B ) ) )
& ( p1 @ X ) ) )
& ( q1 @ X ) ) )
& ! [C: $i,B: $i] :
( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( p1 @ X ) )
& ( ( r1 @ Y )
=> ( ( r1 @ C )
& ( r1 @ B ) ) )
& ( q1 @ X ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [Y: $i,B: $i,C: $i] :
( ( ( r1 @ Y )
=> ( zip_tseitin_1 @ B @ C ) )
=> ( zip_tseitin_2 @ Y @ B @ C ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ( r1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,axiom,
! [B: $i,C: $i] :
( ( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] : ( zip_tseitin_3 @ Y @ X @ B @ C ) )
=> ( zip_tseitin_4 @ B @ C ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X0 @ X1 )
| ~ ( zip_tseitin_3 @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
! [Y: $i,X: $i,B: $i,C: $i] :
( ( ( q1 @ X )
& ( zip_tseitin_2 @ Y @ B @ C )
& ( zip_tseitin_0 @ Y @ X ) )
=> ( zip_tseitin_3 @ Y @ X @ B @ C ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( q1 @ X1 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X3 )
| ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X1 @ X0 )
| ~ ( zip_tseitin_0 @ X3 @ X2 )
| ~ ( q1 @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).
thf(zip_derived_cl1223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r1 @ X2 )
| ( zip_tseitin_4 @ X1 @ X0 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl408]) ).
thf(zip_derived_cl1542,plain,
( ! [X2: $i,X3: $i] :
( ( r1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ( r1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1223]) ).
thf(zf_stmt_3,axiom,
! [Y: $i,X: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( p1 @ X ) )
=> ( zip_tseitin_0 @ Y @ X ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( p1 @ ( f @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1545,plain,
( ! [X0: $i,X1: $i] :
( ~ ( q1 @ X0 )
| ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) )
<= ! [X2: $i,X3: $i] :
( ( r1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl1]) ).
thf(zip_derived_cl1574,plain,
( ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) )
<= ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1545]) ).
thf(zip_derived_cl1542_001,plain,
( ! [X2: $i,X3: $i] :
( ( r1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ( r1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1223]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1544,plain,
( ! [X0: $i,X1: $i] :
( ~ ( q1 @ X0 )
| ( r1 @ X1 )
| ~ ( p1 @ X0 ) )
<= ! [X2: $i,X3: $i] :
( ( r1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl0]) ).
thf(zip_derived_cl1549,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X0 @ X1 )
| ( q1 @ ( f @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl196,plain,
( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
<= ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1556,plain,
( ! [X0: $i] :
~ ( p1 @ ( f @ X0 ) )
<= ( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl196]) ).
thf(zip_derived_cl1786,plain,
( ! [X0: $i] : ( r1 @ X0 )
<= ( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
& ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1574,zip_derived_cl1556]) ).
thf(zf_stmt_4,axiom,
! [B: $i,C: $i] :
( ( ( r1 @ B )
& ( r1 @ C ) )
=> ( zip_tseitin_1 @ B @ C ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_1 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ( zip_tseitin_2 @ X2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl408_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_4 @ X1 @ X0 )
| ~ ( zip_tseitin_0 @ X3 @ X2 )
| ~ ( q1 @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).
thf(zip_derived_cl1224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 )
| ~ ( r1 @ X0 )
| ( zip_tseitin_4 @ X1 @ X0 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl408]) ).
thf(zip_derived_cl1582,plain,
( ! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ( zip_tseitin_4 @ X1 @ X0 ) )
<= ! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ( zip_tseitin_4 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1224]) ).
thf(zf_stmt_5,type,
zip_tseitin_103: $o ).
thf(zf_stmt_6,axiom,
( ( ? [X: $i] : ( p1 @ X )
<=> ? [Y: $i] : ( p1 @ Y ) )
=> zip_tseitin_103 ) ).
thf(zf_stmt_7,type,
zip_tseitin_102: $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [X: $i,Y: $i] :
( ( zip_tseitin_102 @ X @ Y )
=> ( ( a @ X @ Y )
<=> ~ ( a @ X @ X ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_101: $o ).
thf(zf_stmt_10,axiom,
( ( ! [X: $i] : ( zip_tseitin_18 @ X )
=> zip_tseitin_100 )
=> zip_tseitin_101 ) ).
thf(zf_stmt_11,type,
zip_tseitin_100: $o ).
thf(zf_stmt_12,axiom,
( ( ? [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) )
=> zip_tseitin_100 ) ).
thf(zf_stmt_13,type,
zip_tseitin_18: $i > $o ).
thf(zf_stmt_14,axiom,
! [X: $i] :
( ( zip_tseitin_18 @ X )
=> ( ( a1 @ X )
=> ( b @ X ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_99: $o ).
thf(zf_stmt_16,axiom,
( ( ? [X: $i] :
! [Y: $i] : ( p @ X @ Y )
=> ! [Y: $i] :
? [X: $i] : ( p @ X @ Y ) )
=> zip_tseitin_99 ) ).
thf(zf_stmt_17,type,
zip_tseitin_98: $i > $i > $o ).
thf(zf_stmt_18,axiom,
! [B: $i,A: $i] :
( ( ! [X: $i] : ( p1 @ X )
=> ( zip_tseitin_48 @ A @ B ) )
=> ( zip_tseitin_98 @ B @ A ) ) ).
thf(zf_stmt_19,type,
zip_tseitin_97: $o ).
thf(zf_stmt_20,axiom,
( ( zip_tseitin_96
=> ? [Z: $i] :
! [Y: $i] : ( zip_tseitin_63 @ Y @ Z ) )
=> zip_tseitin_97 ) ).
thf(zf_stmt_21,type,
zip_tseitin_96: $o ).
thf(zf_stmt_22,axiom,
( zip_tseitin_96
=> ( ! [X: $i] : ( p1 @ X )
& ? [Y: $i] : ( q1 @ Y ) ) ) ).
thf(zf_stmt_23,type,
zip_tseitin_95: $o ).
thf(zf_stmt_24,axiom,
( ( ! [X: $i,Y: $i] : ( zip_tseitin_93 @ Y @ X )
=> ! [A: $i,B: $i] : ( zip_tseitin_94 @ B @ A ) )
=> zip_tseitin_95 ) ).
thf(zf_stmt_25,type,
zip_tseitin_94: $i > $i > $o ).
thf(zf_stmt_26,axiom,
! [B: $i,A: $i] :
( ( ( eq @ A @ B )
=> ( eq @ B @ A ) )
=> ( zip_tseitin_94 @ B @ A ) ) ).
thf(zf_stmt_27,type,
zip_tseitin_93: $i > $i > $o ).
thf(zf_stmt_28,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_93 @ Y @ X )
=> ( ( eq @ X @ Y )
<=> ! [Z: $i] : ( zip_tseitin_92 @ Z @ Y @ X ) ) ) ).
thf(zf_stmt_29,type,
zip_tseitin_92: $i > $i > $i > $o ).
thf(zf_stmt_30,axiom,
! [Z: $i,Y: $i,X: $i] :
( ( zip_tseitin_92 @ Z @ Y @ X )
<=> ( ( a_member_of @ Z @ X )
<=> ( a_member_of @ Z @ Y ) ) ) ).
thf(zf_stmt_31,type,
zip_tseitin_91: $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_32,axiom,
! [Y: $i,X4: $i,X3: $i,X2: $i,X: $i,A: $i] :
( ( ( zip_tseitin_87 @ Y @ X2 @ X @ A )
=> ( zip_tseitin_90 @ X4 @ X3 ) )
=> ( zip_tseitin_91 @ Y @ X4 @ X3 @ X2 @ X @ A ) ) ).
thf(zf_stmt_33,type,
zip_tseitin_90: $i > $i > $o ).
thf(zf_stmt_34,axiom,
! [X4: $i,X3: $i] :
( ( ( zip_tseitin_89 @ X3 )
| ( zip_tseitin_88 @ X4 ) )
=> ( zip_tseitin_90 @ X4 @ X3 ) ) ).
thf(zf_stmt_35,type,
zip_tseitin_89: $i > $o ).
thf(zf_stmt_36,axiom,
! [X3: $i] :
( ( ( p1 @ X3 )
& ( g @ X3 ) )
=> ( zip_tseitin_89 @ X3 ) ) ).
thf(zf_stmt_37,type,
zip_tseitin_88: $i > $o ).
thf(zf_stmt_38,axiom,
! [X4: $i] :
( ( ( p1 @ X4 )
& ( c @ X4 ) )
=> ( zip_tseitin_88 @ X4 ) ) ).
thf(zf_stmt_39,type,
zip_tseitin_87: $i > $i > $i > $i > $o ).
thf(zf_stmt_40,axiom,
! [Y: $i,X2: $i,X: $i,A: $i] :
( ( zip_tseitin_87 @ Y @ X2 @ X @ A )
=> ( ( p1 @ A )
& ( e @ A )
& ( zip_tseitin_86 @ X )
& ( zip_tseitin_84 @ X2 )
& ( zip_tseitin_82 @ Y @ A ) ) ) ).
thf(zf_stmt_41,type,
zip_tseitin_86: $i > $o ).
thf(zf_stmt_42,axiom,
! [X: $i] :
( ( zip_tseitin_86 @ X )
=> ( ( e @ X )
=> ( zip_tseitin_85 @ X ) ) ) ).
thf(zf_stmt_43,type,
zip_tseitin_85: $i > $o ).
thf(zf_stmt_44,axiom,
! [X: $i] :
( ( zip_tseitin_85 @ X )
=> ( ( g @ X )
| ( s @ X @ ( f @ X ) ) ) ) ).
thf(zf_stmt_45,type,
zip_tseitin_84: $i > $o ).
thf(zf_stmt_46,axiom,
! [X2: $i] :
( ( zip_tseitin_84 @ X2 )
=> ( ( e @ X2 )
=> ( zip_tseitin_83 @ X2 ) ) ) ).
thf(zf_stmt_47,type,
zip_tseitin_83: $i > $o ).
thf(zf_stmt_48,axiom,
! [X2: $i] :
( ( zip_tseitin_83 @ X2 )
=> ( ( g @ X2 )
| ( c @ ( f @ X2 ) ) ) ) ).
thf(zf_stmt_49,type,
zip_tseitin_82: $i > $i > $o ).
thf(zf_stmt_50,axiom,
! [Y: $i,A: $i] :
( ( zip_tseitin_82 @ Y @ A )
=> ( ( s @ A @ Y )
=> ( p1 @ Y ) ) ) ).
thf(zf_stmt_51,type,
zip_tseitin_81: $i > $o ).
thf(zf_stmt_52,axiom,
! [B: $i] :
( ( ( zip_tseitin_78 @ B )
=> ( zip_tseitin_80 @ B ) )
=> ( zip_tseitin_81 @ B ) ) ).
thf(zf_stmt_53,type,
zip_tseitin_80: $i > $o ).
thf(zf_stmt_54,axiom,
! [B: $i] :
( ( ! [Y: $i] : ( zip_tseitin_79 @ Y )
=> ( q1 @ B ) )
=> ( zip_tseitin_80 @ B ) ) ).
thf(zf_stmt_55,type,
zip_tseitin_79: $i > $o ).
thf(zf_stmt_56,axiom,
! [Y: $i] :
( ( zip_tseitin_79 @ Y )
=> ( ( r1 @ Y )
=> ( p1 @ Y ) ) ) ).
thf(zf_stmt_57,type,
zip_tseitin_78: $i > $o ).
thf(zf_stmt_58,axiom,
! [B: $i] :
( ( zip_tseitin_78 @ B )
=> ( ! [X: $i] : ( zip_tseitin_10 @ X )
& ( r1 @ B ) ) ) ).
thf(zf_stmt_59,type,
zip_tseitin_77: $i > $i > $i > $o ).
thf(zf_stmt_60,axiom,
! [Y: $i,X: $i,Z: $i] :
( ( ( zip_tseitin_76 @ Y @ X @ Z )
& ( zip_tseitin_74 @ Y @ X ) )
=> ( zip_tseitin_77 @ Y @ X @ Z ) ) ).
thf(zf_stmt_61,type,
zip_tseitin_76: $i > $i > $i > $o ).
thf(zf_stmt_62,axiom,
! [Y: $i,X: $i,Z: $i] :
( ( ( zip_tseitin_75 @ Y @ Z )
=> ( p @ Y @ X ) )
=> ( zip_tseitin_76 @ Y @ X @ Z ) ) ).
thf(zf_stmt_63,type,
zip_tseitin_75: $i > $i > $o ).
thf(zf_stmt_64,axiom,
! [Y: $i,Z: $i] :
( ( zip_tseitin_75 @ Y @ Z )
=> ( ( p @ Z @ Y )
& ( p @ Y @ Z ) ) ) ).
thf(zf_stmt_65,type,
zip_tseitin_74: $i > $i > $o ).
thf(zf_stmt_66,axiom,
! [Y: $i,X: $i] :
( ( ( p @ Y @ X )
=> ? [W: $i] : ( p @ W @ Y ) )
=> ( zip_tseitin_74 @ Y @ X ) ) ).
thf(zf_stmt_67,type,
zip_tseitin_73: $o ).
thf(zf_stmt_68,axiom,
( ( zip_tseitin_72
=> ? [Z: $i] : ( zip_tseitin_5 @ Z @ Z ) )
=> zip_tseitin_73 ) ).
thf(zf_stmt_69,type,
zip_tseitin_72: $o ).
thf(zf_stmt_70,axiom,
( zip_tseitin_72
=> ( ! [X: $i] : ( zip_tseitin_10 @ X )
& ? [Y: $i] : ( zip_tseitin_71 @ Y ) ) ) ).
thf(zf_stmt_71,type,
zip_tseitin_71: $i > $o ).
thf(zf_stmt_72,axiom,
! [Y: $i] :
( ( zip_tseitin_71 @ Y )
=> ( ( q1 @ Y )
=> ( r1 @ Y ) ) ) ).
thf(zf_stmt_73,type,
zip_tseitin_70: $i > $o ).
thf(zf_stmt_74,axiom,
! [B: $i] :
( ( ! [Y: $i] : ( zip_tseitin_67 @ Y @ B )
=> ? [X: $i,Y: $i] : ( zip_tseitin_69 @ Y @ X @ B ) )
=> ( zip_tseitin_70 @ B ) ) ).
thf(zf_stmt_75,type,
zip_tseitin_69: $i > $i > $i > $o ).
thf(zf_stmt_76,axiom,
! [Y: $i,X: $i,B: $i] :
( ( ( zip_tseitin_68 @ Y @ X @ B )
& ( p @ X @ Y ) )
=> ( zip_tseitin_69 @ Y @ X @ B ) ) ).
thf(zf_stmt_77,type,
zip_tseitin_68: $i > $i > $i > $o ).
thf(zf_stmt_78,axiom,
! [Y: $i,X: $i,B: $i] :
( ( ( q @ ( f @ B ) @ B )
=> ( q @ X @ Y ) )
=> ( zip_tseitin_68 @ Y @ X @ B ) ) ).
thf(zf_stmt_79,type,
zip_tseitin_67: $i > $i > $o ).
thf(zf_stmt_80,axiom,
! [Y: $i,B: $i] :
( ( zip_tseitin_67 @ Y @ B )
=> ( ( zip_tseitin_66 @ Y @ B )
=> ( p @ ( f @ Y ) @ Y ) ) ) ).
thf(zf_stmt_81,type,
zip_tseitin_66: $i > $i > $o ).
thf(zf_stmt_82,axiom,
! [Y: $i,B: $i] :
( ( ( r1 @ B )
=> ( r1 @ Y ) )
=> ( zip_tseitin_66 @ Y @ B ) ) ).
thf(zf_stmt_83,type,
zip_tseitin_65: $i > $i > $o ).
thf(zf_stmt_84,axiom,
! [B: $i,A: $i] :
( ( ! [Y: $i] : ( zip_tseitin_15 @ Y @ Y )
=> ? [X: $i] : ( zip_tseitin_16 @ X @ B @ A ) )
=> ( zip_tseitin_65 @ B @ A ) ) ).
thf(zf_stmt_85,type,
zip_tseitin_15: $i > $i > $o ).
thf(zf_stmt_86,axiom,
! [Y: $i] :
( ( zip_tseitin_15 @ Y @ Y )
=> ( ( q1 @ Y )
=> ( p1 @ Y ) ) ) ).
thf(zf_stmt_87,type,
zip_tseitin_64: $o ).
thf(zf_stmt_88,axiom,
( ( ! [X: $i] :
? [Y: $i] : ( zip_tseitin_62 @ Y @ X )
=> ? [Z: $i] :
! [Y: $i] : ( zip_tseitin_63 @ Y @ Z ) )
=> zip_tseitin_64 ) ).
thf(zf_stmt_89,type,
zip_tseitin_63: $i > $i > $o ).
thf(zf_stmt_90,axiom,
! [Y: $i,Z: $i] :
( ( ( r1 @ Z )
| ( p1 @ Y ) )
=> ( zip_tseitin_63 @ Y @ Z ) ) ).
thf(zf_stmt_91,type,
zip_tseitin_62: $i > $i > $o ).
thf(zf_stmt_92,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_62 @ Y @ X )
=> ( ( q1 @ Y )
& ( p1 @ X ) ) ) ).
thf(zf_stmt_93,type,
zip_tseitin_61: $o ).
thf(zf_stmt_94,axiom,
( ( zip_tseitin_59
=> ? [X: $i] : ( zip_tseitin_60 @ X ) )
=> zip_tseitin_61 ) ).
thf(zf_stmt_95,type,
zip_tseitin_60: $i > $o ).
thf(zf_stmt_96,axiom,
! [X: $i] :
( ( ( b @ X )
& ( a1 @ X ) )
=> ( zip_tseitin_60 @ X ) ) ).
thf(zf_stmt_97,type,
zip_tseitin_59: $o ).
thf(zf_stmt_98,axiom,
( zip_tseitin_59
=> ( ? [X: $i] : ( a1 @ X )
& ! [X: $i] : ( b @ X ) ) ) ).
thf(zf_stmt_99,type,
zip_tseitin_58: $i > $o ).
thf(zf_stmt_100,axiom,
! [A: $i] :
( ( zip_tseitin_57
=> ( q1 @ A ) )
=> ( zip_tseitin_58 @ A ) ) ).
thf(zf_stmt_101,type,
zip_tseitin_57: $o ).
thf(zf_stmt_102,axiom,
( zip_tseitin_57
=> ( zip_tseitin_56
& ! [X: $i] : ( zip_tseitin_55 @ X ) ) ) ).
thf(zf_stmt_103,type,
zip_tseitin_56: $o ).
thf(zf_stmt_104,axiom,
( zip_tseitin_56
=> ( f0
| g0 ) ) ).
thf(zf_stmt_105,type,
zip_tseitin_55: $i > $o ).
thf(zf_stmt_106,axiom,
! [X: $i] :
( ( zip_tseitin_55 @ X )
=> ( ( q1 @ X )
& ( p1 @ X ) ) ) ).
thf(zf_stmt_107,type,
zip_tseitin_54: $o ).
thf(zf_stmt_108,axiom,
( ( zip_tseitin_52
=> ? [X: $i] : ( zip_tseitin_53 @ X ) )
=> zip_tseitin_54 ) ).
thf(zf_stmt_109,type,
zip_tseitin_53: $i > $o ).
thf(zf_stmt_110,axiom,
! [X: $i] :
( ( ( c @ X )
& ( a1 @ X ) )
=> ( zip_tseitin_53 @ X ) ) ).
thf(zf_stmt_111,type,
zip_tseitin_52: $o ).
thf(zf_stmt_112,axiom,
( zip_tseitin_52
=> ( ! [X: $i] : ( zip_tseitin_51 @ X )
& ~ ! [X: $i] : ( zip_tseitin_18 @ X ) ) ) ).
thf(zf_stmt_113,type,
zip_tseitin_51: $i > $o ).
thf(zf_stmt_114,axiom,
! [X: $i] :
( ( zip_tseitin_51 @ X )
=> ( ( a1 @ X )
=> ( zip_tseitin_50 @ X ) ) ) ).
thf(zf_stmt_115,type,
zip_tseitin_50: $i > $o ).
thf(zf_stmt_116,axiom,
! [X: $i] :
( ( zip_tseitin_50 @ X )
=> ( ( b @ X )
| ( c @ X ) ) ) ).
thf(zf_stmt_117,type,
zip_tseitin_18: $i > $o ).
thf(zf_stmt_118,axiom,
! [X: $i] :
( ( ( a1 @ X )
=> ( b @ X ) )
=> ( zip_tseitin_18 @ X ) ) ).
thf(zf_stmt_119,type,
zip_tseitin_49: $o ).
thf(zf_stmt_120,axiom,
( ( ! [X: $i] : ( p1 @ X )
=> ! [A: $i,B: $i] : ( zip_tseitin_48 @ B @ A ) )
=> zip_tseitin_49 ) ).
thf(zf_stmt_121,type,
zip_tseitin_48: $i > $i > $o ).
thf(zf_stmt_122,axiom,
! [B: $i,A: $i] :
( ( ( p1 @ B )
& ( p1 @ A ) )
=> ( zip_tseitin_48 @ B @ A ) ) ).
thf(zf_stmt_123,type,
zip_tseitin_47: $o ).
thf(zf_stmt_124,axiom,
( ( ! [X: $i,Y: $i] : ( p @ X @ Y )
=> ! [X: $i] : ( p @ X @ X ) )
=> zip_tseitin_47 ) ).
thf(zf_stmt_125,type,
zip_tseitin_46: $i > $i > $i > $i > $o ).
thf(zf_stmt_126,axiom,
! [Y: $i,X: $i,B: $i,A: $i] :
( ( ( zip_tseitin_45 @ Y @ X @ B @ A )
=> ( p @ A @ B ) )
=> ( zip_tseitin_46 @ Y @ X @ B @ A ) ) ).
thf(zf_stmt_127,type,
zip_tseitin_45: $i > $i > $i > $i > $o ).
thf(zf_stmt_128,axiom,
! [Y: $i,X: $i,B: $i,A: $i] :
( ( zip_tseitin_45 @ Y @ X @ B @ A )
=> ( ( zip_tseitin_44 @ X @ A )
& ( q1 @ A )
& ( q1 @ B )
& ( zip_tseitin_43 @ Y @ B )
& ( r1 @ A )
& ( r1 @ B )
& ( zip_tseitin_42 @ Y @ X @ A )
& ( s1 @ A ) ) ) ).
thf(zf_stmt_129,type,
zip_tseitin_44: $i > $i > $o ).
thf(zf_stmt_130,axiom,
! [X: $i,A: $i] :
( ( zip_tseitin_44 @ X @ A )
=> ( ( q1 @ X )
=> ( p @ X @ A ) ) ) ).
thf(zf_stmt_131,type,
zip_tseitin_43: $i > $i > $o ).
thf(zf_stmt_132,axiom,
! [Y: $i,B: $i] :
( ( zip_tseitin_43 @ Y @ B )
=> ( ( r1 @ Y )
=> ( p @ B @ Y ) ) ) ).
thf(zf_stmt_133,type,
zip_tseitin_42: $i > $i > $i > $o ).
thf(zf_stmt_134,axiom,
! [Y: $i,X: $i,A: $i] :
( ( zip_tseitin_42 @ Y @ X @ A )
=> ( ( s1 @ A )
=> ( p @ X @ Y ) ) ) ).
thf(zf_stmt_135,type,
zip_tseitin_41: $i > $o ).
thf(zf_stmt_136,axiom,
! [Y: $i] :
( ( ? [X: $i] : ( p1 @ X )
=> ( p1 @ Y ) )
=> ( zip_tseitin_41 @ Y ) ) ).
thf(zf_stmt_137,type,
zip_tseitin_40: $o ).
thf(zf_stmt_138,axiom,
( ( ? [X: $i] : ( b @ X )
=> ? [X: $i] : ( zip_tseitin_39 @ X ) )
=> zip_tseitin_40 ) ).
thf(zf_stmt_139,type,
zip_tseitin_39: $i > $o ).
thf(zf_stmt_140,axiom,
! [X: $i] :
( ( ( b @ X )
| ( a1 @ X ) )
=> ( zip_tseitin_39 @ X ) ) ).
thf(zf_stmt_141,type,
zip_tseitin_38: $i > $i > $o ).
thf(zf_stmt_142,axiom,
! [C: $i,B: $i] :
( ( ( q1 @ ( f @ B ) )
=> ? [X: $i,Y: $i] : ( zip_tseitin_33 @ Y @ X @ C @ B ) )
=> ( zip_tseitin_38 @ C @ B ) ) ).
thf(zf_stmt_143,type,
zip_tseitin_37: $o ).
thf(zf_stmt_144,axiom,
( ( b0
| a0
| zip_tseitin_8 )
=> zip_tseitin_37 ) ).
thf(zf_stmt_145,type,
zip_tseitin_36: $o ).
thf(zf_stmt_146,axiom,
( ( ! [X: $i] :
? [Y: $i] : ( zip_tseitin_35 @ Y @ X )
=> ? [Z: $i] : ( a @ Z @ Z ) )
=> zip_tseitin_36 ) ).
thf(zf_stmt_147,type,
zip_tseitin_35: $i > $i > $o ).
thf(zf_stmt_148,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_35 @ Y @ X )
=> ( ( a @ Y @ Y )
& ( a @ X @ Y ) ) ) ).
thf(zf_stmt_149,type,
zip_tseitin_34: $i > $i > $o ).
thf(zf_stmt_150,axiom,
! [C: $i,B: $i] :
( ( ! [Z: $i] : ( q1 @ ( f @ Z ) )
=> ? [X: $i,Y: $i] : ( zip_tseitin_33 @ Y @ X @ C @ B ) )
=> ( zip_tseitin_34 @ C @ B ) ) ).
thf(zf_stmt_151,type,
zip_tseitin_33: $i > $i > $i > $i > $o ).
thf(zf_stmt_152,axiom,
! [Y: $i,X: $i,C: $i,B: $i] :
( ( ( q1 @ X )
& ( zip_tseitin_32 @ Y @ X @ C @ B ) )
=> ( zip_tseitin_33 @ Y @ X @ C @ B ) ) ).
thf(zf_stmt_153,type,
zip_tseitin_32: $i > $i > $i > $i > $o ).
thf(zf_stmt_154,axiom,
! [Y: $i,X: $i,C: $i,B: $i] :
( ( ( p1 @ ( f @ Y ) )
=> ( zip_tseitin_31 @ Y @ X @ C @ B ) )
=> ( zip_tseitin_32 @ Y @ X @ C @ B ) ) ).
thf(zf_stmt_155,type,
zip_tseitin_31: $i > $i > $i > $i > $o ).
thf(zf_stmt_156,axiom,
! [Y: $i,X: $i,C: $i,B: $i] :
( ( ( p1 @ X )
& ( zip_tseitin_2 @ Y @ B @ C ) )
=> ( zip_tseitin_31 @ Y @ X @ C @ B ) ) ).
thf(zf_stmt_157,type,
zip_tseitin_30: $o ).
thf(zf_stmt_158,axiom,
( ( ? [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
=> zip_tseitin_30 ) ).
thf(zf_stmt_159,type,
zip_tseitin_29: $i > $i > $i > $o ).
thf(zf_stmt_160,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( zip_tseitin_27 @ C @ B @ A )
=> ? [X: $i,Y: $i] : ( zip_tseitin_28 @ Y @ X ) )
=> ( zip_tseitin_29 @ C @ B @ A ) ) ).
thf(zf_stmt_161,type,
zip_tseitin_28: $i > $i > $o ).
thf(zf_stmt_162,axiom,
! [Y: $i,X: $i] :
( ( ( q @ X @ Y )
& ( p1 @ X ) )
=> ( zip_tseitin_28 @ Y @ X ) ) ).
thf(zf_stmt_163,type,
zip_tseitin_27: $i > $i > $i > $o ).
thf(zf_stmt_164,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_27 @ C @ B @ A )
=> ( ( s1 @ A )
& ( s1 @ B )
& ( r @ B @ C )
& ! [X: $i] : ( zip_tseitin_26 @ X )
& ! [X: $i,Y: $i] : ( zip_tseitin_25 @ Y @ X ) ) ) ).
thf(zf_stmt_165,type,
zip_tseitin_26: $i > $o ).
thf(zf_stmt_166,axiom,
! [X: $i] :
( ( zip_tseitin_26 @ X )
=> ( ( s1 @ X )
=> ( p1 @ X ) ) ) ).
thf(zf_stmt_167,type,
zip_tseitin_25: $i > $i > $o ).
thf(zf_stmt_168,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_25 @ Y @ X )
=> ( ( r @ X @ Y )
=> ( q @ X @ Y ) ) ) ).
thf(zf_stmt_169,type,
zip_tseitin_24: $o ).
thf(zf_stmt_170,axiom,
( ( ! [X: $i] : ( p1 @ X )
=> ? [Y: $i] : ( p1 @ Y ) )
=> zip_tseitin_24 ) ).
thf(zf_stmt_171,type,
zip_tseitin_23: $o ).
thf(zf_stmt_172,axiom,
( ( ! [X: $i] : ( p1 @ X )
=> zip_tseitin_22 )
=> zip_tseitin_23 ) ).
thf(zf_stmt_173,type,
zip_tseitin_22: $o ).
thf(zf_stmt_174,axiom,
( ( ! [X: $i] : ( p1 @ X )
& ! [Y: $i] : ( p1 @ Y ) )
=> zip_tseitin_22 ) ).
thf(zf_stmt_175,type,
zip_tseitin_21: $o ).
thf(zf_stmt_176,axiom,
( ( ? [X: $i,Y: $i] : ( a @ X @ Y )
<=> ? [Y: $i,X: $i] : ( a @ X @ Y ) )
=> zip_tseitin_21 ) ).
thf(zf_stmt_177,type,
zip_tseitin_20: $o ).
thf(zf_stmt_178,axiom,
( ( ? [X: $i] : ( zip_tseitin_18 @ X )
=> zip_tseitin_19 )
=> zip_tseitin_20 ) ).
thf(zf_stmt_179,type,
zip_tseitin_19: $o ).
thf(zf_stmt_180,axiom,
( ( ! [X: $i] : ( a1 @ X )
=> ? [X: $i] : ( b @ X ) )
=> zip_tseitin_19 ) ).
thf(zf_stmt_181,type,
zip_tseitin_18: $i > $o ).
thf(zf_stmt_182,axiom,
! [X: $i] :
( ( zip_tseitin_18 @ X )
=> ( ( a1 @ X )
=> ( b @ X ) ) ) ).
thf(zf_stmt_183,type,
zip_tseitin_17: $i > $i > $o ).
thf(zf_stmt_184,axiom,
! [B: $i,A: $i] :
( ( ! [Y: $i] : ( zip_tseitin_13 @ Y )
=> ? [X: $i] : ( zip_tseitin_16 @ X @ B @ A ) )
=> ( zip_tseitin_17 @ B @ A ) ) ).
thf(zf_stmt_185,type,
zip_tseitin_16: $i > $i > $i > $o ).
thf(zf_stmt_186,axiom,
! [X: $i,B: $i,A: $i] :
( ( ( zip_tseitin_15 @ X @ B )
& ( zip_tseitin_14 @ X @ A ) )
=> ( zip_tseitin_16 @ X @ B @ A ) ) ).
thf(zf_stmt_187,type,
zip_tseitin_15: $i > $i > $o ).
thf(zf_stmt_188,axiom,
! [X: $i,B: $i] :
( ( ( q1 @ X )
=> ( p1 @ B ) )
=> ( zip_tseitin_15 @ X @ B ) ) ).
thf(zf_stmt_189,type,
zip_tseitin_14: $i > $i > $o ).
thf(zf_stmt_190,axiom,
! [X: $i,A: $i] :
( ( ( p1 @ X )
=> ( p1 @ A ) )
=> ( zip_tseitin_14 @ X @ A ) ) ).
thf(zf_stmt_191,type,
zip_tseitin_13: $i > $o ).
thf(zf_stmt_192,axiom,
! [Y: $i] :
( ( zip_tseitin_13 @ Y )
=> ( ( q1 @ Y )
=> ( p1 @ Y ) ) ) ).
thf(zf_stmt_193,type,
zip_tseitin_12: $o ).
thf(zf_stmt_194,axiom,
( ( ! [X: $i] : ( zip_tseitin_10 @ X )
=> zip_tseitin_11 )
=> zip_tseitin_12 ) ).
thf(zf_stmt_195,type,
zip_tseitin_11: $o ).
thf(zf_stmt_196,axiom,
( ( ! [X: $i] : ( p1 @ X )
=> ! [X: $i] : ( q1 @ X ) )
=> zip_tseitin_11 ) ).
thf(zf_stmt_197,type,
zip_tseitin_10: $i > $o ).
thf(zf_stmt_198,axiom,
! [X: $i] :
( ( zip_tseitin_10 @ X )
=> ( ( p1 @ X )
=> ( q1 @ X ) ) ) ).
thf(zf_stmt_199,type,
zip_tseitin_9: $o ).
thf(zf_stmt_200,axiom,
( ( zip_tseitin_7
=> zip_tseitin_8 )
=> zip_tseitin_9 ) ).
thf(zf_stmt_201,type,
zip_tseitin_8: $o ).
thf(zf_stmt_202,axiom,
( ( a0
<=> b0 )
=> zip_tseitin_8 ) ).
thf(zf_stmt_203,type,
zip_tseitin_7: $o ).
thf(zf_stmt_204,axiom,
( zip_tseitin_7
=> ( a0
& b0 ) ) ).
thf(zf_stmt_205,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_206,axiom,
! [Y: $i,X: $i,B: $i,A: $i] :
( ( ( zip_tseitin_5 @ Y @ X )
=> ( zip_tseitin_5 @ B @ A ) )
=> ( zip_tseitin_6 @ Y @ X @ B @ A ) ) ).
thf(zf_stmt_207,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_208,axiom,
! [B: $i,A: $i] :
( ( ( p1 @ A )
=> ( r1 @ B ) )
=> ( zip_tseitin_5 @ B @ A ) ) ).
thf(zf_stmt_209,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_210,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_5 @ Y @ X )
=> ( ( p1 @ X )
=> ( r1 @ Y ) ) ) ).
thf(zf_stmt_211,type,
zip_tseitin_4: $i > $i > $o ).
thf(zf_stmt_212,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(zf_stmt_213,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_214,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_215,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_216,conjecture,
( zip_tseitin_103
& ~ ? [Y: $i] :
! [X: $i] : ( zip_tseitin_102 @ X @ Y )
& zip_tseitin_101
& zip_tseitin_99
& ! [A: $i,B: $i] : ( zip_tseitin_98 @ B @ A )
& zip_tseitin_97
& zip_tseitin_95
& ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] : ( zip_tseitin_91 @ Y @ X4 @ X3 @ X2 @ X @ A )
& ! [B: $i] : ( zip_tseitin_81 @ B )
& ? [Z: $i] :
! [X: $i] :
? [Y: $i] : ( zip_tseitin_77 @ Y @ X @ Z )
& zip_tseitin_30
& zip_tseitin_73
& ! [B: $i] : ( zip_tseitin_70 @ B )
& ! [A: $i,B: $i] : ( zip_tseitin_65 @ B @ A )
& ! [A: $i,B: $i] : ( zip_tseitin_65 @ B @ A )
& zip_tseitin_64
& zip_tseitin_61
& ! [A: $i] : ( zip_tseitin_58 @ A )
& zip_tseitin_54
& zip_tseitin_49
& zip_tseitin_47
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] : ( zip_tseitin_46 @ Y @ X @ B @ A )
& ? [Y: $i] : ( zip_tseitin_41 @ Y )
& zip_tseitin_40
& ! [B: $i,C: $i] : ( zip_tseitin_38 @ C @ B )
& zip_tseitin_37
& zip_tseitin_36
& ! [B: $i,C: $i] : ( zip_tseitin_34 @ C @ B )
& zip_tseitin_30
& zip_tseitin_30
& ! [A: $i,B: $i,C: $i] : ( zip_tseitin_29 @ C @ B @ A )
& ? [X: $i] :
! [Y: $i] : ( zip_tseitin_14 @ X @ Y )
& ! [A: $i,B: $i,C: $i] : ( zip_tseitin_29 @ C @ B @ A )
& zip_tseitin_24
& zip_tseitin_23
& zip_tseitin_21
& zip_tseitin_20
& ! [A: $i,B: $i] : ( zip_tseitin_17 @ B @ A )
& zip_tseitin_12
& zip_tseitin_9
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] : ( zip_tseitin_6 @ Y @ X @ B @ A )
& ! [C: $i,B: $i] : ( zip_tseitin_4 @ B @ C ) ) ).
thf(zf_stmt_217,negated_conjecture,
~ ( zip_tseitin_103
& ~ ? [Y: $i] :
! [X: $i] : ( zip_tseitin_102 @ X @ Y )
& zip_tseitin_101
& zip_tseitin_99
& ! [A: $i,B: $i] : ( zip_tseitin_98 @ B @ A )
& zip_tseitin_97
& zip_tseitin_95
& ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] : ( zip_tseitin_91 @ Y @ X4 @ X3 @ X2 @ X @ A )
& ! [B: $i] : ( zip_tseitin_81 @ B )
& ? [Z: $i] :
! [X: $i] :
? [Y: $i] : ( zip_tseitin_77 @ Y @ X @ Z )
& zip_tseitin_30
& zip_tseitin_73
& ! [B: $i] : ( zip_tseitin_70 @ B )
& ! [A: $i,B: $i] : ( zip_tseitin_65 @ B @ A )
& ! [A: $i,B: $i] : ( zip_tseitin_65 @ B @ A )
& zip_tseitin_64
& zip_tseitin_61
& ! [A: $i] : ( zip_tseitin_58 @ A )
& zip_tseitin_54
& zip_tseitin_49
& zip_tseitin_47
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] : ( zip_tseitin_46 @ Y @ X @ B @ A )
& ? [Y: $i] : ( zip_tseitin_41 @ Y )
& zip_tseitin_40
& ! [B: $i,C: $i] : ( zip_tseitin_38 @ C @ B )
& zip_tseitin_37
& zip_tseitin_36
& ! [B: $i,C: $i] : ( zip_tseitin_34 @ C @ B )
& zip_tseitin_30
& zip_tseitin_30
& ! [A: $i,B: $i,C: $i] : ( zip_tseitin_29 @ C @ B @ A )
& ? [X: $i] :
! [Y: $i] : ( zip_tseitin_14 @ X @ Y )
& ! [A: $i,B: $i,C: $i] : ( zip_tseitin_29 @ C @ B @ A )
& zip_tseitin_24
& zip_tseitin_23
& zip_tseitin_21
& zip_tseitin_20
& ! [A: $i,B: $i] : ( zip_tseitin_17 @ B @ A )
& zip_tseitin_12
& zip_tseitin_9
& ! [A: $i,B: $i] :
? [X: $i,Y: $i] : ( zip_tseitin_6 @ Y @ X @ B @ A )
& ! [C: $i,B: $i] : ( zip_tseitin_4 @ B @ C ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_216]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ zip_tseitin_103
| ( zip_tseitin_102 @ X0 @ sk__30 )
| ~ zip_tseitin_101
| ~ zip_tseitin_99
| ~ ( zip_tseitin_98 @ sk__32 @ sk__31 )
| ~ zip_tseitin_97
| ~ zip_tseitin_95
| ~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 )
| ~ ( zip_tseitin_81 @ sk__34 )
| ~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 )
| ~ zip_tseitin_30
| ~ zip_tseitin_73
| ~ ( zip_tseitin_70 @ sk__36 )
| ~ ( zip_tseitin_65 @ sk__38 @ sk__37 )
| ~ ( zip_tseitin_65 @ sk__40 @ sk__39 )
| ~ zip_tseitin_64
| ~ zip_tseitin_61
| ~ ( zip_tseitin_58 @ sk__41 )
| ~ zip_tseitin_54
| ~ zip_tseitin_49
| ~ zip_tseitin_47
| ~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 )
| ~ ( zip_tseitin_41 @ X10 )
| ~ zip_tseitin_40
| ~ ( zip_tseitin_38 @ sk__45 @ sk__44 )
| ~ zip_tseitin_37
| ~ zip_tseitin_36
| ~ ( zip_tseitin_34 @ sk__47 @ sk__46 )
| ~ zip_tseitin_30
| ~ zip_tseitin_30
| ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
| ~ ( zip_tseitin_14 @ X11 @ ( sk__51 @ X11 ) )
| ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
| ~ zip_tseitin_24
| ~ zip_tseitin_23
| ~ zip_tseitin_21
| ~ zip_tseitin_20
| ~ ( zip_tseitin_17 @ sk__56 @ sk__55 )
| ~ zip_tseitin_12
| ~ zip_tseitin_9
| ~ ( zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57 )
| ~ ( zip_tseitin_4 @ sk__60 @ sk__59 ) ),
inference(cnf,[status(esa)],[zf_stmt_217]) ).
thf(zip_derived_cl365,plain,
( ~ ( zip_tseitin_4 @ sk__60 @ sk__59 )
<= ~ ( zip_tseitin_4 @ sk__60 @ sk__59 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1611,plain,
( ( ~ ( r1 @ sk__60 )
| ~ ( r1 @ sk__59 ) )
<= ( ~ ( zip_tseitin_4 @ sk__60 @ sk__59 )
& ! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ( zip_tseitin_4 @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1582,zip_derived_cl365]) ).
thf(zip_derived_cl1853,plain,
( ~ ( r1 @ sk__60 )
<= ~ ( r1 @ sk__60 ) ),
inference(split,[status(esa)],[zip_derived_cl1611]) ).
thf('0',plain,
( ( r1 @ sk__60 )
| ~ ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1786,zip_derived_cl1853]) ).
thf(zip_derived_cl1786_003,plain,
( ! [X0: $i] : ( r1 @ X0 )
<= ( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
& ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1574,zip_derived_cl1556]) ).
thf(zip_derived_cl1854,plain,
( ~ ( r1 @ sk__59 )
<= ~ ( r1 @ sk__59 ) ),
inference(split,[status(esa)],[zip_derived_cl1611]) ).
thf('1',plain,
( ( r1 @ sk__59 )
| ~ ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1786,zip_derived_cl1854]) ).
thf(zip_derived_cl1549_004,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_38 @ X0 @ X1 )
| ( q1 @ ( f @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_142]) ).
thf(zip_derived_cl370,plain,
( ~ ( zip_tseitin_38 @ sk__45 @ sk__44 )
<= ~ ( zip_tseitin_38 @ sk__45 @ sk__44 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl650,plain,
( ( q1 @ ( f @ sk__44 ) )
<= ~ ( zip_tseitin_38 @ sk__45 @ sk__44 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl370]) ).
thf(zip_derived_cl1557,plain,
( ~ ( p1 @ ( f @ sk__44 ) )
<= ( ~ ( zip_tseitin_38 @ sk__45 @ sk__44 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl650]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_34 @ X0 @ X1 )
| ~ ( zip_tseitin_33 @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_150]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( q1 @ X0 )
| ~ ( zip_tseitin_32 @ X1 @ X0 @ X2 @ X3 )
| ( zip_tseitin_33 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_152]) ).
thf(zip_derived_cl603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_34 @ X1 @ X0 )
| ~ ( q1 @ X2 )
| ~ ( zip_tseitin_32 @ X3 @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_32 @ X0 @ X1 @ X2 @ X3 )
| ( p1 @ ( f @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_154]) ).
thf(zip_derived_cl1270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( q1 @ X2 )
| ( zip_tseitin_34 @ X1 @ X0 )
| ( p1 @ ( f @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl603,zip_derived_cl58]) ).
thf(zip_derived_cl1348,plain,
( ! [X3: $i] : ( p1 @ ( f @ X3 ) )
<= ! [X3: $i] : ( p1 @ ( f @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1270]) ).
thf('2',plain,
( ~ ! [X3: $i] : ( p1 @ ( f @ X3 ) )
| ( zip_tseitin_38 @ sk__45 @ sk__44 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl1348]) ).
thf(zip_derived_cl1556_005,plain,
( ! [X0: $i] :
~ ( p1 @ ( f @ X0 ) )
<= ( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl196]) ).
thf(zip_derived_cl1348_006,plain,
( ! [X3: $i] : ( p1 @ ( f @ X3 ) )
<= ! [X3: $i] : ( p1 @ ( f @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1270]) ).
thf('3',plain,
( ~ ! [X3: $i] : ( p1 @ ( f @ X3 ) )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1556,zip_derived_cl1348]) ).
thf(zip_derived_cl145,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_10 @ X0 )
| ~ ( zip_tseitin_78 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_58]) ).
thf('4',plain,
( ! [X1: $i] :
~ ( zip_tseitin_78 @ X1 )
| ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] :
( ( zip_tseitin_81 @ X0 )
| ( zip_tseitin_78 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf(zip_derived_cl375,plain,
( ~ ( zip_tseitin_81 @ sk__34 )
<= ~ ( zip_tseitin_81 @ sk__34 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl744,plain,
( ( zip_tseitin_78 @ sk__34 )
<= ~ ( zip_tseitin_81 @ sk__34 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl375]) ).
thf(zip_derived_cl322,plain,
( ! [X1: $i] :
~ ( zip_tseitin_78 @ X1 )
<= ! [X1: $i] :
~ ( zip_tseitin_78 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf('5',plain,
( ( zip_tseitin_81 @ sk__34 )
| ~ ! [X1: $i] :
~ ( zip_tseitin_78 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl744,zip_derived_cl322]) ).
thf(zip_derived_cl134,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 )
| ~ zip_tseitin_72 ),
inference(cnf,[status(esa)],[zf_stmt_70]) ).
thf('6',plain,
( ~ zip_tseitin_72
| ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( zip_tseitin_91 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 )
| ( zip_tseitin_87 @ X0 @ X3 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl363,plain,
( ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1064,plain,
( ! [X0: $i,X1: $i,X4: $i] : ( zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl363]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_86 @ X0 )
| ~ ( zip_tseitin_87 @ X1 @ X2 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf(zip_derived_cl1155,plain,
( ! [X0: $i] : ( zip_tseitin_86 @ X0 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1064,zip_derived_cl159]) ).
thf(zip_derived_cl156,plain,
! [X0: $i] :
( ~ ( e @ X0 )
| ( zip_tseitin_85 @ X0 )
| ~ ( zip_tseitin_86 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf(zip_derived_cl1158,plain,
( ! [X0: $i] :
( ~ ( e @ X0 )
| ( zip_tseitin_85 @ X0 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1155,zip_derived_cl156]) ).
thf(zip_derived_cl1064_007,plain,
( ! [X0: $i,X1: $i,X4: $i] : ( zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl363]) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_82 @ X0 @ X1 )
| ~ ( zip_tseitin_87 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf(zip_derived_cl1157,plain,
( ! [X2: $i] : ( zip_tseitin_82 @ X2 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1064,zip_derived_cl161]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( zip_tseitin_82 @ X0 @ X1 )
| ~ ( s @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_50]) ).
thf(zip_derived_cl1169,plain,
( ! [X0: $i] :
( ( p1 @ X0 )
| ~ ( s @ sk__33 @ X0 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1157,zip_derived_cl152]) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ( s @ X0 @ ( f @ X0 ) )
| ( g @ X0 )
| ~ ( zip_tseitin_85 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf(zip_derived_cl1174,plain,
( ( ( p1 @ ( f @ sk__33 ) )
| ( g @ sk__33 )
| ~ ( zip_tseitin_85 @ sk__33 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1169,zip_derived_cl155]) ).
thf(zip_derived_cl1064_008,plain,
( ! [X0: $i,X1: $i,X4: $i] : ( zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl363]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( e @ X0 )
| ~ ( zip_tseitin_87 @ X1 @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf(zip_derived_cl1154,plain,
( ( e @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1064,zip_derived_cl158]) ).
thf(zip_derived_cl1064_009,plain,
( ! [X0: $i,X1: $i,X4: $i] : ( zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl363]) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_84 @ X0 )
| ~ ( zip_tseitin_87 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf(zip_derived_cl1156,plain,
( ! [X1: $i] : ( zip_tseitin_84 @ X1 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1064,zip_derived_cl160]) ).
thf(zip_derived_cl154,plain,
! [X0: $i] :
( ~ ( e @ X0 )
| ( zip_tseitin_83 @ X0 )
| ~ ( zip_tseitin_84 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf(zip_derived_cl1159,plain,
( ! [X0: $i] :
( ~ ( e @ X0 )
| ( zip_tseitin_83 @ X0 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1156,zip_derived_cl154]) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( zip_tseitin_91 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 )
| ~ ( zip_tseitin_90 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl363_010,plain,
( ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1047,plain,
( ! [X2: $i,X3: $i] :
~ ( zip_tseitin_90 @ X3 @ X2 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl363]) ).
thf(zip_derived_cl165,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_90 @ X0 @ X1 )
| ~ ( zip_tseitin_88 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf(zip_derived_cl1050,plain,
( ! [X1: $i] :
~ ( zip_tseitin_88 @ X1 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1047,zip_derived_cl165]) ).
thf(zip_derived_cl162,plain,
! [X0: $i] :
( ( zip_tseitin_88 @ X0 )
| ~ ( c @ X0 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_38]) ).
thf(zip_derived_cl1055,plain,
( ! [X0: $i] :
( ~ ( c @ X0 )
| ~ ( p1 @ X0 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1050,zip_derived_cl162]) ).
thf(zip_derived_cl153,plain,
! [X0: $i] :
( ( c @ ( f @ X0 ) )
| ( g @ X0 )
| ~ ( zip_tseitin_83 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf(zip_derived_cl1067,plain,
( ! [X0: $i] :
( ~ ( p1 @ ( f @ X0 ) )
| ( g @ X0 )
| ~ ( zip_tseitin_83 @ X0 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1055,zip_derived_cl153]) ).
thf(zip_derived_cl1168,plain,
( ! [X0: $i] :
( ~ ( e @ X0 )
| ~ ( p1 @ ( f @ X0 ) )
| ( g @ X0 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1159,zip_derived_cl1067]) ).
thf(zip_derived_cl1047_011,plain,
( ! [X2: $i,X3: $i] :
~ ( zip_tseitin_90 @ X3 @ X2 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl363]) ).
thf(zip_derived_cl164,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_90 @ X0 @ X1 )
| ~ ( zip_tseitin_89 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf(zip_derived_cl1049,plain,
( ! [X0: $i] :
~ ( zip_tseitin_89 @ X0 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1047,zip_derived_cl164]) ).
thf(zip_derived_cl163,plain,
! [X0: $i] :
( ( zip_tseitin_89 @ X0 )
| ~ ( g @ X0 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf(zip_derived_cl1053,plain,
( ! [X0: $i] :
( ~ ( g @ X0 )
| ~ ( p1 @ X0 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1049,zip_derived_cl163]) ).
thf(zip_derived_cl1176,plain,
( ! [X0: $i] :
( ~ ( p1 @ ( f @ X0 ) )
| ~ ( e @ X0 )
| ~ ( p1 @ X0 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1168,zip_derived_cl1053]) ).
thf(zip_derived_cl1178,plain,
( ( ~ ( p1 @ ( f @ sk__33 ) )
| ~ ( p1 @ sk__33 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1154,zip_derived_cl1176]) ).
thf(zip_derived_cl1064_012,plain,
( ! [X0: $i,X1: $i,X4: $i] : ( zip_tseitin_87 @ X4 @ X1 @ X0 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl363]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( p1 @ X0 )
| ~ ( zip_tseitin_87 @ X1 @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf(zip_derived_cl1153,plain,
( ( p1 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1064,zip_derived_cl157]) ).
thf(zip_derived_cl1179,plain,
( ~ ( p1 @ ( f @ sk__33 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl1153]) ).
thf(zip_derived_cl1195,plain,
( ( ( g @ sk__33 )
| ~ ( zip_tseitin_85 @ sk__33 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference(demod,[status(thm)],[zip_derived_cl1174,zip_derived_cl1179]) ).
thf(zip_derived_cl1196,plain,
( ~ ( zip_tseitin_85 @ sk__33 )
<= ~ ( zip_tseitin_85 @ sk__33 ) ),
inference(split,[status(esa)],[zip_derived_cl1195]) ).
thf(zip_derived_cl1199,plain,
( ~ ( e @ sk__33 )
<= ( ~ ( zip_tseitin_85 @ sk__33 )
& ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1158,zip_derived_cl1196]) ).
thf(zip_derived_cl1154_013,plain,
( ( e @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1064,zip_derived_cl158]) ).
thf('7',plain,
( ( zip_tseitin_85 @ sk__33 )
| ~ ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference(demod,[status(thm)],[zip_derived_cl1199,zip_derived_cl1154]) ).
thf(zip_derived_cl1197,plain,
( ( g @ sk__33 )
<= ( g @ sk__33 ) ),
inference(split,[status(esa)],[zip_derived_cl1195]) ).
thf(zip_derived_cl1053_014,plain,
( ! [X0: $i] :
( ~ ( g @ X0 )
| ~ ( p1 @ X0 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1049,zip_derived_cl163]) ).
thf(zip_derived_cl1203,plain,
( ~ ( p1 @ sk__33 )
<= ( ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 )
& ( g @ sk__33 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1197,zip_derived_cl1053]) ).
thf(zip_derived_cl1153_015,plain,
( ( p1 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1064,zip_derived_cl157]) ).
thf('8',plain,
( ~ ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 )
| ~ ( g @ sk__33 ) ),
inference(demod,[status(thm)],[zip_derived_cl1203,zip_derived_cl1153]) ).
thf('9',plain,
( ( g @ sk__33 )
| ~ ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 )
| ~ ( zip_tseitin_85 @ sk__33 ) ),
inference(split,[status(esa)],[zip_derived_cl1195]) ).
thf(zip_derived_cl55,plain,
( zip_tseitin_30
| ( p1 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_158]) ).
thf(zip_derived_cl255,plain,
( ( p1 @ sk__8 )
<= ( p1 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( zip_tseitin_24
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_170]) ).
thf(zip_derived_cl243,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ! [X0: $i] :
~ ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf('10',plain,
( ~ ! [X0: $i] :
~ ( p1 @ X0 )
| ~ ( p1 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl243]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ( q1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ~ ( zip_tseitin_16 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_184]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_15 @ X0 @ X1 )
| ~ ( zip_tseitin_14 @ X0 @ X2 )
| ( zip_tseitin_16 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_186]) ).
thf(zip_derived_cl497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_17 @ X1 @ X0 )
| ~ ( zip_tseitin_15 @ X2 @ X1 )
| ~ ( zip_tseitin_14 @ X2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl29]) ).
thf(zip_derived_cl1234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( q1 @ X1 )
| ( zip_tseitin_17 @ X0 @ X2 )
| ~ ( zip_tseitin_14 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl497]) ).
thf(zip_derived_cl1615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 )
| ( zip_tseitin_17 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1234]) ).
thf(zip_derived_cl2090,plain,
( ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) )
<= ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1615]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_65 @ X0 @ X1 )
| ( zip_tseitin_15 @ X2 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_84]) ).
thf(zip_derived_cl312,plain,
( ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
<= ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf(zip_derived_cl122,plain,
! [X0: $i] :
( ~ ( q1 @ X0 )
| ( p1 @ X0 )
| ~ ( zip_tseitin_15 @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_86]) ).
thf(zip_derived_cl874,plain,
( ! [X0: $i] :
( ~ ( q1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl122]) ).
thf(zip_derived_cl2092,plain,
( ! [X0: $i] :
( ( p1 @ X0 )
| ( p1 @ X0 ) )
<= ( ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
& ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2090,zip_derived_cl874]) ).
thf(zip_derived_cl2101,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ( ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
& ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2092]) ).
thf(zip_derived_cl312_016,plain,
( ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
<= ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_65 @ X0 @ X1 )
| ~ ( zip_tseitin_16 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_84]) ).
thf(zip_derived_cl29_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_15 @ X0 @ X1 )
| ~ ( zip_tseitin_14 @ X0 @ X2 )
| ( zip_tseitin_16 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_186]) ).
thf(zip_derived_cl893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_65 @ X1 @ X0 )
| ~ ( zip_tseitin_15 @ X2 @ X1 )
| ~ ( zip_tseitin_14 @ X2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl29]) ).
thf(zip_derived_cl1368,plain,
( ! [X0: $i,X1: $i] :
( ( zip_tseitin_65 @ X0 @ X1 )
| ~ ( zip_tseitin_14 @ X0 @ X1 ) )
<= ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl893]) ).
thf(zip_derived_cl373,plain,
( ~ ( zip_tseitin_65 @ sk__38 @ sk__37 )
<= ~ ( zip_tseitin_65 @ sk__38 @ sk__37 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1369,plain,
( ~ ( zip_tseitin_14 @ sk__38 @ sk__37 )
<= ( ~ ( zip_tseitin_65 @ sk__38 @ sk__37 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl373]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl1417,plain,
( ~ ( p1 @ sk__37 )
<= ( ~ ( zip_tseitin_65 @ sk__38 @ sk__37 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1369,zip_derived_cl25]) ).
thf('11',plain,
( ~ ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
| ~ ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) )
| ( zip_tseitin_65 @ sk__38 @ sk__37 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2101,zip_derived_cl1417]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_29 @ X0 @ X1 @ X2 )
| ( zip_tseitin_27 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_160]) ).
thf(zip_derived_cl368,plain,
( ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
<= ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl560,plain,
( ( zip_tseitin_27 @ sk__50 @ sk__49 @ sk__48 )
<= ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl368]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r @ X0 @ X1 )
| ~ ( zip_tseitin_27 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf(zip_derived_cl579,plain,
( ( r @ sk__49 @ sk__50 )
<= ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl48]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_25 @ X0 @ X1 )
| ~ ( zip_tseitin_27 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf(zip_derived_cl250,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( r @ X0 @ X1 )
| ( q @ X0 @ X1 )
| ~ ( zip_tseitin_25 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_168]) ).
thf(zip_derived_cl537,plain,
( ! [X0: $i,X1: $i] :
( ~ ( r @ X0 @ X1 )
| ( q @ X0 @ X1 ) )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl44]) ).
thf(zip_derived_cl583,plain,
( ( q @ sk__49 @ sk__50 )
<= ( ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl579,zip_derived_cl537]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_28 @ X0 @ X1 )
| ~ ( p1 @ X1 )
| ~ ( q @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_162]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_29 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_28 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_160]) ).
thf(zip_derived_cl251,plain,
( ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 )
<= ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl552,plain,
( ! [X0: $i,X1: $i] :
( ~ ( q @ X0 @ X1 )
| ~ ( p1 @ X0 ) )
<= ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl251]) ).
thf(zip_derived_cl595,plain,
( ~ ( p1 @ sk__49 )
<= ( ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 )
& ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl552]) ).
thf(zip_derived_cl560_018,plain,
( ( zip_tseitin_27 @ sk__50 @ sk__49 @ sk__48 )
<= ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl368]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s1 @ X0 )
| ~ ( zip_tseitin_27 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf(zip_derived_cl578,plain,
( ( s1 @ sk__49 )
<= ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl47]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_26 @ X0 )
| ~ ( zip_tseitin_27 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf(zip_derived_cl248,plain,
( ! [X0: $i] : ( zip_tseitin_26 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_26 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( s1 @ X0 )
| ( p1 @ X0 )
| ~ ( zip_tseitin_26 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_166]) ).
thf(zip_derived_cl519,plain,
( ! [X0: $i] :
( ~ ( s1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_26 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl45]) ).
thf(zip_derived_cl582,plain,
( ( p1 @ sk__49 )
<= ( ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
& ! [X0: $i] : ( zip_tseitin_26 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl519]) ).
thf('12',plain,
( ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
| ~ ! [X0: $i] : ( zip_tseitin_26 @ X0 )
| ~ ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl582]) ).
thf(zip_derived_cl53_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_29 @ X0 @ X1 @ X2 )
| ( zip_tseitin_27 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_160]) ).
thf(zip_derived_cl367,plain,
( ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
<= ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl561,plain,
( ( zip_tseitin_27 @ sk__54 @ sk__53 @ sk__52 )
<= ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl367]) ).
thf(zip_derived_cl48_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r @ X0 @ X1 )
| ~ ( zip_tseitin_27 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf(zip_derived_cl588,plain,
( ( r @ sk__53 @ sk__54 )
<= ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl561,zip_derived_cl48]) ).
thf(zip_derived_cl537_021,plain,
( ! [X0: $i,X1: $i] :
( ~ ( r @ X0 @ X1 )
| ( q @ X0 @ X1 ) )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl44]) ).
thf(zip_derived_cl592,plain,
( ( q @ sk__53 @ sk__54 )
<= ( ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl537]) ).
thf(zip_derived_cl552_022,plain,
( ! [X0: $i,X1: $i] :
( ~ ( q @ X0 @ X1 )
| ~ ( p1 @ X0 ) )
<= ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl251]) ).
thf(zip_derived_cl596,plain,
( ~ ( p1 @ sk__53 )
<= ( ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 )
& ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl592,zip_derived_cl552]) ).
thf(zip_derived_cl561_023,plain,
( ( zip_tseitin_27 @ sk__54 @ sk__53 @ sk__52 )
<= ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl367]) ).
thf(zip_derived_cl47_024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s1 @ X0 )
| ~ ( zip_tseitin_27 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf(zip_derived_cl587,plain,
( ( s1 @ sk__53 )
<= ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl561,zip_derived_cl47]) ).
thf(zip_derived_cl519_025,plain,
( ! [X0: $i] :
( ~ ( s1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_26 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl45]) ).
thf(zip_derived_cl591,plain,
( ( p1 @ sk__53 )
<= ( ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
& ! [X0: $i] : ( zip_tseitin_26 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl519]) ).
thf('13',plain,
( ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
| ~ ! [X0: $i] : ( zip_tseitin_26 @ X0 )
| ~ ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl596,zip_derived_cl591]) ).
thf(zip_derived_cl252,plain,
( ! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_29 @ X0 @ X1 @ X2 )
<= ! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_29 @ X0 @ X1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl368_026,plain,
( ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
<= ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('14',plain,
( ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
| ~ ! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_29 @ X0 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl368]) ).
thf(zip_derived_cl26_027,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl28_028,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ( q1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf(zip_derived_cl893_029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_65 @ X1 @ X0 )
| ~ ( zip_tseitin_15 @ X2 @ X1 )
| ~ ( zip_tseitin_14 @ X2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl29]) ).
thf(zip_derived_cl1367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( q1 @ X1 )
| ( zip_tseitin_65 @ X0 @ X2 )
| ~ ( zip_tseitin_14 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl893]) ).
thf(zip_derived_cl1866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 )
| ( zip_tseitin_65 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1367]) ).
thf('15',plain,
( ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) )
| ! [X0: $i,X1: $i] : ( zip_tseitin_65 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1866]) ).
thf(zip_derived_cl2101_030,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ( ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
& ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2092]) ).
thf(zip_derived_cl1368_031,plain,
( ! [X0: $i,X1: $i] :
( ( zip_tseitin_65 @ X0 @ X1 )
| ~ ( zip_tseitin_14 @ X0 @ X1 ) )
<= ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl893]) ).
thf(zip_derived_cl372,plain,
( ~ ( zip_tseitin_65 @ sk__40 @ sk__39 )
<= ~ ( zip_tseitin_65 @ sk__40 @ sk__39 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1370,plain,
( ~ ( zip_tseitin_14 @ sk__40 @ sk__39 )
<= ( ~ ( zip_tseitin_65 @ sk__40 @ sk__39 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl372]) ).
thf(zip_derived_cl25_032,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl1431,plain,
( ~ ( p1 @ sk__39 )
<= ( ~ ( zip_tseitin_65 @ sk__40 @ sk__39 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1370,zip_derived_cl25]) ).
thf('16',plain,
( ( zip_tseitin_65 @ sk__40 @ sk__39 )
| ~ ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) )
| ~ ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2101,zip_derived_cl1431]) ).
thf(zip_derived_cl180,plain,
! [X0: $i] :
( zip_tseitin_97
| ~ ( zip_tseitin_63 @ ( sk__24 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('17',plain,
( zip_tseitin_97
| ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__24 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl180]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_63 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_90]) ).
thf(zip_derived_cl334,plain,
( ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__24 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__24 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl180]) ).
thf(zip_derived_cl851,plain,
( ! [X0: $i] :
~ ( p1 @ ( sk__24 @ X0 ) )
<= ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__24 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl334]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( zip_tseitin_11
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_196]) ).
thf(zip_derived_cl214,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('18',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__24 @ X0 ) @ X0 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl851,zip_derived_cl214]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] :
( ( zip_tseitin_58 @ X0 )
| ~ ( q1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_100]) ).
thf(zip_derived_cl371,plain,
( ~ ( zip_tseitin_58 @ sk__41 )
<= ~ ( zip_tseitin_58 @ sk__41 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl701,plain,
( ~ ( q1 @ sk__41 )
<= ~ ( zip_tseitin_58 @ sk__41 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl371]) ).
thf(zip_derived_cl108,plain,
! [X0: $i] :
( ( zip_tseitin_55 @ X0 )
| ~ zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_102]) ).
thf(zip_derived_cl296,plain,
( ! [X0: $i] : ( zip_tseitin_55 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_55 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl108]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] :
( ( q1 @ X0 )
| ~ ( zip_tseitin_55 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_106]) ).
thf(zip_derived_cl611,plain,
( ! [X0: $i] : ( q1 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_55 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl104]) ).
thf('19',plain,
( ~ ! [X0: $i] : ( zip_tseitin_55 @ X0 )
| ( zip_tseitin_58 @ sk__41 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl701,zip_derived_cl611]) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( zip_tseitin_64
| ~ ( zip_tseitin_63 @ ( sk__17 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_88]) ).
thf('20',plain,
( zip_tseitin_64
| ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__17 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl120]) ).
thf(zip_derived_cl119_033,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_63 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_90]) ).
thf(zip_derived_cl308,plain,
( ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__17 @ X0 ) @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__17 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl120]) ).
thf(zip_derived_cl850,plain,
( ! [X0: $i] :
~ ( p1 @ ( sk__17 @ X0 ) )
<= ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl308]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( zip_tseitin_64
| ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_88]) ).
thf(zip_derived_cl310,plain,
( ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 )
<= ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i] :
( ( p1 @ X0 )
| ~ ( zip_tseitin_62 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_92]) ).
thf(zip_derived_cl717,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl117]) ).
thf('21',plain,
( ~ ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 )
| ~ ! [X0: $i] :
~ ( zip_tseitin_63 @ ( sk__17 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl850,zip_derived_cl717]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( p1 @ X1 )
| ( zip_tseitin_48 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_122]) ).
thf(zip_derived_cl93,plain,
( zip_tseitin_49
| ~ ( zip_tseitin_48 @ sk__14 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_120]) ).
thf(zip_derived_cl279,plain,
( ~ ( zip_tseitin_48 @ sk__14 @ sk__13 )
<= ~ ( zip_tseitin_48 @ sk__14 @ sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl782,plain,
( ( ~ ( p1 @ sk__13 )
| ~ ( p1 @ sk__14 ) )
<= ~ ( zip_tseitin_48 @ sk__14 @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl279]) ).
thf(zip_derived_cl785,plain,
( ~ ( p1 @ sk__14 )
<= ~ ( p1 @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl782]) ).
thf(zip_derived_cl214_034,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('22',plain,
( ( p1 @ sk__14 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl785,zip_derived_cl214]) ).
thf(zip_derived_cl784,plain,
( ~ ( p1 @ sk__13 )
<= ~ ( p1 @ sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl782]) ).
thf(zip_derived_cl214_035,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('23',plain,
( ( p1 @ sk__13 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl784,zip_derived_cl214]) ).
thf('24',plain,
( zip_tseitin_49
| ~ ( zip_tseitin_48 @ sk__14 @ sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf('25',plain,
( ( zip_tseitin_48 @ sk__14 @ sk__13 )
| ~ ( p1 @ sk__14 )
| ~ ( p1 @ sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl782]) ).
thf('26',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 )
| ! [X1: $i,X2: $i,X3: $i] :
~ ( zip_tseitin_27 @ X1 @ X2 @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf('27',plain,
( ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 )
| ! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_29 @ X0 @ X1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl252_036,plain,
( ! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_29 @ X0 @ X1 @ X2 )
<= ! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_29 @ X0 @ X1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl367_037,plain,
( ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
<= ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('28',plain,
( ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
| ~ ! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_29 @ X0 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl367]) ).
thf(zip_derived_cl596_038,plain,
( ~ ( p1 @ sk__53 )
<= ( ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 )
& ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl592,zip_derived_cl552]) ).
thf(zip_derived_cl214_039,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('29',plain,
( ~ ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 )
| ~ ! [X0: $i] : ( p1 @ X0 )
| ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl596,zip_derived_cl214]) ).
thf(zip_derived_cl25_040,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf(zip_derived_cl893_041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_65 @ X1 @ X0 )
| ~ ( zip_tseitin_15 @ X2 @ X1 )
| ~ ( zip_tseitin_14 @ X2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl29]) ).
thf(zip_derived_cl1366,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p1 @ X0 )
| ( zip_tseitin_65 @ X0 @ X2 )
| ~ ( zip_tseitin_14 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl893]) ).
thf(zip_derived_cl1859,plain,
! [X0: $i,X2: $i] :
( ~ ( p1 @ X0 )
| ~ ( p1 @ X2 )
| ( zip_tseitin_65 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1366]) ).
thf(zip_derived_cl373_042,plain,
( ~ ( zip_tseitin_65 @ sk__38 @ sk__37 )
<= ~ ( zip_tseitin_65 @ sk__38 @ sk__37 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl2614,plain,
( ( ~ ( p1 @ sk__38 )
| ~ ( p1 @ sk__37 ) )
<= ~ ( zip_tseitin_65 @ sk__38 @ sk__37 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl373]) ).
thf('30',plain,
( ( zip_tseitin_65 @ sk__38 @ sk__37 )
| ~ ( p1 @ sk__38 )
| ~ ( p1 @ sk__37 ) ),
inference(split,[status(esa)],[zip_derived_cl2614]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( zip_tseitin_30
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_158]) ).
thf('31',plain,
( zip_tseitin_30
| ! [X0: $i] :
~ ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2616,plain,
( ~ ( p1 @ sk__38 )
<= ~ ( p1 @ sk__38 ) ),
inference(split,[status(esa)],[zip_derived_cl2614]) ).
thf(zip_derived_cl214_043,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('32',plain,
( ( p1 @ sk__38 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2616,zip_derived_cl214]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( zip_tseitin_12
| ( zip_tseitin_10 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_194]) ).
thf(zip_derived_cl218,plain,
( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ~ ( p1 @ X0 )
| ( q1 @ X0 )
| ~ ( zip_tseitin_10 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_198]) ).
thf(zip_derived_cl487,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ( q1 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl19]) ).
thf(zip_derived_cl1581,plain,
( ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1224]) ).
thf(zip_derived_cl0_044,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1583,plain,
( ! [X0: $i] :
( ~ ( q1 @ X0 )
| ~ ( p1 @ X0 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1581,zip_derived_cl0]) ).
thf(zip_derived_cl1593,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( p1 @ X0 ) )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl1583]) ).
thf(zip_derived_cl1599,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1593]) ).
thf(zip_derived_cl214_045,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('33',plain,
( ~ ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1599,zip_derived_cl214]) ).
thf(zip_derived_cl2617,plain,
( ~ ( p1 @ sk__37 )
<= ~ ( p1 @ sk__37 ) ),
inference(split,[status(esa)],[zip_derived_cl2614]) ).
thf(zip_derived_cl214_046,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('34',plain,
( ( p1 @ sk__37 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2617,zip_derived_cl214]) ).
thf(zip_derived_cl1179_047,plain,
( ~ ( p1 @ ( f @ sk__33 ) )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl1153]) ).
thf(zip_derived_cl214_048,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('35',plain,
( ~ ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1179,zip_derived_cl214]) ).
thf(zip_derived_cl595_049,plain,
( ~ ( p1 @ sk__49 )
<= ( ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 )
& ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl552]) ).
thf(zip_derived_cl214_050,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('36',plain,
( ~ ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_25 @ X0 @ X1 )
| ~ ! [X0: $i] : ( p1 @ X0 )
| ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl214]) ).
thf(zip_derived_cl404_051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ( zip_tseitin_2 @ X2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl603_052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_34 @ X1 @ X0 )
| ~ ( q1 @ X2 )
| ~ ( zip_tseitin_32 @ X3 @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_32 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_31 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_154]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( p1 @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X2 @ X3 )
| ( zip_tseitin_31 @ X1 @ X0 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_156]) ).
thf(zip_derived_cl575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_32 @ X3 @ X2 @ X1 @ X0 )
| ~ ( p1 @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl56]) ).
thf(zip_derived_cl1271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( q1 @ X2 )
| ( zip_tseitin_34 @ X1 @ X0 )
| ~ ( p1 @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl603,zip_derived_cl575]) ).
thf(zip_derived_cl1616,plain,
( ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) )
<= ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1271]) ).
thf(zip_derived_cl1619,plain,
( ! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ~ ( r1 @ X0 )
| ( zip_tseitin_34 @ X0 @ X1 ) )
<= ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl1616]) ).
thf(zip_derived_cl369,plain,
( ~ ( zip_tseitin_34 @ sk__47 @ sk__46 )
<= ~ ( zip_tseitin_34 @ sk__47 @ sk__46 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1620,plain,
( ( ~ ( r1 @ sk__47 )
| ~ ( r1 @ sk__46 ) )
<= ( ~ ( zip_tseitin_34 @ sk__47 @ sk__46 )
& ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1619,zip_derived_cl369]) ).
thf(zip_derived_cl1868,plain,
( ~ ( r1 @ sk__46 )
<= ~ ( r1 @ sk__46 ) ),
inference(split,[status(esa)],[zip_derived_cl1620]) ).
thf(zip_derived_cl1548,plain,
( ! [X1: $i] : ( r1 @ X1 )
<= ! [X1: $i] : ( r1 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf('37',plain,
( ( r1 @ sk__46 )
| ~ ! [X1: $i] : ( r1 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1868,zip_derived_cl1548]) ).
thf(zip_derived_cl1867,plain,
( ~ ( r1 @ sk__47 )
<= ~ ( r1 @ sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl1620]) ).
thf(zip_derived_cl1548_053,plain,
( ! [X1: $i] : ( r1 @ X1 )
<= ! [X1: $i] : ( r1 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf('38',plain,
( ( r1 @ sk__47 )
| ~ ! [X1: $i] : ( r1 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1867,zip_derived_cl1548]) ).
thf(zip_derived_cl4_054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ( r1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1616_055,plain,
( ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) )
<= ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1271]) ).
thf(zip_derived_cl1618,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ X2 )
| ( zip_tseitin_34 @ X0 @ X1 ) )
<= ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1616]) ).
thf('39',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_34 @ X0 @ X1 )
| ! [X1: $i] : ( r1 @ X1 )
| ~ ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1618]) ).
thf('40',plain,
( ( zip_tseitin_34 @ sk__47 @ sk__46 )
| ~ ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) )
| ~ ( r1 @ sk__46 )
| ~ ( r1 @ sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl1620]) ).
thf(zip_derived_cl1599_056,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1593]) ).
thf(zip_derived_cl1348_057,plain,
( ! [X3: $i] : ( p1 @ ( f @ X3 ) )
<= ! [X3: $i] : ( p1 @ ( f @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1270]) ).
thf('41',plain,
( ~ ! [X3: $i] : ( p1 @ ( f @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1599,zip_derived_cl1348]) ).
thf('42',plain,
( ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_34 @ X1 @ X0 ) )
| ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1271]) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_66 @ X0 @ X1 )
| ~ ( r1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_82]) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_70 @ X0 )
| ( zip_tseitin_67 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_74]) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X1: $i] :
( ( p @ ( f @ X0 ) @ X0 )
| ~ ( zip_tseitin_67 @ X0 @ X1 )
| ~ ( zip_tseitin_66 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_80]) ).
thf(zip_derived_cl899,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_70 @ X0 )
| ( p @ ( f @ X1 ) @ X1 )
| ~ ( zip_tseitin_66 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl127]) ).
thf(zip_derived_cl1429,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ( zip_tseitin_70 @ X0 )
| ( p @ ( f @ X1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl899]) ).
thf(zip_derived_cl1880,plain,
( ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) )
<= ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1429]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_70 @ X0 )
| ~ ( zip_tseitin_69 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_74]) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X0 @ X1 )
| ~ ( zip_tseitin_68 @ X1 @ X0 @ X2 )
| ( zip_tseitin_69 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_76]) ).
thf(zip_derived_cl928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_70 @ X0 )
| ~ ( p @ X1 @ X2 )
| ~ ( zip_tseitin_68 @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl130]) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_68 @ X0 @ X1 @ X2 )
| ~ ( q @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_78]) ).
thf(zip_derived_cl1443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ( zip_tseitin_70 @ X0 )
| ~ ( q @ X1 @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl928,zip_derived_cl128]) ).
thf(zip_derived_cl1896,plain,
( ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) )
<= ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1443]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_68 @ X0 @ X1 @ X2 )
| ( q @ ( f @ X2 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_78]) ).
thf(zip_derived_cl1898,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ ( f @ X0 ) @ X0 )
| ( zip_tseitin_68 @ X2 @ X1 @ X0 ) )
<= ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1896,zip_derived_cl129]) ).
thf(zip_derived_cl1905,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 )
| ( zip_tseitin_68 @ X2 @ X1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) )
& ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1880,zip_derived_cl1898]) ).
thf(zip_derived_cl928_058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_70 @ X0 )
| ~ ( p @ X1 @ X2 )
| ~ ( zip_tseitin_68 @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl130]) ).
thf(zip_derived_cl2026,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 )
| ~ ( p @ X1 @ X2 ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) )
& ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1905,zip_derived_cl928]) ).
thf('43',plain,
( ! [X0: $i] :
( ~ ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) )
| ~ ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) )
| ~ ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) )
| ! [X1: $i,X2: $i] :
~ ( p @ X1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl2026]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_66 @ X0 @ X1 )
| ( r1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_82]) ).
thf(zip_derived_cl899_059,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_70 @ X0 )
| ( p @ ( f @ X1 ) @ X1 )
| ~ ( zip_tseitin_66 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl127]) ).
thf(zip_derived_cl1430,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 )
| ( p @ ( f @ X1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl899]) ).
thf(zip_derived_cl1890,plain,
( ! [X1: $i] : ( p @ ( f @ X1 ) @ X1 )
<= ! [X1: $i] : ( p @ ( f @ X1 ) @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1430]) ).
thf(zip_derived_cl1898_060,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ ( f @ X0 ) @ X0 )
| ( zip_tseitin_68 @ X2 @ X1 @ X0 ) )
<= ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1896,zip_derived_cl129]) ).
thf(zip_derived_cl1906,plain,
( ! [X0: $i,X1: $i,X2: $i] : ( zip_tseitin_68 @ X2 @ X1 @ X0 )
<= ( ! [X1: $i] : ( p @ ( f @ X1 ) @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1890,zip_derived_cl1898]) ).
thf(zip_derived_cl928_061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_70 @ X0 )
| ~ ( p @ X1 @ X2 )
| ~ ( zip_tseitin_68 @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl130]) ).
thf(zip_derived_cl2023,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_70 @ X0 )
| ~ ( p @ X1 @ X2 ) )
<= ( ! [X1: $i] : ( p @ ( f @ X1 ) @ X1 )
& ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1906,zip_derived_cl928]) ).
thf('44',plain,
( ! [X0: $i] : ( zip_tseitin_70 @ X0 )
| ~ ! [X1: $i] : ( p @ ( f @ X1 ) @ X1 )
| ! [X1: $i,X2: $i] :
~ ( p @ X1 @ X2 )
| ~ ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2023]) ).
thf(zip_derived_cl1891,plain,
( ! [X0: $i] :
( ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) )
<= ! [X0: $i] :
( ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1430]) ).
thf(zip_derived_cl374,plain,
( ~ ( zip_tseitin_70 @ sk__36 )
<= ~ ( zip_tseitin_70 @ sk__36 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1895,plain,
( ( r1 @ sk__36 )
<= ( ~ ( zip_tseitin_70 @ sk__36 )
& ! [X0: $i] :
( ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1891,zip_derived_cl374]) ).
thf(zip_derived_cl1880_062,plain,
( ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) )
<= ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1429]) ).
thf(zip_derived_cl928_063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_70 @ X0 )
| ~ ( p @ X1 @ X2 )
| ~ ( zip_tseitin_68 @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl130]) ).
thf(zip_derived_cl129_064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_68 @ X0 @ X1 @ X2 )
| ( q @ ( f @ X2 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_78]) ).
thf(zip_derived_cl552_065,plain,
( ! [X0: $i,X1: $i] :
( ~ ( q @ X0 @ X1 )
| ~ ( p1 @ X0 ) )
<= ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl251]) ).
thf(zip_derived_cl910,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_68 @ X2 @ X1 @ X0 )
| ~ ( p1 @ ( f @ X0 ) ) )
<= ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl552]) ).
thf(zip_derived_cl1445,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ( zip_tseitin_70 @ X0 )
| ~ ( p1 @ ( f @ X0 ) ) )
<= ! [X3: $i,X4: $i] :
~ ( zip_tseitin_28 @ X3 @ X4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl928,zip_derived_cl910]) ).
thf(zip_derived_cl1449,plain,
( ! [X1: $i,X2: $i] :
~ ( p @ X1 @ X2 )
<= ! [X1: $i,X2: $i] :
~ ( p @ X1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl1445]) ).
thf(zip_derived_cl1883,plain,
( ! [X0: $i] :
~ ( r1 @ X0 )
<= ( ! [X1: $i,X2: $i] :
~ ( p @ X1 @ X2 )
& ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1880,zip_derived_cl1449]) ).
thf('45',plain,
( ( zip_tseitin_70 @ sk__36 )
| ~ ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) )
| ~ ! [X1: $i,X2: $i] :
~ ( p @ X1 @ X2 )
| ~ ! [X0: $i] :
( ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1895,zip_derived_cl1883]) ).
thf(zip_derived_cl1890_066,plain,
( ! [X1: $i] : ( p @ ( f @ X1 ) @ X1 )
<= ! [X1: $i] : ( p @ ( f @ X1 ) @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1430]) ).
thf(zip_derived_cl1449_067,plain,
( ! [X1: $i,X2: $i] :
~ ( p @ X1 @ X2 )
<= ! [X1: $i,X2: $i] :
~ ( p @ X1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl1445]) ).
thf('46',plain,
( ~ ! [X1: $i,X2: $i] :
~ ( p @ X1 @ X2 )
| ~ ! [X1: $i] : ( p @ ( f @ X1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1890,zip_derived_cl1449]) ).
thf('47',plain,
( ! [X0: $i] :
( ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) )
| ! [X1: $i] : ( p @ ( f @ X1 ) @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1430]) ).
thf('48',plain,
( ! [X1: $i,X2: $i] :
( ~ ( p @ X1 @ X2 )
| ~ ( q @ X1 @ X2 ) )
| ! [X0: $i] : ( zip_tseitin_70 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1443]) ).
thf('49',plain,
( ! [X0: $i] : ( zip_tseitin_70 @ X0 )
| ! [X1: $i] :
( ~ ( r1 @ X1 )
| ( p @ ( f @ X1 ) @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1429]) ).
thf(zip_derived_cl1881,plain,
( ! [X0: $i] : ( zip_tseitin_70 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_70 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1429]) ).
thf(zip_derived_cl374_068,plain,
( ~ ( zip_tseitin_70 @ sk__36 )
<= ~ ( zip_tseitin_70 @ sk__36 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('50',plain,
( ( zip_tseitin_70 @ sk__36 )
| ~ ! [X0: $i] : ( zip_tseitin_70 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1881,zip_derived_cl374]) ).
thf(zip_derived_cl2028,plain,
( ! [X0: $i] :
( ~ ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2026]) ).
thf(zip_derived_cl374_069,plain,
( ~ ( zip_tseitin_70 @ sk__36 )
<= ~ ( zip_tseitin_70 @ sk__36 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl2029,plain,
( ~ ( r1 @ sk__36 )
<= ( ~ ( zip_tseitin_70 @ sk__36 )
& ! [X0: $i] :
( ~ ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2028,zip_derived_cl374]) ).
thf(zip_derived_cl1895_070,plain,
( ( r1 @ sk__36 )
<= ( ~ ( zip_tseitin_70 @ sk__36 )
& ! [X0: $i] :
( ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1891,zip_derived_cl374]) ).
thf('51',plain,
( ( zip_tseitin_70 @ sk__36 )
| ~ ! [X0: $i] :
( ~ ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) )
| ~ ! [X0: $i] :
( ( r1 @ X0 )
| ( zip_tseitin_70 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2029,zip_derived_cl1895]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( zip_tseitin_19
| ~ ( b @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_180]) ).
thf('52',plain,
( ! [X0: $i] :
~ ( b @ X0 )
| zip_tseitin_19 ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( zip_tseitin_19
| ( a1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_180]) ).
thf('53',plain,
( zip_tseitin_19
| ! [X0: $i] : ( a1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl36,plain,
( zip_tseitin_20
| ( zip_tseitin_18 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_178]) ).
thf(zip_derived_cl228,plain,
( ( zip_tseitin_18 @ sk__1 )
<= ( zip_tseitin_18 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ~ ( a1 @ X0 )
| ( b @ X0 )
| ~ ( zip_tseitin_18 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_182]) ).
thf(zip_derived_cl512,plain,
( ( ~ ( a1 @ sk__1 )
| ( b @ sk__1 ) )
<= ( zip_tseitin_18 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl228,zip_derived_cl32]) ).
thf('54',plain,
( ~ ( zip_tseitin_18 @ sk__1 )
| ~ ( a1 @ sk__1 )
| ( b @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl512]) ).
thf('55',plain,
( zip_tseitin_20
| ( zip_tseitin_18 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl566,plain,
( ~ ( a1 @ sk__1 )
<= ~ ( a1 @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl512]) ).
thf(zip_derived_cl224,plain,
( ! [X0: $i] : ( a1 @ X0 )
<= ! [X0: $i] : ( a1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('56',plain,
( ( a1 @ sk__1 )
| ~ ! [X0: $i] : ( a1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl566,zip_derived_cl224]) ).
thf(zip_derived_cl35,plain,
( zip_tseitin_20
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_178]) ).
thf('57',plain,
( zip_tseitin_20
| ~ zip_tseitin_19 ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl565,plain,
( ( b @ sk__1 )
<= ( b @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl512]) ).
thf(zip_derived_cl222,plain,
( ! [X0: $i] :
~ ( b @ X0 )
<= ! [X0: $i] :
~ ( b @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf('58',plain,
( ~ ( b @ sk__1 )
| ~ ! [X0: $i] :
~ ( b @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl222]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ( zip_tseitin_58 @ X0 )
| zip_tseitin_57 ),
inference(cnf,[status(esa)],[zf_stmt_100]) ).
thf(zip_derived_cl298,plain,
( ! [X0: $i] : ( zip_tseitin_58 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_58 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl371_071,plain,
( ~ ( zip_tseitin_58 @ sk__41 )
<= ~ ( zip_tseitin_58 @ sk__41 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('59',plain,
( ( zip_tseitin_58 @ sk__41 )
| ~ ! [X0: $i] : ( zip_tseitin_58 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl371]) ).
thf(zip_derived_cl22,plain,
( zip_tseitin_12
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_194]) ).
thf('60',plain,
( zip_tseitin_12
| ~ zip_tseitin_11 ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl181,plain,
( zip_tseitin_97
| zip_tseitin_96 ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf('61',plain,
( zip_tseitin_97
| zip_tseitin_96 ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf(zip_derived_cl183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_98 @ X0 @ X1 )
| ( p1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl339,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_98 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_98 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl376,plain,
( ~ ( zip_tseitin_98 @ sk__32 @ sk__31 )
<= ~ ( zip_tseitin_98 @ sk__32 @ sk__31 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('62',plain,
( ( zip_tseitin_98 @ sk__32 @ sk__31 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_98 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl376]) ).
thf('63',plain,
( ! [X0: $i] : ( zip_tseitin_58 @ X0 )
| zip_tseitin_57 ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl1349,plain,
( ! [X2: $i] :
~ ( q1 @ X2 )
<= ! [X2: $i] :
~ ( q1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl1270]) ).
thf(zip_derived_cl650_072,plain,
( ( q1 @ ( f @ sk__44 ) )
<= ~ ( zip_tseitin_38 @ sk__45 @ sk__44 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl370]) ).
thf('64',plain,
( ~ ! [X2: $i] :
~ ( q1 @ X2 )
| ( zip_tseitin_38 @ sk__45 @ sk__44 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1349,zip_derived_cl650]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( zip_tseitin_23
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_172]) ).
thf('65',plain,
( zip_tseitin_23
| ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( zip_tseitin_24
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_170]) ).
thf('66',plain,
( zip_tseitin_24
| ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( zip_tseitin_49
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_120]) ).
thf('67',plain,
( zip_tseitin_49
| ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl178,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ zip_tseitin_96 ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf('68',plain,
( ~ zip_tseitin_96
| ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf('69',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_98 @ X0 @ X1 )
| ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf('70',plain,
( zip_tseitin_30
| ( p1 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf('71',plain,
( zip_tseitin_64
| ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf('72',plain,
( ~ zip_tseitin_57
| ! [X0: $i] : ( zip_tseitin_55 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl108]) ).
thf(zip_derived_cl1574_073,plain,
( ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) )
<= ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl1545]) ).
thf(zip_derived_cl487_074,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ( q1 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl19]) ).
thf(zip_derived_cl1549_075,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf(zip_derived_cl1560,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( p1 @ X0 ) )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl1549]) ).
thf(zip_derived_cl1566,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl1664,plain,
( ! [X0: $i] : ( r1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
& ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1574,zip_derived_cl1566]) ).
thf(zip_derived_cl1854_076,plain,
( ~ ( r1 @ sk__59 )
<= ~ ( r1 @ sk__59 ) ),
inference(split,[status(esa)],[zip_derived_cl1611]) ).
thf('73',plain,
( ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ( r1 @ sk__59 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl1854]) ).
thf(zip_derived_cl1664_077,plain,
( ! [X0: $i] : ( r1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
& ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1574,zip_derived_cl1566]) ).
thf(zip_derived_cl1853_078,plain,
( ~ ( r1 @ sk__60 )
<= ~ ( r1 @ sk__60 ) ),
inference(split,[status(esa)],[zip_derived_cl1611]) ).
thf('74',plain,
( ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ( r1 @ sk__60 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl1853]) ).
thf('75',plain,
( ! [X1: $i] :
( ( r1 @ X1 )
| ( p1 @ ( f @ X1 ) ) )
| ~ ! [X2: $i,X3: $i] :
( ( r1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
| ! [X2: $i] :
~ ( q1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl1545]) ).
thf(zip_derived_cl1566_079,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl560_080,plain,
( ( zip_tseitin_27 @ sk__50 @ sk__49 @ sk__48 )
<= ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl368]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s1 @ X0 )
| ~ ( zip_tseitin_27 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf(zip_derived_cl577,plain,
( ( s1 @ sk__48 )
<= ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl46]) ).
thf(zip_derived_cl519_081,plain,
( ! [X0: $i] :
( ~ ( s1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_26 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl45]) ).
thf(zip_derived_cl581,plain,
( ( p1 @ sk__48 )
<= ( ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
& ! [X0: $i] : ( zip_tseitin_26 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl519]) ).
thf('76',plain,
( ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
| ~ ! [X0: $i] : ( zip_tseitin_26 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl581]) ).
thf(zip_derived_cl560_082,plain,
( ( zip_tseitin_27 @ sk__50 @ sk__49 @ sk__48 )
<= ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl368]) ).
thf(zip_derived_cl247,plain,
( ! [X1: $i,X2: $i,X3: $i] :
~ ( zip_tseitin_27 @ X1 @ X2 @ X3 )
<= ! [X1: $i,X2: $i,X3: $i] :
~ ( zip_tseitin_27 @ X1 @ X2 @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('77',plain,
( ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
| ~ ! [X1: $i,X2: $i,X3: $i] :
~ ( zip_tseitin_27 @ X1 @ X2 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl247]) ).
thf(zip_derived_cl1566_083,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl1369_084,plain,
( ~ ( zip_tseitin_14 @ sk__38 @ sk__37 )
<= ( ~ ( zip_tseitin_65 @ sk__38 @ sk__37 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl373]) ).
thf(zip_derived_cl26_085,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl1418,plain,
( ( p1 @ sk__38 )
<= ( ~ ( zip_tseitin_65 @ sk__38 @ sk__37 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1369,zip_derived_cl26]) ).
thf('78',plain,
( ~ ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
| ( zip_tseitin_65 @ sk__38 @ sk__37 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl1418]) ).
thf(zip_derived_cl313,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_65 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_65 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf(zip_derived_cl373_086,plain,
( ~ ( zip_tseitin_65 @ sk__38 @ sk__37 )
<= ~ ( zip_tseitin_65 @ sk__38 @ sk__37 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('79',plain,
( ( zip_tseitin_65 @ sk__38 @ sk__37 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_65 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl373]) ).
thf(zip_derived_cl1566_087,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( zip_tseitin_73
| ~ ( zip_tseitin_5 @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_68]) ).
thf(zip_derived_cl318,plain,
( ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl136]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_208]) ).
thf(zip_derived_cl473,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl318,zip_derived_cl10]) ).
thf('80',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl473]) ).
thf(zip_derived_cl1566_088,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl1153_089,plain,
( ( p1 @ sk__33 )
<= ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1064,zip_derived_cl157]) ).
thf('81',plain,
( ~ ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl1153]) ).
thf(zip_derived_cl1566_090,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl1348_091,plain,
( ! [X3: $i] : ( p1 @ ( f @ X3 ) )
<= ! [X3: $i] : ( p1 @ ( f @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1270]) ).
thf('82',plain,
( ~ ! [X3: $i] : ( p1 @ ( f @ X3 ) )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl1348]) ).
thf(zip_derived_cl1566_092,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl214_093,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('83',plain,
( ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ~ ! [X0: $i] : ( p1 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl214]) ).
thf(zip_derived_cl1566_094,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl561_095,plain,
( ( zip_tseitin_27 @ sk__54 @ sk__53 @ sk__52 )
<= ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl367]) ).
thf(zip_derived_cl46_096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s1 @ X0 )
| ~ ( zip_tseitin_27 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_164]) ).
thf(zip_derived_cl586,plain,
( ( s1 @ sk__52 )
<= ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl561,zip_derived_cl46]) ).
thf(zip_derived_cl519_097,plain,
( ! [X0: $i] :
( ~ ( s1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_26 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl45]) ).
thf(zip_derived_cl590,plain,
( ( p1 @ sk__52 )
<= ( ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
& ! [X0: $i] : ( zip_tseitin_26 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl519]) ).
thf('84',plain,
( ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
| ~ ! [X0: $i] : ( zip_tseitin_26 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl590]) ).
thf(zip_derived_cl561_098,plain,
( ( zip_tseitin_27 @ sk__54 @ sk__53 @ sk__52 )
<= ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl367]) ).
thf(zip_derived_cl247_099,plain,
( ! [X1: $i,X2: $i,X3: $i] :
~ ( zip_tseitin_27 @ X1 @ X2 @ X3 )
<= ! [X1: $i,X2: $i,X3: $i] :
~ ( zip_tseitin_27 @ X1 @ X2 @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('85',plain,
( ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
| ~ ! [X1: $i,X2: $i,X3: $i] :
~ ( zip_tseitin_27 @ X1 @ X2 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl561,zip_derived_cl247]) ).
thf('86',plain,
( ! [X0: $i] : ( zip_tseitin_26 @ X0 )
| ! [X1: $i,X2: $i,X3: $i] :
~ ( zip_tseitin_27 @ X1 @ X2 @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1566_100,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl255_101,plain,
( ( p1 @ sk__8 )
<= ( p1 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf('87',plain,
( ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ~ ( p1 @ sk__8 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl255]) ).
thf(zip_derived_cl310_102,plain,
( ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 )
<= ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i] :
( ( q1 @ X0 )
| ~ ( zip_tseitin_62 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_92]) ).
thf(zip_derived_cl713,plain,
( ! [X0: $i] : ( q1 @ ( sk__18 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl116]) ).
thf(zip_derived_cl1549_103,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf(zip_derived_cl1564,plain,
( ! [X0: $i] :
~ ( p1 @ ( sk__18 @ X0 ) )
<= ( ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl1549]) ).
thf(zip_derived_cl717_104,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl117]) ).
thf('88',plain,
( ~ ! [X0: $i] : ( zip_tseitin_62 @ ( sk__18 @ X0 ) @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl717]) ).
thf(zip_derived_cl611_105,plain,
( ! [X0: $i] : ( q1 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_55 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl104]) ).
thf(zip_derived_cl1549_106,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf(zip_derived_cl1561,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_55 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl1549]) ).
thf(zip_derived_cl296_107,plain,
( ! [X0: $i] : ( zip_tseitin_55 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_55 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl108]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( zip_tseitin_55 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_106]) ).
thf(zip_derived_cl693,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_55 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl105]) ).
thf('89',plain,
( ~ ! [X0: $i] : ( zip_tseitin_55 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1561,zip_derived_cl693]) ).
thf(zip_derived_cl2090_108,plain,
( ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) )
<= ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1615]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ( zip_tseitin_13 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_184]) ).
thf(zip_derived_cl220,plain,
( ! [X2: $i] : ( zip_tseitin_13 @ X2 )
<= ! [X2: $i] : ( zip_tseitin_13 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( q1 @ X0 )
| ( p1 @ X0 )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_192]) ).
thf(zip_derived_cl488,plain,
( ! [X0: $i] :
( ~ ( q1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X2: $i] : ( zip_tseitin_13 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl24]) ).
thf(zip_derived_cl2091,plain,
( ! [X0: $i] :
( ( p1 @ X0 )
| ( p1 @ X0 ) )
<= ( ! [X2: $i] : ( zip_tseitin_13 @ X2 )
& ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2090,zip_derived_cl488]) ).
thf(zip_derived_cl2100,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ( ! [X2: $i] : ( zip_tseitin_13 @ X2 )
& ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2091]) ).
thf(zip_derived_cl25_109,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl27_110,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_188]) ).
thf(zip_derived_cl497_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_17 @ X1 @ X0 )
| ~ ( zip_tseitin_15 @ X2 @ X1 )
| ~ ( zip_tseitin_14 @ X2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl29]) ).
thf(zip_derived_cl1233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p1 @ X0 )
| ( zip_tseitin_17 @ X0 @ X2 )
| ~ ( zip_tseitin_14 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl497]) ).
thf(zip_derived_cl1609,plain,
! [X0: $i,X2: $i] :
( ~ ( p1 @ X0 )
| ~ ( p1 @ X2 )
| ( zip_tseitin_17 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1233]) ).
thf(zip_derived_cl366,plain,
( ~ ( zip_tseitin_17 @ sk__56 @ sk__55 )
<= ~ ( zip_tseitin_17 @ sk__56 @ sk__55 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl2049,plain,
( ( ~ ( p1 @ sk__56 )
| ~ ( p1 @ sk__55 ) )
<= ~ ( zip_tseitin_17 @ sk__56 @ sk__55 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1609,zip_derived_cl366]) ).
thf(zip_derived_cl2050,plain,
( ~ ( p1 @ sk__56 )
<= ~ ( p1 @ sk__56 ) ),
inference(split,[status(esa)],[zip_derived_cl2049]) ).
thf('90',plain,
( ( p1 @ sk__56 )
| ~ ! [X2: $i] : ( zip_tseitin_13 @ X2 )
| ~ ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2100,zip_derived_cl2050]) ).
thf(zip_derived_cl2100_112,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ( ! [X2: $i] : ( zip_tseitin_13 @ X2 )
& ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2091]) ).
thf(zip_derived_cl2051,plain,
( ~ ( p1 @ sk__55 )
<= ~ ( p1 @ sk__55 ) ),
inference(split,[status(esa)],[zip_derived_cl2049]) ).
thf('91',plain,
( ( p1 @ sk__55 )
| ~ ! [X2: $i] : ( zip_tseitin_13 @ X2 )
| ~ ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2100,zip_derived_cl2051]) ).
thf('92',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_17 @ X0 @ X1 )
| ! [X1: $i] :
( ( p1 @ X1 )
| ( q1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1615]) ).
thf('93',plain,
( ( zip_tseitin_17 @ sk__56 @ sk__55 )
| ~ ( p1 @ sk__55 )
| ~ ( p1 @ sk__56 ) ),
inference(split,[status(esa)],[zip_derived_cl2049]) ).
thf(zip_derived_cl1566_113,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl1370_114,plain,
( ~ ( zip_tseitin_14 @ sk__40 @ sk__39 )
<= ( ~ ( zip_tseitin_65 @ sk__40 @ sk__39 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl372]) ).
thf(zip_derived_cl26_115,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl1432,plain,
( ( p1 @ sk__40 )
<= ( ~ ( zip_tseitin_65 @ sk__40 @ sk__39 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1370,zip_derived_cl26]) ).
thf('94',plain,
( ( zip_tseitin_65 @ sk__40 @ sk__39 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl1432]) ).
thf(zip_derived_cl111,plain,
( ( a1 @ sk__16 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_98]) ).
thf('95',plain,
( ( a1 @ sk__16 )
| ~ zip_tseitin_59 ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl112,plain,
! [X0: $i] :
( ( b @ X0 )
| ~ zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_98]) ).
thf('96',plain,
( ~ zip_tseitin_59
| ! [X0: $i] : ( b @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl112]) ).
thf(zip_derived_cl114,plain,
! [X0: $i] :
( zip_tseitin_61
| ~ ( zip_tseitin_60 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_94]) ).
thf('97',plain,
( ! [X0: $i] :
~ ( zip_tseitin_60 @ X0 )
| zip_tseitin_61 ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl115,plain,
( zip_tseitin_61
| zip_tseitin_59 ),
inference(cnf,[status(esa)],[zf_stmt_94]) ).
thf('98',plain,
( zip_tseitin_61
| zip_tseitin_59 ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ( zip_tseitin_60 @ X0 )
| ~ ( a1 @ X0 )
| ~ ( b @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_96]) ).
thf(zip_derived_cl304,plain,
( ! [X0: $i] :
~ ( zip_tseitin_60 @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_60 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl830,plain,
( ! [X0: $i] :
( ~ ( b @ X0 )
| ~ ( a1 @ X0 ) )
<= ! [X0: $i] :
~ ( zip_tseitin_60 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl304]) ).
thf(zip_derived_cl302,plain,
( ! [X0: $i] : ( b @ X0 )
<= ! [X0: $i] : ( b @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl112]) ).
thf(zip_derived_cl832,plain,
( ! [X0: $i] :
~ ( a1 @ X0 )
<= ( ! [X0: $i] : ( b @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_60 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl830,zip_derived_cl302]) ).
thf(zip_derived_cl301,plain,
( ( a1 @ sk__16 )
<= ( a1 @ sk__16 ) ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf('99',plain,
( ~ ! [X0: $i] : ( b @ X0 )
| ~ ! [X0: $i] :
~ ( zip_tseitin_60 @ X0 )
| ~ ( a1 @ sk__16 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl832,zip_derived_cl301]) ).
thf(zip_derived_cl73,plain,
! [X0: $i] :
( zip_tseitin_40
| ~ ( zip_tseitin_39 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_138]) ).
thf('100',plain,
( zip_tseitin_40
| ! [X0: $i] :
~ ( zip_tseitin_39 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl74,plain,
( zip_tseitin_40
| ( b @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_138]) ).
thf('101',plain,
( zip_tseitin_40
| ( b @ sk__10 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ( zip_tseitin_39 @ X0 )
| ~ ( b @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_140]) ).
thf(zip_derived_cl269,plain,
( ! [X0: $i] :
~ ( zip_tseitin_39 @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_39 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl620,plain,
( ! [X0: $i] :
~ ( b @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_39 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl269]) ).
thf(zip_derived_cl271,plain,
( ( b @ sk__10 )
<= ( b @ sk__10 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf('102',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_39 @ X0 )
| ~ ( b @ sk__10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl620,zip_derived_cl271]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] :
( zip_tseitin_100
| ~ ( b @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('103',plain,
( ! [X0: $i] :
~ ( b @ X0 )
| zip_tseitin_100 ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl188,plain,
( zip_tseitin_100
| ( a1 @ sk__27 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf('104',plain,
( ( a1 @ sk__27 )
| zip_tseitin_100 ),
inference(split,[status(esa)],[zip_derived_cl188]) ).
thf(zip_derived_cl189,plain,
( zip_tseitin_101
| ~ zip_tseitin_100 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('105',plain,
( zip_tseitin_101
| ~ zip_tseitin_100 ),
inference(split,[status(esa)],[zip_derived_cl189]) ).
thf(zip_derived_cl190,plain,
! [X0: $i] :
( zip_tseitin_101
| ( zip_tseitin_18 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf('106',plain,
( zip_tseitin_101
| ! [X0: $i] : ( zip_tseitin_18 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl350,plain,
( ! [X0: $i] : ( zip_tseitin_18 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_18 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl32_116,plain,
! [X0: $i] :
( ~ ( a1 @ X0 )
| ( b @ X0 )
| ~ ( zip_tseitin_18 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_182]) ).
thf(zip_derived_cl505,plain,
( ! [X0: $i] :
( ~ ( a1 @ X0 )
| ( b @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_18 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl32]) ).
thf(zip_derived_cl222_117,plain,
( ! [X0: $i] :
~ ( b @ X0 )
<= ! [X0: $i] :
~ ( b @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl532,plain,
( ! [X0: $i] :
~ ( a1 @ X0 )
<= ( ! [X0: $i] :
~ ( b @ X0 )
& ! [X0: $i] : ( zip_tseitin_18 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl222]) ).
thf(zip_derived_cl346,plain,
( ( a1 @ sk__27 )
<= ( a1 @ sk__27 ) ),
inference(split,[status(esa)],[zip_derived_cl188]) ).
thf('107',plain,
( ~ ! [X0: $i] : ( zip_tseitin_18 @ X0 )
| ~ ( a1 @ sk__27 )
| ~ ! [X0: $i] :
~ ( b @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl532,zip_derived_cl346]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( zip_tseitin_54
| ~ ( zip_tseitin_53 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_108]) ).
thf('108',plain,
( ! [X0: $i] :
~ ( zip_tseitin_53 @ X0 )
| zip_tseitin_54 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl103,plain,
( zip_tseitin_54
| zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_108]) ).
thf('109',plain,
( zip_tseitin_54
| zip_tseitin_52 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ( zip_tseitin_51 @ X0 )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_112]) ).
thf('110',plain,
( ~ zip_tseitin_52
| ! [X0: $i] : ( zip_tseitin_51 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl100,plain,
( ~ ( zip_tseitin_18 @ sk__15 )
| ~ zip_tseitin_52 ),
inference(cnf,[status(esa)],[zf_stmt_112]) ).
thf('111',plain,
( ~ zip_tseitin_52
| ~ ( zip_tseitin_18 @ sk__15 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ( zip_tseitin_53 @ X0 )
| ~ ( a1 @ X0 )
| ~ ( c @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_110]) ).
thf(zip_derived_cl287,plain,
( ! [X0: $i] :
~ ( zip_tseitin_53 @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_53 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl820,plain,
( ! [X0: $i] :
( ~ ( c @ X0 )
| ~ ( a1 @ X0 ) )
<= ! [X0: $i] :
~ ( zip_tseitin_53 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl287]) ).
thf(zip_derived_cl283,plain,
( ! [X0: $i] : ( zip_tseitin_51 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_51 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ~ ( a1 @ X0 )
| ( zip_tseitin_50 @ X0 )
| ~ ( zip_tseitin_51 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_114]) ).
thf(zip_derived_cl809,plain,
( ! [X0: $i] :
( ~ ( a1 @ X0 )
| ( zip_tseitin_50 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_51 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl98]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( c @ X0 )
| ( b @ X0 )
| ~ ( zip_tseitin_50 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_116]) ).
thf(zip_derived_cl810,plain,
( ! [X0: $i] :
( ~ ( a1 @ X0 )
| ( c @ X0 )
| ( b @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_51 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl809,zip_derived_cl97]) ).
thf(zip_derived_cl888,plain,
( ! [X0: $i] :
( ~ ( a1 @ X0 )
| ~ ( a1 @ X0 )
| ( b @ X0 ) )
<= ( ! [X0: $i] : ( zip_tseitin_51 @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_53 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl820,zip_derived_cl810]) ).
thf(zip_derived_cl889,plain,
( ! [X0: $i] :
( ( b @ X0 )
| ~ ( a1 @ X0 ) )
<= ( ! [X0: $i] : ( zip_tseitin_51 @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_53 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl888]) ).
thf(zip_derived_cl95,plain,
! [X0: $i] :
( ( zip_tseitin_18 @ X0 )
| ~ ( b @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_118]) ).
thf(zip_derived_cl285,plain,
( ~ ( zip_tseitin_18 @ sk__15 )
<= ~ ( zip_tseitin_18 @ sk__15 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl682,plain,
( ~ ( b @ sk__15 )
<= ~ ( zip_tseitin_18 @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl285]) ).
thf(zip_derived_cl915,plain,
( ~ ( a1 @ sk__15 )
<= ( ~ ( zip_tseitin_18 @ sk__15 )
& ! [X0: $i] : ( zip_tseitin_51 @ X0 )
& ! [X0: $i] :
~ ( zip_tseitin_53 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl889,zip_derived_cl682]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( zip_tseitin_18 @ X0 )
| ( a1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_118]) ).
thf(zip_derived_cl285_118,plain,
( ~ ( zip_tseitin_18 @ sk__15 )
<= ~ ( zip_tseitin_18 @ sk__15 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl689,plain,
( ( a1 @ sk__15 )
<= ~ ( zip_tseitin_18 @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl285]) ).
thf('112',plain,
( ( zip_tseitin_18 @ sk__15 )
| ~ ! [X0: $i] : ( zip_tseitin_51 @ X0 )
| ~ ! [X0: $i] :
~ ( zip_tseitin_53 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl915,zip_derived_cl689]) ).
thf(zip_derived_cl13,plain,
( a0
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_204]) ).
thf('113',plain,
( a0
| ~ zip_tseitin_7 ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl14,plain,
( b0
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_204]) ).
thf('114',plain,
( b0
| ~ zip_tseitin_7 ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
( zip_tseitin_9
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_200]) ).
thf('115',plain,
( zip_tseitin_9
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl18,plain,
( zip_tseitin_9
| zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_200]) ).
thf('116',plain,
( zip_tseitin_7
| zip_tseitin_9 ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl15,plain,
( zip_tseitin_8
| ~ b0
| ~ a0 ),
inference(cnf,[status(esa)],[zf_stmt_202]) ).
thf('117',plain,
( zip_tseitin_8
| ~ b0
| ~ a0 ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1566_119,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl312_120,plain,
( ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
<= ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf(zip_derived_cl497_121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_17 @ X1 @ X0 )
| ~ ( zip_tseitin_15 @ X2 @ X1 )
| ~ ( zip_tseitin_14 @ X2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl29]) ).
thf(zip_derived_cl1235,plain,
( ! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ~ ( zip_tseitin_14 @ X0 @ X1 ) )
<= ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl497]) ).
thf(zip_derived_cl366_122,plain,
( ~ ( zip_tseitin_17 @ sk__56 @ sk__55 )
<= ~ ( zip_tseitin_17 @ sk__56 @ sk__55 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1236,plain,
( ~ ( zip_tseitin_14 @ sk__56 @ sk__55 )
<= ( ~ ( zip_tseitin_17 @ sk__56 @ sk__55 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1235,zip_derived_cl366]) ).
thf(zip_derived_cl26_123,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl1246,plain,
( ( p1 @ sk__56 )
<= ( ~ ( zip_tseitin_17 @ sk__56 @ sk__55 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1236,zip_derived_cl26]) ).
thf('118',plain,
( ( zip_tseitin_17 @ sk__56 @ sk__55 )
| ~ ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl1246]) ).
thf(zip_derived_cl1566_124,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl874_125,plain,
( ! [X0: $i] :
( ~ ( q1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl122]) ).
thf(zip_derived_cl650_126,plain,
( ( q1 @ ( f @ sk__44 ) )
<= ~ ( zip_tseitin_38 @ sk__45 @ sk__44 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl370]) ).
thf(zip_derived_cl878,plain,
( ( p1 @ ( f @ sk__44 ) )
<= ( ~ ( zip_tseitin_38 @ sk__45 @ sk__44 )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl874,zip_derived_cl650]) ).
thf('119',plain,
( ~ ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ( zip_tseitin_38 @ sk__45 @ sk__44 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl878]) ).
thf(zip_derived_cl221,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_17 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_17 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl366_127,plain,
( ~ ( zip_tseitin_17 @ sk__56 @ sk__55 )
<= ~ ( zip_tseitin_17 @ sk__56 @ sk__55 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('120',plain,
( ( zip_tseitin_17 @ sk__56 @ sk__55 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_17 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl366]) ).
thf('121',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_65 @ X0 @ X1 )
| ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf('122',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_17 @ X0 @ X1 )
| ! [X2: $i] : ( zip_tseitin_13 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_38 @ X0 @ X1 )
| ~ ( zip_tseitin_33 @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_142]) ).
thf(zip_derived_cl59_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( q1 @ X0 )
| ~ ( zip_tseitin_32 @ X1 @ X0 @ X2 @ X3 )
| ( zip_tseitin_33 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_152]) ).
thf(zip_derived_cl640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_38 @ X1 @ X0 )
| ~ ( q1 @ X2 )
| ~ ( zip_tseitin_32 @ X3 @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl59]) ).
thf(zip_derived_cl58_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_32 @ X0 @ X1 @ X2 @ X3 )
| ( p1 @ ( f @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_154]) ).
thf(zip_derived_cl1336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( q1 @ X2 )
| ( zip_tseitin_38 @ X1 @ X0 )
| ( p1 @ ( f @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl640,zip_derived_cl58]) ).
thf('123',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_38 @ X1 @ X0 )
| ! [X3: $i] : ( p1 @ ( f @ X3 ) )
| ! [X2: $i] :
~ ( q1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl1336]) ).
thf('124',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_34 @ X0 @ X1 )
| ! [X3: $i] : ( p1 @ ( f @ X3 ) )
| ! [X2: $i] :
~ ( q1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl1270]) ).
thf(zip_derived_cl1566_130,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl874_131,plain,
( ! [X0: $i] :
( ~ ( q1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl122]) ).
thf(zip_derived_cl196_132,plain,
( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
<= ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl877,plain,
( ! [X0: $i] : ( p1 @ ( f @ X0 ) )
<= ( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
& ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl874,zip_derived_cl196]) ).
thf('125',plain,
( ~ ! [X2: $i] : ( zip_tseitin_15 @ X2 @ X2 )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl877]) ).
thf(zip_derived_cl1566_133,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ( ! [X0: $i] : ( zip_tseitin_10 @ X0 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1560]) ).
thf(zip_derived_cl488_134,plain,
( ! [X0: $i] :
( ~ ( q1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X2: $i] : ( zip_tseitin_13 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl24]) ).
thf(zip_derived_cl196_135,plain,
( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
<= ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl507,plain,
( ! [X0: $i] : ( p1 @ ( f @ X0 ) )
<= ( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
& ! [X2: $i] : ( zip_tseitin_13 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl488,zip_derived_cl196]) ).
thf('126',plain,
( ~ ! [X2: $i] : ( zip_tseitin_13 @ X2 )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl507]) ).
thf(zip_derived_cl1349_136,plain,
( ! [X2: $i] :
~ ( q1 @ X2 )
<= ! [X2: $i] :
~ ( q1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl1270]) ).
thf(zip_derived_cl196_137,plain,
( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
<= ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf('127',plain,
( ~ ! [X2: $i] :
~ ( q1 @ X2 )
| ~ ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1349,zip_derived_cl196]) ).
thf(zip_derived_cl358,plain,
( ! [X12: $i,X13: $i] :
~ ( zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57 )
<= ! [X12: $i,X13: $i] :
~ ( zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_6 @ X0 @ X1 @ X2 @ X3 )
| ~ ( zip_tseitin_5 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_206]) ).
thf(zip_derived_cl513,plain,
( ~ ( zip_tseitin_5 @ sk__58 @ sk__57 )
<= ! [X12: $i,X13: $i] :
~ ( zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl358,zip_derived_cl11]) ).
thf(zip_derived_cl358_138,plain,
( ! [X12: $i,X13: $i] :
~ ( zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57 )
<= ! [X12: $i,X13: $i] :
~ ( zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_6 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_5 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_206]) ).
thf(zip_derived_cl514,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_5 @ X1 @ X0 )
<= ! [X12: $i,X13: $i] :
~ ( zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl358,zip_derived_cl12]) ).
thf('128',plain,
~ ! [X12: $i,X13: $i] :
~ ( zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57 ),
inference(demod,[status(thm)],[zip_derived_cl513,zip_derived_cl514]) ).
thf(zip_derived_cl194,plain,
( zip_tseitin_103
| ( p1 @ sk__28 )
| ( p1 @ sk__29 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl356,plain,
( ( p1 @ sk__28 )
<= ( p1 @ sk__28 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl243_139,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ! [X0: $i] :
~ ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf('129',plain,
( ~ ! [X0: $i] :
~ ( p1 @ X0 )
| ~ ( p1 @ sk__28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl243]) ).
thf(zip_derived_cl355,plain,
( ( p1 @ sk__29 )
<= ( p1 @ sk__29 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl243_140,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ! [X0: $i] :
~ ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf('130',plain,
( ~ ! [X0: $i] :
~ ( p1 @ X0 )
| ~ ( p1 @ sk__29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl243]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_103
| ~ ( p1 @ X0 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf('131',plain,
( zip_tseitin_103
| ! [X0: $i] :
~ ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf('132',plain,
( zip_tseitin_103
| ( p1 @ sk__28 )
| ( p1 @ sk__29 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl176,plain,
( zip_tseitin_95
| ~ ( zip_tseitin_94 @ sk__22 @ sk__21 ) ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('133',plain,
( zip_tseitin_95
| ~ ( zip_tseitin_94 @ sk__22 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf(zip_derived_cl177,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_95
| ( zip_tseitin_93 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf('134',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 )
| zip_tseitin_95 ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf(zip_derived_cl175,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_94 @ X0 @ X1 )
| ( eq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf(zip_derived_cl326,plain,
( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
<= ~ ( zip_tseitin_94 @ sk__22 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf(zip_derived_cl955,plain,
( ( eq @ sk__21 @ sk__22 )
<= ~ ( zip_tseitin_94 @ sk__22 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl326]) ).
thf(zip_derived_cl328,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf(zip_derived_cl173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eq @ X0 @ X1 )
| ( zip_tseitin_92 @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_93 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(zip_derived_cl1193,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( eq @ X0 @ X1 )
| ( zip_tseitin_92 @ X2 @ X1 @ X0 ) )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl173]) ).
thf(zip_derived_cl1194,plain,
( ! [X0: $i] : ( zip_tseitin_92 @ X0 @ sk__22 @ sk__21 )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl955,zip_derived_cl1193]) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( a_member_of @ X0 @ X1 )
| ( a_member_of @ X0 @ X2 )
| ~ ( zip_tseitin_92 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl1267,plain,
( ! [X0: $i] :
( ~ ( a_member_of @ X0 @ sk__21 )
| ( a_member_of @ X0 @ sk__22 ) )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1194,zip_derived_cl169]) ).
thf(zip_derived_cl328_141,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_92 @ ( sk__20 @ X0 @ X1 ) @ X1 @ X0 )
| ( eq @ X0 @ X1 )
| ~ ( zip_tseitin_93 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(zip_derived_cl171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_92 @ X0 @ X1 @ X2 )
| ( a_member_of @ X0 @ X1 )
| ( a_member_of @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl1171,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_93 @ X1 @ X0 )
| ( eq @ X0 @ X1 )
| ( a_member_of @ ( sk__20 @ X0 @ X1 ) @ X1 )
| ( a_member_of @ ( sk__20 @ X0 @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl171]) ).
thf(zip_derived_cl1481,plain,
( ! [X0: $i,X1: $i] :
( ( eq @ X0 @ X1 )
| ( a_member_of @ ( sk__20 @ X0 @ X1 ) @ X1 )
| ( a_member_of @ ( sk__20 @ X0 @ X1 ) @ X0 ) )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl1171]) ).
thf(zip_derived_cl1194_142,plain,
( ! [X0: $i] : ( zip_tseitin_92 @ X0 @ sk__22 @ sk__21 )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl955,zip_derived_cl1193]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( a_member_of @ X0 @ X1 )
| ( a_member_of @ X0 @ X2 )
| ~ ( zip_tseitin_92 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl1266,plain,
( ! [X0: $i] :
( ~ ( a_member_of @ X0 @ sk__22 )
| ( a_member_of @ X0 @ sk__21 ) )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1194,zip_derived_cl168]) ).
thf(zip_derived_cl1484,plain,
( ! [X0: $i] :
( ( a_member_of @ ( sk__20 @ sk__22 @ X0 ) @ X0 )
| ( eq @ sk__22 @ X0 )
| ( a_member_of @ ( sk__20 @ sk__22 @ X0 ) @ sk__21 ) )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1481,zip_derived_cl1266]) ).
thf(zip_derived_cl1524,plain,
( ( ( eq @ sk__22 @ sk__21 )
| ( a_member_of @ ( sk__20 @ sk__22 @ sk__21 ) @ sk__21 ) )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1484]) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_94 @ X0 @ X1 )
| ~ ( eq @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf(zip_derived_cl326_143,plain,
( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
<= ~ ( zip_tseitin_94 @ sk__22 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf(zip_derived_cl953,plain,
( ~ ( eq @ sk__22 @ sk__21 )
<= ~ ( zip_tseitin_94 @ sk__22 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl326]) ).
thf(zip_derived_cl1525,plain,
( ( a_member_of @ ( sk__20 @ sk__22 @ sk__21 ) @ sk__21 )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1524,zip_derived_cl953]) ).
thf(zip_derived_cl172_144,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_92 @ ( sk__20 @ X0 @ X1 ) @ X1 @ X0 )
| ( eq @ X0 @ X1 )
| ~ ( zip_tseitin_93 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_92 @ X0 @ X1 @ X2 )
| ~ ( a_member_of @ X0 @ X1 )
| ~ ( a_member_of @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl1170,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_93 @ X1 @ X0 )
| ( eq @ X0 @ X1 )
| ~ ( a_member_of @ ( sk__20 @ X0 @ X1 ) @ X1 )
| ~ ( a_member_of @ ( sk__20 @ X0 @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl170]) ).
thf(zip_derived_cl1532,plain,
( ( ~ ( zip_tseitin_93 @ sk__21 @ sk__22 )
| ( eq @ sk__22 @ sk__21 )
| ~ ( a_member_of @ ( sk__20 @ sk__22 @ sk__21 ) @ sk__22 ) )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl1170]) ).
thf(zip_derived_cl328_145,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf(zip_derived_cl953_146,plain,
( ~ ( eq @ sk__22 @ sk__21 )
<= ~ ( zip_tseitin_94 @ sk__22 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl326]) ).
thf(zip_derived_cl1533,plain,
( ~ ( a_member_of @ ( sk__20 @ sk__22 @ sk__21 ) @ sk__22 )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1532,zip_derived_cl328,zip_derived_cl953]) ).
thf(zip_derived_cl1536,plain,
( ~ ( a_member_of @ ( sk__20 @ sk__22 @ sk__21 ) @ sk__21 )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1267,zip_derived_cl1533]) ).
thf(zip_derived_cl1525_147,plain,
( ( a_member_of @ ( sk__20 @ sk__22 @ sk__21 ) @ sk__21 )
<= ( ~ ( zip_tseitin_94 @ sk__22 @ sk__21 )
& ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1524,zip_derived_cl953]) ).
thf('135',plain,
( ( zip_tseitin_94 @ sk__22 @ sk__21 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_93 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1536,zip_derived_cl1525]) ).
thf(zip_derived_cl184,plain,
! [X0: $i] :
( zip_tseitin_99
| ~ ( p @ X0 @ sk__25 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('136',plain,
( zip_tseitin_99
| ! [X0: $i] :
~ ( p @ X0 @ sk__25 ) ),
inference(split,[status(esa)],[zip_derived_cl184]) ).
thf(zip_derived_cl185,plain,
! [X0: $i] :
( zip_tseitin_99
| ( p @ sk__26 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf('137',plain,
( zip_tseitin_99
| ! [X0: $i] : ( p @ sk__26 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl185]) ).
thf(zip_derived_cl342,plain,
( ! [X0: $i] : ( p @ sk__26 @ X0 )
<= ! [X0: $i] : ( p @ sk__26 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl185]) ).
thf(zip_derived_cl340,plain,
( ! [X0: $i] :
~ ( p @ X0 @ sk__25 )
<= ! [X0: $i] :
~ ( p @ X0 @ sk__25 ) ),
inference(split,[status(esa)],[zip_derived_cl184]) ).
thf('138',plain,
( ~ ! [X0: $i] :
~ ( p @ X0 @ sk__25 )
| ~ ! [X0: $i] : ( p @ sk__26 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl340]) ).
thf(zip_derived_cl66,plain,
( zip_tseitin_37
| ~ b0 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('139',plain,
( zip_tseitin_37
| ~ b0 ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl67,plain,
( zip_tseitin_37
| ~ a0 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('140',plain,
( zip_tseitin_37
| ~ a0 ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl68,plain,
( zip_tseitin_37
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_144]) ).
thf('141',plain,
( zip_tseitin_37
| ~ zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf(zip_derived_cl16,plain,
( zip_tseitin_8
| b0
| a0 ),
inference(cnf,[status(esa)],[zf_stmt_202]) ).
thf('142',plain,
( b0
| a0
| zip_tseitin_8 ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( zip_tseitin_36
| ~ ( a @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_146]) ).
thf('143',plain,
( zip_tseitin_36
| ! [X0: $i] :
~ ( a @ X0 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( zip_tseitin_36
| ( zip_tseitin_35 @ ( sk__9 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_146]) ).
thf('144',plain,
( zip_tseitin_36
| ! [X0: $i] : ( zip_tseitin_35 @ ( sk__9 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl261,plain,
( ! [X0: $i] : ( zip_tseitin_35 @ ( sk__9 @ X0 ) @ X0 )
<= ! [X0: $i] : ( zip_tseitin_35 @ ( sk__9 @ X0 ) @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ( a @ X0 @ X0 )
| ~ ( zip_tseitin_35 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_148]) ).
thf(zip_derived_cl614,plain,
( ! [X0: $i] : ( a @ ( sk__9 @ X0 ) @ ( sk__9 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_35 @ ( sk__9 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl62]) ).
thf(zip_derived_cl259,plain,
( ! [X0: $i] :
~ ( a @ X0 @ X0 )
<= ! [X0: $i] :
~ ( a @ X0 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf('145',plain,
( ~ ! [X0: $i] :
~ ( a @ X0 @ X0 )
| ~ ! [X0: $i] : ( zip_tseitin_35 @ ( sk__9 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl259]) ).
thf(zip_derived_cl90,plain,
( zip_tseitin_47
| ~ ( p @ sk__12 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_124]) ).
thf('146',plain,
( zip_tseitin_47
| ~ ( p @ sk__12 @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_47
| ( p @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_124]) ).
thf('147',plain,
( zip_tseitin_47
| ! [X0: $i,X1: $i] : ( p @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl277,plain,
( ! [X0: $i,X1: $i] : ( p @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( p @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl275,plain,
( ~ ( p @ sk__12 @ sk__12 )
<= ~ ( p @ sk__12 @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf('148',plain,
( ( p @ sk__12 @ sk__12 )
| ~ ! [X0: $i,X1: $i] : ( p @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl275]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_46 @ X0 @ X1 @ X2 @ X3 )
| ~ ( p @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_126]) ).
thf(zip_derived_cl361,plain,
( ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 )
<= ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl757,plain,
( ~ ( p @ sk__42 @ sk__43 )
<= ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl361]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_46 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_45 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_126]) ).
thf(zip_derived_cl361_148,plain,
( ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 )
<= ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl769,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_45 @ X1 @ X0 @ sk__43 @ sk__42 )
<= ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl361]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_42 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_45 @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_128]) ).
thf(zip_derived_cl778,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_42 @ X1 @ X0 @ sk__42 )
<= ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl769,zip_derived_cl86]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( p @ X0 @ X1 )
| ~ ( zip_tseitin_42 @ X1 @ X0 @ X2 )
| ~ ( s1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_134]) ).
thf(zip_derived_cl811,plain,
( ! [X0: $i,X1: $i] :
( ( p @ X0 @ X1 )
| ~ ( s1 @ sk__42 ) )
<= ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl778,zip_derived_cl77]) ).
thf(zip_derived_cl769_149,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_45 @ X1 @ X0 @ sk__43 @ sk__42 )
<= ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl361]) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s1 @ X0 )
| ~ ( zip_tseitin_45 @ X1 @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_128]) ).
thf(zip_derived_cl774,plain,
( ( s1 @ sk__42 )
<= ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl769,zip_derived_cl87]) ).
thf(zip_derived_cl812,plain,
( ! [X0: $i,X1: $i] : ( p @ X0 @ X1 )
<= ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ) ),
inference(demod,[status(thm)],[zip_derived_cl811,zip_derived_cl774]) ).
thf('149',plain,
~ ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 ),
inference(demod,[status(thm)],[zip_derived_cl757,zip_derived_cl812]) ).
thf(zip_derived_cl38,plain,
( zip_tseitin_21
| ( a @ sk__3 @ sk__2 )
| ( a @ sk__4 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_176]) ).
thf(zip_derived_cl234,plain,
( ( a @ sk__3 @ sk__2 )
<= ( a @ sk__3 @ sk__2 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( zip_tseitin_21
| ~ ( a @ X0 @ X1 )
| ~ ( a @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_176]) ).
thf(zip_derived_cl230,plain,
( ! [X2: $i,X3: $i] :
~ ( a @ X2 @ X3 )
<= ! [X2: $i,X3: $i] :
~ ( a @ X2 @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('150',plain,
( ~ ! [X2: $i,X3: $i] :
~ ( a @ X2 @ X3 )
| ~ ( a @ sk__3 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl230]) ).
thf(zip_derived_cl233,plain,
( ( a @ sk__4 @ sk__5 )
<= ( a @ sk__4 @ sk__5 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl230_150,plain,
( ! [X2: $i,X3: $i] :
~ ( a @ X2 @ X3 )
<= ! [X2: $i,X3: $i] :
~ ( a @ X2 @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('151',plain,
( ~ ! [X2: $i,X3: $i] :
~ ( a @ X2 @ X3 )
| ~ ( a @ sk__4 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl230]) ).
thf('152',plain,
( zip_tseitin_21
| ! [X2: $i,X3: $i] :
~ ( a @ X2 @ X3 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('153',plain,
( zip_tseitin_21
| ( a @ sk__3 @ sk__2 )
| ( a @ sk__4 @ sk__5 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_74 @ X0 @ X1 )
| ~ ( zip_tseitin_76 @ X0 @ X1 @ X2 )
| ( zip_tseitin_77 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_60]) ).
thf(zip_derived_cl362,plain,
( ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl981,plain,
( ! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_76 @ X1 @ ( sk__35 @ X0 ) @ X0 )
| ~ ( zip_tseitin_74 @ X1 @ ( sk__35 @ X0 ) ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl362]) ).
thf(zip_derived_cl142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_76 @ X0 @ X1 @ X2 )
| ~ ( p @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_62]) ).
thf(zip_derived_cl983,plain,
( ! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_74 @ X1 @ ( sk__35 @ X0 ) )
| ~ ( p @ X1 @ ( sk__35 @ X0 ) ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl981,zip_derived_cl142]) ).
thf(zip_derived_cl981_151,plain,
( ! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_76 @ X1 @ ( sk__35 @ X0 ) @ X0 )
| ~ ( zip_tseitin_74 @ X1 @ ( sk__35 @ X0 ) ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl362]) ).
thf(zip_derived_cl143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_76 @ X0 @ X1 @ X2 )
| ( zip_tseitin_75 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_62]) ).
thf(zip_derived_cl984,plain,
( ! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_74 @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_75 @ X1 @ X0 ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl981,zip_derived_cl143]) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_74 @ X0 @ X1 )
| ( p @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl995,plain,
( ! [X0: $i,X1: $i] :
( ( zip_tseitin_75 @ X1 @ X0 )
| ( p @ X1 @ ( sk__35 @ X0 ) ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl984,zip_derived_cl139]) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_74 @ X0 @ X1 )
| ~ ( p @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl1001,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_75 @ X1 @ X0 )
| ( zip_tseitin_74 @ ( sk__35 @ X0 ) @ X2 ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl138]) ).
thf(zip_derived_cl984_152,plain,
( ! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_74 @ X1 @ ( sk__35 @ X0 ) )
| ( zip_tseitin_75 @ X1 @ X0 ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl981,zip_derived_cl143]) ).
thf(zip_derived_cl1010,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_75 @ X2 @ X1 )
| ( zip_tseitin_75 @ ( sk__35 @ X1 ) @ X0 ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1001,zip_derived_cl984]) ).
thf(zip_derived_cl1035,plain,
( ! [X0: $i] : ( zip_tseitin_75 @ ( sk__35 @ X0 ) @ X0 )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1010]) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i] :
( ( p @ X0 @ X1 )
| ~ ( zip_tseitin_75 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf(zip_derived_cl1037,plain,
( ! [X0: $i] : ( p @ X0 @ ( sk__35 @ X0 ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1035,zip_derived_cl140]) ).
thf(zip_derived_cl1001_153,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_75 @ X1 @ X0 )
| ( zip_tseitin_74 @ ( sk__35 @ X0 ) @ X2 ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl138]) ).
thf(zip_derived_cl140_154,plain,
! [X0: $i,X1: $i] :
( ( p @ X0 @ X1 )
| ~ ( zip_tseitin_75 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf(zip_derived_cl1007,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_74 @ ( sk__35 @ X0 ) @ X2 )
| ( p @ X0 @ X1 ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1001,zip_derived_cl140]) ).
thf(zip_derived_cl983_155,plain,
( ! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_74 @ X1 @ ( sk__35 @ X0 ) )
| ~ ( p @ X1 @ ( sk__35 @ X0 ) ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl981,zip_derived_cl142]) ).
thf(zip_derived_cl1013,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( p @ X1 @ X2 )
| ~ ( p @ ( sk__35 @ X1 ) @ ( sk__35 @ X0 ) ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1007,zip_derived_cl983]) ).
thf(zip_derived_cl1072,plain,
( ! [X0: $i,X1: $i] : ( p @ X0 @ X1 )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1037,zip_derived_cl1013]) ).
thf(zip_derived_cl1090,plain,
( ! [X0: $i,X1: $i] :
~ ( zip_tseitin_74 @ X1 @ ( sk__35 @ X0 ) )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference(demod,[status(thm)],[zip_derived_cl983,zip_derived_cl1072]) ).
thf(zip_derived_cl1072_156,plain,
( ! [X0: $i,X1: $i] : ( p @ X0 @ X1 )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1037,zip_derived_cl1013]) ).
thf(zip_derived_cl138_157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_74 @ X0 @ X1 )
| ~ ( p @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl1091,plain,
( ! [X0: $i,X2: $i] : ( zip_tseitin_74 @ X0 @ X2 )
<= ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1072,zip_derived_cl138]) ).
thf('154',plain,
~ ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 ),
inference(demod,[status(thm)],[zip_derived_cl1090,zip_derived_cl1091]) ).
thf(zip_derived_cl313_158,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_65 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_65 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf(zip_derived_cl372_159,plain,
( ~ ( zip_tseitin_65 @ sk__40 @ sk__39 )
<= ~ ( zip_tseitin_65 @ sk__40 @ sk__39 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('155',plain,
( ( zip_tseitin_65 @ sk__40 @ sk__39 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_65 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl372]) ).
thf(zip_derived_cl135,plain,
( ( zip_tseitin_71 @ sk__19 )
| ~ zip_tseitin_72 ),
inference(cnf,[status(esa)],[zf_stmt_70]) ).
thf(zip_derived_cl316,plain,
( ( zip_tseitin_71 @ sk__19 )
<= ( zip_tseitin_71 @ sk__19 ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl133,plain,
! [X0: $i] :
( ~ ( q1 @ X0 )
| ( r1 @ X0 )
| ~ ( zip_tseitin_71 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_72]) ).
thf(zip_derived_cl749,plain,
( ( ~ ( q1 @ sk__19 )
| ( r1 @ sk__19 ) )
<= ( zip_tseitin_71 @ sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl133]) ).
thf(zip_derived_cl751,plain,
( ~ ( q1 @ sk__19 )
<= ~ ( q1 @ sk__19 ) ),
inference(split,[status(esa)],[zip_derived_cl749]) ).
thf(zip_derived_cl487_160,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ( q1 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl19]) ).
thf(zip_derived_cl753,plain,
( ~ ( p1 @ sk__19 )
<= ( ~ ( q1 @ sk__19 )
& ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl751,zip_derived_cl487]) ).
thf(zip_derived_cl473_161,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl318,zip_derived_cl10]) ).
thf('156',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 )
| ( q1 @ sk__19 )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl753,zip_derived_cl473]) ).
thf(zip_derived_cl750,plain,
( ( r1 @ sk__19 )
<= ( r1 @ sk__19 ) ),
inference(split,[status(esa)],[zip_derived_cl749]) ).
thf(zip_derived_cl318_162,plain,
( ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl136]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ~ ( r1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_208]) ).
thf(zip_derived_cl472,plain,
( ! [X0: $i] :
~ ( r1 @ X0 )
<= ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl318,zip_derived_cl9]) ).
thf('157',plain,
( ~ ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 )
| ~ ( r1 @ sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl750,zip_derived_cl472]) ).
thf('158',plain,
( ( zip_tseitin_71 @ sk__19 )
| ~ zip_tseitin_72 ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf('159',plain,
( zip_tseitin_73
| ! [X0: $i] :
~ ( zip_tseitin_5 @ X0 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl136]) ).
thf(zip_derived_cl137,plain,
( zip_tseitin_73
| zip_tseitin_72 ),
inference(cnf,[status(esa)],[zf_stmt_68]) ).
thf('160',plain,
( zip_tseitin_73
| zip_tseitin_72 ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf('161',plain,
( ( r1 @ sk__19 )
| ~ ( zip_tseitin_71 @ sk__19 )
| ~ ( q1 @ sk__19 ) ),
inference(split,[status(esa)],[zip_derived_cl749]) ).
thf(zip_derived_cl20,plain,
( zip_tseitin_11
| ~ ( q1 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_196]) ).
thf('162',plain,
( zip_tseitin_11
| ~ ( q1 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf('163',plain,
( zip_tseitin_11
| ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl487_163,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ( q1 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl19]) ).
thf(zip_derived_cl212,plain,
( ~ ( q1 @ sk_ )
<= ~ ( q1 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl526,plain,
( ~ ( p1 @ sk_ )
<= ( ~ ( q1 @ sk_ )
& ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl212]) ).
thf(zip_derived_cl214_164,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('164',plain,
( ( q1 @ sk_ )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl526,zip_derived_cl214]) ).
thf(zip_derived_cl149,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_80 @ X0 )
| ( zip_tseitin_79 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_54]) ).
thf(zip_derived_cl324,plain,
( ! [X1: $i] : ( zip_tseitin_79 @ X1 )
<= ! [X1: $i] : ( zip_tseitin_79 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl147,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( p1 @ X0 )
| ~ ( zip_tseitin_79 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf(zip_derived_cl938,plain,
( ! [X0: $i] :
( ~ ( r1 @ X0 )
| ( p1 @ X0 ) )
<= ! [X1: $i] : ( zip_tseitin_79 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl147]) ).
thf(zip_derived_cl744_165,plain,
( ( zip_tseitin_78 @ sk__34 )
<= ~ ( zip_tseitin_81 @ sk__34 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl375]) ).
thf(zip_derived_cl146,plain,
! [X0: $i] :
( ( r1 @ X0 )
| ~ ( zip_tseitin_78 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_58]) ).
thf(zip_derived_cl747,plain,
( ( r1 @ sk__34 )
<= ~ ( zip_tseitin_81 @ sk__34 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl744,zip_derived_cl146]) ).
thf(zip_derived_cl942,plain,
( ( p1 @ sk__34 )
<= ( ~ ( zip_tseitin_81 @ sk__34 )
& ! [X1: $i] : ( zip_tseitin_79 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl938,zip_derived_cl747]) ).
thf(zip_derived_cl150,plain,
! [X0: $i] :
( ( zip_tseitin_81 @ X0 )
| ~ ( zip_tseitin_80 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf(zip_derived_cl375_166,plain,
( ~ ( zip_tseitin_81 @ sk__34 )
<= ~ ( zip_tseitin_81 @ sk__34 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl726,plain,
( ~ ( zip_tseitin_80 @ sk__34 )
<= ~ ( zip_tseitin_81 @ sk__34 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl375]) ).
thf(zip_derived_cl148,plain,
! [X0: $i] :
( ( zip_tseitin_80 @ X0 )
| ~ ( q1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_54]) ).
thf(zip_derived_cl728,plain,
( ~ ( q1 @ sk__34 )
<= ~ ( zip_tseitin_81 @ sk__34 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl148]) ).
thf(zip_derived_cl487_167,plain,
( ! [X0: $i] :
( ~ ( p1 @ X0 )
| ( q1 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl19]) ).
thf(zip_derived_cl732,plain,
( ~ ( p1 @ sk__34 )
<= ( ~ ( zip_tseitin_81 @ sk__34 )
& ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl487]) ).
thf('165',plain,
( ( zip_tseitin_81 @ sk__34 )
| ~ ! [X1: $i] : ( zip_tseitin_79 @ X1 )
| ~ ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl942,zip_derived_cl732]) ).
thf(zip_derived_cl726_168,plain,
( ~ ( zip_tseitin_80 @ sk__34 )
<= ~ ( zip_tseitin_81 @ sk__34 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl375]) ).
thf(zip_derived_cl325,plain,
( ! [X0: $i] : ( zip_tseitin_80 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_80 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf('166',plain,
( ( zip_tseitin_81 @ sk__34 )
| ~ ! [X0: $i] : ( zip_tseitin_80 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl726,zip_derived_cl325]) ).
thf('167',plain,
( ! [X0: $i] : ( zip_tseitin_80 @ X0 )
| ! [X1: $i] : ( zip_tseitin_79 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf('168',plain,
( zip_tseitin_12
| ! [X0: $i] : ( zip_tseitin_10 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl359,plain,
( ! [X11: $i] :
~ ( zip_tseitin_14 @ X11 @ ( sk__51 @ X11 ) )
<= ! [X11: $i] :
~ ( zip_tseitin_14 @ X11 @ ( sk__51 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl25_169,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ~ ( p1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl480,plain,
( ! [X0: $i] :
~ ( p1 @ ( sk__51 @ X0 ) )
<= ! [X11: $i] :
~ ( zip_tseitin_14 @ X11 @ ( sk__51 @ X11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl359,zip_derived_cl25]) ).
thf(zip_derived_cl359_170,plain,
( ! [X11: $i] :
~ ( zip_tseitin_14 @ X11 @ ( sk__51 @ X11 ) )
<= ! [X11: $i] :
~ ( zip_tseitin_14 @ X11 @ ( sk__51 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl26_171,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_190]) ).
thf(zip_derived_cl481,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X11: $i] :
~ ( zip_tseitin_14 @ X11 @ ( sk__51 @ X11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl359,zip_derived_cl26]) ).
thf('169',plain,
~ ! [X11: $i] :
~ ( zip_tseitin_14 @ X11 @ ( sk__51 @ X11 ) ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl481]) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
( ( zip_tseitin_41 @ X0 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_136]) ).
thf(zip_derived_cl360,plain,
( ! [X10: $i] :
~ ( zip_tseitin_41 @ X10 )
<= ! [X10: $i] :
~ ( zip_tseitin_41 @ X10 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl648,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ! [X10: $i] :
~ ( zip_tseitin_41 @ X10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl360]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ( zip_tseitin_41 @ X0 )
| ( p1 @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_136]) ).
thf(zip_derived_cl274,plain,
( ( p1 @ sk__11 )
<= ( p1 @ sk__11 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf('170',plain,
( ~ ! [X10: $i] :
~ ( zip_tseitin_41 @ X10 )
| ~ ( p1 @ sk__11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl648,zip_derived_cl274]) ).
thf(zip_derived_cl273,plain,
( ! [X0: $i] : ( zip_tseitin_41 @ X0 )
<= ! [X0: $i] : ( zip_tseitin_41 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl360_172,plain,
( ! [X10: $i] :
~ ( zip_tseitin_41 @ X10 )
<= ! [X10: $i] :
~ ( zip_tseitin_41 @ X10 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('171',plain,
( ~ ! [X10: $i] :
~ ( zip_tseitin_41 @ X10 )
| ~ ! [X0: $i] : ( zip_tseitin_41 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl360]) ).
thf('172',plain,
( ! [X0: $i] : ( zip_tseitin_41 @ X0 )
| ( p1 @ sk__11 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_34 @ X0 @ X1 )
| ( q1 @ ( f @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_150]) ).
thf(zip_derived_cl258,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_34 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_34 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl369_173,plain,
( ~ ( zip_tseitin_34 @ sk__47 @ sk__46 )
<= ~ ( zip_tseitin_34 @ sk__47 @ sk__46 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('173',plain,
( ( zip_tseitin_34 @ sk__47 @ sk__46 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_34 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl369]) ).
thf('174',plain,
( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
| ! [X0: $i,X1: $i] : ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf('175',plain,
( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
| ! [X0: $i,X1: $i] : ( zip_tseitin_34 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1556_174,plain,
( ! [X0: $i] :
~ ( p1 @ ( f @ X0 ) )
<= ( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl196]) ).
thf(zip_derived_cl214_175,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('176',plain,
( ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) )
| ~ ! [X2: $i] : ( q1 @ ( f @ X2 ) )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1556,zip_derived_cl214]) ).
thf(zip_derived_cl1557_176,plain,
( ~ ( p1 @ ( f @ sk__44 ) )
<= ( ~ ( zip_tseitin_38 @ sk__45 @ sk__44 )
& ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl650]) ).
thf(zip_derived_cl214_177,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('177',plain,
( ( zip_tseitin_38 @ sk__45 @ sk__44 )
| ~ ! [X0: $i] : ( p1 @ X0 )
| ~ ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl214]) ).
thf(zip_derived_cl640_178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_38 @ X1 @ X0 )
| ~ ( q1 @ X2 )
| ~ ( zip_tseitin_32 @ X3 @ X2 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl59]) ).
thf(zip_derived_cl575_179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_32 @ X3 @ X2 @ X1 @ X0 )
| ~ ( p1 @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl56]) ).
thf(zip_derived_cl1337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( q1 @ X2 )
| ( zip_tseitin_38 @ X1 @ X0 )
| ~ ( p1 @ X2 )
| ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl640,zip_derived_cl575]) ).
thf('178',plain,
( ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) )
| ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1337]) ).
thf(zip_derived_cl404_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ( zip_tseitin_2 @ X2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl1763,plain,
( ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) )
<= ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1337]) ).
thf(zip_derived_cl1766,plain,
( ! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ~ ( r1 @ X0 )
| ( zip_tseitin_38 @ X0 @ X1 ) )
<= ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl1763]) ).
thf(zip_derived_cl370_181,plain,
( ~ ( zip_tseitin_38 @ sk__45 @ sk__44 )
<= ~ ( zip_tseitin_38 @ sk__45 @ sk__44 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1767,plain,
( ( ~ ( r1 @ sk__45 )
| ~ ( r1 @ sk__44 ) )
<= ( ~ ( zip_tseitin_38 @ sk__45 @ sk__44 )
& ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1766,zip_derived_cl370]) ).
thf(zip_derived_cl1924,plain,
( ~ ( r1 @ sk__44 )
<= ~ ( r1 @ sk__44 ) ),
inference(split,[status(esa)],[zip_derived_cl1767]) ).
thf(zip_derived_cl1548_182,plain,
( ! [X1: $i] : ( r1 @ X1 )
<= ! [X1: $i] : ( r1 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf('179',plain,
( ( r1 @ sk__44 )
| ~ ! [X1: $i] : ( r1 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1924,zip_derived_cl1548]) ).
thf(zip_derived_cl1923,plain,
( ~ ( r1 @ sk__45 )
<= ~ ( r1 @ sk__45 ) ),
inference(split,[status(esa)],[zip_derived_cl1767]) ).
thf(zip_derived_cl1548_183,plain,
( ! [X1: $i] : ( r1 @ X1 )
<= ! [X1: $i] : ( r1 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf('180',plain,
( ( r1 @ sk__45 )
| ~ ! [X1: $i] : ( r1 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1923,zip_derived_cl1548]) ).
thf(zip_derived_cl4_184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ( r1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1763_185,plain,
( ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) )
<= ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1337]) ).
thf(zip_derived_cl1765,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( r1 @ X2 )
| ( zip_tseitin_38 @ X0 @ X1 ) )
<= ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1763]) ).
thf('181',plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_38 @ X1 @ X0 )
| ! [X1: $i] : ( r1 @ X1 )
| ~ ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1765]) ).
thf(zip_derived_cl1737,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_38 @ X1 @ X0 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_38 @ X1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl1336]) ).
thf(zip_derived_cl370_186,plain,
( ~ ( zip_tseitin_38 @ sk__45 @ sk__44 )
<= ~ ( zip_tseitin_38 @ sk__45 @ sk__44 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('182',plain,
( ( zip_tseitin_38 @ sk__45 @ sk__44 )
| ~ ! [X0: $i,X1: $i] : ( zip_tseitin_38 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1737,zip_derived_cl370]) ).
thf('183',plain,
( ( zip_tseitin_38 @ sk__45 @ sk__44 )
| ~ ( r1 @ sk__45 )
| ~ ( r1 @ sk__44 )
| ~ ! [X0: $i,X1: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X3 @ X0 @ X1 )
| ( zip_tseitin_38 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1767]) ).
thf(zip_derived_cl364,plain,
( ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 )
<= ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl364_187,plain,
( ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 )
<= ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl191,plain,
! [X0: $i,X1: $i] :
( ( a @ X0 @ X0 )
| ( a @ X0 @ X1 )
| ~ ( zip_tseitin_102 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl1202,plain,
( ! [X0: $i] :
( ( a @ X0 @ X0 )
| ( a @ X0 @ sk__30 ) )
<= ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl191]) ).
thf(zip_derived_cl1214,plain,
( ( a @ sk__30 @ sk__30 )
<= ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1202]) ).
thf(zip_derived_cl192,plain,
! [X0: $i,X1: $i] :
( ~ ( a @ X0 @ X1 )
| ~ ( a @ X0 @ X0 )
| ~ ( zip_tseitin_102 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl1217,plain,
( ! [X0: $i] :
( ~ ( a @ sk__30 @ X0 )
| ~ ( zip_tseitin_102 @ sk__30 @ X0 ) )
<= ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1214,zip_derived_cl192]) ).
thf(zip_derived_cl1220,plain,
( ~ ( a @ sk__30 @ sk__30 )
<= ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl1217]) ).
thf(zip_derived_cl1214_188,plain,
( ( a @ sk__30 @ sk__30 )
<= ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1202]) ).
thf('184',plain,
~ ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 ),
inference(demod,[status(thm)],[zip_derived_cl1220,zip_derived_cl1214]) ).
thf(zip_derived_cl40,plain,
( zip_tseitin_23
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_172]) ).
thf('185',plain,
( zip_tseitin_23
| ~ zip_tseitin_22 ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl182,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_98 @ X0 @ X1 )
| ~ ( zip_tseitin_48 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl376_189,plain,
( ~ ( zip_tseitin_98 @ sk__32 @ sk__31 )
<= ~ ( zip_tseitin_98 @ sk__32 @ sk__31 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl957,plain,
( ~ ( zip_tseitin_48 @ sk__31 @ sk__32 )
<= ~ ( zip_tseitin_98 @ sk__32 @ sk__31 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl376]) ).
thf(zip_derived_cl92_190,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ X0 )
| ~ ( p1 @ X1 )
| ( zip_tseitin_48 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_122]) ).
thf(zip_derived_cl959,plain,
( ( ~ ( p1 @ sk__31 )
| ~ ( p1 @ sk__32 ) )
<= ~ ( zip_tseitin_98 @ sk__32 @ sk__31 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl957,zip_derived_cl92]) ).
thf('186',plain,
( ( zip_tseitin_98 @ sk__32 @ sk__31 )
| ~ ( p1 @ sk__31 )
| ~ ( p1 @ sk__32 ) ),
inference(split,[status(esa)],[zip_derived_cl959]) ).
thf(zip_derived_cl39,plain,
( zip_tseitin_22
| ~ ( p1 @ sk__6 )
| ~ ( p1 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_174]) ).
thf('187',plain,
( zip_tseitin_22
| ~ ( p1 @ sk__7 )
| ~ ( p1 @ sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf('188',plain,
( zip_tseitin_24
| ! [X0: $i] :
~ ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl962,plain,
( ~ ( p1 @ sk__31 )
<= ~ ( p1 @ sk__31 ) ),
inference(split,[status(esa)],[zip_derived_cl959]) ).
thf(zip_derived_cl214_191,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('189',plain,
( ( p1 @ sk__31 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl962,zip_derived_cl214]) ).
thf(zip_derived_cl961,plain,
( ~ ( p1 @ sk__32 )
<= ~ ( p1 @ sk__32 ) ),
inference(split,[status(esa)],[zip_derived_cl959]) ).
thf(zip_derived_cl214_192,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('190',plain,
( ( p1 @ sk__32 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl961,zip_derived_cl214]) ).
thf(zip_derived_cl214_193,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl236,plain,
( ~ ( p1 @ sk__7 )
<= ~ ( p1 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf('191',plain,
( ( p1 @ sk__7 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl236]) ).
thf(zip_derived_cl214_194,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl237,plain,
( ~ ( p1 @ sk__6 )
<= ~ ( p1 @ sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf('192',plain,
( ( p1 @ sk__6 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl237]) ).
thf(zip_derived_cl214_195,plain,
( ! [X0: $i] : ( p1 @ X0 )
<= ! [X0: $i] : ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl243_196,plain,
( ! [X0: $i] :
~ ( p1 @ X0 )
<= ! [X0: $i] :
~ ( p1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf('193',plain,
( ~ ! [X0: $i] :
~ ( p1 @ X0 )
| ~ ! [X0: $i] : ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl243]) ).
thf('194',plain,
( ~ ( zip_tseitin_98 @ sk__32 @ sk__31 )
| ~ zip_tseitin_23
| ! [X12: $i,X13: $i] :
~ ( zip_tseitin_6 @ X12 @ X13 @ sk__58 @ sk__57 )
| ~ zip_tseitin_103
| ~ zip_tseitin_95
| ~ zip_tseitin_99
| ~ zip_tseitin_37
| ~ zip_tseitin_36
| ~ zip_tseitin_47
| ! [X8: $i,X9: $i] :
~ ( zip_tseitin_46 @ X8 @ X9 @ sk__43 @ sk__42 )
| ~ zip_tseitin_21
| ~ zip_tseitin_61
| ~ zip_tseitin_40
| ~ zip_tseitin_101
| ~ zip_tseitin_54
| ~ zip_tseitin_9
| ~ ( zip_tseitin_17 @ sk__56 @ sk__55 )
| ~ ( zip_tseitin_70 @ sk__36 )
| ~ zip_tseitin_20
| ~ ( zip_tseitin_65 @ sk__40 @ sk__39 )
| ~ zip_tseitin_97
| ! [X6: $i,X7: $i] :
~ ( zip_tseitin_77 @ X6 @ ( sk__35 @ X7 ) @ X7 )
| ~ ( zip_tseitin_58 @ sk__41 )
| ~ zip_tseitin_64
| ~ zip_tseitin_49
| ! [X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
~ ( zip_tseitin_91 @ X1 @ X2 @ X3 @ X4 @ X5 @ sk__33 )
| ~ zip_tseitin_30
| ~ ( zip_tseitin_65 @ sk__38 @ sk__37 )
| ~ ( zip_tseitin_29 @ sk__50 @ sk__49 @ sk__48 )
| ~ ( zip_tseitin_29 @ sk__54 @ sk__53 @ sk__52 )
| ~ ( zip_tseitin_81 @ sk__34 )
| ~ zip_tseitin_73
| ~ zip_tseitin_12
| ~ ( zip_tseitin_4 @ sk__60 @ sk__59 )
| ! [X11: $i] :
~ ( zip_tseitin_14 @ X11 @ ( sk__51 @ X11 ) )
| ! [X10: $i] :
~ ( zip_tseitin_41 @ X10 )
| ~ zip_tseitin_24
| ~ ( zip_tseitin_34 @ sk__47 @ sk__46 )
| ~ ( zip_tseitin_38 @ sk__45 @ sk__44 )
| ! [X0: $i] : ( zip_tseitin_102 @ X0 @ sk__30 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1854_197,plain,
( ~ ( r1 @ sk__59 )
<= ~ ( r1 @ sk__59 ) ),
inference(split,[status(esa)],[zip_derived_cl1611]) ).
thf(zip_derived_cl1548_198,plain,
( ! [X1: $i] : ( r1 @ X1 )
<= ! [X1: $i] : ( r1 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf('195',plain,
( ~ ! [X1: $i] : ( r1 @ X1 )
| ( r1 @ sk__59 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1854,zip_derived_cl1548]) ).
thf(zip_derived_cl1853_199,plain,
( ~ ( r1 @ sk__60 )
<= ~ ( r1 @ sk__60 ) ),
inference(split,[status(esa)],[zip_derived_cl1611]) ).
thf(zip_derived_cl1548_200,plain,
( ! [X1: $i] : ( r1 @ X1 )
<= ! [X1: $i] : ( r1 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf('196',plain,
( ~ ! [X1: $i] : ( r1 @ X1 )
| ( r1 @ sk__60 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl1548]) ).
thf('197',plain,
( ! [X1: $i] : ( r1 @ X1 )
| ~ ! [X2: $i,X3: $i] :
( ( r1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
| ! [X0: $i] :
( ~ ( p1 @ X0 )
| ~ ( q1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf('198',plain,
( ! [X2: $i,X3: $i] :
( ( r1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
| ! [X0: $i,X1: $i] : ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl1223]) ).
thf(zip_derived_cl197,plain,
( ! [X0: $i,X1: $i] : ( zip_tseitin_4 @ X0 @ X1 )
<= ! [X0: $i,X1: $i] : ( zip_tseitin_4 @ X0 @ X1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl365_201,plain,
( ~ ( zip_tseitin_4 @ sk__60 @ sk__59 )
<= ~ ( zip_tseitin_4 @ sk__60 @ sk__59 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf('199',plain,
( ~ ! [X0: $i,X1: $i] : ( zip_tseitin_4 @ X0 @ X1 )
| ( zip_tseitin_4 @ sk__60 @ sk__59 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl197,zip_derived_cl365]) ).
thf('200',plain,
( ~ ( r1 @ sk__60 )
| ~ ( r1 @ sk__59 )
| ( zip_tseitin_4 @ sk__60 @ sk__59 )
| ~ ! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ( zip_tseitin_4 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1611]) ).
thf('201',plain,
( ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
| ! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ( zip_tseitin_4 @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1224]) ).
thf(zip_derived_cl1581_202,plain,
( ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1224]) ).
thf(zip_derived_cl1_203,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( p1 @ ( f @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1584,plain,
( ! [X0: $i,X1: $i] :
( ~ ( q1 @ X0 )
| ( p1 @ ( f @ X1 ) ) )
<= ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1581,zip_derived_cl1]) ).
thf('202',plain,
( ! [X3: $i] : ( p1 @ ( f @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
| ! [X2: $i] :
~ ( q1 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl1584]) ).
thf(zip_derived_cl1583_204,plain,
( ! [X0: $i] :
( ~ ( q1 @ X0 )
| ~ ( p1 @ X0 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1581,zip_derived_cl0]) ).
thf(zip_derived_cl196_205,plain,
( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
<= ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1589,plain,
( ! [X0: $i] :
~ ( p1 @ ( f @ X0 ) )
<= ( ! [X2: $i] : ( q1 @ ( f @ X2 ) )
& ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl196]) ).
thf(zip_derived_cl1348_206,plain,
( ! [X3: $i] : ( p1 @ ( f @ X3 ) )
<= ! [X3: $i] : ( p1 @ ( f @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1270]) ).
thf('203',plain,
( ~ ! [X3: $i] : ( p1 @ ( f @ X3 ) )
| ~ ! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_0 @ X2 @ X3 )
| ~ ( q1 @ X3 ) )
| ~ ! [X2: $i] : ( q1 @ ( f @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1589,zip_derived_cl1348]) ).
thf(zip_derived_cl3077,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN938+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.C6VX6J3bt5 true
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 19:07:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.18/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.18/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.18/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.41/1.39 % Solved by fo/fo1_av.sh.
% 5.41/1.39 % done 2270 iterations in 0.561s
% 5.41/1.39 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.41/1.39 % SZS output start Refutation
% See solution above
% 5.41/1.40
% 5.41/1.40
% 5.41/1.40 % Terminating...
% 5.41/1.41 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 5.41/1.48 % Runner terminated.
% 5.41/1.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------