TSTP Solution File: SYO068^4.020 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO068^4.020 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DZG6uWkWql true
% Computer : n024.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 05:49:33 EDT 2023
% Result : Theorem 0.60s 0.98s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 209
% Syntax : Number of formulae : 380 ( 108 unt; 110 typ; 0 def)
% Number of atoms : 873 ( 21 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1944 ( 245 ~; 243 |; 0 &;1293 @)
% ( 0 <=>; 163 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 199 ( 199 >; 0 *; 0 +; 0 <<)
% Number of symbols : 92 ( 90 usr; 2 con; 0-3 aty)
% Number of variables : 590 ( 39 ^; 551 !; 0 ?; 590 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $i > $o ).
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(p10_type,type,
p10: $i > $o ).
thf(sk__22_type,type,
sk__22: $i > $i ).
thf(p2_type,type,
p2: $i > $o ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(p1_type,type,
p1: $i > $o ).
thf(sk__27_type,type,
sk__27: $i > $i ).
thf(irel_type,type,
irel: $i > $i > $o ).
thf(sk__37_type,type,
sk__37: $i > $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__30_type,type,
sk__30: $i > $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(p18_type,type,
p18: $i > $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $i > $i > $o ).
thf(sk__28_type,type,
sk__28: $i > $i ).
thf(p8_type,type,
p8: $i > $o ).
thf(sk__34_type,type,
sk__34: $i > $i ).
thf(sk__43_type,type,
sk__43: $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(sk__18_type,type,
sk__18: $i > $i ).
thf(sk__42_type,type,
sk__42: $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(sk__35_type,type,
sk__35: $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(sk__24_type,type,
sk__24: $i > $i ).
thf(p7_type,type,
p7: $i > $o ).
thf(iimplies_type,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(p0_type,type,
p0: $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(p14_type,type,
p14: $i > $o ).
thf(sk__29_type,type,
sk__29: $i > $i ).
thf(p16_type,type,
p16: $i > $o ).
thf(sk__32_type,type,
sk__32: $i > $i ).
thf(p13_type,type,
p13: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $o ).
thf(sk__26_type,type,
sk__26: $i > $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $i > $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(sk__20_type,type,
sk__20: $i > $i ).
thf(sk__17_type,type,
sk__17: $i > $i ).
thf(sk__38_type,type,
sk__38: $i > $i ).
thf(sk__31_type,type,
sk__31: $i > $i ).
thf(p17_type,type,
p17: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(p20_type,type,
p20: $i > $o ).
thf(sk__33_type,type,
sk__33: $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(p9_type,type,
p9: $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $o ).
thf(sk__45_type,type,
sk__45: $i ).
thf(p19_type,type,
p19: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__25_type,type,
sk__25: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__40_type,type,
sk__40: $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $o ).
thf(sk__44_type,type,
sk__44: $i > $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $i > $i > $o ).
thf(sk__36_type,type,
sk__36: $i > $i ).
thf(sk__19_type,type,
sk__19: $i > $i ).
thf(sk__39_type,type,
sk__39: $i > $i ).
thf(sk__41_type,type,
sk__41: $i > $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i > $i ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i > $i ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $i > $i > $o ).
thf(ivalid,axiom,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[ivalid]) ).
thf('1',plain,
( ivalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(iatom,axiom,
( iatom
= ( ^ [P: $i > $o] : P ) ) ).
thf('2',plain,
( iatom
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[iatom]) ).
thf('3',plain,
( iatom
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(con,conjecture,
ivalid @ ( iatom @ p0 ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] : ( p0 @ X4 ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] : ( p0 @ X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
~ ( p0 @ sk__45 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(iimplies,axiom,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('4',plain,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('5',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( irel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf('12',plain,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iimplies,'5','11']) ).
thf('13',plain,
( iimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(axiom2,axiom,
ivalid @ ( iimplies @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ p0 ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p0 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p1 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p1 @ X6 ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p1 @ X10 ) )
=> ( zip_tseitin_0 @ X10 @ X8 ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_0 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_0 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p0 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ ( sk__5 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ ( sk__6 @ X1 ) @ X1 )
| ( p0 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(axiom3,axiom,
ivalid @ ( iimplies @ ( iatom @ p2 ) @ ( iimplies @ ( iatom @ p2 ) @ ( iatom @ p1 ) ) ) ).
thf(zf_stmt_6,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p1 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p2 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p2 @ X6 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p2 @ X10 ) )
=> ( zip_tseitin_1 @ X10 @ X8 ) ) ).
thf(zf_stmt_9,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_1 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_1 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p1 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ ( sk__7 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ ( sk__8 @ X1 ) @ X1 )
| ( p1 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( p2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(axiom4,axiom,
ivalid @ ( iimplies @ ( iatom @ p3 ) @ ( iimplies @ ( iatom @ p3 ) @ ( iatom @ p2 ) ) ) ).
thf(zf_stmt_10,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p2 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p3 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p3 @ X6 ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p3 @ X10 ) )
=> ( zip_tseitin_2 @ X10 @ X8 ) ) ).
thf(zf_stmt_13,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_2 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_2 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p2 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_2 @ ( sk__9 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ ( sk__10 @ X1 ) @ X1 )
| ( p2 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( p3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(axiom5,axiom,
ivalid @ ( iimplies @ ( iatom @ p4 ) @ ( iimplies @ ( iatom @ p4 ) @ ( iatom @ p3 ) ) ) ).
thf(zf_stmt_14,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p3 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p4 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p4 @ X6 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_16,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p4 @ X10 ) )
=> ( zip_tseitin_3 @ X10 @ X8 ) ) ).
thf(zf_stmt_17,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_3 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_3 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p3 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_3 @ ( sk__11 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_3 @ ( sk__12 @ X1 ) @ X1 )
| ( p3 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ~ ( p4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(axiom6,axiom,
ivalid @ ( iimplies @ ( iatom @ p5 ) @ ( iimplies @ ( iatom @ p5 ) @ ( iatom @ p4 ) ) ) ).
thf(zf_stmt_18,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p4 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p5 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p5 @ X6 ) ) ) ).
thf(zf_stmt_19,type,
zip_tseitin_4: $i > $i > $o ).
thf(zf_stmt_20,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p5 @ X10 ) )
=> ( zip_tseitin_4 @ X10 @ X8 ) ) ).
thf(zf_stmt_21,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_4 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_4 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p4 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_4 @ ( sk__13 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ ( sk__14 @ X1 ) @ X1 )
| ( p4 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ X0 @ X1 )
| ~ ( p5 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(axiom7,axiom,
ivalid @ ( iimplies @ ( iatom @ p6 ) @ ( iimplies @ ( iatom @ p6 ) @ ( iatom @ p5 ) ) ) ).
thf(zf_stmt_22,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p5 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p6 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p6 @ X6 ) ) ) ).
thf(zf_stmt_23,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_24,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p6 @ X10 ) )
=> ( zip_tseitin_5 @ X10 @ X8 ) ) ).
thf(zf_stmt_25,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_5 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_5 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p5 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_5 @ ( sk__15 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_5 @ ( sk__16 @ X1 ) @ X1 )
| ( p5 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ~ ( p6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf(axiom8,axiom,
ivalid @ ( iimplies @ ( iatom @ p7 ) @ ( iimplies @ ( iatom @ p7 ) @ ( iatom @ p6 ) ) ) ).
thf(zf_stmt_26,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p6 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p7 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p7 @ X6 ) ) ) ).
thf(zf_stmt_27,type,
zip_tseitin_6: $i > $i > $o ).
thf(zf_stmt_28,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p7 @ X10 ) )
=> ( zip_tseitin_6 @ X10 @ X8 ) ) ).
thf(zf_stmt_29,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_6 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_6 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p6 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_6 @ ( sk__17 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_6 @ ( sk__18 @ X1 ) @ X1 )
| ( p6 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_6 @ X0 @ X1 )
| ~ ( p7 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(axiom9,axiom,
ivalid @ ( iimplies @ ( iatom @ p8 ) @ ( iimplies @ ( iatom @ p8 ) @ ( iatom @ p7 ) ) ) ).
thf(zf_stmt_30,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p7 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p8 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p8 @ X6 ) ) ) ).
thf(zf_stmt_31,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_32,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p8 @ X10 ) )
=> ( zip_tseitin_7 @ X10 @ X8 ) ) ).
thf(zf_stmt_33,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_7 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_7 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p7 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_7 @ ( sk__19 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ ( sk__20 @ X1 ) @ X1 )
| ( p7 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ~ ( p8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(axiom10,axiom,
ivalid @ ( iimplies @ ( iatom @ p9 ) @ ( iimplies @ ( iatom @ p9 ) @ ( iatom @ p8 ) ) ) ).
thf(zf_stmt_34,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p8 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p9 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p9 @ X6 ) ) ) ).
thf(zf_stmt_35,type,
zip_tseitin_8: $i > $i > $o ).
thf(zf_stmt_36,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p9 @ X10 ) )
=> ( zip_tseitin_8 @ X10 @ X8 ) ) ).
thf(zf_stmt_37,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_8 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_8 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p8 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_8 @ ( sk__21 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_8 @ ( sk__22 @ X1 ) @ X1 )
| ( p8 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_8 @ X0 @ X1 )
| ~ ( p9 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf(axiom11,axiom,
ivalid @ ( iimplies @ ( iatom @ p10 ) @ ( iimplies @ ( iatom @ p10 ) @ ( iatom @ p9 ) ) ) ).
thf(zf_stmt_38,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p9 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p10 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p10 @ X6 ) ) ) ).
thf(zf_stmt_39,type,
zip_tseitin_9: $i > $i > $o ).
thf(zf_stmt_40,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p10 @ X10 ) )
=> ( zip_tseitin_9 @ X10 @ X8 ) ) ).
thf(zf_stmt_41,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_9 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_9 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p9 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_9 @ ( sk__23 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_9 @ ( sk__24 @ X1 ) @ X1 )
| ( p9 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ~ ( p10 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_40]) ).
thf(axiom12,axiom,
ivalid @ ( iimplies @ ( iatom @ p11 ) @ ( iimplies @ ( iatom @ p11 ) @ ( iatom @ p10 ) ) ) ).
thf(zf_stmt_42,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p10 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p11 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p11 @ X6 ) ) ) ).
thf(zf_stmt_43,type,
zip_tseitin_10: $i > $i > $o ).
thf(zf_stmt_44,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p11 @ X10 ) )
=> ( zip_tseitin_10 @ X10 @ X8 ) ) ).
thf(zf_stmt_45,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_10 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_10 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p10 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_10 @ ( sk__25 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_10 @ ( sk__26 @ X1 ) @ X1 )
| ( p10 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_45]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_10 @ X0 @ X1 )
| ~ ( p11 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf(axiom13,axiom,
ivalid @ ( iimplies @ ( iatom @ p12 ) @ ( iimplies @ ( iatom @ p12 ) @ ( iatom @ p11 ) ) ) ).
thf(zf_stmt_46,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p11 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p12 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p12 @ X6 ) ) ) ).
thf(zf_stmt_47,type,
zip_tseitin_11: $i > $i > $o ).
thf(zf_stmt_48,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p12 @ X10 ) )
=> ( zip_tseitin_11 @ X10 @ X8 ) ) ).
thf(zf_stmt_49,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_11 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_11 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p11 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_11 @ ( sk__27 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_11 @ ( sk__28 @ X1 ) @ X1 )
| ( p11 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_49]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_11 @ X0 @ X1 )
| ~ ( p12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf(axiom14,axiom,
ivalid @ ( iimplies @ ( iatom @ p13 ) @ ( iimplies @ ( iatom @ p13 ) @ ( iatom @ p12 ) ) ) ).
thf(zf_stmt_50,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p12 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p13 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p13 @ X6 ) ) ) ).
thf(zf_stmt_51,type,
zip_tseitin_12: $i > $i > $o ).
thf(zf_stmt_52,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p13 @ X10 ) )
=> ( zip_tseitin_12 @ X10 @ X8 ) ) ).
thf(zf_stmt_53,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_12 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_12 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p12 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_12 @ ( sk__29 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_12 @ ( sk__30 @ X1 ) @ X1 )
| ( p12 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_12 @ X0 @ X1 )
| ~ ( p13 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_52]) ).
thf(axiom15,axiom,
ivalid @ ( iimplies @ ( iatom @ p14 ) @ ( iimplies @ ( iatom @ p14 ) @ ( iatom @ p13 ) ) ) ).
thf(zf_stmt_54,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p13 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p14 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p14 @ X6 ) ) ) ).
thf(zf_stmt_55,type,
zip_tseitin_13: $i > $i > $o ).
thf(zf_stmt_56,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p14 @ X10 ) )
=> ( zip_tseitin_13 @ X10 @ X8 ) ) ).
thf(zf_stmt_57,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_13 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_13 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p13 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_13 @ ( sk__31 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_13 @ ( sk__32 @ X1 ) @ X1 )
| ( p13 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_13 @ X0 @ X1 )
| ~ ( p14 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_56]) ).
thf(axiom16,axiom,
ivalid @ ( iimplies @ ( iatom @ p15 ) @ ( iimplies @ ( iatom @ p15 ) @ ( iatom @ p14 ) ) ) ).
thf(zf_stmt_58,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p14 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p15 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p15 @ X6 ) ) ) ).
thf(zf_stmt_59,type,
zip_tseitin_14: $i > $i > $o ).
thf(zf_stmt_60,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p15 @ X10 ) )
=> ( zip_tseitin_14 @ X10 @ X8 ) ) ).
thf(zf_stmt_61,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_14 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_14 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p14 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_14 @ ( sk__33 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_14 @ ( sk__34 @ X1 ) @ X1 )
| ( p14 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 @ X1 )
| ~ ( p15 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_60]) ).
thf(axiom17,axiom,
ivalid @ ( iimplies @ ( iatom @ p16 ) @ ( iimplies @ ( iatom @ p16 ) @ ( iatom @ p15 ) ) ) ).
thf(zf_stmt_62,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p15 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p16 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p16 @ X6 ) ) ) ).
thf(zf_stmt_63,type,
zip_tseitin_15: $i > $i > $o ).
thf(zf_stmt_64,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p16 @ X10 ) )
=> ( zip_tseitin_15 @ X10 @ X8 ) ) ).
thf(zf_stmt_65,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_15 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_15 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p15 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_15 @ ( sk__35 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_15 @ ( sk__36 @ X1 ) @ X1 )
| ( p15 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ~ ( p16 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_64]) ).
thf(axiom18,axiom,
ivalid @ ( iimplies @ ( iatom @ p17 ) @ ( iimplies @ ( iatom @ p17 ) @ ( iatom @ p16 ) ) ) ).
thf(zf_stmt_66,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p16 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p17 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p17 @ X6 ) ) ) ).
thf(zf_stmt_67,type,
zip_tseitin_16: $i > $i > $o ).
thf(zf_stmt_68,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p17 @ X10 ) )
=> ( zip_tseitin_16 @ X10 @ X8 ) ) ).
thf(zf_stmt_69,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_16 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_16 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p16 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_16 @ ( sk__37 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_16 @ ( sk__38 @ X1 ) @ X1 )
| ( p16 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_69]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_16 @ X0 @ X1 )
| ~ ( p17 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_68]) ).
thf(axiom19,axiom,
ivalid @ ( iimplies @ ( iatom @ p18 ) @ ( iimplies @ ( iatom @ p18 ) @ ( iatom @ p17 ) ) ) ).
thf(zf_stmt_70,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p17 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p18 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p18 @ X6 ) ) ) ).
thf(zf_stmt_71,type,
zip_tseitin_17: $i > $i > $o ).
thf(zf_stmt_72,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p18 @ X10 ) )
=> ( zip_tseitin_17 @ X10 @ X8 ) ) ).
thf(zf_stmt_73,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_17 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_17 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p17 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_17 @ ( sk__39 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_17 @ ( sk__40 @ X1 ) @ X1 )
| ( p17 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_73]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ~ ( p18 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_72]) ).
thf(axiom20,axiom,
ivalid @ ( iimplies @ ( iatom @ p19 ) @ ( iimplies @ ( iatom @ p19 ) @ ( iatom @ p18 ) ) ) ).
thf(zf_stmt_74,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p18 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p19 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p19 @ X6 ) ) ) ).
thf(zf_stmt_75,type,
zip_tseitin_18: $i > $i > $o ).
thf(zf_stmt_76,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p19 @ X10 ) )
=> ( zip_tseitin_18 @ X10 @ X8 ) ) ).
thf(zf_stmt_77,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_18 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_18 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p18 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_18 @ ( sk__41 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_18 @ ( sk__42 @ X1 ) @ X1 )
| ( p18 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_77]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_18 @ X0 @ X1 )
| ~ ( p19 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_76]) ).
thf(axiom21,axiom,
ivalid @ ( iimplies @ ( iatom @ p20 ) @ ( iimplies @ ( iatom @ p20 ) @ ( iatom @ p19 ) ) ) ).
thf(zf_stmt_78,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p19 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p20 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p20 @ X6 ) ) ) ).
thf(zf_stmt_79,type,
zip_tseitin_19: $i > $i > $o ).
thf(zf_stmt_80,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p20 @ X10 ) )
=> ( zip_tseitin_19 @ X10 @ X8 ) ) ).
thf(zf_stmt_81,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_19 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_19 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p19 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_19 @ ( sk__43 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_19 @ ( sk__44 @ X1 ) @ X1 )
| ( p19 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_81]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_19 @ X0 @ X1 )
| ~ ( p20 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_80]) ).
thf(axiom1,axiom,
ivalid @ ( iatom @ p20 ) ).
thf(zf_stmt_82,axiom,
! [X4: $i] : ( p20 @ X4 ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] : ( p20 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_82]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_19 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl2]) ).
thf(zip_derived_cl67_001,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_19 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl2]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p19 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl67,zip_derived_cl67]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p19 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl90]) ).
thf(refl_axiom,axiom,
! [X: $i] : ( irel @ X @ X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl93,plain,
! [X0: $i] : ( p19 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl0]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_18 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl93]) ).
thf(zip_derived_cl94_002,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_18 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl93]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p18 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl94,zip_derived_cl94]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p18 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl98,plain,
! [X0: $i] : ( p18 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl0]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_17 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl98]) ).
thf(zip_derived_cl99_004,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_17 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl98]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p17 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl99,zip_derived_cl99]) ).
thf(zip_derived_cl103,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p17 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] : ( p17 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl0]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_16 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl104]) ).
thf(zip_derived_cl105_006,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_16 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl104]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p16 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl105,zip_derived_cl105]) ).
thf(zip_derived_cl108,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p16 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] : ( p16 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl0]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_15 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl109]) ).
thf(zip_derived_cl110_008,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_15 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl109]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p15 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl110,zip_derived_cl110]) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p15 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl114,plain,
! [X0: $i] : ( p15 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl0]) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_14 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl114]) ).
thf(zip_derived_cl115_010,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_14 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl114]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p14 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl115,zip_derived_cl115]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p14 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl119,plain,
! [X0: $i] : ( p14 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl0]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_13 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl119]) ).
thf(zip_derived_cl121_012,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_13 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl119]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p13 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl121,zip_derived_cl121]) ).
thf(zip_derived_cl124,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p13 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl125,plain,
! [X0: $i] : ( p13 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl0]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_12 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl125]) ).
thf(zip_derived_cl126_014,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_12 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl125]) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p12 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl126,zip_derived_cl126]) ).
thf(zip_derived_cl129,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p12 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl130,plain,
! [X0: $i] : ( p12 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl0]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_11 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl130]) ).
thf(zip_derived_cl131_016,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_11 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl130]) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p11 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl131,zip_derived_cl131]) ).
thf(zip_derived_cl134,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p11 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl0_017,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl135,plain,
! [X0: $i] : ( p11 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl0]) ).
thf(zip_derived_cl136,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_10 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl135]) ).
thf(zip_derived_cl136_018,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_10 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl135]) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p10 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl136,zip_derived_cl136]) ).
thf(zip_derived_cl140,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p10 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl0_019,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl141,plain,
! [X0: $i] : ( p10 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl0]) ).
thf(zip_derived_cl142,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_9 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl141]) ).
thf(zip_derived_cl142_020,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_9 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl141]) ).
thf(zip_derived_cl143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p9 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl142,zip_derived_cl142]) ).
thf(zip_derived_cl145,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p9 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl146,plain,
! [X0: $i] : ( p9 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl0]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_8 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl146]) ).
thf(zip_derived_cl147_022,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_8 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl146]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p8 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl147,zip_derived_cl147]) ).
thf(zip_derived_cl150,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p8 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl0_023,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] : ( p8 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl0]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_7 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl151]) ).
thf(zip_derived_cl152_024,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_7 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl151]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p7 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl152,zip_derived_cl152]) ).
thf(zip_derived_cl156,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p7 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl0_025,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] : ( p7 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl0]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_6 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl157]) ).
thf(zip_derived_cl158_026,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_6 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl157]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p6 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl158,zip_derived_cl158]) ).
thf(zip_derived_cl161,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p6 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl159]) ).
thf(zip_derived_cl0_027,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl162,plain,
! [X0: $i] : ( p6 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl0]) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_5 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl162]) ).
thf(zip_derived_cl163_028,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_5 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl162]) ).
thf(zip_derived_cl164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p5 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl163,zip_derived_cl163]) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p5 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl164]) ).
thf(zip_derived_cl0_029,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl167,plain,
! [X0: $i] : ( p5 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl0]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_4 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl167]) ).
thf(zip_derived_cl168_030,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_4 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl167]) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p4 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl168,zip_derived_cl168]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p4 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl0_031,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl173,plain,
! [X0: $i] : ( p4 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl0]) ).
thf(zip_derived_cl176,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_3 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl173]) ).
thf(zip_derived_cl176_032,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_3 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl173]) ).
thf(zip_derived_cl177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p3 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl176,zip_derived_cl176]) ).
thf(zip_derived_cl180,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p3 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl0_033,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl181,plain,
! [X0: $i] : ( p3 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl0]) ).
thf(zip_derived_cl182,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_2 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl181]) ).
thf(zip_derived_cl182_034,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_2 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl181]) ).
thf(zip_derived_cl183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p2 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl182,zip_derived_cl182]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p2 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl183]) ).
thf(zip_derived_cl0_035,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] : ( p2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl0]) ).
thf(zip_derived_cl188,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_1 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl187]) ).
thf(zip_derived_cl188_036,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_1 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl187]) ).
thf(zip_derived_cl189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p1 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl188,zip_derived_cl188]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl189]) ).
thf(zip_derived_cl0_037,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] : ( p1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl0]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_0 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl193]) ).
thf(zip_derived_cl194_038,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_0 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl193]) ).
thf(zip_derived_cl198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p0 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl194,zip_derived_cl194]) ).
thf(zip_derived_cl201,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl198]) ).
thf(zip_derived_cl0_039,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl202,plain,
! [X0: $i] : ( p0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl0]) ).
thf(zip_derived_cl203,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO068^4.020 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DZG6uWkWql true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 01:25:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.43/0.66 % Total configuration time : 828
% 0.43/0.66 % Estimated wc time : 1656
% 0.43/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.54/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.54/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.54/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.58/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 0.58/0.85 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
% 0.58/0.86 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
% 0.59/0.90 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
% 0.60/0.98 % Solved by lams/15_lifting1.sh.
% 0.60/0.98 % done 129 iterations in 0.092s
% 0.60/0.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.98 % SZS output start Refutation
% See solution above
% 0.60/0.99
% 0.60/0.99
% 0.60/0.99 % Terminating...
% 0.60/1.06 % Runner terminated.
% 0.60/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------