TSTP Solution File: SYO065^4.001 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO065^4.001 : 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.texZBkZ0oo true
% Computer : n032.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 05:49:30 EDT 2023
% Result : Theorem 77.82s 10.64s
% Output : Refutation 77.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 111
% Syntax : Number of formulae : 222 ( 34 unt; 60 typ; 0 def)
% Number of atoms : 502 ( 30 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1052 ( 105 ~; 155 |; 26 &; 708 @)
% ( 0 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 157 ( 157 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 42 usr; 2 con; 0-3 aty)
% Number of variables : 280 ( 60 ^; 220 !; 0 ?; 280 :)
% Comments :
%------------------------------------------------------------------------------
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $o ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $i > $i > $o ).
thf(irel_type,type,
irel: $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $i > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $o ).
thf(iimplies_type,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(p1_type,type,
p1: $i > $o ).
thf(iand_type,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $i > $i > $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(iequiv_type,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i ).
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(iand,axiom,
( iand
= ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ) ).
thf(mand,axiom,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ) ).
thf('2',plain,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand]) ).
thf('3',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( iand
= ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ),
inference(simplify_rw_rule,[status(thm)],[iand,'3']) ).
thf('5',plain,
( iand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(iatom,axiom,
( iatom
= ( ^ [P: $i > $o] : P ) ) ).
thf('6',plain,
( iatom
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[iatom]) ).
thf('7',plain,
( iatom
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(con,conjecture,
ivalid @ ( iand @ ( iatom @ p1 ) @ ( iand @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( p1 @ X4 )
& ( p2 @ X4 )
& ( p3 @ X4 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( p1 @ X4 )
& ( p2 @ X4 )
& ( p3 @ X4 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
( ~ ( p1 @ sk__14 )
| ~ ( p2 @ sk__14 )
| ~ ( p3 @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(iequiv,axiom,
( iequiv
= ( ^ [P: $i > $o,Q: $i > $o] : ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) ) ) ) ).
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('8',plain,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('9',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('10',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('11',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('12',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('13',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('14',plain,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'11','13']) ).
thf('15',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf('16',plain,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iimplies,'9','15']) ).
thf('17',plain,
( iimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('18',plain,
( iequiv
= ( ^ [P: $i > $o,Q: $i > $o] : ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iequiv,'17','5','9','15','3','11','13']) ).
thf('19',plain,
( iequiv
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( iand @ ( iimplies @ V_1 @ V_2 ) @ ( iimplies @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(axiom3,axiom,
ivalid @ ( iimplies @ ( iequiv @ ( iatom @ p3 ) @ ( iatom @ p1 ) ) @ ( iand @ ( iatom @ p1 ) @ ( iand @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ! [X16: $i] :
( ( irel @ X4 @ X16 )
=> ( ( p3 @ X16 )
& ( p2 @ X16 )
& ( p1 @ X16 ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( ( ! [X14: $i] :
( ( irel @ X6 @ X14 )
=> ( p3 @ X14 ) )
| ~ ! [X12: $i] :
( ( irel @ X6 @ X12 )
=> ( p1 @ X12 ) ) )
& ( ! [X10: $i] :
( ( irel @ X6 @ X10 )
=> ( p1 @ X10 ) )
| ~ ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( p3 @ X8 ) ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X16: $i] :
( ( zip_tseitin_12 @ X16 )
=> ( ( p1 @ X16 )
& ( p2 @ X16 )
& ( p3 @ X16 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( p3 @ X0 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(axiom2,axiom,
ivalid @ ( iimplies @ ( iequiv @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) @ ( iand @ ( iatom @ p1 ) @ ( iand @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i] :
( ! [X16: $i] :
( ( irel @ X4 @ X16 )
=> ( ( p3 @ X16 )
& ( p2 @ X16 )
& ( p1 @ X16 ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( ( ! [X14: $i] :
( ( irel @ X6 @ X14 )
=> ( p2 @ X14 ) )
| ~ ! [X12: $i] :
( ( irel @ X6 @ X12 )
=> ( p3 @ X12 ) ) )
& ( ! [X10: $i] :
( ( irel @ X6 @ X10 )
=> ( p3 @ X10 ) )
| ~ ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( p2 @ X8 ) ) ) ) ) ) ).
thf(zf_stmt_5,axiom,
! [X16: $i] :
( ( zip_tseitin_6 @ X16 )
=> ( ( p1 @ X16 )
& ( p2 @ X16 )
& ( p3 @ X16 ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( p3 @ X0 )
| ~ ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(axiom1,axiom,
ivalid @ ( iimplies @ ( iequiv @ ( iatom @ p1 ) @ ( iatom @ p2 ) ) @ ( iand @ ( iatom @ p1 ) @ ( iand @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) ) ) ).
thf(zf_stmt_6,axiom,
! [X4: $i] :
( ! [X16: $i] :
( ( irel @ X4 @ X16 )
=> ( ( p3 @ X16 )
& ( p2 @ X16 )
& ( p1 @ X16 ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( ( ! [X14: $i] :
( ( irel @ X6 @ X14 )
=> ( p1 @ X14 ) )
| ~ ! [X12: $i] :
( ( irel @ X6 @ X12 )
=> ( p2 @ X12 ) ) )
& ( ! [X10: $i] :
( ( irel @ X6 @ X10 )
=> ( p2 @ X10 ) )
| ~ ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( p1 @ X8 ) ) ) ) ) ) ).
thf(zf_stmt_7,axiom,
! [X6: $i] :
( ( ~ ! [X12: $i] :
( ( irel @ X6 @ X12 )
=> ( p2 @ X12 ) )
| ! [X14: $i] : ( zip_tseitin_1 @ X14 @ X6 ) )
=> ( zip_tseitin_2 @ X6 ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( zip_tseitin_1 @ ( sk__5 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zf_stmt_8,axiom,
! [X14: $i,X6: $i] :
( ( ( irel @ X6 @ X14 )
=> ( p1 @ X14 ) )
=> ( zip_tseitin_1 @ X14 @ X6 ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( irel @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ( irel @ X0 @ ( sk__5 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).
thf(zf_stmt_9,axiom,
! [X6: $i,X4: $i] :
( ( ( irel @ X4 @ X6 )
=> ( ( zip_tseitin_16 @ X6 )
& ( zip_tseitin_14 @ X6 ) ) )
=> ( zip_tseitin_17 @ X6 @ X4 ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ( irel @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zf_stmt_10,type,
zip_tseitin_17: $i > $i > $o ).
thf(zf_stmt_11,type,
zip_tseitin_16: $i > $o ).
thf(zf_stmt_12,axiom,
! [X6: $i] :
( ( ~ ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( p3 @ X8 ) )
| ! [X10: $i] : ( zip_tseitin_15 @ X10 @ X6 ) )
=> ( zip_tseitin_16 @ X6 ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_15: $i > $i > $o ).
thf(zf_stmt_14,axiom,
! [X10: $i,X6: $i] :
( ( ( irel @ X6 @ X10 )
=> ( p1 @ X10 ) )
=> ( zip_tseitin_15 @ X10 @ X6 ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_14: $i > $o ).
thf(zf_stmt_16,axiom,
! [X6: $i] :
( ( ~ ! [X12: $i] :
( ( irel @ X6 @ X12 )
=> ( p1 @ X12 ) )
| ! [X14: $i] : ( zip_tseitin_13 @ X14 @ X6 ) )
=> ( zip_tseitin_14 @ X6 ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_13: $i > $i > $o ).
thf(zf_stmt_18,axiom,
! [X14: $i,X6: $i] :
( ( ( irel @ X6 @ X14 )
=> ( p3 @ X14 ) )
=> ( zip_tseitin_13 @ X14 @ X6 ) ) ).
thf(zf_stmt_19,type,
zip_tseitin_12: $i > $o ).
thf(zf_stmt_20,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_17 @ X6 @ X4 )
| ! [X16: $i] :
( ( irel @ X4 @ X16 )
=> ( zip_tseitin_12 @ X16 ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_17 @ ( sk__13 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ( zip_tseitin_12 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ( irel @ X0 @ ( sk__13 @ X0 ) )
| ( zip_tseitin_12 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl362,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ( zip_tseitin_12 @ ( sk__5 @ X0 ) )
| ( irel @ X0 @ ( sk__13 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl121]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl4452,plain,
! [X0: $i] :
( ( irel @ X0 @ ( sk__13 @ X0 ) )
| ( zip_tseitin_2 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl30]) ).
thf(zip_derived_cl8_001,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( zip_tseitin_1 @ ( sk__5 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( p1 @ ( sk__5 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl13384,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ( irel @ X0 @ ( sk__13 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4452,zip_derived_cl54]) ).
thf(zf_stmt_21,axiom,
! [X6: $i] :
( ( ~ ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( p2 @ X8 ) )
| ! [X10: $i] : ( zip_tseitin_9 @ X10 @ X6 ) )
=> ( zip_tseitin_10 @ X6 ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_10 @ X0 )
| ( p2 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
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_cl121_002,plain,
! [X0: $i,X1: $i] :
( ( irel @ X0 @ ( sk__13 @ X0 ) )
| ( zip_tseitin_12 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl363,plain,
! [X0: $i] :
( ( zip_tseitin_12 @ X0 )
| ( irel @ X0 @ ( sk__13 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl121]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl30_004,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zf_stmt_22,axiom,
! [X16: $i] :
( ( zip_tseitin_0 @ X16 )
=> ( ( p1 @ X16 )
& ( p2 @ X16 )
& ( p3 @ X16 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( p3 @ X0 )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf(zf_stmt_23,axiom,
! [X6: $i] :
( ( ~ ! [X12: $i] :
( ( irel @ X6 @ X12 )
=> ( p3 @ X12 ) )
| ! [X14: $i] : ( zip_tseitin_7 @ X14 @ X6 ) )
=> ( zip_tseitin_8 @ X6 ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ~ ( zip_tseitin_7 @ ( sk__8 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zf_stmt_24,axiom,
! [X14: $i,X6: $i] :
( ( ( irel @ X6 @ X14 )
=> ( p2 @ X14 ) )
=> ( zip_tseitin_7 @ X14 @ X6 ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ( irel @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ( irel @ X0 @ ( sk__8 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl20]) ).
thf(zip_derived_cl121_005,plain,
! [X0: $i,X1: $i] :
( ( irel @ X0 @ ( sk__13 @ X0 ) )
| ( zip_tseitin_12 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl358,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ( zip_tseitin_12 @ ( sk__8 @ X0 ) )
| ( irel @ X0 @ ( sk__13 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl121]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( p2 @ X0 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl4127,plain,
! [X0: $i] :
( ( irel @ X0 @ ( sk__13 @ X0 ) )
| ( zip_tseitin_8 @ X0 )
| ( p2 @ ( sk__8 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl31]) ).
thf(zip_derived_cl22_006,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ~ ( zip_tseitin_7 @ ( sk__8 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ~ ( p2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ~ ( p2 @ ( sk__8 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl19]) ).
thf(zip_derived_cl11833,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ( irel @ X0 @ ( sk__13 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4127,zip_derived_cl82]) ).
thf(zf_stmt_25,axiom,
! [X6: $i,X4: $i] :
( ( ( irel @ X4 @ X6 )
=> ( ( zip_tseitin_4 @ X6 )
& ( zip_tseitin_2 @ X6 ) ) )
=> ( zip_tseitin_5 @ X6 @ X4 ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zf_stmt_26,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_27,type,
zip_tseitin_4: $i > $o ).
thf(zf_stmt_28,axiom,
! [X6: $i] :
( ( ~ ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( p1 @ X8 ) )
| ! [X10: $i] : ( zip_tseitin_3 @ X10 @ X6 ) )
=> ( zip_tseitin_4 @ X6 ) ) ).
thf(zf_stmt_29,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_30,axiom,
! [X10: $i,X6: $i] :
( ( ( irel @ X6 @ X10 )
=> ( p2 @ X10 ) )
=> ( zip_tseitin_3 @ X10 @ X6 ) ) ).
thf(zf_stmt_31,type,
zip_tseitin_2: $i > $o ).
thf(zf_stmt_32,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_33,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_34,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_5 @ X6 @ X4 )
| ! [X16: $i] :
( ( irel @ X4 @ X16 )
=> ( zip_tseitin_0 @ X16 ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_5 @ ( sk__7 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_2 @ ( sk__7 @ X0 ) )
| ~ ( zip_tseitin_4 @ ( sk__7 @ X0 ) )
| ( zip_tseitin_0 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl15]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_14 @ X0 )
| ( p1 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_5 @ X0 @ X1 )
| ( irel @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl15_007,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_5 @ ( sk__7 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ( zip_tseitin_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i] :
( ( irel @ X0 @ ( sk__7 @ X0 ) )
| ( zip_tseitin_0 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_8 @ X0 )
| ( p3 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ~ ( zip_tseitin_3 @ ( sk__6 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ~ ( p2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ~ ( p2 @ ( sk__6 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl9]) ).
thf(zip_derived_cl12_008,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ~ ( zip_tseitin_3 @ ( sk__6 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ( irel @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ( irel @ X0 @ ( sk__6 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl31_009,plain,
! [X0: $i] :
( ( p2 @ X0 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( zip_tseitin_14 @ X0 )
| ~ ( zip_tseitin_13 @ ( sk__11 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_13 @ X0 @ X1 )
| ~ ( p3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( zip_tseitin_14 @ X0 )
| ~ ( p3 @ ( sk__11 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl33]) ).
thf(zip_derived_cl36_010,plain,
! [X0: $i] :
( ( zip_tseitin_14 @ X0 )
| ~ ( zip_tseitin_13 @ ( sk__11 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_13 @ X0 @ X1 )
| ( irel @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ( zip_tseitin_14 @ X0 )
| ( irel @ X0 @ ( sk__11 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl34]) ).
thf(zip_derived_cl53_011,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ( irel @ X0 @ ( sk__5 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).
thf(zf_stmt_35,axiom,
! [X6: $i,X4: $i] :
( ( ( irel @ X4 @ X6 )
=> ( ( zip_tseitin_10 @ X6 )
& ( zip_tseitin_8 @ X6 ) ) )
=> ( zip_tseitin_11 @ X6 @ X4 ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_11 @ X0 @ X1 )
| ( irel @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf(zf_stmt_36,type,
zip_tseitin_11: $i > $i > $o ).
thf(zf_stmt_37,type,
zip_tseitin_10: $i > $o ).
thf(zf_stmt_38,type,
zip_tseitin_9: $i > $i > $o ).
thf(zf_stmt_39,axiom,
! [X10: $i,X6: $i] :
( ( ( irel @ X6 @ X10 )
=> ( p3 @ X10 ) )
=> ( zip_tseitin_9 @ X10 @ X6 ) ) ).
thf(zf_stmt_40,type,
zip_tseitin_8: $i > $o ).
thf(zf_stmt_41,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_42,type,
zip_tseitin_6: $i > $o ).
thf(zf_stmt_43,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_11 @ X6 @ X4 )
| ! [X16: $i] :
( ( irel @ X4 @ X16 )
=> ( zip_tseitin_6 @ X16 ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_11 @ ( sk__10 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ( zip_tseitin_6 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i] :
( ( irel @ X0 @ ( sk__10 @ X0 ) )
| ( zip_tseitin_6 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl29]) ).
thf(zip_derived_cl284,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ( zip_tseitin_6 @ ( sk__5 @ X0 ) )
| ( irel @ X0 @ ( sk__10 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl117]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2126,plain,
! [X0: $i] :
( ( irel @ X0 @ ( sk__10 @ X0 ) )
| ( zip_tseitin_2 @ X0 )
| ( p1 @ ( sk__5 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl16]) ).
thf(zip_derived_cl54_012,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( p1 @ ( sk__5 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl8893,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ( irel @ X0 @ ( sk__10 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2126,zip_derived_cl54]) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__9 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ~ ( p3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 )
| ~ ( p3 @ ( sk__9 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl23]) ).
thf(zip_derived_cl26_013,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__9 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ( irel @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 )
| ( irel @ X0 @ ( sk__9 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl24]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_16 @ X0 )
| ( p3 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl63_014,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ( irel @ X0 @ ( sk__6 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl121_015,plain,
! [X0: $i,X1: $i] :
( ( irel @ X0 @ ( sk__13 @ X0 ) )
| ( zip_tseitin_12 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl361,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ( zip_tseitin_12 @ ( sk__6 @ X0 ) )
| ( irel @ X0 @ ( sk__13 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl121]) ).
thf(zip_derived_cl31_016,plain,
! [X0: $i] :
( ( p2 @ X0 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl4322,plain,
! [X0: $i] :
( ( irel @ X0 @ ( sk__13 @ X0 ) )
| ( zip_tseitin_4 @ X0 )
| ( p2 @ ( sk__6 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl31]) ).
thf(zip_derived_cl64_017,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ~ ( p2 @ ( sk__6 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl9]) ).
thf(zip_derived_cl12858,plain,
! [X0: $i] :
( ( zip_tseitin_4 @ X0 )
| ( irel @ X0 @ ( sk__13 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4322,zip_derived_cl64]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ~ ( zip_tseitin_16 @ X0 )
| ~ ( zip_tseitin_14 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl43_018,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_17 @ ( sk__13 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ( zip_tseitin_12 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_14 @ ( sk__13 @ X0 ) )
| ~ ( zip_tseitin_16 @ ( sk__13 @ X0 ) )
| ( zip_tseitin_12 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl43]) ).
thf(zip_derived_cl54_019,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ~ ( p1 @ ( sk__5 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl53_020,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ X0 )
| ( irel @ X0 @ ( sk__5 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).
thf(zip_derived_cl16_021,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl82_022,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ~ ( p2 @ ( sk__8 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl19]) ).
thf(zip_derived_cl81_023,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ( irel @ X0 @ ( sk__8 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl20]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 )
| ( p2 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_11 @ X0 @ X1 )
| ~ ( zip_tseitin_10 @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf(zip_derived_cl29_024,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_11 @ ( sk__10 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ( zip_tseitin_6 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_8 @ ( sk__10 @ X0 ) )
| ~ ( zip_tseitin_10 @ ( sk__10 @ X0 ) )
| ( zip_tseitin_6 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl29]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( zip_tseitin_16 @ X0 )
| ~ ( zip_tseitin_15 @ ( sk__12 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ( zip_tseitin_16 @ X0 )
| ~ ( p1 @ ( sk__12 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl37]) ).
thf(zip_derived_cl40_025,plain,
! [X0: $i] :
( ( zip_tseitin_16 @ X0 )
| ~ ( zip_tseitin_15 @ ( sk__12 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ( irel @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] :
( ( zip_tseitin_16 @ X0 )
| ( irel @ X0 @ ( sk__12 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl38]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ X0 )
| ( p1 @ X1 )
| ~ ( irel @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(trans_axiom,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ~ ( irel @ X1 @ X2 )
| ( irel @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[trans_axiom]) ).
thf(zip_derived_cl40701,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl44,zip_derived_cl32,zip_derived_cl18,zip_derived_cl13384,zip_derived_cl25,zip_derived_cl363,zip_derived_cl0,zip_derived_cl30,zip_derived_cl4,zip_derived_cl2,zip_derived_cl11833,zip_derived_cl78,zip_derived_cl35,zip_derived_cl77,zip_derived_cl21,zip_derived_cl64,zip_derived_cl63,zip_derived_cl31,zip_derived_cl102,zip_derived_cl101,zip_derived_cl8893,zip_derived_cl94,zip_derived_cl93,zip_derived_cl39,zip_derived_cl12858,zip_derived_cl122,zip_derived_cl54,zip_derived_cl53,zip_derived_cl16,zip_derived_cl82,zip_derived_cl81,zip_derived_cl7,zip_derived_cl118,zip_derived_cl110,zip_derived_cl109,zip_derived_cl11,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO065^4.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.texZBkZ0oo true
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Fri Aug 25 23:49:58 EDT 2023
% 0.11/0.29 % CPUTime :
% 0.11/0.29 % Running portfolio for 300 s
% 0.11/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30 % Number of cores: 8
% 0.11/0.30 % Python version: Python 3.6.8
% 0.11/0.30 % Running in HO mode
% 0.15/0.55 % Total configuration time : 828
% 0.15/0.55 % Estimated wc time : 1656
% 0.15/0.55 % Estimated cpu time (8 cpus) : 207.0
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.15/0.59 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.15/0.60 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.15/0.62 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.15/0.63 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.15/0.64 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.15/0.68 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 77.82/10.64 % Solved by lams/40_c_ic.sh.
% 77.82/10.64 % done 3040 iterations in 10.005s
% 77.82/10.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 77.82/10.64 % SZS output start Refutation
% See solution above
% 77.82/10.64
% 77.82/10.64
% 77.82/10.64 % Terminating...
% 77.82/10.74 % Runner terminated.
% 77.82/10.74 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------