TSTP Solution File: ALG074+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG074+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bz8PYIMORu true
% Computer : n007.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 : Wed Aug 30 17:10:21 EDT 2023
% Result : Theorem 45.10s 7.13s
% Output : Refutation 45.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 13
% Syntax : Number of formulae : 279 ( 74 unt; 8 typ; 0 def)
% Number of atoms : 720 ( 167 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 2796 ( 382 ~; 411 |; 16 &;1965 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 278 ( 0 ^; 274 !; 4 ?; 278 :)
% Comments :
%------------------------------------------------------------------------------
thf(sorti1_type,type,
sorti1: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sorti2_type,type,
sorti2: $i > $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(h_type,type,
h: $i > $i ).
thf(j_type,type,
j: $i > $i ).
thf(ax3,axiom,
? [U: $i] :
( ? [V: $i] :
( ( ( op1 @ ( op1 @ U @ V ) @ U )
!= V )
& ( ( op1 @ ( op1 @ U @ V ) @ V )
= U )
& ( ( op1 @ V @ U )
!= ( op1 @ U @ V ) )
& ( sorti1 @ V ) )
& ( sorti1 @ U ) ) ).
thf(zip_derived_cl4,plain,
( ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk__1 )
= sk_ ),
inference(cnf,[status(esa)],[ax3]) ).
thf(co1,conjecture,
( ( ! [U: $i] :
( ( sorti1 @ U )
=> ( sorti2 @ ( h @ U ) ) )
& ! [V: $i] :
( ( sorti2 @ V )
=> ( sorti1 @ ( j @ V ) ) ) )
=> ~ ( ! [W: $i] :
( ( sorti1 @ W )
=> ! [X: $i] :
( ( sorti1 @ X )
=> ( ( h @ ( op1 @ W @ X ) )
= ( op2 @ ( h @ W ) @ ( h @ X ) ) ) ) )
& ! [Y: $i] :
( ( sorti2 @ Y )
=> ! [Z: $i] :
( ( sorti2 @ Z )
=> ( ( j @ ( op2 @ Y @ Z ) )
= ( op1 @ ( j @ Y ) @ ( j @ Z ) ) ) ) )
& ! [X1: $i] :
( ( sorti2 @ X1 )
=> ( ( h @ ( j @ X1 ) )
= X1 ) )
& ! [X2: $i] :
( ( sorti1 @ X2 )
=> ( ( j @ ( h @ X2 ) )
= X2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [U: $i] :
( ( sorti1 @ U )
=> ( sorti2 @ ( h @ U ) ) )
& ! [V: $i] :
( ( sorti2 @ V )
=> ( sorti1 @ ( j @ V ) ) ) )
=> ~ ( ! [W: $i] :
( ( sorti1 @ W )
=> ! [X: $i] :
( ( sorti1 @ X )
=> ( ( h @ ( op1 @ W @ X ) )
= ( op2 @ ( h @ W ) @ ( h @ X ) ) ) ) )
& ! [Y: $i] :
( ( sorti2 @ Y )
=> ! [Z: $i] :
( ( sorti2 @ Z )
=> ( ( j @ ( op2 @ Y @ Z ) )
= ( op1 @ ( j @ Y ) @ ( j @ Z ) ) ) ) )
& ! [X1: $i] :
( ( sorti2 @ X1 )
=> ( ( h @ ( j @ X1 ) )
= X1 ) )
& ! [X2: $i] :
( ( sorti1 @ X2 )
=> ( ( j @ ( h @ X2 ) )
= X2 ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_001,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax4,axiom,
~ ? [U: $i] :
( ? [V: $i] :
( ( ( op2 @ ( op2 @ U @ V ) @ U )
!= V )
& ( ( op2 @ ( op2 @ U @ V ) @ V )
= U )
& ( ( op2 @ V @ U )
!= ( op2 @ U @ V ) )
& ( sorti2 @ V ) )
& ( sorti2 @ U ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X1 )
= ( op2 @ X1 @ X0 ) )
| ( ( op2 @ ( op2 @ X1 @ X0 ) @ X0 )
!= X1 )
| ( ( op2 @ ( op2 @ X1 @ X0 ) @ X1 )
= X0 )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( ( op2 @ ( h @ X0 ) @ ( h @ X1 ) )
= ( h @ ( op1 @ X1 @ X0 ) ) )
| ( ( op2 @ ( h @ ( op1 @ X1 @ X0 ) ) @ ( h @ X0 ) )
!= ( h @ X1 ) )
| ( ( op2 @ ( h @ ( op1 @ X1 @ X0 ) ) @ ( h @ X1 ) )
= ( h @ X0 ) )
| ~ ( sorti2 @ ( h @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ ( h @ X1 ) )
| ( ( op2 @ ( h @ ( op1 @ X1 @ X0 ) ) @ ( h @ X1 ) )
= ( h @ X0 ) )
| ( ( op2 @ ( h @ ( op1 @ X1 @ X0 ) ) @ ( h @ X0 ) )
!= ( h @ X1 ) )
| ( ( op2 @ ( h @ X0 ) @ ( h @ X1 ) )
= ( h @ ( op1 @ X1 @ X0 ) ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl8]) ).
thf(zip_derived_cl8_002,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( op2 @ ( h @ X0 ) @ ( h @ X1 ) )
= ( h @ ( op1 @ X1 @ X0 ) ) )
| ( ( op2 @ ( h @ ( op1 @ X1 @ X0 ) ) @ ( h @ X0 ) )
!= ( h @ X1 ) )
| ( ( op2 @ ( h @ ( op1 @ X1 @ X0 ) ) @ ( h @ X1 ) )
= ( h @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl119,zip_derived_cl8]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( op2 @ ( h @ X0 ) @ ( h @ X1 ) )
= ( h @ ( op1 @ X1 @ X0 ) ) )
| ( ( h @ ( op1 @ ( op1 @ X1 @ X0 ) @ X0 ) )
!= ( h @ X1 ) )
| ( ( op2 @ ( h @ ( op1 @ X1 @ X0 ) ) @ ( h @ X1 ) )
= ( h @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl120]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i] :
( ( ( op2 @ ( h @ ( op1 @ X1 @ X0 ) ) @ ( h @ X1 ) )
= ( h @ X0 ) )
| ( ( h @ ( op1 @ ( op1 @ X1 @ X0 ) @ X0 ) )
!= ( h @ X1 ) )
| ( ( op2 @ ( h @ X0 ) @ ( h @ X1 ) )
= ( h @ ( op1 @ X1 @ X0 ) ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ ( op1 @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl121]) ).
thf(ax1,axiom,
! [U: $i] :
( ( sorti1 @ U )
=> ! [V: $i] :
( ( sorti1 @ V )
=> ( sorti1 @ ( op1 @ U @ V ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl955,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 )
| ( ( op2 @ ( h @ X0 ) @ ( h @ X1 ) )
= ( h @ ( op1 @ X1 @ X0 ) ) )
| ( ( h @ ( op1 @ ( op1 @ X1 @ X0 ) @ X0 ) )
!= ( h @ X1 ) )
| ( ( op2 @ ( h @ ( op1 @ X1 @ X0 ) ) @ ( h @ X1 ) )
= ( h @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl0]) ).
thf(zip_derived_cl961,plain,
( ~ ( sorti1 @ sk__1 )
| ~ ( sorti1 @ sk_ )
| ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( ( h @ sk_ )
!= ( h @ sk_ ) )
| ( ( op2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ) @ ( h @ sk_ ) )
= ( h @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl955]) ).
thf(zip_derived_cl6,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl966,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( ( h @ sk_ )
!= ( h @ sk_ ) )
| ( ( op2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ) @ ( h @ sk_ ) )
= ( h @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl961,zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl967,plain,
( ( ( op2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ) @ ( h @ sk_ ) )
= ( h @ sk__1 ) )
| ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl966]) ).
thf(zip_derived_cl10_003,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_004,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X4: $i,X5: $i] :
( ~ ( sorti2 @ X4 )
| ( ( j @ ( op2 @ X5 @ X4 ) )
= ( op1 @ ( j @ X5 ) @ ( j @ X4 ) ) )
| ~ ( sorti2 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ( ( j @ ( op2 @ ( h @ X0 ) @ X1 ) )
= ( op1 @ X0 @ ( j @ X1 ) ) )
| ~ ( sorti2 @ ( h @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).
thf(zip_derived_cl8_005,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i] :
( ( ( j @ ( op2 @ ( h @ X0 ) @ X1 ) )
= ( op1 @ X0 @ ( j @ X1 ) ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl8]) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X1 @ ( j @ ( h @ X0 ) ) ) )
| ~ ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl159]) ).
thf(zip_derived_cl173,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ ( h @ X0 ) )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X1 @ ( j @ ( h @ X0 ) ) ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl8_006,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2284,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X1 @ ( j @ ( h @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl173,zip_derived_cl8]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl4_008,plain,
( ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk__1 )
= sk_ ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl10_009,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_010,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_011,plain,
! [X4: $i,X5: $i] :
( ~ ( sorti2 @ X4 )
| ( ( j @ ( op2 @ X5 @ X4 ) )
= ( op1 @ ( j @ X5 ) @ ( j @ X4 ) ) )
| ~ ( sorti2 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( ( j @ ( op2 @ X1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti2 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).
thf(zip_derived_cl8_012,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( j @ ( op2 @ X1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl8]) ).
thf(zip_derived_cl145,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X1 ) )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ ( j @ ( h @ X1 ) ) @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl137]) ).
thf(zip_derived_cl149,plain,
! [X0: $i,X1: $i] :
( ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ ( j @ ( h @ X1 ) ) @ X0 ) )
| ~ ( sorti2 @ ( h @ X1 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl8_013,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1527,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ ( j @ ( h @ X1 ) ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl149,zip_derived_cl8]) ).
thf(zip_derived_cl1573,plain,
( ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ~ ( sorti1 @ sk__1 )
| ( ( j @ ( h @ sk_ ) )
= ( op1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl1527]) ).
thf(zip_derived_cl6_014,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1585,plain,
( ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ( ( j @ ( h @ sk_ ) )
= ( op1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1573,zip_derived_cl6]) ).
thf(zip_derived_cl1624,plain,
( ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ sk__1 )
| ( ( j @ ( h @ sk_ ) )
= ( op1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1585]) ).
thf(zip_derived_cl2_015,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_016,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1625,plain,
( ( j @ ( h @ sk_ ) )
= ( op1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1624,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl0_017,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl13_018,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1625_019,plain,
( ( j @ ( h @ sk_ ) )
= ( op1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1624,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl1841,plain,
( ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ( ( j @ ( h @ sk_ ) )
= ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl1625]) ).
thf(zip_derived_cl4_020,plain,
( ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk__1 )
= sk_ ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1845,plain,
( ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ( ( j @ ( h @ sk_ ) )
= sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1841,zip_derived_cl4]) ).
thf(zip_derived_cl1861,plain,
( ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ sk__1 )
| ( ( j @ ( h @ sk_ ) )
= sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1845]) ).
thf(zip_derived_cl2_021,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_022,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1862,plain,
( ( j @ ( h @ sk_ ) )
= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1861,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl1868,plain,
( sk_
= ( op1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1625,zip_derived_cl1862]) ).
thf(zip_derived_cl3539,plain,
( ~ ( sorti1 @ sk__1 )
| ~ ( sorti1 @ sk_ )
| ( sk_
= ( op1 @ ( op1 @ sk_ @ ( j @ ( h @ sk__1 ) ) ) @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2284,zip_derived_cl1868]) ).
thf(zip_derived_cl6_023,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2_024,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl3542,plain,
( sk_
= ( op1 @ ( op1 @ sk_ @ ( j @ ( h @ sk__1 ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3539,zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl159_025,plain,
! [X0: $i,X1: $i] :
( ( ( j @ ( op2 @ ( h @ X0 ) @ X1 ) )
= ( op1 @ X0 @ ( j @ X1 ) ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X6: $i] :
( ( ( h @ ( j @ X6 ) )
= X6 )
| ~ ( sorti2 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_026,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 )
| ( ( h @ ( op1 @ ( j @ X0 ) @ X1 ) )
= ( op2 @ X0 @ ( h @ X1 ) ) )
| ~ ( sorti1 @ ( j @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl9,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( op1 @ ( j @ X0 ) @ X1 ) )
= ( op2 @ X0 @ ( h @ X1 ) ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl9]) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 )
| ( ( h @ ( op1 @ ( op1 @ X1 @ ( j @ X0 ) ) @ X2 ) )
= ( op2 @ ( op2 @ ( h @ X1 ) @ X0 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X2 )
| ~ ( sorti2 @ ( op2 @ ( h @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl159,zip_derived_cl94]) ).
thf(zip_derived_cl12_027,plain,
! [X6: $i] :
( ( ( h @ ( j @ X6 ) )
= X6 )
| ~ ( sorti2 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_028,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( j @ X0 ) )
| ( ( h @ ( op1 @ X1 @ ( j @ X0 ) ) )
= ( op2 @ ( h @ X1 ) @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl9_029,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ( ( h @ ( op1 @ X1 @ ( j @ X0 ) ) )
= ( op2 @ ( h @ X1 ) @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl61,zip_derived_cl9]) ).
thf(zip_derived_cl10_030,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax2,axiom,
! [U: $i] :
( ( sorti2 @ U )
=> ! [V: $i] :
( ( sorti2 @ V )
=> ( sorti2 @ ( op2 @ U @ V ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ( sorti2 @ ( op2 @ X1 @ X0 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) )
| ~ ( sorti2 @ ( h @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).
thf(zip_derived_cl8_031,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ ( h @ X1 ) )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl8]) ).
thf(zip_derived_cl8_032,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl8]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ ( j @ X0 ) )
| ( sorti2 @ ( op2 @ ( h @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl82]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ( sorti2 @ ( op2 @ ( h @ X1 ) @ X0 ) )
| ~ ( sorti1 @ ( j @ X0 ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl9_033,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 )
| ( sorti2 @ ( op2 @ ( h @ X1 ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl86,zip_derived_cl9]) ).
thf(zip_derived_cl2029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ ( op1 @ X1 @ ( j @ X0 ) ) @ X2 ) )
= ( op2 @ ( op2 @ ( h @ X1 ) @ X0 ) @ ( h @ X2 ) ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl166,zip_derived_cl106]) ).
thf(zip_derived_cl3567,plain,
( ~ ( sorti1 @ sk__1 )
| ( ( h @ sk_ )
= ( op2 @ ( op2 @ ( h @ sk_ ) @ ( h @ sk__1 ) ) @ ( h @ sk__1 ) ) )
| ~ ( sorti2 @ ( h @ sk__1 ) )
| ~ ( sorti1 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3542,zip_derived_cl2029]) ).
thf(zip_derived_cl6_034,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl0_035,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl967_036,plain,
( ( ( op2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ) @ ( h @ sk_ ) )
= ( h @ sk__1 ) )
| ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl966]) ).
thf(zip_derived_cl106_037,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 )
| ( sorti2 @ ( op2 @ ( h @ X1 ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl86,zip_derived_cl9]) ).
thf(zip_derived_cl1039,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ~ ( sorti2 @ ( h @ sk_ ) )
| ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ( sorti2 @ ( h @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl967,zip_derived_cl106]) ).
thf(zip_derived_cl0_038,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl4_039,plain,
( ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk__1 )
= sk_ ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl82_040,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl8]) ).
thf(zip_derived_cl84,plain,
( ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ~ ( sorti1 @ sk__1 )
| ( sorti2 @ ( h @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl82]) ).
thf(zip_derived_cl6_041,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl87,plain,
( ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ( sorti2 @ ( h @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl6]) ).
thf(zip_derived_cl92,plain,
( ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ sk__1 )
| ( sorti2 @ ( h @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl87]) ).
thf(zip_derived_cl2_042,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_043,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl93,plain,
sorti2 @ ( h @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl1060,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ( sorti2 @ ( h @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1039,zip_derived_cl93]) ).
thf(zip_derived_cl1189,plain,
( ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ sk__1 )
| ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( sorti2 @ ( h @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1060]) ).
thf(zip_derived_cl2_044,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_045,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1190,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( sorti2 @ ( h @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1189,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl159_046,plain,
! [X0: $i,X1: $i] :
( ( ( j @ ( op2 @ ( h @ X0 ) @ X1 ) )
= ( op1 @ X0 @ ( j @ X1 ) ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl8]) ).
thf(zip_derived_cl1280,plain,
( ( sorti2 @ ( h @ sk__1 ) )
| ( ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) )
= ( op1 @ sk__1 @ ( j @ ( h @ sk_ ) ) ) )
| ~ ( sorti2 @ ( h @ sk_ ) )
| ~ ( sorti1 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1190,zip_derived_cl159]) ).
thf(zip_derived_cl93_047,plain,
sorti2 @ ( h @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl6_048,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1304,plain,
( ( sorti2 @ ( h @ sk__1 ) )
| ( ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) )
= ( op1 @ sk__1 @ ( j @ ( h @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1280,zip_derived_cl93,zip_derived_cl6]) ).
thf(zip_derived_cl1862_049,plain,
( ( j @ ( h @ sk_ ) )
= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1861,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl1865,plain,
( ( sorti2 @ ( h @ sk__1 ) )
| ( ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) )
= ( op1 @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1304,zip_derived_cl1862]) ).
thf(zip_derived_cl1527_050,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ ( j @ ( h @ X1 ) ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl149,zip_derived_cl8]) ).
thf(zip_derived_cl2761,plain,
( ( sorti2 @ ( h @ sk__1 ) )
| ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ sk__1 )
| ( ( op1 @ sk__1 @ sk_ )
= ( op1 @ ( j @ ( h @ sk_ ) ) @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1865,zip_derived_cl1527]) ).
thf(zip_derived_cl2_051,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_052,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1862_053,plain,
( ( j @ ( h @ sk_ ) )
= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1861,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl2768,plain,
( ( sorti2 @ ( h @ sk__1 ) )
| ( ( op1 @ sk__1 @ sk_ )
= ( op1 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2761,zip_derived_cl2,zip_derived_cl6,zip_derived_cl1862]) ).
thf(zip_derived_cl5,plain,
( ( op1 @ sk__1 @ sk_ )
!= ( op1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2769,plain,
sorti2 @ ( h @ sk__1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2768,zip_derived_cl5]) ).
thf(zip_derived_cl2_054,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl3578,plain,
( ( h @ sk_ )
= ( op2 @ ( op2 @ ( h @ sk_ ) @ ( h @ sk__1 ) ) @ ( h @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3567,zip_derived_cl6,zip_derived_cl2769,zip_derived_cl2]) ).
thf(zip_derived_cl4160,plain,
( ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ sk__1 )
| ( ( h @ sk_ )
= ( op2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ) @ ( h @ sk__1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl3578]) ).
thf(zip_derived_cl2_055,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_056,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl4162,plain,
( ( h @ sk_ )
= ( op2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ) @ ( h @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4160,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl94_057,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( op1 @ ( j @ X0 ) @ X1 ) )
= ( op2 @ X0 @ ( h @ X1 ) ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl9]) ).
thf(zip_derived_cl10_058,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ ( op1 @ ( j @ X1 ) @ X0 ) )
| ( ( h @ ( op1 @ X2 @ ( op1 @ ( j @ X1 ) @ X0 ) ) )
= ( op2 @ ( h @ X2 ) @ ( op2 @ X1 @ ( h @ X0 ) ) ) )
| ~ ( sorti1 @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl10]) ).
thf(zip_derived_cl137_059,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( j @ ( op2 @ X1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl8]) ).
thf(zip_derived_cl11_060,plain,
! [X4: $i,X5: $i] :
( ~ ( sorti2 @ X4 )
| ( ( j @ ( op2 @ X5 @ X4 ) )
= ( op1 @ ( j @ X5 ) @ ( j @ X4 ) ) )
| ~ ( sorti2 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_061,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( j @ X0 ) )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) )
| ~ ( sorti1 @ ( j @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl9_062,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ ( j @ X1 ) )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl64,zip_derived_cl9]) ).
thf(zip_derived_cl9_063,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl9]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( sorti1 @ ( op1 @ ( j @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl137,zip_derived_cl90]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i] :
( ( sorti1 @ ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl8_064,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ( sorti1 @ ( op1 @ ( j @ X1 ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl8]) ).
thf(zip_derived_cl390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X2 @ ( op1 @ ( j @ X1 ) @ X0 ) ) )
= ( op2 @ ( h @ X2 ) @ ( op2 @ X1 @ ( h @ X0 ) ) ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl153]) ).
thf(zip_derived_cl13_065,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl399,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X2 )
| ( ( j @ ( op2 @ ( h @ X2 ) @ ( op2 @ X1 @ ( h @ X0 ) ) ) )
= ( op1 @ X2 @ ( op1 @ ( j @ X1 ) @ X0 ) ) )
| ~ ( sorti1 @ ( op1 @ X2 @ ( op1 @ ( j @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl390,zip_derived_cl13]) ).
thf(zip_derived_cl137_066,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( j @ ( op2 @ X1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl8]) ).
thf(zip_derived_cl159_067,plain,
! [X0: $i,X1: $i] :
( ( ( j @ ( op2 @ ( h @ X0 ) @ X1 ) )
= ( op1 @ X0 @ ( j @ X1 ) ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl8]) ).
thf(zip_derived_cl90_068,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl9]) ).
thf(zip_derived_cl167,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ ( h @ X1 ) )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ ( j @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl159,zip_derived_cl90]) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i] :
( ( sorti1 @ ( op1 @ X1 @ ( j @ X0 ) ) )
| ~ ( sorti2 @ ( h @ X1 ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl167]) ).
thf(zip_derived_cl8_069,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ ( j @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl174,zip_derived_cl8]) ).
thf(zip_derived_cl203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X2 )
| ~ ( sorti2 @ ( op2 @ X1 @ ( h @ X0 ) ) )
| ( sorti1 @ ( op1 @ X2 @ ( op1 @ ( j @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl137,zip_derived_cl201]) ).
thf(zip_derived_cl94_070,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( op1 @ ( j @ X0 ) @ X1 ) )
= ( op2 @ X0 @ ( h @ X1 ) ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl62,zip_derived_cl9]) ).
thf(zip_derived_cl82_071,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl8]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( op2 @ X1 @ ( h @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl82]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i] :
( ( sorti2 @ ( op2 @ X1 @ ( h @ X0 ) ) )
| ~ ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl9_072,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( op2 @ X1 @ ( h @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl105,zip_derived_cl9]) ).
thf(zip_derived_cl2772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sorti1 @ ( op1 @ X2 @ ( op1 @ ( j @ X1 ) @ X0 ) ) )
| ~ ( sorti1 @ X2 )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl203,zip_derived_cl113]) ).
thf(zip_derived_cl13299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( j @ ( op2 @ ( h @ X2 ) @ ( op2 @ X1 @ ( h @ X0 ) ) ) )
= ( op1 @ X2 @ ( op1 @ ( j @ X1 ) @ X0 ) ) )
| ~ ( sorti1 @ X2 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl399,zip_derived_cl2772]) ).
thf(zip_derived_cl13418,plain,
! [X0: $i] :
( ( ( j @ ( op2 @ ( h @ X0 ) @ ( h @ sk_ ) ) )
= ( op1 @ X0 @ ( op1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) @ sk__1 ) ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ sk__1 )
| ~ ( sorti2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4162,zip_derived_cl13299]) ).
thf(zip_derived_cl1868_073,plain,
( sk_
= ( op1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1625,zip_derived_cl1862]) ).
thf(zip_derived_cl6_074,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl13_075,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2284_076,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X1 @ ( j @ ( h @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl173,zip_derived_cl8]) ).
thf(zip_derived_cl0_077,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl967_078,plain,
( ( ( op2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ) @ ( h @ sk_ ) )
= ( h @ sk__1 ) )
| ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl966]) ).
thf(zip_derived_cl67_079,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ( ( h @ ( op1 @ X1 @ ( j @ X0 ) ) )
= ( op2 @ ( h @ X1 ) @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl61,zip_derived_cl9]) ).
thf(zip_derived_cl10_080,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90_081,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl9]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X1 ) )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( sorti1 @ ( j @ ( h @ ( op1 @ X1 @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl90]) ).
thf(zip_derived_cl8_082,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl310,plain,
! [X0: $i,X1: $i] :
( ( sorti1 @ ( j @ ( h @ ( op1 @ X1 @ X0 ) ) ) )
| ~ ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl8]) ).
thf(zip_derived_cl8_083,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl311,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti1 @ ( j @ ( h @ ( op1 @ X1 @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl310,zip_derived_cl8]) ).
thf(zip_derived_cl314,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ ( j @ X0 ) )
| ( sorti1 @ ( j @ ( op2 @ ( h @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl311]) ).
thf(zip_derived_cl320,plain,
! [X0: $i,X1: $i] :
( ( sorti1 @ ( j @ ( op2 @ ( h @ X1 ) @ X0 ) ) )
| ~ ( sorti1 @ ( j @ X0 ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl314]) ).
thf(zip_derived_cl9_084,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl324,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 )
| ( sorti1 @ ( j @ ( op2 @ ( h @ X1 ) @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl320,zip_derived_cl9]) ).
thf(zip_derived_cl1040,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ~ ( sorti2 @ ( h @ sk_ ) )
| ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ( sorti1 @ ( j @ ( h @ sk__1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl967,zip_derived_cl324]) ).
thf(zip_derived_cl93_085,plain,
sorti2 @ ( h @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl1061,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) )
| ( sorti1 @ ( j @ ( h @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1040,zip_derived_cl93]) ).
thf(zip_derived_cl9292,plain,
( ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ sk__1 )
| ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( sorti1 @ ( j @ ( h @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1061]) ).
thf(zip_derived_cl2_086,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_087,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl9294,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( sorti1 @ ( j @ ( h @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9292,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl11_088,plain,
! [X4: $i,X5: $i] :
( ~ ( sorti2 @ X4 )
| ( ( j @ ( op2 @ X5 @ X4 ) )
= ( op1 @ ( j @ X5 ) @ ( j @ X4 ) ) )
| ~ ( sorti2 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_089,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl8]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti1 @ ( j @ X0 ) )
| ( sorti2 @ ( h @ ( j @ ( op2 @ X1 @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl82]) ).
thf(zip_derived_cl9_090,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
! [X0: $i,X1: $i] :
( ( sorti2 @ ( h @ ( j @ ( op2 @ X1 @ X0 ) ) ) )
| ~ ( sorti1 @ ( j @ X0 ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl85,zip_derived_cl9]) ).
thf(zip_derived_cl9_091,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl232,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti2 @ ( h @ ( j @ ( op2 @ X1 @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl231,zip_derived_cl9]) ).
thf(zip_derived_cl10108,plain,
( ( sorti1 @ ( j @ ( h @ sk__1 ) ) )
| ~ ( sorti2 @ ( h @ sk__1 ) )
| ~ ( sorti2 @ ( h @ sk_ ) )
| ( sorti2 @ ( h @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9294,zip_derived_cl232]) ).
thf(zip_derived_cl2769_092,plain,
sorti2 @ ( h @ sk__1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2768,zip_derived_cl5]) ).
thf(zip_derived_cl93_093,plain,
sorti2 @ ( h @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl10176,plain,
( ( sorti1 @ ( j @ ( h @ sk__1 ) ) )
| ( sorti2 @ ( h @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10108,zip_derived_cl2769,zip_derived_cl93]) ).
thf(zip_derived_cl11181,plain,
( ~ ( sorti1 @ sk__1 )
| ~ ( sorti1 @ sk_ )
| ( sorti1 @ ( j @ ( h @ sk__1 ) ) )
| ( sorti2 @ ( h @ ( op1 @ sk_ @ ( j @ ( h @ sk__1 ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2284,zip_derived_cl10176]) ).
thf(zip_derived_cl6_094,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2_095,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl11186,plain,
( ( sorti1 @ ( j @ ( h @ sk__1 ) ) )
| ( sorti2 @ ( h @ ( op1 @ sk_ @ ( j @ ( h @ sk__1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11181,zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl1862_096,plain,
( ( j @ ( h @ sk_ ) )
= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1861,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl137_097,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( j @ ( op2 @ X1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl8]) ).
thf(zip_derived_cl232_098,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti2 @ ( h @ ( j @ ( op2 @ X1 @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl231,zip_derived_cl9]) ).
thf(zip_derived_cl234,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( sorti2 @ ( h @ ( op1 @ ( j @ X1 ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl137,zip_derived_cl232]) ).
thf(zip_derived_cl237,plain,
! [X0: $i,X1: $i] :
( ( sorti2 @ ( h @ ( op1 @ ( j @ X1 ) @ X0 ) ) )
| ~ ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl234]) ).
thf(zip_derived_cl8_099,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl239,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ( sorti2 @ ( h @ ( op1 @ ( j @ X1 ) @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl237,zip_derived_cl8]) ).
thf(zip_derived_cl1871,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ sk_ ) )
| ( sorti2 @ ( h @ ( op1 @ sk_ @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1862,zip_derived_cl239]) ).
thf(zip_derived_cl93_100,plain,
sorti2 @ ( h @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl1906,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti2 @ ( h @ ( op1 @ sk_ @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1871,zip_derived_cl93]) ).
thf(zip_derived_cl11736,plain,
sorti2 @ ( h @ ( op1 @ sk_ @ ( j @ ( h @ sk__1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11186,zip_derived_cl1906]) ).
thf(zip_derived_cl11740,plain,
( ~ ( sorti1 @ sk__1 )
| ( sorti2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl11736]) ).
thf(zip_derived_cl6_101,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl11744,plain,
sorti2 @ ( h @ ( op1 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl11740,zip_derived_cl6]) ).
thf(zip_derived_cl13472,plain,
! [X0: $i] :
( ( ( j @ ( op2 @ ( h @ X0 ) @ ( h @ sk_ ) ) )
= ( op1 @ X0 @ sk_ ) )
| ~ ( sorti1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13418,zip_derived_cl1868,zip_derived_cl6,zip_derived_cl11744]) ).
thf(zip_derived_cl18735,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( ( j @ ( h @ sk__1 ) )
= ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk_ ) )
| ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl967,zip_derived_cl13472]) ).
thf(zip_derived_cl13_102,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2284_103,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X1 @ ( j @ ( h @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl173,zip_derived_cl8]) ).
thf(zip_derived_cl9294_104,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( sorti1 @ ( j @ ( h @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9292,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl90_105,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl9]) ).
thf(zip_derived_cl10107,plain,
( ( sorti1 @ ( j @ ( h @ sk__1 ) ) )
| ~ ( sorti2 @ ( h @ sk__1 ) )
| ~ ( sorti2 @ ( h @ sk_ ) )
| ( sorti1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9294,zip_derived_cl90]) ).
thf(zip_derived_cl2769_106,plain,
sorti2 @ ( h @ sk__1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2768,zip_derived_cl5]) ).
thf(zip_derived_cl93_107,plain,
sorti2 @ ( h @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl10175,plain,
( ( sorti1 @ ( j @ ( h @ sk__1 ) ) )
| ( sorti1 @ ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10107,zip_derived_cl2769,zip_derived_cl93]) ).
thf(zip_derived_cl10650,plain,
( ~ ( sorti1 @ sk__1 )
| ~ ( sorti1 @ sk_ )
| ( sorti1 @ ( j @ ( h @ sk__1 ) ) )
| ( sorti1 @ ( op1 @ sk_ @ ( j @ ( h @ sk__1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2284,zip_derived_cl10175]) ).
thf(zip_derived_cl6_108,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2_109,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl10653,plain,
( ( sorti1 @ ( j @ ( h @ sk__1 ) ) )
| ( sorti1 @ ( op1 @ sk_ @ ( j @ ( h @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10650,zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl1862_110,plain,
( ( j @ ( h @ sk_ ) )
= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1861,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl153_111,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ( sorti1 @ ( op1 @ ( j @ X1 ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl8]) ).
thf(zip_derived_cl1870,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ sk_ ) )
| ( sorti1 @ ( op1 @ sk_ @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1862,zip_derived_cl153]) ).
thf(zip_derived_cl93_112,plain,
sorti2 @ ( h @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl1905,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ sk_ @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1870,zip_derived_cl93]) ).
thf(zip_derived_cl11173,plain,
sorti1 @ ( op1 @ sk_ @ ( j @ ( h @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl10653,zip_derived_cl1905]) ).
thf(zip_derived_cl11174,plain,
( ~ ( sorti1 @ sk__1 )
| ( sorti1 @ ( op1 @ sk_ @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl11173]) ).
thf(zip_derived_cl6_113,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl11175,plain,
sorti1 @ ( op1 @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl11174,zip_derived_cl6]) ).
thf(zip_derived_cl18766,plain,
( ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( ( j @ ( h @ sk__1 ) )
= ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18735,zip_derived_cl11175]) ).
thf(zip_derived_cl10_114,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19218,plain,
( ( ( j @ ( h @ sk__1 ) )
= ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk_ ) )
| ~ ( sorti1 @ sk_ )
| ( ( h @ ( op1 @ sk__1 @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ~ ( sorti1 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18766,zip_derived_cl10]) ).
thf(zip_derived_cl2_115,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_116,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl19319,plain,
( ( ( j @ ( h @ sk__1 ) )
= ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk_ ) )
| ( ( h @ ( op1 @ sk__1 @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19218,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl13_117,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19968,plain,
( ( ( h @ ( op1 @ sk__1 @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk_ )
= sk__1 )
| ~ ( sorti1 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19319,zip_derived_cl13]) ).
thf(zip_derived_cl6_118,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl20097,plain,
( ( ( h @ ( op1 @ sk__1 @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) )
| ( ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk_ )
= sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl19968,zip_derived_cl6]) ).
thf(zip_derived_cl3,plain,
( ( op1 @ ( op1 @ sk_ @ sk__1 ) @ sk_ )
!= sk__1 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl20098,plain,
( ( h @ ( op1 @ sk__1 @ sk_ ) )
= ( h @ ( op1 @ sk_ @ sk__1 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20097,zip_derived_cl3]) ).
thf(zip_derived_cl2284_119,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X1 @ ( j @ ( h @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl173,zip_derived_cl8]) ).
thf(zip_derived_cl20302,plain,
( ~ ( sorti1 @ sk__1 )
| ~ ( sorti1 @ sk_ )
| ( ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) )
= ( op1 @ sk__1 @ ( j @ ( h @ sk_ ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20098,zip_derived_cl2284]) ).
thf(zip_derived_cl6_120,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2_121,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1862_122,plain,
( ( j @ ( h @ sk_ ) )
= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1861,zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl20312,plain,
( ( j @ ( h @ ( op1 @ sk_ @ sk__1 ) ) )
= ( op1 @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl20302,zip_derived_cl6,zip_derived_cl2,zip_derived_cl1862]) ).
thf(zip_derived_cl13_123,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20587,plain,
( ( ( op1 @ sk__1 @ sk_ )
= ( op1 @ sk_ @ sk__1 ) )
| ~ ( sorti1 @ ( op1 @ sk_ @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20312,zip_derived_cl13]) ).
thf(zip_derived_cl11175_124,plain,
sorti1 @ ( op1 @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl11174,zip_derived_cl6]) ).
thf(zip_derived_cl20711,plain,
( ( op1 @ sk__1 @ sk_ )
= ( op1 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl20587,zip_derived_cl11175]) ).
thf(zip_derived_cl5_125,plain,
( ( op1 @ sk__1 @ sk_ )
!= ( op1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl20712,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20711,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG074+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bz8PYIMORu true
% 0.13/0.34 % Computer : n007.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 : Mon Aug 28 05:36:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.97/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.97/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.97/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 45.10/7.13 % Solved by fo/fo6_bce.sh.
% 45.10/7.13 % BCE start: 14
% 45.10/7.13 % BCE eliminated: 0
% 45.10/7.13 % PE start: 14
% 45.10/7.13 logic: eq
% 45.10/7.13 % PE eliminated: 0
% 45.10/7.13 % done 834 iterations in 6.403s
% 45.10/7.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 45.10/7.13 % SZS output start Refutation
% See solution above
% 45.10/7.14
% 45.10/7.14
% 45.10/7.14 % Terminating...
% 45.68/7.18 % Runner terminated.
% 45.68/7.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------