TSTP Solution File: ALG071+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG071+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LyaFPQIteo true
% Computer : n018.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 76.22s 11.60s
% Output : Refutation 76.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 145 ( 14 unt; 8 typ; 0 def)
% Number of atoms : 408 ( 77 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1673 ( 246 ~; 237 |; 12 &;1156 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 185 ( 0 ^; 183 !; 2 ?; 185 :)
% Comments :
%------------------------------------------------------------------------------
thf(sorti1_type,type,
sorti1: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sorti2_type,type,
sorti2: $i > $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $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] :
( ( sorti1 @ U )
=> ? [V: $i] :
( ( ( op1 @ U @ ( op1 @ V @ U ) )
= V )
& ( ( op1 @ V @ ( op1 @ V @ U ) )
!= U )
& ( sorti1 @ V ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( sorti1 @ ( sk_ @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
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_cl12,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i] :
( ( sorti1 @ ( sk_ @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl8,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i] :
( ( sorti1 @ ( sk_ @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl11,plain,
! [X6: $i] :
( ( ( h @ ( j @ X6 ) )
= X6 )
| ~ ( sorti2 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,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_cl65,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_cl11,zip_derived_cl9]) ).
thf(zip_derived_cl8_003,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ( ( h @ ( op1 @ X1 @ ( j @ X0 ) ) )
= ( op2 @ ( h @ X1 ) @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl8]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( op1 @ X0 @ ( op1 @ ( sk_ @ X0 ) @ X0 ) )
= ( sk_ @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl11_004,plain,
! [X6: $i] :
( ( ( h @ ( j @ X6 ) )
= X6 )
| ~ ( sorti2 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_005,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_cl66,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_cl11,zip_derived_cl9]) ).
thf(zip_derived_cl8_006,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( op1 @ ( j @ X0 ) @ X1 ) )
= ( op2 @ X0 @ ( h @ X1 ) ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl8]) ).
thf(zip_derived_cl108,plain,
! [X0: $i] :
( ~ ( sorti1 @ ( j @ X0 ) )
| ( ( h @ ( sk_ @ ( j @ X0 ) ) )
= ( op2 @ X0 @ ( h @ ( op1 @ ( sk_ @ ( j @ X0 ) ) @ ( j @ X0 ) ) ) ) )
| ~ ( sorti1 @ ( op1 @ ( sk_ @ ( j @ X0 ) ) @ ( j @ X0 ) ) )
| ~ ( sorti2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl100]) ).
thf(zip_derived_cl8_007,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl566,plain,
! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( op1 @ ( sk_ @ ( j @ X0 ) ) @ ( j @ X0 ) ) )
| ( ( h @ ( sk_ @ ( j @ X0 ) ) )
= ( op2 @ X0 @ ( h @ ( op1 @ ( sk_ @ ( j @ X0 ) ) @ ( j @ X0 ) ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl108,zip_derived_cl8]) ).
thf(zip_derived_cl585,plain,
! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( sk_ @ ( j @ X0 ) ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( op1 @ ( sk_ @ ( j @ X0 ) ) @ ( j @ X0 ) ) )
| ( ( h @ ( sk_ @ ( j @ X0 ) ) )
= ( op2 @ X0 @ ( op2 @ ( h @ ( sk_ @ ( j @ X0 ) ) ) @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl566]) ).
thf(zip_derived_cl594,plain,
! [X0: $i] :
( ( ( h @ ( sk_ @ ( j @ X0 ) ) )
= ( op2 @ X0 @ ( op2 @ ( h @ ( sk_ @ ( j @ X0 ) ) ) @ X0 ) ) )
| ~ ( sorti1 @ ( op1 @ ( sk_ @ ( j @ X0 ) ) @ ( j @ X0 ) ) )
| ~ ( sorti1 @ ( sk_ @ ( j @ X0 ) ) )
| ~ ( sorti2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl585]) ).
thf(zip_derived_cl12_008,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,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_cl69,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_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i] :
( ( ( j @ ( op2 @ ( h @ X0 ) @ X1 ) )
= ( op1 @ X0 @ ( j @ X1 ) ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl69,zip_derived_cl7]) ).
thf(zip_derived_cl10_009,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(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_cl67,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_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl8_010,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ ( j @ X1 ) )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl8]) ).
thf(zip_derived_cl8_011,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl8]) ).
thf(zip_derived_cl147,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_cl140,zip_derived_cl93]) ).
thf(zip_derived_cl154,plain,
! [X0: $i,X1: $i] :
( ( sorti1 @ ( op1 @ X1 @ ( j @ X0 ) ) )
| ~ ( sorti2 @ ( h @ X1 ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl7_012,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl215,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ ( j @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl7]) ).
thf(zip_derived_cl26587,plain,
! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( sk_ @ ( j @ X0 ) ) )
| ( ( h @ ( sk_ @ ( j @ X0 ) ) )
= ( op2 @ X0 @ ( op2 @ ( h @ ( sk_ @ ( j @ X0 ) ) ) @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl594,zip_derived_cl215]) ).
thf(ax4,axiom,
~ ! [U: $i] :
( ( sorti2 @ U )
=> ? [V: $i] :
( ( ( op2 @ U @ ( op2 @ V @ U ) )
= V )
& ( ( op2 @ V @ ( op2 @ V @ U ) )
!= U )
& ( sorti2 @ V ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( ( op2 @ sk__1 @ ( op2 @ X0 @ sk__1 ) )
!= X0 )
| ( ( op2 @ X0 @ ( op2 @ X0 @ sk__1 ) )
= sk__1 )
| ~ ( sorti2 @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl26724,plain,
( ~ ( sorti1 @ ( sk_ @ ( j @ sk__1 ) ) )
| ~ ( sorti2 @ sk__1 )
| ( ( h @ ( sk_ @ ( j @ sk__1 ) ) )
!= ( h @ ( sk_ @ ( j @ sk__1 ) ) ) )
| ( ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ sk__1 ) )
= sk__1 )
| ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26587,zip_derived_cl6]) ).
thf(zip_derived_cl5,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl26830,plain,
( ~ ( sorti1 @ ( sk_ @ ( j @ sk__1 ) ) )
| ( ( h @ ( sk_ @ ( j @ sk__1 ) ) )
!= ( h @ ( sk_ @ ( j @ sk__1 ) ) ) )
| ( ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ sk__1 ) )
= sk__1 )
| ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26724,zip_derived_cl5]) ).
thf(zip_derived_cl26831,plain,
( ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) )
| ( ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ sk__1 ) )
= sk__1 )
| ~ ( sorti1 @ ( sk_ @ ( j @ sk__1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl26830]) ).
thf(zip_derived_cl7_013,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26866,plain,
( ~ ( sorti1 @ ( sk_ @ ( j @ sk__1 ) ) )
| ( ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ sk__1 ) )
= sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl26831,zip_derived_cl7]) ).
thf(zip_derived_cl26867,plain,
( ~ ( sorti1 @ ( j @ sk__1 ) )
| ( ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ sk__1 ) )
= sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl26866]) ).
thf(zip_derived_cl27241,plain,
( ~ ( sorti2 @ sk__1 )
| ( ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ sk__1 ) )
= sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl26867]) ).
thf(zip_derived_cl5_014,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl27242,plain,
( ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ sk__1 ) )
= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl27241,zip_derived_cl5]) ).
thf(zip_derived_cl70_015,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ( ( h @ ( op1 @ X1 @ ( j @ X0 ) ) )
= ( op2 @ ( h @ X1 ) @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl8]) ).
thf(zip_derived_cl12_016,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_017,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_cl68,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_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl7_018,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( j @ ( op2 @ X1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl7]) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X2 )
| ( ( j @ ( op2 @ X2 @ ( op2 @ ( h @ X1 ) @ X0 ) ) )
= ( op1 @ ( j @ X2 ) @ ( op1 @ X1 @ ( j @ X0 ) ) ) )
| ~ ( sorti1 @ ( op1 @ X1 @ ( j @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl118]) ).
thf(zip_derived_cl215_019,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ ( j @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl7]) ).
thf(zip_derived_cl850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( j @ ( op2 @ X2 @ ( op2 @ ( h @ X1 ) @ X0 ) ) )
= ( op1 @ ( j @ X2 ) @ ( op1 @ X1 @ ( j @ X0 ) ) ) )
| ~ ( sorti2 @ X2 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl127,zip_derived_cl215]) ).
thf(zip_derived_cl28269,plain,
( ( ( j @ sk__1 )
= ( op1 @ ( j @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) @ ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( j @ sk__1 ) ) ) )
| ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) )
| ~ ( sorti1 @ ( sk_ @ ( j @ sk__1 ) ) )
| ~ ( sorti2 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27242,zip_derived_cl850]) ).
thf(zip_derived_cl5_020,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl28302,plain,
( ( ( j @ sk__1 )
= ( op1 @ ( j @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) @ ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( j @ sk__1 ) ) ) )
| ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) )
| ~ ( sorti1 @ ( sk_ @ ( j @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28269,zip_derived_cl5]) ).
thf(zip_derived_cl7_021,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30017,plain,
( ~ ( sorti1 @ ( sk_ @ ( j @ sk__1 ) ) )
| ( ( j @ sk__1 )
= ( op1 @ ( j @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) @ ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( j @ sk__1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl28302,zip_derived_cl7]) ).
thf(zip_derived_cl30018,plain,
( ~ ( sorti1 @ ( j @ sk__1 ) )
| ( ( j @ sk__1 )
= ( op1 @ ( j @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) @ ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( j @ sk__1 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl30017]) ).
thf(zip_derived_cl0_022,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl2_023,plain,
! [X0: $i] :
( ( ( op1 @ X0 @ ( op1 @ ( sk_ @ X0 ) @ X0 ) )
= ( sk_ @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl118_024,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( j @ ( op2 @ X1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl7]) ).
thf(zip_derived_cl10_025,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_cl70_026,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ( ( h @ ( op1 @ X1 @ ( j @ X0 ) ) )
= ( op2 @ ( h @ X1 ) @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl8]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( j @ X1 ) )
| ( ( h @ ( j @ ( op2 @ X1 @ X0 ) ) )
= ( op2 @ ( h @ ( j @ X1 ) ) @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl70]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( j @ ( op2 @ X1 @ X0 ) ) )
= ( op2 @ ( h @ ( j @ X1 ) ) @ X0 ) )
| ~ ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl8_027,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl234,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( ( h @ ( j @ ( op2 @ X1 @ X0 ) ) )
= ( op2 @ ( h @ ( j @ X1 ) ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl8]) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( ( h @ ( op1 @ ( j @ X1 ) @ X0 ) )
= ( op2 @ ( h @ ( j @ X1 ) ) @ ( h @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl118,zip_derived_cl234]) ).
thf(zip_derived_cl247,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( op1 @ ( j @ X1 ) @ X0 ) )
= ( op2 @ ( h @ ( j @ X1 ) ) @ ( h @ X0 ) ) )
| ~ ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl7_028,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl262,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ( ( h @ ( op1 @ ( j @ X1 ) @ X0 ) )
= ( op2 @ ( h @ ( j @ X1 ) ) @ ( h @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl247,zip_derived_cl7]) ).
thf(zip_derived_cl234_029,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( ( h @ ( j @ ( op2 @ X1 @ X0 ) ) )
= ( op2 @ ( h @ ( j @ X1 ) ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl8]) ).
thf(zip_derived_cl7_030,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ X1 )
| ( sorti2 @ ( op2 @ ( h @ ( j @ X1 ) ) @ X0 ) )
| ~ ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl234,zip_derived_cl7]) ).
thf(zip_derived_cl93_031,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl8]) ).
thf(zip_derived_cl251,plain,
! [X0: $i,X1: $i] :
( ( sorti2 @ ( op2 @ ( h @ ( j @ X1 ) ) @ X0 ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl235,zip_derived_cl93]) ).
thf(zip_derived_cl270,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( h @ ( op1 @ ( j @ X1 ) @ X0 ) ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ ( h @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl262,zip_derived_cl251]) ).
thf(zip_derived_cl285,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ ( h @ X0 ) )
| ( sorti2 @ ( h @ ( op1 @ ( j @ X1 ) @ X0 ) ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl270]) ).
thf(zip_derived_cl7_032,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl286,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( h @ ( op1 @ ( j @ X1 ) @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl285,zip_derived_cl7]) ).
thf(zip_derived_cl290,plain,
! [X0: $i] :
( ~ ( sorti1 @ ( j @ X0 ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ ( op1 @ ( sk_ @ ( j @ X0 ) ) @ ( j @ X0 ) ) )
| ( sorti2 @ ( h @ ( sk_ @ ( j @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl286]) ).
thf(zip_derived_cl8_033,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl326,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ ( sk_ @ ( j @ X0 ) ) ) )
| ~ ( sorti1 @ ( op1 @ ( sk_ @ ( j @ X0 ) ) @ ( j @ X0 ) ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl290,zip_derived_cl8]) ).
thf(zip_derived_cl327,plain,
! [X0: $i] :
( ~ ( sorti1 @ ( sk_ @ ( j @ X0 ) ) )
| ~ ( sorti1 @ ( j @ X0 ) )
| ( sorti2 @ ( h @ ( sk_ @ ( j @ X0 ) ) ) )
| ~ ( sorti2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl326]) ).
thf(zip_derived_cl4_034,plain,
! [X0: $i] :
( ( sorti1 @ ( sk_ @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl393,plain,
! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( sorti2 @ ( h @ ( sk_ @ ( j @ X0 ) ) ) )
| ~ ( sorti1 @ ( j @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl327,zip_derived_cl4]) ).
thf(zip_derived_cl8_035,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl394,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ ( sk_ @ ( j @ X0 ) ) ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl393,zip_derived_cl8]) ).
thf(zip_derived_cl27242_036,plain,
( ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ ( op2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) @ sk__1 ) )
= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl27241,zip_derived_cl5]) ).
thf(zip_derived_cl11_037,plain,
! [X6: $i] :
( ( ( h @ ( j @ X6 ) )
= X6 )
| ~ ( sorti2 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl70_038,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ( ( h @ ( op1 @ X1 @ ( j @ X0 ) ) )
= ( op2 @ ( h @ X1 ) @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl8]) ).
thf(zip_derived_cl100_039,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( op1 @ ( j @ X0 ) @ X1 ) )
= ( op2 @ X0 @ ( h @ X1 ) ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl8]) ).
thf(zip_derived_cl9_040,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_cl93_041,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl8]) ).
thf(zip_derived_cl94,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_cl9,zip_derived_cl93]) ).
thf(zip_derived_cl7_042,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_cl94,zip_derived_cl7]) ).
thf(zip_derived_cl7_043,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_cl7]) ).
thf(zip_derived_cl316,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti1 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X1 @ ( h @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl100,zip_derived_cl311]) ).
thf(zip_derived_cl322,plain,
! [X0: $i,X1: $i] :
( ( sorti1 @ ( j @ ( op2 @ X1 @ ( h @ X0 ) ) ) )
| ~ ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl316]) ).
thf(zip_derived_cl8_044,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl444,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X1 @ ( h @ X0 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl322,zip_derived_cl8]) ).
thf(zip_derived_cl451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X2 )
| ~ ( sorti1 @ ( op1 @ X1 @ ( j @ X0 ) ) )
| ( sorti1 @ ( j @ ( op2 @ X2 @ ( op2 @ ( h @ X1 ) @ X0 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl444]) ).
thf(zip_derived_cl215_045,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ ( j @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl7]) ).
thf(zip_derived_cl14040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sorti1 @ ( j @ ( op2 @ X2 @ ( op2 @ ( h @ X1 ) @ X0 ) ) ) )
| ~ ( sorti2 @ X2 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl451,zip_derived_cl215]) ).
thf(zip_derived_cl14109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ ( op2 @ X2 @ ( op2 @ X0 @ X1 ) ) ) )
| ~ ( sorti2 @ X2 )
| ~ ( sorti1 @ ( j @ X0 ) )
| ~ ( sorti2 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl14040]) ).
thf(zip_derived_cl8_046,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X2 )
| ( sorti1 @ ( j @ ( op2 @ X2 @ ( op2 @ X0 @ X1 ) ) ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl14109,zip_derived_cl8]) ).
thf(zip_derived_cl28274,plain,
( ~ ( sorti2 @ sk__1 )
| ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) )
| ( sorti1 @ ( j @ sk__1 ) )
| ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27242,zip_derived_cl14318]) ).
thf(zip_derived_cl5_047,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl28308,plain,
( ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) )
| ( sorti1 @ ( j @ sk__1 ) )
| ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28274,zip_derived_cl5]) ).
thf(zip_derived_cl28309,plain,
( ( sorti1 @ ( j @ sk__1 ) )
| ~ ( sorti2 @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28308]) ).
thf(zip_derived_cl28318,plain,
( ~ ( sorti2 @ sk__1 )
| ( sorti1 @ ( j @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl28309]) ).
thf(zip_derived_cl5_048,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl28319,plain,
sorti1 @ ( j @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl28318,zip_derived_cl5]) ).
thf(zip_derived_cl30019,plain,
( ( j @ sk__1 )
= ( op1 @ ( j @ ( h @ ( sk_ @ ( j @ sk__1 ) ) ) ) @ ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( j @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30018,zip_derived_cl28319]) ).
thf(zip_derived_cl30096,plain,
( ~ ( sorti1 @ ( sk_ @ ( j @ sk__1 ) ) )
| ( ( j @ sk__1 )
= ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( j @ sk__1 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl30019]) ).
thf(zip_derived_cl30727,plain,
( ~ ( sorti1 @ ( j @ sk__1 ) )
| ( ( j @ sk__1 )
= ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( j @ sk__1 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl30096]) ).
thf(zip_derived_cl28319_049,plain,
sorti1 @ ( j @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl28318,zip_derived_cl5]) ).
thf(zip_derived_cl30728,plain,
( ( j @ sk__1 )
= ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( op1 @ ( sk_ @ ( j @ sk__1 ) ) @ ( j @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30727,zip_derived_cl28319]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( ( op1 @ ( sk_ @ X0 ) @ ( op1 @ ( sk_ @ X0 ) @ X0 ) )
!= X0 )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl32307,plain,
( ( ( j @ sk__1 )
!= ( j @ sk__1 ) )
| ~ ( sorti1 @ ( j @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30728,zip_derived_cl3]) ).
thf(zip_derived_cl28319_050,plain,
sorti1 @ ( j @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl28318,zip_derived_cl5]) ).
thf(zip_derived_cl32322,plain,
( ( j @ sk__1 )
!= ( j @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl32307,zip_derived_cl28319]) ).
thf(zip_derived_cl32323,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl32322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG071+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LyaFPQIteo true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 03:29:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 76.22/11.60 % Solved by fo/fo6_bce.sh.
% 76.22/11.60 % BCE start: 13
% 76.22/11.60 % BCE eliminated: 0
% 76.22/11.60 % PE start: 13
% 76.22/11.60 logic: eq
% 76.22/11.60 % PE eliminated: 0
% 76.22/11.60 % done 1154 iterations in 10.877s
% 76.22/11.60 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 76.22/11.60 % SZS output start Refutation
% See solution above
% 76.22/11.60
% 76.22/11.60
% 76.22/11.60 % Terminating...
% 76.70/11.67 % Runner terminated.
% 76.70/11.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------