TSTP Solution File: ALG020+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG020+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.DCrxdiETFu true
% Computer : n013.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 17:10:07 EDT 2023
% Result : Theorem 1.21s 0.82s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 177 ( 72 unt; 12 typ; 0 def)
% Number of atoms : 462 ( 460 equ; 0 cnn)
% Maximal formula atoms : 72 ( 2 avg)
% Number of connectives : 1308 ( 53 ~; 87 |; 139 &; 958 @)
% ( 0 <=>; 2 =>; 69 <=; 0 <~>)
% Maximal formula depth : 43 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e22_type,type,
e22: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(j_type,type,
j: $i > $i ).
thf(e21_type,type,
e21: $i ).
thf(e23_type,type,
e23: $i ).
thf(e20_type,type,
e20: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(e13_type,type,
e13: $i ).
thf(e12_type,type,
e12: $i ).
thf(e11_type,type,
e11: $i ).
thf(h_type,type,
h: $i > $i ).
thf(e10_type,type,
e10: $i ).
thf(co1,conjecture,
( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 ) ) )
=> ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
& ( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e20 @ e22 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e20 @ e23 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e21 @ e20 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e22 @ e21 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e23 @ e20 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e23 @ e21 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e23 @ e22 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 ) ) )
=> ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
& ( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e20 @ e22 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e20 @ e23 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e21 @ e20 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e22 @ e21 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e23 @ e20 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e23 @ e21 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e23 @ e22 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl62,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118,plain,
( ( ( h @ e12 )
= e22 )
<= ( ( h @ e12 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl78,plain,
( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax4,axiom,
( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ).
thf(zip_derived_cl33,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl60,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl109,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl68,plain,
( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl314,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl43]) ).
thf(zip_derived_cl316,plain,
( ( e21
= ( op2 @ e21 @ e21 ) )
<= ( ( h @ e10 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl109,zip_derived_cl314]) ).
thf(ax5,axiom,
( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ).
thf(zip_derived_cl54,plain,
( ( op2 @ e21 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl351,plain,
( ( e21 = e23 )
<= ( ( h @ e10 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl54]) ).
thf(ax2,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl7,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('0',plain,
( ( h @ e10 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl351,zip_derived_cl7]) ).
thf(zip_derived_cl111,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl314_001,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl43]) ).
thf(zip_derived_cl318,plain,
( ( e23
= ( op2 @ e23 @ e23 ) )
<= ( ( h @ e10 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl111,zip_derived_cl314]) ).
thf(zip_derived_cl44,plain,
( ( op2 @ e23 @ e23 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl325,plain,
( ( e23 = e20 )
<= ( ( h @ e10 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl44]) ).
thf(zip_derived_cl9,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('1',plain,
( ( h @ e10 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl325,zip_derived_cl9]) ).
thf(zip_derived_cl110,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl314_002,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl43]) ).
thf(zip_derived_cl317,plain,
( ( e22
= ( op2 @ e22 @ e22 ) )
<= ( ( h @ e10 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl314]) ).
thf(zip_derived_cl49,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl353,plain,
( ( e22 = e23 )
<= ( ( h @ e10 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl317,zip_derived_cl49]) ).
thf(zip_derived_cl6,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('2',plain,
( ( h @ e10 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl353,zip_derived_cl6]) ).
thf('3',plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf('4',plain,
( ( h @ e10 )
= e20 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
thf(zip_derived_cl356,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl108,'4']) ).
thf(zip_derived_cl639,plain,
( e20
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl33,zip_derived_cl356]) ).
thf(zip_derived_cl642,plain,
( ( e20
= ( op2 @ e22 @ e22 ) )
<= ( ( h @ e12 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl118,zip_derived_cl639]) ).
thf(zip_derived_cl49_003,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl792,plain,
( ( e20 = e23 )
<= ( ( h @ e12 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl642,zip_derived_cl49]) ).
thf(zip_derived_cl9_004,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl793,plain,
( $false
<= ( ( h @ e12 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl792,zip_derived_cl9]) ).
thf(zip_derived_cl116,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( h @ e12 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl74,plain,
( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl466,plain,
( ( h @ e13 )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl37]) ).
thf(zip_derived_cl467,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e11 ) @ e20 ) )
<= ( ( h @ e12 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl466]) ).
thf(zip_derived_cl72,plain,
( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl356_005,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl108,'4']) ).
thf(zip_derived_cl406,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e11 ) @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl39,zip_derived_cl356]) ).
thf(zip_derived_cl481,plain,
( ( ( h @ e13 )
= ( h @ e11 ) )
<= ( ( h @ e12 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl467,zip_derived_cl406]) ).
thf(zip_derived_cl65,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131,plain,
( ( ( j @ e21 )
= e13 )
<= ( ( j @ e21 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl101,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl372,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl101]) ).
thf(zip_derived_cl488,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( ( h @ e12 )
= e20 )
& ( ( j @ e21 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl372]) ).
thf(zip_derived_cl75,plain,
( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl499,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl36]) ).
thf(zip_derived_cl751,plain,
( ( ( h @ e12 )
= ( op2 @ e21 @ ( h @ e13 ) ) )
<= ( ( ( h @ e12 )
= e20 )
& ( ( j @ e21 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl488,zip_derived_cl499]) ).
thf(zip_derived_cl116_006,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( h @ e12 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl481_007,plain,
( ( ( h @ e13 )
= ( h @ e11 ) )
<= ( ( h @ e12 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl467,zip_derived_cl406]) ).
thf(zip_derived_cl488_008,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( ( h @ e12 )
= e20 )
& ( ( j @ e21 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl481,zip_derived_cl372]) ).
thf(zip_derived_cl54_009,plain,
( ( op2 @ e21 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl759,plain,
( ( e20 = e23 )
<= ( ( ( h @ e12 )
= e20 )
& ( ( j @ e21 )
= e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl751,zip_derived_cl116,zip_derived_cl481,zip_derived_cl488,zip_derived_cl54]) ).
thf(zip_derived_cl9_010,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('5',plain,
( ( ( h @ e12 )
!= e20 )
| ( ( j @ e21 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl759,zip_derived_cl9]) ).
thf(zip_derived_cl66,plain,
( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132,plain,
( ( ( j @ e22 )
= e10 )
<= ( ( j @ e22 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl102,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl426,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( j @ e22 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl132,zip_derived_cl102]) ).
thf(zip_derived_cl356_011,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl108,'4']) ).
thf(zip_derived_cl430,plain,
( ( e20 = e22 )
<= ( ( j @ e22 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl356]) ).
thf(zip_derived_cl10,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('6',plain,
( ( j @ e22 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl430,zip_derived_cl10]) ).
thf(zip_derived_cl133,plain,
( ( ( j @ e22 )
= e11 )
<= ( ( j @ e22 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl102_012,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl427,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl133,zip_derived_cl102]) ).
thf(zip_derived_cl73,plain,
( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl356_013,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl108,'4']) ).
thf(zip_derived_cl413,plain,
( e20
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl38,zip_derived_cl356]) ).
thf(zip_derived_cl438,plain,
( ( e20
= ( op2 @ e22 @ e22 ) )
<= ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl427,zip_derived_cl413]) ).
thf(zip_derived_cl49_014,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl676,plain,
( ( e20 = e23 )
<= ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl438,zip_derived_cl49]) ).
thf(zip_derived_cl9_015,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('7',plain,
( ( j @ e22 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl676,zip_derived_cl9]) ).
thf(zip_derived_cl61,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl413_016,plain,
( e20
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl38,zip_derived_cl356]) ).
thf(zip_derived_cl415,plain,
( ( e20
= ( op2 @ e21 @ e21 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl113,zip_derived_cl413]) ).
thf(zip_derived_cl54_017,plain,
( ( op2 @ e21 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl538,plain,
( ( e20 = e23 )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl415,zip_derived_cl54]) ).
thf(zip_derived_cl9_018,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('8',plain,
( ( h @ e11 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl538,zip_derived_cl9]) ).
thf(zip_derived_cl129,plain,
( ( ( j @ e21 )
= e11 )
<= ( ( j @ e21 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl101_019,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl370,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl129,zip_derived_cl101]) ).
thf(zip_derived_cl115,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl377,plain,
( ( e21 = e23 )
<= ( ( ( h @ e11 )
= e23 )
& ( ( j @ e21 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl370,zip_derived_cl115]) ).
thf(zip_derived_cl7_020,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('9',plain,
( ( ( h @ e11 )
!= e23 )
| ( ( j @ e21 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl377,zip_derived_cl7]) ).
thf(zip_derived_cl370_021,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl129,zip_derived_cl101]) ).
thf(zip_derived_cl114,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl376,plain,
( ( e21 = e22 )
<= ( ( ( h @ e11 )
= e22 )
& ( ( j @ e21 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl370,zip_derived_cl114]) ).
thf(zip_derived_cl8,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('10',plain,
( ( ( h @ e11 )
!= e22 )
| ( ( j @ e21 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl376,zip_derived_cl8]) ).
thf(zip_derived_cl370_022,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl129,zip_derived_cl101]) ).
thf(zip_derived_cl112,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl375,plain,
( ( e21 = e20 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl370,zip_derived_cl112]) ).
thf(zip_derived_cl11,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('11',plain,
( ( ( j @ e21 )
!= e11 )
| ( ( h @ e11 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl375,zip_derived_cl11]) ).
thf('12',plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl128,plain,
( ( ( j @ e21 )
= e10 )
<= ( ( j @ e21 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl101_023,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl369,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( j @ e21 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl101]) ).
thf(zip_derived_cl356_024,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl108,'4']) ).
thf(zip_derived_cl373,plain,
( ( e20 = e21 )
<= ( ( j @ e21 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl356]) ).
thf(zip_derived_cl11_025,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('13',plain,
( ( j @ e21 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl373,zip_derived_cl11]) ).
thf(zip_derived_cl117,plain,
( ( ( h @ e12 )
= e21 )
<= ( ( h @ e12 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl639_026,plain,
( e20
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl33,zip_derived_cl356]) ).
thf(zip_derived_cl641,plain,
( ( e20
= ( op2 @ e21 @ e21 ) )
<= ( ( h @ e12 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl117,zip_derived_cl639]) ).
thf(zip_derived_cl54_027,plain,
( ( op2 @ e21 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl790,plain,
( ( e20 = e23 )
<= ( ( h @ e12 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl641,zip_derived_cl54]) ).
thf(zip_derived_cl9_028,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('14',plain,
( ( h @ e12 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl790,zip_derived_cl9]) ).
thf(zip_derived_cl130,plain,
( ( ( j @ e21 )
= e12 )
<= ( ( j @ e21 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl101_029,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl371,plain,
( ( ( h @ e12 )
= e21 )
<= ( ( j @ e21 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl101]) ).
thf(zip_derived_cl119,plain,
( ( ( h @ e12 )
= e23 )
<= ( ( h @ e12 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl391,plain,
( ( e21 = e23 )
<= ( ( ( h @ e12 )
= e23 )
& ( ( j @ e21 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl371,zip_derived_cl119]) ).
thf(zip_derived_cl7_030,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('15',plain,
( ( ( h @ e12 )
!= e23 )
| ( ( j @ e21 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl391,zip_derived_cl7]) ).
thf(zip_derived_cl371_031,plain,
( ( ( h @ e12 )
= e21 )
<= ( ( j @ e21 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl101]) ).
thf(zip_derived_cl118_032,plain,
( ( ( h @ e12 )
= e22 )
<= ( ( h @ e12 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl390,plain,
( ( e21 = e22 )
<= ( ( ( h @ e12 )
= e22 )
& ( ( j @ e21 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl371,zip_derived_cl118]) ).
thf(zip_derived_cl8_033,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('16',plain,
( ( ( j @ e21 )
!= e12 )
| ( ( h @ e12 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl390,zip_derived_cl8]) ).
thf(zip_derived_cl371_034,plain,
( ( ( h @ e12 )
= e21 )
<= ( ( j @ e21 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl101]) ).
thf(zip_derived_cl116_035,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( h @ e12 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl389,plain,
( ( e21 = e20 )
<= ( ( ( h @ e12 )
= e20 )
& ( ( j @ e21 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl371,zip_derived_cl116]) ).
thf(zip_derived_cl11_036,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('17',plain,
( ( ( h @ e12 )
!= e20 )
| ( ( j @ e21 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl389,zip_derived_cl11]) ).
thf('18',plain,
( ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl135,plain,
( ( ( j @ e22 )
= e13 )
<= ( ( j @ e22 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl102_037,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl429,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( j @ e22 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl135,zip_derived_cl102]) ).
thf(zip_derived_cl372_038,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl101]) ).
thf(zip_derived_cl459,plain,
( ( e22 = e21 )
<= ( ( ( j @ e21 )
= e13 )
& ( ( j @ e22 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl429,zip_derived_cl372]) ).
thf(zip_derived_cl8_039,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('19',plain,
( ( ( j @ e22 )
!= e13 )
| ( ( j @ e21 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl459,zip_derived_cl8]) ).
thf('20',plain,
( ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl134,plain,
( ( ( j @ e22 )
= e12 )
<= ( ( j @ e22 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl102_040,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl428,plain,
( ( ( h @ e12 )
= e22 )
<= ( ( j @ e22 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl134,zip_derived_cl102]) ).
thf(zip_derived_cl119_041,plain,
( ( ( h @ e12 )
= e23 )
<= ( ( h @ e12 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl447,plain,
( ( e22 = e23 )
<= ( ( ( h @ e12 )
= e23 )
& ( ( j @ e22 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl119]) ).
thf(zip_derived_cl6_042,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('21',plain,
( ( ( h @ e12 )
!= e23 )
| ( ( j @ e22 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl447,zip_derived_cl6]) ).
thf('22',plain,
( ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf('23',plain,
( ( h @ e12 )
= e22 ),
inference('sat_resolution*',[status(thm)],['5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22']) ).
thf(zip_derived_cl829,plain,
$false,
inference(simpl_trail,[status(thm)],[zip_derived_cl793,'23']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG020+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DCrxdiETFu true
% 0.13/0.34 % Computer : n013.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 04:43:17 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
% 0.21/0.61 % Total configuration time : 435
% 0.21/0.61 % Estimated wc time : 1092
% 0.21/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.21/0.82 % Solved by fo/fo1_av.sh.
% 1.21/0.82 % done 336 iterations in 0.058s
% 1.21/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.21/0.82 % SZS output start Refutation
% See solution above
% 1.21/0.82
% 1.21/0.82
% 1.21/0.82 % Terminating...
% 1.97/0.93 % Runner terminated.
% 1.97/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------