%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG087+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XfBd8hlcTQ true
% Computer : n025.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 : Thu Oct 2 04:27:29 PM UTC 2025
% Result : Theorem 0.51s 0.92s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of formulae : 126 ( 68 unt; 0 typ; 0 def)
% Number of atoms : 541 ( 540 equ; 0 cnn)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 1729 ( 36 ~; 211 |; 202 &;1278 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e21_type,type,
e21: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(e20_type,type,
e20: $i ).
thf(e22_type,type,
e22: $i ).
thf(j_type,type,
j: $i > $i ).
thf(e14_type,type,
e14: $i ).
thf(e24_type,type,
e24: $i ).
thf(e13_type,type,
e13: $i ).
thf(h_type,type,
h: $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e11_type,type,
e11: $i ).
thf(e10_type,type,
e10: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(e23_type,type,
e23: $i ).
thf(co1,conjecture,
( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) )
& ( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) )
& ( ( ( j @ e24 )
= e10 )
| ( ( j @ e24 )
= e11 )
| ( ( j @ e24 )
= e12 )
| ( ( j @ e24 )
= e13 )
| ( ( j @ e24 )
= e14 ) ) )
=> ~ ( ( ( 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 @ e10 @ e14 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
& ( ( 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 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
& ( ( 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 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
& ( ( 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 ) ) )
& ( ( h @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
& ( ( 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 @ e20 @ e24 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
& ( ( 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 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
& ( ( 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 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
& ( ( 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 ) ) )
& ( ( j @ ( op2 @ e23 @ e24 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e24 @ e20 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e24 @ e21 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e24 @ e22 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e24 @ e23 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( h @ ( j @ e24 ) )
= e24 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 )
& ( ( j @ ( h @ e14 ) )
= e14 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) )
& ( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) )
& ( ( ( j @ e24 )
= e10 )
| ( ( j @ e24 )
= e11 )
| ( ( j @ e24 )
= e12 )
| ( ( j @ e24 )
= e13 )
| ( ( j @ e24 )
= e14 ) ) )
=> ~ ( ( ( 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 @ e10 @ e14 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
& ( ( 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 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
& ( ( 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 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
& ( ( 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 ) ) )
& ( ( h @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
& ( ( 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 @ e20 @ e24 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
& ( ( 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 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
& ( ( 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 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
& ( ( 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 ) ) )
& ( ( j @ ( op2 @ e23 @ e24 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e24 @ e20 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e24 @ e21 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e24 @ e22 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e24 @ e23 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( h @ ( j @ e24 ) )
= e24 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 )
& ( ( j @ ( h @ e14 ) )
= e14 ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl161,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl117,plain,
( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax4,axiom,
( ( ( op1 @ e14 @ e14 )
= e10 )
& ( ( op1 @ e14 @ e13 )
= e12 )
& ( ( op1 @ e14 @ e12 )
= e11 )
& ( ( op1 @ e14 @ e11 )
= e13 )
& ( ( op1 @ e14 @ e10 )
= e14 )
& ( ( op1 @ e13 @ e14 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e14 )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e14 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e14 )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e14 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e14 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e14 )
= e14 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ).
thf(zip_derived_cl57,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl177,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57]) ).
thf(zip_derived_cl254,plain,
( ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 )
| ( ( h @ e10 )
= ( op2 @ e24 @ e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl177]) ).
thf(ax5,axiom,
( ( ( op2 @ e24 @ e24 )
= e22 )
& ( ( op2 @ e24 @ e23 )
= e21 )
& ( ( op2 @ e24 @ e22 )
= e20 )
& ( ( op2 @ e24 @ e21 )
= e23 )
& ( ( op2 @ e24 @ e20 )
= e24 )
& ( ( op2 @ e23 @ e24 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e24 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e24 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e24 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e24 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e24 )
& ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e24 )
= e24 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ).
thf(zip_derived_cl70,plain,
( ( op2 @ e24 @ e24 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl263,plain,
( ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 )
| ( ( h @ e10 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl70]) ).
thf(zip_derived_cl155,plain,
( ( h @ ( j @ e20 ) )
= e20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130,plain,
( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl190,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl303,plain,
( ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 )
| ( e14
= ( op1 @ e14 @ e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl100,zip_derived_cl190]) ).
thf(zip_derived_cl45,plain,
( ( op1 @ e14 @ e14 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl317,plain,
( ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 )
| ( e14 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl45]) ).
thf(ax1,axiom,
( ( e13 != e14 )
& ( e12 != e14 )
& ( e12 != e13 )
& ( e11 != e14 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e14 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl6,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl318,plain,
( ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl317,zip_derived_cl6]) ).
thf(zip_derived_cl190_001,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl336,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( e13
= ( op1 @ e13 @ e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl318,zip_derived_cl190]) ).
thf(zip_derived_cl51,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl349,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( e13 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl51]) ).
thf(zip_derived_cl7,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl350,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl349,zip_derived_cl7]) ).
thf(zip_derived_cl190_002,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl354,plain,
( ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 )
| ( e12
= ( op1 @ e12 @ e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl350,zip_derived_cl190]) ).
thf(zip_derived_cl57_003,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl366,plain,
( ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 )
| ( e12 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl57]) ).
thf(zip_derived_cl8,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl367,plain,
( ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl366,zip_derived_cl8]) ).
thf(zip_derived_cl190_004,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl371,plain,
( ( ( j @ e20 )
= e10 )
| ( e11
= ( op1 @ e11 @ e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl190]) ).
thf(zip_derived_cl63,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl382,plain,
( ( ( j @ e20 )
= e10 )
| ( e11 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl371,zip_derived_cl63]) ).
thf(zip_derived_cl9,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl383,plain,
( ( j @ e20 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl382,zip_derived_cl9]) ).
thf(zip_derived_cl386,plain,
( ( h @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl383]) ).
thf(zip_derived_cl702,plain,
( ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 )
| ( e20 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl263,zip_derived_cl386]) ).
thf(ax2,axiom,
( ( e23 != e24 )
& ( e22 != e24 )
& ( e22 != e23 )
& ( e21 != e24 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e24 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl18,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl703,plain,
( ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl702,zip_derived_cl18]) ).
thf(zip_derived_cl162,plain,
( ( j @ ( h @ e12 ) )
= e12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl704,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( j @ e23 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl703,zip_derived_cl162]) ).
thf(zip_derived_cl148,plain,
( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
( ( op2 @ e23 @ e23 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl208,plain,
( ( j @ e24 )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl76]) ).
thf(zip_derived_cl727,plain,
( ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 )
| ( ( j @ e24 )
= ( op1 @ e12 @ e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl704,zip_derived_cl208]) ).
thf(zip_derived_cl57_005,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl737,plain,
( ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 )
| ( ( j @ e24 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl727,zip_derived_cl57]) ).
thf(zip_derived_cl159,plain,
( ( h @ ( j @ e24 ) )
= e24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl742,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e10 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl159]) ).
thf(zip_derived_cl386_006,plain,
( ( h @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl383]) ).
thf(zip_derived_cl756,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( e20 = e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl742,zip_derived_cl386]) ).
thf(zip_derived_cl16,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl757,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl756,zip_derived_cl16]) ).
thf(zip_derived_cl162_007,plain,
( ( j @ ( h @ e12 ) )
= e12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl764,plain,
( ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 )
| ( ( j @ e22 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl757,zip_derived_cl162]) ).
thf(zip_derived_cl142,plain,
( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl202,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl82]) ).
thf(zip_derived_cl785,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( j @ e23 )
= ( op1 @ e12 @ e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl764,zip_derived_cl202]) ).
thf(zip_derived_cl57_008,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl796,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( j @ e23 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl57]) ).
thf(zip_derived_cl158,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl801,plain,
( ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 )
| ( ( h @ e10 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl796,zip_derived_cl158]) ).
thf(zip_derived_cl386_009,plain,
( ( h @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl383]) ).
thf(zip_derived_cl815,plain,
( ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 )
| ( e20 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl801,zip_derived_cl386]) ).
thf(zip_derived_cl17,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl816,plain,
( ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl815,zip_derived_cl17]) ).
thf(zip_derived_cl162_010,plain,
( ( j @ ( h @ e12 ) )
= e12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl825,plain,
( ( ( h @ e12 )
= e20 )
| ( ( j @ e21 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl816,zip_derived_cl162]) ).
thf(zip_derived_cl96,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111,plain,
( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63_011,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl171,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).
thf(zip_derived_cl234,plain,
( ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 )
| ( ( h @ e10 )
= ( op2 @ e24 @ e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl171]) ).
thf(zip_derived_cl70_012,plain,
( ( op2 @ e24 @ e24 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl242,plain,
( ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 )
| ( ( h @ e10 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl234,zip_derived_cl70]) ).
thf(zip_derived_cl386_013,plain,
( ( h @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl383]) ).
thf(zip_derived_cl517,plain,
( ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 )
| ( e20 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl386]) ).
thf(zip_derived_cl18_014,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl518,plain,
( ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl517,zip_derived_cl18]) ).
thf(zip_derived_cl161_015,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl519,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( j @ e23 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl161]) ).
thf(zip_derived_cl208_016,plain,
( ( j @ e24 )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl76]) ).
thf(zip_derived_cl538,plain,
( ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 )
| ( ( j @ e24 )
= ( op1 @ e11 @ e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl208]) ).
thf(zip_derived_cl63_017,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl546,plain,
( ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 )
| ( ( j @ e24 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl538,zip_derived_cl63]) ).
thf(zip_derived_cl159_018,plain,
( ( h @ ( j @ e24 ) )
= e24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl549,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e10 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl546,zip_derived_cl159]) ).
thf(zip_derived_cl386_019,plain,
( ( h @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl383]) ).
thf(zip_derived_cl561,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( e20 = e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl549,zip_derived_cl386]) ).
thf(zip_derived_cl16_020,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl562,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl561,zip_derived_cl16]) ).
thf(zip_derived_cl161_021,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl567,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 )
| ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl562,zip_derived_cl161]) ).
thf(zip_derived_cl202_022,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl82]) ).
thf(zip_derived_cl584,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( j @ e23 )
= ( op1 @ e11 @ e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl567,zip_derived_cl202]) ).
thf(zip_derived_cl63_023,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl593,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( j @ e23 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl63]) ).
thf(zip_derived_cl158_024,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl596,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 )
| ( ( h @ e10 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl593,zip_derived_cl158]) ).
thf(zip_derived_cl386_025,plain,
( ( h @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl383]) ).
thf(zip_derived_cl608,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 )
| ( e20 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl596,zip_derived_cl386]) ).
thf(zip_derived_cl17_026,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl609,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl608,zip_derived_cl17]) ).
thf(zip_derived_cl161_027,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl614,plain,
( ( ( h @ e11 )
= e20 )
| ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl609,zip_derived_cl161]) ).
thf(zip_derived_cl854,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e11 )
= e20 )
| ( e12 = e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl825,zip_derived_cl614]) ).
thf(zip_derived_cl5,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl856,plain,
( ( ( h @ e12 )
= e20 )
| ( ( h @ e11 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl854,zip_derived_cl5]) ).
thf(zip_derived_cl162_028,plain,
( ( j @ ( h @ e12 ) )
= e12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl857,plain,
( ( ( h @ e11 )
= e20 )
| ( ( j @ e20 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl856,zip_derived_cl162]) ).
thf(zip_derived_cl383_029,plain,
( ( j @ e20 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl382,zip_derived_cl9]) ).
thf(zip_derived_cl871,plain,
( ( ( h @ e11 )
= e20 )
| ( e10 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl857,zip_derived_cl383]) ).
thf(zip_derived_cl8_030,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl872,plain,
( ( h @ e11 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl871,zip_derived_cl8]) ).
thf(zip_derived_cl383_031,plain,
( ( j @ e20 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl382,zip_derived_cl9]) ).
thf(zip_derived_cl881,plain,
e10 = e11,
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl872,zip_derived_cl383]) ).
thf(zip_derived_cl9_032,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl882,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl881,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ALG087+1 : TPTP v9.2.0. Released v2.7.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XfBd8hlcTQ true
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 16:59:53 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.32 % Running in FO mode
% 0.45/0.58 % Total configuration time : 435
% 0.45/0.58 % Estimated wc time : 1092
% 0.45/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.92 % Solved by fo/fo13.sh.
% 0.51/0.92 % done 264 iterations in 0.179s
% 0.51/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.92 % SZS output start Refutation
% See solution above
% 0.51/0.92
% 0.51/0.92
% 0.51/0.92 % Terminating...
% 1.85/0.99 % Runner terminated.
% 1.85/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------