%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG084+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vxPlLBXPYq true
% Computer : n022.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 04:27:28 PM UTC 2025
% Result : Theorem 1.02s 0.98s
% Output : Refutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 5
% Syntax : Number of formulae : 107 ( 63 unt; 0 typ; 0 def)
% Number of atoms : 474 ( 473 equ; 0 cnn)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 1637 ( 30 ~; 163 |; 202 &;1240 @)
% ( 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_cl162,plain,
( ( j @ ( h @ e12 ) )
= e12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129,plain,
( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax4,axiom,
( ( ( op1 @ e14 @ e14 )
= e12 )
& ( ( op1 @ e14 @ e13 )
= e10 )
& ( ( op1 @ e14 @ e12 )
= e11 )
& ( ( op1 @ e14 @ e11 )
= e13 )
& ( ( op1 @ e14 @ e10 )
= e14 )
& ( ( op1 @ e13 @ e14 )
= e10 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e14 )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e14 )
= e11 )
& ( ( op1 @ e12 @ e13 )
= e14 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e14 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e11 )
= e14 )
& ( ( 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_cl45,plain,
( ( op1 @ e14 @ e14 )
= e12 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl189,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl45]) ).
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,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl171,plain,
( ( h @ e14 )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).
thf(zip_derived_cl98,plain,
( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl123,plain,
( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
( ( op1 @ e13 @ e13 )
= e11 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl183,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl51]) ).
thf(zip_derived_cl275,plain,
( ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e11 )
= ( op2 @ e24 @ e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl98,zip_derived_cl183]) ).
thf(ax5,axiom,
( ( ( op2 @ e24 @ e24 )
= e21 )
& ( ( op2 @ e24 @ e23 )
= e22 )
& ( ( op2 @ e24 @ e22 )
= e20 )
& ( ( op2 @ e24 @ e21 )
= e23 )
& ( ( op2 @ e24 @ e20 )
= e24 )
& ( ( op2 @ e23 @ e24 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e24 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e24 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
= e24 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e24 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e24 )
& ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( 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 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl283,plain,
( ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e11 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl275,zip_derived_cl70]) ).
thf(zip_derived_cl183_001,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl51]) ).
thf(zip_derived_cl635,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e11 )
= ( op2 @ e23 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl283,zip_derived_cl183]) ).
thf(zip_derived_cl76,plain,
( ( op2 @ e23 @ e23 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl647,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e11 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl635,zip_derived_cl76]) ).
thf(zip_derived_cl648,plain,
( ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e11 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl647]) ).
thf(zip_derived_cl183_002,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl51]) ).
thf(zip_derived_cl660,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e11 )
= ( op2 @ e22 @ e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl648,zip_derived_cl183]) ).
thf(zip_derived_cl82,plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl671,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e11 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl660,zip_derived_cl82]) ).
thf(zip_derived_cl672,plain,
( ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e11 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl671]) ).
thf(zip_derived_cl183_003,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl51]) ).
thf(zip_derived_cl684,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e11 )
= ( op2 @ e21 @ e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl672,zip_derived_cl183]) ).
thf(zip_derived_cl88,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl693,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e11 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl684,zip_derived_cl88]) ).
thf(zip_derived_cl163,plain,
( ( j @ ( h @ e13 ) )
= e13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl713,plain,
( ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 )
| ( ( j @ e20 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl693,zip_derived_cl163]) ).
thf(zip_derived_cl160,plain,
( ( j @ ( h @ e10 ) )
= e10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl105,plain,
( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl69,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl165,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).
thf(zip_derived_cl220,plain,
( ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( e24
= ( op2 @ e24 @ e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl165]) ).
thf(zip_derived_cl70_004,plain,
( ( op2 @ e24 @ e24 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl222,plain,
( ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( e24 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl70]) ).
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_cl13,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl223,plain,
( ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl222,zip_derived_cl13]) ).
thf(zip_derived_cl165_005,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).
thf(zip_derived_cl322,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( e23
= ( op2 @ e23 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl223,zip_derived_cl165]) ).
thf(zip_derived_cl76_006,plain,
( ( op2 @ e23 @ e23 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl335,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( e23 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl76]) ).
thf(zip_derived_cl14,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl336,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl335,zip_derived_cl14]) ).
thf(zip_derived_cl165_007,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).
thf(zip_derived_cl340,plain,
( ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( e22
= ( op2 @ e22 @ e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl336,zip_derived_cl165]) ).
thf(zip_derived_cl82_008,plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl352,plain,
( ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( e22 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl82]) ).
thf(zip_derived_cl15,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl353,plain,
( ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl352,zip_derived_cl15]) ).
thf(zip_derived_cl160_009,plain,
( ( j @ ( h @ e10 ) )
= e10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl356,plain,
( ( ( h @ e10 )
= e20 )
| ( ( j @ e21 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl353,zip_derived_cl160]) ).
thf(zip_derived_cl136,plain,
( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88_010,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl196,plain,
( ( j @ e22 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl88]) ).
thf(zip_derived_cl372,plain,
( ( ( h @ e10 )
= e20 )
| ( ( j @ e22 )
= ( op1 @ e10 @ e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl356,zip_derived_cl196]) ).
thf(zip_derived_cl69_011,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl380,plain,
( ( ( h @ e10 )
= e20 )
| ( ( j @ e22 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl69]) ).
thf(zip_derived_cl157,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl382,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl380,zip_derived_cl157]) ).
thf(zip_derived_cl165_012,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).
thf(zip_derived_cl415,plain,
( ( ( h @ e10 )
= e20 )
| ( e22
= ( op2 @ e22 @ e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl165]) ).
thf(zip_derived_cl82_013,plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl427,plain,
( ( ( h @ e10 )
= e20 )
| ( e22 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl415,zip_derived_cl82]) ).
thf(zip_derived_cl15_014,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl428,plain,
( ( h @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl427,zip_derived_cl15]) ).
thf(zip_derived_cl432,plain,
( ( j @ e20 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl428]) ).
thf(zip_derived_cl728,plain,
( ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 )
| ( e10 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl713,zip_derived_cl432]) ).
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_cl7,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl729,plain,
( ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl728,zip_derived_cl7]) ).
thf(zip_derived_cl161,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl740,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl161]) ).
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_015,plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl202,plain,
( ( j @ e21 )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl82]) ).
thf(zip_derived_cl759,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e21 )
= ( op1 @ e11 @ e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl740,zip_derived_cl202]) ).
thf(zip_derived_cl63_016,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl768,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e21 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl759,zip_derived_cl63]) ).
thf(zip_derived_cl196_017,plain,
( ( j @ e22 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl88]) ).
thf(zip_derived_cl786,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e22 )
= ( op1 @ e14 @ e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl768,zip_derived_cl196]) ).
thf(zip_derived_cl45_018,plain,
( ( op1 @ e14 @ e14 )
= e12 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl797,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e22 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl45]) ).
thf(zip_derived_cl740_019,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl161]) ).
thf(zip_derived_cl835,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e21 )
| ( e12 = e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl797,zip_derived_cl740]) ).
thf(zip_derived_cl839,plain,
( ( e12 = e11 )
| ( ( h @ e11 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl835]) ).
thf(zip_derived_cl5,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl840,plain,
( ( h @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl839,zip_derived_cl5]) ).
thf(zip_derived_cl840_020,plain,
( ( h @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl839,zip_derived_cl5]) ).
thf(zip_derived_cl88_021,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl842,plain,
( ( h @ e14 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl840,zip_derived_cl840,zip_derived_cl88]) ).
thf(zip_derived_cl842_022,plain,
( ( h @ e14 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl840,zip_derived_cl840,zip_derived_cl88]) ).
thf(zip_derived_cl82_023,plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl875,plain,
( ( h @ e12 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl842,zip_derived_cl842,zip_derived_cl82]) ).
thf(zip_derived_cl161_024,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl840_025,plain,
( ( h @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl839,zip_derived_cl5]) ).
thf(zip_derived_cl841,plain,
( ( j @ e21 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl840]) ).
thf(zip_derived_cl891,plain,
e11 = e12,
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl875,zip_derived_cl841]) ).
thf(zip_derived_cl5_026,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl892,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl891,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ALG084+1 : TPTP v9.2.0. Released v2.7.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vxPlLBXPYq true
% 0.08/0.35 % Computer : n022.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8042.1875MB
% 0.08/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Oct 1 17:04:23 EDT 2025
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Running portfolio for 300 s
% 0.08/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Number of cores: 8
% 0.08/0.35 % Python version: Python 3.6.8
% 0.08/0.35 % Running in FO mode
% 0.41/0.58 % Total configuration time : 435
% 0.41/0.58 % Estimated wc time : 1092
% 0.41/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.74/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.74/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.00/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.00/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.00/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.00/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.00/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.98 % Solved by fo/fo13.sh.
% 1.02/0.98 % done 257 iterations in 0.191s
% 1.02/0.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.02/0.98 % SZS output start Refutation
% See solution above
% 1.02/0.98
% 1.02/0.98
% 1.02/0.98 % Terminating...
% 2.66/1.20 % Runner terminated.
% 2.66/1.22 % Zipperpin 1.5 exiting
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