%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG088+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.pEHlMIBWGw true
% Computer : n012.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 0.58s 0.86s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 182 ( 92 unt; 0 typ; 0 def)
% Number of atoms : 578 ( 573 equ; 0 cnn)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1820 ( 51 ~; 116 |; 205 &;1373 @)
% ( 0 <=>; 2 =>; 73 <=; 0 <~>)
% Maximal formula depth : 63 ( 3 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_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_cl172,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl111,plain,
( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
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_cl63,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
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_cl165,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl167,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
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_cl544,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).
thf(zip_derived_cl547,plain,
( ( e22
= ( op2 @ e22 @ e22 ) )
<= ( ( h @ e10 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl544]) ).
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_cl82,plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl557,plain,
( ( e22 = e21 )
<= ( ( h @ e10 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl82]) ).
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_cl15,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('0',plain,
( ( h @ e10 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl557,zip_derived_cl15]) ).
thf(zip_derived_cl169,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl544_001,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).
thf(zip_derived_cl549,plain,
( ( e24
= ( op2 @ e24 @ e24 ) )
<= ( ( h @ e10 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl544]) ).
thf(zip_derived_cl70,plain,
( ( op2 @ e24 @ e24 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl561,plain,
( ( e24 = e21 )
<= ( ( h @ e10 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl549,zip_derived_cl70]) ).
thf(zip_derived_cl13,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('1',plain,
( ( h @ e10 )
!= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl561,zip_derived_cl13]) ).
thf(zip_derived_cl168,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl544_002,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).
thf(zip_derived_cl548,plain,
( ( e23
= ( op2 @ e23 @ e23 ) )
<= ( ( h @ e10 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl544]) ).
thf(zip_derived_cl76,plain,
( ( op2 @ e23 @ e23 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl559,plain,
( ( e23 = e21 )
<= ( ( h @ e10 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl548,zip_derived_cl76]) ).
thf(zip_derived_cl14,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('2',plain,
( ( h @ e10 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl559,zip_derived_cl14]) ).
thf(zip_derived_cl166,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl544_003,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).
thf(zip_derived_cl546,plain,
( ( e21
= ( op2 @ e21 @ e21 ) )
<= ( ( h @ e10 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl544]) ).
thf(zip_derived_cl88,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl621,plain,
( ( e21 = e22 )
<= ( ( h @ e10 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl546,zip_derived_cl88]) ).
thf(zip_derived_cl15_004,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('3',plain,
( ( h @ e10 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl621,zip_derived_cl15]) ).
thf('4',plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 )
| ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf('5',plain,
( ( h @ e10 )
= e20 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).
thf(zip_derived_cl624,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).
thf(zip_derived_cl707,plain,
( e20
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63,zip_derived_cl624]) ).
thf(zip_derived_cl710,plain,
( ( e20
= ( op2 @ e22 @ e22 ) )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl707]) ).
thf(zip_derived_cl82_005,plain,
( ( op2 @ e22 @ e22 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1684,plain,
( ( e20 = e21 )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl710,zip_derived_cl82]) ).
thf(zip_derived_cl19,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('6',plain,
( ( h @ e11 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1684,zip_derived_cl19]) ).
thf(zip_derived_cl171,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl707_006,plain,
( e20
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63,zip_derived_cl624]) ).
thf(zip_derived_cl709,plain,
( ( e20
= ( op2 @ e21 @ e21 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl707]) ).
thf(zip_derived_cl88_007,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1639,plain,
( ( e20 = e22 )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl709,zip_derived_cl88]) ).
thf(zip_derived_cl18,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('7',plain,
( ( h @ e11 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1639,zip_derived_cl18]) ).
thf(zip_derived_cl173,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl707_008,plain,
( e20
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63,zip_derived_cl624]) ).
thf(zip_derived_cl711,plain,
( ( e20
= ( op2 @ e23 @ e23 ) )
<= ( ( h @ e11 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl707]) ).
thf(zip_derived_cl76_009,plain,
( ( op2 @ e23 @ e23 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1686,plain,
( ( e20 = e21 )
<= ( ( h @ e11 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl711,zip_derived_cl76]) ).
thf(zip_derived_cl19_010,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('8',plain,
( ( h @ e11 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1686,zip_derived_cl19]) ).
thf(zip_derived_cl174,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl707_011,plain,
( e20
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63,zip_derived_cl624]) ).
thf(zip_derived_cl712,plain,
( ( e20
= ( op2 @ e24 @ e24 ) )
<= ( ( h @ e11 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl707]) ).
thf(zip_derived_cl70_012,plain,
( ( op2 @ e24 @ e24 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1731,plain,
( ( e20 = e21 )
<= ( ( h @ e11 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl712,zip_derived_cl70]) ).
thf(zip_derived_cl19_013,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('9',plain,
( ( h @ e11 )
!= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1731,zip_derived_cl19]) ).
thf('10',plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e24 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl101,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196,plain,
( ( ( j @ e21 )
= e11 )
<= ( ( j @ e21 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl653,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl156]) ).
thf(zip_derived_cl170,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl659,plain,
( ( e21 = e20 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl653,zip_derived_cl170]) ).
thf(zip_derived_cl19_014,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('11',plain,
( ( ( j @ e21 )
!= e11 )
| ( ( h @ e11 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl659,zip_derived_cl19]) ).
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_cl180,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e13 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl113,plain,
( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
( ( op1 @ e11 @ e13 )
= e14 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl753,plain,
( ( h @ e14 )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).
thf(zip_derived_cl754,plain,
( ( ( h @ e14 )
= ( op2 @ ( h @ e11 ) @ e20 ) )
<= ( ( h @ e13 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl180,zip_derived_cl753]) ).
thf(zip_derived_cl110,plain,
( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl624_015,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).
thf(zip_derived_cl669,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e11 ) @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl64,zip_derived_cl624]) ).
thf(zip_derived_cl770,plain,
( ( ( h @ e14 )
= ( h @ e11 ) )
<= ( ( h @ e13 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl669]) ).
thf(zip_derived_cl770_016,plain,
( ( ( h @ e14 )
= ( h @ e11 ) )
<= ( ( h @ e13 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl669]) ).
thf(zip_derived_cl114,plain,
( ( h @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
( ( op1 @ e11 @ e14 )
= e12 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl829,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).
thf(zip_derived_cl837,plain,
( ( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
<= ( ( h @ e13 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl770,zip_derived_cl829]) ).
thf(zip_derived_cl707_017,plain,
( e20
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63,zip_derived_cl624]) ).
thf(zip_derived_cl851,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( h @ e13 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl837,zip_derived_cl707]) ).
thf(zip_derived_cl112,plain,
( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl722,plain,
( ( h @ e13 )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl62]) ).
thf(zip_derived_cl861,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e11 ) @ e20 ) )
<= ( ( h @ e13 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl851,zip_derived_cl722]) ).
thf(zip_derived_cl180_018,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e13 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl669_019,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e11 ) @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl64,zip_derived_cl624]) ).
thf(zip_derived_cl867,plain,
( ( e20
= ( h @ e11 ) )
<= ( ( h @ e13 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl861,zip_derived_cl180,zip_derived_cl669]) ).
thf(zip_derived_cl930,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( h @ e13 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl770,zip_derived_cl867]) ).
thf(zip_derived_cl199,plain,
( ( ( j @ e21 )
= e14 )
<= ( ( j @ e21 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_020,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl656,plain,
( ( ( h @ e14 )
= e21 )
<= ( ( j @ e21 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl156]) ).
thf(zip_derived_cl1029,plain,
( ( e20 = e21 )
<= ( ( ( h @ e13 )
= e20 )
& ( ( j @ e21 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl930,zip_derived_cl656]) ).
thf(zip_derived_cl19_021,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('12',plain,
( ( ( j @ e21 )
!= e14 )
| ( ( h @ e13 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1029,zip_derived_cl19]) ).
thf(zip_derived_cl195,plain,
( ( ( j @ e21 )
= e10 )
<= ( ( j @ e21 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_022,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl652,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( j @ e21 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl156]) ).
thf(zip_derived_cl624_023,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).
thf(zip_derived_cl657,plain,
( ( e20 = e21 )
<= ( ( j @ e21 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl652,zip_derived_cl624]) ).
thf(zip_derived_cl19_024,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('13',plain,
( ( j @ e21 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl657,zip_derived_cl19]) ).
thf(zip_derived_cl198,plain,
( ( ( j @ e21 )
= e13 )
<= ( ( j @ e21 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_025,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl655,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl156]) ).
thf(zip_derived_cl180_026,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e13 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl687,plain,
( ( e21 = e20 )
<= ( ( ( h @ e13 )
= e20 )
& ( ( j @ e21 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl655,zip_derived_cl180]) ).
thf(zip_derived_cl19_027,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('14',plain,
( ( ( j @ e21 )
!= e13 )
| ( ( h @ e13 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl687,zip_derived_cl19]) ).
thf(zip_derived_cl170_028,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl116,plain,
( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
( ( op1 @ e12 @ e11 )
= e14 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl982,plain,
( ( h @ e14 )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl58]) ).
thf(zip_derived_cl983,plain,
( ( ( h @ e14 )
= ( op2 @ ( h @ e12 ) @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl982]) ).
thf(zip_derived_cl115,plain,
( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl624_029,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).
thf(zip_derived_cl920,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e12 ) @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl59,zip_derived_cl624]) ).
thf(zip_derived_cl1003,plain,
( ( ( h @ e14 )
= ( h @ e12 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl983,zip_derived_cl920]) ).
thf(zip_derived_cl119,plain,
( ( h @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
( ( op1 @ e12 @ e14 )
= e13 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1126,plain,
( ( h @ e13 )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl55]) ).
thf(zip_derived_cl1375,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1003,zip_derived_cl1126]) ).
thf(zip_derived_cl117,plain,
( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl624_030,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).
thf(zip_derived_cl1037,plain,
( e20
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57,zip_derived_cl624]) ).
thf(zip_derived_cl1377,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1375,zip_derived_cl1037]) ).
thf(zip_derived_cl182,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( h @ e13 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl1379,plain,
( ( e20 = e22 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1377,zip_derived_cl182]) ).
thf(zip_derived_cl18_031,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1389,plain,
( $false
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e22 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1379,zip_derived_cl18]) ).
thf('15',plain,
( ( h @ e11 )
= e20 ),
inference('sat_resolution*',[status(thm)],['6','7','8','9','10']) ).
thf('16',plain,
( ( h @ e13 )
!= e22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1389,'15']) ).
thf(zip_derived_cl1377_032,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1375,zip_derived_cl1037]) ).
thf(zip_derived_cl183,plain,
( ( ( h @ e13 )
= e23 )
<= ( ( h @ e13 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl1380,plain,
( ( e20 = e23 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1377,zip_derived_cl183]) ).
thf(zip_derived_cl17,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1390,plain,
( $false
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e23 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1380,zip_derived_cl17]) ).
thf('17',plain,
( ( h @ e11 )
= e20 ),
inference('sat_resolution*',[status(thm)],['6','7','8','9','10']) ).
thf('18',plain,
( ( h @ e13 )
!= e23 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1390,'17']) ).
thf(zip_derived_cl1377_033,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1375,zip_derived_cl1037]) ).
thf(zip_derived_cl181,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( h @ e13 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl1378,plain,
( ( e20 = e21 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1377,zip_derived_cl181]) ).
thf(zip_derived_cl19_034,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1388,plain,
( $false
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e21 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1378,zip_derived_cl19]) ).
thf('19',plain,
( ( h @ e11 )
= e20 ),
inference('sat_resolution*',[status(thm)],['6','7','8','9','10']) ).
thf('20',plain,
( ( h @ e13 )
!= e21 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1388,'19']) ).
thf(zip_derived_cl1377_035,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1375,zip_derived_cl1037]) ).
thf(zip_derived_cl184,plain,
( ( ( h @ e13 )
= e24 )
<= ( ( h @ e13 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl1381,plain,
( ( e20 = e24 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1377,zip_derived_cl184]) ).
thf(zip_derived_cl16,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1391,plain,
( $false
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e24 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1381,zip_derived_cl16]) ).
thf('21',plain,
( ( h @ e11 )
= e20 ),
inference('sat_resolution*',[status(thm)],['6','7','8','9','10']) ).
thf('22',plain,
( ( h @ e13 )
!= e24 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1391,'21']) ).
thf('23',plain,
( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e24 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl851_036,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( h @ e13 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl837,zip_derived_cl707]) ).
thf(zip_derived_cl197,plain,
( ( ( j @ e21 )
= e12 )
<= ( ( j @ e21 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_037,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl654,plain,
( ( ( h @ e12 )
= e21 )
<= ( ( j @ e21 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl156]) ).
thf(zip_derived_cl860,plain,
( ( e20 = e21 )
<= ( ( ( h @ e13 )
= e20 )
& ( ( j @ e21 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl851,zip_derived_cl654]) ).
thf(zip_derived_cl19_038,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('24',plain,
( ( ( j @ e21 )
!= e12 )
| ( ( h @ e13 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl860,zip_derived_cl19]) ).
thf('25',plain,
( ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e14 )
| ( ( j @ e21 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl1768,plain,
$false,
inference('sat_resolution*',[status(thm)],['6','7','8','9','10','11','12','13','14','16','18','20','22','23','24','25']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG088+1 : TPTP v9.2.0. Released v2.7.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pEHlMIBWGw true
% 0.13/0.34 % Computer : n012.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 : Wed Oct 1 17:04:38 EDT 2025
% 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
% 0.50/0.62 % Total configuration time : 435
% 0.50/0.62 % Estimated wc time : 1092
% 0.50/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.86 % Solved by fo/fo1_av.sh.
% 0.58/0.86 % done 574 iterations in 0.105s
% 0.58/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.86 % SZS output start Refutation
% See solution above
% 0.58/0.87
% 0.58/0.87
% 0.58/0.87 % Terminating...
% 0.68/0.97 % Runner terminated.
% 0.68/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------