TSTP Solution File: ALG089+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG089+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LAuFrF53eC true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:10:26 EDT 2023
% Result : Theorem 1.92s 0.90s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 188 ( 104 unt; 14 typ; 0 def)
% Number of atoms : 540 ( 539 equ; 0 cnn)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1782 ( 48 ~; 104 |; 202 &;1368 @)
% ( 0 <=>; 2 =>; 58 <=; 0 <~>)
% Maximal formula depth : 63 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 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_cl156,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl144,plain,
( ( j @ ( op2 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax5,axiom,
( ( ( op2 @ e24 @ e24 )
= e20 )
& ( ( op2 @ e24 @ e23 )
= e22 )
& ( ( op2 @ e24 @ e22 )
= e21 )
& ( ( op2 @ e24 @ e21 )
= e23 )
& ( ( op2 @ e24 @ e20 )
= e24 )
& ( ( op2 @ e23 @ e24 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e21 )
= e24 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e24 )
= e21 )
& ( ( op2 @ e22 @ e23 )
= e24 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e24 )
= e23 )
& ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e22 )
= e24 )
& ( ( 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_cl80,plain,
( ( op2 @ e22 @ e24 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl143,plain,
( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
( ( op2 @ e22 @ e23 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
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_cl199,plain,
( ( ( j @ e21 )
= e14 )
<= ( ( j @ e21 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
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,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1827,plain,
( ( j @ e22 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl88]) ).
thf(zip_derived_cl1829,plain,
( ( ( j @ e22 )
= ( op1 @ e14 @ e14 ) )
<= ( ( j @ e21 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl1827]) ).
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_cl45,plain,
( ( op1 @ e14 @ e14 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1833,plain,
( ( ( j @ e22 )
= e10 )
<= ( ( j @ e21 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1829,zip_derived_cl45]) ).
thf(zip_derived_cl137,plain,
( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87,plain,
( ( op2 @ e21 @ e22 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1852,plain,
( ( j @ e24 )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).
thf(zip_derived_cl1859,plain,
( ( ( j @ e24 )
= ( op1 @ ( j @ e21 ) @ e10 ) )
<= ( ( j @ e21 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1833,zip_derived_cl1852]) ).
thf(zip_derived_cl199_001,plain,
( ( ( j @ e21 )
= e14 )
<= ( ( j @ e21 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl49,plain,
( ( op1 @ e14 @ e10 )
= e14 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1864,plain,
( ( ( j @ e24 )
= e14 )
<= ( ( j @ e21 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1859,zip_derived_cl199,zip_derived_cl49]) ).
thf(zip_derived_cl139,plain,
( ( j @ ( op2 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85,plain,
( ( op2 @ e21 @ e24 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1900,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl85]) ).
thf(zip_derived_cl1908,plain,
( ( ( j @ e23 )
= ( op1 @ ( j @ e21 ) @ e14 ) )
<= ( ( j @ e21 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1864,zip_derived_cl1900]) ).
thf(zip_derived_cl199_002,plain,
( ( ( j @ e21 )
= e14 )
<= ( ( j @ e21 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl45_003,plain,
( ( op1 @ e14 @ e14 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1914,plain,
( ( ( j @ e23 )
= e10 )
<= ( ( j @ e21 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1908,zip_derived_cl199,zip_derived_cl45]) ).
thf(zip_derived_cl196,plain,
( ( ( j @ e21 )
= e11 )
<= ( ( j @ e21 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_004,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl652,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl156]) ).
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 )
= 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_cl166,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
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_cl546,plain,
( ( e21
= ( op2 @ e21 @ e21 ) )
<= ( ( h @ e10 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl544]) ).
thf(zip_derived_cl88_005,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl619,plain,
( ( e21 = e22 )
<= ( ( h @ e10 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl546,zip_derived_cl88]) ).
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 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl619,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_006,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 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl559,plain,
( ( e24 = e20 )
<= ( ( h @ e10 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl549,zip_derived_cl70]) ).
thf(zip_derived_cl16,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('1',plain,
( ( h @ e10 )
!= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl559,zip_derived_cl16]) ).
thf(zip_derived_cl168,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl544_007,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_cl557,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_cl557,zip_derived_cl14]) ).
thf(zip_derived_cl167,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl544_008,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(zip_derived_cl82,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl621,plain,
( ( e22 = e23 )
<= ( ( h @ e10 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl547,zip_derived_cl82]) ).
thf(zip_derived_cl12,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('3',plain,
( ( h @ e10 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl621,zip_derived_cl12]) ).
thf('4',plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 )
| ( ( h @ e10 )
= e21 ) ),
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_cl623,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).
thf(zip_derived_cl706,plain,
( e20
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63,zip_derived_cl623]) ).
thf(zip_derived_cl713,plain,
( ( e20
= ( op2 @ e21 @ e21 ) )
<= ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl652,zip_derived_cl706]) ).
thf(zip_derived_cl88_009,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1730,plain,
( ( e20 = e22 )
<= ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl713,zip_derived_cl88]) ).
thf(zip_derived_cl18,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('6',plain,
( ( j @ e21 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1730,zip_derived_cl18]) ).
thf(zip_derived_cl197,plain,
( ( ( j @ e21 )
= e12 )
<= ( ( j @ e21 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_010,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl653,plain,
( ( ( h @ e12 )
= e21 )
<= ( ( j @ e21 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl156]) ).
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_cl623_011,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).
thf(zip_derived_cl1036,plain,
( e20
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57,zip_derived_cl623]) ).
thf(zip_derived_cl1043,plain,
( ( e20
= ( op2 @ e21 @ e21 ) )
<= ( ( j @ e21 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl653,zip_derived_cl1036]) ).
thf(zip_derived_cl88_012,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1825,plain,
( ( e20 = e22 )
<= ( ( j @ e21 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1043,zip_derived_cl88]) ).
thf(zip_derived_cl18_013,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('7',plain,
( ( j @ e21 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1825,zip_derived_cl18]) ).
thf(zip_derived_cl195,plain,
( ( ( j @ e21 )
= e10 )
<= ( ( j @ e21 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_014,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl651,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( j @ e21 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl156]) ).
thf(zip_derived_cl623_015,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).
thf(zip_derived_cl656,plain,
( ( e20 = e21 )
<= ( ( j @ e21 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl623]) ).
thf(zip_derived_cl19,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('8',plain,
( ( j @ e21 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl656,zip_derived_cl19]) ).
thf(zip_derived_cl198,plain,
( ( ( j @ e21 )
= e13 )
<= ( ( j @ e21 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl1827_016,plain,
( ( j @ e22 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl88]) ).
thf(zip_derived_cl1828,plain,
( ( ( j @ e22 )
= ( op1 @ e13 @ e13 ) )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl1827]) ).
thf(zip_derived_cl51,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1832,plain,
( ( ( j @ e22 )
= e10 )
<= ( ( j @ e21 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1828,zip_derived_cl51]) ).
thf(zip_derived_cl1852_017,plain,
( ( j @ e24 )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).
thf(zip_derived_cl1858,plain,
( ( ( j @ e24 )
= ( op1 @ ( j @ e21 ) @ e10 ) )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1832,zip_derived_cl1852]) ).
thf(zip_derived_cl198_018,plain,
( ( ( j @ e21 )
= e13 )
<= ( ( j @ e21 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl54,plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1863,plain,
( ( ( j @ e24 )
= e13 )
<= ( ( j @ e21 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1858,zip_derived_cl198,zip_derived_cl54]) ).
thf(zip_derived_cl1900_019,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl85]) ).
thf(zip_derived_cl1907,plain,
( ( ( j @ e23 )
= ( op1 @ ( j @ e21 ) @ e13 ) )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1863,zip_derived_cl1900]) ).
thf(zip_derived_cl198_020,plain,
( ( ( j @ e21 )
= e13 )
<= ( ( j @ e21 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl51_021,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1913,plain,
( ( ( j @ e23 )
= e10 )
<= ( ( j @ e21 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1907,zip_derived_cl198,zip_derived_cl51]) ).
thf(zip_derived_cl138,plain,
( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
( ( op2 @ e21 @ e23 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
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_cl190,plain,
( ( ( j @ e20 )
= e10 )
<= ( ( j @ e20 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl192,plain,
( ( ( j @ e20 )
= e12 )
<= ( ( j @ e20 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
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_cl1759,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl1762,plain,
( ( e12
= ( op1 @ e12 @ e12 ) )
<= ( ( j @ e20 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl1759]) ).
thf(zip_derived_cl57_022,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1772,plain,
( ( e12 = e10 )
<= ( ( j @ e20 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1762,zip_derived_cl57]) ).
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_cl8,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax1]) ).
thf('9',plain,
( ( j @ e20 )
!= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1772,zip_derived_cl8]) ).
thf(zip_derived_cl193,plain,
( ( ( j @ e20 )
= e13 )
<= ( ( j @ e20 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl1759_023,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl1763,plain,
( ( e13
= ( op1 @ e13 @ e13 ) )
<= ( ( j @ e20 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl1759]) ).
thf(zip_derived_cl51_024,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1774,plain,
( ( e13 = e10 )
<= ( ( j @ e20 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1763,zip_derived_cl51]) ).
thf(zip_derived_cl7,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf('10',plain,
( ( j @ e20 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1774,zip_derived_cl7]) ).
thf(zip_derived_cl191,plain,
( ( ( j @ e20 )
= e11 )
<= ( ( j @ e20 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl1759_025,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl1761,plain,
( ( e11
= ( op1 @ e11 @ e11 ) )
<= ( ( j @ e20 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl1759]) ).
thf(zip_derived_cl63_026,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1770,plain,
( ( e11 = e10 )
<= ( ( j @ e20 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl1761,zip_derived_cl63]) ).
thf(zip_derived_cl9,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax1]) ).
thf('11',plain,
( ( j @ e20 )
!= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1770,zip_derived_cl9]) ).
thf(zip_derived_cl194,plain,
( ( ( j @ e20 )
= e14 )
<= ( ( j @ e20 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl1759_027,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl1764,plain,
( ( e14
= ( op1 @ e14 @ e14 ) )
<= ( ( j @ e20 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl1759]) ).
thf(zip_derived_cl45_028,plain,
( ( op1 @ e14 @ e14 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1776,plain,
( ( e14 = e10 )
<= ( ( j @ e20 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1764,zip_derived_cl45]) ).
thf(zip_derived_cl6,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax1]) ).
thf('12',plain,
( ( j @ e20 )
!= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1776,zip_derived_cl6]) ).
thf('13',plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e14 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf('14',plain,
( ( j @ e20 )
= e10 ),
inference('sat_resolution*',[status(thm)],['9','10','11','12','13']) ).
thf(zip_derived_cl1786,plain,
( ( j @ e20 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl190,'14']) ).
thf(zip_derived_cl1885,plain,
( e10
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl86,zip_derived_cl1786]) ).
thf(zip_derived_cl1930,plain,
( ( e10
= ( op1 @ ( j @ e21 ) @ e10 ) )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1913,zip_derived_cl1885]) ).
thf(zip_derived_cl198_029,plain,
( ( ( j @ e21 )
= e13 )
<= ( ( j @ e21 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl54_030,plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1935,plain,
( ( e10 = e13 )
<= ( ( j @ e21 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1930,zip_derived_cl198,zip_derived_cl54]) ).
thf(zip_derived_cl7_031,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf('15',plain,
( ( j @ e21 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1935,zip_derived_cl7]) ).
thf('16',plain,
( ( ( j @ e21 )
= e14 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf('17',plain,
( ( j @ e21 )
= e14 ),
inference('sat_resolution*',[status(thm)],['6','7','8','15','16']) ).
thf(zip_derived_cl1937,plain,
( ( j @ e23 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1914,'17']) ).
thf(zip_derived_cl140,plain,
( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
( ( op2 @ e22 @ e20 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1786_032,plain,
( ( j @ e20 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl190,'14']) ).
thf(zip_derived_cl1963,plain,
( ( j @ e22 )
= ( op1 @ ( j @ e22 ) @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl84,zip_derived_cl1786]) ).
thf(zip_derived_cl1987,plain,
( ( j @ e24 )
= ( j @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl81,zip_derived_cl1937,zip_derived_cl1963]) ).
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_033,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1937_034,plain,
( ( j @ e23 )
= e10 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1914,'17']) ).
thf(zip_derived_cl1982,plain,
( e10
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl82,zip_derived_cl1937]) ).
thf(zip_derived_cl2006,plain,
( ( j @ e21 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl80,zip_derived_cl1987,zip_derived_cl1982]) ).
thf(zip_derived_cl623_035,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).
thf(zip_derived_cl2007,plain,
e20 = e21,
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl2006,zip_derived_cl623]) ).
thf(zip_derived_cl19_036,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2008,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2007,zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG089+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LAuFrF53eC true
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 03:44:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.92/0.90 % Solved by fo/fo1_av.sh.
% 1.92/0.90 % done 731 iterations in 0.135s
% 1.92/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.92/0.90 % SZS output start Refutation
% See solution above
% 1.92/0.91
% 1.92/0.91
% 1.92/0.91 % Terminating...
% 2.07/0.96 % Runner terminated.
% 2.07/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------