TSTP Solution File: ALG081+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG081+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JgqDmbeS5G true
% Computer : n029.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 17:10:23 EDT 2023
% Result : Theorem 0.77s 0.87s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 211 ( 89 unt; 14 typ; 0 def)
% Number of atoms : 614 ( 612 equ; 0 cnn)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1851 ( 61 ~; 127 |; 202 &;1373 @)
% ( 0 <=>; 2 =>; 86 <=; 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_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_cl170,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
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 )
= e11 )
& ( ( op1 @ e14 @ e13 )
= e12 )
& ( ( op1 @ e14 @ e12 )
= e10 )
& ( ( op1 @ e14 @ e11 )
= e13 )
& ( ( op1 @ e14 @ e10 )
= e14 )
& ( ( op1 @ e13 @ e14 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e12 )
= e14 )
& ( ( op1 @ e13 @ e11 )
= e10 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e14 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
= e14 )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e14 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e14 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( 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 )
= e12 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl706,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).
thf(zip_derived_cl707,plain,
( ( ( h @ e12 )
= ( op2 @ e20 @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl706]) ).
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_cl94,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl721,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl707,zip_derived_cl94]) ).
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_cl791,plain,
( ( h @ e13 )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl62]) ).
thf(zip_derived_cl799,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e11 ) @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl791]) ).
thf(zip_derived_cl170_001,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl94_002,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl812,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl170,zip_derived_cl94]) ).
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_cl181,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( h @ e13 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl912,plain,
( ( e20 = e21 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl812,zip_derived_cl181]) ).
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_cl19,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl918,plain,
( $false
<= ( ( ( h @ e11 )
= e20 )
& ( ( h @ e13 )
= e21 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl912,zip_derived_cl19]) ).
thf(zip_derived_cl173,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl706_003,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).
thf(zip_derived_cl710,plain,
( ( ( h @ e12 )
= ( op2 @ e23 @ e23 ) )
<= ( ( h @ e11 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl706]) ).
thf(zip_derived_cl76,plain,
( ( op2 @ e23 @ e23 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl724,plain,
( ( ( h @ e12 )
= e21 )
<= ( ( h @ e11 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl710,zip_derived_cl76]) ).
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 )
= e11 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1059,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57]) ).
thf(zip_derived_cl1070,plain,
( ( ( h @ e11 )
= ( op2 @ e21 @ e21 ) )
<= ( ( h @ e11 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl1059]) ).
thf(zip_derived_cl173_004,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl88,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1100,plain,
( ( e23 = e22 )
<= ( ( h @ e11 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1070,zip_derived_cl173,zip_derived_cl88]) ).
thf(zip_derived_cl12,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('0',plain,
( ( h @ e11 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1100,zip_derived_cl12]) ).
thf(zip_derived_cl171,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl706_005,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).
thf(zip_derived_cl708,plain,
( ( ( h @ e12 )
= ( op2 @ e21 @ e21 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl706]) ).
thf(zip_derived_cl88_006,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl722,plain,
( ( ( h @ e12 )
= e22 )
<= ( ( h @ e11 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl708,zip_derived_cl88]) ).
thf(zip_derived_cl1059_007,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57]) ).
thf(zip_derived_cl1068,plain,
( ( ( h @ e11 )
= ( op2 @ e22 @ e22 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl1059]) ).
thf(zip_derived_cl171_008,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl82,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1096,plain,
( ( e21 = e23 )
<= ( ( h @ e11 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1068,zip_derived_cl171,zip_derived_cl82]) ).
thf(zip_derived_cl14,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('1',plain,
( ( h @ e11 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1096,zip_derived_cl14]) ).
thf(zip_derived_cl172,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl706_009,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).
thf(zip_derived_cl709,plain,
( ( ( h @ e12 )
= ( op2 @ e22 @ e22 ) )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl706]) ).
thf(zip_derived_cl82_010,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl723,plain,
( ( ( h @ e12 )
= e23 )
<= ( ( h @ e11 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl709,zip_derived_cl82]) ).
thf(zip_derived_cl1059_011,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57]) ).
thf(zip_derived_cl1069,plain,
( ( ( h @ e11 )
= ( op2 @ e23 @ e23 ) )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl1059]) ).
thf(zip_derived_cl172_012,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl76_013,plain,
( ( op2 @ e23 @ e23 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1098,plain,
( ( e22 = e21 )
<= ( ( h @ e11 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1069,zip_derived_cl172,zip_derived_cl76]) ).
thf(zip_derived_cl15,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('2',plain,
( ( h @ e11 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1098,zip_derived_cl15]) ).
thf(zip_derived_cl174,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl706_014,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).
thf(zip_derived_cl711,plain,
( ( ( h @ e12 )
= ( op2 @ e24 @ e24 ) )
<= ( ( h @ e11 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl706]) ).
thf(zip_derived_cl70,plain,
( ( op2 @ e24 @ e24 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl725,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( h @ e11 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl711,zip_derived_cl70]) ).
thf(zip_derived_cl1059_015,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57]) ).
thf(zip_derived_cl1071,plain,
( ( ( h @ e11 )
= ( op2 @ e20 @ e20 ) )
<= ( ( h @ e11 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl1059]) ).
thf(zip_derived_cl174_016,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl94_017,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1102,plain,
( ( e24 = e20 )
<= ( ( h @ e11 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl174,zip_derived_cl94]) ).
thf(zip_derived_cl16,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('3',plain,
( ( h @ e11 )
!= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1102,zip_derived_cl16]) ).
thf('4',plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e24 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf('5',plain,
( ( h @ e11 )
= e20 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).
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_cl198,plain,
( ( ( j @ e21 )
= e13 )
<= ( ( j @ e21 )
= e13 ) ),
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_cl654,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl156]) ).
thf(zip_derived_cl184,plain,
( ( ( h @ e13 )
= e24 )
<= ( ( h @ e13 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl689,plain,
( ( e21 = e24 )
<= ( ( ( h @ e13 )
= e24 )
& ( ( j @ e21 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl654,zip_derived_cl184]) ).
thf(zip_derived_cl13,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('6',plain,
( ( ( h @ e13 )
!= e24 )
| ( ( j @ e21 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl689,zip_derived_cl13]) ).
thf(zip_derived_cl654_018,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl156]) ).
thf(zip_derived_cl182,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( h @ e13 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl687,plain,
( ( e21 = e22 )
<= ( ( ( h @ e13 )
= e22 )
& ( ( j @ e21 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl654,zip_derived_cl182]) ).
thf(zip_derived_cl15_019,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('7',plain,
( ( ( h @ e13 )
!= e22 )
| ( ( j @ e21 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl687,zip_derived_cl15]) ).
thf(zip_derived_cl654_020,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl156]) ).
thf(zip_derived_cl180,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e13 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl686,plain,
( ( e21 = e20 )
<= ( ( ( h @ e13 )
= e20 )
& ( ( j @ e21 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl654,zip_derived_cl180]) ).
thf(zip_derived_cl19_021,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('8',plain,
( ( ( h @ e13 )
!= e20 )
| ( ( j @ e21 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl686,zip_derived_cl19]) ).
thf(zip_derived_cl196,plain,
( ( ( j @ e21 )
= e11 )
<= ( ( j @ e21 )
= e11 ) ),
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 @ e11 )
= e21 )
<= ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl156]) ).
thf(zip_derived_cl170_023,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl658,plain,
( ( e21 = e20 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl652,zip_derived_cl170]) ).
thf(zip_derived_cl19_024,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('9',plain,
( ( ( j @ e21 )
!= e11 )
| ( ( h @ e11 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl658,zip_derived_cl19]) ).
thf(zip_derived_cl721_025,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl707,zip_derived_cl94]) ).
thf(zip_derived_cl197,plain,
( ( ( j @ e21 )
= e12 )
<= ( ( j @ e21 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_026,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_cl739,plain,
( ( e20 = e21 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl653]) ).
thf(zip_derived_cl19_027,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('10',plain,
( ( ( j @ e21 )
!= e12 )
| ( ( h @ e11 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl739,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_028,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_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_029,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(zip_derived_cl15_030,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('11',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_031,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_032,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_033,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('12',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_034,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_035,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_036,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('13',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_037,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_038,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_039,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('14',plain,
( ( h @ e10 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl621,zip_derived_cl12]) ).
thf('15',plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 )
| ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf('16',plain,
( ( h @ e10 )
= e20 ),
inference('sat_resolution*',[status(thm)],['11','12','13','14','15']) ).
thf(zip_derived_cl623,plain,
( ( h @ e10 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl165,'16']) ).
thf(zip_derived_cl656,plain,
( ( e20 = e21 )
<= ( ( j @ e21 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl623]) ).
thf(zip_derived_cl19_040,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('17',plain,
( ( j @ e21 )
!= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl656,zip_derived_cl19]) ).
thf(zip_derived_cl812_041,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl170,zip_derived_cl94]) ).
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_cl880,plain,
( ( h @ e14 )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).
thf(zip_derived_cl917,plain,
( ( ( h @ e14 )
= ( op2 @ ( h @ e11 ) @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl812,zip_derived_cl880]) ).
thf(zip_derived_cl170_042,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl94_043,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl923,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl917,zip_derived_cl170,zip_derived_cl94]) ).
thf('18',plain,
( ( h @ e11 )
= e20 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).
thf(zip_derived_cl1158,plain,
( ( h @ e14 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl923,'18']) ).
thf(zip_derived_cl99,plain,
( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186,plain,
( ( ( h @ e14 )
= e21 )
<= ( ( h @ e14 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1163,plain,
( ( e20 = e21 )
<= ( ( h @ e14 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1158,zip_derived_cl186]) ).
thf(zip_derived_cl19_044,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('19',plain,
( ( h @ e14 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1163,zip_derived_cl19]) ).
thf(zip_derived_cl1158_045,plain,
( ( h @ e14 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl923,'18']) ).
thf(zip_derived_cl188,plain,
( ( ( h @ e14 )
= e23 )
<= ( ( h @ e14 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1165,plain,
( ( e20 = e23 )
<= ( ( h @ e14 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1158,zip_derived_cl188]) ).
thf(zip_derived_cl17,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('20',plain,
( ( h @ e14 )
!= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1165,zip_derived_cl17]) ).
thf(zip_derived_cl1158_046,plain,
( ( h @ e14 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl923,'18']) ).
thf(zip_derived_cl187,plain,
( ( ( h @ e14 )
= e22 )
<= ( ( h @ e14 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1164,plain,
( ( e20 = e22 )
<= ( ( h @ e14 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1158,zip_derived_cl187]) ).
thf(zip_derived_cl18,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('21',plain,
( ( h @ e14 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1164,zip_derived_cl18]) ).
thf(zip_derived_cl1158_047,plain,
( ( h @ e14 )
= e20 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl923,'18']) ).
thf(zip_derived_cl189,plain,
( ( ( h @ e14 )
= e24 )
<= ( ( h @ e14 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1166,plain,
( ( e20 = e24 )
<= ( ( h @ e14 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1158,zip_derived_cl189]) ).
thf(zip_derived_cl16_048,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('22',plain,
( ( h @ e14 )
!= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1166,zip_derived_cl16]) ).
thf('23',plain,
( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e24 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl199,plain,
( ( ( j @ e21 )
= e14 )
<= ( ( j @ e21 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_049,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl655,plain,
( ( ( h @ e14 )
= e21 )
<= ( ( j @ e21 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl156]) ).
thf(zip_derived_cl185,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( h @ e14 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl696,plain,
( ( e21 = e20 )
<= ( ( ( h @ e14 )
= e20 )
& ( ( j @ e21 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl655,zip_derived_cl185]) ).
thf(zip_derived_cl19_050,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('24',plain,
( ( ( j @ e21 )
!= e14 )
| ( ( h @ e14 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl696,zip_derived_cl19]) ).
thf('25',plain,
( ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 )
| ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl654_051,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl156]) ).
thf(zip_derived_cl183,plain,
( ( ( h @ e13 )
= e23 )
<= ( ( h @ e13 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl688,plain,
( ( e21 = e23 )
<= ( ( ( h @ e13 )
= e23 )
& ( ( j @ e21 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl654,zip_derived_cl183]) ).
thf(zip_derived_cl14_052,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('26',plain,
( ( ( h @ e13 )
!= e23 )
| ( ( j @ e21 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl688,zip_derived_cl14]) ).
thf('27',plain,
( ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf('28',plain,
( ( h @ e13 )
= e21 ),
inference('sat_resolution*',[status(thm)],['6','7','8','9','0','1','2','3','4','10','17','19','20','21','22','23','24','25','26','27']) ).
thf(zip_derived_cl1205,plain,
$false,
inference(simpl_trail,[status(thm)],[zip_derived_cl918,'5','28']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG081+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JgqDmbeS5G true
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 02:59:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % 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
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.77/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.77/0.87 % Solved by fo/fo1_av.sh.
% 0.77/0.87 % done 495 iterations in 0.077s
% 0.77/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.77/0.87 % SZS output start Refutation
% See solution above
% 0.77/0.87
% 0.77/0.87
% 0.77/0.87 % Terminating...
% 1.45/0.96 % Runner terminated.
% 1.45/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------