%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG182+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.Xs6I4G6xLn 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 : Thu Oct 2 04:28:09 PM UTC 2025
% Result : Theorem 0.59s 0.93s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 80 ( 47 unt; 0 typ; 0 def)
% Number of atoms : 428 ( 427 equ; 0 cnn)
% Maximal formula atoms : 110 ( 5 avg)
% Number of connectives : 1527 ( 32 ~; 144 |; 202 &;1147 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e21_type,type,
e21: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(e20_type,type,
e20: $i ).
thf(e22_type,type,
e22: $i ).
thf(j_type,type,
j: $i > $i ).
thf(e14_type,type,
e14: $i ).
thf(e24_type,type,
e24: $i ).
thf(e13_type,type,
e13: $i ).
thf(h_type,type,
h: $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e11_type,type,
e11: $i ).
thf(e10_type,type,
e10: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(e23_type,type,
e23: $i ).
thf(co1,conjecture,
( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) )
& ( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) )
& ( ( ( j @ e24 )
= e10 )
| ( ( j @ e24 )
= e11 )
| ( ( j @ e24 )
= e12 )
| ( ( j @ e24 )
= e13 )
| ( ( j @ e24 )
= e14 ) ) )
=> ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
& ( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e20 @ e22 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e20 @ e23 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e20 @ e24 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e21 @ e20 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e22 @ e21 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e23 @ e20 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e23 @ e21 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e23 @ e22 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e23 @ e24 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e24 @ e20 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e24 @ e21 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e24 @ e22 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e24 @ e23 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( h @ ( j @ e24 ) )
= e24 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 )
& ( ( j @ ( h @ e14 ) )
= e14 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) )
& ( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) )
& ( ( ( j @ e24 )
= e10 )
| ( ( j @ e24 )
= e11 )
| ( ( j @ e24 )
= e12 )
| ( ( j @ e24 )
= e13 )
| ( ( j @ e24 )
= e14 ) ) )
=> ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
& ( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e20 @ e22 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e20 @ e23 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e20 @ e24 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e21 @ e20 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e22 @ e21 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e23 @ e20 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e23 @ e21 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e23 @ e22 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e23 @ e24 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e24 @ e20 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e24 @ e21 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e24 @ e22 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e24 @ e23 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( h @ ( j @ e24 ) )
= e24 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 )
& ( ( j @ ( h @ e14 ) )
= e14 ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl136,plain,
( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax5,axiom,
( ( ( op2 @ e24 @ e24 )
= e24 )
& ( ( op2 @ e24 @ e23 )
= e21 )
& ( ( op2 @ e24 @ e22 )
= e20 )
& ( ( op2 @ e24 @ e21 )
= e22 )
& ( ( op2 @ e24 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e24 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e24 )
& ( ( op2 @ e22 @ e24 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e24 )
& ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e24 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e24 )
& ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e24 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e24 )
& ( ( op2 @ e20 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ).
thf(zip_derived_cl88,plain,
( ( op2 @ e21 @ e21 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl196,plain,
( ( j @ e21 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl88]) ).
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_001,plain,
( ( j @ e21 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl88]) ).
thf(zip_derived_cl409,plain,
( ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 )
| ( e14
= ( op1 @ e14 @ e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl101,zip_derived_cl196]) ).
thf(ax4,axiom,
( ( ( op1 @ e14 @ e14 )
= e11 )
& ( ( op1 @ e14 @ e13 )
= e13 )
& ( ( op1 @ e14 @ e12 )
= e14 )
& ( ( op1 @ e14 @ e11 )
= e10 )
& ( ( op1 @ e14 @ e10 )
= e12 )
& ( ( op1 @ e13 @ e14 )
= e12 )
& ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e11 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e14 )
& ( ( op1 @ e12 @ e14 )
= e10 )
& ( ( op1 @ e12 @ e13 )
= e14 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e14 )
= e13 )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e14 )
& ( ( op1 @ e11 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e14 )
= e14 )
& ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e12 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ).
thf(zip_derived_cl45,plain,
( ( op1 @ e14 @ e14 )
= e11 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl421,plain,
( ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 )
| ( e14 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl45]) ).
thf(ax1,axiom,
( ( e13 != e14 )
& ( e12 != e14 )
& ( e12 != e13 )
& ( e11 != e14 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e14 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl3,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl422,plain,
( ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl421,zip_derived_cl3]) ).
thf(zip_derived_cl196_002,plain,
( ( j @ e21 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl88]) ).
thf(zip_derived_cl629,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( e13
= ( op1 @ e13 @ e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl422,zip_derived_cl196]) ).
thf(zip_derived_cl51,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl642,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( e13 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl629,zip_derived_cl51]) ).
thf(zip_derived_cl7,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl643,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl642,zip_derived_cl7]) ).
thf(zip_derived_cl156,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl648,plain,
( ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 )
| ( ( h @ e12 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl643,zip_derived_cl156]) ).
thf(zip_derived_cl100,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130,plain,
( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl190,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl299,plain,
( ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 )
| ( e14
= ( op1 @ e14 @ e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl100,zip_derived_cl190]) ).
thf(zip_derived_cl45_003,plain,
( ( op1 @ e14 @ e14 )
= e11 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl313,plain,
( ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 )
| ( e14 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl45]) ).
thf(zip_derived_cl3_004,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl314,plain,
( ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl313,zip_derived_cl3]) ).
thf(zip_derived_cl190_005,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl318,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( e13
= ( op1 @ e13 @ e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl314,zip_derived_cl190]) ).
thf(zip_derived_cl51_006,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl331,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( e13 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl51]) ).
thf(zip_derived_cl7_007,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl332,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl331,zip_derived_cl7]) ).
thf(zip_derived_cl155,plain,
( ( h @ ( j @ e20 ) )
= e20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl335,plain,
( ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e10 )
| ( ( h @ e12 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl155]) ).
thf(zip_derived_cl190_008,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl349,plain,
( ( ( h @ e12 )
= e20 )
| ( ( j @ e20 )
= e10 )
| ( e11
= ( op1 @ e11 @ e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl335,zip_derived_cl190]) ).
thf(zip_derived_cl63,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl435,plain,
( ( ( j @ e20 )
= e10 )
| ( ( h @ e12 )
= e20 )
| ( e11 = e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl349,zip_derived_cl63]) ).
thf(zip_derived_cl3_009,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl436,plain,
( ( ( j @ e20 )
= e10 )
| ( ( h @ e12 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl435,zip_derived_cl3]) ).
thf(zip_derived_cl190_010,plain,
( ( j @ e20 )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).
thf(zip_derived_cl438,plain,
( ( ( h @ e12 )
= e20 )
| ( e10
= ( op1 @ e10 @ e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl190]) ).
thf(zip_derived_cl69,plain,
( ( op1 @ e10 @ e10 )
= e13 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl497,plain,
( ( ( h @ e12 )
= e20 )
| ( e10 = e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl438,zip_derived_cl69]) ).
thf(zip_derived_cl7_011,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl498,plain,
( ( h @ e12 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl497,zip_derived_cl7]) ).
thf(zip_derived_cl661,plain,
( ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 )
| ( e20 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl648,zip_derived_cl498]) ).
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_cl662,plain,
( ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl661,zip_derived_cl19]) ).
thf(zip_derived_cl131,plain,
( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl191,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl93]) ).
thf(zip_derived_cl162,plain,
( ( j @ ( h @ e12 ) )
= e12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl498_012,plain,
( ( h @ e12 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl497,zip_derived_cl7]) ).
thf(zip_derived_cl499,plain,
( ( j @ e20 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl498]) ).
thf(zip_derived_cl515,plain,
( ( j @ e23 )
= ( op1 @ e12 @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl499]) ).
thf(zip_derived_cl674,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e23 )
= ( op1 @ e12 @ e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl662,zip_derived_cl515]) ).
thf(zip_derived_cl58,plain,
( ( op1 @ e12 @ e11 )
= e13 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl679,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e23 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl58]) ).
thf(zip_derived_cl148,plain,
( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
( ( op2 @ e23 @ e23 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl208,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl76]) ).
thf(zip_derived_cl701,plain,
( ( ( j @ e21 )
= e10 )
| ( e13
= ( op1 @ e13 @ e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl679,zip_derived_cl208]) ).
thf(zip_derived_cl51_013,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl710,plain,
( ( ( j @ e21 )
= e10 )
| ( e13 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl701,zip_derived_cl51]) ).
thf(zip_derived_cl7_014,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl711,plain,
( ( j @ e21 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl710,zip_derived_cl7]) ).
thf(zip_derived_cl711_015,plain,
( ( j @ e21 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl710,zip_derived_cl7]) ).
thf(zip_derived_cl711_016,plain,
( ( j @ e21 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl710,zip_derived_cl7]) ).
thf(zip_derived_cl69_017,plain,
( ( op1 @ e10 @ e10 )
= e13 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl717,plain,
e10 = e13,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl711,zip_derived_cl711,zip_derived_cl711,zip_derived_cl69]) ).
thf(zip_derived_cl7_018,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl718,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl717,zip_derived_cl7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG182+1 : TPTP v9.2.0. Released v2.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xs6I4G6xLn true
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 17:04:23 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.93 % Solved by fo/fo13.sh.
% 0.59/0.93 % done 226 iterations in 0.097s
% 0.59/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.93 % SZS output start Refutation
% See solution above
% 0.59/0.93
% 0.59/0.93
% 0.59/0.93 % Terminating...
% 0.61/0.99 % Runner terminated.
% 0.61/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------