%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG042+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.IP1ZH3s8ec true
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:27:23 PM UTC 2025
% Result : Theorem 0.52s 0.84s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 4
% Syntax : Number of formulae : 84 ( 48 unt; 0 typ; 0 def)
% Number of atoms : 320 ( 319 equ; 0 cnn)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 1073 ( 16 ~; 107 |; 127 &; 821 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e22_type,type,
e22: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(j_type,type,
j: $i > $i ).
thf(e21_type,type,
e21: $i ).
thf(e23_type,type,
e23: $i ).
thf(e20_type,type,
e20: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(e13_type,type,
e13: $i ).
thf(e12_type,type,
e12: $i ).
thf(e11_type,type,
e11: $i ).
thf(h_type,type,
h: $i > $i ).
thf(e10_type,type,
e10: $i ).
thf(co1,conjecture,
( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 ) ) )
=> ~ ( ( ( 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 @ 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 @ 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 @ 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 ) ) )
& ( ( 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 @ 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 @ 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 @ 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 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 ) ) )
=> ~ ( ( ( 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 @ 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 @ 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 @ 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 ) ) )
& ( ( 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 @ 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 @ 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 @ 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 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl73,plain,
( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax4,axiom,
( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e12 )
= e11 )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e11 )
& ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e11 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ).
thf(zip_derived_cl38,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl113,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl38]) ).
thf(zip_derived_cl60,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68,plain,
( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl108,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl43]) ).
thf(zip_derived_cl144,plain,
( ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( e23
= ( op2 @ e23 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl108]) ).
thf(ax5,axiom,
( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e22 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e21 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e21 @ e23 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e20 )
& ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ).
thf(zip_derived_cl44,plain,
( ( op2 @ e23 @ e23 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl146,plain,
( ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( e23 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl44]) ).
thf(ax2,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl9,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl147,plain,
( ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl146,zip_derived_cl9]) ).
thf(zip_derived_cl104,plain,
( ( j @ ( h @ e10 ) )
= e10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl150,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( j @ e22 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl147,zip_derived_cl104]) ).
thf(zip_derived_cl94,plain,
( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl134,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl49]) ).
thf(zip_derived_cl208,plain,
( ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( ( j @ e23 )
= ( op1 @ e10 @ e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl150,zip_derived_cl134]) ).
thf(zip_derived_cl43_001,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl210,plain,
( ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( ( j @ e23 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl43]) ).
thf(zip_derived_cl103,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl212,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl210,zip_derived_cl103]) ).
thf(zip_derived_cl108_002,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl43]) ).
thf(zip_derived_cl216,plain,
( ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( e23
= ( op2 @ e23 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl108]) ).
thf(zip_derived_cl44_003,plain,
( ( op2 @ e23 @ e23 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl227,plain,
( ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 )
| ( e23 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl44]) ).
thf(zip_derived_cl9_004,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl228,plain,
( ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl227,zip_derived_cl9]) ).
thf(zip_derived_cl104_005,plain,
( ( j @ ( h @ e10 ) )
= e10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
( ( ( h @ e10 )
= e20 )
| ( ( j @ e21 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl104]) ).
thf(zip_derived_cl89,plain,
( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
( ( op2 @ e21 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl129,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl54]) ).
thf(zip_derived_cl261,plain,
( ( ( h @ e10 )
= e20 )
| ( ( j @ e23 )
= ( op1 @ e10 @ e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl247,zip_derived_cl129]) ).
thf(zip_derived_cl43_006,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl266,plain,
( ( ( h @ e10 )
= e20 )
| ( ( j @ e23 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl43]) ).
thf(zip_derived_cl103_007,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl268,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl266,zip_derived_cl103]) ).
thf(zip_derived_cl108_008,plain,
( ( h @ e10 )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl43]) ).
thf(zip_derived_cl272,plain,
( ( ( h @ e10 )
= e20 )
| ( e23
= ( op2 @ e23 @ e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl268,zip_derived_cl108]) ).
thf(zip_derived_cl44_009,plain,
( ( op2 @ e23 @ e23 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl282,plain,
( ( ( h @ e10 )
= e20 )
| ( e23 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl44]) ).
thf(zip_derived_cl9_010,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl283,plain,
( ( h @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl282,zip_derived_cl9]) ).
thf(zip_derived_cl293,plain,
( e20
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl283]) ).
thf(zip_derived_cl65,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_011,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl54]) ).
thf(zip_derived_cl301,plain,
( ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 )
| ( ( j @ e23 )
= ( op1 @ e13 @ e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl129]) ).
thf(zip_derived_cl28,plain,
( ( op1 @ e13 @ e13 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl309,plain,
( ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 )
| ( ( j @ e23 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl28]) ).
thf(zip_derived_cl103_012,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl428,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( h @ e10 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl309,zip_derived_cl103]) ).
thf(zip_derived_cl283_013,plain,
( ( h @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl282,zip_derived_cl9]) ).
thf(zip_derived_cl441,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( e20 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl283]) ).
thf(zip_derived_cl9_014,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl442,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl441,zip_derived_cl9]) ).
thf(zip_derived_cl129_015,plain,
( ( j @ e23 )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl54]) ).
thf(zip_derived_cl449,plain,
( ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 )
| ( ( j @ e23 )
= ( op1 @ e12 @ e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl129]) ).
thf(zip_derived_cl33,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl459,plain,
( ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e10 )
| ( ( j @ e23 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl449,zip_derived_cl33]) ).
thf(zip_derived_cl103_016,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl480,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( h @ e10 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl459,zip_derived_cl103]) ).
thf(zip_derived_cl283_017,plain,
( ( h @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl282,zip_derived_cl9]) ).
thf(zip_derived_cl493,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( e20 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl283]) ).
thf(zip_derived_cl9_018,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl494,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl493,zip_derived_cl9]) ).
thf(zip_derived_cl101,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl500,plain,
( ( ( j @ e21 )
= e10 )
| ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl494,zip_derived_cl101]) ).
thf(zip_derived_cl101_019,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl513,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e10 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl500,zip_derived_cl101]) ).
thf(zip_derived_cl283_020,plain,
( ( h @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl282,zip_derived_cl9]) ).
thf(zip_derived_cl523,plain,
( ( ( h @ e11 )
= e21 )
| ( e20 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl513,zip_derived_cl283]) ).
thf(zip_derived_cl11,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl524,plain,
( ( h @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl523,zip_derived_cl11]) ).
thf(zip_derived_cl524_021,plain,
( ( h @ e11 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl523,zip_derived_cl11]) ).
thf(zip_derived_cl54_022,plain,
( ( op2 @ e21 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl537,plain,
e20 = e23,
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl524,zip_derived_cl524,zip_derived_cl54]) ).
thf(zip_derived_cl9_023,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl538,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl537,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG042+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.IP1ZH3s8ec true
% 0.13/0.36 % Computer : n002.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:57:53 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.48/0.62 % Total configuration time : 435
% 0.48/0.62 % Estimated wc time : 1092
% 0.48/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.84 % Solved by fo/fo13.sh.
% 0.52/0.84 % done 170 iterations in 0.086s
% 0.52/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.84 % SZS output start Refutation
% See solution above
% 0.52/0.85
% 0.52/0.85
% 0.52/0.85 % Terminating...
% 1.65/0.95 % Runner terminated.
% 1.69/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------