%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG043+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:49:20 AM UTC 2026
% Result : Theorem 2.02s 2.31s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 49
% Syntax : Number of formulae : 231 ( 75 unt; 46 def)
% Number of atoms : 2589 (1181 equ)
% Maximal formula atoms : 220 ( 11 avg)
% Number of connectives : 3153 ( 795 ~;2021 |; 291 &)
% ( 46 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 62 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 47 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2,axiom,
( op(e3,e3) = e0
& op(e3,e2) = e1
& op(e3,e1) = e2
& op(e3,e0) = e3
& op(e2,e3) = e1
& op(e2,e2) = e0
& op(e2,e1) = e3
& op(e2,e0) = e2
& op(e1,e3) = e2
& op(e1,e2) = e3
& op(e1,e1) = e0
& op(e1,e0) = e1
& op(e0,e3) = e3
& op(e0,e2) = e2
& op(e0,e1) = e1
& op(e0,e0) = e0 ),
file('theBenchmark.p',ax2) ).
fof(co1,conjecture,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 )
& ( unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0
& ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 )
& ( ( op(e3,e3) = e3
& op(e2,e2) = e3
& op(e1,e1) = e3
& op(e0,e0) = e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 ) ) ),
file('theBenchmark.p',co1) ).
fof(co1_neg,negated_conjecture,
~ ( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 )
& ( unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0
& ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 )
& ( ( op(e3,e3) = e3
& op(e2,e2) = e3
& op(e1,e1) = e3
& op(e0,e0) = e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_15,plain,
op(e0,e0) = e0,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_16,plain,
op(e0,e1) = e1,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_17,plain,
op(e0,e2) = e2,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_18,plain,
op(e0,e3) = e3,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_19,plain,
op(e1,e0) = e1,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_20,plain,
op(e1,e1) = e0,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_21,plain,
op(e1,e2) = e3,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_22,plain,
op(e1,e3) = e2,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_23,plain,
op(e2,e0) = e2,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_24,plain,
op(e2,e1) = e3,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_25,plain,
op(e2,e2) = e0,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_26,plain,
op(e2,e3) = e1,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_27,plain,
op(e3,e0) = e3,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_28,plain,
op(e3,e1) = e2,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_29,plain,
op(e3,e2) = e1,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_30,plain,
op(e3,e3) = e0,
inference(clausify,[status(thm)],[ax2]) ).
fof(ax3,axiom,
unit = e0,
file('theBenchmark.p',ax3) ).
cnf(c_31,plain,
unit = e0,
inference(clausify,[status(thm)],[ax3]) ).
cnf(c_32,plain,
e0 = unit,
inference(copy,[status(thm)],[c_31]) ).
fof(def_defn_00,definition,
( defn_00
<=> ( ( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(e0,e0) != e3 )
& ( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(e0,e0) != e2 )
& ( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) != e1 )
& ( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[defn_00])],[]) ).
fof(def_defn_10,definition,
( defn_10
<=> ( op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_10])],[]) ).
fof(def_defn_20,definition,
( defn_20
<=> ( op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_20])],[]) ).
fof(def_defn_30,definition,
( defn_30
<=> ( op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_30])],[]) ).
fof(def_defn_40,definition,
( defn_40
<=> ( op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_40])],[]) ).
fof(def_defn_50,definition,
( defn_50
<=> ( op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_50])],[]) ).
fof(def_defn_60,definition,
( defn_60
<=> ( op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_60])],[]) ).
fof(def_defn_70,definition,
( defn_70
<=> ( op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_70])],[]) ).
fof(def_defn_80,definition,
( defn_80
<=> ( op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_80])],[]) ).
fof(def_defn_90,definition,
( defn_90
<=> ( op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_90])],[]) ).
fof(def_defn_100,definition,
( defn_100
<=> ( op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_100])],[]) ).
fof(def_defn_110,definition,
( defn_110
<=> ( op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_110])],[]) ).
fof(def_defn_120,definition,
( defn_120
<=> ( op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_120])],[]) ).
fof(def_defn_130,definition,
( defn_130
<=> ( op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_130])],[]) ).
fof(def_defn_140,definition,
( defn_140
<=> ( op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_140])],[]) ).
fof(def_defn_150,definition,
( defn_150
<=> ( op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_150])],[]) ).
fof(def_defn_160,definition,
( defn_160
<=> ( op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_160])],[]) ).
fof(def_defn_170,definition,
( defn_170
<=> ( unit != e3
& unit != e2
& unit != e1
& unit != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_170])],[]) ).
fof(def_defn_180,definition,
( defn_180
<=> ( op(e0,e3) != e0
& op(e0,e2) != e0
& op(e0,e1) != e0
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_180])],[]) ).
fof(def_defn_190,definition,
( defn_190
<=> ( op(e3,e0) != e0
& op(e2,e0) != e0
& op(e1,e0) != e0
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_190])],[]) ).
fof(def_defn_200,definition,
( defn_200
<=> ( op(e0,e3) != e1
& op(e0,e2) != e1
& op(e0,e1) != e1
& op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[defn_200])],[]) ).
fof(def_defn_210,definition,
( defn_210
<=> ( op(e3,e0) != e1
& op(e2,e0) != e1
& op(e1,e0) != e1
& op(e0,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[defn_210])],[]) ).
fof(def_defn_220,definition,
( defn_220
<=> ( op(e0,e3) != e2
& op(e0,e2) != e2
& op(e0,e1) != e2
& op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[defn_220])],[]) ).
fof(def_defn_230,definition,
( defn_230
<=> ( op(e3,e0) != e2
& op(e2,e0) != e2
& op(e1,e0) != e2
& op(e0,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[defn_230])],[]) ).
fof(def_defn_240,definition,
( defn_240
<=> ( op(e0,e3) != e3
& op(e0,e2) != e3
& op(e0,e1) != e3
& op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[defn_240])],[]) ).
fof(def_defn_250,definition,
( defn_250
<=> ( op(e3,e0) != e3
& op(e2,e0) != e3
& op(e1,e0) != e3
& op(e0,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[defn_250])],[]) ).
fof(def_defn_260,definition,
( defn_260
<=> ( op(e1,e3) != e0
& op(e1,e2) != e0
& op(e1,e1) != e0
& op(e1,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_260])],[]) ).
fof(def_defn_270,definition,
( defn_270
<=> ( op(e3,e1) != e0
& op(e2,e1) != e0
& op(e1,e1) != e0
& op(e0,e1) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_270])],[]) ).
fof(def_defn_280,definition,
( defn_280
<=> ( op(e1,e3) != e1
& op(e1,e2) != e1
& op(e1,e1) != e1
& op(e1,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[defn_280])],[]) ).
fof(def_defn_290,definition,
( defn_290
<=> ( op(e3,e1) != e1
& op(e2,e1) != e1
& op(e1,e1) != e1
& op(e0,e1) != e1 ) ),
introduced(definition,[new_symbols(definition,[defn_290])],[]) ).
fof(def_defn_300,definition,
( defn_300
<=> ( op(e1,e3) != e2
& op(e1,e2) != e2
& op(e1,e1) != e2
& op(e1,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[defn_300])],[]) ).
fof(def_defn_310,definition,
( defn_310
<=> ( op(e3,e1) != e2
& op(e2,e1) != e2
& op(e1,e1) != e2
& op(e0,e1) != e2 ) ),
introduced(definition,[new_symbols(definition,[defn_310])],[]) ).
fof(def_defn_320,definition,
( defn_320
<=> ( op(e1,e3) != e3
& op(e1,e2) != e3
& op(e1,e1) != e3
& op(e1,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[defn_320])],[]) ).
fof(def_defn_330,definition,
( defn_330
<=> ( op(e3,e1) != e3
& op(e2,e1) != e3
& op(e1,e1) != e3
& op(e0,e1) != e3 ) ),
introduced(definition,[new_symbols(definition,[defn_330])],[]) ).
fof(def_defn_340,definition,
( defn_340
<=> ( op(e2,e3) != e0
& op(e2,e2) != e0
& op(e2,e1) != e0
& op(e2,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_340])],[]) ).
fof(def_defn_350,definition,
( defn_350
<=> ( op(e3,e2) != e0
& op(e2,e2) != e0
& op(e1,e2) != e0
& op(e0,e2) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_350])],[]) ).
fof(def_defn_360,definition,
( defn_360
<=> ( op(e2,e3) != e1
& op(e2,e2) != e1
& op(e2,e1) != e1
& op(e2,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[defn_360])],[]) ).
fof(def_defn_370,definition,
( defn_370
<=> ( op(e3,e2) != e1
& op(e2,e2) != e1
& op(e1,e2) != e1
& op(e0,e2) != e1 ) ),
introduced(definition,[new_symbols(definition,[defn_370])],[]) ).
fof(def_defn_380,definition,
( defn_380
<=> ( op(e2,e3) != e2
& op(e2,e2) != e2
& op(e2,e1) != e2
& op(e2,e0) != e2 ) ),
introduced(definition,[new_symbols(definition,[defn_380])],[]) ).
fof(def_defn_390,definition,
( defn_390
<=> ( op(e3,e2) != e2
& op(e2,e2) != e2
& op(e1,e2) != e2
& op(e0,e2) != e2 ) ),
introduced(definition,[new_symbols(definition,[defn_390])],[]) ).
fof(def_defn_400,definition,
( defn_400
<=> ( op(e2,e3) != e3
& op(e2,e2) != e3
& op(e2,e1) != e3
& op(e2,e0) != e3 ) ),
introduced(definition,[new_symbols(definition,[defn_400])],[]) ).
fof(def_defn_410,definition,
( defn_410
<=> ( op(e3,e2) != e3
& op(e2,e2) != e3
& op(e1,e2) != e3
& op(e0,e2) != e3 ) ),
introduced(definition,[new_symbols(definition,[defn_410])],[]) ).
fof(def_defn_420,definition,
( defn_420
<=> ( op(e3,e3) != e0
& op(e3,e2) != e0
& op(e3,e1) != e0
& op(e3,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_420])],[]) ).
fof(def_defn_430,definition,
( defn_430
<=> ( op(e3,e3) != e0
& op(e2,e3) != e0
& op(e1,e3) != e0
& op(e0,e3) != e0 ) ),
introduced(definition,[new_symbols(definition,[defn_430])],[]) ).
fof(def_defn_440,definition,
( defn_440
<=> ( op(e3,e3) != e1
& op(e3,e2) != e1
& op(e3,e1) != e1
& op(e3,e0) != e1 ) ),
introduced(definition,[new_symbols(definition,[defn_440])],[]) ).
fof(def_defn_450,definition,
( defn_450
<=> ( op(e3,e3) != e1
& op(e2,e3) != e1
& op(e1,e3) != e1
& op(e0,e3) != e1 ) ),
introduced(definition,[new_symbols(definition,[defn_450])],[]) ).
cnf(c_66,negated_conjecture,
( op(e0,e3) != e3
| op(e3,e0) != e3
| op(e1,e3) != e2
| op(e3,e1) != e2
| defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_00,def_defn_10,def_defn_20,def_defn_30,def_defn_40,def_defn_50,def_defn_60,def_defn_70,def_defn_80,def_defn_90,def_defn_100,def_defn_110,def_defn_120,def_defn_130,def_defn_140,def_defn_150,def_defn_160,def_defn_170,def_defn_180,def_defn_190,def_defn_200,def_defn_210,def_defn_220,def_defn_230,def_defn_240,def_defn_250,def_defn_260,def_defn_270,def_defn_280,def_defn_290,def_defn_300,def_defn_310,def_defn_320,def_defn_330,def_defn_340,def_defn_350,def_defn_360,def_defn_370,def_defn_380,def_defn_390,def_defn_400,def_defn_410,def_defn_420,def_defn_430,def_defn_440,def_defn_450]) ).
cnf(c_291,negated_conjecture,
( op(e0,e3) != e3
| op(e3,e0) != e3
| op(e1,e3) != e2
| defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_28,c_66]) ).
cnf(c_292,negated_conjecture,
( op(e0,e3) != e3
| op(e3,e0) != e3
| defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_22,c_291]) ).
cnf(c_293,negated_conjecture,
( op(e0,e3) != e3
| defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_27,c_292]) ).
cnf(c_67,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10
| defn_00 ),
inference(resolve,[status(thm)],[c_18,c_293]) ).
cnf(c_113,negated_conjecture,
( op(e2,e3) != e1
| ~ defn_450 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_450]) ).
cnf(c_114,negated_conjecture,
~ defn_450,
inference(resolve,[status(thm)],[c_26,c_113]) ).
cnf(c_116,negated_conjecture,
( op(e3,e2) != e1
| ~ defn_440 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_440]) ).
cnf(c_117,negated_conjecture,
~ defn_440,
inference(resolve,[status(thm)],[c_29,c_116]) ).
cnf(c_118,negated_conjecture,
( op(e3,e3) != e0
| ~ defn_430 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_430]) ).
cnf(c_119,negated_conjecture,
~ defn_430,
inference(resolve,[status(thm)],[c_30,c_118]) ).
cnf(c_120,negated_conjecture,
( op(e3,e3) != e0
| ~ defn_420 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_420]) ).
cnf(c_121,negated_conjecture,
~ defn_420,
inference(resolve,[status(thm)],[c_30,c_120]) ).
cnf(c_124,negated_conjecture,
( op(e1,e2) != e3
| ~ defn_410 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_410]) ).
cnf(c_125,negated_conjecture,
~ defn_410,
inference(resolve,[status(thm)],[c_21,c_124]) ).
cnf(c_128,negated_conjecture,
( op(e2,e1) != e3
| ~ defn_400 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_400]) ).
cnf(c_129,negated_conjecture,
~ defn_400,
inference(resolve,[status(thm)],[c_24,c_128]) ).
cnf(c_133,negated_conjecture,
( op(e0,e2) != e2
| ~ defn_390 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_390]) ).
cnf(c_134,negated_conjecture,
~ defn_390,
inference(resolve,[status(thm)],[c_17,c_133]) ).
cnf(c_138,negated_conjecture,
( op(e2,e0) != e2
| ~ defn_380 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_380]) ).
cnf(c_139,negated_conjecture,
~ defn_380,
inference(resolve,[status(thm)],[c_23,c_138]) ).
cnf(c_140,negated_conjecture,
( op(e3,e2) != e1
| ~ defn_370 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_370]) ).
cnf(c_141,negated_conjecture,
~ defn_370,
inference(resolve,[status(thm)],[c_29,c_140]) ).
cnf(c_142,negated_conjecture,
( op(e2,e3) != e1
| ~ defn_360 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_360]) ).
cnf(c_143,negated_conjecture,
~ defn_360,
inference(resolve,[status(thm)],[c_26,c_142]) ).
cnf(c_145,negated_conjecture,
( op(e2,e2) != e0
| ~ defn_350 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_350]) ).
cnf(c_146,negated_conjecture,
~ defn_350,
inference(resolve,[status(thm)],[c_25,c_145]) ).
cnf(c_148,negated_conjecture,
( op(e2,e2) != e0
| ~ defn_340 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_340]) ).
cnf(c_149,negated_conjecture,
~ defn_340,
inference(resolve,[status(thm)],[c_25,c_148]) ).
cnf(c_151,negated_conjecture,
( op(e2,e1) != e3
| ~ defn_330 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_330]) ).
cnf(c_152,negated_conjecture,
~ defn_330,
inference(resolve,[status(thm)],[c_24,c_151]) ).
cnf(c_154,negated_conjecture,
( op(e1,e2) != e3
| ~ defn_320 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_320]) ).
cnf(c_155,negated_conjecture,
~ defn_320,
inference(resolve,[status(thm)],[c_21,c_154]) ).
cnf(c_156,negated_conjecture,
( op(e3,e1) != e2
| ~ defn_310 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_310]) ).
cnf(c_157,negated_conjecture,
~ defn_310,
inference(resolve,[status(thm)],[c_28,c_156]) ).
cnf(c_158,negated_conjecture,
( op(e1,e3) != e2
| ~ defn_300 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_300]) ).
cnf(c_159,negated_conjecture,
~ defn_300,
inference(resolve,[status(thm)],[c_22,c_158]) ).
cnf(c_163,negated_conjecture,
( op(e0,e1) != e1
| ~ defn_290 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_290]) ).
cnf(c_164,negated_conjecture,
~ defn_290,
inference(resolve,[status(thm)],[c_16,c_163]) ).
cnf(c_168,negated_conjecture,
( op(e1,e0) != e1
| ~ defn_280 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_280]) ).
cnf(c_169,negated_conjecture,
~ defn_280,
inference(resolve,[status(thm)],[c_19,c_168]) ).
cnf(c_172,negated_conjecture,
( op(e1,e1) != e0
| ~ defn_270 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_270]) ).
cnf(c_173,negated_conjecture,
~ defn_270,
inference(resolve,[status(thm)],[c_20,c_172]) ).
cnf(c_176,negated_conjecture,
( op(e1,e1) != e0
| ~ defn_260 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_260]) ).
cnf(c_177,negated_conjecture,
~ defn_260,
inference(resolve,[status(thm)],[c_20,c_176]) ).
cnf(c_178,negated_conjecture,
( op(e3,e0) != e3
| ~ defn_250 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_250]) ).
cnf(c_179,negated_conjecture,
~ defn_250,
inference(resolve,[status(thm)],[c_27,c_178]) ).
cnf(c_180,negated_conjecture,
( op(e0,e3) != e3
| ~ defn_240 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_240]) ).
cnf(c_181,negated_conjecture,
~ defn_240,
inference(resolve,[status(thm)],[c_18,c_180]) ).
cnf(c_183,negated_conjecture,
( op(e2,e0) != e2
| ~ defn_230 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_230]) ).
cnf(c_184,negated_conjecture,
~ defn_230,
inference(resolve,[status(thm)],[c_23,c_183]) ).
cnf(c_186,negated_conjecture,
( op(e0,e2) != e2
| ~ defn_220 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_220]) ).
cnf(c_187,negated_conjecture,
~ defn_220,
inference(resolve,[status(thm)],[c_17,c_186]) ).
cnf(c_190,negated_conjecture,
( op(e1,e0) != e1
| ~ defn_210 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_210]) ).
cnf(c_191,negated_conjecture,
~ defn_210,
inference(resolve,[status(thm)],[c_19,c_190]) ).
cnf(c_194,negated_conjecture,
( op(e0,e1) != e1
| ~ defn_200 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_200]) ).
cnf(c_195,negated_conjecture,
~ defn_200,
inference(resolve,[status(thm)],[c_16,c_194]) ).
cnf(c_199,negated_conjecture,
( op(e0,e0) != e0
| ~ defn_190 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_190]) ).
cnf(c_200,negated_conjecture,
~ defn_190,
inference(resolve,[status(thm)],[c_15,c_199]) ).
cnf(c_204,negated_conjecture,
( op(e0,e0) != e0
| ~ defn_180 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_180]) ).
cnf(c_205,negated_conjecture,
~ defn_180,
inference(resolve,[status(thm)],[c_15,c_204]) ).
cnf(c_211,negated_conjecture,
( unit != e0
| ~ defn_170 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_170]) ).
cnf(c_294,negated_conjecture,
( e0 != unit
| ~ defn_170 ),
inference(copy,[status(thm)],[c_211]) ).
cnf(c_212,negated_conjecture,
~ defn_170,
inference(resolve,[status(thm)],[c_32,c_294]) ).
cnf(c_216,negated_conjecture,
( op(e3,e3) != e0
| ~ defn_160 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_160]) ).
cnf(c_217,negated_conjecture,
~ defn_160,
inference(resolve,[status(thm)],[c_30,c_216]) ).
cnf(c_220,negated_conjecture,
( op(e3,e2) != e1
| ~ defn_150 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_150]) ).
cnf(c_221,negated_conjecture,
~ defn_150,
inference(resolve,[status(thm)],[c_29,c_220]) ).
cnf(c_223,negated_conjecture,
( op(e3,e1) != e2
| ~ defn_140 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_140]) ).
cnf(c_224,negated_conjecture,
~ defn_140,
inference(resolve,[status(thm)],[c_28,c_223]) ).
cnf(c_225,negated_conjecture,
( op(e3,e0) != e3
| ~ defn_130 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_130]) ).
cnf(c_226,negated_conjecture,
~ defn_130,
inference(resolve,[status(thm)],[c_27,c_225]) ).
cnf(c_229,negated_conjecture,
( op(e2,e3) != e1
| ~ defn_120 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_120]) ).
cnf(c_230,negated_conjecture,
~ defn_120,
inference(resolve,[status(thm)],[c_26,c_229]) ).
cnf(c_234,negated_conjecture,
( op(e2,e2) != e0
| ~ defn_110 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_110]) ).
cnf(c_235,negated_conjecture,
~ defn_110,
inference(resolve,[status(thm)],[c_25,c_234]) ).
cnf(c_236,negated_conjecture,
( op(e2,e1) != e3
| ~ defn_100 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_100]) ).
cnf(c_237,negated_conjecture,
~ defn_100,
inference(resolve,[status(thm)],[c_24,c_236]) ).
cnf(c_239,negated_conjecture,
( op(e2,e0) != e2
| ~ defn_90 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_90]) ).
cnf(c_240,negated_conjecture,
~ defn_90,
inference(resolve,[status(thm)],[c_23,c_239]) ).
cnf(c_242,negated_conjecture,
( op(e1,e3) != e2
| ~ defn_80 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_80]) ).
cnf(c_243,negated_conjecture,
~ defn_80,
inference(resolve,[status(thm)],[c_22,c_242]) ).
cnf(c_244,negated_conjecture,
( op(e1,e2) != e3
| ~ defn_70 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_70]) ).
cnf(c_245,negated_conjecture,
~ defn_70,
inference(resolve,[status(thm)],[c_21,c_244]) ).
cnf(c_249,negated_conjecture,
( op(e1,e1) != e0
| ~ defn_60 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_60]) ).
cnf(c_250,negated_conjecture,
~ defn_60,
inference(resolve,[status(thm)],[c_20,c_249]) ).
cnf(c_253,negated_conjecture,
( op(e1,e0) != e1
| ~ defn_50 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_50]) ).
cnf(c_254,negated_conjecture,
~ defn_50,
inference(resolve,[status(thm)],[c_19,c_253]) ).
cnf(c_255,negated_conjecture,
( op(e0,e3) != e3
| ~ defn_40 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_40]) ).
cnf(c_256,negated_conjecture,
~ defn_40,
inference(resolve,[status(thm)],[c_18,c_255]) ).
cnf(c_258,negated_conjecture,
( op(e0,e2) != e2
| ~ defn_30 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_30]) ).
cnf(c_259,negated_conjecture,
~ defn_30,
inference(resolve,[status(thm)],[c_17,c_258]) ).
cnf(c_262,negated_conjecture,
( op(e0,e1) != e1
| ~ defn_20 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_20]) ).
cnf(c_263,negated_conjecture,
~ defn_20,
inference(resolve,[status(thm)],[c_16,c_262]) ).
cnf(c_267,negated_conjecture,
( op(e0,e0) != e0
| ~ defn_10 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_10]) ).
cnf(c_268,negated_conjecture,
~ defn_10,
inference(resolve,[status(thm)],[c_15,c_267]) ).
cnf(c_272,negated_conjecture,
( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| op(e0,e0) != e0
| ~ defn_00 ),
inference(clausify,[status(thm)],[co1_neg,def_defn_00]) ).
cnf(c_295,negated_conjecture,
( op(e3,e3) != e0
| op(e2,e2) != e0
| op(e1,e1) != e0
| ~ defn_00 ),
inference(resolve,[status(thm)],[c_15,c_272]) ).
cnf(c_296,negated_conjecture,
( op(e3,e3) != e0
| op(e2,e2) != e0
| ~ defn_00 ),
inference(resolve,[status(thm)],[c_20,c_295]) ).
cnf(c_297,negated_conjecture,
( op(e3,e3) != e0
| ~ defn_00 ),
inference(resolve,[status(thm)],[c_25,c_296]) ).
cnf(c_273,negated_conjecture,
~ defn_00,
inference(resolve,[status(thm)],[c_30,c_297]) ).
cnf(c_298,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20
| defn_10 ),
inference(resolve,[status(thm)],[c_273,c_67]) ).
cnf(c_299,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30
| defn_20 ),
inference(resolve,[status(thm)],[c_268,c_298]) ).
cnf(c_300,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40
| defn_30 ),
inference(resolve,[status(thm)],[c_263,c_299]) ).
cnf(c_301,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50
| defn_40 ),
inference(resolve,[status(thm)],[c_259,c_300]) ).
cnf(c_302,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60
| defn_50 ),
inference(resolve,[status(thm)],[c_256,c_301]) ).
cnf(c_303,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70
| defn_60 ),
inference(resolve,[status(thm)],[c_254,c_302]) ).
cnf(c_304,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80
| defn_70 ),
inference(resolve,[status(thm)],[c_250,c_303]) ).
cnf(c_305,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90
| defn_80 ),
inference(resolve,[status(thm)],[c_245,c_304]) ).
cnf(c_306,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100
| defn_90 ),
inference(resolve,[status(thm)],[c_243,c_305]) ).
cnf(c_307,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110
| defn_100 ),
inference(resolve,[status(thm)],[c_240,c_306]) ).
cnf(c_308,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120
| defn_110 ),
inference(resolve,[status(thm)],[c_237,c_307]) ).
cnf(c_309,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130
| defn_120 ),
inference(resolve,[status(thm)],[c_235,c_308]) ).
cnf(c_310,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140
| defn_130 ),
inference(resolve,[status(thm)],[c_230,c_309]) ).
cnf(c_311,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150
| defn_140 ),
inference(resolve,[status(thm)],[c_226,c_310]) ).
cnf(c_312,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160
| defn_150 ),
inference(resolve,[status(thm)],[c_224,c_311]) ).
cnf(c_313,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| defn_160 ),
inference(resolve,[status(thm)],[c_221,c_312]) ).
cnf(c_314,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| defn_170
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_217,c_313]) ).
cnf(c_315,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| defn_180
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_212,c_314]) ).
cnf(c_316,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| defn_190
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_205,c_315]) ).
cnf(c_317,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| defn_200
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_200,c_316]) ).
cnf(c_318,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| defn_210
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_195,c_317]) ).
cnf(c_319,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| defn_220
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_191,c_318]) ).
cnf(c_320,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| defn_230
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_187,c_319]) ).
cnf(c_321,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| defn_240
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_184,c_320]) ).
cnf(c_322,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| defn_250
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_181,c_321]) ).
cnf(c_323,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| defn_260
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_179,c_322]) ).
cnf(c_324,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| defn_270
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_177,c_323]) ).
cnf(c_325,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| defn_280
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_173,c_324]) ).
cnf(c_326,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| defn_290
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_169,c_325]) ).
cnf(c_327,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| defn_300
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_164,c_326]) ).
cnf(c_328,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| defn_310
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_159,c_327]) ).
cnf(c_329,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| defn_320
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_157,c_328]) ).
cnf(c_330,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| defn_330
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_155,c_329]) ).
cnf(c_331,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| defn_340
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_152,c_330]) ).
cnf(c_332,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| defn_350
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_149,c_331]) ).
cnf(c_333,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| defn_360
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_146,c_332]) ).
cnf(c_334,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| defn_370
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_143,c_333]) ).
cnf(c_335,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| defn_380
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_141,c_334]) ).
cnf(c_336,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| defn_390
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_139,c_335]) ).
cnf(c_337,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| defn_400
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_134,c_336]) ).
cnf(c_338,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| defn_410
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_129,c_337]) ).
cnf(c_339,negated_conjecture,
( defn_450
| defn_440
| defn_430
| defn_420
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_125,c_338]) ).
cnf(c_340,negated_conjecture,
( defn_450
| defn_440
| defn_430
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_121,c_339]) ).
cnf(c_341,negated_conjecture,
( defn_450
| defn_440
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_119,c_340]) ).
cnf(c_342,negated_conjecture,
( defn_450
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_117,c_341]) ).
cnf(c_274,negated_conjecture,
( op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0 ),
inference(resolve,[status(thm)],[c_114,c_342]) ).
cnf(c_278,plain,
op(unit,e0) = e0,
inference(paramod,[status(thm)],[c_32,c_15]) ).
cnf(c_279,plain,
op(e0,unit) = e0,
inference(paramod,[status(thm)],[c_32,c_15]) ).
cnf(c_281,plain,
op(unit,e1) = e1,
inference(paramod,[status(thm)],[c_32,c_16]) ).
cnf(c_282,plain,
op(unit,e2) = e2,
inference(paramod,[status(thm)],[c_32,c_17]) ).
cnf(c_283,plain,
op(unit,e3) = e3,
inference(paramod,[status(thm)],[c_32,c_18]) ).
cnf(c_284,plain,
op(e1,unit) = e1,
inference(paramod,[status(thm)],[c_32,c_19]) ).
cnf(c_286,plain,
op(e2,unit) = e2,
inference(paramod,[status(thm)],[c_32,c_23]) ).
cnf(c_288,plain,
op(e3,unit) = e3,
inference(paramod,[status(thm)],[c_32,c_27]) ).
cnf(c_343,negated_conjecture,
( op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0 ),
inference(resolve,[status(thm)],[c_278,c_274]) ).
cnf(c_344,negated_conjecture,
( op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1 ),
inference(resolve,[status(thm)],[c_279,c_343]) ).
cnf(c_345,negated_conjecture,
( op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1 ),
inference(resolve,[status(thm)],[c_281,c_344]) ).
cnf(c_346,negated_conjecture,
( op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2 ),
inference(resolve,[status(thm)],[c_284,c_345]) ).
cnf(c_347,negated_conjecture,
( op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2 ),
inference(resolve,[status(thm)],[c_282,c_346]) ).
cnf(c_348,negated_conjecture,
( op(e3,unit) != e3
| op(unit,e3) != e3 ),
inference(resolve,[status(thm)],[c_286,c_347]) ).
cnf(c_349,negated_conjecture,
op(e3,unit) != e3,
inference(resolve,[status(thm)],[c_283,c_348]) ).
cnf(c_290,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_288,c_349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG043+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 21:01:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 3098047 was started by sandbox on n005,
% 0.08/0.36 % Sat Sep 26 21:01:31 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.96/2.26
% 1.96/2.26 % From the command line: assign(max_seconds, 300).
% 2.02/2.31
% 2.02/2.31 % SZS status Theorem for theBenchmark
% 2.02/2.31
% 2.02/2.31 % Proof 1 at 0.03 (+ 0.00) seconds.
% 2.02/2.31 % Length of proof is 124.
% 2.02/2.31 % Level of proof is 4.
% 2.02/2.31 % Maximum clause weight is 96.000.
% 2.02/2.31 % Given clauses 23.
% 2.02/2.31
% 2.02/2.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------