%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG142+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 : Thu Sep 24 11:53:15 AM UTC 2026
% Result : Unsatisfiable 4.52s 1.30s
% Output : CNFRefutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 12
% Syntax : Number of formulae : 504 ( 64 unt; 0 def)
% Number of atoms : 2451 (2450 equ)
% Maximal formula atoms : 256 ( 4 avg)
% Number of connectives : 2570 ( 623 ~;1630 |; 317 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5,axiom,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 ) )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 ) )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 ) )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax2,axiom,
( ( 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 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( ( 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 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax28,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(ax22,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(ax6,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax15,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(ax21,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(ax26,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(ax19,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(c_0_12,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e2,e3) != e2
& op(e2,e2) = e3 )
| ( op(e1,e3) != e1
& op(e1,e1) = e3 )
| ( op(e0,e3) != e0
& op(e0,e0) = e3 ) )
& ( ( op(e3,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e1,e2) != e1
& op(e1,e1) = e2 )
| ( op(e0,e2) != e0
& op(e0,e0) = e2 ) )
& ( ( op(e3,e1) != e3
& op(e3,e3) = e1 )
| ( op(e2,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e0,e1) != e0
& op(e0,e0) = e1 ) )
& ( ( op(e3,e0) != e3
& op(e3,e3) = e0 )
| ( op(e2,e0) != e2
& op(e2,e2) = e0 )
| ( op(e1,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_13,plain,
( ( op(e0,e3) != e0
| op(e1,e3) != e1
| op(e2,e3) != e2
| op(e3,e3) != e3 )
& ( op(e0,e3) != e0
| op(e1,e3) != e1
| op(e2,e3) != e2
| op(e3,e3) = e3 )
& ( op(e0,e3) != e0
| op(e1,e3) != e1
| op(e2,e2) = e3
| op(e3,e3) != e3 )
& ( op(e0,e3) != e0
| op(e1,e3) != e1
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) != e0
| op(e1,e1) = e3
| op(e2,e3) != e2
| op(e3,e3) != e3 )
& ( op(e0,e3) != e0
| op(e1,e1) = e3
| op(e2,e3) != e2
| op(e3,e3) = e3 )
& ( op(e0,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) != e3 )
& ( op(e0,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e3) != e1
| op(e2,e3) != e2
| op(e3,e3) != e3 )
& ( op(e0,e0) = e3
| op(e1,e3) != e1
| op(e2,e3) != e2
| op(e3,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e3) != e1
| op(e2,e2) = e3
| op(e3,e3) != e3 )
& ( op(e0,e0) = e3
| op(e1,e3) != e1
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e3) != e2
| op(e3,e3) != e3 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e3) != e2
| op(e3,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) != e3 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e2) != e0
| op(e1,e2) != e1
| op(e2,e2) != e2
| op(e3,e2) != e3 )
& ( op(e0,e2) != e0
| op(e1,e2) != e1
| op(e2,e2) != e2
| op(e3,e3) = e2 )
& ( op(e0,e2) != e0
| op(e1,e2) != e1
| op(e2,e2) = e2
| op(e3,e2) != e3 )
& ( op(e0,e2) != e0
| op(e1,e2) != e1
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e2) != e0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e2) != e3 )
& ( op(e0,e2) != e0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e3) = e2 )
& ( op(e0,e2) != e0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e2) != e3 )
& ( op(e0,e2) != e0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e2) != e1
| op(e2,e2) != e2
| op(e3,e2) != e3 )
& ( op(e0,e0) = e2
| op(e1,e2) != e1
| op(e2,e2) != e2
| op(e3,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e2) != e1
| op(e2,e2) = e2
| op(e3,e2) != e3 )
& ( op(e0,e0) = e2
| op(e1,e2) != e1
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e2) != e3 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e2) != e3 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e1) != e0
| op(e1,e1) != e1
| op(e2,e1) != e2
| op(e3,e1) != e3 )
& ( op(e0,e1) != e0
| op(e1,e1) != e1
| op(e2,e1) != e2
| op(e3,e3) = e1 )
& ( op(e0,e1) != e0
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e3,e1) != e3 )
& ( op(e0,e1) != e0
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e1) != e0
| op(e1,e1) = e1
| op(e2,e1) != e2
| op(e3,e1) != e3 )
& ( op(e0,e1) != e0
| op(e1,e1) = e1
| op(e2,e1) != e2
| op(e3,e3) = e1 )
& ( op(e0,e1) != e0
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e1) != e3 )
& ( op(e0,e1) != e0
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e1) != e1
| op(e2,e1) != e2
| op(e3,e1) != e3 )
& ( op(e0,e0) = e1
| op(e1,e1) != e1
| op(e2,e1) != e2
| op(e3,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e3,e1) != e3 )
& ( op(e0,e0) = e1
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e1) != e2
| op(e3,e1) != e3 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e1) != e2
| op(e3,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e1) != e3 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e2,e0) != e2
| op(e3,e0) != e3 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e2,e0) != e2
| op(e3,e3) = e0 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e2,e2) = e0
| op(e3,e0) != e3 )
& ( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e0) != e2
| op(e3,e0) != e3 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e0) != e2
| op(e3,e3) = e0 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e0) != e3 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) != e1
| op(e2,e0) != e2
| op(e3,e0) != e3 )
& ( op(e0,e0) = e0
| op(e1,e0) != e1
| op(e2,e0) != e2
| op(e3,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) != e1
| op(e2,e2) = e0
| op(e3,e0) != e3 )
& ( op(e0,e0) = e0
| op(e1,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e0) != e2
| op(e3,e0) != e3 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e0) != e2
| op(e3,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e0) != e3 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_14,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax4]) ).
fof(c_0_15,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_simplification,[status(thm)],[ax3]) ).
cnf(c_0_16,plain,
( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_nnf,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( op(e2,e2) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
( op(e2,e3) != e2
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( op(e2,e3) != e2
| op(e3,e3) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_26,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( op(e3,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,plain,
( op(e2,e2) != e2
| op(e3,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_33,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,plain,
( op(e3,e0) != e3
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_35,plain,
( op(e0,e0) != e0
| op(e3,e0) != e3
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_36,plain,
( op(e3,e3) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_37,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_38,plain,
( op(e2,e3) != e2
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_39,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_40,plain,
( op(e2,e0) != e2
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_41,plain,
( op(e0,e0) != e0
| op(e2,e0) != e2
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,plain,
( op(e3,e0) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_43,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_44,plain,
( op(e3,e1) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_45,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_46,plain,
( op(e3,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_47,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_48,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_49,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_32]),c_0_33]) ).
cnf(c_0_50,plain,
( op(e3,e0) != e3
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_51,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_52,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_53,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_54,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_55,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e3) = e2
| op(e0,e3) = e2
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_56,plain,
( op(e2,e0) != e2
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_57,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_58,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_59,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e2,e1) = e2 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_60,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_24]),c_0_26]) ).
cnf(c_0_61,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_62,plain,
( op(e2,e2) != e3
| op(e1,e3) = e3
| op(e0,e3) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_63,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_64,plain,
( op(e2,e0) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_65,plain,
( op(e3,e2) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_54,c_0_28]) ).
cnf(c_0_66,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_67,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_68,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e1) = e0
| op(e0,e3) = e2
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_55]),c_0_33]) ).
cnf(c_0_69,plain,
( op(e1,e1) = e0
| op(e3,e3) = e0
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_70,plain,
( op(e2,e0) != e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_71,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_72,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_33]) ).
cnf(c_0_73,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_74,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_75,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_76,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_77,plain,
( op(e1,e1) = e0
| op(e0,e3) = e3
| op(e1,e3) = e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_53]),c_0_33]) ).
cnf(c_0_78,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_63]),c_0_33]),c_0_64]) ).
cnf(c_0_79,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_80,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_81,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_82,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_83,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,op(e1,e1)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_84,plain,
( op(e1,e1) != e2
| op(e0,e3) = e2
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_85,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_69]),c_0_26]) ).
cnf(c_0_86,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_87,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_70,c_0_57]) ).
cnf(c_0_88,plain,
( op(e1,e1) != e3
| op(e0,e2) = e3
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_89,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_90,plain,
( op(e3,e0) != e3
| op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_91,plain,
( op(e2,e1) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_75,c_0_53]) ).
fof(c_0_92,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
cnf(c_0_93,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e3) = e3
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_94,plain,
( op(e0,e2) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_79,c_0_53]) ).
cnf(c_0_95,plain,
( op(e0,e0) != e3
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_96,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_97,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_82]),c_0_26]) ).
cnf(c_0_98,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,op(e1,e1)) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_99,plain,
( op(e0,e0) = e3
| op(e0,e3) = e2
| op(e1,e1) = e0
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_26]) ).
cnf(c_0_100,plain,
( op(e0,e0) = e3
| op(e0,e3) = e2
| op(e1,e0) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_87]),c_0_86]),c_0_26]) ).
cnf(c_0_101,plain,
( op(e0,e0) = e2
| op(e0,e2) = e3
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_33]),c_0_86]) ).
cnf(c_0_102,plain,
( op(e1,e1) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3
| op(e1,e0) = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_51]),c_0_64]),c_0_91]) ).
cnf(c_0_103,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_104,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_105,plain,
( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_106,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_107,plain,
( op(e3,e1) != e3
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_108,plain,
( op(e1,e1) != e1
| op(e3,e1) != e3
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_109,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_110,plain,
( op(e0,e0) = e2
| op(e0,e2) = e3
| op(e1,e1) = e0
| op(e0,e3) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_93]),c_0_33]),c_0_86]) ).
cnf(c_0_111,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_112,plain,
( op(e1,e0) = e2
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e3) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_93]),c_0_33]),c_0_86]) ).
cnf(c_0_113,plain,
( op(e1,e1) = e3
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_81]),c_0_95]) ).
cnf(c_0_114,plain,
( op(e0,e2) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_85]) ).
cnf(c_0_115,plain,
( op(e1,e0) != e3
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e0,e3) = e2
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_116,plain,
( op(e0,e2) = e3
| op(e0,e0) = e2
| op(e1,e0) = e3
| op(e0,e0) = e3
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_86]),c_0_103]),c_0_33]) ).
cnf(c_0_117,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_118,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e1) = e3
| op(e3,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_104]),c_0_33]),c_0_50]) ).
cnf(c_0_119,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(csr,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_120,plain,
( op(e3,e1) != e3
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_121,plain,
( op(e1,e0) != e2
| op(e0,e0) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_122,plain,
( op(e1,e0) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_112]),c_0_26]) ).
cnf(c_0_123,plain,
( op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_86]) ).
cnf(c_0_124,plain,
( op(e0,e0) = e3
| op(e0,e3) = e2
| op(e0,e0) = e2
| op(e0,e1) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_86]) ).
cnf(c_0_125,plain,
( op(e2,e2) != e3
| op(e3,e1) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_126,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e3
| op(e3,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_104]),c_0_103]),c_0_120]) ).
cnf(c_0_127,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_128,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_129,plain,
( op(e2,e1) != e2
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_130,plain,
( op(e1,e1) != e1
| op(e2,e1) != e2
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_131,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_132,plain,
( op(e0,e0) = e2
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e0) = e3
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_133,plain,
( op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_123]),c_0_33]) ).
cnf(c_0_134,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_124]),c_0_86]) ).
cnf(c_0_135,plain,
( op(e1,e1) = e0
| op(e3,e1) = e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_53]),c_0_33]) ).
cnf(c_0_136,plain,
( op(e2,e2) != e3
| op(e3,e0) = e3
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_117,c_0_126]) ).
cnf(c_0_137,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_28]),c_0_127]) ).
cnf(c_0_138,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_139,plain,
( op(e2,e3) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_128,c_0_28]) ).
cnf(c_0_140,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_141,plain,
( op(e2,e1) != e2
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(csr,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_142,plain,
( op(e0,e1) != e3
| op(e0,e1) = e2
| op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_143,plain,
( op(e0,e0) = e2
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_33]),c_0_103]),c_0_86]) ).
cnf(c_0_144,plain,
( op(e3,e0) != e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_73,c_0_135]) ).
cnf(c_0_145,plain,
( op(e0,e0) = e1
| op(e3,e0) = e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_53]),c_0_103]) ).
cnf(c_0_146,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_60]),c_0_138]) ).
cnf(c_0_147,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_137]),c_0_103]) ).
cnf(c_0_148,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_149,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_141,c_0_59]) ).
cnf(c_0_150,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_151,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_152,plain,
( op(e0,e0) = e2
| op(e0,e2) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_86]) ).
cnf(c_0_153,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_154,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_155,plain,
( op(e1,e1) = e0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_156,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_33]),c_0_86]) ).
cnf(c_0_157,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_158,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_148]),c_0_127]) ).
cnf(c_0_159,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_149]),c_0_127]) ).
cnf(c_0_160,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_161,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_162,plain,
( op(e0,e0) != e3
| op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_163,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_152]),c_0_33]),c_0_103]),c_0_86]) ).
cnf(c_0_164,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_165,plain,
( op(e0,e0) != e3
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_166,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_86]),c_0_26]) ).
cnf(c_0_167,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_168,plain,
( op(e2,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).
cnf(c_0_169,plain,
( op(e0,e0) != e3
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_170,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_171,plain,
( op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_172,plain,
( op(e1,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_164,c_0_146]) ).
cnf(c_0_173,plain,
( op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_174,plain,
( op(e1,e0) != e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_175,plain,
( op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_169,c_0_163]) ).
cnf(c_0_176,plain,
( op(e1,e0) != e2
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_177,plain,
( op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_165,c_0_163]) ).
cnf(c_0_178,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_179,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_174,c_0_173]) ).
cnf(c_0_180,plain,
( op(e1,e0) != e2
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_167,c_0_175]) ).
cnf(c_0_181,plain,
( op(e3,e0) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_182,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_26]) ).
cnf(c_0_183,plain,
( op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_180,c_0_177]) ).
cnf(c_0_184,plain,
( op(e1,e0) != e1
| op(e2,e0) != e2
| op(e0,e0) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_185,plain,
( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e2,e0) != e2
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_186,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_42,c_0_171]) ).
cnf(c_0_187,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_188,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| op(e0,e0) = e2
| op(e3,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_181]),c_0_182]) ).
cnf(c_0_189,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_183]),c_0_182]) ).
cnf(c_0_190,plain,
( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_191,plain,
( op(e1,e0) != e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_170,c_0_186]) ).
cnf(c_0_192,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).
cnf(c_0_193,plain,
( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_28]),c_0_26]) ).
cnf(c_0_194,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_195,plain,
( op(e2,e0) != e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_193,c_0_192]) ).
cnf(c_0_196,plain,
( op(e2,e0) != e0
| op(e1,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_187,c_0_194]) ).
cnf(c_0_197,plain,
( op(e2,e0) != e2
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_187,c_0_171]) ).
cnf(c_0_198,plain,
( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_27,c_0_190]) ).
cnf(c_0_199,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_200,plain,
( op(e1,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_175]),c_0_196]) ).
cnf(c_0_201,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_202,plain,
( op(e3,e1) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_203,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_204,plain,
( op(e3,e0) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_197,c_0_175]) ).
cnf(c_0_205,plain,
( op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_206,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_200]),c_0_192]) ).
cnf(c_0_207,plain,
( op(e1,e3) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_201,c_0_24]) ).
cnf(c_0_208,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_209,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_210,plain,
( op(e1,e0) != e1
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_170,c_0_204]) ).
cnf(c_0_211,plain,
( op(e2,e0) != e2
| op(e2,e0) = e0
| op(e0,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_192]),c_0_138]) ).
cnf(c_0_212,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_43]),c_0_26]) ).
cnf(c_0_213,plain,
( op(e1,e0) != e2
| op(e1,e0) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_164,c_0_206]) ).
cnf(c_0_214,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_215,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_216,plain,
( op(e3,e0) != e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_73,c_0_203]) ).
cnf(c_0_217,plain,
( op(e2,e0) != e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_52,c_0_209]) ).
cnf(c_0_218,plain,
( op(e3,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_210,c_0_192]) ).
cnf(c_0_219,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0
| op(e0,e0) = e0
| op(e2,e0) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_26]),c_0_213]) ).
cnf(c_0_220,plain,
( op(e0,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_221,plain,
( op(e0,e3) != e0
| op(e3,e3) != e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_222,plain,
( op(e0,e3) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_214,c_0_24]) ).
cnf(c_0_223,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_224,plain,
( op(e2,e1) != e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_75,c_0_215]) ).
cnf(c_0_225,plain,
( op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e1,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_199]),c_0_217]) ).
cnf(c_0_226,plain,
( op(e1,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_218]),c_0_219]) ).
cnf(c_0_227,plain,
( op(e0,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_228,plain,
( op(e1,e1) = e0
| op(e3,e3) = e0
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_56,c_0_175]) ).
cnf(c_0_229,plain,
( op(e2,e0) != e0
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_52,c_0_60]) ).
cnf(c_0_230,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_231,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_232,plain,
( op(e1,e1) = e0
| op(e1,e0) = e0
| op(e1,e2) = e0
| op(e0,e0) = e0
| op(e0,e1) = e0 ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_233,plain,
( op(e0,e0) = e2
| op(e2,e0) = e0
| op(e1,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_226]),c_0_192]) ).
cnf(c_0_234,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_235,plain,
( op(e3,e1) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_29,c_0_119]) ).
cnf(c_0_236,plain,
( op(e1,e1) = e3
| op(e2,e2) = e3
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_227,c_0_223]) ).
cnf(c_0_237,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e0) = e1
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_228]),c_0_26]),c_0_229]) ).
cnf(c_0_238,plain,
( op(e2,e1) != e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_75,c_0_230]) ).
cnf(c_0_239,plain,
( op(e0,e2) != e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e1,e0) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_240,plain,
( op(e1,e1) = e0
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e1,e0) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_217,c_0_233]) ).
cnf(c_0_241,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_242,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e1) = e0
| op(e3,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_234]),c_0_235]) ).
cnf(c_0_243,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_244,plain,
( op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_236]),c_0_33]) ).
cnf(c_0_245,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_237]),c_0_146]) ).
cnf(c_0_246,plain,
( op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e1,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_225]),c_0_239]) ).
cnf(c_0_247,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0
| op(e0,e1) = e0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_240]),c_0_233]) ).
cnf(c_0_248,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_249,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_250,plain,
( op(e1,e1) != e2
| op(e3,e1) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_251,plain,
( op(e0,e1) != e2
| op(e3,e1) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_243,c_0_242]) ).
cnf(c_0_252,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_86]),c_0_26]) ).
cnf(c_0_253,plain,
( op(e1,e0) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_206]),c_0_26]) ).
cnf(c_0_254,plain,
( op(e1,e0) = e0
| op(e0,e0) = e2
| op(e0,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_247]),c_0_26]) ).
cnf(c_0_255,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_235,c_0_248]) ).
cnf(c_0_256,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e2) = e0
| op(e3,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_249]),c_0_65]) ).
fof(c_0_257,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,op(e3,e3)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])]) ).
cnf(c_0_258,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_259,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_260,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e1) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_159]),c_0_251]) ).
cnf(c_0_261,plain,
( op(e0,e2) != e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_79,c_0_209]) ).
cnf(c_0_262,plain,
( op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_252]),c_0_253]) ).
cnf(c_0_263,plain,
( op(e0,e0) != e0
| op(e0,e1) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_254]) ).
cnf(c_0_264,plain,
( op(e3,e0) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_27,c_0_119]) ).
cnf(c_0_265,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_266,plain,
( op(e3,e0) != e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_73,c_0_248]) ).
cnf(c_0_267,plain,
( op(e2,e0) != e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_52,c_0_255]) ).
cnf(c_0_268,plain,
( op(e2,e2) != e1
| op(e3,e2) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_117,c_0_256]) ).
cnf(c_0_269,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,op(e3,e3)) ),
inference(split_conjunct,[status(thm)],[c_0_257]) ).
cnf(c_0_270,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_271,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_272,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_258]),c_0_138]) ).
cnf(c_0_273,plain,
( op(e2,e1) != e0
| op(e0,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_274,plain,
( op(e1,e1) = e0
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).
cnf(c_0_275,plain,
( op(e1,e1) != e0
| op(e0,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_241,c_0_260]) ).
cnf(c_0_276,plain,
( op(e0,e1) != e0
| op(e0,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_243,c_0_260]) ).
cnf(c_0_277,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_278,plain,
( op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e1,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_265]),c_0_267]) ).
cnf(c_0_279,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_280,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e2) = e0
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_268,c_0_137]) ).
cnf(c_0_281,plain,
( op(e0,e3) != e0
| op(e1,e3) != e1
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_282,plain,
( op(e0,e3) != e0
| op(e1,e3) != e1
| op(e3,e3) != e3
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_283,plain,
( op(e2,e3) != e1
| op(e3,e2) != e0
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_269,c_0_28]) ).
cnf(c_0_284,plain,
( op(e0,e0) != e3
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_285,plain,
( op(e1,e3) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_201,c_0_28]) ).
cnf(c_0_286,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_287,plain,
( op(e2,e2) != e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_48,c_0_272]) ).
cnf(c_0_288,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275]),c_0_276]) ).
cnf(c_0_289,plain,
( op(e2,e1) != e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_75,c_0_277]) ).
cnf(c_0_290,plain,
( op(e2,e0) != e1
| op(e1,e0) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e1) = e1 ),
inference(spm,[status(thm)],[c_0_58,c_0_278]) ).
cnf(c_0_291,plain,
( op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_162,c_0_166]) ).
cnf(c_0_292,plain,
( op(e3,e0) != e0
| op(e0,e0) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
fof(c_0_293,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(e0,op(e0,e0)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])]) ).
cnf(c_0_294,plain,
( op(e1,e3) != e1
| op(e0,e3) != e0
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_295,plain,
( op(e2,e3) != e1
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_283,c_0_280]) ).
cnf(c_0_296,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_258]),c_0_127]) ).
cnf(c_0_297,plain,
( op(e0,e3) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_214,c_0_28]) ).
cnf(c_0_298,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_284,c_0_166]) ).
cnf(c_0_299,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_300,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_61]),c_0_103]) ).
cnf(c_0_301,plain,
( op(e1,e1) = e0
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_138]) ).
cnf(c_0_302,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e0,e1) = e1
| op(e1,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_278]),c_0_290]) ).
cnf(c_0_303,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_291]),c_0_292]) ).
cnf(c_0_304,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),e0)
| e1 != op(e0,op(e0,e0)) ),
inference(split_conjunct,[status(thm)],[c_0_293]) ).
cnf(c_0_305,plain,
( op(e1,e3) != e1
| op(e0,e3) != e0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_79,c_0_294]) ).
cnf(c_0_306,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_307,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e3) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_308,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e2) = e3
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_86]),c_0_174]) ).
cnf(c_0_309,plain,
( op(e1,e0) != e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e1
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_76,c_0_301]) ).
cnf(c_0_310,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e1) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_302]),c_0_138]),c_0_127]) ).
cnf(c_0_311,plain,
( op(e1,e0) != e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_170,c_0_303]) ).
cnf(c_0_312,plain,
( op(e2,e3) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_128,c_0_119]) ).
cnf(c_0_313,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_314,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_315,plain,
( op(e3,e0) != e2
| op(e0,e3) != e1
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_304,c_0_163]) ).
cnf(c_0_316,plain,
( op(e0,e3) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]),c_0_308]) ).
cnf(c_0_317,plain,
( op(e1,e1) = e0
| op(e0,e3) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_318,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_311,c_0_310]) ).
cnf(c_0_319,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2 ),
inference(spm,[status(thm)],[c_0_38,c_0_140]) ).
cnf(c_0_320,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e2,e0) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_321,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_322,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_323,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_314]),c_0_138]) ).
cnf(c_0_324,plain,
( op(e0,e3) != e1
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_315,c_0_43]) ).
cnf(c_0_325,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e1
| op(e0,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_26]) ).
cnf(c_0_326,plain,
( op(e1,e0) != e2
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_164,c_0_318]) ).
cnf(c_0_327,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_319]),c_0_86]) ).
cnf(c_0_328,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e1) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_320]),c_0_103]) ).
cnf(c_0_329,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_321]),c_0_138]) ).
cnf(c_0_330,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_322]),c_0_127]) ).
cnf(c_0_331,plain,
( op(e2,e2) != e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_117,c_0_323]) ).
cnf(c_0_332,plain,
( op(e2,e0) = e2
| op(e0,e0) = e2
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]) ).
cnf(c_0_333,plain,
( op(e0,e0) != e1
| op(e1,e0) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_192]) ).
cnf(c_0_334,plain,
( op(e2,e0) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e0) = e1
| op(e2,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_127]) ).
cnf(c_0_335,plain,
( op(e3,e1) = e0
| op(e3,e0) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_126]),c_0_33]) ).
cnf(c_0_336,plain,
( op(e3,e1) = e2
| op(e3,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e1
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_126]),c_0_86]) ).
cnf(c_0_337,plain,
( op(e1,e1) = e0
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_288]),c_0_138]) ).
cnf(c_0_338,plain,
( op(e1,e0) = e0
| op(e0,e0) = e2
| op(e0,e1) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_332]),c_0_26]),c_0_333]) ).
cnf(c_0_339,plain,
( op(e2,e0) = e1
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_334]),c_0_166]) ).
cnf(c_0_340,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_341,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_342,plain,
( op(e3,e0) = e3
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_26]) ).
cnf(c_0_343,plain,
( op(e0,e1) != e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e0) = e1
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_243,c_0_337]) ).
cnf(c_0_344,plain,
( op(e0,e1) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_338]),c_0_138]) ).
cnf(c_0_345,plain,
( op(e1,e0) != e1
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_167,c_0_339]) ).
cnf(c_0_346,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_302]),c_0_103]),c_0_138]) ).
cnf(c_0_347,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_348,plain,
( op(e0,e0) != e3
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_349,plain,
( op(e0,e0) != e3
| op(e3,e0) = e2
| op(e3,e0) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_150,c_0_342]) ).
cnf(c_0_350,plain,
( op(e1,e1) = e0
| op(e3,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_351,plain,
( op(e3,e2) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_54,c_0_24]) ).
cnf(c_0_352,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_353,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_354,plain,
( op(e0,e1) != e2
| op(e0,e0) = e1
| op(e0,e2) = e3
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_347,c_0_308]) ).
cnf(c_0_355,plain,
( op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_348,c_0_166]) ).
cnf(c_0_356,plain,
( op(e2,e2) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_163]),c_0_103]) ).
cnf(c_0_357,plain,
( op(e1,e0) != e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_170,c_0_350]) ).
cnf(c_0_358,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_359,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_284,c_0_163]) ).
cnf(c_0_360,plain,
( op(e0,e1) != e3
| op(e0,e1) = e1
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_347,c_0_353]) ).
cnf(c_0_361,plain,
( op(e0,e0) = e2
| op(e0,e2) = e3
| op(e0,e0) = e1
| op(e0,e1) = e0
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_362,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_363,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_42,c_0_356]) ).
cnf(c_0_364,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_192]),c_0_333]) ).
cnf(c_0_365,plain,
( op(e2,e1) != e0
| op(e1,e2) = e0
| op(e0,e2) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_75,c_0_358]) ).
cnf(c_0_366,plain,
( op(e0,e1) != e2
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_131,c_0_359]) ).
cnf(c_0_367,plain,
( op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_348,c_0_163]) ).
cnf(c_0_368,plain,
( op(e0,e0) = e1
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_341]),c_0_103]),c_0_348]) ).
cnf(c_0_369,plain,
( op(e0,e0) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_361]),c_0_33]),c_0_103]),c_0_86]) ).
cnf(c_0_370,plain,
( op(e0,e1) != e2
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_362,c_0_133]) ).
cnf(c_0_371,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_314]),c_0_127]) ).
cnf(c_0_372,plain,
( op(e1,e0) != e0
| op(e2,e2) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_170,c_0_363]) ).
cnf(c_0_373,plain,
( op(e1,e0) = e0
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_364]),c_0_26]) ).
cnf(c_0_374,plain,
( op(e1,e2) = e0
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_288]),c_0_138]) ).
cnf(c_0_375,plain,
( op(e1,e1) = e0
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e0,e0) = e2
| op(e0,e1) = e0 ),
inference(spm,[status(thm)],[c_0_365,c_0_274]) ).
cnf(c_0_376,plain,
( op(e0,e3) = e1
| op(e0,e3) = e0
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_377,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_368]),c_0_369]) ).
cnf(c_0_378,plain,
( op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e1) = e1 ),
inference(spm,[status(thm)],[c_0_370,c_0_367]) ).
cnf(c_0_379,plain,
( op(e2,e2) != e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_117,c_0_371]) ).
cnf(c_0_380,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_381,plain,
( op(e1,e0) != e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_96,c_0_374]) ).
cnf(c_0_382,plain,
( op(e0,e1) = e0
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_375]),c_0_254]) ).
cnf(c_0_383,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_384,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e2
| op(e0,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_376]),c_0_377]) ).
cnf(c_0_385,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e2
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_378]),c_0_377]) ).
cnf(c_0_386,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e3
| op(e3,e1) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_104]),c_0_86]),c_0_46]) ).
cnf(c_0_387,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e1
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_379,c_0_380]) ).
cnf(c_0_388,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_389,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_268,c_0_380]) ).
cnf(c_0_390,plain,
( op(e0,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_381,c_0_373]) ).
cnf(c_0_391,plain,
( op(e0,e2) = e0
| op(e0,e0) = e2
| op(e0,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_382]),c_0_254]) ).
cnf(c_0_392,plain,
( op(e1,e0) != e1
| op(e3,e0) != e3
| op(e0,e0) = e0
| op(e2,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_393,plain,
( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e3,e0) != e3
| op(e2,e2) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_394,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,op(e0,e0)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).
cnf(c_0_395,plain,
( op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_384]),c_0_385]) ).
cnf(c_0_396,plain,
( op(e3,e0) = e3
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_103]) ).
cnf(c_0_397,plain,
( op(e0,e2) != e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_398,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_390]),c_0_391]) ).
cnf(c_0_399,plain,
( op(e3,e0) != e3
| op(e1,e0) != e1
| op(e2,e2) = e0 ),
inference(csr,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_400,plain,
( op(e0,e3) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_214,c_0_119]) ).
cnf(c_0_401,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_402,plain,
( op(e2,e3) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_128,c_0_24]) ).
cnf(c_0_403,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_404,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),e0)
| e2 != op(e0,op(e0,e0)) ),
inference(split_conjunct,[status(thm)],[c_0_394]) ).
cnf(c_0_405,plain,
( op(e0,e0) != e1
| op(e0,e1) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_340,c_0_395]) ).
cnf(c_0_406,plain,
( op(e0,e0) = e2
| op(e3,e0) = e1
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_396]),c_0_33]),c_0_103]),c_0_86]) ).
cnf(c_0_407,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_408,plain,
( op(e1,e0) != e1
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_409,plain,
( op(e0,e0) != e0
| op(e1,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_410,plain,
( op(e1,e0) != e1
| op(e2,e2) = e0
| op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_399,c_0_51]) ).
cnf(c_0_411,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_400,c_0_401]) ).
cnf(c_0_412,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e2,e0) = e0
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_413,plain,
( op(e2,e0) != e2
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_187,c_0_356]) ).
cnf(c_0_414,plain,
( op(e3,e0) != e1
| op(e0,e3) != e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_404,c_0_163]) ).
cnf(c_0_415,plain,
( op(e1,e1) = e0
| op(e3,e0) = e1
| op(e0,e0) = e2
| op(e0,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_377]),c_0_405]) ).
cnf(c_0_416,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_406]),c_0_407]) ).
cnf(c_0_417,plain,
( op(e1,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[c_0_408,c_0_409]) ).
cnf(c_0_418,plain,
( op(e2,e0) = e3
| op(e0,e0) = e3
| op(e2,e2) = e0
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_346]),c_0_103]) ).
cnf(c_0_419,plain,
( op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e2,e1) = e0
| op(e2,e0) = e0
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_138]) ).
cnf(c_0_420,plain,
( op(e3,e0) != e0
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_27,c_0_228]) ).
cnf(c_0_421,plain,
( op(e2,e2) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_413,c_0_175]) ).
cnf(c_0_422,plain,
( op(e0,e3) != e2
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_423,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_424,plain,
( op(e0,e1) != e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_347,c_0_416]) ).
cnf(c_0_425,plain,
( op(e2,e2) = e0
| op(e3,e3) = e0
| op(e0,e1) = e1
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_417,c_0_346]) ).
cnf(c_0_426,plain,
( op(e2,e0) != e0
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e0) = e3
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_52,c_0_418]) ).
cnf(c_0_427,plain,
( op(e1,e1) = e0
| op(e2,e0) = e0
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_419]),c_0_377]) ).
cnf(c_0_428,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_420,c_0_421]) ).
cnf(c_0_429,plain,
( op(e1,e1) = e0
| op(e0,e1) = e0
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_424]) ).
cnf(c_0_430,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_425]),c_0_138]) ).
cnf(c_0_431,plain,
( op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_33]) ).
cnf(c_0_432,plain,
( op(e2,e1) = e0
| op(e2,e0) = e0
| op(e1,e1) = e0
| op(e2,e0) = e1
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_428]),c_0_138]) ).
cnf(c_0_433,plain,
( op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_429]),c_0_26]) ).
cnf(c_0_434,plain,
( op(e0,e2) != e1
| op(e2,e2) = e0
| op(e0,e1) = e1
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_79,c_0_430]) ).
cnf(c_0_435,plain,
( op(e0,e1) = e1
| op(e0,e0) = e3
| op(e0,e0) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_431]),c_0_33]) ).
cnf(c_0_436,plain,
( op(e0,e1) != e0
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e1,e1) = e0
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_157,c_0_432]) ).
cnf(c_0_437,plain,
( op(e0,e1) = e0
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_433]),c_0_26]) ).
cnf(c_0_438,plain,
( op(e2,e2) != e0
| op(e3,e1) = e0
| op(e3,e0) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_117,c_0_329]) ).
cnf(c_0_439,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_434,c_0_435]) ).
fof(c_0_440,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,op(e2,e2)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])]) ).
cnf(c_0_441,plain,
( op(e2,e0) = e0
| op(e1,e1) = e0
| op(e2,e0) = e1
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_442,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_437]),c_0_138]) ).
cnf(c_0_443,plain,
( op(e0,e0) = e1
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e0,e1) = e1
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_439]),c_0_138]) ).
cnf(c_0_444,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,op(e2,e2)) ),
inference(split_conjunct,[status(thm)],[c_0_440]) ).
cnf(c_0_445,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e2,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_441]),c_0_442]) ).
cnf(c_0_446,plain,
( op(e0,e0) = e3
| op(e0,e1) = e1
| op(e3,e0) = e0
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_443]),c_0_377]) ).
cnf(c_0_447,plain,
( op(e2,e0) != e3
| op(e0,e1) = e1
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_439]),c_0_435]) ).
cnf(c_0_448,plain,
( op(e1,e0) != e3
| op(e0,e1) = e1
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_164,c_0_353]) ).
cnf(c_0_449,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_445]),c_0_373]) ).
cnf(c_0_450,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_120,c_0_74]) ).
cnf(c_0_451,plain,
( op(e0,e0) = e3
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_446]),c_0_33]),c_0_447]),c_0_448]) ).
cnf(c_0_452,plain,
op(e0,e0) = e2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_449]),c_0_26]) ).
cnf(c_0_453,plain,
( op(e1,e3) != e1
| op(e0,e0) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_454,plain,
( op(e1,e3) != e1
| op(e3,e3) != e3
| op(e0,e0) = e3
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_455,plain,
( op(e3,e1) = e1
| op(e3,e0) = e1
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e3,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_118]),c_0_103]) ).
cnf(c_0_456,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_450]),c_0_103]),c_0_91]) ).
cnf(c_0_457,plain,
op(e0,e1) = e1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_451,c_0_452]),c_0_452]),c_0_127]),c_0_86]) ).
cnf(c_0_458,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_201,c_0_119]) ).
cnf(c_0_459,plain,
( op(e1,e3) != e1
| op(e0,e0) = e3
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_460,plain,
( op(e1,e1) != e3
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e0) = e1
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_241,c_0_455]) ).
cnf(c_0_461,plain,
op(e1,e1) = e3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_456,c_0_452]),c_0_452]),c_0_127]),c_0_86]),c_0_457]),c_0_103]) ).
cnf(c_0_462,plain,
op(e3,e1) != e1,
inference(rw,[status(thm)],[c_0_243,c_0_457]) ).
cnf(c_0_463,plain,
( op(e1,e3) != e1
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_452]),c_0_127]) ).
cnf(c_0_464,plain,
( op(e1,e3) != e1
| op(e2,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_452]),c_0_86]) ).
fof(c_0_465,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])]) ).
cnf(c_0_466,plain,
( op(e3,e0) != e1
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_27,c_0_258]) ).
cnf(c_0_467,plain,
( op(e3,e0) = e1
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_460,c_0_461]),c_0_461])]),c_0_462]),c_0_33]) ).
cnf(c_0_468,plain,
op(e1,e3) != e1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_103]) ).
cnf(c_0_469,plain,
op(e0,e3) != e1,
inference(rw,[status(thm)],[c_0_131,c_0_457]) ).
cnf(c_0_470,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(split_conjunct,[status(thm)],[c_0_465]) ).
cnf(c_0_471,plain,
( op(e1,e1) != e3
| op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[c_0_241,c_0_234]) ).
cnf(c_0_472,plain,
( op(e2,e3) = e1
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_468]),c_0_469]) ).
cnf(c_0_473,plain,
( op(e3,e1) != e0
| op(e1,e3) != e2
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_470,c_0_89]) ).
cnf(c_0_474,plain,
( op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_471,c_0_89]) ).
cnf(c_0_475,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_476,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_477,plain,
( op(e3,e0) != e1
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_452]),c_0_127]) ).
cnf(c_0_478,plain,
( op(e2,e2) != e1
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_48,c_0_472]) ).
cnf(c_0_479,plain,
( op(e3,e1) != e0
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e1,e0) = e2
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_473,c_0_286]) ).
cnf(c_0_480,plain,
op(e1,e0) != e2,
inference(rw,[status(thm)],[c_0_153,c_0_452]) ).
cnf(c_0_481,plain,
( op(e2,e1) != e2
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e3,e1) = e0
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_259,c_0_474]) ).
cnf(c_0_482,plain,
( op(e1,e1) != e3
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(spm,[status(thm)],[c_0_475,c_0_476]) ).
cnf(c_0_483,plain,
op(e2,e1) != e1,
inference(rw,[status(thm)],[c_0_157,c_0_457]) ).
cnf(c_0_484,plain,
op(e2,e2) = e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_467]),c_0_478]) ).
cnf(c_0_485,plain,
( op(e0,e2) != e3
| op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_388,c_0_249]) ).
cnf(c_0_486,plain,
( op(e3,e1) != e0
| op(e1,e2) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_479,c_0_461]),c_0_461]),c_0_461]),c_0_480]),c_0_33]),c_0_103]),c_0_86]) ).
cnf(c_0_487,plain,
( op(e2,e1) != e2
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_481,c_0_461]),c_0_461]),c_0_461]),c_0_462]),c_0_33]),c_0_103]),c_0_86]) ).
cnf(c_0_488,plain,
( op(e2,e1) = e2
| op(e2,e1) = e0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_482,c_0_461])]),c_0_483]) ).
cnf(c_0_489,plain,
op(e2,e1) != e0,
inference(rw,[status(thm)],[c_0_75,c_0_484]) ).
cnf(c_0_490,plain,
( op(e3,e2) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_54,c_0_119]) ).
cnf(c_0_491,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_492,plain,
( op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_485,c_0_81]) ).
cnf(c_0_493,plain,
( op(e2,e1) != e2
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_494,plain,
op(e2,e1) = e2,
inference(sr,[status(thm)],[c_0_488,c_0_489]) ).
cnf(c_0_495,plain,
( op(e3,e2) != e1
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_490,c_0_452]),c_0_127]) ).
cnf(c_0_496,plain,
( op(e1,e2) != e2
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e3,e2) = e0
| op(e3,e2) = e1 ),
inference(spm,[status(thm)],[c_0_491,c_0_492]) ).
cnf(c_0_497,plain,
op(e1,e2) = e2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_493,c_0_494])]) ).
cnf(c_0_498,plain,
op(e3,e2) != e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_495,c_0_484]),c_0_138]) ).
cnf(c_0_499,plain,
op(e3,e2) != e0,
inference(rw,[status(thm)],[c_0_117,c_0_484]) ).
cnf(c_0_500,plain,
op(e0,e2) != e0,
inference(rw,[status(thm)],[c_0_79,c_0_484]) ).
cnf(c_0_501,plain,
op(e0,e2) != e1,
inference(rw,[status(thm)],[c_0_362,c_0_457]) ).
cnf(c_0_502,plain,
op(e0,e2) != e2,
inference(rw,[status(thm)],[c_0_80,c_0_452]) ).
cnf(c_0_503,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_496,c_0_497])]),c_0_498]),c_0_499]),c_0_500]),c_0_501]),c_0_502]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG142+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 13:03:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.52/1.30 % Version: 3.5.1
% 4.52/1.30 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.52/1.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.52/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.52/1.30 % Starting new_bool_3 with 300s (1) cores
% 4.52/1.30 % Starting new_bool_1 with 300s (1) cores
% 4.52/1.30 % Starting sh5l with 300s (1) cores
% 4.52/1.30 % new_bool_1 with pid 3180028 completed with status 9
% 4.52/1.30 % new_bool_3 with pid 3180027 completed with status 9
% 4.52/1.30 % sh5l with pid 3180029 completed with status 9
% 4.52/1.30 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3180026 completed with status 0
% 4.52/1.30 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.52/1.30 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.52/1.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.52/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.52/1.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.52/1.30 % No SInE strategy applied
% 4.52/1.30 % Search class: FGHPF-FSLM22-SFFFFFNN
% 4.52/1.30 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.52/1.30 % Starting SubtermCWHack with 136s (1) cores
% 4.52/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.52/1.30 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 4.52/1.30 % Starting new_bool_3 with 136s (1) cores
% 4.52/1.30 % Starting new_bool_1 with 136s (1) cores
% 4.52/1.30 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3180042 completed with status 0
% 4.52/1.30 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.52/1.30 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.52/1.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.52/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.52/1.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.52/1.30 % No SInE strategy applied
% 4.52/1.30 % Search class: FGHPF-FSLM22-SFFFFFNN
% 4.52/1.30 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.52/1.30 % Starting SubtermCWHack with 136s (1) cores
% 4.52/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.52/1.30 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 4.52/1.30 % Preprocessing time : 0.001 s
% 4.52/1.30 % Presaturation interreduction done
% 4.52/1.30
% 4.52/1.30 % Proof found!
% 4.52/1.30 % SZS status Unsatisfiable
% 4.52/1.30 % SZS output start CNFRefutation
% See solution above
% 4.52/1.31 % Parsed axioms : 29
% 4.52/1.31 % Removed by relevancy pruning/SinE : 0
% 4.52/1.31 % Initial clauses : 190
% 4.52/1.31 % Removed in clause preprocessing : 0
% 4.52/1.31 % Initial clauses in saturation : 190
% 4.52/1.31 % Processed clauses : 7795
% 4.52/1.31 % ...of these trivial : 175
% 4.52/1.31 % ...subsumed : 4801
% 4.52/1.31 % ...remaining for further processing : 2819
% 4.52/1.31 % Other redundant clauses eliminated : 0
% 4.52/1.31 % Clauses deleted for lack of memory : 0
% 4.52/1.31 % Backward-subsumed : 1415
% 4.52/1.31 % Backward-rewritten : 1014
% 4.52/1.31 % Generated clauses : 66016
% 4.52/1.31 % ...of the previous two non-redundant : 65244
% 4.52/1.31 % ...aggressively subsumed : 0
% 4.52/1.31 % Contextual simplify-reflections : 157
% 4.52/1.31 % Paramodulations : 65528
% 4.52/1.31 % Factorizations : 341
% 4.52/1.31 % NegExts : 0
% 4.52/1.31 % Equation resolutions : 0
% 4.52/1.31 % Disequality decompositions : 0
% 4.52/1.31 % Total rewrite steps : 1257
% 4.52/1.31 % ...of those cached : 1250
% 4.52/1.31 % Propositional unsat checks : 0
% 4.52/1.31 % Propositional check models : 0
% 4.52/1.31 % Propositional check unsatisfiable : 0
% 4.52/1.31 % Propositional clauses : 0
% 4.52/1.31 % Propositional clauses after purity: 0
% 4.52/1.31 % Propositional unsat core size : 0
% 4.52/1.31 % Propositional preprocessing time : 0.000
% 4.52/1.31 % Propositional encoding time : 0.000
% 4.52/1.31 % Propositional solver time : 0.000
% 4.52/1.31 % Success case prop preproc time : 0.000
% 4.52/1.31 % Success case prop encoding time : 0.000
% 4.52/1.31 % Success case prop solver time : 0.000
% 4.52/1.31 % Current number of processed clauses : 85
% 4.52/1.31 % Positive orientable unit clauses : 7
% 4.52/1.31 % Positive unorientable unit clauses: 0
% 4.52/1.31 % Negative unit clauses : 38
% 4.52/1.31 % Non-unit-clauses : 40
% 4.52/1.31 % Current number of unprocessed clauses: 56418
% 4.52/1.31 % ...number of literals in the above : 473721
% 4.52/1.31 % Current number of archived formulas : 0
% 4.52/1.31 % Current number of archived clauses : 2734
% 4.52/1.31 % Clause-clause subsumption calls (NU) : 175425
% 4.52/1.31 % Rec. Clause-clause subsumption calls : 4559
% 4.52/1.31 % Non-unit clause-clause subsumptions : 2368
% 4.52/1.31 % Unit Clause-clause subsumption calls : 3301
% 4.52/1.31 % Rewrite failures with RHS unbound : 0
% 4.52/1.31 % BW rewrite match attempts : 7
% 4.52/1.31 % BW rewrite match successes : 7
% 4.52/1.31 % Condensation attempts : 0
% 4.52/1.31 % Condensation successes : 0
% 4.52/1.31 % Termbank termtop insertions : 1244228
% 4.52/1.31 % Search garbage collected termcells : 519
% 4.52/1.31
% 4.52/1.31 % -------------------------------------------------
% 4.52/1.31 % User time : 0.833 s
% 4.52/1.31 % System time : 0.035 s
% 4.52/1.31 % Total time : 0.868 s
% 4.52/1.31 % Maximum resident set size: 3952 pages
% 4.52/1.31
% 4.52/1.31 % -------------------------------------------------
% 4.52/1.31 % User time : 4.178 s
% 4.52/1.31 % System time : 0.186 s
% 4.52/1.31 % Total time : 4.365 s
% 4.52/1.31 % Maximum resident set size: 4864 pages
% 4.52/1.31 % E exiting
%------------------------------------------------------------------------------