TSTP Solution File: ALG142+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG142+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:02:58 EDT 2023
% Result : Unsatisfiable 1.29s 1.38s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 17
% Syntax : Number of formulae : 504 ( 64 unt; 5 typ; 0 def)
% Number of atoms : 2311 (2310 equ)
% Maximal formula atoms : 256 ( 4 avg)
% Number of connectives : 2311 ( 499 ~;1618 |; 194 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% 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 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
e0: $i ).
tff(decl_23,type,
op: ( $i * $i ) > $i ).
tff(decl_24,type,
e1: $i ).
tff(decl_25,type,
e2: $i ).
tff(decl_26,type,
e3: $i ).
fof(ax5,axiom,
( ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e1,e1) = e0
& op(e1,e0) != e1 )
| ( op(e2,e2) = e0
& op(e2,e0) != e2 )
| ( op(e3,e3) = e0
& op(e3,e0) != e3 ) )
& ( ( op(e0,e0) = e1
& op(e0,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e2) = e1
& op(e2,e1) != e2 )
| ( op(e3,e3) = e1
& op(e3,e1) != e3 ) )
& ( ( op(e0,e0) = e2
& op(e0,e2) != e0 )
| ( op(e1,e1) = e2
& op(e1,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e3,e3) = e2
& op(e3,e2) != e3 ) )
& ( ( op(e0,e0) = e3
& op(e0,e3) != e0 )
| ( op(e1,e1) = e3
& op(e1,e3) != e1 )
| ( op(e2,e2) = e3
& op(e2,e3) != e2 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax28,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(ax22,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(ax6,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(op(e3,e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax15,axiom,
~ ( e1 = op(e0,op(e0,e0))
& e2 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(ax21,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(ax26,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(ax19,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(c_0_12,plain,
( ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 )
& ( op(e3,e0) != e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 )
& ( op(e3,e3) = e0
| op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) = e0 )
& ( op(e3,e0) != e3
| op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) = e0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) = e0 )
& ( op(e3,e0) != e3
| op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) = e0 )
& ( op(e3,e3) = e0
| op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) = e0 )
& ( op(e3,e0) != e3
| op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) = e0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) != e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e0
| op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) != e0 )
& ( op(e3,e0) != e3
| op(e2,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) != e0 )
& ( op(e3,e0) != e3
| op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) != e0 )
& ( op(e3,e3) = e0
| op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) != e0 )
& ( op(e3,e0) != e3
| op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) != e0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e3) = e1
| op(e2,e1) != e2
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e1) != e3
| op(e2,e1) != e2
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1 )
& ( op(e3,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1 )
& ( op(e3,e3) = e1
| op(e2,e1) != e2
| op(e1,e1) != e1
| op(e0,e0) = e1 )
& ( op(e3,e1) != e3
| op(e2,e1) != e2
| op(e1,e1) != e1
| op(e0,e0) = e1 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e1) != e0 )
& ( op(e3,e3) = e1
| op(e2,e1) != e2
| op(e1,e1) = e1
| op(e0,e1) != e0 )
& ( op(e3,e1) != e3
| op(e2,e1) != e2
| op(e1,e1) = e1
| op(e0,e1) != e0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e1) != e0 )
& ( op(e3,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e1) != e0 )
& ( op(e3,e3) = e1
| op(e2,e1) != e2
| op(e1,e1) != e1
| op(e0,e1) != e0 )
& ( op(e3,e1) != e3
| op(e2,e1) != e2
| op(e1,e1) != e1
| op(e0,e1) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e2) != e1
| op(e0,e0) = e2 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e1,e2) != e1
| op(e0,e0) = e2 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e2) != e1
| op(e0,e0) = e2 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e2) != e1
| op(e0,e0) = e2 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e2) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| op(e0,e2) != e0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| op(e0,e2) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e2) != e1
| op(e0,e2) != e0 )
& ( op(e3,e2) != e3
| op(e2,e2) = e2
| op(e1,e2) != e1
| op(e0,e2) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e2) != e1
| op(e0,e2) != e0 )
& ( op(e3,e2) != e3
| op(e2,e2) != e2
| op(e1,e2) != e1
| op(e0,e2) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e3) = e3
| op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e0) = e3 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e0) = e3 )
& ( op(e3,e3) = e3
| op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e0) = e3 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e0) = e3 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) = e3
| op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2
| op(e1,e1) = e3
| op(e0,e3) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e3) != e0 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e3) != e0 )
& ( op(e3,e3) = e3
| op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e3) != e0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e2
| op(e1,e3) != e1
| op(e0,e3) != e0 ) ),
inference(distribute,[status(thm)],[ax5]) ).
cnf(c_0_13,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_14,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( op(e3,e3) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e2,e3) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e3) != e3
| op(e2,e3) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_21,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_22,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_23,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_25,plain,
( op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e2) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e2) != e3
| op(e2,e2) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_28,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_29,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e3,e0) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e3,e0) != e3
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e2,e3) != e2 ),
inference(csr,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_34,plain,
( op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_35,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e2,e0) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| op(e2,e0) != e2
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_38,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_39,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_40,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_41,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e2) != e3 ),
inference(csr,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_42,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_43,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_44,plain,
( op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_27]),c_0_28]) ).
cnf(c_0_45,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e3,e0) != e3 ),
inference(csr,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_46,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_47,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_48,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_49,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_50,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_51,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| op(e2,e0) != e2 ),
inference(csr,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_52,plain,
( op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_53,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_54,plain,
( op(e2,e1) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_55,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_21]) ).
cnf(c_0_56,plain,
( op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_57,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_58,plain,
( op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_59,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_60,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e2) != e2 ),
inference(spm,[status(thm)],[c_0_49,c_0_23]) ).
cnf(c_0_61,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_62,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_63,plain,
( op(e1,e3) = e2
| op(e0,e3) = e2
| op(e1,e1) = e0
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_50]),c_0_28]) ).
cnf(c_0_64,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e3,e3) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_65,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_66,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_67,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_28]) ).
cnf(c_0_68,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_69,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_70,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_71,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_72,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_48]),c_0_28]) ).
cnf(c_0_73,plain,
( op(e1,e1) = e0
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_58]),c_0_28]),c_0_59]) ).
cnf(c_0_74,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_75,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_76,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_77,plain,
( op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_78,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax28]) ).
cnf(c_0_79,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e1) = e0
| op(e0,e3) = e2
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_80,plain,
( op(e1,e1) = e0
| op(e1,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_64]),c_0_21]) ).
cnf(c_0_81,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_82,plain,
( op(e1,e0) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_65,c_0_52]) ).
cnf(c_0_83,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e2) = e3
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_84,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_85,plain,
( op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_86,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_70,c_0_48]) ).
fof(c_0_87,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax22]) ).
cnf(c_0_88,plain,
( op(e1,e1) = e0
| op(e0,e3) = e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_89,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_74,c_0_48]) ).
cnf(c_0_90,plain,
( op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_91,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_92,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_77]),c_0_21]) ).
cnf(c_0_93,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_94,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e1,e1) = e0
| op(e0,e3) = e2
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_21]) ).
cnf(c_0_95,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e1,e0) = e2
| op(e0,e3) = e2
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_82]),c_0_81]),c_0_21]) ).
cnf(c_0_96,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e2) = e3
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_28]),c_0_81]) ).
cnf(c_0_97,plain,
( op(e1,e0) = e3
| op(e0,e0) = e3
| op(e0,e1) = e3
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_46]),c_0_59]),c_0_86]) ).
cnf(c_0_98,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_99,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_100,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e1
| op(e1,e1) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_101,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_102,plain,
( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e3,e1) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_103,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e3,e1) != e3
| op(e1,e1) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_104,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_105,plain,
( op(e0,e0) = e3
| op(e0,e3) = e3
| op(e1,e1) = e0
| op(e0,e2) = e3
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_88]),c_0_28]),c_0_81]) ).
cnf(c_0_106,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_107,plain,
( op(e0,e0) = e3
| op(e0,e3) = e3
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_88]),c_0_28]),c_0_81]) ).
cnf(c_0_108,plain,
( op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_76]),c_0_90]) ).
cnf(c_0_109,plain,
( op(e1,e1) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_80]) ).
cnf(c_0_110,plain,
( op(e0,e0) = e3
| op(e0,e3) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e1,e0) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_111,plain,
( op(e0,e1) = e3
| op(e0,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e2
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_81]),c_0_98]),c_0_28]) ).
cnf(c_0_112,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_113,plain,
( op(e3,e2) = e3
| op(e3,e1) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_99]),c_0_28]),c_0_45]) ).
cnf(c_0_114,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_115,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e3,e1) != e3 ),
inference(csr,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_116,plain,
( op(e0,e0) = e2
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e0) = e3
| op(e1,e0) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).
cnf(c_0_117,plain,
( op(e0,e3) = e3
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_107]),c_0_21]) ).
cnf(c_0_118,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_81]) ).
cnf(c_0_119,plain,
( op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e2
| op(e0,e3) = e2
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_81]) ).
cnf(c_0_120,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e1) = e3
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_121,plain,
( op(e3,e2) = e3
| op(e3,e0) = e3
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_99]),c_0_98]),c_0_115]) ).
cnf(c_0_122,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_123,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_124,plain,
( op(e3,e3) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e2,e1) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_125,plain,
( op(e3,e3) = e1
| op(e0,e0) = e1
| op(e2,e1) != e2
| op(e1,e1) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_126,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_127,plain,
( op(e0,e1) = e2
| op(e0,e0) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_128,plain,
( op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_118]),c_0_28]) ).
cnf(c_0_129,plain,
( op(e0,e0) = e2
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_119]),c_0_81]) ).
cnf(c_0_130,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e1) = e3
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_48]),c_0_28]) ).
cnf(c_0_131,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e3
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_112,c_0_121]) ).
cnf(c_0_132,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_23]),c_0_122]) ).
cnf(c_0_133,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_134,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_123,c_0_23]) ).
cnf(c_0_135,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_136,plain,
( op(e3,e3) = e1
| op(e0,e0) = e1
| op(e2,e1) != e2 ),
inference(csr,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_137,plain,
( op(e0,e0) = e2
| op(e0,e2) = e3
| op(e0,e0) = e3
| op(e0,e1) = e2
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_138,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_28]),c_0_98]),c_0_81]) ).
cnf(c_0_139,plain,
( op(e1,e1) = e0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_68,c_0_130]) ).
cnf(c_0_140,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e0) = e3
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_48]),c_0_98]) ).
cnf(c_0_141,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_55]),c_0_133]) ).
cnf(c_0_142,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_132]),c_0_98]) ).
cnf(c_0_143,plain,
( op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_144,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e3,e3) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_136,c_0_54]) ).
cnf(c_0_145,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_146,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_147,plain,
( op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_81]) ).
cnf(c_0_148,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_149,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_150,plain,
( op(e0,e0) = e1
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_151,plain,
( op(e0,e0) = e3
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_28]),c_0_81]) ).
cnf(c_0_152,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_153,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_143]),c_0_122]) ).
cnf(c_0_154,plain,
( op(e0,e0) = e1
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_144]),c_0_122]) ).
cnf(c_0_155,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_156,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_157,plain,
( op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_158,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_147]),c_0_28]),c_0_98]),c_0_81]) ).
cnf(c_0_159,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_160,plain,
( op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_161,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_81]),c_0_21]) ).
cnf(c_0_162,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_163,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_164,plain,
( op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_165,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_166,plain,
( op(e0,e0) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_167,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_141]) ).
cnf(c_0_168,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_169,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_170,plain,
( op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_164,c_0_158]) ).
cnf(c_0_171,plain,
( op(e3,e0) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_172,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_160,c_0_158]) ).
cnf(c_0_173,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_174,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_169,c_0_168]) ).
cnf(c_0_175,plain,
( op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_162,c_0_170]) ).
cnf(c_0_176,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_177,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_21]) ).
cnf(c_0_178,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_175,c_0_172]) ).
cnf(c_0_179,plain,
( op(e3,e3) = e0
| op(e0,e0) = e0
| op(e2,e0) != e2
| op(e1,e0) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_180,plain,
( op(e3,e3) = e0
| op(e2,e0) != e2
| op(e1,e0) != e1
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_181,plain,
( op(e3,e0) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_37,c_0_166]) ).
cnf(c_0_182,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_183,plain,
( op(e3,e0) = e0
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_176]),c_0_177]) ).
cnf(c_0_184,plain,
( op(e2,e0) = e0
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_178]),c_0_177]) ).
cnf(c_0_185,plain,
( op(e3,e3) = e0
| op(e1,e0) != e1
| op(e2,e0) != e2 ),
inference(csr,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_186,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_165,c_0_181]) ).
cnf(c_0_187,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_188,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e0) != e1
| op(e2,e0) != e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_23]),c_0_21]) ).
cnf(c_0_189,plain,
( op(e1,e0) = e0
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_190,plain,
( op(e1,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_188,c_0_187]) ).
cnf(c_0_191,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e0) = e0
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_182,c_0_189]) ).
cnf(c_0_192,plain,
( op(e3,e0) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_182,c_0_166]) ).
cnf(c_0_193,plain,
( op(e3,e0) != e0
| op(e1,e0) != e1
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_22,c_0_185]) ).
cnf(c_0_194,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_195,plain,
( op(e2,e0) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_170]),c_0_191]) ).
cnf(c_0_196,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_197,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_198,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_199,plain,
( op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_192,c_0_170]) ).
cnf(c_0_200,plain,
( op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0
| op(e1,e0) != e1
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_201,plain,
( op(e1,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_195]),c_0_187]) ).
cnf(c_0_202,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[c_0_196,c_0_19]) ).
cnf(c_0_203,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_204,plain,
( op(e2,e1) = e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_205,plain,
( op(e3,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_165,c_0_199]) ).
cnf(c_0_206,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0
| op(e0,e0) = e0
| op(e2,e0) = e0
| op(e2,e0) != e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_187]),c_0_133]) ).
cnf(c_0_207,plain,
( op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_38]),c_0_21]) ).
cnf(c_0_208,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_201]) ).
cnf(c_0_209,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_210,plain,
( op(e1,e2) = e0
| op(e1,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_211,plain,
( op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_68,c_0_198]) ).
cnf(c_0_212,plain,
( op(e1,e1) = e0
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_47,c_0_204]) ).
cnf(c_0_213,plain,
( op(e1,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_205,c_0_187]) ).
cnf(c_0_214,plain,
( op(e2,e0) = e0
| op(e0,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_21]),c_0_208]) ).
cnf(c_0_215,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_216,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) != e3
| op(e0,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_217,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e3) != e0 ),
inference(spm,[status(thm)],[c_0_209,c_0_19]) ).
cnf(c_0_218,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_219,plain,
( op(e1,e1) = e0
| op(e1,e0) = e0
| op(e1,e2) = e0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_70,c_0_210]) ).
cnf(c_0_220,plain,
( op(e1,e0) = e0
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_194]),c_0_212]) ).
cnf(c_0_221,plain,
( op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e1,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_213]),c_0_214]) ).
cnf(c_0_222,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e3) != e0 ),
inference(csr,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_223,plain,
( op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e3,e3) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_51,c_0_170]) ).
cnf(c_0_224,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_47,c_0_55]) ).
cnf(c_0_225,plain,
( op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_226,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_227,plain,
( op(e0,e1) = e0
| op(e0,e0) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_228,plain,
( op(e1,e0) = e0
| op(e2,e0) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_221]),c_0_187]) ).
cnf(c_0_229,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_230,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e3,e1) != e1 ),
inference(spm,[status(thm)],[c_0_24,c_0_114]) ).
cnf(c_0_231,plain,
( op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e2,e2) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_222,c_0_218]) ).
cnf(c_0_232,plain,
( op(e1,e1) = e0
| op(e2,e0) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_223]),c_0_21]),c_0_224]) ).
cnf(c_0_233,plain,
( op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_70,c_0_225]) ).
cnf(c_0_234,plain,
( op(e1,e1) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_235,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_212,c_0_228]) ).
cnf(c_0_236,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_237,plain,
( op(e3,e1) = e2
| op(e3,e1) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_229]),c_0_230]) ).
cnf(c_0_238,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_239,plain,
( op(e1,e1) = e3
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_231]),c_0_28]) ).
cnf(c_0_240,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_232]),c_0_141]) ).
cnf(c_0_241,plain,
( op(e1,e0) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_220]),c_0_234]) ).
cnf(c_0_242,plain,
( op(e1,e1) = e0
| op(e0,e1) = e0
| op(e1,e0) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_235]),c_0_228]) ).
cnf(c_0_243,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_244,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_245,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e1) = e0
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_246,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e1) = e0
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_238,c_0_237]) ).
cnf(c_0_247,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_81]),c_0_21]) ).
cnf(c_0_248,plain,
( op(e0,e0) = e2
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_201]),c_0_21]) ).
cnf(c_0_249,plain,
( op(e0,e1) = e0
| op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_242]),c_0_21]) ).
cnf(c_0_250,plain,
( op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_230,c_0_243]) ).
cnf(c_0_251,plain,
( op(e3,e2) = e1
| op(e3,e2) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_244]),c_0_60]) ).
fof(c_0_252,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[ax6]) ).
cnf(c_0_253,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_254,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_255,plain,
( op(e0,e0) = e2
| op(e3,e1) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_154]),c_0_246]) ).
cnf(c_0_256,plain,
( op(e1,e1) = e0
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_74,c_0_204]) ).
cnf(c_0_257,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_247]),c_0_248]) ).
cnf(c_0_258,plain,
( op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e0) != e0 ),
inference(spm,[status(thm)],[c_0_148,c_0_249]) ).
cnf(c_0_259,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_22,c_0_114]) ).
cnf(c_0_260,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_261,plain,
( op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_68,c_0_243]) ).
cnf(c_0_262,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_47,c_0_250]) ).
cnf(c_0_263,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e2) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_112,c_0_251]) ).
cnf(c_0_264,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_252]) ).
cnf(c_0_265,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_266,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_267,plain,
( op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_253]),c_0_133]) ).
cnf(c_0_268,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_269,plain,
( op(e0,e0) = e2
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]) ).
cnf(c_0_270,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_236,c_0_255]) ).
cnf(c_0_271,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_238,c_0_255]) ).
cnf(c_0_272,plain,
( op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_273,plain,
( op(e1,e0) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_260]),c_0_262]) ).
cnf(c_0_274,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_275,plain,
( op(e0,e0) = e1
| op(e3,e2) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_263,c_0_132]) ).
cnf(c_0_276,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e3) != e1
| op(e0,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_277,plain,
( op(e2,e2) = e3
| op(e3,e3) != e3
| op(e1,e3) != e1
| op(e0,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_278,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e2) != e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_264,c_0_23]) ).
cnf(c_0_279,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_280,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_196,c_0_23]) ).
cnf(c_0_281,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_282,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_43,c_0_267]) ).
cnf(c_0_283,plain,
( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270]),c_0_271]) ).
cnf(c_0_284,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_70,c_0_272]) ).
cnf(c_0_285,plain,
( op(e1,e1) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_53,c_0_273]) ).
cnf(c_0_286,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_157,c_0_161]) ).
cnf(c_0_287,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e1
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
fof(c_0_288,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[ax15]) ).
cnf(c_0_289,plain,
( op(e2,e2) = e3
| op(e0,e3) != e0
| op(e1,e3) != e1 ),
inference(csr,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_290,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_278,c_0_275]) ).
cnf(c_0_291,plain,
( op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_253]),c_0_122]) ).
cnf(c_0_292,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_209,c_0_23]) ).
cnf(c_0_293,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_279,c_0_161]) ).
cnf(c_0_294,plain,
( op(e1,e2) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_295,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_56]),c_0_98]) ).
cnf(c_0_296,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_133]) ).
cnf(c_0_297,plain,
( op(e1,e1) = e1
| op(e0,e1) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_273]),c_0_285]) ).
cnf(c_0_298,plain,
( op(e3,e0) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_286]),c_0_287]) ).
cnf(c_0_299,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_300,plain,
( op(e0,e2) != e3
| op(e0,e3) != e0
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_74,c_0_289]) ).
cnf(c_0_301,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_302,plain,
( op(e0,e3) = e1
| op(e0,e3) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_303,plain,
( op(e0,e0) = e1
| op(e0,e2) = e3
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_81]),c_0_169]) ).
cnf(c_0_304,plain,
( op(e1,e1) = e0
| op(e0,e3) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_71,c_0_296]) ).
cnf(c_0_305,plain,
( op(e1,e0) = e1
| op(e0,e1) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_297]),c_0_133]),c_0_122]) ).
cnf(c_0_306,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_165,c_0_298]) ).
cnf(c_0_307,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_123,c_0_114]) ).
cnf(c_0_308,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_309,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_310,plain,
( op(e0,e0) = e2
| op(e0,e3) != e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_299,c_0_158]) ).
cnf(c_0_311,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e3) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_302]),c_0_303]) ).
cnf(c_0_312,plain,
( op(e0,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e3) = e1
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_313,plain,
( op(e0,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_306,c_0_305]) ).
cnf(c_0_314,plain,
( op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_33,c_0_135]) ).
cnf(c_0_315,plain,
( op(e2,e1) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_316,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_317,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_318,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_309]),c_0_133]) ).
cnf(c_0_319,plain,
( op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_310,c_0_38]) ).
cnf(c_0_320,plain,
( op(e0,e1) = e1
| op(e0,e3) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_21]) ).
cnf(c_0_321,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_313]) ).
cnf(c_0_322,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_314]),c_0_81]) ).
cnf(c_0_323,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_315]),c_0_98]) ).
cnf(c_0_324,plain,
( op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_316]),c_0_133]) ).
cnf(c_0_325,plain,
( op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_317]),c_0_122]) ).
cnf(c_0_326,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_112,c_0_318]) ).
cnf(c_0_327,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e0) = e2
| op(e2,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_321]) ).
cnf(c_0_328,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_148,c_0_187]) ).
cnf(c_0_329,plain,
( op(e2,e0) = e1
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_122]) ).
cnf(c_0_330,plain,
( op(e3,e0) = e3
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e0
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_121]),c_0_28]) ).
cnf(c_0_331,plain,
( op(e3,e0) = e3
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e2
| op(e3,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_121]),c_0_81]) ).
cnf(c_0_332,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_283]),c_0_133]) ).
cnf(c_0_333,plain,
( op(e0,e1) = e1
| op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_327]),c_0_21]),c_0_328]) ).
cnf(c_0_334,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e0) = e1
| op(e2,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_329]),c_0_161]) ).
cnf(c_0_335,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_336,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_337,plain,
( op(e3,e0) = e2
| 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_330,c_0_331]),c_0_21]) ).
cnf(c_0_338,plain,
( op(e1,e1) = e0
| op(e3,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e1) != e1 ),
inference(spm,[status(thm)],[c_0_238,c_0_332]) ).
cnf(c_0_339,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_333]),c_0_133]) ).
cnf(c_0_340,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_162,c_0_334]) ).
cnf(c_0_341,plain,
( op(e1,e0) = e1
| op(e0,e1) = e1
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_297]),c_0_98]),c_0_133]) ).
cnf(c_0_342,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_343,plain,
( op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_344,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_145,c_0_337]) ).
cnf(c_0_345,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e0) = e1
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_346,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_49,c_0_19]) ).
cnf(c_0_347,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_348,plain,
( op(e0,e1) = e1
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_349,plain,
( op(e0,e0) = e2
| op(e0,e2) = e3
| op(e0,e0) = e1
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_342,c_0_303]) ).
cnf(c_0_350,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_343,c_0_161]) ).
cnf(c_0_351,plain,
( op(e0,e0) = e2
| op(e3,e0) = e2
| op(e3,e0) = e0
| op(e2,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_158]),c_0_98]) ).
cnf(c_0_352,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_165,c_0_345]) ).
cnf(c_0_353,plain,
( op(e1,e2) = e0
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_354,plain,
( op(e0,e0) = e2
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_279,c_0_158]) ).
cnf(c_0_355,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_342,c_0_348]) ).
cnf(c_0_356,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e1
| op(e0,e2) = e3
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_357,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_358,plain,
( op(e2,e2) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_37,c_0_351]) ).
cnf(c_0_359,plain,
( op(e1,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_187]),c_0_328]) ).
cnf(c_0_360,plain,
( op(e1,e1) = e0
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_70,c_0_353]) ).
cnf(c_0_361,plain,
( op(e0,e3) = e1
| op(e0,e3) = e0
| op(e0,e0) = e2
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_126,c_0_354]) ).
cnf(c_0_362,plain,
( op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_343,c_0_158]) ).
cnf(c_0_363,plain,
( op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_336]),c_0_98]),c_0_343]) ).
cnf(c_0_364,plain,
( op(e0,e0) = e1
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_356]),c_0_28]),c_0_98]),c_0_81]) ).
cnf(c_0_365,plain,
( op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e0) = e2
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_357,c_0_128]) ).
cnf(c_0_366,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_309]),c_0_122]) ).
cnf(c_0_367,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) = e1
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_165,c_0_358]) ).
cnf(c_0_368,plain,
( op(e0,e0) = e2
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_359]),c_0_21]) ).
cnf(c_0_369,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_283]),c_0_133]) ).
cnf(c_0_370,plain,
( op(e0,e1) = e0
| op(e0,e0) = e2
| op(e1,e2) = e0
| op(e0,e2) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_360,c_0_269]) ).
cnf(c_0_371,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_372,plain,
( op(e0,e0) = e1
| op(e0,e1) = e0
| op(e0,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_363]),c_0_364]) ).
cnf(c_0_373,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_365,c_0_362]) ).
cnf(c_0_374,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_112,c_0_366]) ).
cnf(c_0_375,plain,
( op(e2,e2) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_376,plain,
( op(e0,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_91,c_0_369]) ).
cnf(c_0_377,plain,
( op(e1,e1) = e0
| op(e0,e2) = e0
| op(e0,e0) = e2
| op(e0,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_370]),c_0_249]) ).
cnf(c_0_378,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_379,plain,
( op(e0,e3) = e0
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_371]),c_0_372]) ).
cnf(c_0_380,plain,
( op(e0,e2) = e0
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_373]),c_0_372]) ).
cnf(c_0_381,plain,
( op(e3,e1) = e3
| op(e3,e0) = e3
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_99]),c_0_81]),c_0_41]) ).
cnf(c_0_382,plain,
( op(e3,e1) = e1
| op(e3,e0) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_383,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_384,plain,
( op(e3,e2) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_263,c_0_375]) ).
cnf(c_0_385,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_376,c_0_368]) ).
cnf(c_0_386,plain,
( op(e0,e1) = e0
| op(e0,e0) = e2
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_377]),c_0_249]) ).
cnf(c_0_387,plain,
( op(e2,e2) = e0
| op(e0,e0) = e0
| op(e3,e0) != e3
| op(e1,e0) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_388,plain,
( op(e2,e2) = e0
| op(e3,e0) != e3
| op(e1,e0) != e1
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_389,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[ax21]) ).
cnf(c_0_390,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_380]) ).
cnf(c_0_391,plain,
( op(e3,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_98]) ).
cnf(c_0_392,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_393,plain,
( op(e0,e2) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_385]),c_0_386]) ).
cnf(c_0_394,plain,
( op(e2,e2) = e0
| op(e1,e0) != e1
| op(e3,e0) != e3 ),
inference(csr,[status(thm)],[c_0_387,c_0_388]) ).
cnf(c_0_395,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_209,c_0_114]) ).
cnf(c_0_396,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_397,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_123,c_0_19]) ).
cnf(c_0_398,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_399,plain,
( e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,e0),e0)
| e3 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_389]) ).
cnf(c_0_400,plain,
( op(e0,e0) = e2
| op(e0,e1) = e0
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_335,c_0_390]) ).
cnf(c_0_401,plain,
( op(e1,e1) = e2
| op(e3,e0) = e1
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_391]),c_0_28]),c_0_98]),c_0_81]) ).
cnf(c_0_402,plain,
( op(e0,e0) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_403,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) = e0
| op(e1,e0) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_404,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e0) != e1
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_405,plain,
( op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3
| op(e2,e2) = e0
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_394,c_0_46]) ).
cnf(c_0_406,plain,
( op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_407,plain,
( op(e2,e1) = e0
| op(e2,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_408,plain,
( op(e2,e2) = e1
| op(e3,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_182,c_0_351]) ).
cnf(c_0_409,plain,
( op(e0,e0) = e2
| op(e0,e3) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_399,c_0_158]) ).
cnf(c_0_410,plain,
( op(e0,e1) = e0
| op(e0,e0) = e2
| op(e3,e0) = e1
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_372]),c_0_400]) ).
cnf(c_0_411,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_401]),c_0_402]) ).
cnf(c_0_412,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e0) != e1 ),
inference(csr,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_413,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e2,e2) = e0
| op(e0,e0) = e3
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_341]),c_0_98]) ).
cnf(c_0_414,plain,
( op(e1,e1) = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_133]) ).
cnf(c_0_415,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_22,c_0_223]) ).
cnf(c_0_416,plain,
( op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e3,e0) = e0
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_408,c_0_170]) ).
cnf(c_0_417,plain,
( op(e1,e1) = e0
| op(e0,e1) = e0
| op(e0,e0) = e2
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_418,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_419,plain,
( op(e0,e0) = e2
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_342,c_0_411]) ).
cnf(c_0_420,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e3,e3) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_412,c_0_341]) ).
cnf(c_0_421,plain,
( op(e2,e0) = e3
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_47,c_0_413]) ).
cnf(c_0_422,plain,
( op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e2,e0) = e0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_414]),c_0_372]) ).
cnf(c_0_423,plain,
( op(e2,e2) = e1
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_415,c_0_416]) ).
cnf(c_0_424,plain,
( op(e0,e2) = e2
| op(e0,e0) = e2
| op(e0,e1) = e0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]) ).
cnf(c_0_425,plain,
( op(e2,e2) = e0
| op(e0,e1) = e1
| op(e0,e0) = e3
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_420]),c_0_133]) ).
cnf(c_0_426,plain,
( op(e1,e1) = e0
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_28]) ).
cnf(c_0_427,plain,
( op(e0,e0) = e2
| op(e2,e0) = e1
| op(e1,e1) = e0
| op(e2,e0) = e0
| op(e2,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_423]),c_0_133]) ).
cnf(c_0_428,plain,
( op(e0,e1) = e0
| op(e0,e2) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_424]),c_0_21]) ).
cnf(c_0_429,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e2,e2) = e0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_74,c_0_425]) ).
cnf(c_0_430,plain,
( op(e0,e2) = e1
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_426]),c_0_28]) ).
cnf(c_0_431,plain,
( op(e2,e0) = e0
| op(e1,e1) = e0
| op(e2,e0) = e1
| op(e0,e0) = e2
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_152,c_0_427]) ).
cnf(c_0_432,plain,
( op(e0,e0) = e2
| op(e0,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_428]),c_0_21]) ).
cnf(c_0_433,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_112,c_0_324]) ).
cnf(c_0_434,plain,
( op(e2,e2) = e0
| op(e0,e1) = e1
| op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
fof(c_0_435,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[ax26]) ).
cnf(c_0_436,plain,
( op(e0,e0) = e2
| op(e2,e0) = e1
| op(e1,e1) = e0
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_437,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_432]),c_0_133]) ).
cnf(c_0_438,plain,
( op(e0,e0) = e3
| op(e0,e1) = e1
| op(e3,e1) = e0
| op(e3,e0) = e0
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_434]),c_0_133]) ).
cnf(c_0_439,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_435]) ).
cnf(c_0_440,plain,
( op(e2,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_436]),c_0_437]) ).
cnf(c_0_441,plain,
( op(e0,e0) = e1
| op(e3,e0) = e0
| op(e0,e1) = e1
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_438]),c_0_372]) ).
cnf(c_0_442,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e2,e0) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_434]),c_0_430]) ).
cnf(c_0_443,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e1) = e1
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_159,c_0_348]) ).
cnf(c_0_444,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_440]),c_0_368]) ).
cnf(c_0_445,plain,
( op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_115,c_0_69]) ).
cnf(c_0_446,plain,
( op(e0,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_441]),c_0_28]),c_0_442]),c_0_443]) ).
cnf(c_0_447,plain,
op(e0,e0) = e2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_444]),c_0_21]) ).
cnf(c_0_448,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e0,e0) = e3
| op(e1,e3) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_449,plain,
( op(e2,e2) = e3
| op(e0,e0) = e3
| op(e3,e3) != e3
| op(e1,e3) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_450,plain,
( op(e3,e1) = e3
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e0) = e1
| op(e3,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_113]),c_0_98]) ).
cnf(c_0_451,plain,
( op(e0,e0) = e1
| op(e0,e1) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_445]),c_0_98]),c_0_86]) ).
cnf(c_0_452,plain,
op(e0,e1) = e1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_447]),c_0_447]),c_0_122]),c_0_81]) ).
cnf(c_0_453,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_196,c_0_114]) ).
cnf(c_0_454,plain,
( op(e2,e2) = e3
| op(e0,e0) = e3
| op(e1,e3) != e1 ),
inference(csr,[status(thm)],[c_0_448,c_0_449]) ).
cnf(c_0_455,plain,
( op(e3,e1) = e1
| op(e3,e0) = e1
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_236,c_0_450]) ).
cnf(c_0_456,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_451,c_0_447]),c_0_447]),c_0_122]),c_0_81]),c_0_452]),c_0_98]) ).
cnf(c_0_457,plain,
op(e3,e1) != e1,
inference(rw,[status(thm)],[c_0_238,c_0_452]) ).
cnf(c_0_458,plain,
( op(e2,e2) = e1
| op(e1,e3) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_453,c_0_447]),c_0_122]) ).
cnf(c_0_459,plain,
( op(e2,e2) = e3
| op(e1,e3) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_447]),c_0_81]) ).
fof(c_0_460,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax19]) ).
cnf(c_0_461,plain,
( op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_22,c_0_253]) ).
cnf(c_0_462,plain,
( op(e2,e2) = e0
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_456]),c_0_456])]),c_0_457]),c_0_28]) ).
cnf(c_0_463,plain,
op(e1,e3) != e1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_98]) ).
cnf(c_0_464,plain,
op(e0,e3) != e1,
inference(rw,[status(thm)],[c_0_126,c_0_452]) ).
cnf(c_0_465,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_460]) ).
cnf(c_0_466,plain,
( op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_236,c_0_229]) ).
cnf(c_0_467,plain,
( op(e2,e2) = e0
| op(e2,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_462]),c_0_463]),c_0_464]) ).
cnf(c_0_468,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e1,e3) != e2
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_465,c_0_84]) ).
cnf(c_0_469,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[c_0_466,c_0_84]) ).
cnf(c_0_470,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_471,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_472,plain,
( op(e2,e2) = e1
| op(e3,e0) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_447]),c_0_122]) ).
cnf(c_0_473,plain,
( op(e2,e2) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_43,c_0_467]) ).
cnf(c_0_474,plain,
( op(e1,e2) = e2
| op(e1,e0) = e2
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_468,c_0_281]) ).
cnf(c_0_475,plain,
op(e1,e0) != e2,
inference(rw,[status(thm)],[c_0_148,c_0_447]) ).
cnf(c_0_476,plain,
( op(e3,e1) = e1
| op(e3,e1) = e0
| op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_254,c_0_469]) ).
cnf(c_0_477,plain,
( op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_470,c_0_471]) ).
cnf(c_0_478,plain,
op(e2,e1) != e1,
inference(rw,[status(thm)],[c_0_152,c_0_452]) ).
cnf(c_0_479,plain,
op(e2,e2) = e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_462]),c_0_473]) ).
cnf(c_0_480,plain,
( op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_383,c_0_244]) ).
cnf(c_0_481,plain,
( op(e1,e2) = 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_474,c_0_456]),c_0_456]),c_0_456]),c_0_475]),c_0_28]),c_0_98]),c_0_81]) ).
cnf(c_0_482,plain,
( op(e3,e1) = e0
| op(e2,e1) != 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_476,c_0_456]),c_0_456]),c_0_456]),c_0_457]),c_0_28]),c_0_98]),c_0_81]) ).
cnf(c_0_483,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_477,c_0_456])]),c_0_478]) ).
cnf(c_0_484,plain,
op(e2,e1) != e0,
inference(rw,[status(thm)],[c_0_70,c_0_479]) ).
cnf(c_0_485,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_49,c_0_114]) ).
cnf(c_0_486,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_487,plain,
( op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_480,c_0_76]) ).
cnf(c_0_488,plain,
( op(e1,e2) = e2
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_489,plain,
op(e2,e1) = e2,
inference(sr,[status(thm)],[c_0_483,c_0_484]) ).
cnf(c_0_490,plain,
( op(e2,e2) = e1
| op(e3,e2) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_485,c_0_447]),c_0_122]) ).
cnf(c_0_491,plain,
( op(e3,e2) = e1
| op(e3,e2) = e0
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_492,plain,
op(e1,e2) = e2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_488,c_0_489])]) ).
cnf(c_0_493,plain,
op(e3,e2) != e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_490,c_0_479]),c_0_133]) ).
cnf(c_0_494,plain,
op(e3,e2) != e0,
inference(rw,[status(thm)],[c_0_112,c_0_479]) ).
cnf(c_0_495,plain,
op(e0,e2) != e0,
inference(rw,[status(thm)],[c_0_74,c_0_479]) ).
cnf(c_0_496,plain,
op(e0,e2) != e1,
inference(rw,[status(thm)],[c_0_357,c_0_452]) ).
cnf(c_0_497,plain,
op(e0,e2) != e2,
inference(rw,[status(thm)],[c_0_75,c_0_447]) ).
cnf(c_0_498,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_491,c_0_492])]),c_0_493]),c_0_494]),c_0_495]),c_0_496]),c_0_497]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG142+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon Aug 28 03:55:17 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.21/0.53 start to proof: theBenchmark
% 1.29/1.38 % Version : CSE_E---1.5
% 1.29/1.38 % Problem : theBenchmark.p
% 1.29/1.38 % Proof found
% 1.29/1.38 % SZS status Theorem for theBenchmark.p
% 1.29/1.38 % SZS output start Proof
% See solution above
% 1.29/1.42 % Total time : 0.838000 s
% 1.29/1.42 % SZS output end Proof
% 1.29/1.42 % Total time : 0.843000 s
%------------------------------------------------------------------------------