TSTP Solution File: ALG139+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG139+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 : n005.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 16:02:47 EDT 2023
% Result : Unsatisfiable 0.74s 0.83s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 23
% Syntax : Number of formulae : 255 ( 42 unt; 5 typ; 0 def)
% Number of atoms : 1265 (1264 equ)
% Maximal formula atoms : 256 ( 5 avg)
% Number of connectives : 1434 ( 419 ~; 809 |; 206 &)
% ( 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(e0,e0) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) != e3 ) )
& ( ( op(e0,e0) = e1
& op(e1,e1) != e0 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e2,e2) = e1
& op(e1,e1) != e2 )
| ( op(e3,e3) = e1
& op(e1,e1) != e3 ) )
& ( ( op(e0,e0) = e2
& op(e2,e2) != e0 )
| ( op(e1,e1) = e2
& op(e2,e2) != e1 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e3,e3) = e2
& op(e2,e2) != e3 ) )
& ( ( op(e0,e0) = e3
& op(e3,e3) != e0 )
| ( op(e1,e1) = e3
& op(e3,e3) != e1 )
| ( op(e2,e2) = e3
& op(e3,e3) != e2 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
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(ax20,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(ax14,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
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(ax17,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(ax23,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(ax11,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(ax15,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
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(ax29,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(ax16,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(ax26,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(ax22,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(ax8,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(ax28,axiom,
~ ( e3 = op(op(e0,e0),e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(ax10,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(c_0_18,plain,
( ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 )
& ( op(e3,e3) = e0
| op(e0,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e3
| op(e0,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) = e0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) != e1
| op(e0,e0) = e0 )
& ( op(e0,e0) != e3
| op(e2,e2) = e0
| op(e0,e0) != e1
| op(e0,e0) = e0 )
& ( op(e3,e3) = e0
| op(e0,e0) != e2
| op(e0,e0) != e1
| op(e0,e0) = e0 )
& ( op(e0,e0) != e3
| op(e0,e0) != e2
| op(e0,e0) != e1
| op(e0,e0) = e0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0 )
& ( op(e0,e0) != e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e0
| op(e0,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) != e0 )
& ( op(e0,e0) != e3
| op(e0,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) != e0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) != e1
| op(e0,e0) != e0 )
& ( op(e0,e0) != e3
| op(e2,e2) = e0
| op(e0,e0) != e1
| op(e0,e0) != e0 )
& ( op(e3,e3) = e0
| op(e0,e0) != e2
| op(e0,e0) != e1
| op(e0,e0) != e0 )
& ( op(e0,e0) != e3
| op(e0,e0) != e2
| op(e0,e0) != e1
| op(e0,e0) != e0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e1,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e3) = e1
| op(e1,e1) != e2
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e1,e1) != e3
| op(e1,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(e1,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1 )
& ( op(e3,e3) = e1
| op(e1,e1) != e2
| op(e1,e1) != e1
| op(e0,e0) = e1 )
& ( op(e1,e1) != e3
| op(e1,e1) != e2
| op(e1,e1) != e1
| op(e0,e0) = e1 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) != e0 )
& ( op(e3,e3) = e1
| op(e1,e1) != e2
| op(e1,e1) = e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e3
| op(e1,e1) != e2
| op(e1,e1) = e1
| op(e1,e1) != e0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e3
| op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e1) != e0 )
& ( op(e3,e3) = e1
| op(e1,e1) != e2
| op(e1,e1) != e1
| op(e1,e1) != e0 )
& ( op(e1,e1) != e3
| op(e1,e1) != e2
| op(e1,e1) != e1
| op(e1,e1) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e2,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(e2,e2) != e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) != e1
| op(e0,e0) = e2 )
& ( op(e2,e2) != e3
| op(e2,e2) = e2
| op(e2,e2) != e1
| op(e0,e0) = e2 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) != e1
| op(e0,e0) = e2 )
& ( op(e2,e2) != e3
| op(e2,e2) != e2
| op(e2,e2) != e1
| op(e0,e0) = e2 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e2,e2) != e0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e2,e2) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| op(e2,e2) != e0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| op(e2,e2) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) != e1
| op(e2,e2) != e0 )
& ( op(e2,e2) != e3
| op(e2,e2) = e2
| op(e2,e2) != e1
| op(e2,e2) != e0 )
& ( op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) != e1
| op(e2,e2) != e0 )
& ( op(e2,e2) != e3
| op(e2,e2) != e2
| op(e2,e2) != e1
| op(e2,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(e3,e3) != e2
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) != e2
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e3,e3) != e1
| op(e0,e0) = e3 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e3,e3) != e1
| op(e0,e0) = e3 )
& ( op(e3,e3) = e3
| op(e3,e3) != e2
| op(e3,e3) != e1
| op(e0,e0) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) != e2
| op(e3,e3) != e1
| op(e0,e0) = e3 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) != e0 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) != e0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e2
| op(e1,e1) = e3
| op(e3,e3) != e0 )
& ( op(e3,e3) != e3
| op(e3,e3) != e2
| op(e1,e1) = e3
| op(e3,e3) != e0 )
& ( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e3,e3) != e1
| op(e3,e3) != e0 )
& ( op(e3,e3) != e3
| op(e2,e2) = e3
| op(e3,e3) != e1
| op(e3,e3) != e0 )
& ( op(e3,e3) = e3
| op(e3,e3) != e2
| op(e3,e3) != e1
| op(e3,e3) != e0 )
& ( op(e3,e3) != e3
| op(e3,e3) != e2
| op(e3,e3) != e1
| op(e3,e3) != e0 ) ),
inference(distribute,[status(thm)],[ax5]) ).
cnf(c_0_19,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e1
| op(e1,e1) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_20,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) != e3
| op(e3,e3) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_30,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) != e0 ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_33,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_34,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e3,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_37,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e2,e2) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_38,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_39,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_40,plain,
( op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) != e3
| op(e2,e2) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_42,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_27,c_0_31]),c_0_32]) ).
cnf(c_0_43,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_31,c_0_28]),c_0_33]) ).
cnf(c_0_44,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,plain,
( op(e1,e1) = e3
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_46,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e2,e2) != e3 ),
inference(csr,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,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_42,c_0_43]),c_0_29]) ).
cnf(c_0_48,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38]) ).
cnf(c_0_49,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_50,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_51,plain,
( op(e3,e3) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e1) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_52,plain,
( op(e3,e3) = e1
| op(e0,e0) = e1
| op(e1,e1) != e2
| op(e1,e1) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_53,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[ax20]) ).
cnf(c_0_54,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_55,plain,
( op(e0,e0) = e3
| op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_38]),c_0_49]) ).
fof(c_0_56,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[ax14]) ).
cnf(c_0_57,plain,
( op(e3,e3) = e2
| op(e2,e2) = e2
| op(e0,e0) = e2
| op(e2,e2) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_58,plain,
( op(e3,e3) = e2
| op(e0,e0) = e2
| op(e2,e2) != e2
| op(e2,e2) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_59,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_50,c_0_27]) ).
cnf(c_0_60,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_61,plain,
( op(e3,e3) = e1
| op(e0,e0) = e1
| op(e1,e1) != e2 ),
inference(csr,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,plain,
( e2 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_38]),c_0_33]) ).
cnf(c_0_64,plain,
( op(e3,e3) = e1
| op(e1,e1) = e1
| op(e1,e1) != e2
| op(e1,e1) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_65,plain,
( op(e3,e3) = e1
| op(e1,e1) != e2
| op(e1,e1) != e1
| op(e1,e1) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_66,plain,
( e1 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_67,plain,
( op(e3,e3) = e2
| op(e0,e0) = e2
| op(e2,e2) != e1 ),
inference(csr,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
( op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_70,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[ax17]) ).
cnf(c_0_71,plain,
( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e3,e3) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_61,c_0_47]) ).
cnf(c_0_72,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e3) != e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_73,plain,
( op(e3,e3) = e1
| op(e1,e1) != e0
| op(e1,e1) != e2 ),
inference(csr,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_50,c_0_31]) ).
cnf(c_0_75,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_76,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e3) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_66,c_0_63]) ).
cnf(c_0_77,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e3) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_69,c_0_27]) ).
cnf(c_0_79,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_80,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_81,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e2,e2) = e0
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_71]),c_0_29]) ).
cnf(c_0_82,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e0) != e2
| op(e1,e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_83,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_75,c_0_42]) ).
cnf(c_0_84,plain,
( op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_60]) ).
cnf(c_0_85,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_86,plain,
( op(e1,e2) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_87,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e2) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_63]) ).
cnf(c_0_88,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e3,e0) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_71]),c_0_82]) ).
cnf(c_0_89,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_90,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_91,plain,
( op(e1,e0) = e1
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_92,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_85,c_0_31]) ).
cnf(c_0_93,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_94,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_95,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e2) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_81]),c_0_29]),c_0_87]) ).
cnf(c_0_96,plain,
( op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_97,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_99,plain,
( op(e2,e1) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
fof(c_0_100,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax23]) ).
cnf(c_0_101,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_102,plain,
( op(e1,e0) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_84]),c_0_32]),c_0_97]) ).
cnf(c_0_103,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,plain,
( op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_74,c_0_89]) ).
cnf(c_0_105,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_106,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,plain,
( op(e1,e0) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e1) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_63]) ).
cnf(c_0_109,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e0) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_110,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| op(e0,e0) != e2
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_111,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e0) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_106]),c_0_33]),c_0_108]) ).
cnf(c_0_112,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| op(e0,e0) != e2 ),
inference(csr,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_111]),c_0_32]) ).
cnf(c_0_114,plain,
( op(e0,e0) = e1
| op(e3,e3) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
fof(c_0_115,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(fof_nnf,[status(thm)],[ax11]) ).
cnf(c_0_116,plain,
( op(e1,e1) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_114]),c_0_29]) ).
fof(c_0_117,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[ax15]) ).
cnf(c_0_118,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_119,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_120,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_121,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_69,c_0_28]) ).
cnf(c_0_122,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_123,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(e2,e2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_124,plain,
( op(e0,e0) = e1
| op(e1,e1) = e3
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_116]),c_0_29]),c_0_39]) ).
cnf(c_0_125,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_126,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_118,c_0_44]) ).
cnf(c_0_127,plain,
( op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_128,plain,
( op(e1,e2) = e0
| op(e0,e2) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_129,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e1,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_116]),c_0_124]) ).
fof(c_0_130,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax29]) ).
cnf(c_0_131,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e3) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_114]),c_0_113]) ).
cnf(c_0_132,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_133,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_118,c_0_116]) ).
cnf(c_0_134,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_126,c_0_120]),c_0_127]) ).
cnf(c_0_135,plain,
( op(e0,e0) = e1
| op(e1,e1) = e0
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_116]),c_0_29]),c_0_129]) ).
cnf(c_0_136,plain,
( e3 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_137,plain,
( op(e0,e1) = e1
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).
cnf(c_0_138,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_139,plain,
( op(e0,e0) = e1
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_38]) ).
cnf(c_0_140,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e1) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_113]) ).
cnf(c_0_141,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_142,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_138,c_0_137]) ).
cnf(c_0_143,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_144,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_145,plain,
( op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_139]),c_0_113]) ).
cnf(c_0_146,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_147,plain,
( op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_39]),c_0_142]) ).
cnf(c_0_148,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_149,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_150,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_151,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_27,c_0_143]),c_0_29]) ).
cnf(c_0_152,plain,
( op(e0,e0) = e1
| op(e0,e2) = e0
| op(e0,e1) != e1 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_153,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_113]) ).
fof(c_0_154,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[ax16]) ).
cnf(c_0_155,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_75,c_0_44]) ).
cnf(c_0_156,plain,
( op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_157,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_158,plain,
( op(e0,e2) = e0
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_159,plain,
( e1 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_160,plain,
( op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_149]),c_0_156]) ).
cnf(c_0_161,plain,
( op(e3,e3) = e3
| op(e2,e2) = e3
| op(e0,e0) = e3
| op(e3,e3) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_162,plain,
( op(e2,e2) = e3
| op(e0,e0) = e3
| op(e3,e3) != e3
| op(e3,e3) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_163,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_164,plain,
( op(e3,e1) = e0
| op(e3,e0) = e0
| op(e2,e2) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_165,plain,
( op(e0,e0) = e1
| op(e2,e2) != e3
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_159,c_0_113]) ).
cnf(c_0_166,plain,
( op(e1,e1) = e3
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_148,c_0_160]) ).
cnf(c_0_167,plain,
( op(e2,e2) = e3
| op(e0,e0) = e3
| op(e3,e3) != e1 ),
inference(csr,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_168,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_169,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_170,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_116]) ).
cnf(c_0_171,plain,
( op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e0) = e1
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_165,c_0_44]) ).
cnf(c_0_172,plain,
( op(e0,e0) = e1
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_166,c_0_113]) ).
cnf(c_0_173,plain,
( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e1,e1) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_174,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e1,e1) != e3
| op(e1,e1) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_175,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_176,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e2,e2) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_177,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_178,plain,
( op(e2,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_179,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e1,e1) != e3 ),
inference(csr,[status(thm)],[c_0_173,c_0_174]) ).
fof(c_0_180,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[ax26]) ).
cnf(c_0_181,plain,
( op(e0,e0) = e3
| op(e2,e2) = e3
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_182,plain,
( op(e0,e0) = e3
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).
cnf(c_0_183,plain,
( e3 != op(op(e0,e0),e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_184,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_185,plain,
( op(e0,e0) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_39]) ).
cnf(c_0_186,plain,
( op(e0,e0) = e1
| op(e2,e2) != e1
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_183,c_0_113]) ).
cnf(c_0_187,plain,
( op(e0,e0) = e1
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_182]),c_0_39]) ).
cnf(c_0_188,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_189,plain,
( op(e0,e0) = e3
| op(e3,e0) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_153]) ).
cnf(c_0_190,plain,
( op(e0,e0) = e3
| op(e0,e0) = e1
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_186,c_0_182]) ).
cnf(c_0_191,plain,
( op(e0,e0) = e3
| op(e0,e0) = e1
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_90,c_0_187]) ).
fof(c_0_192,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[ax22]) ).
cnf(c_0_193,plain,
( 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_188,c_0_189]),c_0_39]),c_0_190]),c_0_191]) ).
cnf(c_0_194,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) = e0
| op(e0,e0) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_195,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) != e1
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_196,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax8]) ).
fof(c_0_197,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(fof_nnf,[status(thm)],[ax28]) ).
cnf(c_0_198,plain,
( e2 != op(op(e0,e0),e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_199,plain,
op(e0,e0) = e1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_193]),c_0_49]),c_0_39]) ).
cnf(c_0_200,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) != e1 ),
inference(csr,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_201,plain,
( e0 != op(op(e1,e1),e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_202,plain,
( e3 != op(op(e0,e0),e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(e0,e0) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_203,plain,
( op(e1,e1) != e3
| op(e1,e0) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_199]),c_0_199]),c_0_199]),c_0_199])]) ).
cnf(c_0_204,plain,
( op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_199]),c_0_199]),c_0_39]),c_0_32]) ).
cnf(c_0_205,plain,
( op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_143]),c_0_33]) ).
cnf(c_0_206,plain,
( op(e3,e3) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_199]),c_0_32]) ).
cnf(c_0_207,plain,
( op(e3,e3) = e0
| op(e2,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_199])]) ).
cnf(c_0_208,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e3
| op(e3,e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_54]),c_0_31]) ).
cnf(c_0_209,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e3
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_90,c_0_54]) ).
cnf(c_0_210,plain,
( op(e1,e1) != e2
| op(e1,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_199]),c_0_199]),c_0_199]),c_0_199])]) ).
cnf(c_0_211,plain,
( op(e1,e1) = e2
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_212,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_175,c_0_205]) ).
cnf(c_0_213,plain,
( op(e2,e2) = e0
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_33]) ).
cnf(c_0_214,plain,
( op(e1,e1) = e2
| op(e3,e1) != e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_199]),c_0_199]),c_0_32]),c_0_39]) ).
cnf(c_0_215,plain,
op(e1,e0) != e3,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_199]),c_0_199]),c_0_32]),c_0_39]),c_0_210]) ).
cnf(c_0_216,plain,
op(e1,e0) != e2,
inference(spm,[status(thm)],[c_0_90,c_0_211]) ).
cnf(c_0_217,plain,
( op(e3,e0) = e0
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_199]),c_0_32]),c_0_213]),c_0_214]) ).
cnf(c_0_218,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_199]),c_0_39]),c_0_215]) ).
cnf(c_0_219,plain,
( op(e1,e1) = e2
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_199]),c_0_32]),c_0_216]) ).
cnf(c_0_220,plain,
( op(e2,e0) = e3
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_38]) ).
cnf(c_0_221,plain,
( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_85,c_0_28]) ).
cnf(c_0_222,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_223,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(fof_nnf,[status(thm)],[ax10]) ).
cnf(c_0_224,plain,
( op(e2,e2) = e3
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_199]),c_0_39]) ).
cnf(c_0_225,plain,
op(e1,e1) = e2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_49]) ).
cnf(c_0_226,plain,
( op(e2,e1) = e0
| op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_227,plain,
( e0 != op(op(e1,e1),e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(e1,e1) ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_228,plain,
op(e2,e2) = e3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_225]),c_0_49]) ).
cnf(c_0_229,plain,
( op(e1,e1) = e0
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_226]),c_0_38]) ).
cnf(c_0_230,plain,
op(e2,e1) != e0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_225]),c_0_225]),c_0_225]),c_0_225])]),c_0_228])]) ).
cnf(c_0_231,plain,
( op(e1,e1) = e3
| op(e2,e0) != e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_199]),c_0_39]) ).
cnf(c_0_232,plain,
( op(e1,e1) = e0
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_128]),c_0_38]) ).
cnf(c_0_233,plain,
op(e0,e1) = e0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_199]),c_0_39]),c_0_225]),c_0_225]),c_0_33]),c_0_230]),c_0_49]) ).
cnf(c_0_234,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_235,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_236,plain,
op(e2,e0) != e3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_225]),c_0_49]) ).
cnf(c_0_237,plain,
( op(e2,e2) = e0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_85,c_0_207]) ).
cnf(c_0_238,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_239,plain,
( op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_199]),c_0_39]),c_0_225]),c_0_225]),c_0_33]),c_0_49]) ).
cnf(c_0_240,plain,
op(e0,e2) != e0,
inference(rw,[status(thm)],[c_0_144,c_0_233]) ).
cnf(c_0_241,plain,
( op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_242,plain,
op(e3,e0) = e3,
inference(sr,[status(thm)],[c_0_218,c_0_236]) ).
cnf(c_0_243,plain,
op(e3,e1) != e2,
inference(rw,[status(thm)],[c_0_163,c_0_225]) ).
cnf(c_0_244,plain,
op(e3,e1) != e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_228]),c_0_38]) ).
cnf(c_0_245,plain,
( op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1
| op(e3,e1) != e1 ),
inference(spm,[status(thm)],[c_0_238,c_0_79]) ).
cnf(c_0_246,plain,
op(e0,e2) != e1,
inference(rw,[status(thm)],[c_0_119,c_0_199]) ).
cnf(c_0_247,plain,
op(e1,e2) = e0,
inference(sr,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_248,plain,
op(e3,e1) = e1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_242])]),c_0_243]),c_0_244]) ).
cnf(c_0_249,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_228]),c_0_39]),c_0_246]),c_0_247]),c_0_248])]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG139+1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 06:03:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.74/0.83 % Version : CSE_E---1.5
% 0.74/0.83 % Problem : theBenchmark.p
% 0.74/0.83 % Proof found
% 0.74/0.83 % SZS status Theorem for theBenchmark.p
% 0.74/0.83 % SZS output start Proof
% See solution above
% 0.74/0.85 % Total time : 0.262000 s
% 0.74/0.85 % SZS output end Proof
% 0.74/0.85 % Total time : 0.267000 s
%------------------------------------------------------------------------------