TSTP Solution File: ALG193+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG193+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 : Mon May 20 18:05:17 EDT 2024
% Result : Unsatisfiable 2.57s 0.94s
% Output : CNFRefutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 13
% Syntax : Number of formulae : 259 ( 78 unt; 0 def)
% Number of atoms : 1399 (1398 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 1588 ( 448 ~; 681 |; 459 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax3,axiom,
( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax6,axiom,
( op(op(e0,e0),e0) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e4),e4) = e0
& op(op(e1,e0),e0) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e4),e4) = e1
& op(op(e2,e0),e0) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e4),e4) = e2
& op(op(e3,e0),e0) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e4),e4) = e3
& op(op(e4,e0),e0) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e4),e4) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax29,axiom,
~ ( e0 = op(e1,e4)
& e3 = op(e4,op(e1,e4))
& e2 = op(op(e1,e4),op(e4,op(e1,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(ax121,axiom,
~ ( e4 = op(e1,e3)
& e0 = op(e3,op(e1,e3))
& e2 = op(op(e1,e3),op(e3,op(e1,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax21,axiom,
~ ( e0 = op(e1,e3)
& e2 = op(e3,op(e1,e3))
& e4 = op(op(e1,e3),op(e3,op(e1,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(ax23,axiom,
~ ( e0 = op(e1,e3)
& e4 = op(e3,op(e1,e3))
& e2 = op(op(e1,e3),op(e3,op(e1,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(ax28,axiom,
~ ( e0 = op(e3,e4)
& e2 = op(e4,op(e3,e4))
& e1 = op(op(e3,e4),op(e4,op(e3,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(ax18,axiom,
~ ( e0 = op(e3,e2)
& e4 = op(e2,op(e3,e2))
& e1 = op(op(e3,e2),op(e2,op(e3,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(ax22,axiom,
~ ( e0 = op(e4,e3)
& e2 = op(e3,op(e4,e3))
& e1 = op(op(e4,e3),op(e3,op(e4,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(c_0_13,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_14,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
cnf(c_0_15,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_16,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_17,plain,
op(op(e4,e0),e0) = e4,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_18,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_20,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_21,plain,
op(op(e3,e0),e0) = e3,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_22,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(fof_simplification,[status(thm)],[ax4]) ).
cnf(c_0_24,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_25,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_26,plain,
op(op(e2,e0),e0) = e2,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_27,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_28,plain,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
inference(fof_nnf,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_30,plain,
( op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]) ).
cnf(c_0_31,plain,
op(op(e1,e0),e0) = e1,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_32,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_33,plain,
op(e0,e0) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
op(e0,e0) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_35,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_37,plain,
op(e0,e4) != e0,
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_39,plain,
op(e0,e3) != e0,
inference(rw,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_40,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_41,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_42,plain,
op(op(e3,e4),e4) = e3,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_43,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_44,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_45,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_46,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(sr,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_47,plain,
op(op(e4,e3),e3) = e4,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_48,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,plain,
op(op(e3,e3),op(e3,e3)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_50,plain,
( op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_51,plain,
op(op(e3,e3),e3) = e3,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_52,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_53,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_44,c_0_34]) ).
cnf(c_0_54,plain,
( op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_34]),c_0_18]) ).
cnf(c_0_55,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_57,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e4) = e3 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e3) = e3 ),
inference(spm,[status(thm)],[c_0_51,c_0_50]) ).
cnf(c_0_59,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(sr,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,plain,
op(e2,e3) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_61,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_42,c_0_54]) ).
cnf(c_0_62,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e2,e3) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_34]),c_0_22]) ).
cnf(c_0_63,plain,
( op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_64,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_65,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_42,c_0_59]) ).
fof(c_0_66,plain,
( e0 != op(e1,e4)
| e3 != op(e4,op(e1,e4))
| e2 != op(op(e1,e4),op(e4,op(e1,e4))) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).
cnf(c_0_67,plain,
( op(e0,e4) = e3
| op(e1,e4) = e0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_69,plain,
( op(e1,e3) = e4
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_18]) ).
cnf(c_0_70,plain,
( op(e0,op(e3,e2)) = e3
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_64,c_0_62]) ).
cnf(c_0_71,plain,
( op(e0,e4) = e3
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_65]),c_0_34]),c_0_22]) ).
cnf(c_0_72,plain,
( e0 != op(e1,e4)
| e3 != op(e4,op(e1,e4))
| e2 != op(op(e1,e4),op(e4,op(e1,e4))) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e1,e4) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_67,c_0_62]) ).
cnf(c_0_74,plain,
( op(e4,op(e3,e1)) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
( op(e3,e1) = e0
| op(e0,e4) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_34]),c_0_22]) ).
cnf(c_0_76,plain,
op(op(e2,e3),e3) = e2,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_77,plain,
( op(e0,e4) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0
| op(e0,op(e4,e0)) != e2
| op(e4,e0) != e3 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,plain,
( op(e0,e4) = e3
| op(e1,e3) = e0
| op(e0,e3) = e4
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_76,c_0_62]) ).
cnf(c_0_80,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_81,plain,
( e4 != op(e1,e3)
| e0 != op(e3,op(e1,e3))
| e2 != op(op(e1,e3),op(e3,op(e1,e3))) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax121])]) ).
cnf(c_0_82,plain,
op(op(e1,e3),e3) = e1,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_83,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e4) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_84,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_85,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[c_0_80,c_0_34]) ).
cnf(c_0_86,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_87,plain,
( e4 != op(e1,e3)
| e0 != op(e3,op(e1,e3))
| e2 != op(op(e1,e3),op(e3,op(e1,e3))) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_88,plain,
op(op(e0,e4),e4) = e0,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_89,plain,
( op(e0,e4) = e3
| op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,plain,
op(e0,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_91,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e4,e3) = e1 ),
inference(spm,[status(thm)],[c_0_82,c_0_69]) ).
cnf(c_0_92,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_93,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,plain,
( op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_86]),c_0_42]),c_0_43]) ).
cnf(c_0_95,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e4,op(e3,e4)) != e2
| op(e3,e4) != e0 ),
inference(spm,[status(thm)],[c_0_87,c_0_69]) ).
cnf(c_0_96,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e3,e4) = e0 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_97,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,plain,
( op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_88]),c_0_18]) ).
cnf(c_0_99,plain,
op(e4,e0) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_100,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e3,e3) = e4 ),
inference(spm,[status(thm)],[c_0_47,c_0_94]) ).
cnf(c_0_101,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e4,e0) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_102,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_17,c_0_98]) ).
cnf(c_0_103,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e4,e0) != e1 ),
inference(spm,[status(thm)],[c_0_99,c_0_91]) ).
cnf(c_0_104,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_105,plain,
( op(e3,e3) = e4
| op(e4,e3) = e1
| op(e4,e3) = e0
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[c_0_47,c_0_100]) ).
cnf(c_0_106,plain,
( op(e3,e0) = e4
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_107,plain,
( op(e1,op(e3,e4)) = e3
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_104,c_0_91]) ).
cnf(c_0_108,plain,
op(op(e2,e4),e4) = e2,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_109,plain,
op(e1,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_110,plain,
( op(e2,e3) = e4
| op(e4,e3) = e0
| op(e3,e3) = e4
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[c_0_47,c_0_105]) ).
cnf(c_0_111,plain,
op(e1,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_112,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_21,c_0_106]) ).
cnf(c_0_113,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e1,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_96]),c_0_97]) ).
cnf(c_0_114,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_115,plain,
( op(e0,e4) = e3
| op(e1,e4) = e0
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_108,c_0_61]) ).
cnf(c_0_116,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_117,plain,
( op(e1,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_118,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_119,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_121,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_122,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_123,plain,
op(e1,e0) != e0,
inference(rw,[status(thm)],[c_0_116,c_0_34]) ).
cnf(c_0_124,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_125,plain,
( op(e0,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_18]) ).
cnf(c_0_126,plain,
( op(e0,e3) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_119,c_0_83]) ).
cnf(c_0_127,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_128,plain,
op(e0,e2) != e0,
inference(rw,[status(thm)],[c_0_120,c_0_34]) ).
cnf(c_0_129,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_34]),c_0_18]) ).
cnf(c_0_130,plain,
op(op(e1,e4),e4) = e1,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_131,plain,
( op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_132,plain,
( op(e2,e3) = e4
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_63]) ).
cnf(c_0_133,plain,
( op(e0,e4) = e2
| op(e0,e3) = e4
| op(e3,e4) = e0 ),
inference(spm,[status(thm)],[c_0_88,c_0_126]) ).
cnf(c_0_134,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_76,c_0_63]) ).
cnf(c_0_135,plain,
op(op(e4,e2),e2) = e4,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_136,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(sr,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_137,plain,
( op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_129]),c_0_88]),c_0_18]) ).
cnf(c_0_138,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e0,e4) = e1 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_139,plain,
( op(e0,e3) = e4
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_76,c_0_132]) ).
fof(c_0_140,plain,
( e0 != op(e1,e3)
| e2 != op(e3,op(e1,e3))
| e4 != op(op(e1,e3),op(e3,op(e1,e3))) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).
cnf(c_0_141,plain,
( op(op(e4,e3),e0) = e3
| op(e0,e3) = e4
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_104,c_0_133]) ).
cnf(c_0_142,plain,
( op(op(e3,e4),e2) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_40,c_0_134]) ).
cnf(c_0_143,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_144,plain,
op(op(e3,e2),e2) = e3,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_145,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e4 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_146,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_21,c_0_137]) ).
cnf(c_0_147,plain,
op(op(e1,e2),e2) = e1,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_148,plain,
( op(e0,e4) = e1
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_82,c_0_138]) ).
fof(c_0_149,plain,
( e0 != op(e1,e3)
| e4 != op(e3,op(e1,e3))
| e2 != op(op(e1,e3),op(e3,op(e1,e3))) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])]) ).
cnf(c_0_150,plain,
( op(e0,e3) = e4
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_99,c_0_139]) ).
cnf(c_0_151,plain,
( e0 != op(e1,e3)
| e2 != op(e3,op(e1,e3))
| e4 != op(op(e1,e3),op(e3,op(e1,e3))) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_152,plain,
( op(e0,e4) = e2
| op(e0,e3) = e4
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_141,c_0_139]) ).
cnf(c_0_153,plain,
( op(e0,e4) = e2
| op(e0,e3) = e4
| op(e1,e3) = e4
| op(e0,e2) = e4 ),
inference(spm,[status(thm)],[c_0_142,c_0_133]) ).
cnf(c_0_154,plain,
( op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_34]),c_0_27]) ).
cnf(c_0_155,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_156,plain,
( op(e0,e2) = e4
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
fof(c_0_157,plain,
( e0 != op(e3,e4)
| e2 != op(e4,op(e3,e4))
| e1 != op(op(e3,e4),op(e4,op(e3,e4))) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_158,plain,
( op(e2,e0) = e4
| op(e1,e0) = e4
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_111,c_0_146]) ).
cnf(c_0_159,plain,
( op(e1,e0) = e3
| op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_82,c_0_113]) ).
cnf(c_0_160,plain,
op(op(e1,e1),op(e1,e1)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_161,plain,
( op(e0,e3) = e1
| op(e1,e1) = e0
| op(e0,e4) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_162,plain,
( e0 != op(e1,e3)
| e4 != op(e3,op(e1,e3))
| e2 != op(op(e1,e3),op(e3,op(e1,e3))) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_163,plain,
( op(e3,e0) = e4
| op(e4,e0) = e1
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_150,c_0_102]) ).
cnf(c_0_164,plain,
( op(e0,e3) = e4
| op(e0,op(e3,e0)) != e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_151,c_0_118]) ).
cnf(c_0_165,plain,
( op(e0,e3) = e4
| op(e0,e4) = e2
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_26,c_0_152]) ).
cnf(c_0_166,plain,
( op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_118]),c_0_18]) ).
cnf(c_0_167,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(spm,[status(thm)],[c_0_17,c_0_154]) ).
cnf(c_0_168,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_169,plain,
( op(e0,e3) = e2
| op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_82,c_0_79]) ).
cnf(c_0_170,plain,
( op(e0,e2) = e3
| op(e1,e2) = e0
| op(e0,e2) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_34]),c_0_27]) ).
cnf(c_0_171,plain,
( op(e3,e1) = e0
| op(e0,e4) = e3
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_144,c_0_71]) ).
cnf(c_0_172,plain,
( e0 != op(e3,e4)
| e2 != op(e4,op(e3,e4))
| e1 != op(op(e3,e4),op(e4,op(e3,e4))) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_173,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e2,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_43]) ).
cnf(c_0_174,plain,
( op(e0,e2) = e1
| op(e0,e4) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_34]),c_0_32]) ).
cnf(c_0_175,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_176,plain,
( op(e0,e3) = e4
| op(e0,op(e3,e0)) != e2
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_162,c_0_118]) ).
cnf(c_0_177,plain,
( op(e0,e3) = e4
| op(e3,e0) = e4
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_17,c_0_163]) ).
cnf(c_0_178,plain,
( op(e0,e4) = e2
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]) ).
cnf(c_0_179,plain,
( op(e2,e0) = e4
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_21,c_0_167]) ).
cnf(c_0_180,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e2) != e4 ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_181,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_147,c_0_170]) ).
cnf(c_0_182,plain,
( op(op(e1,e3),e0) = e3
| op(e0,e2) = e3
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_68,c_0_171]) ).
cnf(c_0_183,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1
| op(e0,op(e4,e0)) != e1
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_172,c_0_96]) ).
cnf(c_0_184,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[c_0_26,c_0_173]) ).
cnf(c_0_185,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_89]),c_0_175]) ).
cnf(c_0_186,plain,
( op(e1,e0) = e4
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_187,plain,
op(e2,e1) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_188,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_189,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_190,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[c_0_26,c_0_179]) ).
cnf(c_0_191,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_192,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_193,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_194,plain,
( op(e0,e3) = e4
| op(e0,e4) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_83]),c_0_34]),c_0_22]) ).
cnf(c_0_195,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_196,plain,
op(op(e0,e3),e3) = e0,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_197,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).
cnf(c_0_198,plain,
( op(e2,op(e4,e0)) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_92,c_0_178]) ).
cnf(c_0_199,plain,
( op(e0,e3) = e4
| op(e4,e0) = e1 ),
inference(spm,[status(thm)],[c_0_31,c_0_186]) ).
cnf(c_0_200,plain,
( op(e0,e3) = e4
| op(e2,e1) != e4 ),
inference(spm,[status(thm)],[c_0_187,c_0_132]) ).
cnf(c_0_201,plain,
( op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_34]),c_0_22]) ).
cnf(c_0_202,plain,
( op(e1,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_203,plain,
( op(e0,e3) = e1
| op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_185]),c_0_192]),c_0_193]) ).
cnf(c_0_204,plain,
( op(e0,e2) = e3
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_178]),c_0_195]) ).
cnf(c_0_205,plain,
( op(e0,e3) = e1
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_206,plain,
op(e0,e3) = e4,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).
cnf(c_0_207,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_208,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_209,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_201]),c_0_195]),c_0_202]) ).
fof(c_0_210,plain,
( e0 != op(e3,e2)
| e4 != op(e2,op(e3,e2))
| e1 != op(op(e3,e2),op(e2,op(e3,e2))) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])]) ).
cnf(c_0_211,plain,
op(op(e0,e2),e2) = e0,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_212,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_193]) ).
cnf(c_0_213,plain,
( op(op(e3,e0),e4) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_19,c_0_197]) ).
cnf(c_0_214,plain,
op(e4,e3) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_206]),c_0_193]) ).
cnf(c_0_215,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_34]),c_0_32]) ).
cnf(c_0_216,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e2
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_137]),c_0_192]) ).
cnf(c_0_217,plain,
( op(e1,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e3
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_196]),c_0_22]) ).
cnf(c_0_218,plain,
( e0 != op(e3,e2)
| e4 != op(e2,op(e3,e2))
| e1 != op(op(e3,e2),op(e2,op(e3,e2))) ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_219,plain,
( op(e0,e2) = e1
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_220,plain,
op(op(e3,e0),e4) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_206]),c_0_193]) ).
cnf(c_0_221,plain,
op(e4,e4) != e0,
inference(rw,[status(thm)],[c_0_56,c_0_214]) ).
cnf(c_0_222,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_17,c_0_215]) ).
cnf(c_0_223,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_224,plain,
( op(e1,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_43]),c_0_195]) ).
cnf(c_0_225,plain,
( op(e0,e2) = e1
| op(e0,op(e2,e0)) != e1
| op(e2,e0) != e4 ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_226,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_137]),c_0_221]) ).
cnf(c_0_227,plain,
( op(e0,e4) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_206]),c_0_193]) ).
cnf(c_0_228,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_229,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e1,e4) = e0 ),
inference(spm,[status(thm)],[c_0_88,c_0_174]) ).
cnf(c_0_230,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_231,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_17,c_0_201]) ).
cnf(c_0_232,plain,
( op(e1,e0) = e4
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_21,c_0_222]) ).
cnf(c_0_233,plain,
( op(e1,e0) = e4
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_211]),c_0_27]) ).
cnf(c_0_234,plain,
( op(op(e4,e0),e1) = e0
| op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_15,c_0_174]) ).
cnf(c_0_235,plain,
( op(e1,e0) = e4
| op(e0,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).
cnf(c_0_236,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_237,plain,
( op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e1,e0) != e4 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_238,plain,
( op(e1,e0) = e3
| op(e1,e0) = e1
| op(e1,e0) = e4
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_26,c_0_232]) ).
cnf(c_0_239,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e4,e0) = e1 ),
inference(spm,[status(thm)],[c_0_31,c_0_233]) ).
cnf(c_0_240,plain,
( op(op(e4,e0),e1) = e0
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_206]),c_0_193]) ).
cnf(c_0_241,plain,
( op(e0,e2) = e1
| op(e4,e0) = e1 ),
inference(spm,[status(thm)],[c_0_31,c_0_235]) ).
cnf(c_0_242,plain,
( op(e0,e2) = e1
| op(e1,e1) != e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_206]),c_0_193]) ).
cnf(c_0_243,plain,
op(e4,e1) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_244,plain,
( e0 != op(e4,e3)
| e2 != op(e3,op(e4,e3))
| e1 != op(op(e4,e3),op(e3,op(e4,e3))) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
cnf(c_0_245,plain,
( op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_43]) ).
cnf(c_0_246,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_111,c_0_239]) ).
cnf(c_0_247,plain,
op(e0,e2) = e1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]) ).
cnf(c_0_248,plain,
( op(e0,e3) = e1
| op(e4,e1) != e0 ),
inference(spm,[status(thm)],[c_0_243,c_0_205]) ).
cnf(c_0_249,plain,
( e0 != op(e4,e3)
| e2 != op(e3,op(e4,e3))
| e1 != op(op(e4,e3),op(e3,op(e4,e3))) ),
inference(split_conjunct,[status(thm)],[c_0_244]) ).
cnf(c_0_250,plain,
( op(e2,e0) = e3
| op(e1,e0) = e3
| op(e1,e0) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_245]),c_0_196]),c_0_22]),c_0_246]) ).
cnf(c_0_251,plain,
op(op(e2,e0),e1) = e0,
inference(rw,[status(thm)],[c_0_24,c_0_247]) ).
cnf(c_0_252,plain,
op(e4,e1) != e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_206]),c_0_193]) ).
cnf(c_0_253,plain,
( op(e0,e3) = e1
| op(e0,op(e3,e0)) != e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_249,c_0_205]) ).
cnf(c_0_254,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_26,c_0_250]) ).
cnf(c_0_255,plain,
op(e1,e0) = e4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_226]),c_0_252]) ).
cnf(c_0_256,plain,
( op(e0,op(e3,e0)) != e1
| op(e3,e0) != e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_206]),c_0_193]) ).
cnf(c_0_257,plain,
op(e3,e0) = e2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_255]),c_0_255]),c_0_192]),c_0_43]) ).
cnf(c_0_258,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_257]),c_0_247]),c_0_257])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG193+1 : TPTP v8.2.0. Released v2.7.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 23:52:07 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.57/0.94 # Version: 3.1.0
% 2.57/0.94 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.57/0.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.57/0.94 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.57/0.94 # Starting new_bool_3 with 300s (1) cores
% 2.57/0.94 # Starting new_bool_1 with 300s (1) cores
% 2.57/0.94 # Starting sh5l with 300s (1) cores
% 2.57/0.94 # new_bool_1 with pid 22048 completed with status 8
% 2.57/0.94 # sh5l with pid 22049 completed with status 8
% 2.57/0.94 # new_bool_3 with pid 22047 completed with status 8
% 2.57/0.94 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 22046 completed with status 0
% 2.57/0.94 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.57/0.94 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.57/0.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.57/0.94 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.57/0.94 # No SInE strategy applied
% 2.57/0.94 # Search class: FGHPF-FSLM22-MFFFFFNN
% 2.57/0.94 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.57/0.94 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 2.57/0.94 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.57/0.94 # Starting new_bool_3 with 136s (1) cores
% 2.57/0.94 # Starting new_bool_1 with 136s (1) cores
% 2.57/0.94 # Starting sh5l with 136s (1) cores
% 2.57/0.94 # new_bool_1 with pid 22069 completed with status 0
% 2.57/0.94 # Result found by new_bool_1
% 2.57/0.94 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.57/0.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.57/0.94 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.57/0.94 # No SInE strategy applied
% 2.57/0.94 # Search class: FGHPF-FSLM22-MFFFFFNN
% 2.57/0.94 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.57/0.94 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 2.57/0.94 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.57/0.94 # Starting new_bool_3 with 136s (1) cores
% 2.57/0.94 # Starting new_bool_1 with 136s (1) cores
% 2.57/0.94 # Preprocessing time : 0.004 s
% 2.57/0.94 # Presaturation interreduction done
% 2.57/0.94
% 2.57/0.94 # Proof found!
% 2.57/0.94 # SZS status Unsatisfiable
% 2.57/0.94 # SZS output start CNFRefutation
% See solution above
% 2.57/0.94 # Parsed axioms : 126
% 2.57/0.94 # Removed by relevancy pruning/SinE : 0
% 2.57/0.94 # Initial clauses : 355
% 2.57/0.94 # Removed in clause preprocessing : 0
% 2.57/0.94 # Initial clauses in saturation : 355
% 2.57/0.94 # Processed clauses : 5765
% 2.57/0.94 # ...of these trivial : 59
% 2.57/0.94 # ...subsumed : 3090
% 2.57/0.94 # ...remaining for further processing : 2616
% 2.57/0.94 # Other redundant clauses eliminated : 0
% 2.57/0.94 # Clauses deleted for lack of memory : 0
% 2.57/0.94 # Backward-subsumed : 1215
% 2.57/0.94 # Backward-rewritten : 786
% 2.57/0.94 # Generated clauses : 27244
% 2.57/0.94 # ...of the previous two non-redundant : 27102
% 2.57/0.94 # ...aggressively subsumed : 0
% 2.57/0.94 # Contextual simplify-reflections : 24
% 2.57/0.94 # Paramodulations : 26925
% 2.57/0.94 # Factorizations : 187
% 2.57/0.94 # NegExts : 0
% 2.57/0.94 # Equation resolutions : 0
% 2.57/0.94 # Disequality decompositions : 0
% 2.57/0.94 # Total rewrite steps : 2464
% 2.57/0.94 # ...of those cached : 2430
% 2.57/0.94 # Propositional unsat checks : 0
% 2.57/0.94 # Propositional check models : 0
% 2.57/0.94 # Propositional check unsatisfiable : 0
% 2.57/0.94 # Propositional clauses : 0
% 2.57/0.94 # Propositional clauses after purity: 0
% 2.57/0.94 # Propositional unsat core size : 0
% 2.57/0.94 # Propositional preprocessing time : 0.000
% 2.57/0.94 # Propositional encoding time : 0.000
% 2.57/0.94 # Propositional solver time : 0.000
% 2.57/0.94 # Success case prop preproc time : 0.000
% 2.57/0.94 # Success case prop encoding time : 0.000
% 2.57/0.94 # Success case prop solver time : 0.000
% 2.57/0.94 # Current number of processed clauses : 128
% 2.57/0.94 # Positive orientable unit clauses : 36
% 2.57/0.94 # Positive unorientable unit clauses: 0
% 2.57/0.94 # Negative unit clauses : 63
% 2.57/0.94 # Non-unit-clauses : 29
% 2.57/0.94 # Current number of unprocessed clauses: 21035
% 2.57/0.94 # ...number of literals in the above : 132770
% 2.57/0.94 # Current number of archived formulas : 0
% 2.57/0.94 # Current number of archived clauses : 2488
% 2.57/0.94 # Clause-clause subsumption calls (NU) : 65465
% 2.57/0.94 # Rec. Clause-clause subsumption calls : 10448
% 2.57/0.94 # Non-unit clause-clause subsumptions : 1998
% 2.57/0.94 # Unit Clause-clause subsumption calls : 5105
% 2.57/0.94 # Rewrite failures with RHS unbound : 0
% 2.57/0.94 # BW rewrite match attempts : 16
% 2.57/0.94 # BW rewrite match successes : 16
% 2.57/0.94 # Condensation attempts : 0
% 2.57/0.94 # Condensation successes : 0
% 2.57/0.94 # Termbank termtop insertions : 376922
% 2.57/0.94 # Search garbage collected termcells : 1057
% 2.57/0.94
% 2.57/0.94 # -------------------------------------------------
% 2.57/0.94 # User time : 0.441 s
% 2.57/0.94 # System time : 0.012 s
% 2.57/0.94 # Total time : 0.453 s
% 2.57/0.94 # Maximum resident set size: 2292 pages
% 2.57/0.94
% 2.57/0.94 # -------------------------------------------------
% 2.57/0.94 # User time : 2.210 s
% 2.57/0.94 # System time : 0.091 s
% 2.57/0.94 # Total time : 2.300 s
% 2.57/0.94 # Maximum resident set size: 1888 pages
% 2.57/0.94 % E---3.1 exiting
% 2.57/0.94 % E exiting
%------------------------------------------------------------------------------