%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG193+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:01:29 PM UTC 2026
% Result : Unsatisfiable 3.46s 6.29s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 12
% Syntax : Number of formulae : 322 ( 102 unt; 0 def)
% Number of atoms : 1540 (1539 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 1691 ( 473 ~; 761 |; 457 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 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,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax3,axiom,
( op(op(e4,e4),op(e4,e4)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e0,e0),op(e0,e0)) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax2,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax6,axiom,
( op(op(e4,e4),e4) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e0),e0) = e4
& op(op(e3,e4),e4) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e0),e0) = e3
& op(op(e2,e4),e4) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e0),e0) = e2
& op(op(e1,e4),e4) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e0) = e1
& op(op(e0,e4),e4) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e0),e0) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax29,axiom,
~ ( e2 = op(op(e1,e4),op(e4,op(e1,e4)))
& e3 = op(e4,op(e1,e4))
& e0 = op(e1,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(ax28,axiom,
~ ( e1 = op(op(e3,e4),op(e4,op(e3,e4)))
& e2 = op(e4,op(e3,e4))
& e0 = op(e3,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(ax1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax21,axiom,
~ ( e4 = op(op(e1,e3),op(e3,op(e1,e3)))
& e2 = op(e3,op(e1,e3))
& e0 = op(e1,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(ax23,axiom,
~ ( e2 = op(op(e1,e3),op(e3,op(e1,e3)))
& e4 = op(e3,op(e1,e3))
& e0 = op(e1,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(ax25,axiom,
~ ( e3 = op(op(e2,e4),op(e4,op(e2,e4)))
& e1 = op(e4,op(e2,e4))
& e0 = op(e2,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(ax18,axiom,
~ ( e1 = op(op(e3,e2),op(e2,op(e3,e2)))
& e4 = op(e2,op(e3,e2))
& e0 = op(e3,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(c_0_12,plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_13,plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_12]) ).
cnf(c_0_14,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_15,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_16,plain,
op(op(e4,e0),e0) = e4,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_17,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_19,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_20,plain,
op(op(e3,e0),e0) = e3,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_21,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_22,plain,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_simplification,[status(thm)],[ax4]) ).
cnf(c_0_23,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_24,plain,
( 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_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_25,plain,
op(op(e2,e0),e0) = e2,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_26,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_27,plain,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_nnf,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_29,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_30,plain,
op(op(e1,e0),e0) = e1,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_31,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,plain,
op(e0,e0) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
op(e0,e0) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_34,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_36,plain,
op(e0,e4) != e0,
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_38,plain,
op(e0,e3) != e0,
inference(rw,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_39,plain,
op(op(e3,e4),op(e4,e3)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_40,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_41,plain,
op(op(e3,e4),e4) = e3,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_42,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_43,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_45,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
op(op(e4,e3),e3) = e4,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_47,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0 ),
inference(sr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,plain,
op(op(e3,e3),op(e3,e3)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_49,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_50,plain,
op(op(e3,e3),e3) = e3,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_51,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_52,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_53,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_33]),c_0_17]) ).
cnf(c_0_54,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_56,plain,
( op(e4,e4) = e3
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( op(e4,e3) = e3
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_58,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,plain,
op(e2,e3) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_60,plain,
( op(e0,e4) = e3
| op(e2,e4) = e0
| op(e1,e4) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_53]) ).
cnf(c_0_61,plain,
( op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_54]),c_0_33]),c_0_21]) ).
cnf(c_0_62,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_63,plain,
op(op(e2,e3),op(e3,e2)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_64,plain,
( op(e0,e4) = e3
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_58]) ).
fof(c_0_65,plain,
( e2 != op(op(e1,e4),op(e4,op(e1,e4)))
| e3 != op(e4,op(e1,e4))
| e0 != op(e1,e4) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).
cnf(c_0_66,plain,
( op(e2,e3) != e0
| op(e1,e4) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_68,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e1,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_17]) ).
cnf(c_0_69,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e0,op(e3,e2)) = e3 ),
inference(spm,[status(thm)],[c_0_63,c_0_61]) ).
cnf(c_0_70,plain,
( op(e3,e2) = e0
| op(e3,e1) = e0
| op(e0,e4) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_64]),c_0_33]),c_0_21]) ).
cnf(c_0_71,plain,
( e2 != op(op(e1,e4),op(e4,op(e1,e4)))
| e3 != op(e4,op(e1,e4))
| e0 != op(e1,e4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
( op(e0,e4) = e3
| op(e1,e4) = e0
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_66,c_0_61]) ).
cnf(c_0_73,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e4,op(e3,e1)) = e3 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e4) = e3
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_33]),c_0_21]) ).
cnf(c_0_75,plain,
op(op(e2,e3),e3) = e2,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_76,plain,
( op(e4,e0) != e3
| op(e0,op(e4,e0)) != e2
| op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
( op(e4,e0) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
( op(e0,e3) = e2
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_75,c_0_61]) ).
cnf(c_0_79,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_80,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_81,plain,
op(op(e4,e1),e1) = e4,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_82,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_83,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_84,plain,
op(op(e1,e3),e3) = e1,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_85,plain,
( op(e0,e4) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_86,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_87,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]) ).
cnf(c_0_88,plain,
op(op(e3,e1),e1) = e3,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_89,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_90,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_91,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_33]),c_0_17]) ).
cnf(c_0_92,plain,
op(op(e0,e4),e4) = e0,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_93,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_94,plain,
( op(e4,e3) = e1
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_84,c_0_68]) ).
cnf(c_0_95,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_96,plain,
op(e0,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_97,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_98,plain,
( op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_99,plain,
op(op(e2,e1),e1) = e2,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_100,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_101,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_17]) ).
cnf(c_0_102,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e1,op(e3,e4)) = e3 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_103,plain,
( op(e3,e4) = e0
| op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_92,c_0_95]) ).
cnf(c_0_104,plain,
( op(e0,e3) != e1
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_96,c_0_94]) ).
cnf(c_0_105,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_106,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_107,plain,
op(e1,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_108,plain,
( op(e4,e0) = e3
| op(e2,e0) = e4
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_20,c_0_101]) ).
cnf(c_0_109,plain,
( op(e1,e0) = e3
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_110,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_111,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_112,plain,
( op(e0,e1) != e1
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_113,plain,
op(op(e0,e1),e1) = e0,
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_114,plain,
( e1 != op(op(e3,e4),op(e4,op(e3,e4)))
| e2 != op(e4,op(e3,e4))
| e0 != op(e3,e4) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_115,plain,
( op(e1,e0) != e3
| op(e1,e0) = e4
| op(e2,e0) = e4 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_116,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_84,c_0_109]) ).
cnf(c_0_117,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_33]),c_0_31]) ).
cnf(c_0_118,plain,
op(e0,e1) != e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_31]) ).
cnf(c_0_119,plain,
op(op(e2,e4),e4) = e2,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_120,plain,
( e1 != op(op(e3,e4),op(e4,op(e3,e4)))
| e2 != op(e4,op(e3,e4))
| e0 != op(e3,e4) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_121,plain,
( op(e2,e0) = e4
| op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_42]) ).
cnf(c_0_122,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(sr,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_123,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_124,plain,
( op(e0,e4) = e2
| op(e1,e4) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_119,c_0_60]) ).
cnf(c_0_125,plain,
( op(e4,e0) != e2
| op(e0,op(e4,e0)) != e1
| op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_120,c_0_103]) ).
cnf(c_0_126,plain,
( op(e4,e0) = e2
| op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_25,c_0_121]) ).
cnf(c_0_127,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_95]),c_0_89]) ).
cnf(c_0_128,plain,
( op(e1,e3) != e0
| op(e0,e4) = e3
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_130,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_131,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).
cnf(c_0_132,plain,
( op(e4,e3) = e2
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_75,c_0_62]) ).
cnf(c_0_133,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_128,c_0_85]) ).
cnf(c_0_134,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_33]),c_0_17]) ).
cnf(c_0_135,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_136,plain,
op(op(e0,e3),e3) = e0,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_137,plain,
( op(e0,e1) != e4
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_138,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(op(e3,e4),e2) = e4 ),
inference(spm,[status(thm)],[c_0_39,c_0_132]) ).
cnf(c_0_139,plain,
( op(e3,e4) = e0
| op(e0,e3) = e4
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_92,c_0_133]) ).
cnf(c_0_140,plain,
( op(e4,e4) = e0
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_92,c_0_134]) ).
cnf(c_0_141,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_135]),c_0_41]),c_0_42]) ).
cnf(c_0_142,plain,
( op(e0,e1) != e4
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_143,plain,
( op(e0,e2) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_144,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_140]),c_0_33]),c_0_17]) ).
cnf(c_0_145,plain,
( op(e3,e3) = e4
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_46,c_0_141]) ).
cnf(c_0_146,plain,
( op(e0,e4) = e2
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_17]),c_0_144]) ).
cnf(c_0_147,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_148,plain,
( op(e2,e3) = e4
| op(e4,e3) = e0
| op(e4,e3) = e1
| op(e3,e3) = e4 ),
inference(spm,[status(thm)],[c_0_46,c_0_145]) ).
cnf(c_0_149,plain,
( op(e2,e4) = e0
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_92,c_0_146]) ).
cnf(c_0_150,plain,
( op(e0,e2) != e4
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_147,c_0_131]) ).
cnf(c_0_151,plain,
op(e1,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_152,plain,
( op(e1,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e0
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[c_0_46,c_0_148]) ).
cnf(c_0_153,plain,
( op(e2,e3) != e0
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference(spm,[status(thm)],[c_0_59,c_0_149]) ).
cnf(c_0_154,plain,
( op(e0,e2) != e4
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_136,c_0_150]) ).
cnf(c_0_155,plain,
( op(e1,e3) != e0
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_156,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_61]),c_0_154]) ).
cnf(c_0_157,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_158,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_159,plain,
( op(e3,e3) = e4
| op(e2,e3) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_17]) ).
cnf(c_0_160,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_161,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[c_0_157,c_0_33]) ).
cnf(c_0_162,plain,
( op(e0,e3) = e4
| op(e2,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_62]) ).
cnf(c_0_163,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0 ),
inference(sr,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_164,plain,
op(op(e3,e2),e2) = e3,
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_165,plain,
( e4 != op(op(e1,e3),op(e3,op(e1,e3)))
| e2 != op(e3,op(e1,e3))
| e0 != op(e1,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).
cnf(c_0_166,plain,
( op(e0,e4) = e2
| op(e0,e3) = e4
| op(op(e4,e3),e0) = e3 ),
inference(spm,[status(thm)],[c_0_93,c_0_139]) ).
cnf(c_0_167,plain,
( op(e4,e3) = e2
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_75,c_0_162]) ).
cnf(c_0_168,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_169,plain,
( op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_163]),c_0_33]),c_0_17]) ).
cnf(c_0_170,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_171,plain,
( op(e0,e2) = e3
| op(e0,e4) = e3
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_164,c_0_70]) ).
cnf(c_0_172,plain,
( e4 != op(op(e1,e3),op(e3,op(e1,e3)))
| e2 != op(e3,op(e1,e3))
| e0 != op(e1,e3) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_173,plain,
( op(e2,e0) = e3
| op(e0,e3) = e4
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_174,plain,
( op(e1,e4) = e0
| op(e0,e4) = e3
| op(e0,op(e4,e2)) = e4 ),
inference(spm,[status(thm)],[c_0_168,c_0_60]) ).
cnf(c_0_175,plain,
( op(e0,e3) = e4
| op(e4,e2) = e0
| op(e4,e1) = e0 ),
inference(spm,[status(thm)],[c_0_46,c_0_169]) ).
cnf(c_0_176,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_177,plain,
op(e0,e2) != e0,
inference(rw,[status(thm)],[c_0_170,c_0_33]) ).
cnf(c_0_178,plain,
( op(e0,e4) = e3
| op(e0,e2) = e3
| op(op(e1,e3),e0) = e3 ),
inference(spm,[status(thm)],[c_0_67,c_0_171]) ).
cnf(c_0_179,plain,
( op(e0,e2) != e4
| op(e3,e0) != e2
| op(e0,op(e3,e0)) != e4 ),
inference(spm,[status(thm)],[c_0_172,c_0_154]) ).
cnf(c_0_180,plain,
( op(e3,e0) = e2
| op(e0,e4) = e2
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_25,c_0_173]) ).
cnf(c_0_181,plain,
( op(e0,e4) = e3
| op(e1,e4) = e0
| op(e4,e1) = e0
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_33]),c_0_17]) ).
cnf(c_0_182,plain,
op(op(e4,e2),e2) = e4,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_183,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0 ),
inference(sr,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_184,plain,
( op(e0,e2) = e3
| op(e0,e4) = e3
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_85]),c_0_33]),c_0_21]) ).
cnf(c_0_185,plain,
( op(e0,e3) = e4
| op(e0,e4) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_146]) ).
cnf(c_0_186,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_187,plain,
( op(e0,e1) = e4
| op(e0,e3) = e4
| op(e1,e4) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_81,c_0_181]) ).
cnf(c_0_188,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_189,plain,
( op(e0,e2) = e4
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_190,plain,
( op(e0,e3) = e4
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]) ).
cnf(c_0_191,plain,
( op(e1,e3) != e0
| op(e0,e4) = e3
| op(e0,e3) = e4
| op(e0,e1) = e4 ),
inference(spm,[status(thm)],[c_0_123,c_0_187]) ).
cnf(c_0_192,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_193,plain,
op(e2,e0) != e0,
inference(rw,[status(thm)],[c_0_188,c_0_33]) ).
cnf(c_0_194,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_195,plain,
( op(e0,e2) = e3
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e4 ),
inference(spm,[status(thm)],[c_0_164,c_0_189]) ).
cnf(c_0_196,plain,
( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_197,plain,
op(op(e0,e2),e2) = e0,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_198,plain,
( op(e0,e1) != e4
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_130,c_0_190]) ).
cnf(c_0_199,plain,
( op(e0,e1) = e4
| op(e0,e3) = e4
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_191,c_0_85]) ).
cnf(c_0_200,plain,
op(op(e1,e4),e4) = e1,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_201,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0 ),
inference(sr,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_202,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_84,c_0_78]) ).
cnf(c_0_203,plain,
op(op(e1,e2),e2) = e1,
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_204,plain,
( op(e0,e2) = e4
| op(e1,e2) = e0
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_33]),c_0_26]) ).
cnf(c_0_205,plain,
( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_33]),c_0_26]) ).
fof(c_0_206,plain,
( e2 != op(op(e1,e3),op(e3,op(e1,e3)))
| e4 != op(e3,op(e1,e3))
| e0 != op(e1,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])]) ).
cnf(c_0_207,plain,
( op(e0,e3) = e4
| op(e4,op(e3,e2)) = e3 ),
inference(spm,[status(thm)],[c_0_63,c_0_162]) ).
cnf(c_0_208,plain,
( op(e0,e1) != e4
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_209,plain,
( op(e0,e3) = e4
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_185]),c_0_186]) ).
cnf(c_0_210,plain,
( op(e0,e4) = e1
| op(e0,e4) = e3
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_200,c_0_124]) ).
cnf(c_0_211,plain,
( op(e0,e4) = e2
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(spm,[status(thm)],[c_0_119,c_0_201]) ).
cnf(c_0_212,plain,
( op(e0,e2) != e4
| op(e0,e3) = e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_147,c_0_202]) ).
cnf(c_0_213,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_214,plain,
( op(e2,e0) = e4
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_16,c_0_205]) ).
cnf(c_0_215,plain,
( e2 != op(op(e1,e3),op(e3,op(e1,e3)))
| e4 != op(e3,op(e1,e3))
| e0 != op(e1,e3) ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_216,plain,
( op(e4,e0) = e3
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]) ).
cnf(c_0_217,plain,
( op(e3,e4) = e0
| op(e0,e4) = e2
| op(e0,e4) = e1 ),
inference(spm,[status(thm)],[c_0_92,c_0_210]) ).
cnf(c_0_218,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_219,plain,
( op(e0,e3) = e2
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_75,c_0_211]) ).
cnf(c_0_220,plain,
( op(e2,e4) = e0
| op(e1,e4) = e0
| op(op(e4,e3),e0) = e3 ),
inference(spm,[status(thm)],[c_0_93,c_0_53]) ).
cnf(c_0_221,plain,
( op(e4,e3) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_136,c_0_131]) ).
cnf(c_0_222,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_223,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_224,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e4 ),
inference(spm,[status(thm)],[c_0_20,c_0_214]) ).
cnf(c_0_225,plain,
( op(e3,e0) != e4
| op(e0,op(e3,e0)) != e2
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_215,c_0_156]) ).
cnf(c_0_226,plain,
( op(e3,e0) = e4
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_16,c_0_216]) ).
cnf(c_0_227,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,op(e4,e3)) = e4 ),
inference(spm,[status(thm)],[c_0_39,c_0_217]) ).
cnf(c_0_228,plain,
( op(e4,e3) = e0
| op(e0,e3) = e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_136,c_0_202]) ).
cnf(c_0_229,plain,
( op(e2,e1) != e0
| op(e0,e4) = e3
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_218,c_0_171]) ).
cnf(c_0_230,plain,
( op(e0,e4) = e2
| op(e2,e1) = e0
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_219]),c_0_33]),c_0_26]) ).
cnf(c_0_231,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_33]),c_0_21]) ).
cnf(c_0_232,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_127]),c_0_223]),c_0_82]) ).
cnf(c_0_233,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_234,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_235,plain,
( op(e4,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_25,c_0_224]) ).
cnf(c_0_236,plain,
op(e0,e3) = e4,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_185]) ).
cnf(c_0_237,plain,
( op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_33]),c_0_17]) ).
cnf(c_0_238,plain,
( op(e0,e2) = e3
| op(e0,e4) = e3
| op(e0,e3) = e2
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_239,plain,
op(e1,e2) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_240,plain,
( op(e0,e4) = e2
| op(e0,e3) = e1
| op(e1,e4) = e0 ),
inference(spm,[status(thm)],[c_0_119,c_0_231]) ).
cnf(c_0_241,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_242,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_190]),c_0_82]) ).
cnf(c_0_243,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_33]),c_0_21]) ).
cnf(c_0_244,plain,
( op(e3,e0) != e2
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_245,plain,
( op(e0,e3) = e1
| op(op(e3,e0),e4) = e0 ),
inference(spm,[status(thm)],[c_0_18,c_0_131]) ).
cnf(c_0_246,plain,
op(e4,e3) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_236]),c_0_82]) ).
cnf(c_0_247,plain,
op(e4,e1) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_248,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_249,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e4) = e2
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_89]),c_0_186]) ).
cnf(c_0_250,plain,
( op(e0,e1) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_99,c_0_230]) ).
cnf(c_0_251,plain,
( op(e1,e2) != e0
| op(e0,e3) = e1
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_252,plain,
( op(e0,e1) != e3
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_253,plain,
( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_254,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_255,plain,
( op(e1,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_243]),c_0_186]),c_0_244]) ).
cnf(c_0_256,plain,
( op(e0,e1) = e3
| op(e0,e4) = e3
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_88,c_0_171]) ).
cnf(c_0_257,plain,
op(op(e3,e0),e4) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_236]),c_0_82]) ).
cnf(c_0_258,plain,
op(e4,e4) != e0,
inference(rw,[status(thm)],[c_0_55,c_0_246]) ).
cnf(c_0_259,plain,
( op(e4,e1) != e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_247,c_0_221]) ).
cnf(c_0_260,plain,
( op(e0,e1) != e2
| op(e0,e2) = e3
| op(e0,e3) = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_261,plain,
op(e2,e2) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_262,plain,
( op(e2,e4) = e0
| op(e0,e3) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_92,c_0_250]) ).
cnf(c_0_263,plain,
( op(e1,e2) != e0
| op(e0,e4) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_236]),c_0_82]) ).
cnf(c_0_264,plain,
( op(e0,e1) != e3
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_197,c_0_252]) ).
cnf(c_0_265,plain,
( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_33]),c_0_31]) ).
cnf(c_0_266,plain,
( op(e2,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e4
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_101]),c_0_223]) ).
cnf(c_0_267,plain,
( op(e2,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e2
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_136]),c_0_21]) ).
cnf(c_0_268,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_256]),c_0_89]),c_0_186]) ).
fof(c_0_269,plain,
( e3 != op(op(e2,e4),op(e4,op(e2,e4)))
| e1 != op(e4,op(e2,e4))
| e0 != op(e2,e4) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])]) ).
cnf(c_0_270,plain,
( op(e0,e1) != e3
| op(op(e2,e0),e1) = e0 ),
inference(spm,[status(thm)],[c_0_23,c_0_252]) ).
cnf(c_0_271,plain,
( op(e2,e0) = e4
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_101]),c_0_258]) ).
cnf(c_0_272,plain,
op(e4,e1) != e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_236]),c_0_82]) ).
cnf(c_0_273,plain,
op(e2,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_274,plain,
( op(e0,e1) != e2
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_236]),c_0_236]),c_0_223]),c_0_82]) ).
cnf(c_0_275,plain,
( op(e2,e2) != e0
| op(e0,e1) = e2
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_276,plain,
( op(e0,e1) != e3
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_277,plain,
( op(e1,e0) = e4
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_16,c_0_265]) ).
cnf(c_0_278,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_279,plain,
( op(e1,e0) = e4
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_42]),c_0_186]) ).
cnf(c_0_280,plain,
( op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_131]),c_0_82]),c_0_223]) ).
cnf(c_0_281,plain,
( e3 != op(op(e2,e4),op(e4,op(e2,e4)))
| e1 != op(e4,op(e2,e4))
| e0 != op(e2,e4) ),
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_282,plain,
( op(e0,e1) != e3
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]) ).
cnf(c_0_283,plain,
( op(e2,e3) != e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_273,c_0_221]) ).
cnf(c_0_284,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_285,plain,
( op(e0,e1) != e2
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_197,c_0_274]) ).
cnf(c_0_286,plain,
( op(e2,e2) != e0
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_236]),c_0_223]) ).
cnf(c_0_287,plain,
op(e2,e1) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_288,plain,
( op(e0,e1) != e3
| op(e2,e4) = e0 ),
inference(spm,[status(thm)],[c_0_92,c_0_276]) ).
cnf(c_0_289,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_290,plain,
( op(e3,e0) = e4
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_16,c_0_243]) ).
cnf(c_0_291,plain,
( op(e1,e0) = e3
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_20,c_0_277]) ).
cnf(c_0_292,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_197]),c_0_26]) ).
cnf(c_0_293,plain,
( op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_190]),c_0_82]) ).
cnf(c_0_294,plain,
( op(e4,e0) != e1
| op(e0,op(e4,e0)) != e3
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(spm,[status(thm)],[c_0_281,c_0_201]) ).
cnf(c_0_295,plain,
( op(e0,e1) != e3
| op(e4,e0) = e1 ),
inference(spm,[status(thm)],[c_0_30,c_0_282]) ).
cnf(c_0_296,plain,
op(e2,e3) != e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_236]),c_0_82]) ).
cnf(c_0_297,plain,
op(e2,e2) != e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_286]) ).
cnf(c_0_298,plain,
( op(e0,e1) != e3
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_299,plain,
( op(e1,e0) != e4
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_300,plain,
( op(e1,e0) = e2
| op(e1,e0) = e4
| op(e1,e0) = e1
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_25,c_0_291]) ).
cnf(c_0_301,plain,
( op(e4,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_30,c_0_292]) ).
fof(c_0_302,plain,
( e1 != op(op(e3,e2),op(e2,op(e3,e2)))
| e4 != op(e2,op(e3,e2))
| e0 != op(e3,e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])]) ).
cnf(c_0_303,plain,
( op(e3,e2) = e0
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_197,c_0_293]) ).
cnf(c_0_304,plain,
op(e0,e1) != e3,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]),c_0_297]),c_0_298]) ).
cnf(c_0_305,plain,
( op(e2,e0) = e3
| op(e3,e0) = e3
| op(e1,e0) = e3
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_42]) ).
cnf(c_0_306,plain,
( op(e1,e0) != e1
| op(e1,e0) = e3
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_107,c_0_301]) ).
cnf(c_0_307,plain,
( e1 != op(op(e3,e2),op(e2,op(e3,e2)))
| e4 != op(e2,op(e3,e2))
| e0 != op(e3,e2) ),
inference(split_conjunct,[status(thm)],[c_0_302]) ).
cnf(c_0_308,plain,
op(e3,e2) = e0,
inference(sr,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_309,plain,
( op(e0,e4) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_236]),c_0_82]) ).
cnf(c_0_310,plain,
op(e0,e2) = e3,
inference(sr,[status(thm)],[c_0_293,c_0_304]) ).
cnf(c_0_311,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| op(e2,e0) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_305]),c_0_136]),c_0_21]),c_0_306]) ).
cnf(c_0_312,plain,
( op(e2,e0) != e4
| op(e0,op(e2,e0)) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_308]),c_0_308]),c_0_308]),c_0_308])]) ).
cnf(c_0_313,plain,
op(e0,e4) = e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_310]),c_0_89]) ).
cnf(c_0_314,plain,
( op(e0,e3) = e1
| op(e4,op(e3,e0)) = e3 ),
inference(spm,[status(thm)],[c_0_254,c_0_131]) ).
cnf(c_0_315,plain,
( op(e3,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_25,c_0_311]) ).
cnf(c_0_316,plain,
op(e1,e0) = e4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_271]),c_0_313])]) ).
cnf(c_0_317,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_318,plain,
op(e4,op(e3,e0)) = e3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_236]),c_0_82]) ).
cnf(c_0_319,plain,
op(e3,e0) = e2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_316]),c_0_316]),c_0_223]),c_0_42]) ).
cnf(c_0_320,plain,
op(e4,e2) != e3,
inference(rw,[status(thm)],[c_0_317,c_0_310]) ).
cnf(c_0_321,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_319]),c_0_320]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG193+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.41 % Computer : n002.cluster.edu
% 0.16/5.41 % Model : x86_64 x86_64
% 0.16/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.41 % Memory : 8046.5625MB
% 0.16/5.41 % OS : Linux 6.8.0-71-generic
% 0.16/5.41 % CPULimit : 300
% 0.16/5.41 % WCLimit : 300
% 0.16/5.41 % DateTime : Mon Sep 21 13:03:52 UTC 2026
% 0.16/5.41 % CPUTime :
% 0.16/5.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.49 Running first-order theorem proving
% 0.16/5.49 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
% 3.46/6.29 % Version: 3.5.1
% 3.46/6.29 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.46/6.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.46/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.46/6.29 % Starting new_bool_3 with 300s (1) cores
% 3.46/6.29 % Starting new_bool_1 with 300s (1) cores
% 3.46/6.29 % Starting sh5l with 300s (1) cores
% 3.46/6.29 % new_bool_3 with pid 3338835 completed with status 9
% 3.46/6.29 % new_bool_1 with pid 3338836 completed with status 9
% 3.46/6.29 % sh5l with pid 3338837 completed with status 9
% 3.46/6.29 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3338834 completed with status 0
% 3.46/6.29 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.46/6.29 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.46/6.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.46/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.46/6.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.46/6.29 % No SInE strategy applied
% 3.46/6.29 % Search class: FGHPF-FSLM22-MFFFFFNN
% 3.46/6.29 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.46/6.29 % Starting SubtermCWHack with 136s (1) cores
% 3.46/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.46/6.29 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.46/6.29 % Starting new_bool_3 with 136s (1) cores
% 3.46/6.29 % Starting new_bool_1 with 136s (1) cores
% 3.46/6.29 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3338845 completed with status 0
% 3.46/6.29 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 3.46/6.29 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.46/6.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.46/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.46/6.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.46/6.29 % No SInE strategy applied
% 3.46/6.29 % Search class: FGHPF-FSLM22-MFFFFFNN
% 3.46/6.29 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.46/6.29 % Starting SubtermCWHack with 136s (1) cores
% 3.46/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.46/6.29 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.46/6.29 % Preprocessing time : 0.007 s
% 3.46/6.29 % Presaturation interreduction done
% 3.46/6.29
% 3.46/6.29 % Proof found!
% 3.46/6.29 % SZS status Unsatisfiable
% 3.46/6.29 % SZS output start CNFRefutation
% See solution above
% 3.46/6.29 % Parsed axioms : 126
% 3.46/6.29 % Removed by relevancy pruning/SinE : 0
% 3.46/6.29 % Initial clauses : 355
% 3.46/6.29 % Removed in clause preprocessing : 0
% 3.46/6.29 % Initial clauses in saturation : 355
% 3.46/6.29 % Processed clauses : 6150
% 3.46/6.29 % ...of these trivial : 61
% 3.46/6.29 % ...subsumed : 3399
% 3.46/6.29 % ...remaining for further processing : 2690
% 3.46/6.29 % Other redundant clauses eliminated : 0
% 3.46/6.29 % Clauses deleted for lack of memory : 0
% 3.46/6.29 % Backward-subsumed : 1308
% 3.46/6.29 % Backward-rewritten : 790
% 3.46/6.29 % Generated clauses : 28694
% 3.46/6.29 % ...of the previous two non-redundant : 28390
% 3.46/6.29 % ...aggressively subsumed : 0
% 3.46/6.29 % Contextual simplify-reflections : 30
% 3.46/6.29 % Paramodulations : 28377
% 3.46/6.29 % Factorizations : 187
% 3.46/6.29 % NegExts : 0
% 3.46/6.29 % Equation resolutions : 0
% 3.46/6.29 % Disequality decompositions : 0
% 3.46/6.29 % Total rewrite steps : 2490
% 3.46/6.29 % ...of those cached : 2453
% 3.46/6.29 % Propositional unsat checks : 0
% 3.46/6.29 % Propositional check models : 0
% 3.46/6.29 % Propositional check unsatisfiable : 0
% 3.46/6.29 % Propositional clauses : 0
% 3.46/6.29 % Propositional clauses after purity: 0
% 3.46/6.29 % Propositional unsat core size : 0
% 3.46/6.29 % Propositional preprocessing time : 0.000
% 3.46/6.29 % Propositional encoding time : 0.000
% 3.46/6.29 % Propositional solver time : 0.000
% 3.46/6.29 % Success case prop preproc time : 0.000
% 3.46/6.29 % Success case prop encoding time : 0.000
% 3.46/6.29 % Success case prop solver time : 0.000
% 3.46/6.29 % Current number of processed clauses : 107
% 3.46/6.29 % Positive orientable unit clauses : 34
% 3.46/6.29 % Positive unorientable unit clauses: 0
% 3.46/6.29 % Negative unit clauses : 52
% 3.46/6.29 % Non-unit-clauses : 21
% 3.46/6.29 % Current number of unprocessed clauses: 21852
% 3.46/6.29 % ...number of literals in the above : 136093
% 3.46/6.29 % Current number of archived formulas : 0
% 3.46/6.29 % Current number of archived clauses : 2583
% 3.46/6.29 % Clause-clause subsumption calls (NU) : 75458
% 3.46/6.29 % Rec. Clause-clause subsumption calls : 11940
% 3.46/6.29 % Non-unit clause-clause subsumptions : 2038
% 3.46/6.29 % Unit Clause-clause subsumption calls : 5545
% 3.46/6.29 % Rewrite failures with RHS unbound : 0
% 3.46/6.29 % BW rewrite match attempts : 18
% 3.46/6.29 % BW rewrite match successes : 18
% 3.46/6.29 % Condensation attempts : 0
% 3.46/6.29 % Condensation successes : 0
% 3.46/6.29 % Termbank termtop insertions : 396156
% 3.46/6.29 % Search garbage collected termcells : 1057
% 3.46/6.29
% 3.46/6.29 % -------------------------------------------------
% 3.46/6.29 % User time : 0.696 s
% 3.46/6.29 % System time : 0.031 s
% 3.46/6.29 % Total time : 0.727 s
% 3.46/6.29 % Maximum resident set size: 4092 pages
% 3.46/6.29
% 3.46/6.29 % -------------------------------------------------
% 3.46/6.29 % User time : 3.472 s
% 3.46/6.29 % System time : 0.182 s
% 3.46/6.29 % Total time : 3.654 s
% 3.46/6.29 % Maximum resident set size: 5120 pages
% 3.46/6.29 % E exiting
%------------------------------------------------------------------------------