%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ALG170+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 : n014.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 12:01:24 PM UTC 2026
% Result : Theorem 0.71s 0.53s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 11
% Syntax : Number of formulae : 345 ( 128 unt; 0 def)
% Number of atoms : 1988 (1729 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 2646 (1003 ~; 935 |; 700 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 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(ax6,axiom,
( e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e1 = op(e4,e4)
& e0 = op(e4,op(e4,e4)) ),
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(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(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(co1,conjecture,
~ ( ( ( op(e4,e4) != e4
& op(e4,e3) != e3
& op(e4,e2) != e2
& op(e4,e1) != e1
& op(e4,e0) != e0 )
| ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) )
& ( ( op(e4,e4) != e4
& op(e3,e4) != e3
& op(e2,e4) != e2
& op(e1,e4) != e1
& op(e0,e4) != e0 )
| ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(c_0_7,plain,
e0 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_8,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_9,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]) ).
fof(c_0_10,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]) ).
cnf(c_0_11,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_12,plain,
op(e4,e1) = e0,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
fof(c_0_13,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_9]) ).
cnf(c_0_14,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_15,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_10]) ).
cnf(c_0_16,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_17,plain,
op(e0,e0) = e3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_8]),c_0_12]),c_0_8]),c_0_12]) ).
cnf(c_0_18,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,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_20,plain,
op(e0,e1) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_8]),c_0_12]),c_0_8]) ).
cnf(c_0_21,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,plain,
op(e3,e3) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).
cnf(c_0_25,plain,
op(e4,e0) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_27,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_28,plain,
op(e0,e4) != e1,
inference(rw,[status(thm)],[c_0_18,c_0_8]) ).
cnf(c_0_29,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_30,plain,
op(e0,e0) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,plain,
( op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_17]),c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_32,plain,
op(e0,e3) != e0,
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_34,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_35,plain,
op(e4,e0) != e1,
inference(rw,[status(thm)],[c_0_26,c_0_8]) ).
cnf(c_0_36,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_37,plain,
( op(e0,e4) = e0
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,plain,
op(e0,e4) != e2,
inference(rw,[status(thm)],[c_0_29,c_0_20]) ).
cnf(c_0_39,plain,
op(e0,e4) != e3,
inference(rw,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_40,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_41,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_42,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_43,plain,
( op(e0,e4) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_44,plain,
( op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_45,plain,
op(e4,e0) != e3,
inference(rw,[status(thm)],[c_0_36,c_0_17]) ).
cnf(c_0_46,plain,
op(e0,e3) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_47,plain,
( op(e0,e4) = e4
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_48,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_49,plain,
op(e0,e3) != e2,
inference(rw,[status(thm)],[c_0_40,c_0_20]) ).
cnf(c_0_50,plain,
op(e0,e3) != e3,
inference(rw,[status(thm)],[c_0_41,c_0_17]) ).
cnf(c_0_51,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_52,plain,
( op(e0,e2) = e0
| op(op(e4,e0),e0) = e0 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_53,plain,
( op(e4,e0) = e4
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,plain,
( op(e0,e3) != e4
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_32]) ).
cnf(c_0_56,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_57,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_58,plain,
( op(e0,e2) = e0
| op(e0,op(e4,e0)) = e4 ),
inference(spm,[status(thm)],[c_0_51,c_0_43]) ).
cnf(c_0_59,plain,
( op(e0,e2) = e0
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_34]) ).
cnf(c_0_60,plain,
op(e0,e2) != op(e0,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_61,plain,
( op(e0,e4) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_63,plain,
op(e1,e1) = e4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_8]),c_0_8]) ).
cnf(c_0_64,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_65,plain,
( op(e0,e2) != e4
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_57,c_0_55]) ).
cnf(c_0_66,plain,
( op(e0,e2) = e4
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,plain,
( op(e0,e2) != e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_69,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_70,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_71,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_72,plain,
op(e1,e3) != e4,
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_73,plain,
op(e1,e3) != e0,
inference(rw,[status(thm)],[c_0_64,c_0_24]) ).
cnf(c_0_74,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_75,plain,
op(e0,e3) = e1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_76,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_77,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_78,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_79,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_80,negated_conjecture,
~ ~ ( ( ( op(e4,e4) != e4
& op(e4,e3) != e3
& op(e4,e2) != e2
& op(e4,e1) != e1
& op(e4,e0) != e0 )
| ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) )
& ( ( op(e4,e4) != e4
& op(e3,e4) != e3
& op(e2,e4) != e2
& op(e1,e4) != e1
& op(e0,e4) != e0 )
| ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_81,plain,
( epred2_0
<=> ( ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition) ).
fof(c_0_82,plain,
( epred4_0
<=> ( ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_83,plain,
op(op(e1,e3),op(e3,e1)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_84,plain,
( op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_20]),c_0_63]),c_0_12]),c_0_69]),c_0_70]),c_0_21]) ).
cnf(c_0_85,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_86,plain,
op(e1,e3) != e1,
inference(rw,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_87,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_88,plain,
( op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_20]),c_0_63]),c_0_12]),c_0_77]),c_0_78]),c_0_79]) ).
cnf(c_0_89,plain,
( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_90,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_91,negated_conjecture,
~ ~ ( ( ( op(e4,e4) != e4
& op(e4,e3) != e3
& op(e4,e2) != e2
& op(e4,e1) != e1
& op(e4,e0) != e0 )
| epred4_0 )
& ( ( op(e4,e4) != e4
& op(e3,e4) != e3
& op(e2,e4) != e2
& op(e1,e4) != e1
& op(e0,e4) != e0 )
| epred2_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_80]),c_0_81]),c_0_82]) ).
cnf(c_0_92,plain,
( op(e2,e1) = e3
| op(op(e1,e3),e3) = e3 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,plain,
( op(e2,e1) = e1
| op(e1,op(e1,e3)) = e1 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,plain,
( op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_17]),c_0_21]),c_0_34]) ).
cnf(c_0_96,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_90,c_0_24]) ).
fof(c_0_97,negated_conjecture,
( ( epred4_0
| op(e4,e4) != e4 )
& ( epred4_0
| op(e4,e3) != e3 )
& ( epred4_0
| op(e4,e2) != e2 )
& ( epred4_0
| op(e4,e1) != e1 )
& ( epred4_0
| op(e4,e0) != e0 )
& ( epred2_0
| op(e4,e4) != e4 )
& ( epred2_0
| op(e3,e4) != e3 )
& ( epred2_0
| op(e2,e4) != e2 )
& ( epred2_0
| op(e1,e4) != e1 )
& ( epred2_0
| op(e0,e4) != e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])]) ).
cnf(c_0_98,plain,
( op(e2,e1) = e3
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_24]),c_0_21]) ).
cnf(c_0_99,plain,
( op(e2,e1) = e1
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_93]),c_0_86]) ).
cnf(c_0_100,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_101,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_102,plain,
( op(e2,e0) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( op(e0,e4) != e0
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_104,plain,
op(e1,e3) = e2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_105,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_106,plain,
( op(e1,e0) = e0
| op(op(e0,e2),e0) = e2 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( epred2_0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_103,c_0_43]) ).
cnf(c_0_108,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_109,plain,
( op(e2,e1) = e3
| op(e3,op(e1,e3)) = e1 ),
inference(spm,[status(thm)],[c_0_87,c_0_84]) ).
cnf(c_0_110,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_111,plain,
( op(e1,e2) = e1
| op(e2,e1) = e1 ),
inference(rw,[status(thm)],[c_0_94,c_0_104]) ).
cnf(c_0_112,plain,
op(e2,op(e1,e0)) = e1,
inference(rw,[status(thm)],[c_0_105,c_0_20]) ).
cnf(c_0_113,negated_conjecture,
( epred2_0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_17]),c_0_69]) ).
cnf(c_0_114,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_8]),c_0_100]) ).
cnf(c_0_115,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_116,plain,
( op(e3,e2) = e1
| op(e2,e1) = e3 ),
inference(rw,[status(thm)],[c_0_109,c_0_104]) ).
cnf(c_0_117,plain,
( op(e2,e0) != e1
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( epred2_0
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,plain,
op(e3,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_120,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_121,negated_conjecture,
( op(e3,e4) != e3
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_122,plain,
( op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3 ),
inference(sr,[status(thm)],[c_0_114,c_0_39]) ).
cnf(c_0_123,plain,
( op(e1,e2) != e1
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_124,negated_conjecture,
( epred2_0
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_126,plain,
op(e3,e1) != e0,
inference(rw,[status(thm)],[c_0_119,c_0_12]) ).
cnf(c_0_127,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_128,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_129,plain,
( op(e4,e0) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_12]),c_0_8]),c_0_21]),c_0_100]) ).
cnf(c_0_130,plain,
( op(e4,e0) = e2
| op(op(e0,e4),e4) = e4 ),
inference(spm,[status(thm)],[c_0_51,c_0_53]) ).
cnf(c_0_131,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_132,plain,
op(e2,e1) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_133,negated_conjecture,
( epred2_0
| op(e2,e4) = e3
| op(e1,e4) = e3 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_134,negated_conjecture,
( epred2_0
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_135,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_136,plain,
op(e3,e1) != e4,
inference(rw,[status(thm)],[c_0_127,c_0_63]) ).
cnf(c_0_137,plain,
op(e3,e1) != e2,
inference(rw,[status(thm)],[c_0_128,c_0_20]) ).
fof(c_0_138,plain,
( epred3_0
<=> ( ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( op(e4,e3) != e3
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_140,plain,
( op(e4,e3) = e3
| op(e4,e2) = e3 ),
inference(sr,[status(thm)],[c_0_129,c_0_45]) ).
cnf(c_0_141,plain,
( op(e0,e4) = e0
| op(e4,op(e4,e0)) = e4 ),
inference(spm,[status(thm)],[c_0_51,c_0_47]) ).
cnf(c_0_142,plain,
( op(e4,e0) = e2
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_47]),c_0_8]),c_0_78]) ).
cnf(c_0_143,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_144,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_145,plain,
op(op(e1,e4),e0) = e4,
inference(rw,[status(thm)],[c_0_131,c_0_12]) ).
cnf(c_0_146,negated_conjecture,
( epred2_0
| op(e1,e4) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).
cnf(c_0_147,plain,
( op(e3,e1) = e3
| op(e3,e1) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_135,c_0_136]),c_0_137]) ).
fof(c_0_148,plain,
( epred4_0
=> ( ( op(e3,e4) != e4
& op(e3,e3) != e3
& op(e3,e2) != e2
& op(e3,e1) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e3) != e3
& op(e2,e2) != e2
& op(e2,e1) != e1
& op(e2,e0) != e0 )
| epred3_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_82]),c_0_138]) ).
cnf(c_0_149,negated_conjecture,
( epred4_0
| op(e4,e2) = e3 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_150,plain,
( op(e4,e2) = e4
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_151,plain,
( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_152,plain,
op(e2,e1) != e2,
inference(rw,[status(thm)],[c_0_143,c_0_20]) ).
cnf(c_0_153,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_154,plain,
( op(e3,e0) != e4
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[c_0_144,c_0_53]) ).
cnf(c_0_155,negated_conjecture,
( epred2_0
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_156,plain,
( op(e3,e1) = e1
| op(e3,op(e1,e3)) = e1 ),
inference(spm,[status(thm)],[c_0_87,c_0_147]) ).
cnf(c_0_157,plain,
( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_158,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_159,plain,
op(e1,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_160,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_161,plain,
( epred1_0
<=> ( ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
introduced(definition) ).
fof(c_0_162,plain,
( ( ~ epred4_0
| epred3_0
| op(e2,e4) != e4
| op(e3,e4) != e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e4) != e4
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e4) != e4
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e4) != e4
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e4) != e4
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e3,e4) != e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e3) != e3
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e3,e4) != e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e2) != e2
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e3,e4) != e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e1) != e1
| op(e3,e0) != e0 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e3,e4) != e4 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e3,e3) != e3 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e3,e2) != e2 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e3,e1) != e1 )
& ( ~ epred4_0
| epred3_0
| op(e2,e0) != e0
| op(e3,e0) != e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])])]) ).
cnf(c_0_163,negated_conjecture,
( epred4_0
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_70]) ).
cnf(c_0_164,plain,
( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_165,plain,
op(e2,e3) != e2,
inference(rw,[status(thm)],[c_0_153,c_0_104]) ).
cnf(c_0_166,plain,
op(e2,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_167,negated_conjecture,
( epred2_0
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_168,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1 ),
inference(rw,[status(thm)],[c_0_156,c_0_104]) ).
cnf(c_0_169,plain,
( op(e4,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_24]),c_0_21]),c_0_50]) ).
cnf(c_0_170,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_171,plain,
op(e0,e2) != e2,
inference(rw,[status(thm)],[c_0_158,c_0_20]) ).
cnf(c_0_172,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_173,plain,
( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_174,plain,
op(e1,e4) != e1,
inference(rw,[status(thm)],[c_0_159,c_0_8]) ).
cnf(c_0_175,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_176,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_177,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_178,plain,
op(e3,e0) != e3,
inference(rw,[status(thm)],[c_0_160,c_0_17]) ).
fof(c_0_179,plain,
( epred2_0
=> ( ( op(e4,e3) != e4
& op(e3,e3) != e3
& op(e2,e3) != e2
& op(e1,e3) != e1
& op(e0,e3) != e0 )
| ( op(e4,e2) != e4
& op(e3,e2) != e3
& op(e2,e2) != e2
& op(e1,e2) != e1
& op(e0,e2) != e0 )
| epred1_0 ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_81]),c_0_161]) ).
cnf(c_0_180,plain,
( ~ epred4_0
| op(e2,e2) != e2
| op(e3,e1) != e1
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_181,negated_conjecture,
( epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_163]) ).
cnf(c_0_182,negated_conjecture,
( op(e2,e4) != e2
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_183,plain,
( op(e2,e4) = e2
| op(e2,e2) = e2
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_184,negated_conjecture,
( op(e2,e0) != e2
| epred2_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_185,plain,
( op(e1,e2) != e1
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_115,c_0_168]) ).
cnf(c_0_186,plain,
( op(e4,e3) = e3
| op(e2,e3) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_104]),c_0_69]) ).
cnf(c_0_187,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2 ),
inference(sr,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_188,plain,
op(e1,e2) != e2,
inference(rw,[status(thm)],[c_0_172,c_0_104]) ).
cnf(c_0_189,plain,
op(e3,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_190,plain,
( op(e1,e4) = e0
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(sr,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_191,plain,
op(e1,e4) != e4,
inference(rw,[status(thm)],[c_0_175,c_0_63]) ).
cnf(c_0_192,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_193,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_194,plain,
op(e1,op(e3,e0)) = e3,
inference(rw,[status(thm)],[c_0_176,c_0_75]) ).
cnf(c_0_195,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_177,c_0_178]),c_0_96]) ).
cnf(c_0_196,plain,
op(e2,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_197,plain,
( ( ~ epred2_0
| epred1_0
| op(e4,e2) != e4
| op(e4,e3) != e4 )
& ( ~ epred2_0
| epred1_0
| op(e4,e2) != e4
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e4,e2) != e4
| op(e2,e3) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e4,e2) != e4
| op(e1,e3) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e4,e2) != e4
| op(e0,e3) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e3,e2) != e3
| op(e4,e3) != e4 )
& ( ~ epred2_0
| epred1_0
| op(e3,e2) != e3
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e3,e2) != e3
| op(e2,e3) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e3,e2) != e3
| op(e1,e3) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e3,e2) != e3
| op(e0,e3) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e4,e3) != e4 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e2,e3) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e1,e3) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e2,e2) != e2
| op(e0,e3) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e1,e2) != e1
| op(e4,e3) != e4 )
& ( ~ epred2_0
| epred1_0
| op(e1,e2) != e1
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e1,e2) != e1
| op(e2,e3) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e1,e2) != e1
| op(e1,e3) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e1,e2) != e1
| op(e0,e3) != e0 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) != e0
| op(e4,e3) != e4 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) != e0
| op(e3,e3) != e3 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) != e0
| op(e2,e3) != e2 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) != e0
| op(e1,e3) != e1 )
& ( ~ epred2_0
| epred1_0
| op(e0,e2) != e0
| op(e0,e3) != e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_179])])]) ).
cnf(c_0_198,plain,
( op(e3,e1) != e1
| op(e2,e2) != e2
| epred2_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_199,negated_conjecture,
( epred2_0
| op(e2,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_200,negated_conjecture,
( epred2_0
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_185,c_0_124]) ).
cnf(c_0_201,plain,
op(op(e3,e2),op(e2,e3)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_202,negated_conjecture,
( epred4_0
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_139,c_0_186]) ).
cnf(c_0_203,negated_conjecture,
( op(e4,e2) != e2
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_204,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2 ),
inference(sr,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_205,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_206,plain,
op(e3,e4) != e1,
inference(rw,[status(thm)],[c_0_189,c_0_8]) ).
cnf(c_0_207,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_208,plain,
( op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_209,plain,
op(e1,e4) != e2,
inference(rw,[status(thm)],[c_0_192,c_0_104]) ).
cnf(c_0_210,plain,
op(op(e3,e0),e1) = e0,
inference(rw,[status(thm)],[c_0_193,c_0_75]) ).
cnf(c_0_211,plain,
( op(e1,e4) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_212,plain,
op(e2,e1) != e0,
inference(rw,[status(thm)],[c_0_196,c_0_12]) ).
cnf(c_0_213,plain,
( ~ epred2_0
| op(e2,e2) != e2
| op(e4,e3) != e4
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_214,plain,
( epred2_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).
cnf(c_0_215,negated_conjecture,
( epred4_0
| op(op(e3,e2),e3) = e2 ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_216,negated_conjecture,
( epred4_0
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_217,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_218,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_219,plain,
( op(e3,e4) = e0
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(sr,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_220,plain,
op(e3,e4) != e0,
inference(rw,[status(thm)],[c_0_207,c_0_24]) ).
cnf(c_0_221,plain,
( op(e1,e4) = e3
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_222,plain,
( op(e3,e0) = e1
| op(e1,e4) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]) ).
cnf(c_0_223,plain,
( op(e4,e3) != e4
| op(e2,e2) != e2
| epred1_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_224,negated_conjecture,
( epred4_0
| op(e2,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_165]) ).
cnf(c_0_225,plain,
( op(e4,e3) = e4
| op(e2,e3) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_24]),c_0_218]),c_0_72]) ).
cnf(c_0_226,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_227,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2 ),
inference(sr,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_228,plain,
( op(e3,e0) = e4
| op(e1,e4) = e0 ),
inference(spm,[status(thm)],[c_0_145,c_0_221]) ).
cnf(c_0_229,plain,
op(e1,e4) = e3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_222]),c_0_63]),c_0_70]) ).
cnf(c_0_230,plain,
op(e1,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_231,negated_conjecture,
( op(e4,e3) != e4
| epred1_0
| epred3_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_232,plain,
( op(e4,e3) = e4
| op(e2,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_75]),c_0_78]) ).
cnf(c_0_233,plain,
( op(e3,e0) != e4
| op(e3,e4) = e3
| op(e3,e4) = e2 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_234,plain,
op(e3,e0) = e4,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229]),c_0_21]) ).
cnf(c_0_235,plain,
op(e3,e4) != e3,
inference(rw,[status(thm)],[c_0_230,c_0_229]) ).
cnf(c_0_236,negated_conjecture,
( epred1_0
| epred3_0
| epred4_0
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_237,plain,
op(e4,e0) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_238,plain,
( op(e4,e0) = e2
| op(e1,e4) = e0 ),
inference(spm,[status(thm)],[c_0_154,c_0_228]) ).
cnf(c_0_239,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_240,plain,
op(e3,e4) = e2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234])]),c_0_235]) ).
cnf(c_0_241,plain,
( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_242,negated_conjecture,
( epred1_0
| epred3_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_236]),c_0_70]) ).
cnf(c_0_243,plain,
( op(e4,e0) != e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_237,c_0_204]) ).
cnf(c_0_244,plain,
op(e4,e0) = e2,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_229]),c_0_21]) ).
cnf(c_0_245,plain,
op(e3,e2) != e2,
inference(rw,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_246,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_8]),c_0_78]) ).
cnf(c_0_247,plain,
( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_248,plain,
( op(e3,e1) != e1
| op(e2,e2) != e2
| epred1_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_242]) ).
cnf(c_0_249,plain,
op(e2,e2) = e2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244])]),c_0_245]) ).
cnf(c_0_250,plain,
( op(e3,e1) = e1
| op(op(e1,e3),e3) = e3 ),
inference(spm,[status(thm)],[c_0_83,c_0_147]) ).
cnf(c_0_251,plain,
( op(e3,e4) = e4
| op(e2,e4) = e4
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[c_0_246,c_0_191]) ).
cnf(c_0_252,plain,
op(e3,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_253,plain,
( op(e4,e2) = e3
| op(e2,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_232]),c_0_70]) ).
cnf(c_0_254,plain,
( op(e3,e4) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_24]),c_0_21]),c_0_178]) ).
fof(c_0_255,plain,
( epred3_0
=> ( ( op(e1,e4) != e4
& op(e1,e3) != e3
& op(e1,e2) != e2
& op(e1,e1) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e3) != e3
& op(e0,e2) != e2
& op(e0,e1) != e1
& op(e0,e0) != e0 ) ) ),
inference(split_equiv,[status(thm)],[c_0_138]) ).
cnf(c_0_256,plain,
( op(e3,e1) != e1
| epred1_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_249])]) ).
cnf(c_0_257,plain,
( op(e2,e3) = e3
| op(e3,e1) = e1 ),
inference(rw,[status(thm)],[c_0_250,c_0_104]) ).
cnf(c_0_258,plain,
( op(e4,e3) != e4
| epred1_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_249])]) ).
cnf(c_0_259,plain,
( op(e3,e0) != e4
| op(e2,e4) = e4
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_226,c_0_251]) ).
cnf(c_0_260,plain,
( op(e3,e2) != e3
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_261,negated_conjecture,
( epred2_0
| op(e3,e2) = e3
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_121,c_0_254]) ).
fof(c_0_262,plain,
( ( ~ epred3_0
| op(e0,e4) != e4
| op(e1,e4) != e4 )
& ( ~ epred3_0
| op(e0,e4) != e4
| op(e1,e3) != e3 )
& ( ~ epred3_0
| op(e0,e4) != e4
| op(e1,e2) != e2 )
& ( ~ epred3_0
| op(e0,e4) != e4
| op(e1,e1) != e1 )
& ( ~ epred3_0
| op(e0,e4) != e4
| op(e1,e0) != e0 )
& ( ~ epred3_0
| op(e0,e3) != e3
| op(e1,e4) != e4 )
& ( ~ epred3_0
| op(e0,e3) != e3
| op(e1,e3) != e3 )
& ( ~ epred3_0
| op(e0,e3) != e3
| op(e1,e2) != e2 )
& ( ~ epred3_0
| op(e0,e3) != e3
| op(e1,e1) != e1 )
& ( ~ epred3_0
| op(e0,e3) != e3
| op(e1,e0) != e0 )
& ( ~ epred3_0
| op(e0,e2) != e2
| op(e1,e4) != e4 )
& ( ~ epred3_0
| op(e0,e2) != e2
| op(e1,e3) != e3 )
& ( ~ epred3_0
| op(e0,e2) != e2
| op(e1,e2) != e2 )
& ( ~ epred3_0
| op(e0,e2) != e2
| op(e1,e1) != e1 )
& ( ~ epred3_0
| op(e0,e2) != e2
| op(e1,e0) != e0 )
& ( ~ epred3_0
| op(e0,e1) != e1
| op(e1,e4) != e4 )
& ( ~ epred3_0
| op(e0,e1) != e1
| op(e1,e3) != e3 )
& ( ~ epred3_0
| op(e0,e1) != e1
| op(e1,e2) != e2 )
& ( ~ epred3_0
| op(e0,e1) != e1
| op(e1,e1) != e1 )
& ( ~ epred3_0
| op(e0,e1) != e1
| op(e1,e0) != e0 )
& ( ~ epred3_0
| op(e0,e0) != e0
| op(e1,e4) != e4 )
& ( ~ epred3_0
| op(e0,e0) != e0
| op(e1,e3) != e3 )
& ( ~ epred3_0
| op(e0,e0) != e0
| op(e1,e2) != e2 )
& ( ~ epred3_0
| op(e0,e0) != e0
| op(e1,e1) != e1 )
& ( ~ epred3_0
| op(e0,e0) != e0
| op(e1,e0) != e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_255])])]) ).
cnf(c_0_263,plain,
( epred1_0
| epred3_0
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_264,plain,
( epred1_0
| epred3_0
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[c_0_258,c_0_232]) ).
cnf(c_0_265,plain,
op(e2,e3) != op(e2,e4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_266,negated_conjecture,
( epred2_0
| op(e0,e4) = e4
| op(e2,e4) = e4 ),
inference(spm,[status(thm)],[c_0_259,c_0_155]) ).
cnf(c_0_267,negated_conjecture,
( epred2_0
| op(e2,e3) = e4
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_268,plain,
( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_269,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_270,plain,
( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_271,plain,
( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_272,plain,
( ~ epred3_0
| op(e0,e4) != e4
| op(e1,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_273,plain,
( epred1_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_70]) ).
cnf(c_0_274,negated_conjecture,
( op(e2,e3) != e4
| epred2_0
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_275,negated_conjecture,
( epred2_0
| op(e2,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_267]),c_0_100]) ).
cnf(c_0_276,plain,
( op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(sr,[status(thm)],[c_0_268,c_0_212]) ).
cnf(c_0_277,plain,
op(e2,e1) != e4,
inference(rw,[status(thm)],[c_0_269,c_0_63]) ).
cnf(c_0_278,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_63]),c_0_218]) ).
cnf(c_0_279,plain,
( op(e3,e4) = e2
| op(e3,e2) = e2
| op(e3,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_24]),c_0_22]),c_0_137]) ).
cnf(c_0_280,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_281,plain,
( op(e3,e0) != e2
| op(e1,e4) = e0 ),
inference(spm,[status(thm)],[c_0_144,c_0_238]) ).
cnf(c_0_282,plain,
( op(e1,e0) != e0
| op(e0,e4) != e4
| epred1_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_283,negated_conjecture,
( epred2_0
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_284,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_285,plain,
( op(e2,e1) = e3
| op(e2,e1) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_276,c_0_277]),c_0_152]) ).
cnf(c_0_286,plain,
( op(e1,e4) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[c_0_278,c_0_73]) ).
cnf(c_0_287,plain,
( op(e2,e4) = e4
| op(e0,e4) = e4
| op(e3,e2) = e2
| op(e3,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_279]),c_0_280]) ).
cnf(c_0_288,plain,
op(e3,e0) != e2,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_229]),c_0_21]) ).
cnf(c_0_289,plain,
( ~ epred2_0
| op(e4,e3) != e4
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_249])]) ).
cnf(c_0_290,negated_conjecture,
( epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_113]) ).
cnf(c_0_291,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_292,plain,
( op(e2,e1) = e1
| op(op(e1,e2),e3) = e2 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_293,plain,
( op(e1,e2) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_286]),c_0_17]),c_0_70]) ).
cnf(c_0_294,plain,
( op(e0,e4) = e4
| op(e2,e4) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_287,c_0_288]),c_0_245]) ).
cnf(c_0_295,plain,
( op(e4,e3) != e4
| epred1_0 ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_296,plain,
( op(e2,e1) != e1
| op(e2,e3) = e3 ),
inference(spm,[status(thm)],[c_0_291,c_0_257]) ).
cnf(c_0_297,plain,
( op(e2,e1) = e1
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_49]) ).
cnf(c_0_298,plain,
op(e2,e1) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_299,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_300,plain,
op(e2,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_301,plain,
( epred1_0
=> ( ( op(e4,e1) != e4
& op(e3,e1) != e3
& op(e2,e1) != e2
& op(e1,e1) != e1
& op(e0,e1) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e3
& op(e2,e0) != e2
& op(e1,e0) != e1
& op(e0,e0) != e0 ) ) ),
inference(split_equiv,[status(thm)],[c_0_161]) ).
cnf(c_0_302,plain,
( op(e2,e3) != e4
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_265,c_0_294]) ).
cnf(c_0_303,plain,
( epred1_0
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[c_0_295,c_0_232]) ).
cnf(c_0_304,plain,
( op(e2,e3) = e3
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_305,negated_conjecture,
( op(e2,e1) != e3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_298,c_0_202]) ).
cnf(c_0_306,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_17]),c_0_100]),c_0_35]) ).
cnf(c_0_307,plain,
( op(e2,e3) != e3
| op(e4,e2) = e3 ),
inference(spm,[status(thm)],[c_0_300,c_0_140]) ).
fof(c_0_308,plain,
( ( ~ epred1_0
| op(e4,e0) != e4
| op(e4,e1) != e4 )
& ( ~ epred1_0
| op(e4,e0) != e4
| op(e3,e1) != e3 )
& ( ~ epred1_0
| op(e4,e0) != e4
| op(e2,e1) != e2 )
& ( ~ epred1_0
| op(e4,e0) != e4
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e4,e0) != e4
| op(e0,e1) != e0 )
& ( ~ epred1_0
| op(e3,e0) != e3
| op(e4,e1) != e4 )
& ( ~ epred1_0
| op(e3,e0) != e3
| op(e3,e1) != e3 )
& ( ~ epred1_0
| op(e3,e0) != e3
| op(e2,e1) != e2 )
& ( ~ epred1_0
| op(e3,e0) != e3
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e3,e0) != e3
| op(e0,e1) != e0 )
& ( ~ epred1_0
| op(e2,e0) != e2
| op(e4,e1) != e4 )
& ( ~ epred1_0
| op(e2,e0) != e2
| op(e3,e1) != e3 )
& ( ~ epred1_0
| op(e2,e0) != e2
| op(e2,e1) != e2 )
& ( ~ epred1_0
| op(e2,e0) != e2
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e2,e0) != e2
| op(e0,e1) != e0 )
& ( ~ epred1_0
| op(e1,e0) != e1
| op(e4,e1) != e4 )
& ( ~ epred1_0
| op(e1,e0) != e1
| op(e3,e1) != e3 )
& ( ~ epred1_0
| op(e1,e0) != e1
| op(e2,e1) != e2 )
& ( ~ epred1_0
| op(e1,e0) != e1
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e1,e0) != e1
| op(e0,e1) != e0 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e4,e1) != e4 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e3,e1) != e3 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e2,e1) != e2 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e1,e1) != e1 )
& ( ~ epred1_0
| op(e0,e0) != e0
| op(e0,e1) != e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_301])])]) ).
cnf(c_0_309,plain,
( epred1_0
| op(e0,e4) = e4 ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_310,plain,
( epred1_0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_303]),c_0_70]) ).
cnf(c_0_311,negated_conjecture,
( epred4_0
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_305,c_0_285]) ).
cnf(c_0_312,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(op(e0,e3),e1) = e3 ),
inference(spm,[status(thm)],[c_0_176,c_0_306]) ).
cnf(c_0_313,plain,
( op(e1,e4) != e3
| op(e3,e2) = e3
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_230,c_0_254]) ).
cnf(c_0_314,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_315,plain,
( op(e4,e2) = e3
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_307,c_0_304]) ).
cnf(c_0_316,plain,
( ~ epred1_0
| op(e1,e0) != e1
| op(e3,e1) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_308]) ).
cnf(c_0_317,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_309]),c_0_310]) ).
cnf(c_0_318,negated_conjecture,
( op(e2,e0) != e1
| epred4_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_311]) ).
cnf(c_0_319,plain,
( op(e2,e0) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_75]),c_0_63]),c_0_70]) ).
cnf(c_0_320,negated_conjecture,
( op(e3,e2) != e3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_149]) ).
cnf(c_0_321,plain,
( op(e3,e1) = e3
| op(e3,e2) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_229])]) ).
cnf(c_0_322,plain,
( op(e1,e0) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_63]),c_0_78]),c_0_174]) ).
cnf(c_0_323,plain,
( op(e3,e2) != e3
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_252,c_0_315]) ).
cnf(c_0_324,plain,
( op(e3,e1) != e3
| op(e1,e0) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_317])]) ).
cnf(c_0_325,negated_conjecture,
( epred4_0
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_326,negated_conjecture,
( epred4_0
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_327,plain,
( op(e1,e0) = e1
| op(e1,e2) = e1 ),
inference(sr,[status(thm)],[c_0_322,c_0_86]) ).
cnf(c_0_328,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_319]),c_0_79]) ).
cnf(c_0_329,plain,
( op(e1,e0) = e0
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_323,c_0_321]) ).
cnf(c_0_330,plain,
( ~ epred4_0
| op(e3,e1) != e1
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_249])]) ).
cnf(c_0_331,negated_conjecture,
epred4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]) ).
cnf(c_0_332,plain,
( op(e3,e1) = e1
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_185,c_0_327]) ).
cnf(c_0_333,plain,
op(e1,e0) = e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_328]),c_0_329]) ).
cnf(c_0_334,plain,
( op(e2,e3) = e4
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_260,c_0_321]) ).
cnf(c_0_335,plain,
( op(e2,e1) = e3
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_123,c_0_327]) ).
cnf(c_0_336,plain,
( op(e3,e1) != e1
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_331])]) ).
cnf(c_0_337,plain,
op(e3,e1) = e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_333]),c_0_79]) ).
cnf(c_0_338,plain,
( op(e2,e1) != e3
| op(e2,e3) = e4 ),
inference(spm,[status(thm)],[c_0_291,c_0_334]) ).
cnf(c_0_339,plain,
op(e2,e1) = e3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_333]),c_0_79]) ).
cnf(c_0_340,plain,
( ~ epred3_0
| op(e0,e4) != e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_333])]) ).
cnf(c_0_341,plain,
epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_337])]) ).
cnf(c_0_342,plain,
op(e2,e3) = e4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_339])]) ).
cnf(c_0_343,plain,
op(e0,e4) != e4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_341])]) ).
cnf(c_0_344,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_342])]),c_0_343]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG170+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.36 % Computer : n014.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Mon Sep 21 13:00:36 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.71/0.53 % Version: 3.5.1
% 0.71/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.71/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.71/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.71/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.71/0.53 % Starting sh5l with 300s (1) cores
% 0.71/0.53 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4121966 completed with status 0
% 0.71/0.53 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.71/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.71/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.71/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.71/0.53 % No SInE strategy applied
% 0.71/0.53 % Search class: FGHSF-FSLM22-MFFFFFNN
% 0.71/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.71/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.71/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.71/0.53 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 136s (1) cores
% 0.71/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.71/0.53 % Starting new_bool_1 with 136s (1) cores
% 0.71/0.53 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4121974 completed with status 0
% 0.71/0.53 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.71/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.71/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.71/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.71/0.53 % No SInE strategy applied
% 0.71/0.53 % Search class: FGHSF-FSLM22-MFFFFFNN
% 0.71/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.71/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.71/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.71/0.53 % Preprocessing time : 0.002 s
% 0.71/0.53 % Presaturation interreduction done
% 0.71/0.53
% 0.71/0.53 % Proof found!
% 0.71/0.53 % SZS status Theorem
% 0.71/0.53 % SZS output start CNFRefutation
% See solution above
% 0.71/0.53 % Parsed axioms : 7
% 0.71/0.53 % Removed by relevancy pruning/SinE : 0
% 0.71/0.53 % Initial clauses : 324
% 0.71/0.53 % Removed in clause preprocessing : 0
% 0.71/0.53 % Initial clauses in saturation : 324
% 0.71/0.53 % Processed clauses : 4981
% 0.71/0.53 % ...of these trivial : 46
% 0.71/0.53 % ...subsumed : 3610
% 0.71/0.53 % ...remaining for further processing : 1325
% 0.71/0.53 % Other redundant clauses eliminated : 0
% 0.71/0.53 % Clauses deleted for lack of memory : 0
% 0.71/0.53 % Backward-subsumed : 303
% 0.71/0.53 % Backward-rewritten : 585
% 0.71/0.53 % Generated clauses : 8229
% 0.71/0.53 % ...of the previous two non-redundant : 8156
% 0.71/0.53 % ...aggressively subsumed : 0
% 0.71/0.53 % Contextual simplify-reflections : 14
% 0.71/0.53 % Paramodulations : 8024
% 0.71/0.53 % Factorizations : 68
% 0.71/0.53 % NegExts : 0
% 0.71/0.53 % Equation resolutions : 0
% 0.71/0.53 % Disequality decompositions : 0
% 0.71/0.53 % Total rewrite steps : 1864
% 0.71/0.53 % ...of those cached : 1834
% 0.71/0.53 % Propositional unsat checks : 0
% 0.71/0.53 % Propositional check models : 0
% 0.71/0.53 % Propositional check unsatisfiable : 0
% 0.71/0.53 % Propositional clauses : 0
% 0.71/0.53 % Propositional clauses after purity: 0
% 0.71/0.53 % Propositional unsat core size : 0
% 0.71/0.53 % Propositional preprocessing time : 0.000
% 0.71/0.53 % Propositional encoding time : 0.000
% 0.71/0.53 % Propositional solver time : 0.000
% 0.71/0.53 % Success case prop preproc time : 0.000
% 0.71/0.53 % Success case prop encoding time : 0.000
% 0.71/0.53 % Success case prop solver time : 0.000
% 0.71/0.53 % Current number of processed clauses : 72
% 0.71/0.53 % Positive orientable unit clauses : 30
% 0.71/0.53 % Positive unorientable unit clauses: 0
% 0.71/0.53 % Negative unit clauses : 32
% 0.71/0.53 % Non-unit-clauses : 10
% 0.71/0.53 % Current number of unprocessed clauses: 2690
% 0.71/0.53 % ...number of literals in the above : 9698
% 0.71/0.53 % Current number of archived formulas : 0
% 0.71/0.53 % Current number of archived clauses : 1253
% 0.71/0.53 % Clause-clause subsumption calls (NU) : 9482
% 0.71/0.53 % Rec. Clause-clause subsumption calls : 4360
% 0.71/0.53 % Non-unit clause-clause subsumptions : 1367
% 0.71/0.53 % Unit Clause-clause subsumption calls : 1718
% 0.71/0.53 % Rewrite failures with RHS unbound : 0
% 0.71/0.53 % BW rewrite match attempts : 27
% 0.71/0.53 % BW rewrite match successes : 27
% 0.71/0.53 % Condensation attempts : 0
% 0.71/0.53 % Condensation successes : 0
% 0.71/0.53 % Termbank termtop insertions : 80536
% 0.71/0.53 % Search garbage collected termcells : 991
% 0.71/0.53
% 0.71/0.53 % -------------------------------------------------
% 0.71/0.53 % User time : 0.104 s
% 0.71/0.53 % System time : 0.008 s
% 0.71/0.53 % Total time : 0.112 s
% 0.71/0.53 % Maximum resident set size: 3944 pages
% 0.71/0.53
% 0.71/0.53 % -------------------------------------------------
% 0.71/0.53 % User time : 0.451 s
% 0.71/0.53 % System time : 0.028 s
% 0.71/0.53 % Total time : 0.479 s
% 0.71/0.53 % Maximum resident set size: 4608 pages
% 0.71/0.53 % E exiting
%------------------------------------------------------------------------------