%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG149+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 12:53:36 PM UTC 2026
% Result : Unsatisfiable 0.59s 1.90s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of formulae : 634 ( 117 unt; 4 def)
% Number of atoms : 2719 (2529 equ)
% Maximal formula atoms : 132 ( 4 avg)
% Number of connectives : 3007 ( 922 ~;1751 |; 334 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( 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(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = 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(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,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',ax3) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( ( ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e3) = e3
| op(e2,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e3) = e1
| op(e2,e1) != e3 )
& ( op(e2,e3) = e0
| op(e2,e0) != e3 )
& ( op(e1,e3) = e3
| op(e1,e3) != e3 )
& ( op(e1,e3) = e2
| op(e1,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e3) = e0
| op(e1,e0) != e3 )
& ( op(e0,e3) = e3
| op(e0,e3) != e3 )
& ( op(e0,e3) = e2
| op(e0,e2) != e3 )
& ( op(e0,e3) = e1
| op(e0,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) )
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) )
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) )
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) )
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e1 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f9,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),e0)
& e2 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f10,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(e0,e0),e0)
& e3 = op(op(op(e0,e0),e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(op(op(e1,e1),e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f22,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(op(op(e2,e2),e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f27,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f28,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f29,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(op(op(e3,e3),e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f30,plain,
( op(e0,e0) != e3
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f31,plain,
( op(e0,e0) != e2
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f32,plain,
( op(e0,e0) != e3
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f33,plain,
( op(e0,e0) != e1
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
( op(e0,e0) != e2
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
( op(e0,e0) != e1
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f36,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f37,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f38,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f39,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f40,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f41,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f42,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f43,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f44,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f45,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f46,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f47,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f48,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f49,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f50,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f26]) ).
fof(f51,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f27]) ).
fof(f52,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f28]) ).
fof(f53,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(ennf_transformation,[],[f29]) ).
fof(f59,plain,
( ~ sP3
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f60,plain,
( ~ sP2
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f61,plain,
( ~ sP1
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f63,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f65,plain,
( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f73,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f76,plain,
( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f77,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f78,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f79,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f102,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f110,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f111,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f147,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f158,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f162,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f164,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
( ~ sP3
| e3 = op(e3,e0)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f59]) ).
fof(f166,plain,
( ~ sP3
| e2 = op(e3,e0)
| e0 != op(e3,e2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f167,plain,
( ~ sP3
| e1 = op(e3,e0)
| e0 != op(e3,e1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f169,plain,
( ~ sP3
| e3 = op(e2,e0)
| e0 != op(e2,e3) ),
inference(cnf_transformation,[],[f59]) ).
fof(f170,plain,
( ~ sP3
| e2 = op(e2,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f171,plain,
( ~ sP3
| e1 = op(e2,e0)
| e0 != op(e2,e1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f173,plain,
( ~ sP3
| e3 = op(e1,e0)
| e0 != op(e1,e3) ),
inference(cnf_transformation,[],[f59]) ).
fof(f174,plain,
( ~ sP3
| e2 = op(e1,e0)
| e0 != op(e1,e2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f175,plain,
( ~ sP3
| e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f177,plain,
( ~ sP3
| op(e0,e0) = e3
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f59]) ).
fof(f178,plain,
( ~ sP3
| op(e0,e0) = e2
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f179,plain,
( ~ sP3
| op(e0,e0) = e1
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f181,plain,
( ~ sP2
| e3 = op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f60]) ).
fof(f182,plain,
( ~ sP2
| e2 = op(e3,e1)
| e1 != op(e3,e2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f184,plain,
( ~ sP2
| e0 = op(e3,e1)
| e1 != op(e3,e0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f185,plain,
( ~ sP2
| e3 = op(e2,e1)
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f60]) ).
fof(f186,plain,
( ~ sP2
| e2 = op(e2,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f188,plain,
( ~ sP2
| e0 = op(e2,e1)
| e1 != op(e2,e0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f189,plain,
( ~ sP2
| e3 = op(e1,e1)
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f60]) ).
fof(f190,plain,
( ~ sP2
| e2 = op(e1,e1)
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f192,plain,
( ~ sP2
| e0 = op(e1,e1)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f193,plain,
( ~ sP2
| e3 = op(e0,e1)
| e1 != op(e0,e3) ),
inference(cnf_transformation,[],[f60]) ).
fof(f194,plain,
( ~ sP2
| e2 = op(e0,e1)
| e1 != op(e0,e2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f196,plain,
( ~ sP2
| e0 = op(e0,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f60]) ).
fof(f197,plain,
( ~ sP1
| e3 = op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f199,plain,
( ~ sP1
| e1 = op(e3,e2)
| e2 != op(e3,e1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f200,plain,
( ~ sP1
| e0 = op(e3,e2)
| e2 != op(e3,e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f201,plain,
( ~ sP1
| e3 = op(e2,e2)
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f203,plain,
( ~ sP1
| e1 = op(e2,e2)
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f204,plain,
( ~ sP1
| e0 = op(e2,e2)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f205,plain,
( ~ sP1
| e3 = op(e1,e2)
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f207,plain,
( ~ sP1
| e1 = op(e1,e2)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f208,plain,
( ~ sP1
| e0 = op(e1,e2)
| e2 != op(e1,e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f209,plain,
( ~ sP1
| e3 = op(e0,e2)
| e2 != op(e0,e3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f211,plain,
( ~ sP1
| e1 = op(e0,e2)
| e2 != op(e0,e1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f212,plain,
( ~ sP1
| e0 = op(e0,e2)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f229,plain,
( sP0
| sP1
| sP2
| sP3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f230,plain,
e3 != op(e3,e3),
inference(cnf_transformation,[],[f58]) ).
fof(f231,plain,
e2 != op(e2,e2),
inference(cnf_transformation,[],[f58]) ).
fof(f232,plain,
e1 != op(e1,e1),
inference(cnf_transformation,[],[f58]) ).
fof(f233,plain,
e0 != op(e0,e0),
inference(cnf_transformation,[],[f58]) ).
fof(f234,plain,
( op(e0,e0) != e3
| e2 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f235,plain,
( op(e0,e0) != e2
| e3 != op(op(e0,e0),e0)
| e1 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f236,plain,
( op(e0,e0) != e3
| e1 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f237,plain,
( op(e0,e0) != e1
| e3 != op(op(e0,e0),e0)
| e2 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f238,plain,
( op(e0,e0) != e2
| e1 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f239,plain,
( op(e0,e0) != e1
| e2 != op(op(e0,e0),e0)
| e3 != op(op(op(e0,e0),e0),e0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f240,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f241,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f242,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f243,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f244,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f245,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(op(op(e1,e1),e1),e1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f246,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f247,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f248,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f249,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f250,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f251,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(op(op(e2,e2),e2),e2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f252,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f253,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f254,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f255,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f256,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f257,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(op(op(e3,e3),e3),e3) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_49,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_50,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_51,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_52,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_53,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_54,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_55,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_56,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_57,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_58,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_59,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_60,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_61,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_62,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_63,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_64,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_65,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_66,plain,
( ( op(e3,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_67,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_68,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_69,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_70,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_71,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_72,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_73,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_74,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_75,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_76,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_77,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_78,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_79,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_80,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_81,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_82,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_83,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_84,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_85,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_86,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_87,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_88,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_89,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_90,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_91,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_92,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_93,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_94,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_95,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_96,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_97,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f158]) ).
tcf(c_98,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f157]) ).
tcf(c_99,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f156]) ).
tcf(c_100,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f155]) ).
tcf(c_101,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f154]) ).
tcf(c_102,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f153]) ).
tcf(c_103,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f152]) ).
tcf(c_104,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f151]) ).
tcf(c_105,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f150]) ).
tcf(c_106,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f149]) ).
tcf(c_107,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f148]) ).
tcf(c_108,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f147]) ).
tcf(c_109,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f146]) ).
tcf(c_110,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f145]) ).
tcf(c_111,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f144]) ).
tcf(c_112,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f143]) ).
tcf(c_113,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f142]) ).
tcf(c_114,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f141]) ).
tcf(c_115,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f140]) ).
tcf(c_116,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f139]) ).
tcf(c_117,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f138]) ).
tcf(c_118,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f137]) ).
tcf(c_119,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f136]) ).
tcf(c_120,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f135]) ).
tcf(c_121,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f134]) ).
tcf(c_122,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f133]) ).
tcf(c_123,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f132]) ).
tcf(c_124,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f131]) ).
tcf(c_125,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f130]) ).
tcf(c_126,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f129]) ).
tcf(c_127,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f128]) ).
tcf(c_128,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f127]) ).
tcf(c_129,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f126]) ).
tcf(c_130,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f125]) ).
tcf(c_131,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f124]) ).
tcf(c_132,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f123]) ).
tcf(c_133,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f122]) ).
tcf(c_134,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f121]) ).
tcf(c_135,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f120]) ).
tcf(c_136,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f119]) ).
tcf(c_137,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f118]) ).
tcf(c_138,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f117]) ).
tcf(c_139,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f116]) ).
tcf(c_140,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f115]) ).
tcf(c_141,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f114]) ).
tcf(c_142,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f113]) ).
tcf(c_143,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f112]) ).
tcf(c_144,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f111]) ).
tcf(c_145,plain,
e0 != e1,
inference(cnf_transformation,[],[f164]) ).
tcf(c_146,plain,
e0 != e2,
inference(cnf_transformation,[],[f163]) ).
tcf(c_147,plain,
e0 != e3,
inference(cnf_transformation,[],[f162]) ).
tcf(c_148,plain,
e1 != e2,
inference(cnf_transformation,[],[f161]) ).
tcf(c_149,plain,
e1 != e3,
inference(cnf_transformation,[],[f160]) ).
tcf(c_150,plain,
e2 != e3,
inference(cnf_transformation,[],[f159]) ).
tcf(c_151,plain,
( ( op(e0,e0) = e1 )
| ~ sP3
| ( op(e0,e1) != e0 ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_152,plain,
( ( op(e0,e0) = e2 )
| ~ sP3
| ( op(e0,e2) != e0 ) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_153,plain,
( ( op(e0,e0) = e3 )
| ~ sP3
| ( op(e0,e3) != e0 ) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_154,plain,
( ( op(e1,e0) = e1 )
| ~ sP3
| ( op(e1,e1) != e0 ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_155,plain,
( ( op(e1,e0) = e2 )
| ~ sP3
| ( op(e1,e2) != e0 ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_156,plain,
( ( op(e1,e0) = e3 )
| ~ sP3
| ( op(e1,e3) != e0 ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_157,plain,
( ( op(e2,e0) = e1 )
| ~ sP3
| ( op(e2,e1) != e0 ) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_158,plain,
( ( op(e2,e0) = e2 )
| ~ sP3
| ( op(e2,e2) != e0 ) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_159,plain,
( ( op(e2,e0) = e3 )
| ~ sP3
| ( op(e2,e3) != e0 ) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_160,plain,
( ( op(e3,e0) = e1 )
| ~ sP3
| ( op(e3,e1) != e0 ) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_161,plain,
( ( op(e3,e0) = e2 )
| ~ sP3
| ( op(e3,e2) != e0 ) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_162,plain,
( ( op(e3,e0) = e3 )
| ~ sP3
| ( op(e3,e3) != e0 ) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_163,plain,
( ( op(e0,e1) = e0 )
| ~ sP2
| ( op(e0,e0) != e1 ) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_164,plain,
( ( op(e0,e1) = e2 )
| ~ sP2
| ( op(e0,e2) != e1 ) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_165,plain,
( ( op(e0,e1) = e3 )
| ~ sP2
| ( op(e0,e3) != e1 ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_166,plain,
( ( op(e1,e1) = e0 )
| ~ sP2
| ( op(e1,e0) != e1 ) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_167,plain,
( ( op(e1,e1) = e2 )
| ~ sP2
| ( op(e1,e2) != e1 ) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_168,plain,
( ( op(e1,e1) = e3 )
| ~ sP2
| ( op(e1,e3) != e1 ) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_169,plain,
( ( op(e2,e1) = e0 )
| ~ sP2
| ( op(e2,e0) != e1 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_170,plain,
( ( op(e2,e1) = e2 )
| ~ sP2
| ( op(e2,e2) != e1 ) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_171,plain,
( ( op(e2,e1) = e3 )
| ~ sP2
| ( op(e2,e3) != e1 ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_172,plain,
( ( op(e3,e1) = e0 )
| ~ sP2
| ( op(e3,e0) != e1 ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_173,plain,
( ( op(e3,e1) = e2 )
| ~ sP2
| ( op(e3,e2) != e1 ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_174,plain,
( ( op(e3,e1) = e3 )
| ~ sP2
| ( op(e3,e3) != e1 ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_175,plain,
( ( op(e0,e2) = e0 )
| ~ sP1
| ( op(e0,e0) != e2 ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_176,plain,
( ( op(e0,e2) = e1 )
| ~ sP1
| ( op(e0,e1) != e2 ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_177,plain,
( ( op(e0,e2) = e3 )
| ~ sP1
| ( op(e0,e3) != e2 ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_178,plain,
( ( op(e1,e2) = e0 )
| ~ sP1
| ( op(e1,e0) != e2 ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_179,plain,
( ( op(e1,e2) = e1 )
| ~ sP1
| ( op(e1,e1) != e2 ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_180,plain,
( ( op(e1,e2) = e3 )
| ~ sP1
| ( op(e1,e3) != e2 ) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_181,plain,
( ( op(e2,e2) = e0 )
| ~ sP1
| ( op(e2,e0) != e2 ) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_182,plain,
( ( op(e2,e2) = e1 )
| ~ sP1
| ( op(e2,e1) != e2 ) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_183,plain,
( ( op(e2,e2) = e3 )
| ~ sP1
| ( op(e2,e3) != e2 ) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_184,plain,
( ( op(e3,e2) = e0 )
| ~ sP1
| ( op(e3,e0) != e2 ) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_185,plain,
( ( op(e3,e2) = e1 )
| ~ sP1
| ( op(e3,e1) != e2 ) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_186,plain,
( ( op(e3,e2) = e3 )
| ~ sP1
| ( op(e3,e3) != e2 ) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_199,plain,
op(e0,e0) != e0,
inference(cnf_transformation,[],[f233]) ).
tcf(c_200,plain,
op(e1,e1) != e1,
inference(cnf_transformation,[],[f232]) ).
tcf(c_201,plain,
op(e2,e2) != e2,
inference(cnf_transformation,[],[f231]) ).
tcf(c_202,plain,
op(e3,e3) != e3,
inference(cnf_transformation,[],[f230]) ).
tcf(c_203,plain,
( sP0
| sP1
| sP2
| sP3 ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_204,plain,
( ( op(e0,e0) != e3 )
| ( op(op(e0,e0),e0) != e2 )
| ( op(op(op(e0,e0),e0),e0) != e1 ) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_205,plain,
( ( op(e0,e0) != e2 )
| ( op(op(e0,e0),e0) != e3 )
| ( op(op(op(e0,e0),e0),e0) != e1 ) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_206,plain,
( ( op(e0,e0) != e3 )
| ( op(op(e0,e0),e0) != e1 )
| ( op(op(op(e0,e0),e0),e0) != e2 ) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_207,plain,
( ( op(e0,e0) != e1 )
| ( op(op(e0,e0),e0) != e3 )
| ( op(op(op(e0,e0),e0),e0) != e2 ) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_208,plain,
( ( op(e0,e0) != e2 )
| ( op(op(e0,e0),e0) != e1 )
| ( op(op(op(e0,e0),e0),e0) != e3 ) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_209,plain,
( ( op(e0,e0) != e1 )
| ( op(op(e0,e0),e0) != e2 )
| ( op(op(op(e0,e0),e0),e0) != e3 ) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_210,plain,
( ( op(e1,e1) != e3 )
| ( op(op(e1,e1),e1) != e2 )
| ( op(op(op(e1,e1),e1),e1) != e0 ) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_211,plain,
( ( op(e1,e1) != e2 )
| ( op(op(e1,e1),e1) != e3 )
| ( op(op(op(e1,e1),e1),e1) != e0 ) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_212,plain,
( ( op(e1,e1) != e3 )
| ( op(op(e1,e1),e1) != e0 )
| ( op(op(op(e1,e1),e1),e1) != e2 ) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_213,plain,
( ( op(e1,e1) != e0 )
| ( op(op(e1,e1),e1) != e3 )
| ( op(op(op(e1,e1),e1),e1) != e2 ) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_214,plain,
( ( op(e1,e1) != e2 )
| ( op(op(e1,e1),e1) != e0 )
| ( op(op(op(e1,e1),e1),e1) != e3 ) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_215,plain,
( ( op(e1,e1) != e0 )
| ( op(op(e1,e1),e1) != e2 )
| ( op(op(op(e1,e1),e1),e1) != e3 ) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_216,plain,
( ( op(e2,e2) != e3 )
| ( op(op(e2,e2),e2) != e1 )
| ( op(op(op(e2,e2),e2),e2) != e0 ) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_217,plain,
( ( op(e2,e2) != e1 )
| ( op(op(e2,e2),e2) != e3 )
| ( op(op(op(e2,e2),e2),e2) != e0 ) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_218,plain,
( ( op(e2,e2) != e3 )
| ( op(op(e2,e2),e2) != e0 )
| ( op(op(op(e2,e2),e2),e2) != e1 ) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_219,plain,
( ( op(e2,e2) != e0 )
| ( op(op(e2,e2),e2) != e3 )
| ( op(op(op(e2,e2),e2),e2) != e1 ) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_220,plain,
( ( op(e2,e2) != e1 )
| ( op(op(e2,e2),e2) != e0 )
| ( op(op(op(e2,e2),e2),e2) != e3 ) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_221,plain,
( ( op(e2,e2) != e0 )
| ( op(op(e2,e2),e2) != e1 )
| ( op(op(op(e2,e2),e2),e2) != e3 ) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_222,plain,
( ( op(e3,e3) != e2 )
| ( op(op(e3,e3),e3) != e1 )
| ( op(op(op(e3,e3),e3),e3) != e0 ) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_223,plain,
( ( op(e3,e3) != e1 )
| ( op(op(e3,e3),e3) != e2 )
| ( op(op(op(e3,e3),e3),e3) != e0 ) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_224,plain,
( ( op(e3,e3) != e2 )
| ( op(op(e3,e3),e3) != e0 )
| ( op(op(op(e3,e3),e3),e3) != e1 ) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_225,plain,
( ( op(e3,e3) != e0 )
| ( op(op(e3,e3),e3) != e2 )
| ( op(op(op(e3,e3),e3),e3) != e1 ) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_226,plain,
( ( op(e3,e3) != e1 )
| ( op(op(e3,e3),e3) != e0 )
| ( op(op(op(e3,e3),e3),e3) != e2 ) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_227,plain,
( ( op(e3,e3) != e0 )
| ( op(op(e3,e3),e3) != e1 )
| ( op(op(op(e3,e3),e3),e3) != e2 ) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_228,plain,
( ( op(e0,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e2,e3) = e3 ) ),
inference(global_subsumption_just,[status(thm)],[c_96,c_202,c_96]) ).
tcf(c_229,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(renaming,[status(thm)],[c_228]) ).
tcf(c_230,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_202,c_95]) ).
tcf(c_231,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(renaming,[status(thm)],[c_230]) ).
tcf(c_232,plain,
( ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_201,c_86]) ).
tcf(c_233,plain,
( ( op(e3,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(renaming,[status(thm)],[c_232]) ).
tcf(c_234,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e2,e1) = e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_85,c_201,c_85]) ).
tcf(c_235,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(renaming,[status(thm)],[c_234]) ).
tcf(c_236,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_76,c_200,c_76]) ).
tcf(c_238,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_75,c_200,c_75]) ).
tcf(c_240,plain,
( ( op(e3,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_199,c_66]) ).
tcf(c_242,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_199,c_65]) ).
tcf(c_244,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_202,c_64]) ).
tcf(c_245,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(renaming,[status(thm)],[c_244]) ).
tcf(c_246,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 )
| ( op(e2,e2) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_201,c_59]) ).
tcf(c_247,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(renaming,[status(thm)],[c_246]) ).
tcf(c_248,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_200,c_54]) ).
tcf(c_250,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_199,c_49]) ).
tcf(c_2127,plain,
( sP0
| sP1
| sP2
| ( op(e0,e0) = e2 )
| ( op(e0,e2) != e0 ) ),
inference(resolution,[status(thm)],[c_203,c_152]) ).
tcf(c_2143,plain,
( sP0
| sP1
| sP2
| ( op(e0,e0) = e1 )
| ( op(e0,e1) != e0 ) ),
inference(resolution,[status(thm)],[c_203,c_151]) ).
tcf(c_2331,plain,
( sP0
| sP1
| sP3
| ( op(e1,e1) = e2 )
| ( op(e1,e2) != e1 ) ),
inference(resolution,[status(thm)],[c_203,c_167]) ).
tcf(c_2347,plain,
( sP0
| sP1
| sP3
| ( op(e1,e1) = e0 )
| ( op(e1,e0) != e1 ) ),
inference(resolution,[status(thm)],[c_203,c_166]) ).
tcf(c_2535,plain,
( sP0
| sP2
| sP3
| ( op(e2,e2) = e1 )
| ( op(e2,e1) != e2 ) ),
inference(resolution,[status(thm)],[c_203,c_182]) ).
tcf(c_2551,plain,
( sP0
| sP2
| sP3
| ( op(e2,e2) = e0 )
| ( op(e2,e0) != e2 ) ),
inference(resolution,[status(thm)],[c_203,c_181]) ).
tcf(c_3930,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_50,c_121]) ).
tcf(c_3935,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_51,c_122]) ).
tcf(c_3953,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e0,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_52,c_125]) ).
tcf(c_3954,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_52,c_123]) ).
tcf(c_3976,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_53,c_97]) ).
tcf(c_4072,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e1,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_55,c_128]) ).
tcf(c_4073,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_55,c_109]) ).
tcf(c_4199,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 )
| ( op(e1,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_56,c_132]) ).
tcf(c_4200,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 )
| ( op(e1,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_56,c_131]) ).
tcf(c_4201,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 )
| ( op(e1,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_56,c_129]) ).
tcf(c_4202,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) != e3 ) ),
inference(superposition,[status(thm)],[c_56,c_115]) ).
tcf(c_4352,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_57,c_98]) ).
tcf(c_4393,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e3,e0) != e1 ) ),
inference(superposition,[status(thm)],[c_236,c_139]) ).
tcf(c_4409,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e2,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_229,c_138]) ).
tcf(c_4411,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e2,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_229,c_135]) ).
tcf(c_4434,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_231,c_114]) ).
tcf(c_4435,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e1,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_231,c_113]) ).
tcf(c_4436,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e0,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_231,c_111]) ).
tcf(c_4456,plain,
( ( e2 = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(superposition,[status(thm)],[c_231,c_233]) ).
tcf(c_4472,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4456,c_150]) ).
tcf(c_4483,plain,
( ( e2 = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(superposition,[status(thm)],[c_229,c_235]) ).
tcf(c_4485,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ~ sP1 ),
inference(superposition,[status(thm)],[c_235,c_183]) ).
tcf(c_4491,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e3) != e2 ) ),
inference(superposition,[status(thm)],[c_235,c_118]) ).
tcf(c_4492,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e0,e3) != e2 ) ),
inference(superposition,[status(thm)],[c_235,c_116]) ).
tcf(c_4503,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4483,c_150]) ).
tcf(c_4517,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e1 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_238,c_168]) ).
tcf(c_4522,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_238,c_115]) ).
tcf(c_4557,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e3 )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_242,c_153]) ).
tcf(c_4572,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e2) = e3 )
| ~ sP1 ),
inference(superposition,[status(thm)],[c_245,c_186]) ).
tcf(c_4575,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e2) != e2 ) ),
inference(superposition,[status(thm)],[c_245,c_144]) ).
tcf(c_4576,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e1) != e2 ) ),
inference(superposition,[status(thm)],[c_245,c_143]) ).
tcf(c_4577,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e0) != e2 ) ),
inference(superposition,[status(thm)],[c_245,c_141]) ).
tcf(c_4578,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) != e2 ) ),
inference(superposition,[status(thm)],[c_245,c_120]) ).
tcf(c_4579,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e1,e3) != e2 ) ),
inference(superposition,[status(thm)],[c_245,c_119]) ).
tcf(c_4580,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e0,e3) != e2 ) ),
inference(superposition,[status(thm)],[c_245,c_117]) ).
tcf(c_4613,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_247,c_136]) ).
tcf(c_4614,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_247,c_134]) ).
tcf(c_4615,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_247,c_112]) ).
tcf(c_4616,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e0,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_247,c_110]) ).
tcf(c_4643,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_248,c_127]) ).
tcf(c_4644,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_248,c_103]) ).
tcf(c_4688,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_58,c_133]) ).
tcf(c_4689,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_58,c_106]) ).
tcf(c_4721,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 )
| ( op(e2,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_60,c_138]) ).
tcf(c_4722,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 )
| ( op(e2,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_60,c_137]) ).
tcf(c_4723,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 )
| ( op(e2,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_60,c_135]) ).
tcf(c_4725,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 )
| ( op(e0,e3) != e3 ) ),
inference(superposition,[status(thm)],[c_60,c_116]) ).
tcf(c_4767,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 )
| ( op(e1,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_61,c_101]) ).
tcf(c_4768,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_61,c_99]) ).
tcf(c_4799,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_62,c_139]) ).
tcf(c_4801,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e1,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_62,c_107]) ).
tcf(c_4802,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e0,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_62,c_105]) ).
tcf(c_4844,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_63,c_140]) ).
tcf(c_4845,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e2,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_63,c_114]) ).
tcf(c_4920,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_247,c_4434]) ).
tcf(c_4996,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(superposition,[status(thm)],[c_233,c_4575]) ).
tcf(c_5102,plain,
( ( e0 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e2 ) ),
inference(superposition,[status(thm)],[c_69,c_242]) ).
tcf(c_5120,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5102,c_146]) ).
tcf(c_5153,plain,
( ( e2 = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(superposition,[status(thm)],[c_70,c_61]) ).
tcf(c_5178,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5153,c_150]) ).
tcf(c_5207,plain,
( ( e0 = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e3 ) ),
inference(superposition,[status(thm)],[c_71,c_242]) ).
tcf(c_5214,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5207,c_147]) ).
tcf(c_5264,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(superposition,[status(thm)],[c_235,c_4578]) ).
tcf(c_5300,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_58,c_4613]) ).
tcf(c_5336,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_51,c_4616]) ).
tcf(c_5360,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_50,c_4644]) ).
tcf(c_5397,plain,
( ( e0 = e3 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e3 ) ),
inference(superposition,[status(thm)],[c_72,c_240]) ).
tcf(c_5409,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5397,c_147]) ).
tcf(c_5445,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_73,c_156]) ).
tcf(c_5478,plain,
( ( e0 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_74,c_236]) ).
tcf(c_5481,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_74,c_160]) ).
tcf(c_5495,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5478,c_145]) ).
tcf(c_5513,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(superposition,[status(thm)],[c_77,c_4579]) ).
tcf(c_5574,plain,
( ( e0 = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_78,c_74]) ).
tcf(c_5575,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(superposition,[status(thm)],[c_78,c_4576]) ).
tcf(c_5577,plain,
( ( e2 = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(superposition,[status(thm)],[c_78,c_62]) ).
tcf(c_5580,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 )
| ~ sP1 ),
inference(superposition,[status(thm)],[c_78,c_185]) ).
tcf(c_5582,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e3,e0) != e2 ) ),
inference(superposition,[status(thm)],[c_78,c_139]) ).
tcf(c_5611,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5577,c_150]) ).
tcf(c_5618,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5574,c_146]) ).
tcf(c_5945,plain,
( ( e0 = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_79,c_73]) ).
tcf(c_5955,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e3) != e3 ) ),
inference(superposition,[status(thm)],[c_79,c_115]) ).
tcf(c_5966,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5945,c_147]) ).
tcf(c_5991,plain,
( ( e2 = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(superposition,[status(thm)],[c_80,c_78]) ).
tcf(c_5992,plain,
( ( e0 = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_80,c_74]) ).
tcf(c_5999,plain,
( ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_80,c_139]) ).
tcf(c_6018,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5992,c_147]) ).
tcf(c_6025,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5991,c_150]) ).
tcf(c_6045,plain,
( ( e0 = e2 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_81,c_235]) ).
tcf(c_6046,plain,
( ( e0 = e3 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(superposition,[status(thm)],[c_81,c_229]) ).
tcf(c_6049,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_81,c_159]) ).
tcf(c_6053,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e3) != e0 ) ),
inference(superposition,[status(thm)],[c_81,c_118]) ).
tcf(c_6068,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6046,c_147]) ).
tcf(c_6074,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6045,c_146]) ).
tcf(c_6097,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_82,c_161]) ).
tcf(c_6098,plain,
( ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e3,e1) != e0 ) ),
inference(superposition,[status(thm)],[c_82,c_142]) ).
tcf(c_6099,plain,
( ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e3,e0) != e0 ) ),
inference(superposition,[status(thm)],[c_82,c_140]) ).
tcf(c_6140,plain,
( ( e0 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_83,c_81]) ).
tcf(c_6143,plain,
( ( e1 = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(superposition,[status(thm)],[c_83,c_235]) ).
tcf(c_6146,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_83,c_171]) ).
tcf(c_6151,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_83,c_118]) ).
tcf(c_6152,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e0,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_83,c_116]) ).
tcf(c_6172,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6143,c_148]) ).
tcf(c_6185,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6140,c_145]) ).
tcf(c_6208,plain,
( ( e1 = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(superposition,[status(thm)],[c_84,c_231]) ).
tcf(c_6210,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_84,c_173]) ).
tcf(c_6213,plain,
( ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e3,e0) != e1 ) ),
inference(superposition,[status(thm)],[c_84,c_140]) ).
tcf(c_6230,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6208,c_149]) ).
tcf(c_6267,plain,
( ( e1 = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(superposition,[status(thm)],[c_87,c_83]) ).
tcf(c_6268,plain,
( ( e0 = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_87,c_81]) ).
tcf(c_6270,plain,
( ( e2 = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(superposition,[status(thm)],[c_87,c_235]) ).
tcf(c_6277,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e3) != e3 ) ),
inference(superposition,[status(thm)],[c_87,c_118]) ).
tcf(c_6278,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e0,e3) != e3 ) ),
inference(superposition,[status(thm)],[c_87,c_116]) ).
tcf(c_6287,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6270,c_150]) ).
tcf(c_6293,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6268,c_147]) ).
tcf(c_6300,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6267,c_149]) ).
tcf(c_6318,plain,
( ( e1 = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(superposition,[status(thm)],[c_88,c_84]) ).
tcf(c_6319,plain,
( ( e0 = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_88,c_82]) ).
tcf(c_6325,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e3,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_88,c_142]) ).
tcf(c_6326,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_88,c_140]) ).
tcf(c_6349,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6319,c_147]) ).
tcf(c_6356,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6318,c_149]) ).
tcf(c_6375,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e3 )
| ( op(e3,e0) = e0 )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_89,c_162]) ).
tcf(c_6380,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e1,e3) != e0 ) ),
inference(superposition,[status(thm)],[c_89,c_119]) ).
tcf(c_6381,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e0,e3) != e0 ) ),
inference(superposition,[status(thm)],[c_89,c_117]) ).
tcf(c_6412,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 )
| ~ sP3 ),
inference(superposition,[status(thm)],[c_90,c_162]) ).
tcf(c_6413,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e3,e2) != e0 ) ),
inference(superposition,[status(thm)],[c_90,c_144]) ).
tcf(c_6414,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e3,e1) != e0 ) ),
inference(superposition,[status(thm)],[c_90,c_143]) ).
tcf(c_6415,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e3,e0) != e0 ) ),
inference(superposition,[status(thm)],[c_90,c_141]) ).
tcf(c_6448,plain,
( ( e0 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(superposition,[status(thm)],[c_91,c_90]) ).
tcf(c_6449,plain,
( ( e0 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_91,c_89]) ).
tcf(c_6450,plain,
( ( e1 = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(superposition,[status(thm)],[c_91,c_245]) ).
tcf(c_6452,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_91,c_174]) ).
tcf(c_6458,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e1,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_91,c_119]) ).
tcf(c_6459,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e0,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_91,c_117]) ).
tcf(c_6478,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6450,c_148]) ).
tcf(c_6484,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6449,c_145]) ).
tcf(c_6491,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6448,c_145]) ).
tcf(c_6510,plain,
( ( e0 = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(superposition,[status(thm)],[c_92,c_89]) ).
tcf(c_6513,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_92,c_174]) ).
tcf(c_6515,plain,
( ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e3,e2) != e1 ) ),
inference(superposition,[status(thm)],[c_92,c_144]) ).
tcf(c_6516,plain,
( ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e3,e1) != e1 ) ),
inference(superposition,[status(thm)],[c_92,c_143]) ).
tcf(c_6545,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6510,c_145]) ).
tcf(c_6572,plain,
( ( e1 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(superposition,[status(thm)],[c_93,c_91]) ).
tcf(c_6573,plain,
( ( e0 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(superposition,[status(thm)],[c_93,c_90]) ).
tcf(c_6581,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e3) != e2 ) ),
inference(superposition,[status(thm)],[c_93,c_120]) ).
tcf(c_6583,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e0,e3) != e2 ) ),
inference(superposition,[status(thm)],[c_93,c_117]) ).
tcf(c_6609,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6573,c_146]) ).
tcf(c_6616,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6572,c_148]) ).
tcf(c_6646,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 )
| ~ sP1 ),
inference(superposition,[status(thm)],[c_94,c_186]) ).
tcf(c_6649,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e3,e2) != e2 ) ),
inference(superposition,[status(thm)],[c_94,c_144]) ).
tcf(c_6651,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 )
| ( op(e3,e0) != e2 ) ),
inference(superposition,[status(thm)],[c_94,c_141]) ).
tcf(c_6722,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e1,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_4472,c_107]) ).
tcf(c_6723,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_4472,c_105]) ).
tcf(c_6771,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 )
| ( op(e0,e1) != e2 ) ),
inference(superposition,[status(thm)],[c_4503,c_104]) ).
tcf(c_6851,plain,
( ( e0 = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_4920,c_74]) ).
tcf(c_6854,plain,
( ( e1 = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(superposition,[status(thm)],[c_4920,c_236]) ).
tcf(c_6860,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e1,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_4920,c_107]) ).
tcf(c_6875,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6854,c_149]) ).
tcf(c_6881,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6851,c_147]) ).
tcf(c_7017,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_4996,c_174]) ).
tcf(c_7117,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e3,e2) != e1 ) ),
inference(superposition,[status(thm)],[c_5264,c_144]) ).
tcf(c_7118,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e3,e1) != e1 ) ),
inference(superposition,[status(thm)],[c_5264,c_143]) ).
tcf(c_7119,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) != e1 ) ),
inference(superposition,[status(thm)],[c_5264,c_141]) ).
tcf(c_7122,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e0,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_5264,c_117]) ).
tcf(c_7199,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(superposition,[status(thm)],[c_250,c_3935]) ).
tcf(c_7236,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_50,c_3953]) ).
fof(f54,definition,
( ~ sP0
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e3) = e3
| op(e2,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e3) = e1
| op(e2,e1) != e3 )
& ( op(e2,e3) = e0
| op(e2,e0) != e3 )
& ( op(e1,e3) = e3
| op(e1,e3) != e3 )
& ( op(e1,e3) = e2
| op(e1,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e3) = e0
| op(e1,e0) != e3 )
& ( op(e0,e3) = e3
| op(e0,e3) != e3 )
& ( op(e0,e3) = e2
| op(e0,e2) != e3 )
& ( op(e0,e3) = e1
| op(e0,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ~ sP1
| ( ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e2) = e2
| op(e3,e2) != e2 )
& ( op(e3,e2) = e1
| op(e3,e1) != e2 )
& ( op(e3,e2) = e0
| op(e3,e0) != e2 )
& ( op(e2,e2) = e3
| op(e2,e3) != e2 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e2) = e1
| op(e2,e1) != e2 )
& ( op(e2,e2) = e0
| op(e2,e0) != e2 )
& ( op(e1,e2) = e3
| op(e1,e3) != e2 )
& ( op(e1,e2) = e2
| op(e1,e2) != e2 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e2) = e0
| op(e1,e0) != e2 )
& ( op(e0,e2) = e3
| op(e0,e3) != e2 )
& ( op(e0,e2) = e2
| op(e0,e2) != e2 )
& ( op(e0,e2) = e1
| op(e0,e1) != e2 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ~ sP2
| ( ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e1) = e2
| op(e3,e2) != e1 )
& ( op(e3,e1) = e1
| op(e3,e1) != e1 )
& ( op(e3,e1) = e0
| op(e3,e0) != e1 )
& ( op(e2,e1) = e3
| op(e2,e3) != e1 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e1) = e1
| op(e2,e1) != e1 )
& ( op(e2,e1) = e0
| op(e2,e0) != e1 )
& ( op(e1,e1) = e3
| op(e1,e3) != e1 )
& ( op(e1,e1) = e2
| op(e1,e2) != e1 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e1) = e0
| op(e1,e0) != e1 )
& ( op(e0,e1) = e3
| op(e0,e3) != e1 )
& ( op(e0,e1) = e2
| op(e0,e2) != e1 )
& ( op(e0,e1) = e1
| op(e0,e1) != e1 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ~ sP3
| ( ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e3,e0) = e2
| op(e3,e2) != e0 )
& ( op(e3,e0) = e1
| op(e3,e1) != e0 )
& ( op(e3,e0) = e0
| op(e3,e0) != e0 )
& ( op(e2,e0) = e3
| op(e2,e3) != e0 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e2,e0) = e1
| op(e2,e1) != e0 )
& ( op(e2,e0) = e0
| op(e2,e0) != e0 )
& ( op(e1,e0) = e3
| op(e1,e3) != e0 )
& ( op(e1,e0) = e2
| op(e1,e2) != e0 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e1,e0) = e0
| op(e1,e0) != e0 )
& ( op(e0,e0) = e3
| op(e0,e3) != e0 )
& ( op(e0,e0) = e2
| op(e0,e2) != e0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f58,plain,
( ( sP0
| sP1
| sP2
| sP3 )
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).
fof(f62,plain,
( ~ sP0
| ( ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) = e2
| op(e3,e2) != e3 )
& ( op(e3,e3) = e1
| op(e3,e1) != e3 )
& ( op(e3,e3) = e0
| op(e3,e0) != e3 )
& ( op(e2,e3) = e3
| op(e2,e3) != e3 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e3) = e1
| op(e2,e1) != e3 )
& ( op(e2,e3) = e0
| op(e2,e0) != e3 )
& ( op(e1,e3) = e3
| op(e1,e3) != e3 )
& ( op(e1,e3) = e2
| op(e1,e2) != e3 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e3) = e0
| op(e1,e0) != e3 )
& ( op(e0,e3) = e3
| op(e0,e3) != e3 )
& ( op(e0,e3) = e2
| op(e0,e2) != e3 )
& ( op(e0,e3) = e1
| op(e0,e1) != e3 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 ) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f214,plain,
( ~ sP0
| e2 = op(e3,e3)
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f215,plain,
( ~ sP0
| e1 = op(e3,e3)
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f216,plain,
( ~ sP0
| e0 = op(e3,e3)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f218,plain,
( ~ sP0
| e2 = op(e2,e3)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f219,plain,
( ~ sP0
| e1 = op(e2,e3)
| e3 != op(e2,e1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f220,plain,
( ~ sP0
| e0 = op(e2,e3)
| e3 != op(e2,e0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f222,plain,
( ~ sP0
| e2 = op(e1,e3)
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f223,plain,
( ~ sP0
| e1 = op(e1,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f224,plain,
( ~ sP0
| e0 = op(e1,e3)
| e3 != op(e1,e0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f226,plain,
( ~ sP0
| e2 = op(e0,e3)
| e3 != op(e0,e2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f227,plain,
( ~ sP0
| e1 = op(e0,e3)
| e3 != op(e0,e1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f228,plain,
( ~ sP0
| e0 = op(e0,e3)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_187,plain,
( ( op(e0,e3) = e0 )
| ~ sP0
| ( op(e0,e0) != e3 ) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_188,plain,
( ( op(e0,e3) = e1 )
| ~ sP0
| ( op(e0,e1) != e3 ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_189,plain,
( ( op(e0,e3) = e2 )
| ~ sP0
| ( op(e0,e2) != e3 ) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_190,plain,
( ( op(e1,e3) = e0 )
| ~ sP0
| ( op(e1,e0) != e3 ) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_191,plain,
( ( op(e1,e3) = e1 )
| ~ sP0
| ( op(e1,e1) != e3 ) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_192,plain,
( ( op(e1,e3) = e2 )
| ~ sP0
| ( op(e1,e2) != e3 ) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_193,plain,
( ( op(e2,e3) = e0 )
| ~ sP0
| ( op(e2,e0) != e3 ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_194,plain,
( ( op(e2,e3) = e1 )
| ~ sP0
| ( op(e2,e1) != e3 ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_195,plain,
( ( op(e2,e3) = e2 )
| ~ sP0
| ( op(e2,e2) != e3 ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_196,plain,
( ( op(e3,e3) = e0 )
| ~ sP0
| ( op(e3,e0) != e3 ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_197,plain,
( ( op(e3,e3) = e1 )
| ~ sP0
| ( op(e3,e1) != e3 ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_198,plain,
( ( op(e3,e3) = e2 )
| ~ sP0
| ( op(e3,e2) != e3 ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_4316,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ~ sP0 ),
inference(superposition,[status(thm)],[c_55,c_192]) ).
tcf(c_4348,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 )
| ~ sP0 ),
inference(superposition,[status(thm)],[c_57,c_193]) ).
tcf(c_4429,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 )
| ~ sP0 ),
inference(superposition,[status(thm)],[c_231,c_198]) ).
tcf(c_4610,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ~ sP0 ),
inference(superposition,[status(thm)],[c_247,c_195]) ).
tcf(c_4640,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 )
| ~ sP0 ),
inference(superposition,[status(thm)],[c_248,c_191]) ).
tcf(c_4662,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ~ sP0 ),
inference(superposition,[status(thm)],[c_250,c_187]) ).
tcf(c_4685,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 )
| ~ sP0 ),
inference(superposition,[status(thm)],[c_58,c_194]) ).
tcf(c_5374,plain,
( sP1
| sP2
| sP3
| ( op(e3,e3) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(superposition,[status(thm)],[c_203,c_4429]) ).
tcf(c_5398,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 )
| ~ sP0 ),
inference(superposition,[status(thm)],[c_72,c_196]) ).
tcf(c_5800,plain,
( sP1
| sP2
| sP3
| ( op(e2,e3) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_203,c_4610]) ).
tcf(c_5815,plain,
( sP1
| sP2
| sP3
| ( op(e1,e3) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_203,c_4640]) ).
tcf(c_5830,plain,
( sP1
| sP2
| sP3
| ( op(e0,e3) = e0 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(superposition,[status(thm)],[c_203,c_4662]) ).
tcf(c_5837,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e3) = e2 )
| sP3
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_5374,c_183,c_180,c_177,c_94,c_4436,c_4435,c_4434,c_5374]) ).
tcf(c_5838,plain,
( sP2
| sP3
| ( op(e3,e3) = e2 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(renaming,[status(thm)],[c_5837]) ).
tcf(c_5857,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e3) = e2 )
| sP3
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_5800,c_235,c_2535,c_2551,c_4610]) ).
tcf(c_5858,plain,
( sP2
| sP3
| ( op(e2,e3) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(renaming,[status(thm)],[c_5857]) ).
tcf(c_5877,plain,
( sP1
| ( op(e1,e1) = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e3) = e1 )
| sP3 ),
inference(global_subsumption_just,[status(thm)],[c_5815,c_238,c_2331,c_2347,c_4640]) ).
tcf(c_5878,plain,
( sP1
| sP3
| ( op(e1,e3) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(renaming,[status(thm)],[c_5877]) ).
tcf(c_5889,plain,
( sP3
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e2) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_5878,c_4572]) ).
tcf(c_5905,plain,
( sP1
| sP2
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_5830,c_242,c_2127,c_2143,c_4662]) ).
tcf(c_5906,plain,
( sP1
| sP2
| ( op(e0,e3) = e0 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(renaming,[status(thm)],[c_5905]) ).
tcf(c_5996,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 )
| ~ sP0 ),
inference(superposition,[status(thm)],[c_80,c_197]) ).
tcf(c_7348,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_7236,c_7199,c_7122,c_7119,c_7118,c_7117,c_7017,c_6881,c_6875,c_6860,c_6771,c_6723,c_6722,c_6651,c_6649,c_6646,c_6616,c_6609,c_6583,c_6581,c_6545,c_6516,c_6515,c_6513,c_6491,c_6484,c_6478,c_6459,c_6458,c_6452,c_6415,c_6414,c_6413,c_6412,c_6381,c_6380,c_6375,c_6356,c_6349,c_6326,c_6325,c_6300,c_6293,c_6287,c_6278,c_6277,c_6230,c_6213,c_6210,c_6185,c_6172,c_6152,c_6151,c_6146,c_6099,c_6098,c_6097,c_6074,c_6068,c_6053,c_6049,c_6025,c_6018,c_5999,c_5996,c_5966,c_5955,c_5906,c_5889,c_5878,c_5858,c_5838,c_5618,c_5611,c_5582,c_5580,c_5575,c_5513,c_5495,c_5481,c_5445,c_5409,c_5398,c_5360,c_5336,c_5300,c_5214,c_5178,c_5120,c_4845,c_4844,c_4802,c_4801,c_4799,c_4768,c_4767,c_4725,c_4723,c_4722,c_4721,c_4689,c_4688,c_4685,c_4644,c_4643,c_4616,c_4615,c_4614,c_4613,c_4610,c_4580,c_4578,c_4577,c_4576,c_4575,c_4557,c_4522,c_4517,c_4503,c_4492,c_4491,c_4485,c_4436,c_4434,c_4411,c_4409,c_4393,c_4352,c_4348,c_4316,c_4202,c_4201,c_4200,c_4199,c_4073,c_4072,c_3976,c_3954,c_3953,c_3930,c_250,c_248,c_247,c_245,c_242,c_240,c_236,c_235,c_233,c_231,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_185,c_184,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_84,c_82,c_81,c_80,c_79,c_78,c_77,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_62,c_61,c_58,c_57,c_56,c_55,c_53,c_52,c_51,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG149+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/1.14 % Computer : n012.cluster.edu
% 0.04/1.14 % Model : x86_64 x86_64
% 0.04/1.14 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/1.14 % Memory : 8046.5625MB
% 0.04/1.14 % OS : Linux 6.8.0-71-generic
% 0.04/1.14 % CPULimit : 300
% 0.04/1.14 % WCLimit : 300
% 0.04/1.14 % DateTime : Fri Sep 25 04:54:15 UTC 2026
% 0.04/1.14 % CPUTime :
% 0.04/1.14 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/1.16 Running first-order theorem proving
% 0.04/1.16 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/1.17
% 0.04/1.17 % ======== iProver multi-core TPTP/SMT =========
% 0.04/1.17
% 0.04/1.17 % Detected problem language: tptp
% 0.04/1.18 % Proving...
% 0.59/1.90 % SZS status Started for theBenchmark.p
% 0.59/1.90 % SZS status Unsatisfiable for theBenchmark.p
% 0.59/1.90
% 0.59/1.90 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.59/1.90
% 0.59/1.90 % ------ iProver source info
% 0.59/1.90
% 0.59/1.90 % git: date: 2026-07-19 20:42:38 +0200
% 0.59/1.90 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.59/1.90 % git: non_committed_changes: false
% 0.59/1.90
% 0.59/1.90 % ------ Parsing...
% 0.59/1.90 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.59/1.90
% 0.59/1.90 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.59/1.90
% 0.59/1.90 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.59/1.90
% 0.59/1.90 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.59/1.90 % ------ Proving...
% 0.59/1.90 % ------ Problem Properties
% 0.59/1.90
% 0.59/1.90 %
% 0.59/1.90 % clauses 179
% 0.59/1.90 % conjectures 0
% 0.59/1.90 % EPR 7
% 0.59/1.90 % Horn 130
% 0.59/1.90 % unary 58
% 0.59/1.90 % binary 0
% 0.59/1.90 % lits 458
% 0.59/1.90 % lits eq 406
% 0.59/1.90 % fd_pure 0
% 0.59/1.90 % fd_pseudo 0
% 0.59/1.90 % fd_cond 0
% 0.59/1.90 % fd_pseudo_cond 0
% 0.59/1.90 % AC symbols 0
% 0.59/1.90
% 0.59/1.90 % ------ Schedule dynamic 5 is on
% 0.59/1.90
% 0.59/1.90 % ------ no conjectures: strip conj schedule
% 0.59/1.90
% 0.59/1.90 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.59/1.90
% 0.59/1.90
% 0.59/1.90 % ------
% 0.59/1.90 % Current options:
% 0.59/1.90 % ------
% 0.59/1.90
% 0.59/1.90
% 0.59/1.90 %
% 0.59/1.90
% 0.59/1.90 % ------ Proving...
% 0.59/1.90 %
% 0.59/1.90
% 0.59/1.90 % SZS status Unsatisfiable for theBenchmark.p
% 0.59/1.90
% 0.59/1.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.59/1.91
% 0.59/1.91
%------------------------------------------------------------------------------