%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG135+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 12:53:33 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.27s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 418 ( 100 unt; 4 def)
% Number of atoms : 1582 (1473 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 1657 ( 493 ~;1000 |; 164 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 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 : 4 ( 0 sgn 4 !; 0 ?; 4 :)
% 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e3) = e0 ) )
& ( ( op(e2,e3) != e2
& op(e3,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e2) = e0 ) )
& ( ( op(e1,e3) != e1
& op(e3,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e1) = e0 ) )
& ( ( op(e0,e3) != e0
& op(e3,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f9,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
& e0 = op(op(e3,e3),op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f10,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e0 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e1 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f16,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e1 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f18,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
& e2 = op(op(e1,e1),op(e1,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f20,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f22,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
& e2 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f25,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
& e3 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f30,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f31,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f32,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f33,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
( e1 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f36,plain,
( e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f40,plain,
( op(e0,e0) != e2
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f42,plain,
( e3 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f44,plain,
( op(e0,e0) != e3
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f46,plain,
( op(e0,e0) != e1
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f49,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f59,plain,
( ~ sP3
| ( op(e0,e3) != e0
& op(e3,e0) = e3 ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f60,plain,
( ~ sP2
| ( op(e1,e3) != e1
& op(e3,e1) = e3 ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f61,plain,
( ~ sP1
| ( op(e2,e3) != e2
& op(e3,e2) = e3 ) ),
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(f65,plain,
( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
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(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(f81,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = 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(f93,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
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(f109,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| 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(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(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(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(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
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f59]) ).
fof(f166,plain,
( ~ sP3
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f167,plain,
( ~ sP2
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f60]) ).
fof(f168,plain,
( ~ sP2
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f169,plain,
( ~ sP1
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f170,plain,
( ~ sP1
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f180,plain,
( sP0
| e2 = op(e2,e3)
| e1 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f181,plain,
( sP1
| e2 != op(e2,e2)
| e2 != op(e2,e1)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f182,plain,
( sP1
| e2 = op(e2,e2)
| e2 != op(e2,e1)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f183,plain,
( sP1
| e2 != op(e2,e2)
| e1 = op(e1,e2)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f184,plain,
( sP1
| e2 = op(e2,e2)
| e1 = op(e1,e2)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f185,plain,
( sP1
| e2 != op(e2,e2)
| e2 != op(e2,e1)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f186,plain,
( sP1
| e2 = op(e2,e2)
| e2 != op(e2,e1)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f187,plain,
( sP1
| e2 != op(e2,e2)
| e1 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f188,plain,
( sP1
| e2 = op(e2,e2)
| e1 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f189,plain,
( sP2
| e1 != op(e1,e2)
| e1 != op(e1,e1)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f190,plain,
( sP2
| e2 = op(e2,e1)
| e1 != op(e1,e1)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f191,plain,
( sP2
| e1 != op(e1,e2)
| e1 = op(e1,e1)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f192,plain,
( sP2
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f193,plain,
( sP2
| e1 != op(e1,e2)
| e1 != op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f194,plain,
( sP2
| e2 = op(e2,e1)
| e1 != op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f195,plain,
( sP2
| e1 != op(e1,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f196,plain,
( sP2
| e2 = op(e2,e1)
| e1 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f198,plain,
( sP3
| e2 = op(e2,e0)
| e0 != op(e0,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f199,plain,
( sP3
| e0 != op(e0,e2)
| e1 = op(e1,e0)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f200,plain,
( sP3
| e2 = op(e2,e0)
| e1 = op(e1,e0)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f202,plain,
( sP3
| e2 = op(e2,e0)
| e0 != op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f203,plain,
( sP3
| e0 != op(e0,e2)
| e1 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f204,plain,
( sP3
| e2 = op(e2,e0)
| e1 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f205,plain,
( e3 != op(e2,e2)
| e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f206,plain,
( e2 != op(e3,e3)
| e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f207,plain,
( e3 != op(e1,e1)
| e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f208,plain,
( e1 != op(e3,e3)
| e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
| e0 != op(op(e3,e3),op(e3,e3)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f209,plain,
( e2 != op(e1,e1)
| e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e0 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f210,plain,
( e1 != op(e2,e2)
| e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e0 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f211,plain,
( e3 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e1 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f215,plain,
( op(e0,e0) != e2
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e1 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f217,plain,
( e3 != op(e1,e1)
| e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
| e2 != op(op(e1,e1),op(e1,e1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f219,plain,
( op(e0,e0) != e3
| e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f221,plain,
( op(e0,e0) != e1
| e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
| e2 != op(op(e0,e0),op(e0,e0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f224,plain,
( e1 != op(e2,e2)
| e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
| e3 != op(op(e2,e2),op(e2,e2)) ),
inference(cnf_transformation,[],[f49]) ).
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_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_62,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(cnf_transformation,[],[f65]) ).
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_66,plain,
( ( op(e3,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f109]) ).
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_82,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f93]) ).
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_94,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnf_transformation,[],[f81]) ).
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_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_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_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(e3,e0) = e3 )
| ~ sP3 ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_152,plain,
( ~ sP3
| ( op(e0,e3) != e0 ) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_153,plain,
( ( op(e3,e1) = e3 )
| ~ sP2 ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_154,plain,
( ~ sP2
| ( op(e1,e3) != e1 ) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_155,plain,
( ( op(e3,e2) = e3 )
| ~ sP1 ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_156,plain,
( ~ sP1
| ( op(e2,e3) != e2 ) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_159,plain,
( sP3
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_160,plain,
( sP3
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e0 )
| ( op(e0,e2) != e0 ) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_161,plain,
( sP3
| ( op(e2,e0) = e2 )
| ( op(e0,e0) = e0 )
| ( op(e0,e1) != e0 ) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_163,plain,
( sP3
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_164,plain,
( sP3
| ( op(e1,e0) = e1 )
| ( op(e0,e2) != e0 )
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_165,plain,
( sP3
| ( op(e2,e0) = e2 )
| ( op(e0,e1) != e0 )
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_167,plain,
( sP2
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_168,plain,
( sP2
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 )
| ( op(e1,e2) != e1 ) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_169,plain,
( sP2
| ( op(e2,e1) = e2 )
| ( op(e0,e1) = e0 )
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_170,plain,
( sP2
| ( op(e0,e1) = e0 )
| ( op(e1,e2) != e1 )
| ( op(e1,e1) != e1 ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_171,plain,
( sP2
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) != e1 ) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_172,plain,
( sP2
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e0) != e1 ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_173,plain,
( sP2
| ( op(e2,e1) = e2 )
| ( op(e1,e1) != e1 )
| ( op(e1,e0) != e1 ) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_174,plain,
( sP2
| ( op(e1,e2) != e1 )
| ( op(e1,e1) != e1 )
| ( op(e1,e0) != e1 ) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_175,plain,
( sP1
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_176,plain,
( sP1
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e2,e2) != e2 ) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_177,plain,
( sP1
| ( op(e2,e2) = e2 )
| ( op(e0,e2) = e0 )
| ( op(e2,e1) != e2 ) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_178,plain,
( sP1
| ( op(e0,e2) = e0 )
| ( op(e2,e2) != e2 )
| ( op(e2,e1) != e2 ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_179,plain,
( sP1
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e2,e0) != e2 ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_180,plain,
( sP1
| ( op(e1,e2) = e1 )
| ( op(e2,e2) != e2 )
| ( op(e2,e0) != e2 ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_181,plain,
( sP1
| ( op(e2,e2) = e2 )
| ( op(e2,e1) != e2 )
| ( op(e2,e0) != e2 ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_182,plain,
( sP1
| ( op(e2,e2) != e2 )
| ( op(e2,e1) != e2 )
| ( op(e2,e0) != e2 ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_183,plain,
( sP0
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_191,plain,
( ( op(e2,e2) != e3 )
| ( op(op(e2,e2),op(e2,e2)) != e0 )
| ( op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) != e1 ) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_192,plain,
( ( op(e3,e3) != e2 )
| ( op(op(e3,e3),op(e3,e3)) != e0 )
| ( op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) != e1 ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_193,plain,
( ( op(e1,e1) != e3 )
| ( op(op(e1,e1),op(e1,e1)) != e0 )
| ( op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) != e2 ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_194,plain,
( ( op(e3,e3) != e1 )
| ( op(op(e3,e3),op(e3,e3)) != e0 )
| ( op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) != e2 ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_195,plain,
( ( op(e1,e1) != e2 )
| ( op(op(e1,e1),op(e1,e1)) != e0 )
| ( op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) != e3 ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_196,plain,
( ( op(e2,e2) != e1 )
| ( op(op(e2,e2),op(e2,e2)) != e0 )
| ( op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) != e3 ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_197,plain,
( ( op(e2,e2) != e3 )
| ( op(op(e2,e2),op(e2,e2)) != e1 )
| ( op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) != e0 ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_201,plain,
( ( op(e0,e0) != e2 )
| ( op(op(e0,e0),op(e0,e0)) != e1 )
| ( op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) != e3 ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_203,plain,
( ( op(e1,e1) != e3 )
| ( op(op(e1,e1),op(e1,e1)) != e2 )
| ( op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) != e0 ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_205,plain,
( ( op(e0,e0) != e3 )
| ( op(op(e0,e0),op(e0,e0)) != e2 )
| ( op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) != e1 ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_207,plain,
( ( op(e0,e0) != e1 )
| ( op(op(e0,e0),op(e0,e0)) != e2 )
| ( op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) != e3 ) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_210,plain,
( ( op(e2,e2) != e1 )
| ( op(op(e2,e2),op(e2,e2)) != e3 )
| ( op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) != e0 ) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_221,plain,
( sP1
| ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_175,c_175,c_176]) ).
tcf(c_222,plain,
( sP1
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(renaming,[status(thm)],[c_221]) ).
tcf(c_223,plain,
( sP2
| ( op(e2,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_167,c_167,c_169]) ).
tcf(c_225,plain,
( sP3
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_159,c_159,c_163]) ).
tcf(c_233,plain,
( sP1
| ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_179,c_179,c_180]) ).
tcf(c_234,plain,
( sP1
| ( op(e1,e2) = e1 )
| ( op(e2,e0) != e2 ) ),
inference(renaming,[status(thm)],[c_233]) ).
tcf(c_235,plain,
( sP1
| ( op(e2,e1) != e2 )
| ( op(e0,e2) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_177,c_177,c_178]) ).
tcf(c_236,plain,
( sP1
| ( op(e0,e2) = e0 )
| ( op(e2,e1) != e2 ) ),
inference(renaming,[status(thm)],[c_235]) ).
tcf(c_237,plain,
( sP1
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_176,c_222]) ).
tcf(c_239,plain,
( sP2
| ( op(e2,e1) = e2 )
| ( op(e1,e0) != e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_171,c_171,c_173]) ).
tcf(c_241,plain,
( sP2
| ( op(e2,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_169,c_223]) ).
tcf(c_243,plain,
( sP2
| ( op(e1,e2) != e1 )
| ( op(e0,e1) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_168,c_168,c_170]) ).
tcf(c_244,plain,
( sP2
| ( op(e0,e1) = e0 )
| ( op(e1,e2) != e1 ) ),
inference(renaming,[status(thm)],[c_243]) ).
tcf(c_245,plain,
( sP3
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_163,c_225]) ).
tcf(c_247,plain,
( sP3
| ( op(e2,e0) = e2 )
| ( op(e0,e1) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_161,c_161,c_165]) ).
tcf(c_249,plain,
( sP3
| ( op(e1,e0) = e1 )
| ( op(e0,e2) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_160,c_160,c_164]) ).
tcf(c_257,plain,
( sP1
| ( op(e2,e0) != e2 )
| ( op(e2,e1) != e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_181,c_181,c_182]) ).
tcf(c_258,plain,
( sP1
| ( op(e2,e1) != e2 )
| ( op(e2,e0) != e2 ) ),
inference(renaming,[status(thm)],[c_257]) ).
tcf(c_259,plain,
( sP1
| ( op(e1,e2) = e1 )
| ( op(e2,e0) != e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_180,c_234]) ).
tcf(c_261,plain,
( sP1
| ( op(e0,e2) = e0 )
| ( op(e2,e1) != e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_178,c_236]) ).
tcf(c_263,plain,
( sP2
| ( op(e2,e1) = e2 )
| ( op(e1,e0) != e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_173,c_239]) ).
tcf(c_265,plain,
( sP2
| ( op(e1,e0) != e1 )
| ( op(e1,e2) != e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_172,c_172,c_174]) ).
tcf(c_266,plain,
( sP2
| ( op(e1,e2) != e1 )
| ( op(e1,e0) != e1 ) ),
inference(renaming,[status(thm)],[c_265]) ).
tcf(c_267,plain,
( sP2
| ( op(e0,e1) = e0 )
| ( op(e1,e2) != e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_170,c_244]) ).
tcf(c_269,plain,
( sP3
| ( op(e2,e0) = e2 )
| ( op(e0,e1) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_165,c_247]) ).
tcf(c_271,plain,
( sP3
| ( op(e1,e0) = e1 )
| ( op(e0,e2) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_164,c_249]) ).
tcf(c_277,plain,
( sP1
| ( op(e2,e0) != e2 )
| ( op(e2,e1) != e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_182,c_258]) ).
tcf(c_278,plain,
( sP1
| ( op(e2,e1) != e2 )
| ( op(e2,e0) != e2 ) ),
inference(renaming,[status(thm)],[c_277]) ).
tcf(c_279,plain,
( sP2
| ( op(e1,e2) != e1 )
| ( op(e1,e0) != e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_174,c_266]) ).
tcf(c_1758,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e3) != e0 )
| ( op(e0,e2) != e0 ) ),
inference(resolution,[status(thm)],[c_271,c_152]) ).
tcf(c_1768,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e0) = e1 )
| ( op(e0,e2) != e0 ) ),
inference(resolution,[status(thm)],[c_271,c_151]) ).
tcf(c_3816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_4705,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_237,c_155]) ).
tcf(c_4715,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_241,c_153]) ).
tcf(c_4725,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(superposition,[status(thm)],[c_245,c_151]) ).
tcf(c_4808,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_54,c_127]) ).
tcf(c_4853,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_4854,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_4938,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e3,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_4705,c_142]) ).
tcf(c_4939,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_4705,c_140]) ).
tcf(c_4940,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e2,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_4705,c_114]) ).
tcf(c_4941,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e1,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_4705,c_113]) ).
tcf(c_4964,plain,
( ( op(e2,e1) = e2 )
| ( op(e0,e1) = e0 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_4715,c_139]) ).
tcf(c_4966,plain,
( ( op(e2,e1) = e2 )
| ( op(e0,e1) = e0 )
| ( op(e1,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_4715,c_107]) ).
tcf(c_4986,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_4725,c_102]) ).
tcf(c_4987,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_4725,c_101]) ).
tcf(c_4988,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_4725,c_99]) ).
tcf(c_5065,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_5088,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_59,c_136]) ).
tcf(c_5090,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_59,c_112]) ).
tcf(c_5122,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) != e3 ) ),
inference(superposition,[status(thm)],[c_60,c_118]) ).
tcf(c_5190,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_5226,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_62,c_4938]) ).
tcf(c_5227,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_4715,c_4938]) ).
tcf(c_5244,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_4725,c_4939]) ).
tcf(c_5260,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_59,c_4940]) ).
tcf(c_5272,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_55,c_4941]) ).
tcf(c_5295,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_4725,c_4964]) ).
tcf(c_5356,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_53,c_4987]) ).
tcf(c_5410,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_64,c_141]) ).
tcf(c_5413,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e0,e3) != e3 ) ),
inference(superposition,[status(thm)],[c_64,c_117]) ).
tcf(c_5599,plain,
( ( e0 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_68,c_66]) ).
tcf(c_5620,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5599,c_145]) ).
tcf(c_5774,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e3 ) ),
inference(superposition,[status(thm)],[c_72,c_4964]) ).
tcf(c_5870,plain,
! [X0: $i] :
( ( op(e0,e1) = op(e0,e2) )
| ( op(e0,e2) != X0 )
| ( op(e0,e1) != X0 ) ),
inference(instantiation,[status(thm)],[c_3816]) ).
tcf(c_5871,plain,
( ( op(e0,e1) = op(e0,e2) )
| ( op(e0,e2) != e0 )
| ( op(e0,e1) != e0 ) ),
inference(instantiation,[status(thm)],[c_5870]) ).
tcf(c_5968,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e3) != e0 ) ),
inference(superposition,[status(thm)],[c_73,c_115]) ).
tcf(c_6014,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e1 )
| ~ sP2 ),
inference(superposition,[status(thm)],[c_75,c_154]) ).
tcf(c_6052,plain,
( ( e0 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_76,c_74]) ).
tcf(c_6079,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6052,c_145]) ).
tcf(c_6148,plain,
( ( e1 = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(superposition,[status(thm)],[c_78,c_76]) ).
tcf(c_6152,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_6168,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_6152,c_150]) ).
tcf(c_6182,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6148,c_148]) ).
tcf(c_6213,plain,
( ( e2 = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(superposition,[status(thm)],[c_79,c_77]) ).
tcf(c_6221,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_6240,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6213,c_150]) ).
tcf(c_6262,plain,
( ( op(e2,e1) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e3 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e3 ) ),
inference(superposition,[status(thm)],[c_80,c_4938]) ).
tcf(c_6264,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_6350,plain,
( ( e0 = e3 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_82,c_4705]) ).
tcf(c_6364,plain,
( ( op(e2,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6350,c_147]) ).
tcf(c_6434,plain,
( ( e1 = e3 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_84,c_4705]) ).
tcf(c_6448,plain,
( ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6434,c_149]) ).
tcf(c_6555,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e3,e0) != e2 ) ),
inference(superposition,[status(thm)],[c_86,c_140]) ).
tcf(c_6606,plain,
( ( e2 = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(superposition,[status(thm)],[c_87,c_85]) ).
tcf(c_6644,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6606,c_150]) ).
tcf(c_6663,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_6670,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_6704,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_6663,c_149]) ).
tcf(c_6757,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_6785,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_6820,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_6785,c_145]) ).
tcf(c_6968,plain,
( ( e2 = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(superposition,[status(thm)],[c_94,c_64]) ).
tcf(c_6987,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6968,c_150]) ).
tcf(c_7559,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e2,e0) != e2 ) ),
inference(superposition,[status(thm)],[c_5227,c_133]) ).
tcf(c_7560,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e1,e1) != e2 ) ),
inference(superposition,[status(thm)],[c_5227,c_106]) ).
tcf(c_7561,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e1) != e2 ) ),
inference(superposition,[status(thm)],[c_5227,c_104]) ).
tcf(c_7608,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e1,e0) != e2 ) ),
inference(superposition,[status(thm)],[c_5244,c_100]) ).
tcf(c_7609,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) != e2 ) ),
inference(superposition,[status(thm)],[c_5244,c_98]) ).
tcf(c_7642,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e2) != e3 )
| ( op(op(e3,e3),e3) != e1 )
| ( op(op(e2,e2),op(e2,e2)) != e0 ) ),
inference(superposition,[status(thm)],[c_59,c_191]) ).
tcf(c_7733,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 )
| ( op(e1,e1) != e3 )
| ( op(op(e3,e3),e3) != e2 )
| ( op(op(e1,e1),op(e1,e1)) != e0 ) ),
inference(superposition,[status(thm)],[c_54,c_193]) ).
tcf(c_7846,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e1,e1) != e2 ) ),
inference(superposition,[status(thm)],[c_5272,c_130]) ).
tcf(c_7919,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e0,e1) = e0 )
| ( op(e1,e1) != e2 ) ),
inference(superposition,[status(thm)],[c_5295,c_106]) ).
tcf(c_8344,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e2) != e3 )
| ( op(op(e3,e3),e3) != e0 )
| ( op(op(e2,e2),op(e2,e2)) != e1 ) ),
inference(superposition,[status(thm)],[c_59,c_197]) ).
fof(f54,definition,
( ~ sP0
| ( op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ~ sP1
| ( op(e2,e3) != e2
& op(e3,e2) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ~ sP2
| ( op(e1,e3) != e1
& op(e3,e1) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ~ sP3
| ( op(e0,e3) != e0
& op(e3,e0) = e3 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f58,plain,
( ( sP0
| ( op(e3,e2) != e3
& op(e2,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e3) = e0 ) )
& ( sP1
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e2) = e0 ) )
& ( sP2
| ( op(e1,e2) != e1
& op(e2,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e1) = e0 ) )
& ( sP3
| ( op(e0,e2) != e0
& op(e2,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).
fof(f62,plain,
( ~ sP0
| ( op(e3,e3) != e3
& op(e3,e3) = e3 ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f171,plain,
( ~ sP0
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f172,plain,
( ~ sP0
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_157,plain,
( ( op(e3,e3) = e3 )
| ~ sP0 ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_158,plain,
( ~ sP0
| ( op(e3,e3) != e3 ) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_215,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_157,c_157,c_158]) ).
tcf(c_219,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_183,c_183,c_215]) ).
tcf(c_220,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(renaming,[status(thm)],[c_219]) ).
tcf(c_4897,plain,
( ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 )
| ~ sP1 ),
inference(superposition,[status(thm)],[c_220,c_156]) ).
tcf(c_4898,plain,
( ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e2,e2) != e2 ) ),
inference(superposition,[status(thm)],[c_220,c_138]) ).
tcf(c_4899,plain,
( ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e2,e1) != e2 ) ),
inference(superposition,[status(thm)],[c_220,c_137]) ).
tcf(c_4900,plain,
( ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e2,e0) != e2 ) ),
inference(superposition,[status(thm)],[c_220,c_135]) ).
tcf(c_4901,plain,
( ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e1,e3) != e2 ) ),
inference(superposition,[status(thm)],[c_220,c_118]) ).
tcf(c_4902,plain,
( ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e0,e3) != e2 ) ),
inference(superposition,[status(thm)],[c_220,c_116]) ).
tcf(c_4927,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_237,c_4897]) ).
tcf(c_6189,plain,
( ( op(e1,e2) = e1 )
| ~ sP2
| ( op(e1,e0) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_6014,c_153,c_154,c_124,c_1758,c_1768,c_4899,c_4938,c_4964,c_5871]) ).
tcf(c_6190,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e0) = e1 )
| ~ sP2 ),
inference(renaming,[status(thm)],[c_6189]) ).
tcf(c_6197,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_241,c_6190]) ).
tcf(c_6609,plain,
( ( e2 = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(superposition,[status(thm)],[c_87,c_220]) ).
tcf(c_6624,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6609,c_150]) ).
tcf(c_7270,plain,
( ( e1 = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_4927,c_79]) ).
tcf(c_7271,plain,
( ( e1 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_4927,c_77]) ).
tcf(c_7277,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e1,e1) != e1 ) ),
inference(superposition,[status(thm)],[c_4927,c_131]) ).
tcf(c_7278,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e1,e0) != e1 ) ),
inference(superposition,[status(thm)],[c_4927,c_129]) ).
tcf(c_7310,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7271,c_148]) ).
tcf(c_7317,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7270,c_149]) ).
tcf(c_7915,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_5295,c_4899]) ).
tcf(c_8088,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(superposition,[status(thm)],[c_5356,c_4900]) ).
tcf(c_8527,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_8344,c_8088,c_7919,c_7915,c_7846,c_7733,c_7642,c_7609,c_7608,c_7561,c_7560,c_7559,c_7317,c_7310,c_7278,c_7277,c_6987,c_6820,c_6757,c_6704,c_6670,c_6644,c_6624,c_6555,c_6448,c_6364,c_6264,c_6262,c_6240,c_6221,c_6197,c_6182,c_6168,c_6079,c_5968,c_5774,c_5620,c_5413,c_5410,c_5260,c_5244,c_5227,c_5226,c_5190,c_5122,c_5090,c_5088,c_5065,c_4988,c_4987,c_4986,c_4966,c_4964,c_4941,c_4939,c_4902,c_4901,c_4900,c_4899,c_4898,c_4854,c_4853,c_4808,c_4705,c_4715,c_4725,c_279,c_278,c_271,c_269,c_267,c_263,c_261,c_259,c_245,c_237,c_220,c_210,c_207,c_205,c_203,c_201,c_196,c_195,c_194,c_192,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_139,c_138,c_136,c_135,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_121,c_120,c_119,c_117,c_116,c_115,c_114,c_113,c_112,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_101,c_94,c_91,c_90,c_89,c_88,c_84,c_79,c_78,c_74,c_71,c_70,c_69,c_64,c_59,c_56,c_54,c_53,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG135+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.35 % Computer : n008.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Fri Sep 25 04:52:54 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 2.72/1.27 % SZS status Started for theBenchmark.p
% 2.72/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.72/1.27
% 2.72/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.72/1.27
% 2.72/1.27 % ------ iProver source info
% 2.72/1.27
% 2.72/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.72/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.72/1.27 % git: non_committed_changes: false
% 2.72/1.27
% 2.72/1.27 % ------ Parsing...
% 2.72/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.72/1.27
% 2.72/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.72/1.27
% 2.72/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.72/1.27
% 2.72/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.72/1.27 % ------ Proving...
% 2.72/1.27 % ------ Problem Properties
% 2.72/1.27
% 2.72/1.27 %
% 2.72/1.27 % clauses 152
% 2.72/1.27 % conjectures 0
% 2.72/1.27 % EPR 6
% 2.72/1.27 % Horn 91
% 2.72/1.27 % unary 54
% 2.72/1.27 % binary 6
% 2.72/1.27 % lits 390
% 2.72/1.27 % lits eq 372
% 2.72/1.27 % fd_pure 0
% 2.72/1.27 % fd_pseudo 0
% 2.72/1.27 % fd_cond 0
% 2.72/1.27 % fd_pseudo_cond 0
% 2.72/1.27 % AC symbols 0
% 2.72/1.27
% 2.72/1.27 % ------ Schedule dynamic 5 is on
% 2.72/1.27
% 2.72/1.27 % ------ no conjectures: strip conj schedule
% 2.72/1.27
% 2.72/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.72/1.27
% 2.72/1.27
% 2.72/1.27 % ------
% 2.72/1.27 % Current options:
% 2.72/1.27 % ------
% 2.72/1.27
% 2.72/1.27
% 2.72/1.27 %
% 2.72/1.27
% 2.72/1.27 % ------ Proving...
% 2.72/1.27 %
% 2.72/1.27
% 2.72/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.72/1.27
% 2.72/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.72/1.27
% 2.72/1.27
%------------------------------------------------------------------------------