%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG061+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:47:59 AM UTC 2026
% Result : Theorem 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 95
% Syntax : Number of formulae : 460 ( 111 unt; 88 def)
% Number of atoms : 1672 (1112 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 1820 ( 608 ~; 809 |; 313 &)
% ( 90 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 90 ( 88 usr; 89 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( e4 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
~ ( ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ~ ( ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f15,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f59,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f62,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f123,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f141,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f143,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f144,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f160,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f161,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f162,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f163,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f165,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f166,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f169,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f171,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f172,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f173,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f175,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f178,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f180,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f184,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f188,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f191,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f193,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f195,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f196,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f197,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f198,plain,
e0 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f199,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f200,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f201,plain,
e1 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f202,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f203,plain,
e2 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f204,plain,
e3 != e4,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f205,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,definition,
( sP0_prd
<=> ( ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 )
| ( op(e0,op(e2,e0)) = e2
& op(e2,op(e2,e0)) != e0 )
| ( op(e0,op(e1,e0)) = e1
& op(e1,op(e1,e0)) != e0 )
| ( op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e0)) != e0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f210,definition,
( sP1_prd
<=> ( ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f211,definition,
( sP2_prd
<=> ( ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 )
| ( op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1
& op(e1,op(e1,e2)) != e2 )
| ( op(e2,op(e0,e2)) = e0
& op(e0,op(e0,e2)) != e2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f212,definition,
( sP3_prd
<=> ( ( op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e3)) != e3 )
| ( op(e3,op(e2,e3)) = e2
& op(e2,op(e2,e3)) != e3 )
| ( op(e3,op(e1,e3)) = e1
& op(e1,op(e1,e3)) != e3 )
| ( op(e3,op(e0,e3)) = e0
& op(e0,op(e0,e3)) != e3 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f213,definition,
( sP4_prd
<=> ( ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 )
| ( op(e4,op(e2,e4)) = e2
& op(e2,op(e2,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1
& op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0
& op(e0,op(e0,e4)) != e4 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f214,plain,
( ( ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 )
| sP4_prd )
& ( ( op(e3,op(e4,e3)) = e4
& op(e4,op(e4,e3)) != e3 )
| sP3_prd )
& ( ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 )
| sP2_prd )
& ( ( op(e1,op(e4,e1)) = e4
& op(e4,op(e4,e1)) != e1 )
| sP1_prd )
& ( ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 )
| sP0_prd )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f8,f213,f212,f211,f210,f209]) ).
fof(f215,plain,
( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f216,plain,
( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f223,plain,
( op(e1,op(e4,e1)) = e4
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f237,definition,
( sP6_prd
<=> ( ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f238,plain,
( sP1_prd
<=> ( ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f210,f237]) ).
fof(f239,plain,
( ( ( ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& ~ sP6_prd )
| sP1_prd )
& ( ( op(e1,op(e3,e1)) = e3
& op(e3,op(e3,e1)) != e1 )
| sP6_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f238]) ).
fof(f241,plain,
( op(e1,op(e3,e1)) = e3
| sP6_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f272,definition,
( sP11_prd
<=> ( ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f273,plain,
( sP6_prd
<=> ( ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| sP11_prd ) ),
inference(formula_renaming,[status(thm)],[f237,f272]) ).
fof(f274,plain,
( ( ( ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& ~ sP11_prd )
| sP6_prd )
& ( ( op(e1,op(e2,e1)) = e2
& op(e2,op(e2,e1)) != e1 )
| sP11_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f273]) ).
fof(f276,plain,
( op(e1,op(e2,e1)) = e2
| sP11_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f307,plain,
( ( ( ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) )
| sP11_prd )
& ( ( op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e1)) != e1 )
| ( op(e1,op(e0,e1)) = e0
& op(e0,op(e0,e1)) != e1 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f272]) ).
fof(f310,plain,
( op(e1,op(e1,e1)) != e1
| op(e1,op(e0,e1)) = e0
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f311,plain,
( op(e1,op(e1,e1)) = e1
| op(e1,op(e0,e1)) = e0
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f307]) ).
fof(f335,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f354,definition,
( sQ6_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ6_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f360,definition,
( sQ8_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ8_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f367,definition,
( sQ10_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ10_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f376,definition,
( sQ13_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ13_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f399,definition,
( sQ20_spl
<=> op(e0,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ20_spl
| op(e0,e4) = e0 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f408,definition,
( sQ23_spl
<=> op(e0,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ23_spl
| op(e0,e4) = e3 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ24_spl
<=> op(e0,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ24_spl
| op(e0,e4) = e4 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f418,definition,
( sQ26_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ26_spl
| op(e1,e0) = e1 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ27_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ27_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f431,definition,
( sQ30_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ30_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ31_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ31_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ32_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ32_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ33_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ33_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ34_spl
<=> op(e1,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f15,f431,f434,f437,f440,f443]) ).
fof(f447,definition,
( sQ35_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ35_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f449,plain,
( sQ35_spl
| op(e1,e2) != e0 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ36_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ36_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ37_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ37_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ38_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ38_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f463,definition,
( sQ40_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ40_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ41_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f469,definition,
( sQ42_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ42_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f475,definition,
( sQ44_spl
<=> op(e1,e3) = e4 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ44_spl
| op(e1,e3) = e4 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f479,definition,
( sQ45_spl
<=> op(e1,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f482,definition,
( sQ46_spl
<=> op(e1,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ46_spl
| op(e1,e4) = e1 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ47_spl
<=> op(e1,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ47_spl
| op(e1,e4) = e2 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ48_spl
<=> op(e1,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ48_spl
| op(e1,e4) = e3 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ49_spl
<=> op(e1,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ49_spl
| op(e1,e4) = e4 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f501,definition,
( sQ52_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f504,definition,
( sQ53_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ53_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f511,definition,
( sQ55_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ55_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ56_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ56_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ57_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ57_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,definition,
( sQ58_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ58_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ59_spl
<=> op(e2,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ59_spl
| op(e2,e1) = e4 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f20,f511,f514,f517,f520,f523]) ).
fof(f527,definition,
( sQ60_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ60_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,definition,
( sQ61_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ61_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ62_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ62_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
( sQ63_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f539,definition,
( sQ64_spl
<=> op(e2,e2) = e4 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ64_spl
| op(e2,e2) = e4 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f21,f527,f530,f533,f536,f539]) ).
fof(f552,definition,
( sQ68_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ68_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f559,definition,
( sQ70_spl
<=> op(e2,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f565,definition,
( sQ72_spl
<=> op(e2,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( ~ sQ72_spl
| op(e2,e4) = e2 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ73_spl
<=> op(e2,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ73_spl
| op(e2,e4) = e3 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f584,definition,
( sQ78_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ78_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f591,definition,
( sQ80_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ80_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ81_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f597,definition,
( sQ82_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ82_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ83_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f603,definition,
( sQ84_spl
<=> op(e3,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ84_spl
| op(e3,e1) = e4 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f25,f591,f594,f597,f600,f603]) ).
fof(f607,definition,
( sQ85_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ85_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f623,definition,
( sQ90_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ90_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,definition,
( sQ91_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( ~ sQ91_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f632,definition,
( sQ93_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ93_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f639,definition,
( sQ95_spl
<=> op(e3,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ95_spl
| op(e3,e4) = e0 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f645,definition,
( sQ97_spl
<=> op(e3,e4) = e2 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ97_spl
| op(e3,e4) = e2 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,definition,
( sQ98_spl
<=> op(e3,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f661,definition,
( sQ102_spl
<=> op(e4,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( ~ sQ102_spl
| op(e4,e0) = e2 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f677,definition,
( sQ107_spl
<=> op(e4,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ107_spl
| op(e4,e1) = e2 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,definition,
( sQ108_spl
<=> op(e4,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ108_spl
| op(e4,e1) = e3 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ109_spl
<=> op(e4,e1) = e4 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ109_spl
| op(e4,e1) = e4 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f687,definition,
( sQ110_spl
<=> op(e4,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f693,definition,
( sQ112_spl
<=> op(e4,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ112_spl
| op(e4,e2) = e2 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ113_spl
<=> op(e4,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ113_spl
| op(e4,e2) = e3 ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f719,definition,
( sQ120_spl
<=> op(e4,e4) = e0 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ120_spl
| op(e4,e4) = e0 ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,definition,
( sQ121_spl
<=> op(e4,e4) = e1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( ~ sQ121_spl
| op(e4,e4) = e1 ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f728,definition,
( sQ123_spl
<=> op(e4,e4) = e3 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ123_spl
| op(e4,e4) = e3 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f735,definition,
( sQ125_spl
<=> unit = e0 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ125_spl
| unit = e0 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,definition,
( sQ126_spl
<=> unit = e1 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ126_spl
| unit = e1 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,definition,
( sQ127_spl
<=> unit = e2 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ127_spl
| unit = e2 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ128_spl
<=> unit = e3 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ128_spl
| unit = e3 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ129_spl
<=> unit = e4 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ129_spl
| unit = e4 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f44,f735,f738,f741,f744,f747]) ).
fof(f763,plain,
( sQ46_spl
| sQ41_spl
| sQ36_spl
| sQ31_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f57,f418,f434,f450,f466,f482]) ).
fof(f765,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f59,f421,f437,f453,f469,f485]) ).
fof(f768,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f62,f360,f440,f520,f600,f680]) ).
fof(f792,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f86,f399,f479,f559,f639,f719]) ).
fof(f798,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f92,f408,f488,f568,f648,f728]) ).
fof(f801,plain,
( sQ120_spl
| sQ90_spl
| sQ60_spl
| sQ30_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f215,f335,f431,f527,f623,f719]) ).
fof(f802,plain,
( sQ121_spl
| sQ91_spl
| sQ61_spl
| sQ31_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f216,f338,f434,f530,f626,f722]) ).
fof(f817,definition,
( sQ133_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f824,definition,
( sQ135_spl
<=> op(e1,op(e4,e1)) = e4 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( ~ sQ135_spl
| op(e1,op(e4,e1)) = e4 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( sQ135_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f223,f817,f824]) ).
fof(f871,definition,
( sQ147_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f878,definition,
( sQ149_spl
<=> op(e1,op(e3,e1)) = e3 ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ149_spl
| op(e1,op(e3,e1)) = e3 ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,plain,
( sQ149_spl
| sQ147_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f241,f817,f871,f878]) ).
fof(f933,definition,
( sQ161_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f940,definition,
( sQ163_spl
<=> op(e1,op(e2,e1)) = e2 ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( ~ sQ163_spl
| op(e1,op(e2,e1)) = e2 ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,plain,
( sQ163_spl
| sQ161_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f276,f871,f933,f940]) ).
fof(f1000,definition,
( sQ176_spl
<=> op(e1,op(e1,e1)) = e1 ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1005,definition,
( sQ177_spl
<=> op(e1,op(e0,e1)) = e0 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
( ~ sQ177_spl
| op(e1,op(e0,e1)) = e0 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( ~ sQ176_spl
| sQ177_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f310,f933,f1005,f1000]) ).
fof(f1009,plain,
( sQ176_spl
| sQ177_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f311,f933,f1005,f1000]) ).
fof(f1066,plain,
e0 = op(e1,e2),
inference(backward_demodulation,[status(thm)],[f206,f205]) ).
fof(f1067,plain,
e3 = op(e2,op(op(e1,e1),op(e1,e1))),
inference(forward_demodulation,[status(thm)],[f206,f207]) ).
fof(f1068,plain,
e3 != op(e2,e4),
inference(backward_demodulation,[status(thm)],[f1076,f173]) ).
fof(f1069,plain,
e3 != op(e2,e3),
inference(backward_demodulation,[status(thm)],[f1076,f172]) ).
fof(f1070,plain,
op(e2,e1) != e3,
inference(backward_demodulation,[status(thm)],[f1076,f169]) ).
fof(f1071,plain,
op(e2,e0) != e3,
inference(backward_demodulation,[status(thm)],[f1076,f166]) ).
fof(f1072,plain,
e3 != op(e4,e2),
inference(backward_demodulation,[status(thm)],[f1076,f123]) ).
fof(f1075,plain,
op(e0,e2) != e3,
inference(backward_demodulation,[status(thm)],[f1076,f116]) ).
fof(f1076,plain,
e3 = op(e2,e2),
inference(forward_demodulation,[status(thm)],[f206,f1067]) ).
fof(f1077,plain,
e2 = op(op(e1,e1),e4),
inference(backward_demodulation,[status(thm)],[f208,f206]) ).
fof(f1078,plain,
e4 != op(e1,e4),
inference(backward_demodulation,[status(thm)],[f208,f161]) ).
fof(f1079,plain,
e4 != op(e1,e3),
inference(backward_demodulation,[status(thm)],[f208,f160]) ).
fof(f1082,plain,
e4 != op(e4,e1),
inference(backward_demodulation,[status(thm)],[f208,f111]) ).
fof(f1083,plain,
e4 != op(e3,e1),
inference(backward_demodulation,[status(thm)],[f208,f110]) ).
fof(f1084,plain,
e4 != op(e2,e1),
inference(backward_demodulation,[status(thm)],[f208,f109]) ).
fof(f1102,plain,
( ~ sQ64_spl
| e3 = e4 ),
inference(forward_demodulation,[status(thm)],[f1076,f540]) ).
fof(f1103,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1102,f204]) ).
fof(f1104,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1119,plain,
( ~ sQ33_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f208,f441]) ).
fof(f1120,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1119,f204]) ).
fof(f1121,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f1120]) ).
fof(f1125,plain,
( ~ sQ62_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1076,f534]) ).
fof(f1126,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1125,f202]) ).
fof(f1127,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1126]) ).
fof(f1128,plain,
( ~ sQ32_spl
| e4 = e2 ),
inference(forward_demodulation,[status(thm)],[f208,f438]) ).
fof(f1129,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1128,f203]) ).
fof(f1130,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1129]) ).
fof(f1137,plain,
( ~ sQ61_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f1076,f531]) ).
fof(f1138,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1137,f200]) ).
fof(f1139,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1138]) ).
fof(f1140,plain,
( ~ sQ31_spl
| e4 = e1 ),
inference(forward_demodulation,[status(thm)],[f208,f435]) ).
fof(f1141,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1140,f201]) ).
fof(f1142,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1146,plain,
( ~ sQ60_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1076,f528]) ).
fof(f1147,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f197]) ).
fof(f1148,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1149,plain,
( ~ sQ30_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f208,f432]) ).
fof(f1150,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1149,f198]) ).
fof(f1151,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1150]) ).
fof(f1197,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| e4 = e3 ),
inference(forward_demodulation,[status(thm)],[f412,f409]) ).
fof(f1198,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1197,f204]) ).
fof(f1199,plain,
( ~ sQ23_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1198]) ).
fof(f1329,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f422,f419]) ).
fof(f1330,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1329,f199]) ).
fof(f1331,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1330]) ).
fof(f1357,plain,
( ~ sQ129_spl
| op(e2,e4) = e2 ),
inference(backward_demodulation,[status(thm)],[f748,f39]) ).
fof(f1394,plain,
e2 = op(e4,e4),
inference(forward_demodulation,[status(thm)],[f208,f1077]) ).
fof(f1395,plain,
( ~ sQ120_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f720,f1394]) ).
fof(f1396,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1395,f196]) ).
fof(f1397,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f1396]) ).
fof(f1413,plain,
( ~ sQ90_spl
| e0 != op(e3,e4) ),
inference(forward_demodulation,[status(thm)],[f624,f184]) ).
fof(f1414,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f640,f1413]) ).
fof(f1415,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1414]) ).
fof(f1416,plain,
( ~ sQ90_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1464,plain,
( ~ sQ35_spl
| e0 != op(e1,e4) ),
inference(forward_demodulation,[status(thm)],[f448,f163]) ).
fof(f1495,plain,
( ~ sQ35_spl
| e0 != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f448,f121]) ).
fof(f1538,plain,
( ~ sQ35_spl
| e0 != op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f448,f162]) ).
fof(f1539,plain,
( ~ sQ35_spl
| ~ sQ40_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f464,f1538]) ).
fof(f1540,plain,
( ~ sQ35_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1539]) ).
fof(f1541,plain,
( ~ sQ35_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1540]) ).
fof(f1594,plain,
( ~ sQ6_spl
| ~ sQ8_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f361,f355]) ).
fof(f1595,plain,
( ~ sQ6_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1594,f200]) ).
fof(f1596,plain,
( ~ sQ6_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1595]) ).
fof(f1642,plain,
op(e3,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1394,f144]) ).
fof(f1643,plain,
op(e2,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1394,f143]) ).
fof(f1644,plain,
op(e1,e4) != e2,
inference(forward_demodulation,[status(thm)],[f1394,f141]) ).
fof(f1647,plain,
( ~ sQ125_spl
| op(e0,e4) = e4 ),
inference(forward_demodulation,[status(thm)],[f736,f42]) ).
fof(f1651,plain,
( ~ sQ125_spl
| op(e3,e0) = e3 ),
inference(forward_demodulation,[status(thm)],[f736,f41]) ).
fof(f1656,plain,
op(e4,e0) != e2,
inference(forward_demodulation,[status(thm)],[f1394,f188]) ).
fof(f1661,plain,
op(e4,e2) != e2,
inference(forward_demodulation,[status(thm)],[f1394,f193]) ).
fof(f1663,plain,
op(e4,e1) != e2,
inference(forward_demodulation,[status(thm)],[f1394,f191]) ).
fof(f1670,plain,
( ~ sQ121_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f1394,f723]) ).
fof(f1671,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1670,f199]) ).
fof(f1672,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1671]) ).
fof(f1680,plain,
( sQ35_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f1066,f449]) ).
fof(f1681,plain,
( sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1680]) ).
fof(f1682,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f1681]) ).
fof(f1690,plain,
( ~ sQ36_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f1066,f451]) ).
fof(f1691,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1690,f195]) ).
fof(f1692,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f1691]) ).
fof(f1747,plain,
e0 != op(e3,e2),
inference(forward_demodulation,[status(thm)],[f1066,f120]) ).
fof(f1748,plain,
( ~ sQ85_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f608,f1747]) ).
fof(f1749,plain,
( ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1748]) ).
fof(f1750,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f1749]) ).
fof(f1755,plain,
( ~ sQ55_spl
| e0 != op(e2,e4) ),
inference(backward_demodulation,[status(thm)],[f512,f171]) ).
fof(f1771,plain,
( ~ sQ55_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f512,f112]) ).
fof(f1772,plain,
( ~ sQ55_spl
| ~ sQ80_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f592,f1771]) ).
fof(f1773,plain,
( ~ sQ55_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1772]) ).
fof(f1774,plain,
( ~ sQ55_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1773]) ).
fof(f1778,plain,
op(e0,e2) != e0,
inference(forward_demodulation,[status(thm)],[f1066,f115]) ).
fof(f1795,plain,
( ~ sQ126_spl
| op(e4,e1) = e4 ),
inference(backward_demodulation,[status(thm)],[f739,f43]) ).
fof(f1809,plain,
( ~ sQ78_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f585,f175]) ).
fof(f1823,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f505,f1071]) ).
fof(f1824,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f1823]) ).
fof(f1844,plain,
( ~ sQ37_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f1066,f454]) ).
fof(f1845,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1844,f196]) ).
fof(f1846,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1845]) ).
fof(f1877,plain,
( ~ sQ20_spl
| ~ sQ24_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f412,f400]) ).
fof(f1878,plain,
( ~ sQ20_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1877,f198]) ).
fof(f1879,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1878]) ).
fof(f1886,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f368,f1778]) ).
fof(f1887,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f1886]) ).
fof(f1894,plain,
( ~ sQ126_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1795,f683,f738]) ).
fof(f1947,plain,
( ~ sQ35_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1464,f479,f447]) ).
fof(f1963,plain,
( ~ sQ38_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1066,f457]) ).
fof(f1964,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1963,f197]) ).
fof(f1965,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1964]) ).
fof(f2022,plain,
( ~ sQ127_spl
| op(e2,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f742,f39]) ).
fof(f2033,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f1070]) ).
fof(f2034,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f2033]) ).
fof(f2048,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f339,f336]) ).
fof(f2049,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2048,f195]) ).
fof(f2050,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2049]) ).
fof(f2103,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f566,f1643]) ).
fof(f2104,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f2103]) ).
fof(f2129,plain,
( ~ sQ127_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f2022,f533,f741]) ).
fof(f2157,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f633,f627]) ).
fof(f2158,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2157,f200]) ).
fof(f2159,plain,
( ~ sQ91_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f2158]) ).
fof(f2192,plain,
( ~ sQ102_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f662,f1656]) ).
fof(f2193,plain,
( ~ sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2192]) ).
fof(f2194,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f2193]) ).
fof(f2215,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f646,f1642]) ).
fof(f2216,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2234,plain,
( ~ sQ57_spl
| op(e2,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f518,f165]) ).
fof(f2276,plain,
( ~ sQ128_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f745,f41]) ).
fof(f2314,plain,
( ~ sQ123_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f1394,f729]) ).
fof(f2315,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2314,f202]) ).
fof(f2316,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f2315]) ).
fof(f2318,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f1079]) ).
fof(f2319,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2337,plain,
( ~ sQ59_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f524,f1084]) ).
fof(f2338,plain,
( ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2337]) ).
fof(f2339,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f2338]) ).
fof(f2352,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f1082]) ).
fof(f2353,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f2352]) ).
fof(f2360,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f1661]) ).
fof(f2361,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f2360]) ).
fof(f2373,plain,
( ~ sQ91_spl
| op(e1,e3) != e1 ),
inference(backward_demodulation,[status(thm)],[f627,f130]) ).
fof(f2374,plain,
( ~ sQ91_spl
| op(e3,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f627,f180]) ).
fof(f2384,plain,
( ~ sQ35_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1495,f687,f447]) ).
fof(f2447,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f1644]) ).
fof(f2448,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f2447]) ).
fof(f2495,plain,
( ~ sQ73_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f569,f1068]) ).
fof(f2496,plain,
( ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2495]) ).
fof(f2497,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f2496]) ).
fof(f2514,plain,
( ~ sQ128_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f2276,f632,f744]) ).
fof(f2523,plain,
( ~ sQ128_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f745,f40]) ).
fof(f2549,plain,
( ~ sQ91_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2373,f466,f626]) ).
fof(f2550,plain,
( ~ sQ91_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f2374,f594,f626]) ).
fof(f2589,plain,
( ~ sQ49_spl
| e4 != e4 ),
inference(forward_demodulation,[status(thm)],[f492,f1078]) ).
fof(f2590,plain,
( ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2589]) ).
fof(f2591,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f2590]) ).
fof(f2629,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f1663]) ).
fof(f2630,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f2629]) ).
fof(f2645,plain,
( ~ sQ56_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f515,f106]) ).
fof(f2685,plain,
( ~ sQ125_spl
| op(e3,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f736,f41]) ).
fof(f2688,plain,
( ~ sQ125_spl
| op(e0,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f736,f36]) ).
fof(f2689,plain,
( ~ sQ125_spl
| op(e1,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f736,f37]) ).
fof(f2695,plain,
( ~ sQ125_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1647,f411,f735]) ).
fof(f2696,plain,
( ~ sQ125_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1651,f584,f735]) ).
fof(f2787,plain,
( ~ sQ113_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f697,f1072]) ).
fof(f2788,plain,
( ~ sQ113_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2787]) ).
fof(f2789,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f2788]) ).
fof(f2817,plain,
( ~ sQ55_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f1755,f559,f511]) ).
fof(f2823,plain,
( ~ sQ48_spl
| ~ sQ46_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f483,f489]) ).
fof(f2824,plain,
( ~ sQ48_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2823,f200]) ).
fof(f2825,plain,
( ~ sQ48_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2824]) ).
fof(f2828,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f1069]) ).
fof(f2829,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f2828]) ).
fof(f2831,plain,
( ~ sQ57_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2234,f501,f517]) ).
fof(f2904,plain,
( ~ sQ129_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1357,f565,f747]) ).
fof(f3003,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f1075]) ).
fof(f3004,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f3003]) ).
fof(f3067,plain,
( ~ sQ90_spl
| ~ sQ128_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f2523,f624]) ).
fof(f3068,plain,
( ~ sQ90_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3067,f197]) ).
fof(f3069,plain,
( ~ sQ90_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f3068]) ).
fof(f3142,plain,
( ~ sQ125_spl
| e3 != op(e3,e4) ),
inference(backward_demodulation,[status(thm)],[f2685,f178]) ).
fof(f3144,plain,
( ~ sQ125_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f2688,f354,f735]) ).
fof(f3162,plain,
( ~ sQ125_spl
| op(e2,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f736,f39]) ).
fof(f3165,plain,
( ~ sQ125_spl
| op(e0,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f736,f36]) ).
fof(f3199,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f1083]) ).
fof(f3200,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f3199]) ).
fof(f3215,plain,
( ~ sQ78_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1809,f600,f584]) ).
fof(f3265,plain,
( ~ sQ125_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3142,f648,f735]) ).
fof(f3271,plain,
( ~ sQ125_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f3162,f501,f735]) ).
fof(f3292,plain,
( ~ sQ177_spl
| ~ sQ125_spl
| op(e1,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f3165,f1006]) ).
fof(f3293,plain,
( ~ sQ177_spl
| ~ sQ125_spl
| e4 = e0 ),
inference(forward_demodulation,[status(thm)],[f208,f3292]) ).
fof(f3294,plain,
( ~ sQ177_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3293,f198]) ).
fof(f3295,plain,
( ~ sQ177_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3294]) ).
fof(f3438,plain,
( ~ sQ163_spl
| ~ sQ55_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f512,f941]) ).
fof(f3439,plain,
( ~ sQ163_spl
| ~ sQ55_spl
| ~ sQ125_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f2689,f3438]) ).
fof(f3440,plain,
( ~ sQ163_spl
| ~ sQ55_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3439,f199]) ).
fof(f3441,plain,
( ~ sQ163_spl
| ~ sQ55_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3440]) ).
fof(f3476,plain,
( ~ sQ56_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2645,f354,f514]) ).
fof(f3520,plain,
( ~ sQ135_spl
| ~ sQ108_spl
| op(e1,e3) = e4 ),
inference(forward_demodulation,[status(thm)],[f681,f825]) ).
fof(f3521,plain,
( ~ sQ135_spl
| ~ sQ108_spl
| ~ sQ42_spl
| e2 = e4 ),
inference(forward_demodulation,[status(thm)],[f470,f3520]) ).
fof(f3522,plain,
( ~ sQ135_spl
| ~ sQ108_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3521,f203]) ).
fof(f3523,plain,
( ~ sQ135_spl
| ~ sQ108_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3522]) ).
fof(f3572,plain,
( ~ sQ149_spl
| ~ sQ82_spl
| op(e1,e2) = e3 ),
inference(forward_demodulation,[status(thm)],[f598,f879]) ).
fof(f3573,plain,
( ~ sQ149_spl
| ~ sQ82_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1066,f3572]) ).
fof(f3574,plain,
( ~ sQ149_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3573,f197]) ).
fof(f3575,plain,
( ~ sQ149_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f3574]) ).
fof(f3576,plain,
$false,
inference(sat_refutation,[status(thm)],[f446,f526,f542,f606,f750,f763,f765,f768,f792,f798,f801,f802,f827,f881,f943,f1008,f1009,f1104,f1121,f1127,f1130,f1139,f1142,f1148,f1151,f1199,f1331,f1397,f1416,f1541,f1596,f1672,f1682,f1692,f1750,f1774,f1824,f1846,f1879,f1887,f1894,f1947,f1965,f2034,f2050,f2104,f2129,f2159,f2194,f2216,f2316,f2319,f2339,f2353,f2361,f2384,f2448,f2497,f2514,f2549,f2550,f2591,f2630,f2695,f2696,f2789,f2817,f2825,f2829,f2831,f2904,f3004,f3069,f3144,f3200,f3215,f3265,f3271,f3295,f3441,f3476,f3523,f3575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG061+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n011.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 12:54:56 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.46 % Refutation found
% 0.14/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.49 % Elapsed time: 0.137475 seconds
% 0.14/0.49 % CPU time: 0.813906 seconds
% 0.14/0.49 % Total memory used: 128.007 MB
% 0.14/0.49 % Net memory used: 127.445 MB
%------------------------------------------------------------------------------