%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG116+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 11:48:16 AM UTC 2026
% Result : Theorem 1.05s 0.70s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 282
% Syntax : Number of formulae : 1797 ( 203 unt; 265 def)
% Number of atoms : 6026 (2648 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 7317 (3088 ~;3348 |; 612 &)
% ( 269 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 267 ( 265 usr; 266 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( op1(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e10),op1(e13,e10)) = e10 )
| ( op1(op1(e12,e13),op1(e12,e13)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e10 )
| ( op1(op1(e11,e13),op1(e11,e13)) = e13
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e10),op1(e11,e10)) = e10 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e13
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e20),op2(e23,e20)) = e20 )
| ( op2(op2(e22,e23),op2(e22,e23)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e20 )
| ( op2(op2(e21,e23),op2(e21,e23)) = e23
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e20),op2(e21,e20)) = e20 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e23
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e12 = op1(op1(e13,op1(e13,e13)),e13)
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e22 = op2(op2(e23,op2(e23,e23)),e23)
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e13) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f86,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f96,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f98,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f172,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f183,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f240,definition,
( sP0_prd
<=> ( ( op1(op1(e12,e13),op1(e12,e13)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e10 )
| ( op1(op1(e11,e13),op1(e11,e13)) = e13
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e10),op1(e11,e10)) = e10 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e13
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( op1(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e10),op1(e13,e10)) = e10 )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f243,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e12
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f245,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f246,definition,
( sP1_prd
<=> ( ( op2(op2(e22,e23),op2(e22,e23)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e20 )
| ( op2(op2(e21,e23),op2(e21,e23)) = e23
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e20),op2(e21,e20)) = e20 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e23
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f247,plain,
( ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e20),op2(e23,e20)) = e20 )
| sP1_prd ),
inference(formula_renaming,[status(thm)],[f11,f246]) ).
fof(f248,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e20
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f251,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f252,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f253,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f254,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f255,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f256,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f257,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f258,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f259,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f260,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f261,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f262,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f263,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f264,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f265,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f266,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f267,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f268,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f269,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f270,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f271,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f272,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f273,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f274,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f275,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f276,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f277,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f278,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f279,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f280,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f281,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f282,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f283,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f284,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f285,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f286,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f287,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP13_prd
| sP12_prd
| sP11_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| sP10_prd
| sP9_prd
| sP8_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| sP7_prd
| sP6_prd
| sP5_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| sP4_prd
| sP3_prd
| sP2_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(formula_renaming,[status(thm)],[f274,f286,f285,f284,f283,f282,f281,f280,f279,f278,f277,f276,f275]) ).
fof(f297,plain,
( h3(e11) != e23
| sP10_prd
| sP9_prd
| sP8_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f304,definition,
( sP14_prd
<=> ( ( op1(op1(e11,e13),op1(e11,e13)) = e13
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e10),op1(e11,e10)) = e10 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e13
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f305,plain,
( sP0_prd
<=> ( ( op1(op1(e12,e13),op1(e12,e13)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e10 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f304]) ).
fof(f306,plain,
( ( ( ( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e10),op1(e12,e10)) != e10 )
& ~ sP14_prd )
| sP0_prd )
& ( ( op1(op1(e12,e13),op1(e12,e13)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e10 )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f305]) ).
fof(f307,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e10
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f310,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e13
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f313,definition,
( sP15_prd
<=> ( ( op2(op2(e21,e23),op2(e21,e23)) = e23
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e20),op2(e21,e20)) = e20 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e23
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f314,plain,
( sP1_prd
<=> ( ( op2(op2(e22,e23),op2(e22,e23)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e20 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f246,f313]) ).
fof(f315,plain,
( ( ( ( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e20),op2(e22,e20)) != e20 )
& ~ sP15_prd )
| sP1_prd )
& ( ( op2(op2(e22,e23),op2(e22,e23)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e20 )
| sP15_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f316,plain,
( op2(op2(e22,e20),op2(e22,e20)) = e20
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f319,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e23
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f322,plain,
( ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20
| sP2_prd )
& ( ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f275]) ).
fof(f324,plain,
( h1(e11) != e20
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f322]) ).
fof(f340,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP5_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f278]) ).
fof(f341,plain,
( h2(e10) != e20
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f346,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP6_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f279]) ).
fof(f350,plain,
( h2(e13) != e21
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f352,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f280]) ).
fof(f354,plain,
( h2(e11) != e22
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f358,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP8_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f281]) ).
fof(f359,plain,
( h3(e10) != e20
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f364,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP9_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f282]) ).
fof(f367,plain,
( h3(e12) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f370,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP10_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f283]) ).
fof(f374,plain,
( h3(e13) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f376,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP11_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f377,plain,
( h4(e10) != e20
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f382,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP12_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f285]) ).
fof(f384,plain,
( h4(e11) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f388,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP13_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f286]) ).
fof(f391,plain,
( h4(e12) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f394,definition,
( sP16_prd
<=> ( op1(op1(e10,e13),op1(e10,e13)) = e13
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f395,plain,
( sP14_prd
<=> ( ( op1(op1(e11,e13),op1(e11,e13)) = e13
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e10),op1(e11,e10)) = e10 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f304,f394]) ).
fof(f396,plain,
( ( ( ( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e10),op1(e11,e10)) != e10 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op1(op1(e11,e13),op1(e11,e13)) = e13
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e10),op1(e11,e10)) = e10 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f395]) ).
fof(f398,plain,
( op1(op1(e11,e11),op1(e11,e11)) = e11
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f399,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e12
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f400,plain,
( op1(op1(e11,e13),op1(e11,e13)) = e13
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f403,definition,
( sP17_prd
<=> ( op2(op2(e20,e23),op2(e20,e23)) = e23
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f404,plain,
( sP15_prd
<=> ( ( op2(op2(e21,e23),op2(e21,e23)) = e23
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e20),op2(e21,e20)) = e20 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f313,f403]) ).
fof(f405,plain,
( ( ( ( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e20),op2(e21,e20)) != e20 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op2(op2(e21,e23),op2(e21,e23)) = e23
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e20),op2(e21,e20)) = e20 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f404]) ).
fof(f406,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e20
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f409,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e23
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f412,plain,
( ( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e10),op1(e10,e10)) != e10
| sP16_prd )
& ( ( op1(op1(e10,e13),op1(e10,e13)) = e13
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f394]) ).
fof(f415,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f416,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f418,plain,
( ( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e20),op2(e20,e20)) != e20
| sP17_prd )
& ( ( op2(op2(e20,e23),op2(e20,e23)) = e23
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f403]) ).
fof(f419,plain,
( op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f420,plain,
( op2(op2(e20,e21),op2(e20,e21)) = e21
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f421,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f422,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f424,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f424,f427,f430,f433]) ).
fof(f437,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f437,f440,f443,f446]) ).
fof(f450,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f22,f450,f453,f456,f459]) ).
fof(f463,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f472,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f463,f466,f469,f472]) ).
fof(f476,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f489,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f502,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f515,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f27,f515,f518,f521,f524]) ).
fof(f528,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f541,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f554,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f557,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f563,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f554,f557,f560,f563]) ).
fof(f567,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f580,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f580,f583,f586,f589]) ).
fof(f593,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f606,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f606,f609,f612,f615]) ).
fof(f619,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f625,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f619,f622,f625,f628]) ).
fof(f632,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f424,f437,f450,f463]) ).
fof(f633,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f424,f476,f528,f580]) ).
fof(f634,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f427,f440,f453,f466]) ).
fof(f635,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f39,f427,f479,f531,f583]) ).
fof(f637,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f430,f482,f534,f586]) ).
fof(f638,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f42,f433,f446,f459,f472]) ).
fof(f642,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f479,f492,f505,f518]) ).
fof(f644,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f482,f495,f508,f521]) ).
fof(f645,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f49,f443,f495,f547,f599]) ).
fof(f646,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f485,f498,f511,f524]) ).
fof(f647,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f446,f498,f550,f602]) ).
fof(f648,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f528,f541,f554,f567]) ).
fof(f649,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f450,f502,f554,f606]) ).
fof(f650,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f54,f531,f544,f557,f570]) ).
fof(f653,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f456,f508,f560,f612]) ).
fof(f656,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f580,f593,f606,f619]) ).
fof(f657,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f463,f515,f567,f619]) ).
fof(f660,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f64,f586,f599,f612,f625]) ).
fof(f662,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f589,f602,f615,f628]) ).
fof(f663,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f472,f524,f576,f628]) ).
fof(f664,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f677,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f69,f677,f680,f683,f686]) ).
fof(f690,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f703,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f712,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f703,f706,f709,f712]) ).
fof(f716,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f729,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f742,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f755,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f768,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f781,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f794,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f794,f797,f800,f803]) ).
fof(f807,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f820,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f80,f820,f823,f826,f829]) ).
fof(f833,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f846,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f846,f849,f852,f855]) ).
fof(f859,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f865,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f83,f859,f862,f865,f868]) ).
fof(f872,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f664,f677,f690,f703]) ).
fof(f873,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f664,f716,f768,f820]) ).
fof(f874,plain,
( sQ77_spl
| sQ73_spl
| sQ69_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f86,f667,f680,f693,f706]) ).
fof(f875,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f667,f719,f771,f823]) ).
fof(f877,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f670,f722,f774,f826]) ).
fof(f878,plain,
( sQ79_spl
| sQ75_spl
| sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f90,f673,f686,f699,f712]) ).
fof(f882,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f719,f732,f745,f758]) ).
fof(f883,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f680,f732,f784,f836]) ).
fof(f884,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f722,f735,f748,f761]) ).
fof(f885,plain,
( sQ118_spl
| sQ102_spl
| sQ86_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f97,f683,f735,f787,f839]) ).
fof(f886,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f725,f738,f751,f764]) ).
fof(f887,plain,
( sQ119_spl
| sQ103_spl
| sQ87_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f99,f686,f738,f790,f842]) ).
fof(f888,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f768,f781,f794,f807]) ).
fof(f889,plain,
( sQ120_spl
| sQ104_spl
| sQ88_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f101,f690,f742,f794,f846]) ).
fof(f890,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f771,f784,f797,f810]) ).
fof(f892,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f774,f787,f800,f813]) ).
fof(f894,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f777,f790,f803,f816]) ).
fof(f896,plain,
( sQ124_spl
| sQ120_spl
| sQ116_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f108,f820,f833,f846,f859]) ).
fof(f897,plain,
( sQ124_spl
| sQ108_spl
| sQ92_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f109,f703,f755,f807,f859]) ).
fof(f903,plain,
( sQ127_spl
| sQ111_spl
| sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f115,f712,f764,f816,f868]) ).
fof(f904,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f907,definition,
( sQ129_spl
<=> op1(op1(e13,e10),op1(e13,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ129_spl
| op1(op1(e13,e10),op1(e13,e10)) = e10 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f911,definition,
( sQ130_spl
<=> op1(op1(e13,e11),op1(e13,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ130_spl
| op1(op1(e13,e11),op1(e13,e11)) = e11 ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f243,f904,f911]) ).
fof(f915,definition,
( sQ131_spl
<=> op1(op1(e13,e12),op1(e13,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ131_spl
| op1(op1(e13,e12),op1(e13,e12)) = e12 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( sQ131_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f244,f904,f915]) ).
fof(f919,definition,
( sQ132_spl
<=> op1(op1(e13,e13),op1(e13,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ132_spl
| op1(op1(e13,e13),op1(e13,e13)) = e13 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,plain,
( sQ132_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f245,f904,f919]) ).
fof(f923,definition,
( sQ133_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f926,definition,
( sQ134_spl
<=> op2(op2(e23,e20),op2(e23,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ134_spl
| op2(op2(e23,e20),op2(e23,e20)) = e20 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,plain,
( sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f248,f923,f926]) ).
fof(f930,definition,
( sQ135_spl
<=> op2(op2(e23,e21),op2(e23,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ135_spl
| op2(op2(e23,e21),op2(e23,e21)) = e21 ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,plain,
( sQ135_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f249,f923,f930]) ).
fof(f938,definition,
( sQ137_spl
<=> op2(op2(e23,e23),op2(e23,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ137_spl
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f940,plain,
( sQ137_spl
| op2(op2(e23,e23),op2(e23,e23)) != e23 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( sQ137_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f251,f923,f938]) ).
fof(f945,definition,
( sQ139_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( sQ139_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,definition,
( sQ140_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( sQ140_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ141_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ141_spl
| h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f953,plain,
( sQ141_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,definition,
( sQ142_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( sQ142_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f981,definition,
( sQ151_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ151_spl
| h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f983,plain,
( sQ151_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ152_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( sQ152_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,definition,
( sQ153_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( ~ sQ153_spl
| h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f989,plain,
( sQ153_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,definition,
( sQ154_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1024,definition,
( sQ164_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1025,plain,
( ~ sQ164_spl
| h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1026,plain,
( sQ164_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1027,definition,
( sQ165_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( sQ165_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1027]) ).
fof(f1054,definition,
( sQ174_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1055,plain,
( ~ sQ174_spl
| h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1056,plain,
( sQ174_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1060,definition,
( sQ176_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ176_spl
| h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1062,plain,
( sQ176_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,definition,
( sQ177_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1066,definition,
( sQ178_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1069,definition,
( sQ179_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1076,definition,
( sQ181_spl
<=> h2(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( sQ181_spl
| h2(e11) != e23 ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1080,definition,
( sQ182_spl
<=> h2(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1082,plain,
( sQ182_spl
| h2(e12) != e23 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1088,definition,
( sQ184_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( sQ184_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,definition,
( sQ185_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1093,plain,
( sQ185_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,definition,
( sQ186_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( sQ186_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,definition,
( sQ187_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
( ~ sQ187_spl
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( sQ187_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1100,definition,
( sQ188_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( sQ188_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1103,definition,
( sQ189_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
( sQ189_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1103]) ).
fof(f1106,definition,
( sQ190_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1108,plain,
( sQ190_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f1106]) ).
fof(f1109,definition,
( sQ191_spl
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
( sQ191_spl
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,definition,
( sQ192_spl
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
( ~ sQ192_spl
| h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f1112]) ).
fof(f1114,plain,
( sQ192_spl
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f1112]) ).
fof(f1115,definition,
( sQ193_spl
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( sQ193_spl
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1118,definition,
( sQ194_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( sQ194_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,definition,
( sQ195_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( sQ195_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
( sQ196_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1126,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,definition,
( sQ197_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( ~ sQ197_spl
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
( sQ197_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,definition,
( sQ198_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( sQ198_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1133,definition,
( sQ199_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( ~ sQ199_spl
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1135,plain,
( sQ199_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,definition,
( sQ200_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1139,definition,
( sQ201_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1142,definition,
( sQ202_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1149,definition,
( sQ204_spl
<=> h3(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( sQ204_spl
| h3(e11) != e23 ),
inference(component_clause,[status(thm)],[f1149]) ).
fof(f1152,plain,
( ~ sQ204_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl
| ~ sQ199_spl
| ~ sQ198_spl
| ~ sQ197_spl
| ~ sQ196_spl
| ~ sQ195_spl
| ~ sQ194_spl
| ~ sQ193_spl
| ~ sQ192_spl
| ~ sQ191_spl
| ~ sQ190_spl
| ~ sQ189_spl
| ~ sQ188_spl
| ~ sQ187_spl
| ~ sQ186_spl
| ~ sQ185_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f297,f1088,f1091,f1094,f1097,f1100,f1103,f1106,f1109,f1112,f1115,f1118,f1121,f1124,f1127,f1130,f1133,f1136,f1139,f1142,f1149]) ).
fof(f1161,definition,
( sQ207_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1163,plain,
( sQ207_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,definition,
( sQ208_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( sQ208_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1170,definition,
( sQ210_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( sQ210_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,definition,
( sQ211_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( ~ sQ211_spl
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1175,plain,
( sQ211_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1176,definition,
( sQ212_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1178,plain,
( sQ212_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,definition,
( sQ213_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1180,plain,
( ~ sQ213_spl
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1181,plain,
( sQ213_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1200,definition,
( sQ220_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( sQ220_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1206,definition,
( sQ222_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( sQ222_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1206]) ).
fof(f1209,definition,
( sQ223_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1212,definition,
( sQ224_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1215,definition,
( sQ225_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1230,definition,
( sQ229_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( sQ229_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1234,definition,
( sQ230_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1237,definition,
( sQ231_spl
<=> op1(op1(e12,e10),op1(e12,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( ~ sQ231_spl
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(component_clause,[status(thm)],[f1237]) ).
fof(f1240,plain,
( sQ231_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f307,f904,f1234,f1237]) ).
fof(f1249,definition,
( sQ234_spl
<=> op1(op1(e12,e13),op1(e12,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ234_spl
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,plain,
( sQ234_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f310,f904,f1234,f1249]) ).
fof(f1255,definition,
( sQ235_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1258,definition,
( sQ236_spl
<=> op2(op2(e22,e20),op2(e22,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( ~ sQ236_spl
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,plain,
( sQ236_spl
| sQ235_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f316,f923,f1255,f1258]) ).
fof(f1270,definition,
( sQ239_spl
<=> op2(op2(e22,e23),op2(e22,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( ~ sQ239_spl
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1273,plain,
( sQ239_spl
| sQ235_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f319,f923,f1255,f1270]) ).
fof(f1276,definition,
( sQ240_spl
<=> h1(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1277,plain,
( ~ sQ240_spl
| h1(e10) = e20 ),
inference(component_clause,[status(thm)],[f1276]) ).
fof(f1278,plain,
( sQ240_spl
| h1(e10) != e20 ),
inference(component_clause,[status(thm)],[f1276]) ).
fof(f1280,definition,
( sQ241_spl
<=> h1(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1281,plain,
( ~ sQ241_spl
| h1(e11) = e20 ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1283,plain,
( ~ sQ241_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f324,f990,f1280]) ).
fof(f1297,definition,
( sQ245_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( ~ sQ245_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1299,plain,
( sQ245_spl
| h1(e11) != e21 ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1305,definition,
( sQ247_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1306,plain,
( ~ sQ247_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1310,definition,
( sQ248_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( ~ sQ248_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1314,definition,
( sQ249_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1322,definition,
( sQ251_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1323,plain,
( ~ sQ251_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1327,definition,
( sQ252_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( ~ sQ252_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1327]) ).
fof(f1329,plain,
( sQ252_spl
| h2(e10) != e20 ),
inference(component_clause,[status(thm)],[f1327]) ).
fof(f1330,plain,
( ~ sQ252_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f341,f1063,f1327]) ).
fof(f1331,definition,
( sQ253_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1332,plain,
( ~ sQ253_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1331]) ).
fof(f1335,definition,
( sQ254_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
( ~ sQ254_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1339,definition,
( sQ255_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
( ~ sQ255_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f1339]) ).
fof(f1344,definition,
( sQ256_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( ~ sQ256_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1346,plain,
( sQ256_spl
| h2(e10) != e21 ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1348,definition,
( sQ257_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( ~ sQ257_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1348]) ).
fof(f1350,plain,
( sQ257_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f1348]) ).
fof(f1356,definition,
( sQ259_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1358,plain,
( sQ259_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1359,plain,
( ~ sQ259_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f350,f1066,f1356]) ).
fof(f1361,definition,
( sQ260_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( ~ sQ260_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1363,plain,
( sQ260_spl
| h2(e10) != e22 ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1365,definition,
( sQ261_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1366,plain,
( ~ sQ261_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f1365]) ).
fof(f1368,plain,
( ~ sQ261_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f354,f1069,f1365]) ).
fof(f1373,definition,
( sQ263_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1374,plain,
( ~ sQ263_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1373]) ).
fof(f1378,definition,
( sQ264_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1379,plain,
( ~ sQ264_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1380,plain,
( sQ264_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1381,plain,
( ~ sQ264_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f359,f1136,f1378]) ).
fof(f1382,definition,
( sQ265_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
( ~ sQ265_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1390,definition,
( sQ267_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1391,plain,
( ~ sQ267_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1399,definition,
( sQ269_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1400,plain,
( ~ sQ269_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1403,definition,
( sQ270_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( ~ sQ270_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1405,plain,
( sQ270_spl
| h3(e12) != e21 ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
( ~ sQ270_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f367,f1139,f1403]) ).
fof(f1407,definition,
( sQ271_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1408,plain,
( ~ sQ271_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1407]) ).
fof(f1412,definition,
( sQ272_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1413,plain,
( ~ sQ272_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1416,definition,
( sQ273_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1417,plain,
( ~ sQ273_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1420,definition,
( sQ274_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
( ~ sQ274_spl
| h3(e12) = e22 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1424,definition,
( sQ275_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1426,plain,
( sQ275_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1427,plain,
( ~ sQ275_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f374,f1142,f1424]) ).
fof(f1429,definition,
( sQ276_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( sQ276_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( ~ sQ276_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f377,f1209,f1429]) ).
fof(f1433,definition,
( sQ277_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( ~ sQ277_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1437,definition,
( sQ278_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ278_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1441,definition,
( sQ279_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f1442,plain,
( ~ sQ279_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f1441]) ).
fof(f1446,definition,
( sQ280_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( ~ sQ280_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1450,definition,
( sQ281_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1452,plain,
( sQ281_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,plain,
( ~ sQ281_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f384,f1212,f1450]) ).
fof(f1454,definition,
( sQ282_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f1455,plain,
( ~ sQ282_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1458,definition,
( sQ283_spl
<=> h4(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f1459,plain,
( ~ sQ283_spl
| h4(e13) = e21 ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1463,definition,
( sQ284_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ284_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1467,definition,
( sQ285_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( ~ sQ285_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1471,definition,
( sQ286_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
( sQ286_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1474,plain,
( ~ sQ286_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f391,f1215,f1471]) ).
fof(f1475,definition,
( sQ287_spl
<=> h4(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
( ~ sQ287_spl
| h4(e13) = e22 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1480,definition,
( sQ288_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1487,definition,
( sQ290_spl
<=> op1(op1(e11,e11),op1(e11,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( ~ sQ290_spl
| op1(op1(e11,e11),op1(e11,e11)) = e11 ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1490,plain,
( sQ290_spl
| sQ288_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f398,f1234,f1480,f1487]) ).
fof(f1491,definition,
( sQ291_spl
<=> op1(op1(e11,e12),op1(e11,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
( ~ sQ291_spl
| op1(op1(e11,e12),op1(e11,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1494,plain,
( sQ291_spl
| sQ288_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f399,f1234,f1480,f1491]) ).
fof(f1495,definition,
( sQ292_spl
<=> op1(op1(e11,e13),op1(e11,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( ~ sQ292_spl
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(component_clause,[status(thm)],[f1495]) ).
fof(f1498,plain,
( sQ292_spl
| sQ288_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f400,f1234,f1480,f1495]) ).
fof(f1501,definition,
( sQ293_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f1504,definition,
( sQ294_spl
<=> op2(op2(e21,e20),op2(e21,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( ~ sQ294_spl
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,plain,
( sQ294_spl
| sQ293_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f406,f1255,f1501,f1504]) ).
fof(f1508,definition,
( sQ295_spl
<=> op2(op2(e21,e21),op2(e21,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1509,plain,
( ~ sQ295_spl
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1512,definition,
( sQ296_spl
<=> op2(op2(e21,e22),op2(e21,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1513,plain,
( ~ sQ296_spl
| op2(op2(e21,e22),op2(e21,e22)) = e22 ),
inference(component_clause,[status(thm)],[f1512]) ).
fof(f1516,definition,
( sQ297_spl
<=> op2(op2(e21,e23),op2(e21,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
( ~ sQ297_spl
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(component_clause,[status(thm)],[f1516]) ).
fof(f1519,plain,
( sQ297_spl
| sQ293_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f409,f1255,f1501,f1516]) ).
fof(f1522,definition,
( sQ298_spl
<=> op1(op1(e10,e10),op1(e10,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1523,plain,
( ~ sQ298_spl
| op1(op1(e10,e10),op1(e10,e10)) = e10 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1524,plain,
( sQ298_spl
| op1(op1(e10,e10),op1(e10,e10)) != e10 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1530,definition,
( sQ300_spl
<=> op1(op1(e10,e12),op1(e10,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( ~ sQ300_spl
| op1(op1(e10,e12),op1(e10,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1532,plain,
( sQ300_spl
| op1(op1(e10,e12),op1(e10,e12)) != e12 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1533,plain,
( sQ300_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f415,f1480,f1530]) ).
fof(f1534,definition,
( sQ301_spl
<=> op1(op1(e10,e13),op1(e10,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1535,plain,
( ~ sQ301_spl
| op1(op1(e10,e13),op1(e10,e13)) = e13 ),
inference(component_clause,[status(thm)],[f1534]) ).
fof(f1536,plain,
( sQ301_spl
| op1(op1(e10,e13),op1(e10,e13)) != e13 ),
inference(component_clause,[status(thm)],[f1534]) ).
fof(f1537,plain,
( sQ301_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f416,f1480,f1534]) ).
fof(f1539,definition,
( sQ302_spl
<=> op2(op2(e20,e20),op2(e20,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ302_spl
| op2(op2(e20,e20),op2(e20,e20)) = e20 ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,plain,
( sQ302_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f419,f1501,f1539]) ).
fof(f1543,definition,
( sQ303_spl
<=> op2(op2(e20,e21),op2(e20,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f1546,plain,
( sQ303_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f420,f1501,f1543]) ).
fof(f1547,definition,
( sQ304_spl
<=> op2(op2(e20,e22),op2(e20,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1548,plain,
( ~ sQ304_spl
| op2(op2(e20,e22),op2(e20,e22)) = e22 ),
inference(component_clause,[status(thm)],[f1547]) ).
fof(f1550,plain,
( sQ304_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f421,f1501,f1547]) ).
fof(f1551,definition,
( sQ305_spl
<=> op2(op2(e20,e23),op2(e20,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ305_spl
| op2(op2(e20,e23),op2(e20,e23)) = e23 ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( sQ305_spl
| op2(op2(e20,e23),op2(e20,e23)) != e23 ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,plain,
( sQ305_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f422,f1501,f1551]) ).
fof(f1556,plain,
e10 = op1(e13,e11),
inference(backward_demodulation,[status(thm)],[f253,f252]) ).
fof(f1557,plain,
op1(e13,e12) != e11,
inference(backward_demodulation,[status(thm)],[f253,f163]) ).
fof(f1559,plain,
op1(e13,e10) != e11,
inference(backward_demodulation,[status(thm)],[f253,f160]) ).
fof(f1561,plain,
op1(e11,e13) != e11,
inference(backward_demodulation,[status(thm)],[f253,f138]) ).
fof(f1563,plain,
op1(e10,e12) != e12,
inference(backward_demodulation,[status(thm)],[f1568,f145]) ).
fof(f1564,plain,
op1(e10,e11) != e12,
inference(backward_demodulation,[status(thm)],[f1568,f144]) ).
fof(f1565,plain,
op1(e10,e10) != e12,
inference(backward_demodulation,[status(thm)],[f1568,f142]) ).
fof(f1567,plain,
e12 != op1(e11,e13),
inference(backward_demodulation,[status(thm)],[f1568,f134]) ).
fof(f1568,plain,
e12 = op1(e10,e13),
inference(forward_demodulation,[status(thm)],[f252,f254]) ).
fof(f1569,plain,
e20 = op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f256,f255]) ).
fof(f1570,plain,
op2(e23,e22) != e21,
inference(backward_demodulation,[status(thm)],[f256,f211]) ).
fof(f1572,plain,
op2(e23,e20) != e21,
inference(backward_demodulation,[status(thm)],[f256,f208]) ).
fof(f1576,plain,
op2(e20,e22) != e22,
inference(backward_demodulation,[status(thm)],[f1581,f193]) ).
fof(f1577,plain,
op2(e20,e21) != e22,
inference(backward_demodulation,[status(thm)],[f1581,f192]) ).
fof(f1578,plain,
op2(e20,e20) != e22,
inference(backward_demodulation,[status(thm)],[f1581,f190]) ).
fof(f1579,plain,
e22 != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f1581,f183]) ).
fof(f1580,plain,
e22 != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f1581,f182]) ).
fof(f1581,plain,
e22 = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f255,f257]) ).
fof(f1582,plain,
h1(e10) = op2(e20,h1(e11)),
inference(backward_demodulation,[status(thm)],[f260,f259]) ).
fof(f1584,plain,
h1(e11) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f260,f188]) ).
fof(f1585,plain,
h1(e11) != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f260,f166]) ).
fof(f1586,plain,
h1(e11) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f260,f165]) ).
fof(f1588,plain,
h1(e12) = op2(h1(e10),e20),
inference(forward_demodulation,[status(thm)],[f259,f261]) ).
fof(f1589,plain,
h2(e10) = op2(e21,h2(e11)),
inference(backward_demodulation,[status(thm)],[f264,f263]) ).
fof(f1593,plain,
h2(e11) != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f264,f174]) ).
fof(f1595,plain,
op2(e20,e21) != h2(e11),
inference(backward_demodulation,[status(thm)],[f264,f170]) ).
fof(f1596,plain,
h2(e12) = op2(h2(e10),e21),
inference(forward_demodulation,[status(thm)],[f263,f265]) ).
fof(f1597,plain,
h3(e10) = op2(e22,h3(e11)),
inference(backward_demodulation,[status(thm)],[f268,f267]) ).
fof(f1598,plain,
h3(e11) != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f268,f205]) ).
fof(f1601,plain,
h3(e11) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f268,f181]) ).
fof(f1602,plain,
op2(e21,e22) != h3(e11),
inference(backward_demodulation,[status(thm)],[f268,f179]) ).
fof(f1604,plain,
h3(e12) = op2(h3(e10),e22),
inference(forward_demodulation,[status(thm)],[f267,f269]) ).
fof(f1605,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f255,f271]) ).
fof(f1606,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f256,f272]) ).
fof(f1607,plain,
h4(e12) = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f255,f273]) ).
fof(f1608,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f1581,f1607]) ).
fof(f1609,plain,
( sQ222_spl
| h4(e11) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f253,f1208]) ).
fof(f1610,plain,
( sQ222_spl
| e21 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1606,f1609]) ).
fof(f1611,plain,
( sQ222_spl
| e21 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f270,f1610]) ).
fof(f1612,plain,
( sQ222_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f270,f1611]) ).
fof(f1613,plain,
( sQ222_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f256,f1612]) ).
fof(f1614,plain,
( sQ222_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1613]) ).
fof(f1615,plain,
sQ222_spl,
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1618,plain,
( sQ220_spl
| h4(op1(e13,e11)) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f270,f1202]) ).
fof(f1619,plain,
( sQ220_spl
| h4(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1606,f1618]) ).
fof(f1633,plain,
( sQ213_spl
| h4(op1(e11,e12)) != op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1606,f1181]) ).
fof(f1634,plain,
( sQ213_spl
| h4(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1608,f1633]) ).
fof(f1635,plain,
( sQ212_spl
| h4(op1(e11,e11)) != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1606,f1178]) ).
fof(f1636,plain,
( sQ212_spl
| h4(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1606,f1635]) ).
fof(f1637,plain,
( sQ212_spl
| h4(op1(e11,e11)) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f264,f1636]) ).
fof(f1638,plain,
( sQ211_spl
| h4(op1(e11,e10)) != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1606,f1175]) ).
fof(f1639,plain,
( sQ211_spl
| h4(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1605,f1638]) ).
fof(f1640,plain,
( sQ210_spl
| h4(e12) != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1568,f1172]) ).
fof(f1641,plain,
( sQ210_spl
| e22 != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1608,f1640]) ).
fof(f1642,plain,
( sQ210_spl
| e22 != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1605,f1641]) ).
fof(f1643,plain,
( sQ210_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f270,f1642]) ).
fof(f1644,plain,
( sQ210_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1581,f1643]) ).
fof(f1645,plain,
( sQ210_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1644]) ).
fof(f1646,plain,
sQ210_spl,
inference(contradiction_clause,[status(thm)],[f1645]) ).
fof(f1649,plain,
( sQ208_spl
| h4(op1(e10,e11)) != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1605,f1166]) ).
fof(f1650,plain,
( sQ208_spl
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1606,f1649]) ).
fof(f1651,plain,
( sQ207_spl
| h4(op1(e10,e10)) != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1605,f1163]) ).
fof(f1652,plain,
( sQ207_spl
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1605,f1651]) ).
fof(f1653,plain,
( sQ207_spl
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f260,f1652]) ).
fof(f1654,plain,
( sQ199_spl
| h3(e11) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f253,f1135]) ).
fof(f1655,plain,
( sQ199_spl
| h3(e11) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f266,f1654]) ).
fof(f1656,plain,
( sQ199_spl
| h3(e11) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1655]) ).
fof(f1657,plain,
( sQ199_spl
| h3(e11) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f268,f1656]) ).
fof(f1658,plain,
( sQ199_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1657]) ).
fof(f1659,plain,
sQ199_spl,
inference(contradiction_clause,[status(thm)],[f1658]) ).
fof(f1660,plain,
( sQ198_spl
| h3(op1(e13,e12)) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f266,f1132]) ).
fof(f1661,plain,
( sQ197_spl
| h3(op1(e13,e11)) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f266,f1129]) ).
fof(f1662,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f266,f1126]) ).
fof(f1663,plain,
( sQ195_spl
| h3(op1(e12,e13)) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1123]) ).
fof(f1664,plain,
( sQ191_spl
| h3(op1(e11,e13)) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1111]) ).
fof(f1665,plain,
( sQ187_spl
| h3(e12) != op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1568,f1099]) ).
fof(f1666,plain,
( sQ187_spl
| h3(e12) != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1665]) ).
fof(f1667,plain,
( sQ187_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f1604,f1666]) ).
fof(f1668,plain,
( sQ187_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1667]) ).
fof(f1669,plain,
sQ187_spl,
inference(contradiction_clause,[status(thm)],[f1668]) ).
fof(f1670,plain,
( sQ176_spl
| h2(e11) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f253,f1062]) ).
fof(f1671,plain,
( sQ176_spl
| h2(e11) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f262,f1670]) ).
fof(f1672,plain,
( sQ176_spl
| h2(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1671]) ).
fof(f1673,plain,
( sQ176_spl
| h2(e11) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f264,f1672]) ).
fof(f1674,plain,
( sQ176_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1673]) ).
fof(f1675,plain,
sQ176_spl,
inference(contradiction_clause,[status(thm)],[f1674]) ).
fof(f1677,plain,
( sQ174_spl
| h2(op1(e13,e11)) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f262,f1056]) ).
fof(f1681,plain,
( sQ164_spl
| h2(e12) != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1568,f1026]) ).
fof(f1682,plain,
( sQ164_spl
| h2(e12) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1681]) ).
fof(f1683,plain,
( sQ164_spl
| h2(e12) != h2(e12) ),
inference(forward_demodulation,[status(thm)],[f1596,f1682]) ).
fof(f1684,plain,
( sQ164_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1683]) ).
fof(f1685,plain,
sQ164_spl,
inference(contradiction_clause,[status(thm)],[f1684]) ).
fof(f1686,plain,
( sQ153_spl
| h1(e11) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f253,f989]) ).
fof(f1687,plain,
( sQ153_spl
| h1(e11) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f258,f1686]) ).
fof(f1688,plain,
( sQ153_spl
| h1(e11) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f258,f1687]) ).
fof(f1689,plain,
( sQ153_spl
| h1(e11) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f260,f1688]) ).
fof(f1690,plain,
( sQ153_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1689]) ).
fof(f1691,plain,
sQ153_spl,
inference(contradiction_clause,[status(thm)],[f1690]) ).
fof(f1692,plain,
( sQ152_spl
| h1(op1(e13,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f258,f986]) ).
fof(f1693,plain,
( sQ151_spl
| h1(op1(e13,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f258,f983]) ).
fof(f1697,plain,
( sQ141_spl
| h1(e12) != op2(h1(e10),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1568,f953]) ).
fof(f1698,plain,
( sQ141_spl
| h1(e12) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f1697]) ).
fof(f1699,plain,
( sQ141_spl
| h1(e12) != h1(e12) ),
inference(forward_demodulation,[status(thm)],[f1588,f1698]) ).
fof(f1700,plain,
( sQ141_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1699]) ).
fof(f1701,plain,
sQ141_spl,
inference(contradiction_clause,[status(thm)],[f1700]) ).
fof(f1702,plain,
( ~ sQ127_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f256,f869]) ).
fof(f1703,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1702,f222]) ).
fof(f1704,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1712,plain,
( ~ sQ79_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1581,f713]) ).
fof(f1713,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1712,f223]) ).
fof(f1714,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1713]) ).
fof(f1725,plain,
( ~ sQ115_spl
| op2(e22,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f830,f169]) ).
fof(f1726,plain,
( ~ sQ115_spl
| op2(e21,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f830,f168]) ).
fof(f1727,plain,
( ~ sQ126_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f256,f866]) ).
fof(f1728,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1727,f221]) ).
fof(f1729,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f1728]) ).
fof(f1745,plain,
( ~ sQ93_spl
| ~ sQ95_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f765,f759]) ).
fof(f1746,plain,
( ~ sQ93_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1745,f222]) ).
fof(f1747,plain,
( ~ sQ93_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1748,plain,
( ~ sQ77_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1581,f707]) ).
fof(f1749,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1748,f221]) ).
fof(f1750,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f1749]) ).
fof(f1751,plain,
( ~ sQ124_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f256,f860]) ).
fof(f1752,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1751,f218]) ).
fof(f1753,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1752]) ).
fof(f1754,plain,
( ~ sQ108_spl
| ~ sQ109_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f811,f808]) ).
fof(f1755,plain,
( ~ sQ108_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1754,f218]) ).
fof(f1756,plain,
( ~ sQ108_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f1755]) ).
fof(f1757,plain,
( ~ sQ92_spl
| ~ sQ95_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f765,f756]) ).
fof(f1758,plain,
( ~ sQ92_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1757,f220]) ).
fof(f1759,plain,
( ~ sQ92_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f1758]) ).
fof(f1760,plain,
( ~ sQ76_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1581,f704]) ).
fof(f1761,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1760,f219]) ).
fof(f1762,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f1761]) ).
fof(f1766,plain,
( ~ sQ116_spl
| ~ sQ117_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f837,f834]) ).
fof(f1767,plain,
( ~ sQ116_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1766,f218]) ).
fof(f1768,plain,
( ~ sQ116_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f1767]) ).
fof(f1774,plain,
( sQ189_spl
| ~ sQ107_spl
| h3(op1(e11,e11)) != op2(h3(e11),e23) ),
inference(backward_demodulation,[status(thm)],[f1781,f1105]) ).
fof(f1781,plain,
( ~ sQ107_spl
| h3(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f268,f804]) ).
fof(f1792,plain,
( ~ sQ106_spl
| h3(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f268,f801]) ).
fof(f1802,plain,
( ~ sQ102_spl
| ~ sQ103_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f791,f788]) ).
fof(f1803,plain,
( ~ sQ102_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1802,f223]) ).
fof(f1804,plain,
( ~ sQ102_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f1803]) ).
fof(f1811,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f746,f743]) ).
fof(f1812,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1811,f218]) ).
fof(f1813,plain,
( ~ sQ88_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1812]) ).
fof(f1814,plain,
( ~ sQ72_spl
| ~ sQ73_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f694,f691]) ).
fof(f1815,plain,
( ~ sQ72_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1814,f218]) ).
fof(f1816,plain,
( ~ sQ72_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1815]) ).
fof(f1817,plain,
( ~ sQ100_spl
| ~ sQ101_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f785,f782]) ).
fof(f1818,plain,
( ~ sQ100_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1817,f218]) ).
fof(f1819,plain,
( ~ sQ100_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f1818]) ).
fof(f1820,plain,
( ~ sQ96_spl
| ~ sQ97_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f772,f769]) ).
fof(f1821,plain,
( ~ sQ96_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1820,f218]) ).
fof(f1822,plain,
( ~ sQ96_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1821]) ).
fof(f1831,plain,
( ~ sQ87_spl
| e23 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1832,f264]) ).
fof(f1832,plain,
( ~ sQ87_spl
| h2(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f264,f739]) ).
fof(f1833,plain,
( sQ208_spl
| ~ sQ71_spl
| h4(op1(e10,e11)) != e23 ),
inference(backward_demodulation,[status(thm)],[f687,f1650]) ).
fof(f1835,plain,
( ~ sQ86_spl
| h2(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f264,f736]) ).
fof(f1836,plain,
( ~ sQ86_spl
| ~ sQ87_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1832,f1835]) ).
fof(f1837,plain,
( ~ sQ86_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1836,f223]) ).
fof(f1838,plain,
( ~ sQ86_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1837]) ).
fof(f1851,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f720,f717]) ).
fof(f1852,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1851,f218]) ).
fof(f1853,plain,
( ~ sQ80_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1852]) ).
fof(f1862,plain,
( ~ sQ67_spl
| e23 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f1863,f260]) ).
fof(f1863,plain,
( ~ sQ67_spl
| h1(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f260,f674]) ).
fof(f1864,plain,
( ~ sQ66_spl
| h1(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f260,f671]) ).
fof(f1868,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f668,f665]) ).
fof(f1869,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1868,f218]) ).
fof(f1870,plain,
( ~ sQ64_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1869]) ).
fof(f1871,plain,
( ~ sQ63_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f253,f629]) ).
fof(f1872,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1871,f216]) ).
fof(f1873,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1872]) ).
fof(f1877,plain,
( ~ sQ47_spl
| op1(e12,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f577,f157]) ).
fof(f1884,plain,
( ~ sQ15_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1568,f473]) ).
fof(f1885,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1884,f217]) ).
fof(f1886,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1885]) ).
fof(f1892,plain,
( ~ sQ59_spl
| op1(e12,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f616,f133]) ).
fof(f1901,plain,
( sQ196_spl
| ~ sQ51_spl
| h3(e13) != op2(e22,h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f590,f1662]) ).
fof(f1904,plain,
( ~ sQ51_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f590,f118]) ).
fof(f1905,plain,
( ~ sQ62_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f253,f626]) ).
fof(f1906,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1905,f215]) ).
fof(f1907,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1906]) ).
fof(f1908,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f577,f574]) ).
fof(f1909,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1908,f217]) ).
fof(f1910,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1909]) ).
fof(f1914,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f616,f613]) ).
fof(f1915,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1914,f217]) ).
fof(f1916,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1915]) ).
fof(f1920,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f590,f587]) ).
fof(f1921,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f217]) ).
fof(f1922,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1921]) ).
fof(f1926,plain,
( ~ sQ13_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1568,f467]) ).
fof(f1927,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1926,f215]) ).
fof(f1928,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f1927]) ).
fof(f1929,plain,
( ~ sQ60_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f253,f620]) ).
fof(f1930,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1929,f212]) ).
fof(f1931,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1930]) ).
fof(f1932,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f571,f568]) ).
fof(f1933,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1932,f212]) ).
fof(f1934,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1933]) ).
fof(f1935,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f525,f516]) ).
fof(f1936,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1935,f214]) ).
fof(f1937,plain,
( ~ sQ28_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1936]) ).
fof(f1938,plain,
( ~ sQ12_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1568,f464]) ).
fof(f1939,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1938,f213]) ).
fof(f1940,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1944,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f597,f594]) ).
fof(f1945,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1944,f212]) ).
fof(f1946,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1945]) ).
fof(f1953,plain,
( ~ sQ43_spl
| op1(e12,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f564,f155]) ).
fof(f1956,plain,
( ~ sQ43_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f564,f129]) ).
fof(f1982,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f551,f548]) ).
fof(f1983,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1982,f217]) ).
fof(f1984,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1983]) ).
fof(f1991,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f506,f503]) ).
fof(f1992,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1991,f212]) ).
fof(f1993,plain,
( ~ sQ24_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1992]) ).
fof(f1994,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f454,f451]) ).
fof(f1995,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1994,f212]) ).
fof(f1996,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1995]) ).
fof(f2000,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f532,f529]) ).
fof(f2001,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2000,f212]) ).
fof(f2002,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2001]) ).
fof(f2007,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f499,f496]) ).
fof(f2008,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2007,f217]) ).
fof(f2009,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2008]) ).
fof(f2022,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f480,f477]) ).
fof(f2023,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2022,f212]) ).
fof(f2024,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2023]) ).
fof(f2031,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f428,f425]) ).
fof(f2032,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2031,f212]) ).
fof(f2033,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2032]) ).
fof(f2034,plain,
( ~ sQ137_spl
| op2(e21,op2(e23,e23)) = e23 ),
inference(forward_demodulation,[status(thm)],[f256,f939]) ).
fof(f2035,plain,
( ~ sQ137_spl
| op2(e21,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f256,f2034]) ).
fof(f2036,plain,
( ~ sQ132_spl
| op1(e11,op1(e13,e13)) = e13 ),
inference(forward_demodulation,[status(thm)],[f253,f920]) ).
fof(f2037,plain,
( ~ sQ132_spl
| op1(e11,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f253,f2036]) ).
fof(f2038,plain,
( sQ229_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f270,f1232]) ).
fof(f2039,plain,
( sQ229_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2038]) ).
fof(f2040,plain,
sQ229_spl,
inference(contradiction_clause,[status(thm)],[f2039]) ).
fof(f2047,plain,
( ~ sQ305_spl
| op2(e22,op2(e20,e23)) = e23 ),
inference(forward_demodulation,[status(thm)],[f1581,f1552]) ).
fof(f2048,plain,
( ~ sQ305_spl
| op2(e22,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f1581,f2047]) ).
fof(f2049,plain,
( ~ sQ301_spl
| op1(e12,op1(e10,e13)) = e13 ),
inference(forward_demodulation,[status(thm)],[f1568,f1535]) ).
fof(f2050,plain,
( ~ sQ301_spl
| op1(e12,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1568,f2049]) ).
fof(f2055,plain,
( ~ sQ287_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f270,f1476]) ).
fof(f2056,plain,
( ~ sQ287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2055,f223]) ).
fof(f2057,plain,
~ sQ287_spl,
inference(contradiction_clause,[status(thm)],[f2056]) ).
fof(f2058,plain,
( ~ sQ285_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1606,f1468]) ).
fof(f2059,plain,
( ~ sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2058,f221]) ).
fof(f2060,plain,
~ sQ285_spl,
inference(contradiction_clause,[status(thm)],[f2059]) ).
fof(f2061,plain,
( ~ sQ284_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1605,f1464]) ).
fof(f2062,plain,
( ~ sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2061,f219]) ).
fof(f2063,plain,
~ sQ284_spl,
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2064,plain,
( ~ sQ283_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f270,f1459]) ).
fof(f2065,plain,
( ~ sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2064,f222]) ).
fof(f2066,plain,
~ sQ283_spl,
inference(contradiction_clause,[status(thm)],[f2065]) ).
fof(f2067,plain,
( ~ sQ282_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1608,f1455]) ).
fof(f2068,plain,
( ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2067,f221]) ).
fof(f2069,plain,
~ sQ282_spl,
inference(contradiction_clause,[status(thm)],[f2068]) ).
fof(f2070,plain,
( ~ sQ280_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1605,f1447]) ).
fof(f2071,plain,
( ~ sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f218]) ).
fof(f2072,plain,
~ sQ280_spl,
inference(contradiction_clause,[status(thm)],[f2071]) ).
fof(f2073,plain,
( ~ sQ279_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f270,f1442]) ).
fof(f2074,plain,
( ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2073,f220]) ).
fof(f2075,plain,
~ sQ279_spl,
inference(contradiction_clause,[status(thm)],[f2074]) ).
fof(f2076,plain,
( ~ sQ278_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1608,f1438]) ).
fof(f2077,plain,
( ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2076,f219]) ).
fof(f2078,plain,
~ sQ278_spl,
inference(contradiction_clause,[status(thm)],[f2077]) ).
fof(f2079,plain,
( ~ sQ277_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1606,f1434]) ).
fof(f2080,plain,
( ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f218]) ).
fof(f2081,plain,
~ sQ277_spl,
inference(contradiction_clause,[status(thm)],[f2080]) ).
fof(f2086,plain,
( ~ sQ271_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f266,f1408]) ).
fof(f2087,plain,
( ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2086,f221]) ).
fof(f2088,plain,
~ sQ271_spl,
inference(contradiction_clause,[status(thm)],[f2087]) ).
fof(f2089,plain,
( ~ sQ270_spl
| ~ sQ274_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1421,f1404]) ).
fof(f2090,plain,
( ~ sQ270_spl
| ~ sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2089,f221]) ).
fof(f2091,plain,
( ~ sQ270_spl
| ~ sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f2090]) ).
fof(f2092,plain,
( ~ sQ269_spl
| ~ sQ273_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1417,f1400]) ).
fof(f2093,plain,
( ~ sQ269_spl
| ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2092,f221]) ).
fof(f2094,plain,
( ~ sQ269_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f2093]) ).
fof(f2098,plain,
( ~ sQ267_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f266,f1391]) ).
fof(f2099,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2098,f219]) ).
fof(f2100,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f2099]) ).
fof(f2101,plain,
( ~ sQ263_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f262,f1374]) ).
fof(f2102,plain,
( ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2101,f221]) ).
fof(f2103,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f2102]) ).
fof(f2111,plain,
( ~ sQ257_spl
| ~ sQ261_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1366,f1349]) ).
fof(f2112,plain,
( ~ sQ257_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2111,f221]) ).
fof(f2113,plain,
( ~ sQ257_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f2112]) ).
fof(f2114,plain,
( ~ sQ256_spl
| ~ sQ260_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1362,f1345]) ).
fof(f2115,plain,
( ~ sQ256_spl
| ~ sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2114,f221]) ).
fof(f2116,plain,
( ~ sQ256_spl
| ~ sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f2115]) ).
fof(f2117,plain,
( ~ sQ255_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f262,f1340]) ).
fof(f2118,plain,
( ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2117,f218]) ).
fof(f2119,plain,
~ sQ255_spl,
inference(contradiction_clause,[status(thm)],[f2118]) ).
fof(f2120,plain,
( ~ sQ251_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f258,f1323]) ).
fof(f2121,plain,
( ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f219]) ).
fof(f2122,plain,
~ sQ251_spl,
inference(contradiction_clause,[status(thm)],[f2121]) ).
fof(f2127,plain,
( ~ sQ247_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f258,f1306]) ).
fof(f2128,plain,
( ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2127,f218]) ).
fof(f2129,plain,
~ sQ247_spl,
inference(contradiction_clause,[status(thm)],[f2128]) ).
fof(f2139,plain,
( ~ sQ130_spl
| op1(op1(e13,e11),e10) = e11 ),
inference(backward_demodulation,[status(thm)],[f1556,f912]) ).
fof(f2142,plain,
( ~ sQ135_spl
| op2(op2(e23,e21),e20) = e21 ),
inference(backward_demodulation,[status(thm)],[f1569,f931]) ).
fof(f2154,plain,
h2(e11) != e20,
inference(forward_demodulation,[status(thm)],[f1569,f1593]) ).
fof(f2158,plain,
( ~ sQ265_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1383,f1598]) ).
fof(f2172,plain,
( ~ sQ199_spl
| h3(e11) = op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f253,f1134]) ).
fof(f2173,plain,
( ~ sQ199_spl
| h3(e11) = op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f266,f2172]) ).
fof(f2174,plain,
( ~ sQ199_spl
| h3(e11) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f2173]) ).
fof(f2176,plain,
( ~ sQ199_spl
| ~ sQ305_spl
| op2(e21,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f2178,f1602]) ).
fof(f2177,plain,
( ~ sQ199_spl
| ~ sQ305_spl
| e23 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f2178,f1601]) ).
fof(f2178,plain,
( ~ sQ199_spl
| ~ sQ305_spl
| h3(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f2048,f2174]) ).
fof(f2179,plain,
( ~ sQ187_spl
| h3(e12) = op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1568,f1098]) ).
fof(f2186,plain,
( ~ sQ176_spl
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f253,f1061]) ).
fof(f2187,plain,
( ~ sQ176_spl
| h2(e11) = op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f262,f2186]) ).
fof(f2188,plain,
( ~ sQ176_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f262,f2187]) ).
fof(f2189,plain,
( ~ sQ176_spl
| ~ sQ137_spl
| op2(e20,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f2192,f1595]) ).
fof(f2192,plain,
( ~ sQ176_spl
| ~ sQ137_spl
| h2(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f2035,f2188]) ).
fof(f2193,plain,
( ~ sQ164_spl
| h2(e12) = op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1568,f1025]) ).
fof(f2194,plain,
( ~ sQ164_spl
| ~ sQ254_spl
| e20 = op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1336,f2193]) ).
fof(f2195,plain,
( ~ sQ164_spl
| ~ sQ254_spl
| ~ sQ252_spl
| e20 = op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1328,f2194]) ).
fof(f2199,plain,
( ~ sQ164_spl
| ~ sQ254_spl
| ~ sQ252_spl
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f262,f2195]) ).
fof(f2200,plain,
( ~ sQ153_spl
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f253,f988]) ).
fof(f2201,plain,
( ~ sQ153_spl
| h1(e11) = op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f258,f2200]) ).
fof(f2202,plain,
( ~ sQ302_spl
| ~ sQ153_spl
| op2(op2(e20,e20),h1(e11)) = e20 ),
inference(backward_demodulation,[status(thm)],[f2204,f1540]) ).
fof(f2203,plain,
( ~ sQ153_spl
| h1(e11) != e22 ),
inference(backward_demodulation,[status(thm)],[f2204,f1578]) ).
fof(f2204,plain,
( ~ sQ153_spl
| h1(e11) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f258,f2201]) ).
fof(f2205,plain,
( ~ sQ141_spl
| h1(e12) = op2(h1(e10),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1568,f952]) ).
fof(f2206,plain,
( ~ sQ141_spl
| h1(e12) = op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f2205]) ).
fof(f2213,plain,
e20 != op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f1569,f209]) ).
fof(f2215,plain,
( ~ sQ122_spl
| op2(e23,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f853,f207]) ).
fof(f2220,plain,
( sQ220_spl
| h4(e10) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1556,f1619]) ).
fof(f2221,plain,
( sQ220_spl
| e20 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1605,f2220]) ).
fof(f2222,plain,
( sQ220_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1569,f2221]) ).
fof(f2223,plain,
( sQ220_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2222]) ).
fof(f2224,plain,
sQ220_spl,
inference(contradiction_clause,[status(thm)],[f2223]) ).
fof(f2225,plain,
op2(e23,e20) != e20,
inference(forward_demodulation,[status(thm)],[f1569,f206]) ).
fof(f2227,plain,
( ~ sQ164_spl
| ~ sQ254_spl
| ~ sQ252_spl
| e20 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2199,f172]) ).
fof(f2228,plain,
( ~ sQ164_spl
| ~ sQ254_spl
| ~ sQ252_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1569,f2227]) ).
fof(f2229,plain,
( ~ sQ164_spl
| ~ sQ254_spl
| ~ sQ252_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2228]) ).
fof(f2230,plain,
( ~ sQ164_spl
| ~ sQ254_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f2229]) ).
fof(f2231,plain,
( ~ sQ114_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f827,f2215]) ).
fof(f2232,plain,
( ~ sQ114_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f2231]) ).
fof(f2235,plain,
( ~ sQ111_spl
| op2(e22,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f817,f204]) ).
fof(f2242,plain,
( ~ sQ108_spl
| ~ sQ111_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f817,f808]) ).
fof(f2243,plain,
( ~ sQ108_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2242,f220]) ).
fof(f2244,plain,
( ~ sQ108_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f2243]) ).
fof(f2245,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f1580]) ).
fof(f2246,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f2245]) ).
fof(f2248,plain,
( ~ sQ92_spl
| op2(e21,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f756,f196]) ).
fof(f2260,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f2225]) ).
fof(f2261,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f2260]) ).
fof(f2262,plain,
( sQ185_spl
| ~ sQ264_spl
| h3(op1(e10,e11)) != op2(e20,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1379,f1093]) ).
fof(f2279,plain,
( sQ197_spl
| h3(e10) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1556,f1661]) ).
fof(f2302,plain,
( sQ174_spl
| h2(e10) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1556,f1677]) ).
fof(f2320,plain,
( ~ sQ87_spl
| e23 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f2325,f264]) ).
fof(f2325,plain,
( ~ sQ87_spl
| e23 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f264,f1831]) ).
fof(f2334,plain,
( ~ sQ104_spl
| ~ sQ305_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f2048,f795]) ).
fof(f2335,plain,
( ~ sQ104_spl
| ~ sQ305_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2334,f220]) ).
fof(f2336,plain,
( ~ sQ104_spl
| ~ sQ305_spl ),
inference(contradiction_clause,[status(thm)],[f2335]) ).
fof(f2340,plain,
( sQ151_spl
| h1(e10) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1556,f1693]) ).
fof(f2341,plain,
( sQ151_spl
| h1(e10) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f1582,f2340]) ).
fof(f2342,plain,
( sQ151_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2341]) ).
fof(f2343,plain,
sQ151_spl,
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2359,plain,
( ~ sQ64_spl
| ~ sQ153_spl
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f2204,f665]) ).
fof(f2360,plain,
( ~ sQ64_spl
| ~ sQ153_spl
| ~ sQ66_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1864,f2359]) ).
fof(f2361,plain,
( ~ sQ64_spl
| ~ sQ153_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2360,f219]) ).
fof(f2362,plain,
( ~ sQ64_spl
| ~ sQ153_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f2361]) ).
fof(f2363,plain,
( ~ sQ69_spl
| ~ sQ71_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f687,f681]) ).
fof(f2364,plain,
( ~ sQ69_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2363,f222]) ).
fof(f2365,plain,
( ~ sQ69_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2364]) ).
fof(f2370,plain,
( ~ sQ301_spl
| e13 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f2050,f157]) ).
fof(f2375,plain,
( sQ198_spl
| ~ sQ58_spl
| h3(e12) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f613,f1660]) ).
fof(f2376,plain,
e10 != op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f1556,f161]) ).
fof(f2378,plain,
( ~ sQ58_spl
| op1(e13,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f613,f159]) ).
fof(f2379,plain,
( ~ sQ301_spl
| e13 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f2050,f133]) ).
fof(f2381,plain,
( ~ sQ58_spl
| op1(e11,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f613,f132]) ).
fof(f2384,plain,
op1(e13,e10) != e10,
inference(forward_demodulation,[status(thm)],[f1556,f158]) ).
fof(f2385,plain,
op1(e12,e11) != e10,
inference(forward_demodulation,[status(thm)],[f1556,f127]) ).
fof(f2387,plain,
op1(e10,e11) != e10,
inference(forward_demodulation,[status(thm)],[f1556,f124]) ).
fof(f2388,plain,
( ~ sQ50_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f2378]) ).
fof(f2389,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2388]) ).
fof(f2393,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1877,f563,f576]) ).
fof(f2394,plain,
( ~ sQ47_spl
| ~ sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f577,f2370]) ).
fof(f2395,plain,
( ~ sQ47_spl
| ~ sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2398,plain,
( ~ sQ44_spl
| op1(e11,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f568,f137]) ).
fof(f2399,plain,
( ~ sQ44_spl
| op1(e12,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f568,f154]) ).
fof(f2401,plain,
( sQ195_spl
| ~ sQ44_spl
| h3(e10) != op2(h3(e12),e22) ),
inference(backward_demodulation,[status(thm)],[f568,f1663]) ).
fof(f2411,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f2384]) ).
fof(f2412,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f2411]) ).
fof(f2413,plain,
( ~ sQ18_spl
| e12 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f483,f146]) ).
fof(f2415,plain,
( ~ sQ18_spl
| e12 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f483,f147]) ).
fof(f2438,plain,
( sQ184_spl
| ~ sQ0_spl
| h3(e10) != op2(h3(e10),h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f425,f1090]) ).
fof(f2448,plain,
( ~ sQ5_spl
| e11 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f441,f123]) ).
fof(f2461,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f542,f2385]) ).
fof(f2462,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2466,plain,
( sQ286_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1608,f1473]) ).
fof(f2467,plain,
( sQ286_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2466]) ).
fof(f2468,plain,
sQ286_spl,
inference(contradiction_clause,[status(thm)],[f2467]) ).
fof(f2472,plain,
( sQ281_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1606,f1452]) ).
fof(f2473,plain,
( sQ281_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2472]) ).
fof(f2474,plain,
sQ281_spl,
inference(contradiction_clause,[status(thm)],[f2473]) ).
fof(f2478,plain,
( sQ276_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1605,f1431]) ).
fof(f2479,plain,
( sQ276_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2478]) ).
fof(f2480,plain,
sQ276_spl,
inference(contradiction_clause,[status(thm)],[f2479]) ).
fof(f2508,plain,
( ~ sQ130_spl
| op1(e10,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f1556,f2139]) ).
fof(f2509,plain,
( ~ sQ130_spl
| ~ sQ0_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f425,f2508]) ).
fof(f2510,plain,
( ~ sQ130_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2509,f212]) ).
fof(f2511,plain,
( ~ sQ130_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2510]) ).
fof(f2512,plain,
( ~ sQ135_spl
| op2(e20,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f1569,f2142]) ).
fof(f2526,plain,
( ~ sQ153_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f2203,f1314,f987]) ).
fof(f2531,plain,
op2(e20,e21) != e20,
inference(forward_demodulation,[status(thm)],[f1569,f172]) ).
fof(f2542,plain,
( ~ sQ253_spl
| ~ sQ261_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1366,f1332]) ).
fof(f2543,plain,
( ~ sQ253_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2542,f219]) ).
fof(f2544,plain,
( ~ sQ253_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f2543]) ).
fof(f2548,plain,
( ~ sQ118_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1569,f840]) ).
fof(f2549,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2548,f219]) ).
fof(f2550,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f2549]) ).
fof(f2553,plain,
( ~ sQ98_spl
| e22 != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f775,f169]) ).
fof(f2562,plain,
( ~ sQ120_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f847,f2213]) ).
fof(f2563,plain,
( ~ sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2562]) ).
fof(f2564,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f2563]) ).
fof(f2576,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f1572]) ).
fof(f2577,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f2576]) ).
fof(f2586,plain,
( ~ sQ265_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2158,f807,f1382]) ).
fof(f2588,plain,
( ~ sQ187_spl
| h3(e12) = op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f266,f2179]) ).
fof(f2589,plain,
( ~ sQ295_spl
| ~ sQ176_spl
| op2(h2(e11),op2(e21,e21)) = e21 ),
inference(forward_demodulation,[status(thm)],[f2188,f1509]) ).
fof(f2590,plain,
( ~ sQ295_spl
| ~ sQ176_spl
| op2(h2(e11),h2(e11)) = e21 ),
inference(forward_demodulation,[status(thm)],[f2188,f2589]) ).
fof(f2593,plain,
( ~ sQ137_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f2035,f738,f938]) ).
fof(f2612,plain,
( ~ sQ305_spl
| ~ sQ199_spl
| h3(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f2174,f2048]) ).
fof(f2614,plain,
( ~ sQ199_spl
| ~ sQ305_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f2177,f855,f1551,f1133]) ).
fof(f2616,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2174,f798]) ).
fof(f2617,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ305_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2612,f2616]) ).
fof(f2618,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ305_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2617,f222]) ).
fof(f2619,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ305_spl ),
inference(contradiction_clause,[status(thm)],[f2618]) ).
fof(f2624,plain,
( ~ sQ151_spl
| h1(e10) = op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1556,f982]) ).
fof(f2625,plain,
( ~ sQ151_spl
| h1(e10) = op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f258,f2624]) ).
fof(f2626,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f697,f1576]) ).
fof(f2627,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f2626]) ).
fof(f2629,plain,
( ~ sQ151_spl
| ~ sQ67_spl
| h1(e10) = op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f1863,f2625]) ).
fof(f2641,plain,
( ~ sQ67_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1863,f1585]) ).
fof(f2644,plain,
( ~ sQ54_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1556,f600]) ).
fof(f2645,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2644,f213]) ).
fof(f2646,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f2645]) ).
fof(f2647,plain,
( ~ sQ65_spl
| ~ sQ67_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1862,f668]) ).
fof(f2648,plain,
( ~ sQ65_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2647,f222]) ).
fof(f2649,plain,
( ~ sQ65_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f2648]) ).
fof(f2656,plain,
( ~ sQ56_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f607,f2376]) ).
fof(f2657,plain,
( ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2656]) ).
fof(f2658,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f2657]) ).
fof(f2661,plain,
( ~ sQ44_spl
| op1(e12,e12) != e10 ),
inference(forward_demodulation,[status(thm)],[f568,f157]) ).
fof(f2673,plain,
( ~ sQ292_spl
| ~ sQ31_spl
| op1(op1(e11,e13),e13) = e13 ),
inference(backward_demodulation,[status(thm)],[f525,f1496]) ).
fof(f2675,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2399,f528,f567]) ).
fof(f2681,plain,
( ~ sQ301_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2379,f615,f1534]) ).
fof(f2683,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f457,f1563]) ).
fof(f2684,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f2683]) ).
fof(f2688,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f1559]) ).
fof(f2689,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f2688]) ).
fof(f2698,plain,
( ~ sQ43_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1953,f550,f563]) ).
fof(f2700,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1956,f459,f563]) ).
fof(f2724,plain,
( ~ sQ17_spl
| e11 != op1(e12,e10) ),
inference(backward_demodulation,[status(thm)],[f480,f119]) ).
fof(f2727,plain,
( sQ211_spl
| ~ sQ17_spl
| h4(e11) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f480,f1639]) ).
fof(f2740,plain,
( ~ sQ7_spl
| e13 != op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f447,f143]) ).
fof(f2754,plain,
( ~ sQ298_spl
| ~ sQ2_spl
| op1(e12,op1(e10,e10)) = e10 ),
inference(forward_demodulation,[status(thm)],[f431,f1523]) ).
fof(f2755,plain,
( ~ sQ298_spl
| ~ sQ2_spl
| op1(e12,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f431,f2754]) ).
fof(f2756,plain,
( ~ sQ298_spl
| ~ sQ2_spl
| ~ sQ301_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f2050,f2755]) ).
fof(f2757,plain,
( ~ sQ298_spl
| ~ sQ2_spl
| ~ sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2756,f214]) ).
fof(f2758,plain,
( ~ sQ298_spl
| ~ sQ2_spl
| ~ sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f2757]) ).
fof(f2759,plain,
( sQ213_spl
| ~ sQ24_spl
| h4(e10) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f503,f1634]) ).
fof(f2760,plain,
( sQ213_spl
| ~ sQ24_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1605,f2759]) ).
fof(f2761,plain,
( sQ213_spl
| ~ sQ24_spl
| ~ sQ88_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f743,f2760]) ).
fof(f2762,plain,
( sQ213_spl
| ~ sQ24_spl
| ~ sQ88_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2761]) ).
fof(f2763,plain,
( sQ213_spl
| ~ sQ24_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f2762]) ).
fof(f2764,plain,
( ~ sQ296_spl
| ~ sQ88_spl
| op2(e20,op2(e21,e22)) = e22 ),
inference(forward_demodulation,[status(thm)],[f743,f1513]) ).
fof(f2765,plain,
( ~ sQ296_spl
| ~ sQ88_spl
| op2(e20,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f743,f2764]) ).
fof(f2766,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2448,f544,f440]) ).
fof(f2773,plain,
( ~ sQ300_spl
| ~ sQ8_spl
| op1(op1(e10,e12),e10) = e12 ),
inference(backward_demodulation,[status(thm)],[f451,f1531]) ).
fof(f2775,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f496,f490]) ).
fof(f2776,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2775,f213]) ).
fof(f2777,plain,
( ~ sQ20_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2776]) ).
fof(f2778,plain,
( ~ sQ8_spl
| e10 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f451,f129]) ).
fof(f2783,plain,
( sQ194_spl
| ~ sQ301_spl
| h3(e13) != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2050,f1120]) ).
fof(f2784,plain,
( sQ194_spl
| ~ sQ301_spl
| e22 != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f266,f2783]) ).
fof(f2794,plain,
( sQ140_spl
| ~ sQ8_spl
| h1(e10) != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f451,f950]) ).
fof(f2805,plain,
( ~ sQ245_spl
| e21 != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f1298,f1584]) ).
fof(f2806,plain,
( sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1589,f2302]) ).
fof(f2807,plain,
sQ174_spl,
inference(contradiction_clause,[status(thm)],[f2806]) ).
fof(f2816,plain,
( ~ sQ119_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1569,f843]) ).
fof(f2817,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2816,f220]) ).
fof(f2818,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f2817]) ).
fof(f2820,plain,
( ~ sQ90_spl
| ~ sQ88_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f743,f749]) ).
fof(f2821,plain,
( ~ sQ90_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2820,f219]) ).
fof(f2822,plain,
( ~ sQ90_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f2821]) ).
fof(f2834,plain,
( ~ sQ121_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f850,f1570]) ).
fof(f2835,plain,
( ~ sQ121_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2834]) ).
fof(f2836,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f2835]) ).
fof(f2837,plain,
( ~ sQ135_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2512,f667,f930]) ).
fof(f2847,plain,
( ~ sQ101_spl
| op2(e20,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f785,f171]) ).
fof(f2850,plain,
( ~ sQ84_spl
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f264,f730]) ).
fof(f2867,plain,
( ~ sQ297_spl
| ~ sQ95_spl
| op2(op2(e21,e23),e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f765,f1517]) ).
fof(f2881,plain,
( ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f814,f1579]) ).
fof(f2882,plain,
( ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2881]) ).
fof(f2883,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f2882]) ).
fof(f2886,plain,
( ~ sQ197_spl
| h3(e10) = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1556,f1128]) ).
fof(f2887,plain,
( ~ sQ197_spl
| h3(e10) = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f266,f2886]) ).
fof(f2904,plain,
( sQ191_spl
| ~ sQ31_spl
| h3(e13) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f525,f1664]) ).
fof(f2905,plain,
( sQ191_spl
| ~ sQ31_spl
| e22 != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f266,f2904]) ).
fof(f2931,plain,
( ~ sQ176_spl
| ~ sQ87_spl
| h2(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f2320,f2188]) ).
fof(f2942,plain,
( sQ305_spl
| op2(e22,op2(e20,e23)) != e23 ),
inference(forward_demodulation,[status(thm)],[f1581,f1553]) ).
fof(f2943,plain,
( sQ305_spl
| op2(e22,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f1581,f2942]) ).
fof(f2944,plain,
( sQ305_spl
| h3(e11) != e23 ),
inference(forward_demodulation,[status(thm)],[f268,f2943]) ).
fof(f2948,plain,
( ~ sQ176_spl
| ~ sQ137_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f2189,f686,f938,f1060]) ).
fof(f2976,plain,
( ~ sQ239_spl
| ~ sQ108_spl
| op2(e20,op2(e22,e23)) = e23 ),
inference(forward_demodulation,[status(thm)],[f808,f1271]) ).
fof(f2977,plain,
( ~ sQ239_spl
| ~ sQ108_spl
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f808,f2976]) ).
fof(f2982,plain,
( ~ sQ106_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f1792,f1416,f800]) ).
fof(f2987,plain,
( ~ sQ304_spl
| ~ sQ75_spl
| op2(op2(e20,e22),e23) = e22 ),
inference(backward_demodulation,[status(thm)],[f700,f1548]) ).
fof(f2994,plain,
( ~ sQ55_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1556,f603]) ).
fof(f2995,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2994,f214]) ).
fof(f2996,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f2995]) ).
fof(f2998,plain,
( ~ sQ34_spl
| e12 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f535,f121]) ).
fof(f3000,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| h1(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1281,f2625]) ).
fof(f3005,plain,
( ~ sQ153_spl
| ~ sQ241_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1281,f2204]) ).
fof(f3006,plain,
( ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ239_spl
| ~ sQ108_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2977,f3005]) ).
fof(f3007,plain,
( ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ239_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3006,f220]) ).
fof(f3008,plain,
( ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ239_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f3007]) ).
fof(f3010,plain,
( sQ142_spl
| ~ sQ17_spl
| h1(e11) != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f480,f956]) ).
fof(f3025,plain,
( ~ sQ57_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f610,f1557]) ).
fof(f3026,plain,
( ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3025]) ).
fof(f3027,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f3026]) ).
fof(f3033,plain,
( sQ196_spl
| ~ sQ51_spl
| e22 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f266,f1901]) ).
fof(f3035,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1904,f433,f589]) ).
fof(f3045,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f535,f532]) ).
fof(f3046,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3045,f215]) ).
fof(f3047,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f3046]) ).
fof(f3052,plain,
( ~ sQ101_spl
| op2(e22,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f785,f200]) ).
fof(f3060,plain,
( ~ sQ300_spl
| ~ sQ8_spl
| op1(e10,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f451,f2773]) ).
fof(f3061,plain,
( ~ sQ300_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3060,f1565]) ).
fof(f3062,plain,
( ~ sQ300_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f3061]) ).
fof(f3071,plain,
( ~ sQ174_spl
| h2(e10) = op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1556,f1055]) ).
fof(f3075,plain,
( ~ sQ115_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f1725,f777,f829]) ).
fof(f3079,plain,
( ~ sQ134_spl
| ~ sQ115_spl
| op2(op2(e23,e20),e23) = e20 ),
inference(backward_demodulation,[status(thm)],[f830,f927]) ).
fof(f3096,plain,
( ~ sQ82_spl
| ~ sQ81_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f720,f723]) ).
fof(f3097,plain,
( ~ sQ82_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3096,f221]) ).
fof(f3098,plain,
( ~ sQ82_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f3097]) ).
fof(f3138,plain,
( ~ sQ101_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f2847,f680,f784]) ).
fof(f3153,plain,
( sQ181_spl
| ~ sQ176_spl
| ~ sQ87_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2931,f1078]) ).
fof(f3154,plain,
( sQ181_spl
| ~ sQ176_spl
| ~ sQ87_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3153]) ).
fof(f3155,plain,
( sQ181_spl
| ~ sQ176_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f3154]) ).
fof(f3170,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f1577]) ).
fof(f3171,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f3170]) ).
fof(f3181,plain,
( ~ sQ304_spl
| ~ sQ75_spl
| op2(e23,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f700,f2987]) ).
fof(f3182,plain,
( ~ sQ304_spl
| ~ sQ75_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f256,f3181]) ).
fof(f3183,plain,
( ~ sQ304_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3182,f221]) ).
fof(f3184,plain,
( ~ sQ304_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3183]) ).
fof(f3192,plain,
( ~ sQ7_spl
| e13 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f447,f122]) ).
fof(f3198,plain,
( ~ sQ7_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2740,f459,f446]) ).
fof(f3207,plain,
( ~ sQ153_spl
| ~ sQ65_spl
| h1(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f668,f2204]) ).
fof(f3208,plain,
( ~ sQ153_spl
| ~ sQ65_spl
| sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3207,f1299]) ).
fof(f3209,plain,
( ~ sQ153_spl
| ~ sQ65_spl
| sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f3208]) ).
fof(f3258,plain,
( ~ sQ38_spl
| e12 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f548,f155]) ).
fof(f3263,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2661,f554,f567]) ).
fof(f3265,plain,
( sQ301_spl
| op1(e12,op1(e10,e13)) != e13 ),
inference(forward_demodulation,[status(thm)],[f1568,f1536]) ).
fof(f3266,plain,
( sQ301_spl
| op1(e12,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f1568,f3265]) ).
fof(f3273,plain,
( ~ sQ1_spl
| e11 != op1(e12,e10) ),
inference(backward_demodulation,[status(thm)],[f428,f117]) ).
fof(f3289,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1892,f563,f615]) ).
fof(f3293,plain,
( ~ sQ131_spl
| ~ sQ59_spl
| op1(op1(e13,e12),e13) = e12 ),
inference(backward_demodulation,[status(thm)],[f616,f916]) ).
fof(f3324,plain,
( ~ sQ134_spl
| ~ sQ115_spl
| op2(e23,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f830,f3079]) ).
fof(f3325,plain,
( ~ sQ134_spl
| ~ sQ115_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f256,f3324]) ).
fof(f3326,plain,
( ~ sQ134_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3325,f218]) ).
fof(f3327,plain,
( ~ sQ134_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3326]) ).
fof(f3328,plain,
( ~ sQ72_spl
| ~ sQ75_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f700,f691]) ).
fof(f3329,plain,
( ~ sQ72_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3328,f220]) ).
fof(f3330,plain,
( ~ sQ72_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3329]) ).
fof(f3382,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2616,f1399,f1133,f797]) ).
fof(f3383,plain,
( ~ sQ85_spl
| ~ sQ87_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2320,f733]) ).
fof(f3384,plain,
( ~ sQ85_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3383,f222]) ).
fof(f3385,plain,
( ~ sQ85_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f3384]) ).
fof(f3408,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f2531]) ).
fof(f3409,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f3408]) ).
fof(f3413,plain,
( ~ sQ141_spl
| ~ sQ240_spl
| h1(e12) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f1277,f2206]) ).
fof(f3417,plain,
( ~ sQ151_spl
| ~ sQ240_spl
| e20 = op2(e20,h1(e11)) ),
inference(backward_demodulation,[status(thm)],[f1277,f2625]) ).
fof(f3421,plain,
( ~ sQ245_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f2805,f680,f1297]) ).
fof(f3431,plain,
( ~ sQ33_spl
| e11 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f532,f153]) ).
fof(f3432,plain,
( ~ sQ33_spl
| ~ sQ41_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f558,f3431]) ).
fof(f3433,plain,
( ~ sQ33_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3432]) ).
fof(f3434,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3433]) ).
fof(f3438,plain,
( ~ sQ301_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f2050,f563,f1534]) ).
fof(f3448,plain,
( sQ186_spl
| ~ sQ9_spl
| h3(e11) != op2(h3(e10),h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f454,f1096]) ).
fof(f3454,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2724,f531,f479]) ).
fof(f3455,plain,
( sQ211_spl
| ~ sQ17_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1606,f2727]) ).
fof(f3482,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f532,f538]) ).
fof(f3483,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3482,f216]) ).
fof(f3484,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3483]) ).
fof(f3492,plain,
( ~ sQ58_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2381,f508,f612]) ).
fof(f3504,plain,
( sQ207_spl
| ~ sQ0_spl
| h4(e10) != h1(e11) ),
inference(backward_demodulation,[status(thm)],[f425,f1653]) ).
fof(f3513,plain,
( ~ sQ300_spl
| ~ sQ9_spl
| op1(e11,op1(e10,e12)) = e12 ),
inference(forward_demodulation,[status(thm)],[f454,f1531]) ).
fof(f3515,plain,
( ~ sQ300_spl
| ~ sQ9_spl
| op1(e11,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f454,f3513]) ).
fof(f3517,plain,
( ~ sQ18_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2413,f495,f482]) ).
fof(f3519,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2415,f508,f482]) ).
fof(f3528,plain,
( ~ sQ18_spl
| e12 != op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f483,f146]) ).
fof(f3529,plain,
( ~ sQ18_spl
| ~ sQ300_spl
| ~ sQ9_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f3515,f3528]) ).
fof(f3530,plain,
( ~ sQ18_spl
| ~ sQ300_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3529]) ).
fof(f3531,plain,
( ~ sQ18_spl
| ~ sQ300_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f3530]) ).
fof(f3565,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3192,f498,f446]) ).
fof(f3617,plain,
( ~ sQ297_spl
| ~ sQ92_spl
| op2(e20,op2(e21,e23)) = e23 ),
inference(forward_demodulation,[status(thm)],[f756,f1517]) ).
fof(f3619,plain,
( ~ sQ297_spl
| ~ sQ92_spl
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f756,f3617]) ).
fof(f3624,plain,
( ~ sQ174_spl
| h2(e10) = op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f262,f3071]) ).
fof(f3676,plain,
( ~ sQ98_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f2553,f826,f774]) ).
fof(f3679,plain,
( ~ sQ84_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2850,f1331,f729]) ).
fof(f3690,plain,
( ~ sQ100_spl
| ~ sQ102_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f788,f782]) ).
fof(f3691,plain,
( ~ sQ100_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3690,f219]) ).
fof(f3692,plain,
( ~ sQ100_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f3691]) ).
fof(f3693,plain,
( sQ137_spl
| op2(e21,op2(e23,e23)) != e23 ),
inference(forward_demodulation,[status(thm)],[f256,f940]) ).
fof(f3694,plain,
( sQ137_spl
| op2(e21,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f256,f3693]) ).
fof(f3695,plain,
( ~ sQ239_spl
| ~ sQ111_spl
| op2(e23,op2(e22,e23)) = e23 ),
inference(forward_demodulation,[status(thm)],[f817,f1271]) ).
fof(f3696,plain,
( ~ sQ239_spl
| ~ sQ111_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f817,f3695]) ).
fof(f3697,plain,
( ~ sQ239_spl
| ~ sQ111_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f256,f3696]) ).
fof(f3698,plain,
( ~ sQ239_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3697,f222]) ).
fof(f3699,plain,
( ~ sQ239_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3698]) ).
fof(f3706,plain,
( ~ sQ151_spl
| ~ sQ67_spl
| ~ sQ240_spl
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1277,f2629]) ).
fof(f3707,plain,
( ~ sQ151_spl
| ~ sQ67_spl
| ~ sQ240_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1581,f3706]) ).
fof(f3708,plain,
( ~ sQ151_spl
| ~ sQ67_spl
| ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3707,f219]) ).
fof(f3709,plain,
( ~ sQ151_spl
| ~ sQ67_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f3708]) ).
fof(f3713,plain,
( ~ sQ67_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f2641,f829,f673]) ).
fof(f3720,plain,
( ~ sQ64_spl
| ~ sQ153_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2359,f1280,f987,f664]) ).
fof(f3721,plain,
( ~ sQ236_spl
| ~ sQ97_spl
| op2(e21,op2(e22,e20)) = e20 ),
inference(forward_demodulation,[status(thm)],[f772,f1259]) ).
fof(f3723,plain,
( ~ sQ236_spl
| ~ sQ97_spl
| op2(e21,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f772,f3721]) ).
fof(f3745,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3258,f560,f547]) ).
fof(f3749,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2398,f515,f567]) ).
fof(f3757,plain,
( ~ sQ132_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2037,f498,f919]) ).
fof(f3763,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3273,f531,f427]) ).
fof(f3773,plain,
( sQ300_spl
| ~ sQ8_spl
| op1(op1(e10,e12),e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f451,f1532]) ).
fof(f3774,plain,
( ~ sQ8_spl
| e10 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f451,f129]) ).
fof(f3800,plain,
( ~ sQ8_spl
| e10 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f451,f128]) ).
fof(f3804,plain,
( ~ sQ291_spl
| ~ sQ25_spl
| op1(e11,op1(e11,e12)) = e12 ),
inference(forward_demodulation,[status(thm)],[f506,f1492]) ).
fof(f3808,plain,
( ~ sQ291_spl
| ~ sQ25_spl
| op1(e11,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f506,f3804]) ).
fof(f3812,plain,
( ~ sQ290_spl
| ~ sQ291_spl
| ~ sQ25_spl
| op1(e12,op1(e11,e11)) = e11 ),
inference(forward_demodulation,[status(thm)],[f3808,f1488]) ).
fof(f3815,plain,
( ~ sQ290_spl
| ~ sQ291_spl
| ~ sQ25_spl
| op1(e12,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f3817,f153]) ).
fof(f3817,plain,
( ~ sQ290_spl
| ~ sQ291_spl
| ~ sQ25_spl
| op1(e12,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f3808,f3812]) ).
fof(f3818,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| op1(e10,op1(e12,e13)) = e13 ),
inference(forward_demodulation,[status(thm)],[f568,f1250]) ).
fof(f3819,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| op1(e10,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f568,f3818]) ).
fof(f3820,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| ~ sQ1_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f428,f3819]) ).
fof(f3821,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3820,f216]) ).
fof(f3822,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3821]) ).
fof(f3823,plain,
( sQ197_spl
| h3(e10) != h3(e10) ),
inference(forward_demodulation,[status(thm)],[f1597,f2279]) ).
fof(f3824,plain,
( sQ197_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3823]) ).
fof(f3825,plain,
sQ197_spl,
inference(contradiction_clause,[status(thm)],[f3824]) ).
fof(f3848,plain,
( ~ sQ86_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f1835,f1365,f735]) ).
fof(f3869,plain,
( ~ sQ269_spl
| ~ sQ107_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1781,f1400]) ).
fof(f3870,plain,
( ~ sQ269_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3869,f222]) ).
fof(f3871,plain,
( ~ sQ269_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3870]) ).
fof(f3892,plain,
( ~ sQ115_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1726,f725,f829]) ).
fof(f3904,plain,
( sQ204_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1781,f1151]) ).
fof(f3905,plain,
( sQ204_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3904]) ).
fof(f3906,plain,
( sQ204_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3905]) ).
fof(f3913,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f522,f1567]) ).
fof(f3914,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f3913]) ).
fof(f3915,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f1561]) ).
fof(f3916,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f3915]) ).
fof(f3927,plain,
( ~ sQ176_spl
| ~ sQ85_spl
| e21 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f3934,f2188]) ).
fof(f3931,plain,
( ~ sQ85_spl
| ~ sQ176_spl
| h2(e10) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f3934,f1589]) ).
fof(f3934,plain,
( ~ sQ85_spl
| ~ sQ176_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2188,f733]) ).
fof(f3942,plain,
( ~ sQ129_spl
| ~ sQ50_spl
| op1(op1(e13,e10),e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f587,f908]) ).
fof(f3956,plain,
( ~ sQ131_spl
| ~ sQ59_spl
| op1(e13,e13) = e12 ),
inference(backward_demodulation,[status(thm)],[f616,f3293]) ).
fof(f3988,plain,
( ~ sQ153_spl
| ~ sQ239_spl
| ~ sQ108_spl
| e23 != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f4001,f1586]) ).
fof(f3991,plain,
( ~ sQ153_spl
| ~ sQ239_spl
| ~ sQ108_spl
| e23 != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f4001,f1584]) ).
fof(f4001,plain,
( ~ sQ153_spl
| ~ sQ239_spl
| ~ sQ108_spl
| h1(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f2977,f2204]) ).
fof(f4016,plain,
( ~ sQ6_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f444,f1564]) ).
fof(f4017,plain,
( ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4016]) ).
fof(f4018,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f4017]) ).
fof(f4022,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f428,f434]) ).
fof(f4023,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4022,f216]) ).
fof(f4024,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f4023]) ).
fof(f4026,plain,
( sQ300_spl
| ~ sQ8_spl
| op1(e10,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f451,f3773]) ).
fof(f4052,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f577,f571]) ).
fof(f4053,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4052,f216]) ).
fof(f4054,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f4053]) ).
fof(f4074,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f2387]) ).
fof(f4075,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f4074]) ).
fof(f4079,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2778,f554,f450]) ).
fof(f4082,plain,
( ~ sQ174_spl
| ~ sQ85_spl
| ~ sQ176_spl
| h2(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3934,f3624]) ).
fof(f4090,plain,
( ~ sQ164_spl
| h2(e12) = op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f262,f2193]) ).
fof(f4126,plain,
( ~ sQ236_spl
| ~ sQ97_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f3723,f729,f771,f1258]) ).
fof(f4130,plain,
( ~ sQ211_spl
| h4(op1(e11,e10)) = op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1606,f1174]) ).
fof(f4131,plain,
( ~ sQ211_spl
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1605,f4130]) ).
fof(f4165,plain,
( sQ305_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f2944,f1149,f1551]) ).
fof(f4169,plain,
( ~ sQ129_spl
| ~ sQ50_spl
| op1(e12,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f587,f3942]) ).
fof(f4170,plain,
( ~ sQ129_spl
| ~ sQ50_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4169,f3774]) ).
fof(f4171,plain,
( ~ sQ129_spl
| ~ sQ50_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4170]) ).
fof(f4174,plain,
( ~ sQ153_spl
| ~ sQ239_spl
| ~ sQ108_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f3988,f777,f807,f1270,f987]) ).
fof(f4176,plain,
( ~ sQ153_spl
| ~ sQ239_spl
| ~ sQ108_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f3991,f686,f807,f1270,f987]) ).
fof(f4205,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3800,f502,f450]) ).
fof(f4242,plain,
( sQ300_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f4026,f430,f450,f1530]) ).
fof(f4256,plain,
( ~ sQ130_spl
| e11 != op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f2508,f140]) ).
fof(f4257,plain,
( ~ sQ130_spl
| ~ sQ5_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f441,f4256]) ).
fof(f4258,plain,
( ~ sQ130_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4257]) ).
fof(f4259,plain,
( ~ sQ130_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f4258]) ).
fof(f4312,plain,
( ~ sQ273_spl
| e22 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1417,f1601]) ).
fof(f4355,plain,
( ~ sQ213_spl
| h4(op1(e11,e12)) = op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1606,f1180]) ).
fof(f4356,plain,
( ~ sQ213_spl
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1608,f4355]) ).
fof(f4365,plain,
( ~ sQ213_spl
| ~ sQ88_spl
| h4(op1(e11,e12)) = e20 ),
inference(backward_demodulation,[status(thm)],[f743,f4356]) ).
fof(f4368,plain,
( ~ sQ296_spl
| ~ sQ88_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f2765,f670,f742,f1512]) ).
fof(f4385,plain,
( ~ sQ295_spl
| ~ sQ176_spl
| ~ sQ261_spl
| op2(e22,h2(e11)) = e21 ),
inference(forward_demodulation,[status(thm)],[f1366,f2590]) ).
fof(f4386,plain,
( ~ sQ295_spl
| ~ sQ176_spl
| ~ sQ261_spl
| op2(e22,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f1366,f4385]) ).
fof(f4387,plain,
( ~ sQ295_spl
| ~ sQ176_spl
| ~ sQ261_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f268,f4386]) ).
fof(f4393,plain,
( ~ sQ234_spl
| ~ sQ47_spl
| op1(e13,op1(e12,e13)) = e13 ),
inference(forward_demodulation,[status(thm)],[f577,f1250]) ).
fof(f4394,plain,
( ~ sQ234_spl
| ~ sQ47_spl
| op1(e13,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f577,f4393]) ).
fof(f4395,plain,
( ~ sQ234_spl
| ~ sQ47_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f253,f4394]) ).
fof(f4396,plain,
( ~ sQ234_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4395,f216]) ).
fof(f4397,plain,
( ~ sQ234_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f4396]) ).
fof(f4413,plain,
( ~ sQ131_spl
| ~ sQ59_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f3956,f625,f615,f915]) ).
fof(f4461,plain,
( ~ sQ297_spl
| ~ sQ95_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f765,f2867]) ).
fof(f4462,plain,
( ~ sQ297_spl
| ~ sQ95_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f256,f4461]) ).
fof(f4463,plain,
( ~ sQ297_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4462,f222]) ).
fof(f4464,plain,
( ~ sQ297_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f4463]) ).
fof(f4467,plain,
( ~ sQ153_spl
| ~ sQ241_spl
| e20 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f1281,f2204]) ).
fof(f4474,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| ~ sQ248_spl
| e22 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1311,f3000]) ).
fof(f4475,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| ~ sQ248_spl
| ~ sQ153_spl
| e22 = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2204,f4474]) ).
fof(f4476,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| ~ sQ248_spl
| ~ sQ153_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1281,f4475]) ).
fof(f4477,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| ~ sQ248_spl
| ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4476,f219]) ).
fof(f4478,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| ~ sQ248_spl
| ~ sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f4477]) ).
fof(f4484,plain,
( sQ193_spl
| ~ sQ37_spl
| h3(e11) != op2(h3(e12),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f545,f1117]) ).
fof(f4507,plain,
( sQ137_spl
| ~ sQ176_spl
| h2(e11) != e23 ),
inference(backward_demodulation,[status(thm)],[f2188,f3694]) ).
fof(f4532,plain,
( ~ sQ111_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f2235,f790,f816]) ).
fof(f4540,plain,
( ~ sQ92_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2248,f716,f755]) ).
fof(f4550,plain,
( ~ sQ297_spl
| ~ sQ92_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3619,f673,f755,f1516]) ).
fof(f4577,plain,
( sQ207_spl
| ~ sQ0_spl
| e20 != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1605,f3504]) ).
fof(f4597,plain,
( sQ190_spl
| ~ sQ24_spl
| h3(e10) != op2(h3(e11),h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f503,f1108]) ).
fof(f4631,plain,
( sQ192_spl
| ~ sQ34_spl
| h3(e12) != op2(h3(e12),h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f535,f1114]) ).
fof(f4639,plain,
( sQ188_spl
| ~ sQ17_spl
| h3(e11) != op2(h3(e11),h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f480,f1102]) ).
fof(f4641,plain,
( sQ165_spl
| ~ sQ17_spl
| h2(e11) != op2(h2(e11),h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f480,f1029]) ).
fof(f4720,plain,
( ~ sQ176_spl
| ~ sQ261_spl
| e22 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1366,f2188]) ).
fof(f4741,plain,
( ~ sQ295_spl
| ~ sQ176_spl
| ~ sQ261_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f4387,f1399,f1365,f1060,f1508]) ).
fof(f4795,plain,
( sQ137_spl
| ~ sQ176_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f4507,f1076,f1060,f938]) ).
fof(f5005,plain,
( sQ211_spl
| ~ sQ17_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f3455,f719,f479,f1173]) ).
fof(f5097,plain,
( ~ sQ294_spl
| ~ sQ81_spl
| op2(op2(e21,e20),e21) = e20 ),
inference(backward_demodulation,[status(thm)],[f720,f1505]) ).
fof(f5143,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f564,f558]) ).
fof(f5144,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5143,f216]) ).
fof(f5145,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f5144]) ).
fof(f5198,plain,
( ~ sQ294_spl
| ~ sQ81_spl
| op2(e21,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f720,f5097]) ).
fof(f5199,plain,
( ~ sQ294_spl
| ~ sQ81_spl
| ~ sQ87_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f2320,f5198]) ).
fof(f5200,plain,
( ~ sQ294_spl
| ~ sQ81_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5199,f220]) ).
fof(f5201,plain,
( ~ sQ294_spl
| ~ sQ81_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f5200]) ).
fof(f5210,plain,
( sQ208_spl
| ~ sQ71_spl
| ~ sQ7_spl
| h4(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f447,f1833]) ).
fof(f5211,plain,
( sQ208_spl
| ~ sQ71_spl
| ~ sQ7_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f270,f5210]) ).
fof(f5212,plain,
( sQ208_spl
| ~ sQ71_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5211]) ).
fof(f5213,plain,
( sQ208_spl
| ~ sQ71_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f5212]) ).
fof(f5220,plain,
( ~ sQ176_spl
| ~ sQ261_spl
| e22 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f5228,f2188]) ).
fof(f5225,plain,
( ~ sQ176_spl
| ~ sQ261_spl
| h2(e10) = op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f5228,f1589]) ).
fof(f5228,plain,
( ~ sQ176_spl
| ~ sQ261_spl
| e22 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f2188,f4720]) ).
fof(f5234,plain,
( ~ sQ199_spl
| ~ sQ305_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f2176,f751,f1551,f1133]) ).
fof(f5241,plain,
( ~ sQ273_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f4312,f852,f1416]) ).
fof(f5251,plain,
( ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| h3(e10) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2612,f2887]) ).
fof(f5263,plain,
( ~ sQ101_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f3052,f771,f784]) ).
fof(f5272,plain,
( ~ sQ302_spl
| ~ sQ153_spl
| op2(h1(e11),h1(e11)) = e20 ),
inference(forward_demodulation,[status(thm)],[f2204,f2202]) ).
fof(f5323,plain,
( ~ sQ291_spl
| ~ sQ25_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3808,f495,f505,f1491]) ).
fof(f5324,plain,
( ~ sQ290_spl
| ~ sQ291_spl
| ~ sQ25_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3815,f531,f505,f1491,f1487]) ).
fof(f5328,plain,
( ~ sQ21_spl
| op1(e10,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f493,f122]) ).
fof(f5359,plain,
( ~ sQ5_spl
| e11 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f441,f143]) ).
fof(f5381,plain,
( ~ sQ292_spl
| ~ sQ28_spl
| op1(op1(e11,e13),e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f516,f1496]) ).
fof(f5406,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f4577,f1280,f424,f1161]) ).
fof(f5428,plain,
( sQ139_spl
| ~ sQ5_spl
| h1(e11) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f441,f947]) ).
fof(f5447,plain,
( ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| h3(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f5251,f808]) ).
fof(f5448,plain,
( ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5447,f1380]) ).
fof(f5449,plain,
( ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f5448]) ).
fof(f5507,plain,
( ~ sQ304_spl
| ~ sQ73_spl
| op2(op2(e20,e22),e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f694,f1548]) ).
fof(f5510,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ153_spl
| ~ sQ241_spl
| h1(e11) != op2(h1(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f5521,f5428]) ).
fof(f5515,plain,
( ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ241_spl
| op2(h1(e11),e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f5521,f5272]) ).
fof(f5516,plain,
( ~ sQ153_spl
| ~ sQ241_spl
| e20 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f5521,f2204]) ).
fof(f5517,plain,
( ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ241_spl
| h1(e10) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f5521,f2625]) ).
fof(f5521,plain,
( ~ sQ153_spl
| ~ sQ241_spl
| e20 = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2204,f4467]) ).
fof(f5523,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| ~ sQ153_spl
| h1(e10) = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2204,f3000]) ).
fof(f5524,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| ~ sQ153_spl
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f5521,f5523]) ).
fof(f5525,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| ~ sQ153_spl
| sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5524,f1278]) ).
fof(f5526,plain,
( ~ sQ151_spl
| ~ sQ241_spl
| ~ sQ153_spl
| sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f5525]) ).
fof(f5549,plain,
( sQ298_spl
| ~ sQ0_spl
| op1(e10,op1(e10,e10)) != e10 ),
inference(forward_demodulation,[status(thm)],[f425,f1524]) ).
fof(f5550,plain,
( sQ298_spl
| ~ sQ0_spl
| op1(e10,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f425,f5549]) ).
fof(f5551,plain,
( sQ298_spl
| ~ sQ0_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f425,f5550]) ).
fof(f5552,plain,
( sQ298_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5551]) ).
fof(f5553,plain,
( sQ298_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f5552]) ).
fof(f5580,plain,
( ~ sQ176_spl
| ~ sQ85_spl
| e21 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f2188,f3927]) ).
fof(f5581,plain,
( ~ sQ176_spl
| ~ sQ85_spl
| sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5580,f1350]) ).
fof(f5582,plain,
( ~ sQ176_spl
| ~ sQ85_spl
| sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f5581]) ).
fof(f5594,plain,
( ~ sQ85_spl
| ~ sQ176_spl
| h2(e10) = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f2188,f3931]) ).
fof(f5597,plain,
( ~ sQ85_spl
| ~ sQ176_spl
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f5594,f3934]) ).
fof(f5598,plain,
( ~ sQ85_spl
| ~ sQ176_spl
| sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5597,f1346]) ).
fof(f5599,plain,
( ~ sQ85_spl
| ~ sQ176_spl
| sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f5598]) ).
fof(f5604,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f5328,f440,f492]) ).
fof(f5606,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f5359,f453,f440]) ).
fof(f5611,plain,
( sQ191_spl
| ~ sQ31_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e22 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2612,f2905]) ).
fof(f5624,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| ~ sQ0_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f425,f3819]) ).
fof(f5625,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5624,f214]) ).
fof(f5626,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f5625]) ).
fof(f5667,plain,
( ~ sQ122_spl
| sQ191_spl
| ~ sQ31_spl
| ~ sQ305_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f853,f5611]) ).
fof(f5668,plain,
( ~ sQ122_spl
| sQ191_spl
| ~ sQ31_spl
| ~ sQ305_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f5667]) ).
fof(f5756,plain,
( ~ sQ304_spl
| ~ sQ73_spl
| op2(e21,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f694,f5507]) ).
fof(f5757,plain,
( ~ sQ304_spl
| ~ sQ73_spl
| ~ sQ174_spl
| ~ sQ85_spl
| ~ sQ176_spl
| h2(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f4082,f5756]) ).
fof(f5758,plain,
( ~ sQ304_spl
| ~ sQ73_spl
| ~ sQ174_spl
| ~ sQ85_spl
| ~ sQ176_spl
| sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5757,f1363]) ).
fof(f5759,plain,
( ~ sQ304_spl
| ~ sQ73_spl
| ~ sQ174_spl
| ~ sQ85_spl
| ~ sQ176_spl
| sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f5758]) ).
fof(f5799,plain,
( sQ189_spl
| ~ sQ107_spl
| ~ sQ305_spl
| ~ sQ199_spl
| h3(op1(e11,e11)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2612,f1774]) ).
fof(f5800,plain,
( sQ189_spl
| ~ sQ107_spl
| ~ sQ305_spl
| ~ sQ199_spl
| h3(op1(e11,e11)) != e21 ),
inference(forward_demodulation,[status(thm)],[f256,f5799]) ).
fof(f5835,plain,
( ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ245_spl
| op2(e21,h1(e11)) = e20 ),
inference(forward_demodulation,[status(thm)],[f1298,f5272]) ).
fof(f5837,plain,
( ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ245_spl
| op2(e21,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f1298,f5835]) ).
fof(f5853,plain,
( sQ196_spl
| ~ sQ51_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f5447,f3033]) ).
fof(f5880,plain,
( ~ sQ176_spl
| ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ245_spl
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f5837,f2188]) ).
fof(f5881,plain,
( ~ sQ176_spl
| ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ245_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5880,f2154]) ).
fof(f5882,plain,
( ~ sQ176_spl
| ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ245_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5881]) ).
fof(f5883,plain,
( ~ sQ176_spl
| ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f5882]) ).
fof(f5898,plain,
( ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| h3(e12) = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f5447,f2588]) ).
fof(f5904,plain,
( ~ sQ272_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f5447,f1413]) ).
fof(f5905,plain,
( ~ sQ272_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5904,f219]) ).
fof(f5906,plain,
( ~ sQ272_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f5905]) ).
fof(f5907,plain,
( sQ259_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f262,f1358]) ).
fof(f5908,plain,
( sQ259_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5907]) ).
fof(f5909,plain,
sQ259_spl,
inference(contradiction_clause,[status(thm)],[f5908]) ).
fof(f5918,plain,
( ~ sQ176_spl
| ~ sQ261_spl
| h2(e10) = op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f5922,f1589]) ).
fof(f5922,plain,
( ~ sQ176_spl
| ~ sQ261_spl
| e22 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f2188,f5220]) ).
fof(f5931,plain,
( ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ241_spl
| op2(e20,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f5939,f5515]) ).
fof(f5939,plain,
( ~ sQ153_spl
| ~ sQ241_spl
| e20 = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2204,f5516]) ).
fof(f5940,plain,
( ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ241_spl
| h1(e10) = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2204,f5517]) ).
fof(f5944,plain,
( ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ241_spl
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f5939,f5940]) ).
fof(f5952,plain,
( ~ sQ88_spl
| ~ sQ176_spl
| ~ sQ261_spl
| h2(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f5225,f743]) ).
fof(f5953,plain,
( ~ sQ88_spl
| ~ sQ176_spl
| ~ sQ261_spl
| sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5952,f1329]) ).
fof(f5954,plain,
( ~ sQ88_spl
| ~ sQ176_spl
| ~ sQ261_spl
| sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f5953]) ).
fof(f5960,plain,
( ~ sQ213_spl
| ~ sQ88_spl
| e20 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f4365,f4356]) ).
fof(f5966,plain,
( ~ sQ213_spl
| ~ sQ88_spl
| ~ sQ176_spl
| ~ sQ261_spl
| e20 = h2(e10) ),
inference(forward_demodulation,[status(thm)],[f5225,f5960]) ).
fof(f5985,plain,
( ~ sQ211_spl
| ~ sQ81_spl
| h4(op1(e11,e10)) = e21 ),
inference(forward_demodulation,[status(thm)],[f720,f4131]) ).
fof(f6004,plain,
( ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ153_spl
| ~ sQ241_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5939,f3417]) ).
fof(f6007,plain,
( ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ141_spl
| e20 = h1(e12) ),
inference(forward_demodulation,[status(thm)],[f3413,f6004]) ).
fof(f6078,plain,
( ~ sQ231_spl
| ~ sQ33_spl
| op1(e11,op1(e12,e10)) = e10 ),
inference(forward_demodulation,[status(thm)],[f532,f1238]) ).
fof(f6079,plain,
( ~ sQ231_spl
| ~ sQ33_spl
| op1(e11,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f532,f6078]) ).
fof(f6080,plain,
( ~ sQ231_spl
| ~ sQ33_spl
| ~ sQ22_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f496,f6079]) ).
fof(f6081,plain,
( ~ sQ231_spl
| ~ sQ33_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6080,f213]) ).
fof(f6082,plain,
( ~ sQ231_spl
| ~ sQ33_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f6081]) ).
fof(f6091,plain,
( ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| h3(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f694,f5898]) ).
fof(f6092,plain,
( sQ270_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6091,f1405]) ).
fof(f6093,plain,
( sQ270_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6092]) ).
fof(f6094,plain,
( sQ270_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f6093]) ).
fof(f6096,plain,
( sQ275_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f266,f1426]) ).
fof(f6097,plain,
( sQ275_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6096]) ).
fof(f6098,plain,
sQ275_spl,
inference(contradiction_clause,[status(thm)],[f6097]) ).
fof(f6101,plain,
( ~ sQ176_spl
| ~ sQ261_spl
| ~ sQ213_spl
| ~ sQ88_spl
| e20 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f5966,f5918]) ).
fof(f6117,plain,
( sQ195_spl
| ~ sQ44_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e20 != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f5447,f2401]) ).
fof(f6118,plain,
( sQ195_spl
| ~ sQ44_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f6091,f6117]) ).
fof(f6119,plain,
( sQ195_spl
| ~ sQ44_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| ~ sQ176_spl
| ~ sQ261_spl
| ~ sQ213_spl
| ~ sQ88_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6101,f6118]) ).
fof(f6120,plain,
( sQ195_spl
| ~ sQ44_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| ~ sQ176_spl
| ~ sQ261_spl
| ~ sQ213_spl
| ~ sQ88_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6119]) ).
fof(f6121,plain,
( sQ195_spl
| ~ sQ44_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| ~ sQ176_spl
| ~ sQ261_spl
| ~ sQ213_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f6120]) ).
fof(f6186,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2998,f586,f534]) ).
fof(f6194,plain,
( sQ192_spl
| ~ sQ34_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| e21 != op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f6091,f4631]) ).
fof(f6195,plain,
( sQ192_spl
| ~ sQ34_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| e21 != op2(e21,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f6091,f6194]) ).
fof(f6196,plain,
( sQ192_spl
| ~ sQ34_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f5447,f6195]) ).
fof(f6197,plain,
( sQ192_spl
| ~ sQ34_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| ~ sQ81_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f720,f6196]) ).
fof(f6198,plain,
( sQ192_spl
| ~ sQ34_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| ~ sQ81_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6197]) ).
fof(f6199,plain,
( sQ192_spl
| ~ sQ34_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f6198]) ).
fof(f6252,plain,
( ~ sQ211_spl
| ~ sQ81_spl
| ~ sQ19_spl
| h4(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f486,f5985]) ).
fof(f6253,plain,
( ~ sQ211_spl
| ~ sQ81_spl
| ~ sQ19_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f270,f6252]) ).
fof(f6254,plain,
( ~ sQ211_spl
| ~ sQ81_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6253,f222]) ).
fof(f6255,plain,
( ~ sQ211_spl
| ~ sQ81_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f6254]) ).
fof(f6257,plain,
( ~ sQ292_spl
| ~ sQ28_spl
| op1(e10,e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f516,f5381]) ).
fof(f6262,plain,
( ~ sQ292_spl
| ~ sQ28_spl
| op1(op1(e11,e13),e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f516,f1496]) ).
fof(f6270,plain,
( ~ sQ192_spl
| ~ sQ32_spl
| h3(e10) = op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f529,f1113]) ).
fof(f6271,plain,
( ~ sQ192_spl
| ~ sQ32_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e20 = op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f5447,f6270]) ).
fof(f6272,plain,
( ~ sQ192_spl
| ~ sQ32_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| e20 = op2(e21,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f6091,f6271]) ).
fof(f6273,plain,
( ~ sQ192_spl
| ~ sQ32_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f5447,f6272]) ).
fof(f6274,plain,
( ~ sQ192_spl
| ~ sQ32_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| ~ sQ81_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f720,f6273]) ).
fof(f6275,plain,
( ~ sQ192_spl
| ~ sQ32_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6274,f218]) ).
fof(f6276,plain,
( ~ sQ192_spl
| ~ sQ32_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f6275]) ).
fof(f6282,plain,
( sQ196_spl
| ~ sQ51_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f5853,f774,f1133,f1551,f1127,f807,f589,f1124]) ).
fof(f6307,plain,
( sQ198_spl
| ~ sQ58_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| e21 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f6091,f2375]) ).
fof(f6308,plain,
( sQ198_spl
| ~ sQ58_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| e21 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f6091,f6307]) ).
fof(f6309,plain,
( sQ198_spl
| ~ sQ58_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| ~ sQ101_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f785,f6308]) ).
fof(f6310,plain,
( sQ198_spl
| ~ sQ58_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| ~ sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6309]) ).
fof(f6311,plain,
( sQ198_spl
| ~ sQ58_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f6310]) ).
fof(f6312,plain,
( sQ194_spl
| ~ sQ301_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| e22 != op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f6091,f2784]) ).
fof(f6313,plain,
( sQ194_spl
| ~ sQ301_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| e22 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6091,f6312]) ).
fof(f6314,plain,
( sQ194_spl
| ~ sQ301_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| ~ sQ304_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f5756,f6313]) ).
fof(f6315,plain,
( sQ194_spl
| ~ sQ301_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| ~ sQ304_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6314]) ).
fof(f6316,plain,
( sQ194_spl
| ~ sQ301_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ73_spl
| ~ sQ304_spl ),
inference(contradiction_clause,[status(thm)],[f6315]) ).
fof(f6356,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e20 != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f5447,f2438]) ).
fof(f6357,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e20 != op2(e20,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f5447,f6356]) ).
fof(f6358,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5447,f6357]) ).
fof(f6359,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ241_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5931,f6358]) ).
fof(f6360,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ241_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6359]) ).
fof(f6361,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ302_spl
| ~ sQ153_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f6360]) ).
fof(f6402,plain,
( sQ190_spl
| ~ sQ24_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e20 != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f5447,f4597]) ).
fof(f6403,plain,
( sQ190_spl
| ~ sQ24_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e20 != op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2612,f6402]) ).
fof(f6404,plain,
( sQ190_spl
| ~ sQ24_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| e20 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f6091,f6403]) ).
fof(f6405,plain,
( sQ190_spl
| ~ sQ24_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1569,f6404]) ).
fof(f6406,plain,
( sQ190_spl
| ~ sQ24_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6405]) ).
fof(f6407,plain,
( sQ190_spl
| ~ sQ24_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f6406]) ).
fof(f6416,plain,
( sQ186_spl
| ~ sQ9_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e23 != op2(h3(e10),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2612,f3448]) ).
fof(f6417,plain,
( sQ186_spl
| ~ sQ9_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ108_spl
| ~ sQ197_spl
| e23 != op2(e20,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f5447,f6416]) ).
fof(f6418,plain,
( sQ186_spl
| ~ sQ9_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ187_spl
| ~ sQ73_spl
| e23 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f6091,f6417]) ).
fof(f6419,plain,
( sQ186_spl
| ~ sQ9_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ187_spl
| ~ sQ73_spl
| ~ sQ71_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f687,f6418]) ).
fof(f6420,plain,
( sQ186_spl
| ~ sQ9_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ187_spl
| ~ sQ73_spl
| ~ sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6419]) ).
fof(f6421,plain,
( sQ186_spl
| ~ sQ9_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ187_spl
| ~ sQ73_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f6420]) ).
fof(f6455,plain,
( sQ301_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3266,f563,f1534]) ).
fof(f6464,plain,
( ~ sQ291_spl
| ~ sQ24_spl
| op1(e10,op1(e11,e12)) = e12 ),
inference(forward_demodulation,[status(thm)],[f503,f1492]) ).
fof(f6465,plain,
( ~ sQ291_spl
| ~ sQ24_spl
| op1(e10,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f503,f6464]) ).
fof(f6466,plain,
( ~ sQ291_spl
| ~ sQ24_spl
| ~ sQ0_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f425,f6465]) ).
fof(f6467,plain,
( ~ sQ291_spl
| ~ sQ24_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6466,f213]) ).
fof(f6468,plain,
( ~ sQ291_spl
| ~ sQ24_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f6467]) ).
fof(f6521,plain,
( ~ sQ164_spl
| ~ sQ252_spl
| h2(e12) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1328,f4090]) ).
fof(f6524,plain,
( ~ sQ164_spl
| ~ sQ252_spl
| ~ sQ71_spl
| h2(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f687,f6521]) ).
fof(f6562,plain,
( ~ sQ291_spl
| ~ sQ27_spl
| op1(op1(e11,e12),e13) = e12 ),
inference(backward_demodulation,[status(thm)],[f512,f1492]) ).
fof(f6568,plain,
( ~ sQ292_spl
| ~ sQ28_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f6257,f433,f515,f1495]) ).
fof(f6570,plain,
( ~ sQ292_spl
| ~ sQ28_spl
| op1(e10,e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f516,f6262]) ).
fof(f6646,plain,
( ~ sQ291_spl
| ~ sQ27_spl
| op1(e13,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f512,f6562]) ).
fof(f6647,plain,
( ~ sQ291_spl
| ~ sQ27_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f253,f6646]) ).
fof(f6648,plain,
( ~ sQ291_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6647,f215]) ).
fof(f6649,plain,
( ~ sQ291_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f6648]) ).
fof(f6650,plain,
( ~ sQ292_spl
| ~ sQ28_spl
| ~ sQ0_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f425,f6570]) ).
fof(f6651,plain,
( ~ sQ292_spl
| ~ sQ28_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6650,f214]) ).
fof(f6652,plain,
( ~ sQ292_spl
| ~ sQ28_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f6651]) ).
fof(f6680,plain,
( ~ sQ291_spl
| ~ sQ26_spl
| op1(op1(e11,e12),e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f509,f1492]) ).
fof(f6714,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ176_spl
| ~ sQ261_spl
| e22 != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f5922,f4641]) ).
fof(f6715,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ176_spl
| ~ sQ261_spl
| e22 != op2(e22,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f5922,f6714]) ).
fof(f6716,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ176_spl
| ~ sQ261_spl
| ~ sQ252_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1328,f6715]) ).
fof(f6717,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ176_spl
| ~ sQ261_spl
| ~ sQ252_spl
| ~ sQ98_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f775,f6716]) ).
fof(f6718,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ176_spl
| ~ sQ261_spl
| ~ sQ252_spl
| ~ sQ98_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6717]) ).
fof(f6719,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ176_spl
| ~ sQ261_spl
| ~ sQ252_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f6718]) ).
fof(f6745,plain,
( sQ152_spl
| ~ sQ59_spl
| h1(e13) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f616,f1692]) ).
fof(f6746,plain,
( sQ152_spl
| ~ sQ59_spl
| e20 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f258,f6745]) ).
fof(f6747,plain,
( sQ152_spl
| ~ sQ59_spl
| ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ141_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6007,f6746]) ).
fof(f6748,plain,
( sQ152_spl
| ~ sQ59_spl
| ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ141_spl
| ~ sQ302_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5931,f6747]) ).
fof(f6749,plain,
( sQ152_spl
| ~ sQ59_spl
| ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ141_spl
| ~ sQ302_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6748]) ).
fof(f6750,plain,
( sQ152_spl
| ~ sQ59_spl
| ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ141_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f6749]) ).
fof(f6778,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ153_spl
| ~ sQ241_spl
| e20 != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f5939,f3010]) ).
fof(f6779,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ153_spl
| ~ sQ241_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f5939,f6778]) ).
fof(f6780,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ151_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5944,f6779]) ).
fof(f6781,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ151_spl
| ~ sQ302_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5931,f6780]) ).
fof(f6782,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ151_spl
| ~ sQ302_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6781]) ).
fof(f6783,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ151_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f6782]) ).
fof(f6789,plain,
( sQ140_spl
| ~ sQ8_spl
| ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ241_spl
| e20 != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f5944,f2794]) ).
fof(f6790,plain,
( sQ140_spl
| ~ sQ8_spl
| ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ241_spl
| e20 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f5944,f6789]) ).
fof(f6791,plain,
( sQ140_spl
| ~ sQ8_spl
| ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ141_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6007,f6790]) ).
fof(f6792,plain,
( sQ140_spl
| ~ sQ8_spl
| ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ302_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5931,f6791]) ).
fof(f6793,plain,
( sQ140_spl
| ~ sQ8_spl
| ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ302_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6792]) ).
fof(f6794,plain,
( sQ140_spl
| ~ sQ8_spl
| ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f6793]) ).
fof(f6800,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ153_spl
| ~ sQ241_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f5939,f5510]) ).
fof(f6801,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ151_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5944,f6800]) ).
fof(f6802,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ151_spl
| ~ sQ302_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5931,f6801]) ).
fof(f6803,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ151_spl
| ~ sQ302_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6802]) ).
fof(f6804,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ153_spl
| ~ sQ241_spl
| ~ sQ151_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f6803]) ).
fof(f6813,plain,
( sQ182_spl
| ~ sQ164_spl
| ~ sQ252_spl
| ~ sQ71_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f6524,f1082]) ).
fof(f6814,plain,
( sQ182_spl
| ~ sQ164_spl
| ~ sQ252_spl
| ~ sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6813]) ).
fof(f6815,plain,
( sQ182_spl
| ~ sQ164_spl
| ~ sQ252_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f6814]) ).
fof(f6910,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e23 != op2(h3(e11),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2612,f4639]) ).
fof(f6911,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e23 != op2(e23,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2612,f6910]) ).
fof(f6912,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ108_spl
| ~ sQ197_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f5447,f6911]) ).
fof(f6913,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ115_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f830,f6912]) ).
fof(f6914,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ115_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6913]) ).
fof(f6915,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f6914]) ).
fof(f6920,plain,
( ~ sQ291_spl
| ~ sQ26_spl
| op1(e12,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f509,f6680]) ).
fof(f6921,plain,
( ~ sQ291_spl
| ~ sQ26_spl
| ~ sQ41_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f558,f6920]) ).
fof(f6922,plain,
( ~ sQ291_spl
| ~ sQ26_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6921,f215]) ).
fof(f6923,plain,
( ~ sQ291_spl
| ~ sQ26_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f6922]) ).
fof(f6935,plain,
( ~ sQ292_spl
| ~ sQ31_spl
| op1(e13,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f525,f2673]) ).
fof(f6936,plain,
( ~ sQ292_spl
| ~ sQ31_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f253,f6935]) ).
fof(f6937,plain,
( ~ sQ292_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6936,f216]) ).
fof(f6938,plain,
( ~ sQ292_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f6937]) ).
fof(f6994,plain,
( sQ193_spl
| ~ sQ37_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e23 != op2(h3(e12),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2612,f4484]) ).
fof(f6995,plain,
( sQ193_spl
| ~ sQ37_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ73_spl
| e23 != op2(e21,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f6091,f6994]) ).
fof(f6996,plain,
( sQ193_spl
| ~ sQ37_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ73_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2612,f6995]) ).
fof(f6997,plain,
( sQ193_spl
| ~ sQ37_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ73_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f765,f6996]) ).
fof(f6998,plain,
( sQ193_spl
| ~ sQ37_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ73_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6997]) ).
fof(f6999,plain,
( sQ193_spl
| ~ sQ37_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ73_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f6998]) ).
fof(f7177,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ7_spl
| h3(e13) != op2(e20,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f447,f2262]) ).
fof(f7178,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ7_spl
| e22 != op2(e20,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f266,f7177]) ).
fof(f7179,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ7_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2612,f7178]) ).
fof(f7180,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ7_spl
| ~ sQ305_spl
| ~ sQ199_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1581,f7179]) ).
fof(f7181,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ7_spl
| ~ sQ305_spl
| ~ sQ199_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7180]) ).
fof(f7182,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ7_spl
| ~ sQ305_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f7181]) ).
fof(f7207,plain,
( sQ212_spl
| ~ sQ22_spl
| h4(e12) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f496,f1637]) ).
fof(f7208,plain,
( sQ212_spl
| ~ sQ22_spl
| e22 != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f1608,f7207]) ).
fof(f7209,plain,
( sQ212_spl
| ~ sQ22_spl
| ~ sQ176_spl
| ~ sQ261_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f5922,f7208]) ).
fof(f7210,plain,
( sQ212_spl
| ~ sQ22_spl
| ~ sQ176_spl
| ~ sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7209]) ).
fof(f7211,plain,
( sQ212_spl
| ~ sQ22_spl
| ~ sQ176_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f7210]) ).
fof(f7212,plain,
( sQ189_spl
| ~ sQ107_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ22_spl
| h3(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f496,f5800]) ).
fof(f7213,plain,
( sQ189_spl
| ~ sQ107_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ22_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ73_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6091,f7212]) ).
fof(f7214,plain,
( sQ189_spl
| ~ sQ107_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ22_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7213]) ).
fof(f7215,plain,
( sQ189_spl
| ~ sQ107_spl
| ~ sQ305_spl
| ~ sQ199_spl
| ~ sQ22_spl
| ~ sQ187_spl
| ~ sQ108_spl
| ~ sQ197_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f7214]) ).
fof(f7216,plain,
$false,
inference(sat_refutation,[status(thm)],[f436,f449,f462,f475,f527,f566,f592,f618,f631,f632,f633,f634,f635,f637,f638,f642,f644,f645,f646,f647,f648,f649,f650,f653,f656,f657,f660,f662,f663,f689,f715,f806,f832,f858,f871,f872,f873,f874,f875,f877,f878,f882,f883,f884,f885,f886,f887,f888,f889,f890,f892,f894,f896,f897,f903,f914,f918,f922,f929,f933,f941,f1152,f1240,f1252,f1261,f1273,f1283,f1330,f1359,f1368,f1381,f1406,f1427,f1432,f1453,f1474,f1490,f1494,f1498,f1507,f1519,f1533,f1537,f1542,f1546,f1550,f1554,f1615,f1646,f1659,f1669,f1675,f1685,f1691,f1701,f1704,f1714,f1729,f1747,f1750,f1753,f1756,f1759,f1762,f1768,f1804,f1813,f1816,f1819,f1822,f1838,f1853,f1870,f1873,f1886,f1907,f1910,f1916,f1922,f1928,f1931,f1934,f1937,f1940,f1946,f1984,f1993,f1996,f2002,f2009,f2024,f2033,f2040,f2057,f2060,f2063,f2066,f2069,f2072,f2075,f2078,f2081,f2088,f2091,f2094,f2100,f2103,f2113,f2116,f2119,f2122,f2129,f2224,f2230,f2232,f2244,f2246,f2261,f2336,f2343,f2362,f2365,f2389,f2393,f2395,f2412,f2462,f2468,f2474,f2480,f2511,f2526,f2544,f2550,f2564,f2577,f2586,f2593,f2614,f2619,f2627,f2646,f2649,f2658,f2675,f2681,f2684,f2689,f2698,f2700,f2758,f2763,f2766,f2777,f2807,f2818,f2822,f2836,f2837,f2883,f2948,f2982,f2996,f3008,f3027,f3035,f3047,f3062,f3075,f3098,f3138,f3155,f3171,f3184,f3198,f3209,f3263,f3289,f3327,f3330,f3382,f3385,f3409,f3421,f3434,f3438,f3454,f3484,f3492,f3517,f3519,f3531,f3565,f3676,f3679,f3692,f3699,f3709,f3713,f3720,f3745,f3749,f3757,f3763,f3822,f3825,f3848,f3871,f3892,f3906,f3914,f3916,f4018,f4024,f4054,f4075,f4079,f4126,f4165,f4171,f4174,f4176,f4205,f4242,f4259,f4368,f4397,f4413,f4464,f4478,f4532,f4540,f4550,f4741,f4795,f5005,f5145,f5201,f5213,f5234,f5241,f5263,f5323,f5324,f5406,f5449,f5526,f5553,f5582,f5599,f5604,f5606,f5626,f5668,f5759,f5883,f5906,f5909,f5954,f6082,f6094,f6098,f6121,f6186,f6199,f6255,f6276,f6282,f6311,f6316,f6361,f6407,f6421,f6455,f6468,f6568,f6649,f6652,f6719,f6750,f6783,f6794,f6804,f6815,f6915,f6923,f6938,f6999,f7182,f7211,f7215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG116+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 12:56:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 1.05/0.70 % Refutation found
% 1.05/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.05/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/0.74 % Elapsed time: 0.367534 seconds
% 0.32/0.74 % CPU time: 2.513368 seconds
% 0.32/0.74 % Total memory used: 160.903 MB
% 0.32/0.74 % Net memory used: 160.015 MB
%------------------------------------------------------------------------------