%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG107+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 : n015.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 11:48:13 AM UTC 2026
% Result : Theorem 1.50s 0.86s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 285
% Syntax : Number of formulae : 1711 ( 206 unt; 268 def)
% Number of atoms : 5758 (2592 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6951 (2904 ~;3163 |; 612 &)
% ( 272 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 270 ( 268 usr; 269 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(e13,op1(e13,e13)) = e13
& op1(e12,op1(e13,e12)) = e12
& op1(e11,op1(e13,e11)) = e11
& op1(e10,op1(e13,e10)) = e10 )
| ( op1(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 )
| ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 )
| ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(e23,op2(e23,e23)) = e23
& op2(e22,op2(e23,e22)) = e22
& op2(e21,op2(e23,e21)) = e21
& op2(e20,op2(e23,e20)) = e20 )
| ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 )
| ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 )
| ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12))
& e11 = op1(e12,op1(e12,e12))
& e10 = op1(e12,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& e21 = op2(e22,op2(e22,e22))
& e20 = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e10) = op2(e20,e20)
& h1(e12) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e12) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e10) = op2(e22,e22)
& h3(e12) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e10) = op2(e23,e23)
& h4(e12) = 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(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(f26,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = 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(f28,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = 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(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(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(f43,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f45,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
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(f47,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
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(f56,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
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(f62,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
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(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(f70,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = 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(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(f88,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
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(f92,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
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(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(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(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(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(f110,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
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(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
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(f120,plain,
op1(e11,e10) != op1(e13,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(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(f130,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,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(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,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(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(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
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(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,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(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,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(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f195,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != 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(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
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(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 )
| ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 )
| ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( op1(e13,op1(e13,e13)) = e13
& op1(e12,op1(e13,e12)) = e12
& op1(e11,op1(e13,e11)) = e11
& op1(e10,op1(e13,e10)) = e10 )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( op1(e10,op1(e13,e10)) = e10
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( op1(e11,op1(e13,e11)) = e11
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f245,plain,
( op1(e13,op1(e13,e13)) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f246,definition,
( sP1_prd
<=> ( ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 )
| ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 )
| ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f247,plain,
( ( op2(e23,op2(e23,e23)) = e23
& op2(e22,op2(e23,e22)) = e22
& op2(e21,op2(e23,e21)) = e21
& op2(e20,op2(e23,e20)) = e20 )
| sP1_prd ),
inference(formula_renaming,[status(thm)],[f11,f246]) ).
fof(f248,plain,
( op2(e20,op2(e23,e20)) = e20
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f252,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f253,plain,
e11 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f254,plain,
e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f255,plain,
e20 = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f256,plain,
e21 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f257,plain,
e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f258,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f259,plain,
h1(e10) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f260,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f261,plain,
h1(e13) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f262,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f263,plain,
h2(e10) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f264,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f265,plain,
h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f266,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f267,plain,
h3(e10) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f268,plain,
h3(e11) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f269,plain,
h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f270,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f271,plain,
h4(e10) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f272,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f273,plain,
h4(e13) = op2(op2(e23,op2(e23,e23)),op2(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(f293,plain,
( h2(e11) != 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)) ),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f304,definition,
( sP14_prd
<=> ( ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 )
| ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f305,plain,
( sP0_prd
<=> ( ( op1(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f304]) ).
fof(f306,plain,
( ( ( ( op1(e13,op1(e12,e13)) != e13
| op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e12,e11)) != e11
| op1(e10,op1(e12,e10)) != e10 )
& ~ sP14_prd )
| sP0_prd )
& ( ( op1(e13,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e11,op1(e12,e11)) = e11
& op1(e10,op1(e12,e10)) = e10 )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f305]) ).
fof(f307,plain,
( op1(e10,op1(e12,e10)) = e10
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f309,plain,
( op1(e12,op1(e12,e12)) = e12
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f313,definition,
( sP15_prd
<=> ( ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 )
| ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f314,plain,
( sP1_prd
<=> ( ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f246,f313]) ).
fof(f315,plain,
( ( ( ( op2(e23,op2(e22,e23)) != e23
| op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e22,e21)) != e21
| op2(e20,op2(e22,e20)) != e20 )
& ~ sP15_prd )
| sP1_prd )
& ( ( op2(e23,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e21,op2(e22,e21)) = e21
& op2(e20,op2(e22,e20)) = e20 )
| sP15_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f318,plain,
( op2(e22,op2(e22,e22)) = e22
| 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(f325,plain,
( h1(e12) != 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(f349,plain,
( h2(e12) != 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(f356,plain,
( h2(e13) != 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(f366,plain,
( h3(e11) != 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(f373,plain,
( h3(e12) != 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(f386,plain,
( h4(e13) != 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(f390,plain,
( h4(e11) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f394,definition,
( sP16_prd
<=> ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f395,plain,
( sP14_prd
<=> ( ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f304,f394]) ).
fof(f396,plain,
( ( ( ( op1(e13,op1(e11,e13)) != e13
| op1(e12,op1(e11,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e11,e10)) != e10 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op1(e13,op1(e11,e13)) = e13
& op1(e12,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e10,op1(e11,e10)) = e10 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f395]) ).
fof(f397,plain,
( op1(e10,op1(e11,e10)) = e10
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f398,plain,
( op1(e11,op1(e11,e11)) = e11
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f400,plain,
( op1(e13,op1(e11,e13)) = e13
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f403,definition,
( sP17_prd
<=> ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f404,plain,
( sP15_prd
<=> ( ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f313,f403]) ).
fof(f405,plain,
( ( ( ( op2(e23,op2(e21,e23)) != e23
| op2(e22,op2(e21,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e21,e20)) != e20 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op2(e23,op2(e21,e23)) = e23
& op2(e22,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e20,op2(e21,e20)) = e20 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f404]) ).
fof(f406,plain,
( op2(e20,op2(e21,e20)) = e20
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f407,plain,
( op2(e21,op2(e21,e21)) = e21
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f412,plain,
( ( op1(e13,op1(e10,e13)) != e13
| op1(e12,op1(e10,e12)) != e12
| op1(e11,op1(e10,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| sP16_prd )
& ( ( op1(e13,op1(e10,e13)) = e13
& op1(e12,op1(e10,e12)) = e12
& op1(e11,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f394]) ).
fof(f413,plain,
( op1(e10,op1(e10,e10)) = e10
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f414,plain,
( op1(e11,op1(e10,e11)) = e11
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f415,plain,
( op1(e12,op1(e10,e12)) = e12
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f416,plain,
( op1(e13,op1(e10,e13)) = e13
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f418,plain,
( ( op2(e23,op2(e20,e23)) != e23
| op2(e22,op2(e20,e22)) != e22
| op2(e21,op2(e20,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| sP17_prd )
& ( ( op2(e23,op2(e20,e23)) = e23
& op2(e22,op2(e20,e22)) = e22
& op2(e21,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f403]) ).
fof(f419,plain,
( op2(e20,op2(e20,e20)) = e20
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f420,plain,
( op2(e21,op2(e20,e21)) = e21
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f421,plain,
( op2(e22,op2(e20,e22)) = e22
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f422,plain,
( op2(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(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(f460,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f459]) ).
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(f470,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f469]) ).
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(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(f514,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f502,f505,f508,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(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(f540,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f28,f528,f531,f534,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(f555,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f554]) ).
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(f561,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f560]) ).
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(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(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(f623,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f622]) ).
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(f634,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f427,f440,f453,f466]) ).
fof(f637,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f430,f482,f534,f586]) ).
fof(f639,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f43,f433,f485,f537,f589]) ).
fof(f640,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f44,f476,f489,f502,f515]) ).
fof(f641,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f437,f489,f541,f593]) ).
fof(f642,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f479,f492,f505,f518]) ).
fof(f643,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f440,f492,f544,f596]) ).
fof(f647,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f446,f498,f550,f602]) ).
fof(f652,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f534,f547,f560,f573]) ).
fof(f654,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f537,f550,f563,f576]) ).
fof(f655,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f459,f511,f563,f615]) ).
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(f658,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f583,f596,f609,f622]) ).
fof(f659,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f63,f466,f518,f570,f622]) ).
fof(f662,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f589,f602,f615,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(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(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(f702,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f70,f690,f693,f696,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(f709,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f709]) ).
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(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(f726,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f725]) ).
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(f741,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f729,f732,f735,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(f752,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f74,f742,f745,f748,f751]) ).
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(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(f767,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f755,f758,f761,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(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(f778,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f76,f768,f771,f774,f777]) ).
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(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(f842,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
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(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(f856,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f855]) ).
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(f863,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f862]) ).
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(f872,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f664,f677,f690,f703]) ).
fof(f876,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f670,f683,f696,f709]) ).
fof(f877,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f670,f722,f774,f826]) ).
fof(f880,plain,
( sQ92_spl
| sQ88_spl
| sQ84_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f92,f716,f729,f742,f755]) ).
fof(f882,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f719,f732,f745,f758]) ).
fof(f884,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f722,f735,f748,f761]) ).
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(f889,plain,
( sQ120_spl
| sQ104_spl
| sQ88_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f101,f690,f742,f794,f846]) ).
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(f898,plain,
( sQ125_spl
| sQ121_spl
| sQ117_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f110,f823,f836,f849,f862]) ).
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(e10,op1(e13,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ129_spl
| op1(e10,op1(e13,e10)) = e10 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f242,f904,f907]) ).
fof(f911,definition,
( sQ130_spl
<=> op1(e11,op1(e13,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ130_spl
| op1(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(e12,op1(e13,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ131_spl
| op1(e12,op1(e13,e12)) = e12 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f919,definition,
( sQ132_spl
<=> op1(e13,op1(e13,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ132_spl
| op1(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(e20,op2(e23,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ134_spl
| op2(e20,op2(e23,e20)) = e20 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f928,plain,
( sQ134_spl
| op2(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(f942,definition,
( sQ138_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( sQ138_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f942]) ).
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(f953,plain,
( sQ141_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f957,definition,
( sQ143_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( sQ143_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,definition,
( sQ144_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( sQ144_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,definition,
( sQ145_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( sQ145_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,definition,
( sQ146_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( sQ146_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,definition,
( sQ147_spl
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( sQ147_spl
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,definition,
( sQ148_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( sQ148_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,definition,
( sQ149_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( sQ149_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,definition,
( sQ150_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( sQ150_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f978]) ).
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(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(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(f999,definition,
( sQ157_spl
<=> h1(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( ~ sQ157_spl
| h1(e10) = e23 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1001,plain,
( sQ157_spl
| h1(e10) != e23 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1003,definition,
( sQ158_spl
<=> h1(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
( ~ sQ158_spl
| h1(e11) = e23 ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1015,definition,
( sQ161_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1017,plain,
( sQ161_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,definition,
( sQ162_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
( sQ162_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,definition,
( sQ163_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( sQ163_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1021]) ).
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(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(f1030,definition,
( sQ166_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( sQ166_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1033,definition,
( sQ167_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
( sQ167_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1033]) ).
fof(f1036,definition,
( sQ168_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1038,plain,
( sQ168_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,definition,
( sQ169_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( sQ169_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,definition,
( sQ170_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( sQ170_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,definition,
( sQ171_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( ~ sQ171_spl
| h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1047,plain,
( sQ171_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,definition,
( sQ172_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( sQ172_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,definition,
( sQ173_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1053,plain,
( sQ173_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1051]) ).
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(f1056,plain,
( sQ174_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,definition,
( sQ175_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
( sQ175_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1057]) ).
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(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(f1079,plain,
( ~ sQ181_spl
| sQ179_spl
| sQ178_spl
| sQ177_spl
| ~ sQ176_spl
| ~ sQ175_spl
| ~ sQ174_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ170_spl
| ~ sQ169_spl
| ~ sQ168_spl
| ~ sQ167_spl
| ~ sQ166_spl
| ~ sQ165_spl
| ~ sQ164_spl
| ~ sQ163_spl
| ~ sQ162_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f293,f1015,f1018,f1021,f1024,f1027,f1030,f1033,f1036,f1039,f1042,f1045,f1048,f1051,f1054,f1057,f1060,f1063,f1066,f1069,f1076]) ).
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(f1095,plain,
( ~ sQ186_spl
| h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f1094]) ).
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(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(f1107,plain,
( ~ sQ190_spl
| h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f1106]) ).
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(f1110,plain,
( ~ sQ191_spl
| h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f1109]) ).
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(f1116,plain,
( ~ sQ193_spl
| h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
inference(component_clause,[status(thm)],[f1115]) ).
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(f1119,plain,
( ~ sQ194_spl
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1120,plain,
( sQ194_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1118]) ).
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(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(f1157,definition,
( sQ206_spl
<=> h3(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( sQ206_spl
| h3(e13) != e23 ),
inference(component_clause,[status(thm)],[f1157]) ).
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(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(f1181,plain,
( sQ213_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1185,definition,
( sQ215_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
( sQ215_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,definition,
( sQ216_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( ~ sQ216_spl
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1190,plain,
( sQ216_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1194,definition,
( sQ218_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1195,plain,
( ~ sQ218_spl
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1196,plain,
( sQ218_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,definition,
( sQ219_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( sQ219_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1197]) ).
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(f1218,definition,
( sQ226_spl
<=> h4(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ226_spl
| h4(e10) = e23 ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1220,plain,
( sQ226_spl
| h4(e10) != e23 ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1226,definition,
( sQ228_spl
<=> h4(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
( ~ sQ228_spl
| h4(e12) = e23 ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1228,plain,
( sQ228_spl
| h4(e12) != e23 ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1234,definition,
( sQ230_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1237,definition,
( sQ231_spl
<=> op1(e10,op1(e12,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( ~ sQ231_spl
| op1(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(f1245,definition,
( sQ233_spl
<=> op1(e12,op1(e12,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( ~ sQ233_spl
| op1(e12,op1(e12,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1248,plain,
( sQ233_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f309,f904,f1234,f1245]) ).
fof(f1255,definition,
( sQ235_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1266,definition,
( sQ238_spl
<=> op2(e22,op2(e22,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( ~ sQ238_spl
| op2(e22,op2(e22,e22)) = e22 ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( sQ238_spl
| sQ235_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f318,f923,f1255,f1266]) ).
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(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(f1284,definition,
( sQ242_spl
<=> h1(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( sQ242_spl
| h1(e12) != e20 ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1287,plain,
( ~ sQ242_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f325,f990,f1284]) ).
fof(f1288,definition,
( sQ243_spl
<=> h1(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ243_spl
| h1(e13) = e20 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( sQ243_spl
| h1(e13) != e20 ),
inference(component_clause,[status(thm)],[f1288]) ).
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(f1301,definition,
( sQ246_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( ~ sQ246_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1318,definition,
( sQ250_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1319,plain,
( ~ sQ250_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f1318]) ).
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(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(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(f1352,definition,
( sQ258_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
( ~ sQ258_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1354,plain,
( sQ258_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,plain,
( ~ sQ258_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f349,f1066,f1352]) ).
fof(f1356,definition,
( sQ259_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1357,plain,
( ~ sQ259_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[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(f1369,definition,
( sQ262_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1370,plain,
( ~ sQ262_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1369]) ).
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(f1375,plain,
( sQ263_spl
| h2(e13) != e22 ),
inference(component_clause,[status(thm)],[f1373]) ).
fof(f1376,plain,
( ~ sQ263_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f356,f1069,f1373]) ).
fof(f1378,definition,
( sQ264_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
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(f1386,definition,
( sQ266_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1387,plain,
( ~ sQ266_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f1386]) ).
fof(f1395,definition,
( sQ268_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1396,plain,
( ~ sQ268_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f1395]) ).
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(f1401,plain,
( sQ269_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1402,plain,
( ~ sQ269_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f366,f1139,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(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(f1422,plain,
( sQ274_spl
| h3(e12) != e22 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1423,plain,
( ~ sQ274_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f373,f1142,f1420]) ).
fof(f1429,definition,
( sQ276_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1430,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(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(f1451,plain,
( ~ sQ281_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[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(f1460,plain,
( sQ283_spl
| h4(e13) != e21 ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1461,plain,
( ~ sQ283_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f386,f1212,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(f1469,plain,
( sQ285_spl
| h4(e11) != e22 ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,plain,
( ~ sQ285_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f390,f1215,f1467]) ).
fof(f1471,definition,
( sQ286_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1472,plain,
( ~ sQ286_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[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(f1483,definition,
( sQ289_spl
<=> op1(e10,op1(e11,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( ~ sQ289_spl
| op1(e10,op1(e11,e10)) = e10 ),
inference(component_clause,[status(thm)],[f1483]) ).
fof(f1486,plain,
( sQ289_spl
| sQ288_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f397,f1234,f1480,f1483]) ).
fof(f1487,definition,
( sQ290_spl
<=> op1(e11,op1(e11,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( ~ sQ290_spl
| op1(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(f1495,definition,
( sQ292_spl
<=> op1(e13,op1(e11,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( ~ sQ292_spl
| op1(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(e20,op2(e21,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( ~ sQ294_spl
| op2(e20,op2(e21,e20)) = e20 ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1506,plain,
( sQ294_spl
| op2(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(e21,op2(e21,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1509,plain,
( ~ sQ295_spl
| op2(e21,op2(e21,e21)) = e21 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1510,plain,
( sQ295_spl
| op2(e21,op2(e21,e21)) != e21 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,plain,
( sQ295_spl
| sQ293_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f407,f1255,f1501,f1508]) ).
fof(f1522,definition,
( sQ298_spl
<=> op1(e10,op1(e10,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1525,plain,
( sQ298_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f413,f1480,f1522]) ).
fof(f1526,definition,
( sQ299_spl
<=> op1(e11,op1(e10,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f1527,plain,
( ~ sQ299_spl
| op1(e11,op1(e10,e11)) = e11 ),
inference(component_clause,[status(thm)],[f1526]) ).
fof(f1529,plain,
( sQ299_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f414,f1480,f1526]) ).
fof(f1530,definition,
( sQ300_spl
<=> op1(e12,op1(e10,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( ~ sQ300_spl
| op1(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(e13,op1(e10,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1535,plain,
( ~ sQ301_spl
| op1(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(e20,op2(e20,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ302_spl
| op2(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(e21,op2(e20,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( ~ sQ303_spl
| op2(e21,op2(e20,e21)) = e21 ),
inference(component_clause,[status(thm)],[f1543]) ).
fof(f1546,plain,
( sQ303_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f420,f1501,f1543]) ).
fof(f1547,definition,
( sQ304_spl
<=> op2(e22,op2(e20,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1550,plain,
( sQ304_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f421,f1501,f1547]) ).
fof(f1551,definition,
( sQ305_spl
<=> op2(e23,op2(e20,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ305_spl
| op2(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(f1557,plain,
( sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f1228]) ).
fof(f1558,plain,
sQ228_spl,
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1576,plain,
( sQ212_spl
| ~ sQ285_spl
| h4(op1(e11,e11)) != op2(h4(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f1468,f1178]) ).
fof(f1578,plain,
( sQ212_spl
| ~ sQ285_spl
| h4(op1(e11,e11)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1468,f1576]) ).
fof(f1581,plain,
( ~ sQ283_spl
| ~ sQ287_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1476,f1459]) ).
fof(f1582,plain,
( ~ sQ283_spl
| ~ sQ287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f221]) ).
fof(f1583,plain,
( ~ sQ283_spl
| ~ sQ287_spl ),
inference(contradiction_clause,[status(thm)],[f1582]) ).
fof(f1593,plain,
( sQ213_spl
| ~ sQ285_spl
| h4(op1(e11,e12)) != op2(e22,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1468,f1181]) ).
fof(f1596,plain,
( ~ sQ281_spl
| ~ sQ285_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1468,f1451]) ).
fof(f1597,plain,
( ~ sQ281_spl
| ~ sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1596,f221]) ).
fof(f1598,plain,
( ~ sQ281_spl
| ~ sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f1597]) ).
fof(f1613,plain,
( ~ sQ270_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f266,f1404]) ).
fof(f1614,plain,
( ~ sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1613,f221]) ).
fof(f1615,plain,
~ sQ270_spl,
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1617,plain,
( ~ sQ269_spl
| ~ sQ273_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1417,f1400]) ).
fof(f1618,plain,
( ~ sQ269_spl
| ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1617,f221]) ).
fof(f1619,plain,
( ~ sQ269_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f1618]) ).
fof(f1625,plain,
( ~ sQ266_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f266,f1387]) ).
fof(f1626,plain,
( ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1625,f219]) ).
fof(f1627,plain,
~ sQ266_spl,
inference(contradiction_clause,[status(thm)],[f1626]) ).
fof(f1632,plain,
( ~ sQ262_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f1370,f262]) ).
fof(f1633,plain,
( ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1632,f221]) ).
fof(f1634,plain,
~ sQ262_spl,
inference(contradiction_clause,[status(thm)],[f1633]) ).
fof(f1637,plain,
( ~ sQ259_spl
| ~ sQ263_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1374,f1357]) ).
fof(f1638,plain,
( ~ sQ259_spl
| ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1637,f221]) ).
fof(f1639,plain,
( ~ sQ259_spl
| ~ sQ263_spl ),
inference(contradiction_clause,[status(thm)],[f1638]) ).
fof(f1648,plain,
( ~ sQ258_spl
| ~ sQ254_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1336,f1353]) ).
fof(f1649,plain,
( ~ sQ258_spl
| ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1648,f218]) ).
fof(f1650,plain,
( ~ sQ258_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f1649]) ).
fof(f1655,plain,
( ~ sQ250_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f1319,f258]) ).
fof(f1656,plain,
( ~ sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1655,f219]) ).
fof(f1657,plain,
~ sQ250_spl,
inference(contradiction_clause,[status(thm)],[f1656]) ).
fof(f1671,plain,
e10 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f252,f157]) ).
fof(f1672,plain,
op1(e12,e11) != e10,
inference(backward_demodulation,[status(thm)],[f252,f155]) ).
fof(f1673,plain,
op1(e12,e10) != e10,
inference(backward_demodulation,[status(thm)],[f252,f153]) ).
fof(f1674,plain,
e10 != op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f252,f133]) ).
fof(f1675,plain,
op1(e11,e12) != e10,
inference(backward_demodulation,[status(thm)],[f252,f131]) ).
fof(f1676,plain,
op1(e10,e12) != e10,
inference(backward_demodulation,[status(thm)],[f252,f129]) ).
fof(f1677,plain,
( ~ sQ278_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1438,f270]) ).
fof(f1678,plain,
( ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1677,f220]) ).
fof(f1679,plain,
~ sQ278_spl,
inference(contradiction_clause,[status(thm)],[f1678]) ).
fof(f1682,plain,
e11 != op1(e12,e11),
inference(backward_demodulation,[status(thm)],[f1686,f152]) ).
fof(f1683,plain,
e11 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f1686,f121]) ).
fof(f1685,plain,
op1(e10,e10) != e11,
inference(backward_demodulation,[status(thm)],[f1686,f117]) ).
fof(f1686,plain,
e11 = op1(e12,e10),
inference(forward_demodulation,[status(thm)],[f252,f253]) ).
fof(f1687,plain,
e13 = op1(op1(e12,e10),op1(e12,e12)),
inference(forward_demodulation,[status(thm)],[f252,f254]) ).
fof(f1688,plain,
e13 = op1(e11,op1(e12,e12)),
inference(forward_demodulation,[status(thm)],[f1686,f1687]) ).
fof(f1689,plain,
e13 != op1(e11,e13),
inference(backward_demodulation,[status(thm)],[f1694,f148]) ).
fof(f1690,plain,
e13 != op1(e11,e12),
inference(backward_demodulation,[status(thm)],[f1694,f147]) ).
fof(f1691,plain,
e13 != op1(e11,e11),
inference(backward_demodulation,[status(thm)],[f1694,f146]) ).
fof(f1692,plain,
e13 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f1694,f120]) ).
fof(f1693,plain,
op1(e10,e10) != e13,
inference(backward_demodulation,[status(thm)],[f1694,f116]) ).
fof(f1694,plain,
e13 = op1(e11,e10),
inference(forward_demodulation,[status(thm)],[f252,f1688]) ).
fof(f1696,plain,
op2(e22,e21) != e20,
inference(backward_demodulation,[status(thm)],[f255,f203]) ).
fof(f1698,plain,
e20 != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f255,f181]) ).
fof(f1699,plain,
op2(e21,e22) != e20,
inference(backward_demodulation,[status(thm)],[f255,f179]) ).
fof(f1700,plain,
op2(e20,e22) != e20,
inference(backward_demodulation,[status(thm)],[f255,f177]) ).
fof(f1708,plain,
e21 != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f1712,f200]) ).
fof(f1709,plain,
e21 != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f1712,f169]) ).
fof(f1712,plain,
e21 = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f255,f256]) ).
fof(f1713,plain,
e23 = op2(op2(e22,e20),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f255,f257]) ).
fof(f1714,plain,
e23 = op2(e21,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f1712,f1713]) ).
fof(f1715,plain,
e23 != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f1720,f196]) ).
fof(f1716,plain,
e23 != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f1720,f195]) ).
fof(f1717,plain,
e23 != op2(e21,e21),
inference(backward_demodulation,[status(thm)],[f1720,f194]) ).
fof(f1718,plain,
e23 != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f1720,f168]) ).
fof(f1719,plain,
op2(e20,e20) != e23,
inference(backward_demodulation,[status(thm)],[f1720,f164]) ).
fof(f1720,plain,
e23 = op2(e21,e20),
inference(forward_demodulation,[status(thm)],[f255,f1714]) ).
fof(f1723,plain,
( ~ sQ228_spl
| ~ sQ286_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f1472,f1227]) ).
fof(f1724,plain,
( ~ sQ228_spl
| ~ sQ286_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1723,f223]) ).
fof(f1725,plain,
( ~ sQ228_spl
| ~ sQ286_spl ),
inference(contradiction_clause,[status(thm)],[f1724]) ).
fof(f1730,plain,
( sQ212_spl
| ~ sQ285_spl
| h4(op1(e11,e11)) != e20 ),
inference(forward_demodulation,[status(thm)],[f255,f1578]) ).
fof(f1735,plain,
( ~ sQ280_spl
| ~ sQ276_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1430,f1447]) ).
fof(f1736,plain,
( ~ sQ280_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f218]) ).
fof(f1737,plain,
( ~ sQ280_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f1736]) ).
fof(f1754,plain,
h1(e11) = op2(e20,h1(e10)),
inference(forward_demodulation,[status(thm)],[f259,f260]) ).
fof(f1760,plain,
( sQ194_spl
| h3(e10) != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f252,f1120]) ).
fof(f1767,plain,
( ~ sQ194_spl
| h3(e10) = op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f252,f1119]) ).
fof(f1768,plain,
( ~ sQ194_spl
| h3(e10) = op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f266,f1767]) ).
fof(f1769,plain,
( ~ sQ194_spl
| h3(e10) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1768]) ).
fof(f1770,plain,
( ~ sQ194_spl
| h3(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f255,f1769]) ).
fof(f1775,plain,
( ~ sQ252_spl
| e20 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1778,f174]) ).
fof(f1778,plain,
( ~ sQ252_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1328,f263]) ).
fof(f1779,plain,
( ~ sQ253_spl
| e20 = op2(e21,op2(e21,e21)) ),
inference(forward_demodulation,[status(thm)],[f1332,f264]) ).
fof(f1780,plain,
( ~ sQ253_spl
| ~ sQ252_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f1781,f1720]) ).
fof(f1781,plain,
( ~ sQ253_spl
| ~ sQ252_spl
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1778,f1779]) ).
fof(f1782,plain,
( ~ sQ253_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1780,f220]) ).
fof(f1783,plain,
( ~ sQ253_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f1782]) ).
fof(f1787,plain,
( ~ sQ268_spl
| e21 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1396,f267]) ).
fof(f1788,plain,
( ~ sQ268_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f255,f1787]) ).
fof(f1789,plain,
( ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1788,f218]) ).
fof(f1790,plain,
~ sQ268_spl,
inference(contradiction_clause,[status(thm)],[f1789]) ).
fof(f1791,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f255,f267]) ).
fof(f1793,plain,
( ~ sQ269_spl
| ~ sQ265_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1383,f1400]) ).
fof(f1794,plain,
( ~ sQ269_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1793,f218]) ).
fof(f1795,plain,
( ~ sQ269_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1796,plain,
h3(e11) = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f255,f268]) ).
fof(f1797,plain,
h3(e11) = e21,
inference(forward_demodulation,[status(thm)],[f1712,f1796]) ).
fof(f1798,plain,
( sQ193_spl
| h3(op1(e12,e11)) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f266,f1117]) ).
fof(f1799,plain,
( sQ193_spl
| h3(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1797,f1798]) ).
fof(f1805,plain,
op2(e23,e22) != h4(e10),
inference(backward_demodulation,[status(thm)],[f271,f211]) ).
fof(f1809,plain,
op2(e21,e23) != h4(e10),
inference(backward_demodulation,[status(thm)],[f271,f186]) ).
fof(f1819,plain,
( sQ192_spl
| h3(e11) != op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1686,f1114]) ).
fof(f1820,plain,
( sQ192_spl
| e21 != op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1797,f1819]) ).
fof(f1821,plain,
( sQ192_spl
| e21 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f266,f1820]) ).
fof(f1823,plain,
( sQ191_spl
| h3(op1(e11,e13)) != op2(e21,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1797,f1111]) ).
fof(f1827,plain,
( sQ190_spl
| h3(op1(e11,e12)) != op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1797,f1108]) ).
fof(f1828,plain,
( sQ190_spl
| h3(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1827]) ).
fof(f1829,plain,
( sQ189_spl
| h3(op1(e11,e11)) != op2(e21,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1797,f1105]) ).
fof(f1830,plain,
( sQ189_spl
| h3(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1797,f1829]) ).
fof(f1839,plain,
( sQ186_spl
| h3(op1(e10,e12)) != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1096]) ).
fof(f1842,plain,
( ~ sQ246_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f258,f1302]) ).
fof(f1843,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1842,f218]) ).
fof(f1844,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f1843]) ).
fof(f1856,plain,
( sQ172_spl
| h2(op1(e12,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f262,f1050]) ).
fof(f1863,plain,
( sQ171_spl
| h2(e10) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f252,f1047]) ).
fof(f1864,plain,
( sQ171_spl
| h2(e10) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f262,f1863]) ).
fof(f1865,plain,
( sQ171_spl
| h2(e10) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1864]) ).
fof(f1866,plain,
( sQ170_spl
| h2(op1(e12,e11)) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f262,f1044]) ).
fof(f1869,plain,
( sQ169_spl
| h2(e11) != op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1686,f1041]) ).
fof(f1870,plain,
( sQ169_spl
| h2(e11) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f262,f1869]) ).
fof(f1872,plain,
( sQ167_spl
| h2(op1(e11,e12)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1035]) ).
fof(f1874,plain,
( sQ165_spl
| h2(e13) != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1694,f1029]) ).
fof(f1883,plain,
( sQ163_spl
| h2(op1(e10,e12)) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1023]) ).
fof(f1884,plain,
( ~ sQ282_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f1455,f270]) ).
fof(f1885,plain,
( ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1884,f222]) ).
fof(f1886,plain,
~ sQ282_spl,
inference(contradiction_clause,[status(thm)],[f1885]) ).
fof(f1892,plain,
( ~ sQ276_spl
| ~ sQ284_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1464,f1430]) ).
fof(f1893,plain,
( ~ sQ276_spl
| ~ sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1892,f219]) ).
fof(f1894,plain,
( ~ sQ276_spl
| ~ sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f1893]) ).
fof(f1903,plain,
( sQ192_spl
| ~ sQ194_spl
| e21 != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f1770,f1821]) ).
fof(f1911,plain,
( sQ192_spl
| ~ sQ194_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1712,f1903]) ).
fof(f1912,plain,
( sQ192_spl
| ~ sQ194_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1911]) ).
fof(f1913,plain,
( sQ192_spl
| ~ sQ194_spl ),
inference(contradiction_clause,[status(thm)],[f1912]) ).
fof(f1914,plain,
h3(e13) = op2(op2(e22,e20),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f255,f269]) ).
fof(f1915,plain,
h3(e13) = op2(e21,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f1712,f1914]) ).
fof(f1916,plain,
h3(e13) = op2(e21,e20),
inference(forward_demodulation,[status(thm)],[f255,f1915]) ).
fof(f1919,plain,
( sQ194_spl
| h3(e10) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f266,f1760]) ).
fof(f1920,plain,
( sQ194_spl
| h3(e10) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1919]) ).
fof(f1921,plain,
( sQ194_spl
| h3(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f255,f1920]) ).
fof(f1929,plain,
( ~ sQ272_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f1413,f1791]) ).
fof(f1930,plain,
( ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1929,f219]) ).
fof(f1931,plain,
~ sQ272_spl,
inference(contradiction_clause,[status(thm)],[f1930]) ).
fof(f1932,plain,
( ~ sQ194_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f1770,f1378,f1118]) ).
fof(f1933,plain,
( ~ sQ192_spl
| h3(e11) = op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1686,f1113]) ).
fof(f1934,plain,
( ~ sQ192_spl
| e21 = op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1797,f1933]) ).
fof(f1935,plain,
( ~ sQ192_spl
| e21 = op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f266,f1934]) ).
fof(f1939,plain,
( sQ149_spl
| h1(op1(e12,e13)) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f258,f977]) ).
fof(f1942,plain,
( sQ148_spl
| h1(e10) != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f252,f974]) ).
fof(f1943,plain,
( sQ148_spl
| h1(e10) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f258,f1942]) ).
fof(f1944,plain,
( sQ148_spl
| h1(e10) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f258,f1943]) ).
fof(f1945,plain,
( sQ148_spl
| h1(e10) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f259,f1944]) ).
fof(f1946,plain,
( sQ148_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1945]) ).
fof(f1947,plain,
sQ148_spl,
inference(contradiction_clause,[status(thm)],[f1946]) ).
fof(f1952,plain,
( sQ269_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1797,f1401]) ).
fof(f1953,plain,
( sQ269_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1952]) ).
fof(f1954,plain,
sQ269_spl,
inference(contradiction_clause,[status(thm)],[f1953]) ).
fof(f1955,plain,
( sQ274_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f266,f1422]) ).
fof(f1956,plain,
( sQ274_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1955]) ).
fof(f1957,plain,
sQ274_spl,
inference(contradiction_clause,[status(thm)],[f1956]) ).
fof(f1958,plain,
( sQ147_spl
| h1(op1(e12,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f258,f971]) ).
fof(f1960,plain,
( sQ146_spl
| h1(e11) != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1686,f968]) ).
fof(f1978,plain,
( sQ140_spl
| h1(op1(e10,e12)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f950]) ).
fof(f1993,plain,
( ~ sQ252_spl
| ~ sQ260_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f1362,f1328]) ).
fof(f1994,plain,
( ~ sQ252_spl
| ~ sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f219]) ).
fof(f1995,plain,
( ~ sQ252_spl
| ~ sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f1994]) ).
fof(f1996,plain,
( sQ258_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f262,f1354]) ).
fof(f1997,plain,
( sQ258_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1996]) ).
fof(f1998,plain,
sQ258_spl,
inference(contradiction_clause,[status(thm)],[f1997]) ).
fof(f1999,plain,
( sQ175_spl
| h2(op1(e13,e12)) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1059]) ).
fof(f2026,plain,
( ~ sQ123_spl
| op2(e23,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f856,f209]) ).
fof(f2039,plain,
( ~ sQ111_spl
| ~ sQ110_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f814,f817]) ).
fof(f2040,plain,
( ~ sQ111_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2039,f223]) ).
fof(f2041,plain,
( ~ sQ111_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f2040]) ).
fof(f2053,plain,
( ~ sQ277_spl
| ~ sQ285_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1468,f1434]) ).
fof(f2054,plain,
( ~ sQ277_spl
| ~ sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2053,f219]) ).
fof(f2055,plain,
( ~ sQ277_spl
| ~ sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f2054]) ).
fof(f2057,plain,
( sQ218_spl
| h4(op1(e12,e13)) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f270,f1196]) ).
fof(f2070,plain,
( ~ sQ125_spl
| ~ sQ124_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f860,f863]) ).
fof(f2071,plain,
( ~ sQ125_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f218]) ).
fof(f2072,plain,
( ~ sQ125_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f2071]) ).
fof(f2073,plain,
( sQ216_spl
| h4(op1(e12,e11)) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f270,f1190]) ).
fof(f2077,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f756,f759]) ).
fof(f2078,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2077,f218]) ).
fof(f2079,plain,
( ~ sQ93_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2078]) ).
fof(f2086,plain,
( ~ sQ117_spl
| ~ sQ116_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f834,f837]) ).
fof(f2087,plain,
( ~ sQ117_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2086,f218]) ).
fof(f2088,plain,
( ~ sQ117_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f2087]) ).
fof(f2093,plain,
( ~ sQ107_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f255,f804]) ).
fof(f2094,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2093,f220]) ).
fof(f2095,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f2094]) ).
fof(f2101,plain,
( ~ sQ75_spl
| op2(e20,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f700,f191]) ).
fof(f2104,plain,
( ~ sQ99_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1712,f778]) ).
fof(f2105,plain,
( ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2104,f222]) ).
fof(f2106,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f2105]) ).
fof(f2108,plain,
( ~ sQ106_spl
| e20 = e22 ),
inference(backward_demodulation,[status(thm)],[f801,f255]) ).
fof(f2109,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2108,f219]) ).
fof(f2110,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f2109]) ).
fof(f2117,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f788,f791]) ).
fof(f2118,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2117,f223]) ).
fof(f2119,plain,
( ~ sQ103_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f2118]) ).
fof(f2120,plain,
( ~ sQ98_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f775,f1712]) ).
fof(f2121,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f221]) ).
fof(f2122,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f2121]) ).
fof(f2124,plain,
( ~ sQ105_spl
| ~ sQ104_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f795,f798]) ).
fof(f2125,plain,
( ~ sQ105_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2124,f218]) ).
fof(f2126,plain,
( ~ sQ105_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f2125]) ).
fof(f2149,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f723,f726]) ).
fof(f2150,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2149,f223]) ).
fof(f2151,plain,
( ~ sQ83_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2150]) ).
fof(f2165,plain,
( sQ144_spl
| h1(op1(e11,e12)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f962]) ).
fof(f2167,plain,
( sQ146_spl
| h1(e11) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f258,f1960]) ).
fof(f2171,plain,
( ~ sQ63_spl
| op1(e13,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f629,f163]) ).
fof(f2172,plain,
( ~ sQ63_spl
| op1(e13,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f629,f162]) ).
fof(f2177,plain,
( sQ218_spl
| ~ sQ47_spl
| h4(e13) != op2(e23,h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f577,f2057]) ).
fof(f2180,plain,
( ~ sQ47_spl
| op1(e10,e13) != e13 ),
inference(backward_demodulation,[status(thm)],[f577,f135]) ).
fof(f2183,plain,
( sQ211_spl
| h4(e13) != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1694,f1175]) ).
fof(f2190,plain,
( ~ sQ15_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f473,f145]) ).
fof(f2193,plain,
( ~ sQ59_spl
| op1(e13,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f616,f161]) ).
fof(f2196,plain,
( ~ sQ59_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f616,f130]) ).
fof(f2203,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f626,f629]) ).
fof(f2204,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2203,f217]) ).
fof(f2205,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2204]) ).
fof(f2206,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f574,f577]) ).
fof(f2207,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2206,f217]) ).
fof(f2208,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2207]) ).
fof(f2215,plain,
( ~ sQ192_spl
| e21 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1791,f1935]) ).
fof(f2216,plain,
( ~ sQ192_spl
| ~ sQ96_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f769,f2215]) ).
fof(f2217,plain,
( ~ sQ192_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2216,f218]) ).
fof(f2218,plain,
( ~ sQ192_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f2217]) ).
fof(f2219,plain,
( sQ215_spl
| h4(e11) != op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1686,f1187]) ).
fof(f2220,plain,
( sQ215_spl
| h4(e11) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f270,f2219]) ).
fof(f2221,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f613,f616]) ).
fof(f2222,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2221,f217]) ).
fof(f2223,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2222]) ).
fof(f2237,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f516,f519]) ).
fof(f2238,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2237,f212]) ).
fof(f2239,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2238]) ).
fof(f2240,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f464,f467]) ).
fof(f2241,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2240,f212]) ).
fof(f2242,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2241]) ).
fof(f2246,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f594,f597]) ).
fof(f2247,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2246,f212]) ).
fof(f2248,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2247]) ).
fof(f2252,plain,
( ~ sQ43_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f252,f564]) ).
fof(f2253,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2252,f214]) ).
fof(f2254,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f2253]) ).
fof(f2261,plain,
( ~ sQ11_spl
| op1(e10,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f460,f143]) ).
fof(f2267,plain,
( ~ sQ35_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1686,f538]) ).
fof(f2268,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2267,f216]) ).
fof(f2269,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f2268]) ).
fof(f2271,plain,
( ~ sQ42_spl
| e10 = e12 ),
inference(backward_demodulation,[status(thm)],[f561,f252]) ).
fof(f2272,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2271,f213]) ).
fof(f2273,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2277,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f457,f460]) ).
fof(f2278,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2277,f217]) ).
fof(f2279,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2280,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f548,f551]) ).
fof(f2281,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2280,f217]) ).
fof(f2282,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2281]) ).
fof(f2283,plain,
( ~ sQ34_spl
| e11 = e12 ),
inference(backward_demodulation,[status(thm)],[f535,f1686]) ).
fof(f2284,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2283,f215]) ).
fof(f2285,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f2284]) ).
fof(f2313,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f444,f447]) ).
fof(f2314,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2313,f217]) ).
fof(f2315,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2314]) ).
fof(f2316,plain,
( ~ sQ18_spl
| e13 = e12 ),
inference(backward_demodulation,[status(thm)],[f483,f1694]) ).
fof(f2317,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f217]) ).
fof(f2318,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2319,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f490,f493]) ).
fof(f2320,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2319,f212]) ).
fof(f2321,plain,
( ~ sQ21_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2320]) ).
fof(f2322,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f438,f441]) ).
fof(f2323,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2322,f212]) ).
fof(f2324,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2323]) ).
fof(f2331,plain,
( sQ187_spl
| h3(op1(e10,e13)) != op2(e20,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1791,f1099]) ).
fof(f2343,plain,
( ~ sQ2_spl
| e12 != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f431,f118]) ).
fof(f2344,plain,
( ~ sQ2_spl
| e12 != op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f431,f142]) ).
fof(f2349,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f431,f425]) ).
fof(f2350,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2349,f213]) ).
fof(f2351,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2350]) ).
fof(f2355,plain,
( ~ sQ32_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f529,f1673]) ).
fof(f2356,plain,
( ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2355]) ).
fof(f2357,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f2356]) ).
fof(f2358,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(h3(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f1791,f1126]) ).
fof(f2367,plain,
( sQ152_spl
| h1(op1(e13,e12)) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f986]) ).
fof(f2368,plain,
( ~ sQ64_spl
| h1(e13) = op2(op2(e20,e20),op2(e20,e20)) ),
inference(forward_demodulation,[status(thm)],[f665,f261]) ).
fof(f2369,plain,
( ~ sQ64_spl
| h1(e13) = op2(e20,op2(e20,e20)) ),
inference(forward_demodulation,[status(thm)],[f665,f2368]) ).
fof(f2370,plain,
( ~ sQ64_spl
| h1(e13) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f665,f2369]) ).
fof(f2371,plain,
( ~ sQ64_spl
| h1(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f665,f2370]) ).
fof(f2379,plain,
( ~ sQ305_spl
| ~ sQ294_spl
| op2(e23,e20) = e23 ),
inference(backward_demodulation,[status(thm)],[f2380,f1552]) ).
fof(f2380,plain,
( ~ sQ294_spl
| op2(e20,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f1720,f1505]) ).
fof(f2381,plain,
( ~ sQ305_spl
| ~ sQ294_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2379,f1718]) ).
fof(f2382,plain,
( ~ sQ305_spl
| ~ sQ294_spl ),
inference(contradiction_clause,[status(thm)],[f2381]) ).
fof(f2383,plain,
( sQ294_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f1720,f1506]) ).
fof(f2384,plain,
( ~ sQ238_spl
| ~ sQ104_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f795,f1267]) ).
fof(f2387,plain,
( sQ186_spl
| h3(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1791,f1839]) ).
fof(f2388,plain,
( ~ sQ64_spl
| sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2371,f1290]) ).
fof(f2389,plain,
( ~ sQ64_spl
| sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f2388]) ).
fof(f2391,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f1700]) ).
fof(f2392,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f2391]) ).
fof(f2398,plain,
( ~ sQ245_spl
| ~ sQ241_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1281,f1298]) ).
fof(f2399,plain,
( ~ sQ245_spl
| ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2398,f218]) ).
fof(f2400,plain,
( ~ sQ245_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f2399]) ).
fof(f2401,plain,
( sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f263,f1865]) ).
fof(f2402,plain,
sQ171_spl,
inference(contradiction_clause,[status(thm)],[f2401]) ).
fof(f2403,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| h2(e10) = op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f555,f1046]) ).
fof(f2404,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| h2(e10) = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f262,f2403]) ).
fof(f2405,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| h2(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f262,f2404]) ).
fof(f2417,plain,
( ~ sQ295_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1509,f264]) ).
fof(f2418,plain,
( ~ sQ295_spl
| sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2417,f1350]) ).
fof(f2419,plain,
( ~ sQ295_spl
| sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f2418]) ).
fof(f2420,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f1717]) ).
fof(f2421,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f2420]) ).
fof(f2422,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f1716]) ).
fof(f2423,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f2422]) ).
fof(f2431,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f1720,f1916]) ).
fof(f2432,plain,
( sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2431,f1159]) ).
fof(f2433,plain,
sQ206_spl,
inference(contradiction_clause,[status(thm)],[f2432]) ).
fof(f2460,plain,
( ~ sQ127_spl
| h4(e10) = e23 ),
inference(backward_demodulation,[status(thm)],[f869,f271]) ).
fof(f2461,plain,
( ~ sQ127_spl
| sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2460,f1220]) ).
fof(f2462,plain,
( ~ sQ127_spl
| sQ226_spl ),
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2469,plain,
( ~ sQ226_spl
| op2(e23,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1219,f1805]) ).
fof(f2474,plain,
( ~ sQ226_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f2469,f855,f1218]) ).
fof(f2475,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f1715]) ).
fof(f2476,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f2475]) ).
fof(f2482,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f830,f1718]) ).
fof(f2483,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f2482]) ).
fof(f2485,plain,
( ~ sQ110_spl
| op2(e21,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f814,f185]) ).
fof(f2487,plain,
( ~ sQ110_spl
| op2(e20,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f814,f183]) ).
fof(f2496,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| h2(e13) = op2(op2(e21,op2(e21,e21)),h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f2405,f265]) ).
fof(f2497,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| op2(e20,e21) != h2(e10) ),
inference(backward_demodulation,[status(thm)],[f2405,f170]) ).
fof(f2498,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| h2(e10) != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f2405,f173]) ).
fof(f2502,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| h2(e13) = op2(op2(e21,h2(e10)),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2405,f2496]) ).
fof(f2507,plain,
( ~ sQ110_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f2485,f761,f813]) ).
fof(f2520,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f782,f1696]) ).
fof(f2521,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f2520]) ).
fof(f2522,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f785,f1708]) ).
fof(f2523,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f2522]) ).
fof(f2524,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f1709]) ).
fof(f2525,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f2524]) ).
fof(f2527,plain,
( sQ189_spl
| ~ sQ171_spl
| ~ sQ40_spl
| h3(op1(e11,e11)) != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f2405,f1830]) ).
fof(f2534,plain,
( ~ sQ89_spl
| e21 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f746,f180]) ).
fof(f2540,plain,
( ~ sQ89_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f2534,f849,f745]) ).
fof(f2542,plain,
( ~ sQ67_spl
| h1(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f674,f259]) ).
fof(f2543,plain,
( ~ sQ67_spl
| sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2542,f1001]) ).
fof(f2544,plain,
( ~ sQ67_spl
| sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f2543]) ).
fof(f2583,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f1689]) ).
fof(f2584,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f2583]) ).
fof(f2594,plain,
( ~ sQ46_spl
| op1(e11,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f574,f137]) ).
fof(f2600,plain,
( ~ sQ55_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f603,f2172]) ).
fof(f2601,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2600]) ).
fof(f2608,plain,
( ~ sQ292_spl
| ~ sQ29_spl
| op1(e13,e11) = e13 ),
inference(backward_demodulation,[status(thm)],[f519,f1496]) ).
fof(f2614,plain,
( ~ sQ301_spl
| ~ sQ13_spl
| op1(e13,e11) = e13 ),
inference(backward_demodulation,[status(thm)],[f467,f1535]) ).
fof(f2620,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f574,f571]) ).
fof(f2621,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2620,f215]) ).
fof(f2622,plain,
( ~ sQ45_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2621]) ).
fof(f2625,plain,
( ~ sQ53_spl
| e11 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f597,f161]) ).
fof(f2628,plain,
( ~ sQ130_spl
| ~ sQ53_spl
| op1(e11,e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f597,f912]) ).
fof(f2629,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2625,f609,f596]) ).
fof(f2631,plain,
( ~ sQ130_spl
| ~ sQ53_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f2628,f492,f596,f911]) ).
fof(f2633,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f1685]) ).
fof(f2634,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f2633]) ).
fof(f2641,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f1691]) ).
fof(f2642,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f2641]) ).
fof(f2648,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f1690]) ).
fof(f2649,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f2648]) ).
fof(f2658,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2180,f472,f576]) ).
fof(f2665,plain,
( ~ sQ29_spl
| e11 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f519,f137]) ).
fof(f2668,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2171,f615,f628]) ).
fof(f2674,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f434,f1693]) ).
fof(f2675,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2674]) ).
fof(f2678,plain,
( ~ sQ25_spl
| op1(e10,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f506,f128]) ).
fof(f2679,plain,
( ~ sQ25_spl
| op1(e11,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f506,f149]) ).
fof(f2686,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2678,f453,f505]) ).
fof(f2690,plain,
( ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f607,f1674]) ).
fof(f2691,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f2690]) ).
fof(f2692,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f1682]) ).
fof(f2693,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f2692]) ).
fof(f2694,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f542,f1672]) ).
fof(f2695,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f2694]) ).
fof(f2700,plain,
( ~ sQ289_spl
| op1(e10,e13) = e10 ),
inference(backward_demodulation,[status(thm)],[f1694,f1484]) ).
fof(f2706,plain,
( ~ sQ17_spl
| e13 = e11 ),
inference(backward_demodulation,[status(thm)],[f480,f1694]) ).
fof(f2707,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2706,f216]) ).
fof(f2708,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f2707]) ).
fof(f2709,plain,
( ~ sQ50_spl
| e12 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f587,f159]) ).
fof(f2710,plain,
( sQ173_spl
| ~ sQ50_spl
| h2(e12) != op2(h2(e13),h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f587,f1053]) ).
fof(f2713,plain,
( ~ sQ129_spl
| ~ sQ50_spl
| op1(e10,e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f587,f908]) ).
fof(f2714,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2709,f612,f586]) ).
fof(f2715,plain,
( sQ173_spl
| ~ sQ50_spl
| e21 != op2(h2(e13),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f262,f2710]) ).
fof(f2716,plain,
( ~ sQ129_spl
| ~ sQ50_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2713,f450,f586,f907]) ).
fof(f2717,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2344,f469,f430]) ).
fof(f2719,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2193,f602,f615]) ).
fof(f2720,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2196,f459,f615]) ).
fof(f2722,plain,
( ~ sQ9_spl
| e11 != op1(e10,e13) ),
inference(backward_demodulation,[status(thm)],[f454,f145]) ).
fof(f2725,plain,
( sQ186_spl
| ~ sQ9_spl
| h3(e11) != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f454,f2387]) ).
fof(f2726,plain,
( ~ sQ300_spl
| ~ sQ9_spl
| op1(e12,e11) = e12 ),
inference(backward_demodulation,[status(thm)],[f454,f1531]) ).
fof(f2730,plain,
( sQ186_spl
| ~ sQ9_spl
| e21 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1797,f2725]) ).
fof(f2743,plain,
( ~ sQ192_spl
| ~ sQ238_spl
| ~ sQ104_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2384,f2215]) ).
fof(f2744,plain,
( ~ sQ192_spl
| ~ sQ238_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2743,f221]) ).
fof(f2745,plain,
( ~ sQ192_spl
| ~ sQ238_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f2744]) ).
fof(f2746,plain,
( sQ194_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1791,f1921]) ).
fof(f2747,plain,
( sQ194_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2746]) ).
fof(f2748,plain,
sQ194_spl,
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2749,plain,
( sQ191_spl
| ~ sQ29_spl
| h3(e11) != op2(e21,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f519,f1823]) ).
fof(f2750,plain,
( sQ191_spl
| ~ sQ29_spl
| e21 != op2(e21,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1797,f2749]) ).
fof(f2752,plain,
( sQ294_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2383,f703,f1504]) ).
fof(f2753,plain,
( sQ168_spl
| ~ sQ29_spl
| h2(e11) != op2(h2(e11),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f519,f1038]) ).
fof(f2763,plain,
( ~ sQ73_spl
| e21 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f694,f178]) ).
fof(f2769,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| h2(e11) = op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2405,f264]) ).
fof(f2776,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ86_spl
| h2(e10) = e22 ),
inference(backward_demodulation,[status(thm)],[f736,f2405]) ).
fof(f2777,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ86_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2776,f1361,f735,f554,f1045]) ).
fof(f2780,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2431,f2358]) ).
fof(f2783,plain,
( sQ191_spl
| ~ sQ29_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2431,f2750]) ).
fof(f2784,plain,
( sQ187_spl
| h3(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2431,f2331]) ).
fof(f2819,plain,
( ~ sQ171_spl
| h2(op1(e12,e12)) = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f262,f1046]) ).
fof(f2820,plain,
( ~ sQ171_spl
| h2(op1(e12,e12)) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f262,f2819]) ).
fof(f2870,plain,
( ~ sQ134_spl
| ~ sQ114_spl
| op2(e20,e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f827,f927]) ).
fof(f2871,plain,
( ~ sQ134_spl
| ~ sQ114_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f2870,f690,f826,f926]) ).
fof(f2875,plain,
( ~ sQ92_spl
| e20 != h4(e10) ),
inference(backward_demodulation,[status(thm)],[f756,f1809]) ).
fof(f2885,plain,
( ~ sQ73_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f2763,f849,f693]) ).
fof(f2889,plain,
( ~ sQ110_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2487,f709,f813]) ).
fof(f2890,plain,
( ~ sQ75_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f2101,f686,f699]) ).
fof(f2900,plain,
( ~ sQ29_spl
| ~ sQ30_spl
| e12 = e11 ),
inference(backward_demodulation,[status(thm)],[f522,f519]) ).
fof(f2901,plain,
( ~ sQ29_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2900,f215]) ).
fof(f2902,plain,
( ~ sQ29_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2901]) ).
fof(f2915,plain,
( ~ sQ61_spl
| op1(e10,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f623,f136]) ).
fof(f2916,plain,
( ~ sQ61_spl
| op1(e11,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f623,f138]) ).
fof(f2927,plain,
( ~ sQ301_spl
| ~ sQ12_spl
| op1(e13,e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f464,f1535]) ).
fof(f2928,plain,
( ~ sQ12_spl
| e10 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f464,f134]) ).
fof(f2929,plain,
( ~ sQ12_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f464,f142]) ).
fof(f2931,plain,
( ~ sQ301_spl
| ~ sQ12_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2927,f589,f463,f1534]) ).
fof(f2932,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2929,f424,f463]) ).
fof(f2966,plain,
( ~ sQ301_spl
| ~ sQ13_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2614,f602,f466,f1534]) ).
fof(f2969,plain,
( ~ sQ61_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2915,f466,f622]) ).
fof(f2971,plain,
( ~ sQ300_spl
| ~ sQ9_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2726,f547,f453,f1530]) ).
fof(f2973,plain,
( sQ186_spl
| ~ sQ9_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f2730,f693,f453,f1094]) ).
fof(f2974,plain,
( ~ sQ186_spl
| h3(op1(e10,e12)) = op2(e20,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1791,f1095]) ).
fof(f2975,plain,
( ~ sQ186_spl
| h3(op1(e10,e12)) = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f2974]) ).
fof(f2980,plain,
( ~ sQ231_spl
| op1(e10,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f1686,f1238]) ).
fof(f2984,plain,
( ~ sQ294_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f2380,f703,f1504]) ).
fof(f2986,plain,
( ~ sQ302_spl
| ~ sQ66_spl
| op2(e20,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f671,f1540]) ).
fof(f3001,plain,
( ~ sQ10_spl
| e12 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f457,f128]) ).
fof(f3002,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3001,f508,f456]) ).
fof(f3011,plain,
( ~ sQ171_spl
| ~ sQ85_spl
| h2(op1(e12,e12)) = e21 ),
inference(backward_demodulation,[status(thm)],[f733,f2820]) ).
fof(f3025,plain,
( sQ152_spl
| ~ sQ59_spl
| h1(e13) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f616,f2367]) ).
fof(f3033,plain,
( ~ sQ90_spl
| op2(e20,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f749,f176]) ).
fof(f3034,plain,
( ~ sQ158_spl
| ~ sQ241_spl
| e20 = e23 ),
inference(backward_demodulation,[status(thm)],[f1281,f1004]) ).
fof(f3035,plain,
( ~ sQ158_spl
| ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3034,f220]) ).
fof(f3036,plain,
( ~ sQ158_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f3035]) ).
fof(f3044,plain,
( sQ295_spl
| ~ sQ85_spl
| op2(e21,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f733,f1510]) ).
fof(f3045,plain,
( sQ295_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f733,f3044]) ).
fof(f3046,plain,
( sQ295_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3045]) ).
fof(f3047,plain,
( sQ295_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3046]) ).
fof(f3068,plain,
( ~ sQ85_spl
| ~ sQ260_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f3069,f733]) ).
fof(f3069,plain,
( ~ sQ260_spl
| e22 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1362,f263]) ).
fof(f3070,plain,
( ~ sQ85_spl
| ~ sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3068,f221]) ).
fof(f3071,plain,
( ~ sQ85_spl
| ~ sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f3070]) ).
fof(f3095,plain,
( ~ sQ89_spl
| ~ sQ90_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f749,f746]) ).
fof(f3096,plain,
( ~ sQ89_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3095,f221]) ).
fof(f3097,plain,
( ~ sQ89_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f3096]) ).
fof(f3121,plain,
( ~ sQ292_spl
| ~ sQ29_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2608,f602,f518,f1495]) ).
fof(f3130,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2261,f446,f459]) ).
fof(f3131,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2190,f459,f472]) ).
fof(f3133,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2594,f521,f573]) ).
fof(f3134,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2665,f570,f518]) ).
fof(f3135,plain,
( ~ sQ41_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f252,f558]) ).
fof(f3136,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3135,f212]) ).
fof(f3137,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f3136]) ).
fof(f3138,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f568,f1671]) ).
fof(f3139,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f3138]) ).
fof(f3148,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2722,f466,f453]) ).
fof(f3149,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f1675]) ).
fof(f3150,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f3149]) ).
fof(f3151,plain,
( ~ sQ171_spl
| ~ sQ85_spl
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f252,f3011]) ).
fof(f3152,plain,
( ~ sQ231_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2980,f437,f1237]) ).
fof(f3164,plain,
h4(e13) = op2(op2(e23,h4(e10)),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f271,f273]) ).
fof(f3165,plain,
h4(e13) = op2(op2(e23,h4(e10)),h4(e10)),
inference(forward_demodulation,[status(thm)],[f271,f3164]) ).
fof(f3172,plain,
( ~ sQ134_spl
| ~ sQ112_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f821,f927]) ).
fof(f3173,plain,
( ~ sQ134_spl
| ~ sQ112_spl
| ~ sQ66_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f671,f3172]) ).
fof(f3174,plain,
( ~ sQ134_spl
| ~ sQ112_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3173,f219]) ).
fof(f3175,plain,
( ~ sQ134_spl
| ~ sQ112_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f3174]) ).
fof(f3176,plain,
h4(e11) = op2(e23,h4(e10)),
inference(forward_demodulation,[status(thm)],[f271,f272]) ).
fof(f3186,plain,
( sQ134_spl
| ~ sQ112_spl
| op2(e20,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f821,f928]) ).
fof(f3188,plain,
( sQ152_spl
| ~ sQ59_spl
| ~ sQ243_spl
| e20 != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f1289,f3025]) ).
fof(f3189,plain,
( sQ152_spl
| ~ sQ59_spl
| ~ sQ243_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1289,f3188]) ).
fof(f3195,plain,
( ~ sQ233_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f252,f1246]) ).
fof(f3203,plain,
( ~ sQ81_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f720,f1720]) ).
fof(f3204,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3203,f222]) ).
fof(f3205,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f3204]) ).
fof(f3208,plain,
( ~ sQ22_spl
| e12 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f496,f149]) ).
fof(f3214,plain,
( ~ sQ22_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3208,f508,f495]) ).
fof(f3217,plain,
( ~ sQ16_spl
| e13 = e10 ),
inference(backward_demodulation,[status(thm)],[f477,f1694]) ).
fof(f3218,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3217,f214]) ).
fof(f3219,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f3218]) ).
fof(f3232,plain,
( sQ190_spl
| ~ sQ26_spl
| h3(e12) != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f509,f1828]) ).
fof(f3236,plain,
( sQ190_spl
| ~ sQ26_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f3232]) ).
fof(f3280,plain,
( ~ sQ122_spl
| op2(e23,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f853,f207]) ).
fof(f3281,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2679,f492,f505]) ).
fof(f3292,plain,
h2(e10) != op2(e21,e22),
inference(forward_demodulation,[status(thm)],[f263,f197]) ).
fof(f3293,plain,
( ~ sQ260_spl
| e22 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f1362,f3292]) ).
fof(f3301,plain,
( ~ sQ102_spl
| op2(e20,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f788,f171]) ).
fof(f3305,plain,
( ~ sQ102_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f3301,f683,f787]) ).
fof(f3306,plain,
( sQ193_spl
| ~ sQ102_spl
| h3(op1(e12,e11)) != e22 ),
inference(forward_demodulation,[status(thm)],[f788,f1799]) ).
fof(f3318,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f1676]) ).
fof(f3319,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f3318]) ).
fof(f3323,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f1683]) ).
fof(f3324,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f3323]) ).
fof(f3337,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ257_spl
| e21 = op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1349,f2769]) ).
fof(f3340,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ102_spl
| h2(e10) != e22 ),
inference(forward_demodulation,[status(thm)],[f788,f2498]) ).
fof(f3369,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ102_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f3340,f1361,f787,f554,f1045]) ).
fof(f3370,plain,
( sQ242_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f258,f1286]) ).
fof(f3371,plain,
( sQ242_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3370]) ).
fof(f3372,plain,
sQ242_spl,
inference(contradiction_clause,[status(thm)],[f3371]) ).
fof(f3375,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f1699]) ).
fof(f3376,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f3375]) ).
fof(f3384,plain,
h4(e13) = op2(h4(e11),h4(e10)),
inference(backward_demodulation,[status(thm)],[f3176,f3165]) ).
fof(f3385,plain,
( sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3384,f2183]) ).
fof(f3386,plain,
sQ211_spl,
inference(contradiction_clause,[status(thm)],[f3385]) ).
fof(f3397,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ84_spl
| h2(e10) = e20 ),
inference(backward_demodulation,[status(thm)],[f730,f2405]) ).
fof(f3398,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ84_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3397,f1327,f729,f554,f1045]) ).
fof(f3406,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ257_spl
| ~ sQ252_spl
| e21 = op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f1328,f3337]) ).
fof(f3410,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ257_spl
| ~ sQ252_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f3406,f719,f1327,f1348,f554,f1045]) ).
fof(f3411,plain,
( ~ sQ90_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f3033,f696,f748]) ).
fof(f3414,plain,
( ~ sQ260_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3293,f748,f1361]) ).
fof(f3425,plain,
( ~ sQ211_spl
| h4(e13) = op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1694,f1174]) ).
fof(f3431,plain,
h1(e10) != e23,
inference(forward_demodulation,[status(thm)],[f259,f1719]) ).
fof(f3446,plain,
( ~ sQ25_spl
| e11 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f506,f151]) ).
fof(f3447,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ69_spl
| e21 != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f681,f2497]) ).
fof(f3448,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ69_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3151,f3447]) ).
fof(f3449,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ69_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3448]) ).
fof(f3450,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ69_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3449]) ).
fof(f3457,plain,
( ~ sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2026,f842,f855]) ).
fof(f3476,plain,
( ~ sQ76_spl
| e20 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f704,f182]) ).
fof(f3479,plain,
( sQ216_spl
| ~ sQ38_spl
| h4(e12) != op2(e23,h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f548,f2073]) ).
fof(f3484,plain,
( sQ216_spl
| ~ sQ38_spl
| e23 != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f270,f3479]) ).
fof(f3489,plain,
( ~ sQ299_spl
| ~ sQ4_spl
| op1(e11,e10) = e11 ),
inference(backward_demodulation,[status(thm)],[f438,f1527]) ).
fof(f3497,plain,
( ~ sQ299_spl
| ~ sQ4_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3489,f479,f437,f1526]) ).
fof(f3499,plain,
( sQ193_spl
| ~ sQ102_spl
| ~ sQ38_spl
| h3(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f548,f3306]) ).
fof(f3500,plain,
( sQ193_spl
| ~ sQ102_spl
| ~ sQ38_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f266,f3499]) ).
fof(f3501,plain,
( sQ193_spl
| ~ sQ102_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3500]) ).
fof(f3502,plain,
( sQ193_spl
| ~ sQ102_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3501]) ).
fof(f3557,plain,
( sQ153_spl
| ~ sQ243_spl
| h1(op1(e13,e13)) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1289,f989]) ).
fof(f3558,plain,
( sQ153_spl
| ~ sQ243_spl
| h1(op1(e13,e13)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1289,f3557]) ).
fof(f3559,plain,
( sQ153_spl
| ~ sQ243_spl
| h1(op1(e13,e13)) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f259,f3558]) ).
fof(f3563,plain,
( sQ151_spl
| ~ sQ243_spl
| h1(op1(e13,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1289,f983]) ).
fof(f3564,plain,
( sQ150_spl
| ~ sQ243_spl
| h1(op1(e13,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1289,f980]) ).
fof(f3565,plain,
( sQ150_spl
| ~ sQ243_spl
| h1(op1(e13,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1754,f3564]) ).
fof(f3567,plain,
( sQ149_spl
| ~ sQ243_spl
| h1(op1(e12,e13)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1289,f1939]) ).
fof(f3568,plain,
( sQ149_spl
| ~ sQ243_spl
| h1(op1(e12,e13)) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f259,f3567]) ).
fof(f3569,plain,
( sQ145_spl
| ~ sQ243_spl
| h1(op1(e11,e13)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f1289,f965]) ).
fof(f3570,plain,
( sQ141_spl
| ~ sQ243_spl
| h1(op1(e10,e13)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f1289,f953]) ).
fof(f3574,plain,
( sQ215_spl
| h4(e11) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f3176,f2220]) ).
fof(f3575,plain,
( sQ215_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3574]) ).
fof(f3576,plain,
sQ215_spl,
inference(contradiction_clause,[status(thm)],[f3575]) ).
fof(f3577,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f1692]) ).
fof(f3578,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f3577]) ).
fof(f3586,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2928,f515,f463]) ).
fof(f3588,plain,
( ~ sQ80_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f717,f1720]) ).
fof(f3589,plain,
( ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3588,f220]) ).
fof(f3590,plain,
~ sQ80_spl,
inference(contradiction_clause,[status(thm)],[f3589]) ).
fof(f3592,plain,
( ~ sQ92_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f756,f3476]) ).
fof(f3593,plain,
( ~ sQ92_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f3592]) ).
fof(f3597,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f1698]) ).
fof(f3598,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f3597]) ).
fof(f3599,plain,
( ~ sQ193_spl
| h3(op1(e12,e11)) = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f266,f1116]) ).
fof(f3600,plain,
( ~ sQ193_spl
| h3(op1(e12,e11)) = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1797,f3599]) ).
fof(f3601,plain,
( ~ sQ302_spl
| op2(e20,h1(e10)) = e20 ),
inference(forward_demodulation,[status(thm)],[f259,f1540]) ).
fof(f3605,plain,
( ~ sQ122_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f3280,f826,f852]) ).
fof(f3607,plain,
( ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f3431]) ).
fof(f3608,plain,
~ sQ157_spl,
inference(contradiction_clause,[status(thm)],[f3607]) ).
fof(f3609,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3446,f518,f505]) ).
fof(f3610,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2916,f518,f622]) ).
fof(f3612,plain,
( ~ sQ124_spl
| h4(e10) = e20 ),
inference(backward_demodulation,[status(thm)],[f860,f271]) ).
fof(f3613,plain,
( ~ sQ124_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f3612,f1429,f859]) ).
fof(f3614,plain,
( sQ134_spl
| ~ sQ112_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3186,f664,f820,f926]) ).
fof(f3616,plain,
( ~ sQ92_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f2875,f1429,f755]) ).
fof(f3646,plain,
( ~ sQ193_spl
| ~ sQ102_spl
| h3(op1(e12,e11)) = e22 ),
inference(forward_demodulation,[status(thm)],[f788,f3600]) ).
fof(f3671,plain,
( ~ sQ302_spl
| ~ sQ66_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f2986,f690,f670,f1539]) ).
fof(f3693,plain,
( ~ sQ52_spl
| op1(e13,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f594,f158]) ).
fof(f3710,plain,
( ~ sQ5_spl
| e11 != op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f441,f122]) ).
fof(f3718,plain,
( ~ sQ302_spl
| h1(e11) = e20 ),
inference(backward_demodulation,[status(thm)],[f3601,f1754]) ).
fof(f3719,plain,
( ~ sQ302_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3718,f1280,f1539]) ).
fof(f3730,plain,
( ~ sQ28_spl
| e10 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f516,f138]) ).
fof(f3734,plain,
( sQ207_spl
| ~ sQ0_spl
| h4(e10) != op2(h4(e10),h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f425,f1163]) ).
fof(f3738,plain,
( ~ sQ303_spl
| ~ sQ68_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f3739,f1720]) ).
fof(f3739,plain,
( ~ sQ303_spl
| ~ sQ68_spl
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f678,f1544]) ).
fof(f3740,plain,
( ~ sQ303_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3738,f222]) ).
fof(f3741,plain,
( ~ sQ303_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f3740]) ).
fof(f3750,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f3710]) ).
fof(f3751,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3750]) ).
fof(f3758,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f594,f603]) ).
fof(f3759,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3758,f214]) ).
fof(f3760,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3759]) ).
fof(f3773,plain,
( sQ151_spl
| ~ sQ243_spl
| ~ sQ241_spl
| h1(op1(e13,e11)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1281,f3563]) ).
fof(f3774,plain,
( sQ151_spl
| ~ sQ243_spl
| ~ sQ241_spl
| h1(op1(e13,e11)) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f259,f3773]) ).
fof(f3779,plain,
( sQ150_spl
| ~ sQ243_spl
| ~ sQ241_spl
| h1(op1(e13,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1281,f3565]) ).
fof(f3783,plain,
( sQ147_spl
| ~ sQ241_spl
| h1(op1(e12,e11)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1281,f1958]) ).
fof(f3784,plain,
( sQ147_spl
| ~ sQ241_spl
| h1(op1(e12,e11)) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f259,f3783]) ).
fof(f3786,plain,
( sQ145_spl
| ~ sQ243_spl
| ~ sQ241_spl
| h1(op1(e11,e13)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1281,f3569]) ).
fof(f3787,plain,
( sQ145_spl
| ~ sQ243_spl
| ~ sQ241_spl
| h1(op1(e11,e13)) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f259,f3786]) ).
fof(f3792,plain,
( sQ143_spl
| ~ sQ241_spl
| h1(op1(e11,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1281,f959]) ).
fof(f3793,plain,
( sQ143_spl
| ~ sQ241_spl
| h1(op1(e11,e11)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1281,f3792]) ).
fof(f3794,plain,
( sQ143_spl
| ~ sQ241_spl
| h1(op1(e11,e11)) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f259,f3793]) ).
fof(f3798,plain,
( sQ144_spl
| ~ sQ241_spl
| h1(op1(e11,e12)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1281,f2165]) ).
fof(f3799,plain,
( sQ144_spl
| ~ sQ241_spl
| h1(op1(e11,e12)) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f259,f3798]) ).
fof(f3804,plain,
( sQ146_spl
| ~ sQ241_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1281,f2167]) ).
fof(f3805,plain,
( sQ146_spl
| ~ sQ241_spl
| ~ sQ302_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3601,f3804]) ).
fof(f3806,plain,
( sQ146_spl
| ~ sQ241_spl
| ~ sQ302_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3805]) ).
fof(f3807,plain,
( sQ146_spl
| ~ sQ241_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f3806]) ).
fof(f3867,plain,
( ~ sQ305_spl
| ~ sQ79_spl
| op2(e23,e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f713,f1552]) ).
fof(f3868,plain,
( ~ sQ305_spl
| ~ sQ79_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f3867,f868,f712,f1551]) ).
fof(f3875,plain,
( ~ sQ299_spl
| ~ sQ5_spl
| op1(e11,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f441,f1527]) ).
fof(f3876,plain,
( ~ sQ299_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3875,f3710]) ).
fof(f3877,plain,
( ~ sQ299_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3876]) ).
fof(f3882,plain,
( ~ sQ289_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f2700,f463,f1483]) ).
fof(f3883,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2343,f586,f430]) ).
fof(f3885,plain,
( ~ sQ233_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f3195,f534,f1245]) ).
fof(f3888,plain,
( sQ196_spl
| ~ sQ114_spl
| h3(op1(e13,e10)) != e22 ),
inference(forward_demodulation,[status(thm)],[f827,f2780]) ).
fof(f3904,plain,
( sQ139_spl
| ~ sQ241_spl
| h1(op1(e10,e11)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f1281,f947]) ).
fof(f3907,plain,
( ~ sQ64_spl
| h1(e10) = e20 ),
inference(backward_demodulation,[status(thm)],[f665,f259]) ).
fof(f3908,plain,
( ~ sQ64_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f3907,f1276,f664]) ).
fof(f3914,plain,
( ~ sQ303_spl
| ~ sQ70_spl
| op2(e21,e22) = e21 ),
inference(backward_demodulation,[status(thm)],[f684,f1544]) ).
fof(f3917,plain,
( ~ sQ303_spl
| ~ sQ70_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3914,f745,f683,f1543]) ).
fof(f3930,plain,
( ~ sQ211_spl
| ~ sQ276_spl
| h4(e13) = op2(h4(e11),e20) ),
inference(backward_demodulation,[status(thm)],[f1430,f3425]) ).
fof(f3939,plain,
( sQ219_spl
| ~ sQ276_spl
| h4(op1(e13,e10)) != op2(h4(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f1430,f1199]) ).
fof(f3950,plain,
( ~ sQ276_spl
| e20 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1430,f271]) ).
fof(f3954,plain,
( ~ sQ276_spl
| h4(e11) = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1430,f3176]) ).
fof(f3955,plain,
( ~ sQ276_spl
| ~ sQ114_spl
| h4(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f827,f3954]) ).
fof(f3956,plain,
( ~ sQ276_spl
| ~ sQ114_spl
| sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3955,f1469]) ).
fof(f3957,plain,
( ~ sQ276_spl
| ~ sQ114_spl
| sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f3956]) ).
fof(f3958,plain,
( sQ213_spl
| ~ sQ285_spl
| h4(op1(e11,e12)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f270,f1593]) ).
fof(f3960,plain,
( sQ220_spl
| ~ sQ276_spl
| ~ sQ114_spl
| h4(op1(e13,e11)) != op2(h4(e13),e22) ),
inference(backward_demodulation,[status(thm)],[f3955,f1202]) ).
fof(f3990,plain,
( ~ sQ2_spl
| e12 != op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f431,f140]) ).
fof(f3998,plain,
( ~ sQ132_spl
| ~ sQ61_spl
| op1(e12,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f3999,f127]) ).
fof(f3999,plain,
( ~ sQ132_spl
| ~ sQ61_spl
| op1(e13,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f623,f920]) ).
fof(f4001,plain,
( ~ sQ132_spl
| ~ sQ61_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3998,f550,f622,f919]) ).
fof(f4009,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3693,f580,f593]) ).
fof(f4010,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f3990]) ).
fof(f4011,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4010]) ).
fof(f4014,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f3730,f619,f515]) ).
fof(f4019,plain,
( sQ216_spl
| ~ sQ38_spl
| ~ sQ276_spl
| ~ sQ114_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3955,f3484]) ).
fof(f4021,plain,
( ~ sQ129_spl
| ~ sQ48_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f581,f908]) ).
fof(f4022,plain,
( ~ sQ129_spl
| ~ sQ48_spl
| ~ sQ2_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f431,f4021]) ).
fof(f4023,plain,
( ~ sQ129_spl
| ~ sQ48_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4022,f213]) ).
fof(f4024,plain,
( ~ sQ129_spl
| ~ sQ48_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4023]) ).
fof(f4034,plain,
( ~ sQ193_spl
| ~ sQ102_spl
| e22 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3646,f3600]) ).
fof(f4036,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| h2(e13) = op2(op2(e21,e20),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1328,f2502]) ).
fof(f4037,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| h2(e13) = op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1720,f4036]) ).
fof(f4038,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| h2(e13) = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1328,f4037]) ).
fof(f4039,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| h2(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f827,f4038]) ).
fof(f4040,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4039,f1375]) ).
fof(f4041,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| sQ263_spl ),
inference(contradiction_clause,[status(thm)],[f4040]) ).
fof(f4047,plain,
( sQ189_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| h3(op1(e11,e11)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1328,f2527]) ).
fof(f4053,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| h2(e11) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1328,f2769]) ).
fof(f4056,plain,
( ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| h2(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f1720,f4053]) ).
fof(f4068,plain,
( ~ sQ305_spl
| ~ sQ78_spl
| op2(e23,e22) = e23 ),
inference(backward_demodulation,[status(thm)],[f710,f1552]) ).
fof(f4072,plain,
( ~ sQ305_spl
| ~ sQ78_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f4068,f855,f709,f1551]) ).
fof(f4073,plain,
( sQ191_spl
| ~ sQ29_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2783,f758,f518,f1109]) ).
fof(f4075,plain,
( sQ190_spl
| ~ sQ26_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3236,f748,f508,f1106]) ).
fof(f4077,plain,
( ~ sQ190_spl
| h3(op1(e11,e12)) = op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1797,f1107]) ).
fof(f4078,plain,
( ~ sQ190_spl
| h3(op1(e11,e12)) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f4077]) ).
fof(f4080,plain,
( ~ sQ191_spl
| h3(op1(e11,e13)) = op2(e21,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1797,f1110]) ).
fof(f4081,plain,
( ~ sQ191_spl
| h3(op1(e11,e13)) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2431,f4080]) ).
fof(f4114,plain,
( ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| h4(e13) = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3955,f3930]) ).
fof(f4115,plain,
( ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| h4(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f2215,f4114]) ).
fof(f4116,plain,
( ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4115,f1460]) ).
fof(f4117,plain,
( ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| sQ283_spl ),
inference(contradiction_clause,[status(thm)],[f4116]) ).
fof(f4135,plain,
( sQ213_spl
| ~ sQ285_spl
| ~ sQ111_spl
| h4(op1(e11,e12)) != e23 ),
inference(forward_demodulation,[status(thm)],[f817,f3958]) ).
fof(f4147,plain,
( sQ220_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ211_spl
| ~ sQ192_spl
| h4(op1(e13,e11)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f4115,f3960]) ).
fof(f4167,plain,
( sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| e21 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f4115,f2177]) ).
fof(f4168,plain,
( sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| e21 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f4115,f4167]) ).
fof(f4214,plain,
( ~ sQ290_spl
| ~ sQ20_spl
| op1(e11,e10) = e11 ),
inference(backward_demodulation,[status(thm)],[f490,f1488]) ).
fof(f4216,plain,
( sQ189_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ20_spl
| h3(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f490,f4047]) ).
fof(f4217,plain,
( sQ212_spl
| ~ sQ285_spl
| ~ sQ20_spl
| h4(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f490,f1730]) ).
fof(f4222,plain,
( ~ sQ290_spl
| ~ sQ20_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f4214,f479,f489,f1487]) ).
fof(f4223,plain,
( sQ189_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ20_spl
| ~ sQ264_spl ),
inference(split_clause,[status(thm)],[f4216,f1378,f489,f1327,f554,f1045,f1103]) ).
fof(f4224,plain,
( sQ212_spl
| ~ sQ285_spl
| ~ sQ20_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f4217,f1429,f489,f1467,f1176]) ).
fof(f4238,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| e20 != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1430,f3734]) ).
fof(f4239,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| e20 != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1430,f4238]) ).
fof(f4240,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1430,f4239]) ).
fof(f4241,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f665,f4240]) ).
fof(f4242,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4241]) ).
fof(f4243,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4242]) ).
fof(f4251,plain,
( sQ219_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| h4(op1(e13,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4115,f3939]) ).
fof(f4252,plain,
( sQ219_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| h4(op1(e13,e10)) != e23 ),
inference(forward_demodulation,[status(thm)],[f1720,f4251]) ).
fof(f4257,plain,
( sQ176_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| h2(op1(e13,e13)) != op2(e22,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4039,f1062]) ).
fof(f4258,plain,
( sQ176_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| h2(op1(e13,e13)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f4039,f4257]) ).
fof(f4259,plain,
( sQ176_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| h2(op1(e13,e13)) != e20 ),
inference(forward_demodulation,[status(thm)],[f255,f4258]) ).
fof(f4261,plain,
( sQ213_spl
| ~ sQ285_spl
| ~ sQ111_spl
| ~ sQ26_spl
| h4(e12) != e23 ),
inference(backward_demodulation,[status(thm)],[f509,f4135]) ).
fof(f4266,plain,
( sQ213_spl
| ~ sQ285_spl
| ~ sQ111_spl
| ~ sQ26_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f4261,f1226,f508,f816,f1467,f1179]) ).
fof(f4271,plain,
( ~ sQ123_spl
| sQ216_spl
| ~ sQ38_spl
| ~ sQ276_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f856,f4019]) ).
fof(f4272,plain,
( ~ sQ123_spl
| sQ216_spl
| ~ sQ38_spl
| ~ sQ276_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f4271]) ).
fof(f4273,plain,
( ~ sQ216_spl
| ~ sQ38_spl
| h4(e12) = op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f548,f1189]) ).
fof(f4274,plain,
( ~ sQ216_spl
| ~ sQ38_spl
| e23 = op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f270,f4273]) ).
fof(f4275,plain,
( ~ sQ216_spl
| ~ sQ38_spl
| e23 = op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f270,f4274]) ).
fof(f4276,plain,
( ~ sQ216_spl
| ~ sQ38_spl
| ~ sQ276_spl
| ~ sQ114_spl
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3955,f4275]) ).
fof(f4278,plain,
( ~ sQ303_spl
| ~ sQ71_spl
| op2(e21,e23) = e21 ),
inference(backward_demodulation,[status(thm)],[f687,f1544]) ).
fof(f4282,plain,
( ~ sQ303_spl
| ~ sQ71_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f4278,f758,f686,f1543]) ).
fof(f4284,plain,
( ~ sQ117_spl
| sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f4168]) ).
fof(f4285,plain,
( ~ sQ117_spl
| sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl ),
inference(contradiction_clause,[status(thm)],[f4284]) ).
fof(f4286,plain,
( ~ sQ218_spl
| ~ sQ47_spl
| h4(e13) = op2(h4(e12),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f577,f1195]) ).
fof(f4287,plain,
( ~ sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| e21 = op2(h4(e12),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f4115,f4286]) ).
fof(f4288,plain,
( ~ sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| e21 = op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f270,f4287]) ).
fof(f4289,plain,
( ~ sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f4115,f4288]) ).
fof(f4299,plain,
( ~ sQ186_spl
| ~ sQ9_spl
| h3(e11) = op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f454,f2975]) ).
fof(f4301,plain,
( ~ sQ186_spl
| ~ sQ9_spl
| e21 = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1797,f4299]) ).
fof(f4346,plain,
( sQ196_spl
| ~ sQ114_spl
| ~ sQ50_spl
| h3(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f587,f3888]) ).
fof(f4347,plain,
( sQ196_spl
| ~ sQ114_spl
| ~ sQ50_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f266,f4346]) ).
fof(f4348,plain,
( sQ196_spl
| ~ sQ114_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4347]) ).
fof(f4349,plain,
( sQ196_spl
| ~ sQ114_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4348]) ).
fof(f4363,plain,
( ~ sQ299_spl
| ~ sQ7_spl
| op1(e11,e13) = e11 ),
inference(backward_demodulation,[status(thm)],[f447,f1527]) ).
fof(f4367,plain,
( ~ sQ299_spl
| ~ sQ7_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4363,f518,f446,f1526]) ).
fof(f4384,plain,
( sQ187_spl
| ~ sQ14_spl
| h3(e12) != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f470,f2784]) ).
fof(f4386,plain,
( sQ187_spl
| ~ sQ14_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f266,f4384]) ).
fof(f4391,plain,
( ~ sQ89_spl
| e21 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f746,f199]) ).
fof(f4396,plain,
( ~ sQ89_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f4391,f758,f745]) ).
fof(f4400,plain,
( ~ sQ190_spl
| ~ sQ26_spl
| h3(e12) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f509,f4078]) ).
fof(f4401,plain,
( ~ sQ190_spl
| ~ sQ26_spl
| e22 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f4400]) ).
fof(f4402,plain,
( sQ187_spl
| ~ sQ14_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f4386,f709,f469,f1097]) ).
fof(f4408,plain,
( ~ sQ187_spl
| ~ sQ14_spl
| h3(e12) = op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f470,f1098]) ).
fof(f4409,plain,
( ~ sQ187_spl
| ~ sQ14_spl
| e22 = op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f266,f4408]) ).
fof(f4410,plain,
( ~ sQ187_spl
| ~ sQ14_spl
| e22 = op2(e20,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1791,f4409]) ).
fof(f4411,plain,
( ~ sQ187_spl
| ~ sQ14_spl
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2431,f4410]) ).
fof(f4419,plain,
( sQ219_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| ~ sQ50_spl
| h4(e12) != e23 ),
inference(forward_demodulation,[status(thm)],[f587,f4252]) ).
fof(f4420,plain,
( sQ219_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| ~ sQ50_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f270,f4419]) ).
fof(f4421,plain,
( sQ219_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4420]) ).
fof(f4422,plain,
( sQ219_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4421]) ).
fof(f4470,plain,
( ~ sQ191_spl
| ~ sQ29_spl
| h3(e11) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f519,f4081]) ).
fof(f4475,plain,
( ~ sQ191_spl
| ~ sQ29_spl
| e21 = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1797,f4470]) ).
fof(f4480,plain,
( sQ220_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ211_spl
| ~ sQ192_spl
| ~ sQ190_spl
| ~ sQ26_spl
| h4(op1(e13,e11)) != e22 ),
inference(forward_demodulation,[status(thm)],[f4401,f4147]) ).
fof(f4490,plain,
( sQ220_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ211_spl
| ~ sQ192_spl
| ~ sQ190_spl
| ~ sQ26_spl
| ~ sQ53_spl
| h4(e11) != e22 ),
inference(backward_demodulation,[status(thm)],[f597,f4480]) ).
fof(f4496,plain,
( sQ220_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ211_spl
| ~ sQ192_spl
| ~ sQ190_spl
| ~ sQ26_spl
| ~ sQ53_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f4490,f1467,f596,f508,f1106,f1112,f1173,f826,f1429,f1200]) ).
fof(f4498,plain,
( sQ175_spl
| ~ sQ59_spl
| h2(e13) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f616,f1999]) ).
fof(f4499,plain,
( sQ175_spl
| ~ sQ59_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f4039,f4498]) ).
fof(f4500,plain,
( sQ175_spl
| ~ sQ59_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f4039,f4499]) ).
fof(f4501,plain,
( sQ175_spl
| ~ sQ59_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ193_spl
| ~ sQ102_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4034,f4500]) ).
fof(f4502,plain,
( sQ175_spl
| ~ sQ59_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ193_spl
| ~ sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4501]) ).
fof(f4503,plain,
( sQ175_spl
| ~ sQ59_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ193_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f4502]) ).
fof(f4504,plain,
( sQ174_spl
| ~ sQ53_spl
| h2(e11) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f597,f1056]) ).
fof(f4505,plain,
( sQ174_spl
| ~ sQ53_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e23 != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4056,f4504]) ).
fof(f4506,plain,
( sQ174_spl
| ~ sQ53_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e23 != op2(e22,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4039,f4505]) ).
fof(f4507,plain,
( sQ174_spl
| ~ sQ53_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e23 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f4056,f4506]) ).
fof(f4508,plain,
( sQ174_spl
| ~ sQ53_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ111_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f817,f4507]) ).
fof(f4509,plain,
( sQ174_spl
| ~ sQ53_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ111_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4508]) ).
fof(f4510,plain,
( sQ174_spl
| ~ sQ53_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f4509]) ).
fof(f4511,plain,
( sQ168_spl
| ~ sQ29_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e23 != op2(h2(e11),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4056,f2753]) ).
fof(f4512,plain,
( sQ168_spl
| ~ sQ29_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e23 != op2(e23,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4056,f4511]) ).
fof(f4513,plain,
( sQ168_spl
| ~ sQ29_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4039,f4512]) ).
fof(f4514,plain,
( sQ168_spl
| ~ sQ29_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ216_spl
| ~ sQ38_spl
| ~ sQ276_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4276,f4513]) ).
fof(f4515,plain,
( sQ168_spl
| ~ sQ29_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ216_spl
| ~ sQ38_spl
| ~ sQ276_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4514]) ).
fof(f4516,plain,
( sQ168_spl
| ~ sQ29_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ216_spl
| ~ sQ38_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f4515]) ).
fof(f4517,plain,
( sQ166_spl
| ~ sQ20_spl
| h2(e10) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f490,f1032]) ).
fof(f4518,plain,
( sQ166_spl
| ~ sQ20_spl
| ~ sQ252_spl
| e20 != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1328,f4517]) ).
fof(f4519,plain,
( sQ166_spl
| ~ sQ20_spl
| ~ sQ252_spl
| ~ sQ171_spl
| ~ sQ40_spl
| e20 != op2(e23,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4056,f4518]) ).
fof(f4520,plain,
( sQ166_spl
| ~ sQ20_spl
| ~ sQ252_spl
| ~ sQ171_spl
| ~ sQ40_spl
| e20 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4056,f4519]) ).
fof(f4521,plain,
( sQ166_spl
| ~ sQ20_spl
| ~ sQ252_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ276_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3950,f4520]) ).
fof(f4522,plain,
( sQ166_spl
| ~ sQ20_spl
| ~ sQ252_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ276_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4521]) ).
fof(f4523,plain,
( sQ166_spl
| ~ sQ20_spl
| ~ sQ252_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f4522]) ).
fof(f4524,plain,
( sQ164_spl
| ~ sQ14_spl
| h2(e12) != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f470,f1026]) ).
fof(f4525,plain,
( sQ164_spl
| ~ sQ14_spl
| e21 != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f262,f4524]) ).
fof(f4526,plain,
( sQ164_spl
| ~ sQ14_spl
| ~ sQ252_spl
| e21 != op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1328,f4525]) ).
fof(f4527,plain,
( sQ164_spl
| ~ sQ14_spl
| ~ sQ252_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ114_spl
| e21 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f4039,f4526]) ).
fof(f4528,plain,
( sQ164_spl
| ~ sQ14_spl
| ~ sQ252_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ114_spl
| ~ sQ186_spl
| ~ sQ9_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4301,f4527]) ).
fof(f4529,plain,
( sQ164_spl
| ~ sQ14_spl
| ~ sQ252_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ114_spl
| ~ sQ186_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4528]) ).
fof(f4530,plain,
( sQ164_spl
| ~ sQ14_spl
| ~ sQ252_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ114_spl
| ~ sQ186_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f4529]) ).
fof(f4531,plain,
( sQ161_spl
| ~ sQ0_spl
| h2(e10) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f425,f1017]) ).
fof(f4532,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ252_spl
| e20 != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1328,f4531]) ).
fof(f4533,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ252_spl
| e20 != op2(e20,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1328,f4532]) ).
fof(f4534,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ252_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1328,f4533]) ).
fof(f4535,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ252_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f665,f4534]) ).
fof(f4536,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ252_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4535]) ).
fof(f4537,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ252_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4536]) ).
fof(f4539,plain,
( sQ153_spl
| ~ sQ243_spl
| ~ sQ240_spl
| h1(op1(e13,e13)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1277,f3559]) ).
fof(f4555,plain,
( sQ152_spl
| ~ sQ59_spl
| ~ sQ243_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f3189,f664,f1288,f615,f984]) ).
fof(f4556,plain,
( sQ151_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ53_spl
| h1(e11) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f597,f3774]) ).
fof(f4557,plain,
( sQ151_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ53_spl
| e20 != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f1281,f4556]) ).
fof(f4558,plain,
( sQ151_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ53_spl
| ~ sQ240_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1277,f4557]) ).
fof(f4559,plain,
( sQ151_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ53_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4558]) ).
fof(f4560,plain,
( sQ151_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ53_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f4559]) ).
fof(f4561,plain,
( sQ150_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ50_spl
| h1(e12) != e20 ),
inference(forward_demodulation,[status(thm)],[f587,f3779]) ).
fof(f4562,plain,
( sQ150_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ50_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f258,f4561]) ).
fof(f4563,plain,
( sQ150_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4562]) ).
fof(f4564,plain,
( sQ150_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4563]) ).
fof(f4565,plain,
( sQ149_spl
| ~ sQ243_spl
| ~ sQ47_spl
| h1(e13) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f577,f3568]) ).
fof(f4566,plain,
( sQ149_spl
| ~ sQ243_spl
| ~ sQ47_spl
| ~ sQ240_spl
| h1(e13) != e20 ),
inference(forward_demodulation,[status(thm)],[f1277,f4565]) ).
fof(f4571,plain,
( sQ147_spl
| ~ sQ241_spl
| ~ sQ38_spl
| h1(e12) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f548,f3784]) ).
fof(f4572,plain,
( sQ147_spl
| ~ sQ241_spl
| ~ sQ38_spl
| e20 != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f258,f4571]) ).
fof(f4573,plain,
( sQ147_spl
| ~ sQ241_spl
| ~ sQ38_spl
| ~ sQ240_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1277,f4572]) ).
fof(f4574,plain,
( sQ147_spl
| ~ sQ241_spl
| ~ sQ38_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4573]) ).
fof(f4575,plain,
( sQ147_spl
| ~ sQ241_spl
| ~ sQ38_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f4574]) ).
fof(f4576,plain,
( sQ145_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ29_spl
| h1(e11) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f519,f3787]) ).
fof(f4577,plain,
( sQ145_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ29_spl
| e20 != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f1281,f4576]) ).
fof(f4578,plain,
( sQ145_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ29_spl
| ~ sQ240_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1277,f4577]) ).
fof(f4579,plain,
( sQ145_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ29_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4578]) ).
fof(f4580,plain,
( sQ145_spl
| ~ sQ243_spl
| ~ sQ241_spl
| ~ sQ29_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f4579]) ).
fof(f4581,plain,
( sQ143_spl
| ~ sQ241_spl
| ~ sQ20_spl
| h1(e10) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f490,f3794]) ).
fof(f4582,plain,
( sQ143_spl
| ~ sQ241_spl
| ~ sQ20_spl
| ~ sQ240_spl
| e20 != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f1277,f4581]) ).
fof(f4583,plain,
( sQ143_spl
| ~ sQ241_spl
| ~ sQ20_spl
| ~ sQ240_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1277,f4582]) ).
fof(f4584,plain,
( sQ143_spl
| ~ sQ241_spl
| ~ sQ20_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4583]) ).
fof(f4585,plain,
( sQ143_spl
| ~ sQ241_spl
| ~ sQ20_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f4584]) ).
fof(f4586,plain,
( sQ141_spl
| ~ sQ243_spl
| ~ sQ14_spl
| h1(e12) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f470,f3570]) ).
fof(f4587,plain,
( sQ141_spl
| ~ sQ243_spl
| ~ sQ14_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f4586]) ).
fof(f4588,plain,
( sQ141_spl
| ~ sQ243_spl
| ~ sQ14_spl
| ~ sQ240_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1277,f4587]) ).
fof(f4589,plain,
( sQ141_spl
| ~ sQ243_spl
| ~ sQ14_spl
| ~ sQ240_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f665,f4588]) ).
fof(f4590,plain,
( sQ141_spl
| ~ sQ243_spl
| ~ sQ14_spl
| ~ sQ240_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4589]) ).
fof(f4591,plain,
( sQ141_spl
| ~ sQ243_spl
| ~ sQ14_spl
| ~ sQ240_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4590]) ).
fof(f4592,plain,
( sQ140_spl
| ~ sQ9_spl
| h1(e11) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f454,f1978]) ).
fof(f4593,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ241_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f1281,f4592]) ).
fof(f4594,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ241_spl
| ~ sQ240_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1277,f4593]) ).
fof(f4595,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f665,f4594]) ).
fof(f4596,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4595]) ).
fof(f4597,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4596]) ).
fof(f4598,plain,
( sQ139_spl
| ~ sQ241_spl
| ~ sQ7_spl
| h1(e13) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f447,f3904]) ).
fof(f4599,plain,
( sQ139_spl
| ~ sQ241_spl
| ~ sQ7_spl
| ~ sQ240_spl
| h1(e13) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1277,f4598]) ).
fof(f4600,plain,
( sQ139_spl
| ~ sQ241_spl
| ~ sQ7_spl
| ~ sQ240_spl
| ~ sQ64_spl
| h1(e13) != e20 ),
inference(forward_demodulation,[status(thm)],[f665,f4599]) ).
fof(f4601,plain,
( sQ138_spl
| ~ sQ0_spl
| h1(e10) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f425,f944]) ).
fof(f4602,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ240_spl
| e20 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1277,f4601]) ).
fof(f4603,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ240_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1277,f4602]) ).
fof(f4604,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ240_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1277,f4603]) ).
fof(f4605,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ240_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f665,f4604]) ).
fof(f4606,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ240_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4605]) ).
fof(f4607,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ240_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4606]) ).
fof(f4608,plain,
( ~ sQ131_spl
| ~ sQ59_spl
| op1(e12,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f616,f916]) ).
fof(f4610,plain,
( sQ181_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4056,f1078]) ).
fof(f4611,plain,
( sQ181_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4610]) ).
fof(f4612,plain,
( sQ181_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f4611]) ).
fof(f4614,plain,
( sQ144_spl
| ~ sQ241_spl
| ~ sQ26_spl
| h1(e12) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f509,f3799]) ).
fof(f4615,plain,
( sQ144_spl
| ~ sQ241_spl
| ~ sQ26_spl
| e20 != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f258,f4614]) ).
fof(f4616,plain,
( sQ144_spl
| ~ sQ241_spl
| ~ sQ26_spl
| ~ sQ240_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1277,f4615]) ).
fof(f4617,plain,
( sQ144_spl
| ~ sQ241_spl
| ~ sQ26_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4616]) ).
fof(f4618,plain,
( sQ144_spl
| ~ sQ241_spl
| ~ sQ26_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f4617]) ).
fof(f4641,plain,
( ~ sQ252_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f1775,f833,f1327]) ).
fof(f4666,plain,
( sQ170_spl
| ~ sQ38_spl
| h2(e12) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f548,f1866]) ).
fof(f4667,plain,
( sQ170_spl
| ~ sQ38_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f262,f4666]) ).
fof(f4668,plain,
( sQ170_spl
| ~ sQ38_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f4056,f4667]) ).
fof(f4669,plain,
( sQ170_spl
| ~ sQ38_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ191_spl
| ~ sQ29_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4475,f4668]) ).
fof(f4670,plain,
( sQ170_spl
| ~ sQ38_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ191_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4669]) ).
fof(f4671,plain,
( sQ170_spl
| ~ sQ38_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ191_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f4670]) ).
fof(f4672,plain,
( sQ165_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f4039,f1874]) ).
fof(f4673,plain,
( sQ165_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f4056,f4672]) ).
fof(f4674,plain,
( sQ165_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1328,f4673]) ).
fof(f4675,plain,
( sQ165_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f827,f4674]) ).
fof(f4676,plain,
( sQ165_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4675]) ).
fof(f4677,plain,
( sQ165_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f4676]) ).
fof(f4678,plain,
( sQ173_spl
| ~ sQ50_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e21 != op2(e22,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f4039,f2715]) ).
fof(f4679,plain,
( sQ173_spl
| ~ sQ50_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1328,f4678]) ).
fof(f4680,plain,
( sQ173_spl
| ~ sQ50_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ192_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2215,f4679]) ).
fof(f4681,plain,
( sQ173_spl
| ~ sQ50_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ192_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4680]) ).
fof(f4682,plain,
( sQ173_spl
| ~ sQ50_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ192_spl ),
inference(contradiction_clause,[status(thm)],[f4681]) ).
fof(f4762,plain,
( sQ176_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ60_spl
| h2(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f620,f4259]) ).
fof(f4764,plain,
( sQ176_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ114_spl
| ~ sQ60_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f4762,f1327,f619,f826,f554,f1045,f1060]) ).
fof(f4765,plain,
( sQ153_spl
| ~ sQ243_spl
| ~ sQ240_spl
| ~ sQ60_spl
| h1(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f620,f4539]) ).
fof(f4766,plain,
( sQ153_spl
| ~ sQ243_spl
| ~ sQ240_spl
| ~ sQ60_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1277,f4765]) ).
fof(f4767,plain,
( sQ153_spl
| ~ sQ243_spl
| ~ sQ240_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4766]) ).
fof(f4768,plain,
( sQ153_spl
| ~ sQ243_spl
| ~ sQ240_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f4767]) ).
fof(f4769,plain,
( sQ149_spl
| ~ sQ47_spl
| ~ sQ240_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f4566,f1288,f1276,f576,f975]) ).
fof(f4777,plain,
( sQ139_spl
| ~ sQ241_spl
| ~ sQ7_spl
| ~ sQ240_spl
| ~ sQ64_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f4600,f1288,f664,f1276,f446,f1280,f945]) ).
fof(f4778,plain,
( ~ sQ131_spl
| ~ sQ59_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f4608,f573,f615,f915]) ).
fof(f4784,plain,
( sQ162_spl
| ~ sQ7_spl
| h2(e13) != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f447,f1020]) ).
fof(f4785,plain,
( sQ162_spl
| ~ sQ7_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4039,f4784]) ).
fof(f4786,plain,
( sQ162_spl
| ~ sQ7_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(e20,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1328,f4785]) ).
fof(f4787,plain,
( sQ162_spl
| ~ sQ7_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4056,f4786]) ).
fof(f4788,plain,
( sQ162_spl
| ~ sQ7_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ187_spl
| ~ sQ14_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4411,f4787]) ).
fof(f4789,plain,
( sQ162_spl
| ~ sQ7_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ187_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4788]) ).
fof(f4790,plain,
( sQ162_spl
| ~ sQ7_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ187_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f4789]) ).
fof(f4803,plain,
( sQ163_spl
| ~ sQ9_spl
| h2(e11) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f454,f1883]) ).
fof(f4804,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e23 != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f4056,f4803]) ).
fof(f4805,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e23 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1328,f4804]) ).
fof(f4806,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ71_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f687,f4805]) ).
fof(f4807,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4806]) ).
fof(f4808,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4807]) ).
fof(f4815,plain,
( sQ172_spl
| ~ sQ47_spl
| h2(e13) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f577,f1856]) ).
fof(f4816,plain,
( sQ172_spl
| ~ sQ47_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4039,f4815]) ).
fof(f4817,plain,
( sQ172_spl
| ~ sQ47_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f4039,f4816]) ).
fof(f4818,plain,
( sQ172_spl
| ~ sQ47_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ190_spl
| ~ sQ26_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4401,f4817]) ).
fof(f4819,plain,
( sQ172_spl
| ~ sQ47_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ190_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4818]) ).
fof(f4820,plain,
( sQ172_spl
| ~ sQ47_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ114_spl
| ~ sQ190_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f4819]) ).
fof(f4828,plain,
( sQ167_spl
| ~ sQ26_spl
| h2(e12) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f509,f1872]) ).
fof(f4829,plain,
( sQ167_spl
| ~ sQ26_spl
| e21 != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f262,f4828]) ).
fof(f4830,plain,
( sQ167_spl
| ~ sQ26_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e21 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f4056,f4829]) ).
fof(f4862,plain,
( sQ222_spl
| ~ sQ60_spl
| h4(e10) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f620,f1208]) ).
fof(f4863,plain,
( sQ222_spl
| ~ sQ60_spl
| ~ sQ276_spl
| e20 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1430,f4862]) ).
fof(f4864,plain,
( sQ222_spl
| ~ sQ60_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| e20 != op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f4115,f4863]) ).
fof(f4865,plain,
( sQ222_spl
| ~ sQ60_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4115,f4864]) ).
fof(f4866,plain,
( sQ222_spl
| ~ sQ60_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| ~ sQ252_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1778,f4865]) ).
fof(f4867,plain,
( sQ222_spl
| ~ sQ60_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| ~ sQ252_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4866]) ).
fof(f4868,plain,
( sQ222_spl
| ~ sQ60_spl
| ~ sQ276_spl
| ~ sQ211_spl
| ~ sQ114_spl
| ~ sQ192_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f4867]) ).
fof(f4911,plain,
( sQ167_spl
| ~ sQ26_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4289,f4830]) ).
fof(f4912,plain,
( sQ167_spl
| ~ sQ26_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4911]) ).
fof(f4913,plain,
( sQ167_spl
| ~ sQ26_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ218_spl
| ~ sQ47_spl
| ~ sQ211_spl
| ~ sQ276_spl
| ~ sQ114_spl
| ~ sQ192_spl ),
inference(contradiction_clause,[status(thm)],[f4912]) ).
fof(f4914,plain,
( sQ169_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e23 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f4056,f1870]) ).
fof(f4915,plain,
( sQ169_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e23 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1328,f4914]) ).
fof(f4916,plain,
( sQ169_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1720,f4915]) ).
fof(f4917,plain,
( sQ169_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4916]) ).
fof(f4918,plain,
( sQ169_spl
| ~ sQ171_spl
| ~ sQ40_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f4917]) ).
fof(f4919,plain,
$false,
inference(sat_refutation,[status(thm)],[f436,f462,f475,f514,f527,f540,f566,f592,f618,f631,f632,f634,f637,f639,f640,f641,f642,f643,f647,f652,f654,f655,f656,f657,f658,f659,f662,f689,f702,f741,f754,f767,f780,f832,f858,f872,f876,f877,f880,f882,f884,f886,f887,f889,f892,f894,f896,f898,f903,f910,f914,f922,f929,f1079,f1240,f1248,f1269,f1287,f1330,f1355,f1376,f1381,f1402,f1423,f1432,f1461,f1470,f1486,f1490,f1498,f1507,f1511,f1525,f1529,f1533,f1537,f1542,f1546,f1550,f1554,f1558,f1583,f1598,f1615,f1619,f1627,f1634,f1639,f1650,f1657,f1679,f1725,f1737,f1783,f1790,f1795,f1844,f1886,f1894,f1913,f1931,f1932,f1947,f1954,f1957,f1995,f1998,f2041,f2055,f2072,f2079,f2088,f2095,f2106,f2110,f2119,f2122,f2126,f2151,f2205,f2208,f2218,f2223,f2239,f2242,f2248,f2254,f2269,f2273,f2279,f2282,f2285,f2315,f2318,f2321,f2324,f2351,f2357,f2382,f2389,f2392,f2400,f2402,f2419,f2421,f2423,f2433,f2462,f2474,f2476,f2483,f2507,f2521,f2523,f2525,f2540,f2544,f2584,f2601,f2622,f2629,f2631,f2634,f2642,f2649,f2658,f2668,f2675,f2686,f2691,f2693,f2695,f2708,f2714,f2716,f2717,f2719,f2720,f2745,f2748,f2752,f2777,f2871,f2885,f2889,f2890,f2902,f2931,f2932,f2966,f2969,f2971,f2973,f2984,f3002,f3036,f3047,f3071,f3097,f3121,f3130,f3131,f3133,f3134,f3137,f3139,f3148,f3150,f3152,f3175,f3205,f3214,f3219,f3281,f3305,f3319,f3324,f3369,f3372,f3376,f3386,f3398,f3410,f3411,f3414,f3450,f3457,f3497,f3502,f3576,f3578,f3586,f3590,f3593,f3598,f3605,f3608,f3609,f3610,f3613,f3614,f3616,f3671,f3719,f3741,f3751,f3760,f3807,f3868,f3877,f3882,f3883,f3885,f3908,f3917,f3957,f4001,f4009,f4011,f4014,f4024,f4041,f4072,f4073,f4075,f4117,f4222,f4223,f4224,f4243,f4266,f4272,f4282,f4285,f4349,f4367,f4396,f4402,f4422,f4496,f4503,f4510,f4516,f4523,f4530,f4537,f4555,f4560,f4564,f4575,f4580,f4585,f4591,f4597,f4607,f4612,f4618,f4641,f4671,f4677,f4682,f4764,f4768,f4769,f4777,f4778,f4790,f4808,f4820,f4868,f4913,f4918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG107+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:00:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 1.50/0.86 % Refutation found
% 1.50/0.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.50/0.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.61/0.91 % Elapsed time: 0.536294 seconds
% 0.61/0.91 % CPU time: 3.688339 seconds
% 0.61/0.91 % Total memory used: 156.861 MB
% 0.61/0.91 % Net memory used: 156.089 MB
%------------------------------------------------------------------------------