%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG117+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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:16 AM UTC 2026
% Result : Theorem 0.13s 0.52s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 259
% Syntax : Number of formulae : 1423 ( 138 unt; 242 def)
% Number of atoms : 4911 (2417 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5823 (2335 ~;2584 |; 654 &)
% ( 250 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 244 ( 242 usr; 243 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,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13 ) )
& ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12 ) )
& ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11 ) )
& ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23 ) )
& ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22 ) )
& ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21 ) )
& ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e12 = op1(e13,e13)
& e11 = op1(op1(e13,e13),e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e22 = op2(e23,e23)
& e21 = op2(op2(e23,e23),e23)
& e20 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = op2(e20,e20)
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = op2(e21,e21)
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = op2(e22,e22)
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = op2(e23,e23)
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e13) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(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(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(f32,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f46,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
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(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f67,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(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(f77,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = 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(f111,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = 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(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
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(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op1(e10,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(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
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(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,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(f184,plain,
op2(e20,e23) != op2(e23,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(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
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(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,definition,
( sP1_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f242,definition,
( sP2_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f243,definition,
( sP3_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f244,plain,
( ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP3_prd )
& ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| sP2_prd )
& ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| sP1_prd )
& ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f10,f243,f242,f241,f240]) ).
fof(f245,plain,
( op1(e13,e13) = e10
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f247,plain,
( op1(e13,e13) = e11
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f250,plain,
( op1(e13,e12) != e13
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f251,plain,
( op1(e13,e13) = e13
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f253,definition,
( sP4_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f254,definition,
( sP5_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f255,definition,
( sP6_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f256,definition,
( sP7_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f257,plain,
( ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP7_prd )
& ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| sP6_prd )
& ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| sP5_prd )
& ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| sP4_prd ) ),
inference(formula_renaming,[status(thm)],[f11,f256,f255,f254,f253]) ).
fof(f258,plain,
( op2(e23,e23) = e20
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f260,plain,
( op2(e23,e23) = e21
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f264,plain,
( op2(e23,e23) = e23
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f266,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f267,plain,
e11 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f268,plain,
e12 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f269,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f270,plain,
e21 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f271,plain,
e22 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f272,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f275,plain,
h1(e12) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f276,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f277,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f278,plain,
h2(e11) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f279,plain,
h2(e12) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f280,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f281,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f282,plain,
h3(e11) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f283,plain,
h3(e12) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f284,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f285,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f286,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f287,plain,
h4(e12) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f288,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(f289,definition,
( sP8_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f290,definition,
( sP9_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f291,definition,
( sP10_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f292,definition,
( sP11_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f293,definition,
( sP12_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f294,definition,
( sP13_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f295,definition,
( sP14_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f296,definition,
( sP15_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f297,definition,
( sP16_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f298,definition,
( sP17_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f299,definition,
( sP18_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f300,definition,
( sP19_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f301,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP19_prd
| sP18_prd
| sP17_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 )
| sP16_prd
| sP15_prd
| sP14_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 )
| sP13_prd
| sP12_prd
| sP11_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 )
| sP10_prd
| sP9_prd
| sP8_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)],[f288,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289]) ).
fof(f307,plain,
( h2(e11) != e23
| sP13_prd
| sP12_prd
| sP11_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)],[f301]) ).
fof(f318,definition,
( sP20_prd
<=> ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f319,plain,
( sP0_prd
<=> ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f318]) ).
fof(f320,plain,
( ( ( ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ~ sP20_prd )
| sP0_prd )
& ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| sP20_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f319]) ).
fof(f321,plain,
( op1(e12,e12) = e10
| sP20_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f322,plain,
( op1(e12,e10) != e12
| sP20_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f325,definition,
( sP21_prd
<=> ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f326,plain,
( sP1_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f241,f325]) ).
fof(f327,plain,
( ( ( ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ~ sP21_prd )
| sP1_prd )
& ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| sP21_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( op1(e12,e12) = e11
| sP21_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f329,plain,
( op1(e12,e11) != e12
| sP21_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f332,definition,
( sP22_prd
<=> ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f333,plain,
( sP2_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f242,f332]) ).
fof(f334,plain,
( ( ( ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ~ sP22_prd )
| sP2_prd )
& ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP22_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f333]) ).
fof(f335,plain,
( op1(e12,e12) = e12
| sP22_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f336,plain,
( op1(e12,e12) != e12
| sP22_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f337,plain,
( ~ sP22_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f339,definition,
( sP23_prd
<=> ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f340,plain,
( sP3_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f243,f339]) ).
fof(f341,plain,
( ( ( ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ~ sP23_prd )
| sP3_prd )
& ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13 )
| sP23_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f340]) ).
fof(f342,plain,
( op1(e12,e12) = e13
| sP23_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f346,definition,
( sP24_prd
<=> ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f347,plain,
( sP4_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f253,f346]) ).
fof(f348,plain,
( ( ( ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ~ sP24_prd )
| sP4_prd )
& ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| sP24_prd
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( op2(e22,e22) = e20
| sP24_prd
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f353,definition,
( sP25_prd
<=> ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f354,plain,
( sP5_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f254,f353]) ).
fof(f355,plain,
( ( ( ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ~ sP25_prd )
| sP5_prd )
& ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| sP25_prd
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f354]) ).
fof(f357,plain,
( op2(e22,e21) != e22
| sP25_prd
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f360,definition,
( sP26_prd
<=> ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f361,plain,
( sP6_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f255,f360]) ).
fof(f362,plain,
( ( ( ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ~ sP26_prd )
| sP6_prd )
& ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP26_prd
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f361]) ).
fof(f363,plain,
( op2(e22,e22) = e22
| sP26_prd
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f367,definition,
( sP27_prd
<=> ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f368,plain,
( sP7_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f256,f367]) ).
fof(f369,plain,
( ( ( ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ~ sP27_prd )
| sP7_prd )
& ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23 )
| sP27_prd
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f368]) ).
fof(f370,plain,
( op2(e22,e22) = e23
| sP27_prd
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f392,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP11_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f395,plain,
( h2(e12) != e20
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP12_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f402,plain,
( h2(e13) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f404,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP13_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f294]) ).
fof(f405,plain,
( h2(e10) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f406,plain,
( h2(e11) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f407,plain,
( h2(e12) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f409,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f416,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP15_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f417,plain,
( h3(e10) != e21
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP16_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f297]) ).
fof(f426,plain,
( h3(e13) != e22
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f428,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP17_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f298]) ).
fof(f429,plain,
( h4(e10) != e20
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP18_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f299]) ).
fof(f436,plain,
( h4(e11) != e21
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f440,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP19_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f300]) ).
fof(f443,plain,
( h4(e12) != e22
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f446,plain,
( ( ( ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) )
| sP20_prd )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f318]) ).
fof(f447,plain,
( op1(e11,e11) = e10
| op1(e10,e10) = e10
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f448,plain,
( op1(e11,e10) != e11
| op1(e10,e10) = e10
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f449,plain,
( op1(e11,e11) = e10
| op1(e10,e10) != e10
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f450,plain,
( op1(e11,e10) != e11
| op1(e10,e10) != e10
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f453,plain,
( ( ( ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) )
| sP21_prd )
& ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f325]) ).
fof(f454,plain,
( op1(e11,e11) = e11
| op1(e10,e10) = e11
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f455,plain,
( op1(e11,e11) != e11
| op1(e10,e10) = e11
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f456,plain,
( op1(e11,e11) = e11
| op1(e10,e11) != e10
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f457,plain,
( op1(e11,e11) != e11
| op1(e10,e11) != e10
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f460,plain,
( ( ( ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) )
| sP22_prd )
& ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f332]) ).
fof(f461,plain,
( op1(e11,e11) = e12
| op1(e10,e10) = e12
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f462,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f465,plain,
( op1(e10,e12) = e10
| op1(e10,e10) != e12
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f467,plain,
( ( ( ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 ) )
| sP23_prd )
& ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f339]) ).
fof(f468,plain,
( op1(e11,e11) = e13
| op1(e10,e10) = e13
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f470,plain,
( op1(e11,e11) = e13
| op1(e10,e13) != e10
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f471,plain,
( op1(e11,e13) != e11
| op1(e10,e13) != e10
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f473,plain,
( op1(e11,e13) = e11
| op1(e11,e11) != e13
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f474,plain,
( ( ( ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) )
| sP24_prd )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f346]) ).
fof(f475,plain,
( op2(e21,e21) = e20
| op2(e20,e20) = e20
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f477,plain,
( op2(e21,e21) = e20
| op2(e20,e20) != e20
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f481,plain,
( ( ( ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) )
| sP25_prd )
& ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f353]) ).
fof(f482,plain,
( op2(e21,e21) = e21
| op2(e20,e20) = e21
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f481]) ).
fof(f483,plain,
( op2(e21,e21) != e21
| op2(e20,e20) = e21
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f481]) ).
fof(f488,plain,
( ( ( ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) )
| sP26_prd )
& ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f360]) ).
fof(f490,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f495,plain,
( ( ( ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 ) )
| sP27_prd )
& ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f367]) ).
fof(f496,plain,
( op2(e21,e21) = e23
| op2(e20,e20) = e23
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f498,plain,
( op2(e21,e21) = e23
| op2(e20,e23) != e20
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f502,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f515,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f518,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f528,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f22,f528,f531,f534,f537]) ).
fof(f541,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f554,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f567,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f580,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f593,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f599,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f27,f593,f596,f599,f602]) ).
fof(f606,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f619,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f632,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f645,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f650,plain,
( sQ45_spl
| op1(e12,e13) != e11 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f658,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f664,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f658,f661,f664,f667]) ).
fof(f671,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f684,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f684,f687,f690,f693]) ).
fof(f697,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f706,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f697,f700,f703,f706]) ).
fof(f710,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f502,f515,f528,f541]) ).
fof(f711,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f502,f554,f606,f658]) ).
fof(f714,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f508,f521,f534,f547]) ).
fof(f715,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f508,f560,f612,f664]) ).
fof(f716,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f42,f511,f524,f537,f550]) ).
fof(f718,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f44,f554,f567,f580,f593]) ).
fof(f720,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f557,f570,f583,f596]) ).
fof(f722,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f560,f573,f586,f599]) ).
fof(f724,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f563,f576,f589,f602]) ).
fof(f725,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f524,f576,f628,f680]) ).
fof(f726,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f606,f619,f632,f645]) ).
fof(f727,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f528,f580,f632,f684]) ).
fof(f729,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f531,f583,f635,f687]) ).
fof(f730,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f612,f625,f638,f651]) ).
fof(f731,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f534,f586,f638,f690]) ).
fof(f732,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f615,f628,f641,f654]) ).
fof(f733,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f537,f589,f641,f693]) ).
fof(f734,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f658,f671,f684,f697]) ).
fof(f735,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f541,f593,f645,f697]) ).
fof(f736,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f661,f674,f687,f700]) ).
fof(f741,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f550,f602,f654,f706]) ).
fof(f742,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f755,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f758,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f768,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f781,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f781,f784,f787,f790]) ).
fof(f797,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f807,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f820,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f829,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f833,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f833,f836,f839,f842]) ).
fof(f846,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f859,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f77,f859,f862,f865,f868]) ).
fof(f872,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f875,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f878,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f885,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f898,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f914,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f918,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f924,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f926,plain,
( sQ120_spl
| op2(e23,e22) != e20 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f937,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f946,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f83,f937,f940,f943,f946]) ).
fof(f950,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f742,f755,f768,f781]) ).
fof(f953,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f745,f797,f849,f901]) ).
fof(f954,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f748,f761,f774,f787]) ).
fof(f955,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f748,f800,f852,f904]) ).
fof(f961,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f758,f810,f862,f914]) ).
fof(f965,plain,
( sQ119_spl
| sQ103_spl
| sQ87_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f99,f764,f816,f868,f920]) ).
fof(f966,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f846,f859,f872,f885]) ).
fof(f969,plain,
( sQ121_spl
| sQ105_spl
| sQ89_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f103,f771,f823,f875,f927]) ).
fof(f971,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f774,f826,f878,f930]) ).
fof(f972,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f855,f868,f881,f894]) ).
fof(f977,plain,
( sQ125_spl
| sQ109_spl
| sQ93_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f111,f784,f836,f888,f940]) ).
fof(f980,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f907,f920,f933,f946]) ).
fof(f982,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( sQ60_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f245,f982,f697]) ).
fof(f987,definition,
( sQ129_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( sQ61_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f247,f987,f700]) ).
fof(f992,definition,
( sQ130_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( ~ sQ59_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f250,f992,f693]) ).
fof(f997,definition,
( sQ131_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( sQ63_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f251,f997,f706]) ).
fof(f1002,definition,
( sQ132_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( sQ124_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f258,f1002,f937]) ).
fof(f1007,definition,
( sQ133_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( sQ125_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f260,f1007,f940]) ).
fof(f1012,definition,
( sQ134_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1017,definition,
( sQ135_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
( sQ127_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f264,f1017,f946]) ).
fof(f1095,definition,
( sQ159_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( sQ159_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
( sQ160_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( sQ160_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,definition,
( sQ161_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( sQ161_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,definition,
( sQ162_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( sQ162_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1107,definition,
( sQ163_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( sQ163_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1107]) ).
fof(f1110,definition,
( sQ164_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( sQ164_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,definition,
( sQ165_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( sQ165_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,definition,
( sQ166_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( sQ166_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1119,definition,
( sQ167_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( sQ167_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,definition,
( sQ168_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1124,plain,
( sQ168_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1125,definition,
( sQ169_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( sQ169_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1125]) ).
fof(f1128,definition,
( sQ170_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( sQ170_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1131,definition,
( sQ171_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( sQ171_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1134,definition,
( sQ172_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( sQ172_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,definition,
( sQ173_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( ~ sQ173_spl
| h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1139,plain,
( sQ173_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,definition,
( sQ174_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1142,plain,
( sQ174_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1143,definition,
( sQ175_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1146,definition,
( sQ176_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1149,definition,
( sQ177_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1156,definition,
( sQ179_spl
<=> h2(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1157,plain,
( ~ sQ179_spl
| h2(e11) = e23 ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1158,plain,
( sQ179_spl
| h2(e11) != e23 ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1159,plain,
( ~ sQ179_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
| ~ sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f307,f1095,f1098,f1101,f1104,f1107,f1110,f1113,f1116,f1119,f1122,f1125,f1128,f1131,f1134,f1137,f1140,f1143,f1146,f1149,f1156]) ).
fof(f1177,definition,
( sQ185_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
( sQ185_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1177]) ).
fof(f1198,definition,
( sQ192_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1200,plain,
( sQ192_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1204,definition,
( sQ194_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( sQ194_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1210,definition,
( sQ196_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
( ~ sQ196_spl
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1212,plain,
( sQ196_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1213,definition,
( sQ197_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( ~ sQ197_spl
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( sQ197_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1219,definition,
( sQ199_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1222,definition,
( sQ200_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1233,definition,
( sQ203_spl
<=> h3(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1235,plain,
( sQ203_spl
| h3(e12) != e23 ),
inference(component_clause,[status(thm)],[f1233]) ).
fof(f1247,definition,
( sQ207_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1248,plain,
( ~ sQ207_spl
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1247]) ).
fof(f1249,plain,
( sQ207_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1247]) ).
fof(f1259,definition,
( sQ211_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
( ~ sQ211_spl
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1261,plain,
( sQ211_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,definition,
( sQ212_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ212_spl
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1264,plain,
( sQ212_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,definition,
( sQ213_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( sQ213_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,definition,
( sQ214_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( sQ214_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,definition,
( sQ215_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( sQ215_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,definition,
( sQ216_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( sQ216_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1283,definition,
( sQ219_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
( sQ219_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1283]) ).
fof(f1286,definition,
( sQ220_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1288,plain,
( sQ220_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1289,definition,
( sQ221_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1292,definition,
( sQ222_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1295,definition,
( sQ223_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1310,definition,
( sQ227_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( ~ sQ227_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1312,plain,
( sQ227_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1314,definition,
( sQ228_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
( sQ40_spl
| sQ228_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f321,f982,f1314,f632]) ).
fof(f1318,plain,
( ~ sQ34_spl
| sQ228_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f322,f982,f1314,f612]) ).
fof(f1321,definition,
( sQ229_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1324,plain,
( sQ41_spl
| sQ229_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f328,f987,f1321,f635]) ).
fof(f1325,plain,
( ~ sQ38_spl
| sQ229_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f329,f987,f1321,f625]) ).
fof(f1328,definition,
( sQ230_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( sQ42_spl
| sQ230_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f335,f992,f1328,f638]) ).
fof(f1332,plain,
( ~ sQ42_spl
| sQ230_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f336,f992,f1328,f638]) ).
fof(f1333,plain,
( ~ sQ230_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f337,f992,f1328]) ).
fof(f1335,definition,
( sQ231_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1338,plain,
( sQ43_spl
| sQ231_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f342,f997,f1335,f641]) ).
fof(f1342,definition,
( sQ232_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( sQ104_spl
| sQ232_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f349,f1002,f1342,f872]) ).
fof(f1349,definition,
( sQ233_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
( ~ sQ102_spl
| sQ233_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f357,f1007,f1349,f865]) ).
fof(f1356,definition,
( sQ234_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
( sQ106_spl
| sQ234_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f363,f1012,f1356,f878]) ).
fof(f1363,definition,
( sQ235_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1366,plain,
( sQ107_spl
| sQ235_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f370,f1017,f1363,f881]) ).
fof(f1395,definition,
( sQ242_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1396,plain,
( ~ sQ242_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1397,plain,
( sQ242_spl
| h1(e12) != e21 ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1399,definition,
( sQ243_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1400,plain,
( ~ sQ243_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1412,definition,
( sQ246_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1413,plain,
( ~ sQ246_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1414,plain,
( sQ246_spl
| h1(e12) != e22 ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1416,definition,
( sQ247_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1417,plain,
( ~ sQ247_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1421,definition,
( sQ248_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( ~ sQ248_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1425,definition,
( sQ249_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1426,plain,
( ~ sQ249_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1425]) ).
fof(f1429,definition,
( sQ250_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( ~ sQ250_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1431,plain,
( sQ250_spl
| h2(e12) != e20 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( ~ sQ250_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f395,f1143,f1429]) ).
fof(f1433,definition,
( sQ251_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( ~ sQ251_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1438,definition,
( sQ252_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1439,plain,
( ~ sQ252_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f1438]) ).
fof(f1442,definition,
( sQ253_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
( ~ sQ253_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1442]) ).
fof(f1446,definition,
( sQ254_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( ~ sQ254_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1450,definition,
( sQ255_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1452,plain,
( sQ255_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,plain,
( ~ sQ255_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f402,f1146,f1450]) ).
fof(f1455,definition,
( sQ256_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1456,plain,
( ~ sQ256_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1455]) ).
fof(f1457,plain,
( sQ256_spl
| h2(e10) != e22 ),
inference(component_clause,[status(thm)],[f1455]) ).
fof(f1458,plain,
( ~ sQ256_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f405,f1149,f1455]) ).
fof(f1459,definition,
( sQ257_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1460,plain,
( ~ sQ257_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f1459]) ).
fof(f1462,plain,
( ~ sQ257_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f406,f1149,f1459]) ).
fof(f1463,definition,
( sQ258_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ258_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1465,plain,
( sQ258_spl
| h2(e12) != e22 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,plain,
( ~ sQ258_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f407,f1149,f1463]) ).
fof(f1467,definition,
( sQ259_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( ~ sQ259_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1471,plain,
( sQ259_spl
| sQ258_spl
| sQ257_spl
| sQ256_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f409,f1149,f1455,f1459,f1463,f1467]) ).
fof(f1472,definition,
( sQ260_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
( ~ sQ260_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1484,definition,
( sQ263_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1485,plain,
( ~ sQ263_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1489,definition,
( sQ264_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1490,plain,
( ~ sQ264_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f1489]) ).
fof(f1491,plain,
( sQ264_spl
| h3(e10) != e21 ),
inference(component_clause,[status(thm)],[f1489]) ).
fof(f1492,plain,
( ~ sQ264_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f417,f1219,f1489]) ).
fof(f1493,definition,
( sQ265_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
( ~ sQ265_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1501,definition,
( sQ267_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1502,plain,
( ~ sQ267_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1501]) ).
fof(f1506,definition,
( sQ268_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1507,plain,
( ~ sQ268_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f1506]) ).
fof(f1518,definition,
( sQ271_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1520,plain,
( sQ271_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f1518]) ).
fof(f1521,plain,
( ~ sQ271_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f426,f1222,f1518]) ).
fof(f1523,definition,
( sQ272_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1524,plain,
( ~ sQ272_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f1523]) ).
fof(f1525,plain,
( sQ272_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f1523]) ).
fof(f1526,plain,
( ~ sQ272_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f429,f1289,f1523]) ).
fof(f1527,definition,
( sQ273_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1528,plain,
( ~ sQ273_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f1527]) ).
fof(f1531,definition,
( sQ274_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1532,plain,
( ~ sQ274_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1531]) ).
fof(f1535,definition,
( sQ275_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1536,plain,
( ~ sQ275_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f1535]) ).
fof(f1544,definition,
( sQ277_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1545,plain,
( ~ sQ277_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f1544]) ).
fof(f1546,plain,
( sQ277_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f1544]) ).
fof(f1547,plain,
( ~ sQ277_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f436,f1292,f1544]) ).
fof(f1548,definition,
( sQ278_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1549,plain,
( ~ sQ278_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1557,definition,
( sQ280_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1558,plain,
( ~ sQ280_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1561,definition,
( sQ281_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1562,plain,
( ~ sQ281_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f1561]) ).
fof(f1565,definition,
( sQ282_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
( ~ sQ282_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f1565]) ).
fof(f1567,plain,
( sQ282_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f1565]) ).
fof(f1568,plain,
( ~ sQ282_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f443,f1295,f1565]) ).
fof(f1574,plain,
( sQ20_spl
| sQ0_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f447,f1314,f502,f567]) ).
fof(f1575,plain,
( ~ sQ17_spl
| sQ0_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f448,f1314,f502,f557]) ).
fof(f1576,plain,
( sQ20_spl
| ~ sQ0_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f449,f1314,f502,f567]) ).
fof(f1577,plain,
( ~ sQ17_spl
| ~ sQ0_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f450,f1314,f502,f557]) ).
fof(f1580,plain,
( sQ21_spl
| sQ1_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f454,f1321,f505,f570]) ).
fof(f1581,plain,
( ~ sQ21_spl
| sQ1_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f455,f1321,f505,f570]) ).
fof(f1582,plain,
( sQ21_spl
| ~ sQ4_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f456,f1321,f515,f570]) ).
fof(f1583,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f457,f1321,f515,f570]) ).
fof(f1586,plain,
( sQ22_spl
| sQ2_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f461,f1328,f508,f573]) ).
fof(f1587,plain,
( ~ sQ25_spl
| sQ2_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f462,f1328,f508,f583]) ).
fof(f1590,plain,
( sQ8_spl
| ~ sQ2_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f465,f1328,f508,f528]) ).
fof(f1592,plain,
( sQ23_spl
| sQ3_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f468,f1335,f511,f576]) ).
fof(f1594,plain,
( sQ23_spl
| ~ sQ12_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f470,f1335,f541,f576]) ).
fof(f1595,plain,
( ~ sQ29_spl
| ~ sQ12_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f471,f1335,f541,f596]) ).
fof(f1597,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f473,f1335,f576,f596]) ).
fof(f1598,plain,
( sQ84_spl
| sQ64_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f475,f1342,f742,f807]) ).
fof(f1600,plain,
( sQ84_spl
| ~ sQ64_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f477,f1342,f742,f807]) ).
fof(f1604,plain,
( sQ85_spl
| sQ65_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f482,f1349,f745,f810]) ).
fof(f1605,plain,
( ~ sQ85_spl
| sQ65_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f483,f1349,f745,f810]) ).
fof(f1611,plain,
( ~ sQ89_spl
| sQ66_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f490,f1356,f748,f823]) ).
fof(f1616,plain,
( sQ87_spl
| sQ67_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f496,f1363,f751,f816]) ).
fof(f1618,plain,
( sQ87_spl
| ~ sQ76_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f498,f1363,f781,f816]) ).
fof(f1623,plain,
( sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f1312]) ).
fof(f1624,plain,
sQ227_spl,
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1639,plain,
( sQ216_spl
| ~ sQ282_spl
| h4(op1(e12,e13)) != op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1566,f1276]) ).
fof(f1643,plain,
( ~ sQ278_spl
| ~ sQ282_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1566,f1549]) ).
fof(f1644,plain,
( ~ sQ278_spl
| ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1643,f221]) ).
fof(f1645,plain,
( ~ sQ278_spl
| ~ sQ282_spl ),
inference(contradiction_clause,[status(thm)],[f1644]) ).
fof(f1646,plain,
( ~ sQ277_spl
| ~ sQ281_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1562,f1545]) ).
fof(f1647,plain,
( ~ sQ277_spl
| ~ sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1646,f221]) ).
fof(f1648,plain,
( ~ sQ277_spl
| ~ sQ281_spl ),
inference(contradiction_clause,[status(thm)],[f1647]) ).
fof(f1656,plain,
( ~ sQ267_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f280,f1502]) ).
fof(f1657,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1656,f221]) ).
fof(f1658,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f1657]) ).
fof(f1668,plain,
( ~ sQ264_spl
| ~ sQ268_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1507,f1490]) ).
fof(f1669,plain,
( ~ sQ264_spl
| ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1668,f221]) ).
fof(f1670,plain,
( ~ sQ264_spl
| ~ sQ268_spl ),
inference(contradiction_clause,[status(thm)],[f1669]) ).
fof(f1671,plain,
( ~ sQ263_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f280,f1485]) ).
fof(f1672,plain,
( ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1671,f219]) ).
fof(f1673,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f1672]) ).
fof(f1675,plain,
( ~ sQ259_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f276,f1468]) ).
fof(f1676,plain,
( ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1675,f221]) ).
fof(f1677,plain,
~ sQ259_spl,
inference(contradiction_clause,[status(thm)],[f1676]) ).
fof(f1682,plain,
( ~ sQ254_spl
| ~ sQ258_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1464,f1447]) ).
fof(f1683,plain,
( ~ sQ254_spl
| ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1682,f221]) ).
fof(f1684,plain,
( ~ sQ254_spl
| ~ sQ258_spl ),
inference(contradiction_clause,[status(thm)],[f1683]) ).
fof(f1685,plain,
( ~ sQ253_spl
| ~ sQ257_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1460,f1443]) ).
fof(f1686,plain,
( ~ sQ253_spl
| ~ sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1685,f221]) ).
fof(f1687,plain,
( ~ sQ253_spl
| ~ sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f1686]) ).
fof(f1688,plain,
( ~ sQ252_spl
| ~ sQ256_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1456,f1439]) ).
fof(f1689,plain,
( ~ sQ252_spl
| ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1688,f221]) ).
fof(f1690,plain,
( ~ sQ252_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f1689]) ).
fof(f1691,plain,
( ~ sQ251_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f276,f1434]) ).
fof(f1692,plain,
( ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1691,f218]) ).
fof(f1693,plain,
~ sQ251_spl,
inference(contradiction_clause,[status(thm)],[f1692]) ).
fof(f1697,plain,
( ~ sQ247_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f272,f1417]) ).
fof(f1698,plain,
( ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f219]) ).
fof(f1699,plain,
~ sQ247_spl,
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1704,plain,
( ~ sQ243_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f272,f1400]) ).
fof(f1705,plain,
( ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1704,f218]) ).
fof(f1706,plain,
~ sQ243_spl,
inference(contradiction_clause,[status(thm)],[f1705]) ).
fof(f1708,plain,
( ~ sQ242_spl
| ~ sQ246_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1413,f1396]) ).
fof(f1709,plain,
( ~ sQ242_spl
| ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1708,f221]) ).
fof(f1710,plain,
( ~ sQ242_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f1709]) ).
fof(f1717,plain,
( ~ sQ275_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1536,f284]) ).
fof(f1718,plain,
( ~ sQ275_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1717,f220]) ).
fof(f1719,plain,
~ sQ275_spl,
inference(contradiction_clause,[status(thm)],[f1718]) ).
fof(f1728,plain,
( ~ sQ282_spl
| ~ sQ274_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1532,f1566]) ).
fof(f1729,plain,
( ~ sQ282_spl
| ~ sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1728,f219]) ).
fof(f1730,plain,
( ~ sQ282_spl
| ~ sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f1729]) ).
fof(f1734,plain,
( sQ213_spl
| ~ sQ272_spl
| h4(op1(e12,e10)) != op2(h4(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f1524,f1267]) ).
fof(f1735,plain,
( ~ sQ280_spl
| ~ sQ272_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1524,f1558]) ).
fof(f1736,plain,
( ~ sQ280_spl
| ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f219]) ).
fof(f1737,plain,
( ~ sQ280_spl
| ~ sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f1736]) ).
fof(f1743,plain,
( ~ sQ264_spl
| ~ sQ260_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1473,f1490]) ).
fof(f1744,plain,
( ~ sQ264_spl
| ~ sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1743,f218]) ).
fof(f1745,plain,
( ~ sQ264_spl
| ~ sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f1744]) ).
fof(f1756,plain,
( ~ sQ257_spl
| ~ sQ249_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1426,f1460]) ).
fof(f1757,plain,
( ~ sQ257_spl
| ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1756,f219]) ).
fof(f1758,plain,
( ~ sQ257_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f1757]) ).
fof(f1759,plain,
( ~ sQ256_spl
| ~ sQ248_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1422,f1456]) ).
fof(f1760,plain,
( ~ sQ256_spl
| ~ sQ248_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f219]) ).
fof(f1761,plain,
( ~ sQ256_spl
| ~ sQ248_spl ),
inference(contradiction_clause,[status(thm)],[f1760]) ).
fof(f1762,plain,
( sQ212_spl
| ~ sQ227_spl
| h4(op1(e11,e13)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1311,f1264]) ).
fof(f1764,plain,
( ~ sQ254_spl
| ~ sQ250_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1430,f1447]) ).
fof(f1765,plain,
( ~ sQ254_spl
| ~ sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1764,f218]) ).
fof(f1766,plain,
( ~ sQ254_spl
| ~ sQ250_spl ),
inference(contradiction_clause,[status(thm)],[f1765]) ).
fof(f1801,plain,
( sQ271_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f280,f1520]) ).
fof(f1802,plain,
( sQ271_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1801]) ).
fof(f1803,plain,
sQ271_spl,
inference(contradiction_clause,[status(thm)],[f1802]) ).
fof(f1807,plain,
op1(e13,e10) != e12,
inference(backward_demodulation,[status(thm)],[f268,f160]) ).
fof(f1810,plain,
op1(e10,e13) != e12,
inference(backward_demodulation,[status(thm)],[f268,f136]) ).
fof(f1811,plain,
( ~ sQ125_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f941]) ).
fof(f1812,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1811,f221]) ).
fof(f1813,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f1812]) ).
fof(f1815,plain,
( ~ sQ124_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f271,f938]) ).
fof(f1816,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1815,f219]) ).
fof(f1817,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1816]) ).
fof(f1822,plain,
( ~ sQ61_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f268,f701]) ).
fof(f1823,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1822,f215]) ).
fof(f1824,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1823]) ).
fof(f1826,plain,
( ~ sQ60_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f268,f698]) ).
fof(f1827,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1826,f213]) ).
fof(f1828,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1840,plain,
( sQ197_spl
| h3(e12) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f268,f1215]) ).
fof(f1841,plain,
( sQ197_spl
| h3(e12) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f280,f1840]) ).
fof(f1842,plain,
( sQ197_spl
| h3(e12) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f280,f1841]) ).
fof(f1843,plain,
( ~ sQ118_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f918,f175]) ).
fof(f1849,plain,
( ~ sQ109_spl
| ~ sQ111_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f895,f889]) ).
fof(f1850,plain,
( ~ sQ109_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1849,f222]) ).
fof(f1851,plain,
( ~ sQ109_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f1850]) ).
fof(f1864,plain,
( ~ sQ120_spl
| op2(e22,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f925,f181]) ).
fof(f1865,plain,
( ~ sQ91_spl
| e23 != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f830,f179]) ).
fof(f1867,plain,
( ~ sQ75_spl
| e23 != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f778,f177]) ).
fof(f1868,plain,
( ~ sQ103_spl
| op2(e21,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f869,f173]) ).
fof(f1870,plain,
( ~ sQ77_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f785,f183]) ).
fof(f1878,plain,
( sQ196_spl
| h3(op1(e13,e12)) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f280,f1212]) ).
fof(f1880,plain,
( sQ194_spl
| h3(op1(e13,e10)) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f1206]) ).
fof(f1899,plain,
op2(e22,e23) != e22,
inference(forward_demodulation,[status(thm)],[f271,f187]) ).
fof(f1903,plain,
( ~ sQ70_spl
| ~ sQ71_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f765,f762]) ).
fof(f1904,plain,
( ~ sQ70_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1903,f223]) ).
fof(f1905,plain,
( ~ sQ70_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1904]) ).
fof(f1909,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f1899]) ).
fof(f1910,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1909]) ).
fof(f1911,plain,
op2(e20,e23) != e22,
inference(forward_demodulation,[status(thm)],[f271,f184]) ).
fof(f1912,plain,
( ~ sQ92_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f834,f182]) ).
fof(f1913,plain,
( ~ sQ102_spl
| ~ sQ100_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f860,f866]) ).
fof(f1914,plain,
( ~ sQ102_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1913,f219]) ).
fof(f1915,plain,
( ~ sQ102_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f1914]) ).
fof(f1917,plain,
( ~ sQ99_spl
| ~ sQ96_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f847,f856]) ).
fof(f1918,plain,
( ~ sQ99_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1917,f220]) ).
fof(f1919,plain,
( ~ sQ99_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1918]) ).
fof(f1937,plain,
op2(e21,e23) != e22,
inference(forward_demodulation,[status(thm)],[f271,f186]) ).
fof(f1940,plain,
( ~ sQ69_spl
| op2(e20,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f759,f188]) ).
fof(f1949,plain,
( ~ sQ31_spl
| op1(e11,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f603,f151]) ).
fof(f1952,plain,
( ~ sQ31_spl
| op1(e10,e13) != e13 ),
inference(backward_demodulation,[status(thm)],[f603,f134]) ).
fof(f1955,plain,
( ~ sQ15_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f551,f145]) ).
fof(f1961,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f603,f600]) ).
fof(f1962,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1961,f217]) ).
fof(f1963,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1962]) ).
fof(f1983,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f655,f649]) ).
fof(f1984,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1983,f216]) ).
fof(f1985,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1984]) ).
fof(f1993,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f678,f675]) ).
fof(f1994,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f215]) ).
fof(f1995,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1994]) ).
fof(f2002,plain,
( ~ sQ27_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f590,f149]) ).
fof(f2004,plain,
( ~ sQ27_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f590,f131]) ).
fof(f2010,plain,
( ~ sQ11_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f538,f129]) ).
fof(f2012,plain,
( ~ sQ39_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f629,f155]) ).
fof(f2014,plain,
( ~ sQ39_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f629,f125]) ).
fof(f2016,plain,
( ~ sQ35_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f616,f153]) ).
fof(f2018,plain,
( ~ sQ35_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f616,f117]) ).
fof(f2019,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f590,f587]) ).
fof(f2020,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2019,f217]) ).
fof(f2021,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2020]) ).
fof(f2029,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f545,f542]) ).
fof(f2030,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f212]) ).
fof(f2031,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2030]) ).
fof(f2044,plain,
( ~ sQ7_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f525,f140]) ).
fof(f2049,plain,
( ~ sQ19_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f564,f116]) ).
fof(f2051,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f525,f522]) ).
fof(f2052,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2051,f217]) ).
fof(f2053,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2052]) ).
fof(f2054,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f564,f561]) ).
fof(f2055,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2054,f217]) ).
fof(f2056,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2055]) ).
fof(f2061,plain,
( ~ sQ67_spl
| e23 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f752,f190]) ).
fof(f2067,plain,
( ~ sQ92_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1912,f781,f833]) ).
fof(f2072,plain,
( sQ196_spl
| ~ sQ56_spl
| h3(e10) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f685,f1878]) ).
fof(f2076,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f512,f506]) ).
fof(f2077,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2076,f216]) ).
fof(f2078,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2077]) ).
fof(f2079,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f532,f538]) ).
fof(f2080,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f216]) ).
fof(f2081,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2080]) ).
fof(f2084,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f607,f616]) ).
fof(f2085,plain,
( ~ sQ35_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2084,f214]) ).
fof(f2086,plain,
( ~ sQ35_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2085]) ).
fof(f2096,plain,
( ~ sQ106_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f879,f203]) ).
fof(f2099,plain,
( ~ sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f2096,f865,f878]) ).
fof(f2103,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f925,f931]) ).
fof(f2104,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2103,f219]) ).
fof(f2105,plain,
( ~ sQ122_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2104]) ).
fof(f2106,plain,
( sQ192_spl
| ~ sQ43_spl
| h3(e13) != op2(h3(e12),h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f642,f1200]) ).
fof(f2107,plain,
( sQ192_spl
| ~ sQ43_spl
| e22 != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f280,f2106]) ).
fof(f2112,plain,
( ~ sQ112_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f899,f207]) ).
fof(f2113,plain,
( ~ sQ42_spl
| ~ sQ43_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f642,f639]) ).
fof(f2114,plain,
( ~ sQ42_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2113,f217]) ).
fof(f2115,plain,
( ~ sQ42_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2114]) ).
fof(f2119,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f577,f2002]) ).
fof(f2120,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2119]) ).
fof(f2121,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2120]) ).
fof(f2122,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f620,f629]) ).
fof(f2123,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2122,f214]) ).
fof(f2124,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2123]) ).
fof(f2125,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f577,f574]) ).
fof(f2126,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2125,f217]) ).
fof(f2127,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2126]) ).
fof(f2131,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f555,f558]) ).
fof(f2132,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2131,f212]) ).
fof(f2133,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2132]) ).
fof(f2135,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f685,f694]) ).
fof(f2136,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2135,f214]) ).
fof(f2137,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2136]) ).
fof(f2139,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f594,f603]) ).
fof(f2140,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2139,f214]) ).
fof(f2141,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2140]) ).
fof(f2146,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1949,f589,f602]) ).
fof(f2147,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f636,f633]) ).
fof(f2148,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2147,f212]) ).
fof(f2149,plain,
( ~ sQ40_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2148]) ).
fof(f2155,plain,
( ~ sQ85_spl
| ~ sQ87_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f817,f811]) ).
fof(f2156,plain,
( ~ sQ85_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2155,f222]) ).
fof(f2157,plain,
( ~ sQ85_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f2156]) ).
fof(f2159,plain,
( ~ sQ69_spl
| ~ sQ65_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f746,f1940]) ).
fof(f2160,plain,
( ~ sQ69_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2159]) ).
fof(f2161,plain,
( ~ sQ69_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2160]) ).
fof(f2162,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f746,f743]) ).
fof(f2163,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2162,f218]) ).
fof(f2164,plain,
( ~ sQ64_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2163]) ).
fof(f2168,plain,
( ~ sQ127_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f271,f947]) ).
fof(f2169,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2168,f223]) ).
fof(f2170,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2169]) ).
fof(f2174,plain,
( ~ sQ67_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f2061,f790,f751]) ).
fof(f2181,plain,
( ~ sQ91_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1865,f881,f829]) ).
fof(f2186,plain,
( ~ sQ103_spl
| ~ sQ87_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f817,f1868]) ).
fof(f2187,plain,
( ~ sQ103_spl
| ~ sQ87_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2186]) ).
fof(f2188,plain,
( ~ sQ103_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f2187]) ).
fof(f2194,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2004,f641,f589]) ).
fof(f2196,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2012,f641,f628]) ).
fof(f2203,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1955,f537,f550]) ).
fof(f2207,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2010,f641,f537]) ).
fof(f2208,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2016,f641,f615]) ).
fof(f2212,plain,
e10 = op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f268,f266]) ).
fof(f2217,plain,
( ~ sQ63_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f268,f707]) ).
fof(f2218,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2217,f217]) ).
fof(f2219,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f2218]) ).
fof(f2222,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f503,f512]) ).
fof(f2223,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2222,f214]) ).
fof(f2224,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2223]) ).
fof(f2226,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1952,f550,f602]) ).
fof(f2227,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f503,f506]) ).
fof(f2228,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2227,f212]) ).
fof(f2229,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2228]) ).
fof(f2235,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2049,f511,f563]) ).
fof(f2236,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2044,f511,f524]) ).
fof(f2238,plain,
e11 = op1(e12,e13),
inference(forward_demodulation,[status(thm)],[f268,f267]) ).
fof(f2239,plain,
e20 = op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f271,f269]) ).
fof(f2240,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2239,f2112]) ).
fof(f2241,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f2240]) ).
fof(f2243,plain,
op2(e22,e21) != e21,
inference(backward_demodulation,[status(thm)],[f2246,f204]) ).
fof(f2244,plain,
op2(e22,e20) != e21,
inference(backward_demodulation,[status(thm)],[f2246,f202]) ).
fof(f2246,plain,
e21 = op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f271,f270]) ).
fof(f2259,plain,
( ~ sQ84_spl
| ~ sQ87_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f817,f808]) ).
fof(f2260,plain,
( ~ sQ84_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2259,f220]) ).
fof(f2261,plain,
( ~ sQ84_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f2260]) ).
fof(f2273,plain,
( ~ sQ117_spl
| ~ sQ119_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f921,f915]) ).
fof(f2274,plain,
( ~ sQ117_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2273,f222]) ).
fof(f2275,plain,
( ~ sQ117_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f2274]) ).
fof(f2277,plain,
( ~ sQ113_spl
| ~ sQ115_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f908,f902]) ).
fof(f2278,plain,
( ~ sQ113_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2277,f222]) ).
fof(f2279,plain,
( ~ sQ113_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2280,plain,
( ~ sQ120_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f1864,f872,f924]) ).
fof(f2281,plain,
( ~ sQ114_spl
| ~ sQ115_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f908,f905]) ).
fof(f2282,plain,
( ~ sQ114_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2281,f223]) ).
fof(f2283,plain,
( ~ sQ114_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2282]) ).
fof(f2290,plain,
( sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f1842]) ).
fof(f2291,plain,
sQ197_spl,
inference(contradiction_clause,[status(thm)],[f2290]) ).
fof(f2292,plain,
( ~ sQ197_spl
| h3(e12) = op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f268,f1214]) ).
fof(f2293,plain,
( ~ sQ197_spl
| h3(e12) = op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f280,f2292]) ).
fof(f2294,plain,
( ~ sQ197_spl
| h3(e12) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f280,f2293]) ).
fof(f2299,plain,
( ~ sQ197_spl
| h3(e11) = op2(h3(e12),e22) ),
inference(backward_demodulation,[status(thm)],[f2294,f282]) ).
fof(f2300,plain,
( ~ sQ197_spl
| h3(e10) = op2(e22,h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f2294,f281]) ).
fof(f2301,plain,
( ~ sQ197_spl
| sQ196_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2300,f2072]) ).
fof(f2302,plain,
( ~ sQ197_spl
| sQ196_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2301]) ).
fof(f2303,plain,
( ~ sQ196_spl
| h3(e10) = op2(h3(e13),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2212,f1211]) ).
fof(f2304,plain,
( ~ sQ196_spl
| h3(e10) = op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f280,f2303]) ).
fof(f2305,plain,
( ~ sQ57_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f2212,f688]) ).
fof(f2306,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2305,f212]) ).
fof(f2307,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f2306]) ).
fof(f2308,plain,
( ~ sQ58_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f2212,f691]) ).
fof(f2309,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2308,f213]) ).
fof(f2310,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f2309]) ).
fof(f2316,plain,
h4(e11) = op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f271,f286]) ).
fof(f2317,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f2246,f2316]) ).
fof(f2318,plain,
( sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2317,f1546]) ).
fof(f2319,plain,
sQ277_spl,
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2320,plain,
( sQ207_spl
| ~ sQ272_spl
| h4(op1(e10,e12)) != op2(e20,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1524,f1249]) ).
fof(f2321,plain,
( sQ211_spl
| ~ sQ25_spl
| h4(e11) != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f584,f1261]) ).
fof(f2322,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f271,f287]) ).
fof(f2325,plain,
( sQ282_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2322,f1567]) ).
fof(f2326,plain,
( sQ282_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2325]) ).
fof(f2327,plain,
sQ282_spl,
inference(contradiction_clause,[status(thm)],[f2326]) ).
fof(f2328,plain,
( sQ216_spl
| ~ sQ282_spl
| h4(e11) != op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2238,f1639]) ).
fof(f2329,plain,
( sQ216_spl
| ~ sQ282_spl
| ~ sQ227_spl
| h4(e11) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1311,f2328]) ).
fof(f2330,plain,
( sQ216_spl
| ~ sQ282_spl
| ~ sQ227_spl
| h4(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f2246,f2329]) ).
fof(f2334,plain,
h4(e10) = op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f271,f285]) ).
fof(f2338,plain,
( ~ sQ273_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2317,f1528]) ).
fof(f2339,plain,
( ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2338,f218]) ).
fof(f2340,plain,
~ sQ273_spl,
inference(contradiction_clause,[status(thm)],[f2339]) ).
fof(f2350,plain,
( sQ185_spl
| h3(op1(e10,e13)) != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f280,f1179]) ).
fof(f2351,plain,
( sQ216_spl
| ~ sQ282_spl
| ~ sQ227_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2317,f2330]) ).
fof(f2352,plain,
( sQ216_spl
| ~ sQ282_spl
| ~ sQ227_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2351]) ).
fof(f2353,plain,
( sQ216_spl
| ~ sQ282_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f2352]) ).
fof(f2358,plain,
( ~ sQ105_spl
| ~ sQ197_spl
| h3(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f2294,f876]) ).
fof(f2361,plain,
( sQ174_spl
| h2(e12) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f268,f1142]) ).
fof(f2362,plain,
( sQ174_spl
| h2(e12) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f276,f2361]) ).
fof(f2363,plain,
( sQ174_spl
| h2(e12) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f276,f2362]) ).
fof(f2364,plain,
( sQ174_spl
| h2(e12) != h2(e12) ),
inference(forward_demodulation,[status(thm)],[f279,f2363]) ).
fof(f2365,plain,
( sQ174_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2364]) ).
fof(f2366,plain,
sQ174_spl,
inference(contradiction_clause,[status(thm)],[f2365]) ).
fof(f2370,plain,
( sQ173_spl
| h2(e10) != op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2212,f1139]) ).
fof(f2376,plain,
( ~ sQ173_spl
| h2(e10) = op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2212,f1138]) ).
fof(f2377,plain,
( ~ sQ173_spl
| h2(e10) = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f276,f2376]) ).
fof(f2378,plain,
h2(e10) = op2(e21,h2(e12)),
inference(forward_demodulation,[status(thm)],[f279,f277]) ).
fof(f2382,plain,
h2(e11) = op2(h2(e12),e21),
inference(forward_demodulation,[status(thm)],[f279,f278]) ).
fof(f2384,plain,
( ~ sQ197_spl
| ~ sQ105_spl
| e21 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f2358,f2294]) ).
fof(f2391,plain,
( sQ172_spl
| ~ sQ53_spl
| h2(e11) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f675,f1136]) ).
fof(f2392,plain,
( sQ172_spl
| ~ sQ53_spl
| h2(e11) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f276,f2391]) ).
fof(f2395,plain,
( sQ170_spl
| h2(e11) != op2(h2(e12),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2238,f1130]) ).
fof(f2396,plain,
( sQ170_spl
| h2(e11) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f2395]) ).
fof(f2403,plain,
( ~ sQ44_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f2238,f646]) ).
fof(f2404,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2403,f212]) ).
fof(f2405,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f2404]) ).
fof(f2406,plain,
( ~ sQ46_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f2238,f652]) ).
fof(f2407,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2406,f215]) ).
fof(f2408,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f2407]) ).
fof(f2416,plain,
( ~ sQ108_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2246,f886]) ).
fof(f2417,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2416,f218]) ).
fof(f2418,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f2417]) ).
fof(f2422,plain,
( ~ sQ77_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2246,f1870]) ).
fof(f2423,plain,
( ~ sQ77_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2422]) ).
fof(f2424,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f2423]) ).
fof(f2426,plain,
( ~ sQ69_spl
| ~ sQ70_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f762,f759]) ).
fof(f2427,plain,
( ~ sQ69_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2426,f221]) ).
fof(f2428,plain,
( ~ sQ69_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f2427]) ).
fof(f2430,plain,
( ~ sQ66_spl
| h1(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f275,f749]) ).
fof(f2431,plain,
( ~ sQ66_spl
| sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2430,f1414]) ).
fof(f2432,plain,
( ~ sQ66_spl
| sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f2431]) ).
fof(f2433,plain,
( ~ sQ86_spl
| h2(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f279,f814]) ).
fof(f2434,plain,
( ~ sQ86_spl
| sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2433,f1465]) ).
fof(f2435,plain,
( ~ sQ86_spl
| sQ258_spl ),
inference(contradiction_clause,[status(thm)],[f2434]) ).
fof(f2446,plain,
( sQ166_spl
| h2(op1(e11,e13)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f1118]) ).
fof(f2451,plain,
( ~ sQ246_spl
| e22 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f1413,f275]) ).
fof(f2454,plain,
( ~ sQ246_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f2451,f748,f1412]) ).
fof(f2479,plain,
( sQ162_spl
| h2(op1(e10,e13)) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f1106]) ).
fof(f2481,plain,
( sQ255_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f276,f1452]) ).
fof(f2482,plain,
( sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2481]) ).
fof(f2483,plain,
sQ255_spl,
inference(contradiction_clause,[status(thm)],[f2482]) ).
fof(f2505,plain,
( ~ sQ74_spl
| ~ sQ72_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f769,f775]) ).
fof(f2506,plain,
( ~ sQ74_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2505,f219]) ).
fof(f2507,plain,
( ~ sQ74_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f2506]) ).
fof(f2530,plain,
( sQ172_spl
| ~ sQ53_spl
| ~ sQ257_spl
| h2(e11) != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f1460,f2392]) ).
fof(f2533,plain,
( sQ172_spl
| ~ sQ53_spl
| ~ sQ257_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1460,f2530]) ).
fof(f2543,plain,
( ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f788,f1911]) ).
fof(f2544,plain,
~ sQ78_spl,
inference(contradiction_clause,[status(thm)],[f2543]) ).
fof(f2547,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f801,f798]) ).
fof(f2548,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2547,f221]) ).
fof(f2549,plain,
( ~ sQ81_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2548]) ).
fof(f2559,plain,
( ~ sQ118_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1843,f865,f917]) ).
fof(f2573,plain,
( sQ185_spl
| ~ sQ264_spl
| h3(op1(e10,e13)) != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f1490,f2350]) ).
fof(f2590,plain,
( sQ220_spl
| h4(e12) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f268,f1288]) ).
fof(f2591,plain,
( sQ220_spl
| e22 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2322,f2590]) ).
fof(f2592,plain,
( sQ220_spl
| ~ sQ227_spl
| e22 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1311,f2591]) ).
fof(f2593,plain,
( sQ220_spl
| ~ sQ227_spl
| e22 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1311,f2592]) ).
fof(f2594,plain,
( sQ220_spl
| ~ sQ227_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f271,f2593]) ).
fof(f2595,plain,
( sQ220_spl
| ~ sQ227_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2594]) ).
fof(f2596,plain,
( sQ220_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f2595]) ).
fof(f2601,plain,
( sQ219_spl
| h4(e10) != op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2212,f1285]) ).
fof(f2602,plain,
( sQ219_spl
| ~ sQ227_spl
| h4(e10) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1311,f2601]) ).
fof(f2603,plain,
( sQ219_spl
| ~ sQ227_spl
| h4(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2322,f2602]) ).
fof(f2611,plain,
( sQ214_spl
| h4(op1(e12,e11)) != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2322,f1270]) ).
fof(f2612,plain,
( sQ214_spl
| h4(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2317,f2611]) ).
fof(f2613,plain,
( sQ215_spl
| h4(op1(e12,e12)) != op2(e22,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2322,f1273]) ).
fof(f2614,plain,
( sQ215_spl
| h4(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2322,f2613]) ).
fof(f2615,plain,
( sQ215_spl
| ~ sQ43_spl
| h4(e13) != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f642,f2614]) ).
fof(f2616,plain,
( sQ215_spl
| ~ sQ43_spl
| ~ sQ227_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1311,f2615]) ).
fof(f2619,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f584,f587]) ).
fof(f2620,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2619,f215]) ).
fof(f2621,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2620]) ).
fof(f2636,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f535,f532]) ).
fof(f2637,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2636,f215]) ).
fof(f2638,plain,
( ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2637]) ).
fof(f2641,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f613,f610]) ).
fof(f2642,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2641,f215]) ).
fof(f2643,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2642]) ).
fof(f2645,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f613,f607]) ).
fof(f2646,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2645,f213]) ).
fof(f2647,plain,
( ~ sQ32_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2646]) ).
fof(f2655,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f642,f636]) ).
fof(f2656,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2655,f216]) ).
fof(f2657,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2656]) ).
fof(f2658,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f509,f506]) ).
fof(f2659,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2658,f215]) ).
fof(f2660,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2659]) ).
fof(f2661,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f675,f672]) ).
fof(f2662,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2661,f212]) ).
fof(f2663,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2662]) ).
fof(f2664,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f642,f633]) ).
fof(f2665,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2664,f214]) ).
fof(f2666,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2665]) ).
fof(f2673,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f555,f561]) ).
fof(f2674,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2673,f213]) ).
fof(f2675,plain,
( ~ sQ18_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2674]) ).
fof(f2676,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f548,f1810]) ).
fof(f2677,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f2676]) ).
fof(f2681,plain,
( sQ172_spl
| h2(op1(e13,e11)) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f276,f1136]) ).
fof(f2688,plain,
( sQ171_spl
| h2(op1(e13,e10)) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f276,f1133]) ).
fof(f2690,plain,
( ~ sQ19_spl
| ~ sQ16_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f555,f564]) ).
fof(f2691,plain,
( ~ sQ19_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2690,f214]) ).
fof(f2692,plain,
( ~ sQ19_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2691]) ).
fof(f2693,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f581,f584]) ).
fof(f2694,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2693,f212]) ).
fof(f2695,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2694]) ).
fof(f2696,plain,
( sQ211_spl
| ~ sQ25_spl
| e21 != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2317,f2321]) ).
fof(f2697,plain,
( sQ211_spl
| ~ sQ25_spl
| e21 != op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2317,f2696]) ).
fof(f2698,plain,
( sQ211_spl
| ~ sQ25_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2322,f2697]) ).
fof(f2707,plain,
op2(e21,e22) != e20,
inference(backward_demodulation,[status(thm)],[f2239,f180]) ).
fof(f2708,plain,
( sQ219_spl
| ~ sQ227_spl
| h4(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f2239,f2603]) ).
fof(f2718,plain,
( sQ120_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2239,f926]) ).
fof(f2719,plain,
( sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2718]) ).
fof(f2720,plain,
sQ120_spl,
inference(contradiction_clause,[status(thm)],[f2719]) ).
fof(f2721,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f850,f2244]) ).
fof(f2722,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f2721]) ).
fof(f2724,plain,
( ~ sQ75_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1867,f881,f777]) ).
fof(f2734,plain,
( ~ sQ121_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2239,f928]) ).
fof(f2735,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2734,f218]) ).
fof(f2736,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2741,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f863,f2243]) ).
fof(f2742,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f2741]) ).
fof(f2748,plain,
( ~ sQ123_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2239,f934]) ).
fof(f2749,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2748,f220]) ).
fof(f2750,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f2749]) ).
fof(f2753,plain,
op2(e21,e23) != e21,
inference(forward_demodulation,[status(thm)],[f2246,f185]) ).
fof(f2763,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f607,f610]) ).
fof(f2764,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2763,f212]) ).
fof(f2765,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2764]) ).
fof(f2766,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2018,f511,f615]) ).
fof(f2773,plain,
( ~ sQ20_spl
| e10 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f568,f150]) ).
fof(f2774,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2773,f593,f567]) ).
fof(f2778,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f568,f571]) ).
fof(f2779,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2778,f212]) ).
fof(f2780,plain,
( ~ sQ21_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2779]) ).
fof(f2783,plain,
( sQ45_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f2238,f650]) ).
fof(f2784,plain,
( sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2783]) ).
fof(f2785,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f2784]) ).
fof(f2789,plain,
( sQ215_spl
| ~ sQ43_spl
| ~ sQ227_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f2616,f881,f1310,f641,f1271]) ).
fof(f2793,plain,
( ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f665,f1807]) ).
fof(f2794,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f2793]) ).
fof(f2811,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f840,f1937]) ).
fof(f2812,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f2811]) ).
fof(f2813,plain,
( ~ sQ96_spl
| ~ sQ98_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f853,f847]) ).
fof(f2814,plain,
( ~ sQ96_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2813,f219]) ).
fof(f2815,plain,
( ~ sQ96_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f2814]) ).
fof(f2835,plain,
( ~ sQ84_spl
| op2(e20,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f808,f170]) ).
fof(f2836,plain,
( ~ sQ84_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f2835,f755,f807]) ).
fof(f2839,plain,
( ~ sQ85_spl
| ~ sQ84_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f808,f811]) ).
fof(f2840,plain,
( ~ sQ85_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2839,f218]) ).
fof(f2841,plain,
( ~ sQ85_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f2840]) ).
fof(f2855,plain,
( ~ sQ107_spl
| ~ sQ197_spl
| ~ sQ105_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2384,f882]) ).
fof(f2856,plain,
( ~ sQ107_spl
| ~ sQ197_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2855,f222]) ).
fof(f2857,plain,
( ~ sQ107_spl
| ~ sQ197_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f2856]) ).
fof(f2859,plain,
( ~ sQ84_spl
| e20 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f808,f173]) ).
fof(f2862,plain,
op1(e10,e12) != e10,
inference(forward_demodulation,[status(thm)],[f2212,f130]) ).
fof(f2868,plain,
( sQ212_spl
| ~ sQ227_spl
| h4(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2317,f1762]) ).
fof(f2876,plain,
op1(e13,e10) != e10,
inference(forward_demodulation,[status(thm)],[f2212,f159]) ).
fof(f2887,plain,
( ~ sQ1_spl
| e11 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f506,f118]) ).
fof(f2893,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2887,f661,f505]) ).
fof(f2895,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f659,f2876]) ).
fof(f2896,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f2895]) ).
fof(f2906,plain,
( ~ sQ197_spl
| ~ sQ265_spl
| e21 = op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f1494,f2299]) ).
fof(f2913,plain,
( sQ194_spl
| ~ sQ264_spl
| h3(op1(e13,e10)) != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1490,f1880]) ).
fof(f2919,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f2862]) ).
fof(f2920,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f2919]) ).
fof(f2928,plain,
( ~ sQ25_spl
| e11 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f584,f151]) ).
fof(f2929,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2928,f596,f583]) ).
fof(f2937,plain,
( sQ212_spl
| ~ sQ227_spl
| ~ sQ31_spl
| h4(e13) != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f603,f2868]) ).
fof(f2942,plain,
( sQ212_spl
| ~ sQ227_spl
| ~ sQ31_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1311,f2937]) ).
fof(f2951,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f568,f574]) ).
fof(f2952,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2951,f213]) ).
fof(f2953,plain,
( ~ sQ22_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2952]) ).
fof(f2969,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f626,f620]) ).
fof(f2970,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2969,f213]) ).
fof(f2971,plain,
( ~ sQ36_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2970]) ).
fof(f2972,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f626,f623]) ).
fof(f2973,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2972,f215]) ).
fof(f2974,plain,
( ~ sQ37_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2973]) ).
fof(f2978,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f519,f525]) ).
fof(f2979,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2978,f216]) ).
fof(f2980,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2979]) ).
fof(f2981,plain,
( ~ sQ38_spl
| op1(e10,e11) != e12 ),
inference(forward_demodulation,[status(thm)],[f626,f123]) ).
fof(f2985,plain,
( ~ sQ95_spl
| sQ212_spl
| ~ sQ227_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f2942]) ).
fof(f2986,plain,
( ~ sQ95_spl
| sQ212_spl
| ~ sQ227_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2985]) ).
fof(f2987,plain,
( ~ sQ212_spl
| ~ sQ31_spl
| h4(e13) = op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f603,f1263]) ).
fof(f2988,plain,
( ~ sQ212_spl
| ~ sQ31_spl
| ~ sQ227_spl
| e23 = op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1311,f2987]) ).
fof(f2989,plain,
( ~ sQ212_spl
| ~ sQ31_spl
| ~ sQ227_spl
| e23 = op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2317,f2988]) ).
fof(f2990,plain,
( ~ sQ212_spl
| ~ sQ31_spl
| ~ sQ227_spl
| e23 = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1311,f2989]) ).
fof(f2994,plain,
( ~ sQ89_spl
| sQ211_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f2698]) ).
fof(f2995,plain,
( ~ sQ89_spl
| sQ211_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2994]) ).
fof(f2996,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f2753]) ).
fof(f2997,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f2996]) ).
fof(f2998,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f2707]) ).
fof(f2999,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f2998]) ).
fof(f3000,plain,
( ~ sQ211_spl
| ~ sQ25_spl
| h4(e11) = op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f584,f1260]) ).
fof(f3001,plain,
( ~ sQ211_spl
| ~ sQ25_spl
| e21 = op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2317,f3000]) ).
fof(f3002,plain,
( ~ sQ211_spl
| ~ sQ25_spl
| e21 = op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2317,f3001]) ).
fof(f3003,plain,
( ~ sQ211_spl
| ~ sQ25_spl
| e21 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2322,f3002]) ).
fof(f3008,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ12_spl
| h3(e10) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f542,f2573]) ).
fof(f3011,plain,
( sQ172_spl
| ~ sQ53_spl
| ~ sQ257_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f2533,f826,f1459,f674,f1134]) ).
fof(f3033,plain,
( ~ sQ65_spl
| e21 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f746,f189]) ).
fof(f3037,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f775,f772]) ).
fof(f3038,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3037,f221]) ).
fof(f3039,plain,
( ~ sQ73_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f3038]) ).
fof(f3068,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f675,f681]) ).
fof(f3069,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3068,f216]) ).
fof(f3070,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f3069]) ).
fof(f3083,plain,
( ~ sQ107_spl
| op2(e22,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f882,f203]) ).
fof(f3088,plain,
( ~ sQ197_spl
| ~ sQ107_spl
| h3(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f882,f2294]) ).
fof(f3089,plain,
( ~ sQ197_spl
| ~ sQ107_spl
| sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3088,f1235]) ).
fof(f3090,plain,
( ~ sQ197_spl
| ~ sQ107_spl
| sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f3089]) ).
fof(f3094,plain,
( sQ162_spl
| ~ sQ12_spl
| h2(e10) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f542,f2479]) ).
fof(f3120,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ12_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1490,f3008]) ).
fof(f3121,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ12_spl
| ~ sQ211_spl
| ~ sQ25_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3003,f3120]) ).
fof(f3122,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ12_spl
| ~ sQ211_spl
| ~ sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3121]) ).
fof(f3123,plain,
( sQ185_spl
| ~ sQ264_spl
| ~ sQ12_spl
| ~ sQ211_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3122]) ).
fof(f3124,plain,
( sQ161_spl
| ~ sQ10_spl
| h2(e12) != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f535,f1103]) ).
fof(f3138,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f2239,f2334]) ).
fof(f3139,plain,
( sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3138,f1525]) ).
fof(f3140,plain,
sQ272_spl,
inference(contradiction_clause,[status(thm)],[f3139]) ).
fof(f3141,plain,
( sQ219_spl
| ~ sQ227_spl
| ~ sQ272_spl ),
inference(split_clause,[status(thm)],[f2708,f1523,f1310,f1283]) ).
fof(f3144,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ32_spl
| h4(e10) != op2(h4(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f607,f1734]) ).
fof(f3145,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ32_spl
| h4(e10) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2322,f3144]) ).
fof(f3146,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ32_spl
| ~ sQ96_spl
| h4(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f847,f3145]) ).
fof(f3147,plain,
( sQ207_spl
| ~ sQ272_spl
| ~ sQ10_spl
| h4(e12) != op2(e20,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f535,f2320]) ).
fof(f3148,plain,
( sQ207_spl
| ~ sQ272_spl
| ~ sQ10_spl
| e22 != op2(e20,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2322,f3147]) ).
fof(f3149,plain,
( sQ207_spl
| ~ sQ272_spl
| ~ sQ10_spl
| e22 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f2322,f3148]) ).
fof(f3150,plain,
( sQ207_spl
| ~ sQ272_spl
| ~ sQ10_spl
| ~ sQ74_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f775,f3149]) ).
fof(f3151,plain,
( sQ207_spl
| ~ sQ272_spl
| ~ sQ10_spl
| ~ sQ74_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3150]) ).
fof(f3152,plain,
( sQ207_spl
| ~ sQ272_spl
| ~ sQ10_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f3151]) ).
fof(f3157,plain,
( ~ sQ207_spl
| ~ sQ10_spl
| h4(e12) = op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f535,f1248]) ).
fof(f3158,plain,
( ~ sQ207_spl
| ~ sQ10_spl
| e22 = op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2322,f3157]) ).
fof(f3159,plain,
( ~ sQ207_spl
| ~ sQ10_spl
| e22 = op2(h4(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f2322,f3158]) ).
fof(f3178,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ32_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3138,f3146]) ).
fof(f3179,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ32_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3178]) ).
fof(f3180,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ32_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f3179]) ).
fof(f3185,plain,
( sQ168_spl
| ~ sQ38_spl
| h2(e12) != op2(h2(e12),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f626,f1124]) ).
fof(f3186,plain,
( ~ sQ84_spl
| h2(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f808,f279]) ).
fof(f3187,plain,
( ~ sQ84_spl
| sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3186,f1431]) ).
fof(f3188,plain,
( ~ sQ84_spl
| sQ250_spl ),
inference(contradiction_clause,[status(thm)],[f3187]) ).
fof(f3204,plain,
( sQ169_spl
| ~ sQ43_spl
| h2(e13) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f642,f1127]) ).
fof(f3205,plain,
( sQ169_spl
| ~ sQ43_spl
| e21 != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f276,f3204]) ).
fof(f3206,plain,
( sQ169_spl
| ~ sQ43_spl
| ~ sQ84_spl
| e21 != op2(h2(e12),e20) ),
inference(backward_demodulation,[status(thm)],[f3186,f3205]) ).
fof(f3207,plain,
( sQ168_spl
| ~ sQ38_spl
| ~ sQ84_spl
| h2(e12) != op2(e20,h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f3186,f3185]) ).
fof(f3208,plain,
( ~ sQ84_spl
| h2(e11) = op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f3186,f2382]) ).
fof(f3209,plain,
( sQ161_spl
| ~ sQ10_spl
| ~ sQ84_spl
| h2(e12) != op2(h2(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f3186,f3124]) ).
fof(f3210,plain,
( ~ sQ173_spl
| ~ sQ84_spl
| h2(e10) = op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f3186,f2377]) ).
fof(f3214,plain,
( sQ169_spl
| ~ sQ43_spl
| ~ sQ84_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3186,f3206]) ).
fof(f3215,plain,
( sQ169_spl
| ~ sQ43_spl
| ~ sQ84_spl
| ~ sQ65_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f746,f3214]) ).
fof(f3216,plain,
( sQ169_spl
| ~ sQ43_spl
| ~ sQ84_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3215]) ).
fof(f3217,plain,
( sQ169_spl
| ~ sQ43_spl
| ~ sQ84_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f3216]) ).
fof(f3218,plain,
( sQ168_spl
| ~ sQ38_spl
| ~ sQ84_spl
| e20 != op2(e20,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3186,f3207]) ).
fof(f3219,plain,
( ~ sQ84_spl
| ~ sQ71_spl
| h2(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f765,f3208]) ).
fof(f3220,plain,
( ~ sQ84_spl
| ~ sQ71_spl
| sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3219,f1158]) ).
fof(f3221,plain,
( ~ sQ84_spl
| ~ sQ71_spl
| sQ179_spl ),
inference(contradiction_clause,[status(thm)],[f3220]) ).
fof(f3222,plain,
( sQ161_spl
| ~ sQ10_spl
| ~ sQ84_spl
| e20 != op2(h2(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f3186,f3209]) ).
fof(f3223,plain,
( ~ sQ173_spl
| ~ sQ84_spl
| ~ sQ82_spl
| h2(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f801,f3210]) ).
fof(f3224,plain,
( ~ sQ173_spl
| ~ sQ84_spl
| ~ sQ82_spl
| sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3223,f1457]) ).
fof(f3225,plain,
( ~ sQ173_spl
| ~ sQ84_spl
| ~ sQ82_spl
| sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f3224]) ).
fof(f3230,plain,
( ~ sQ84_spl
| h2(e10) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3186,f2378]) ).
fof(f3231,plain,
( ~ sQ84_spl
| ~ sQ82_spl
| h2(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f801,f3230]) ).
fof(f3232,plain,
( sQ173_spl
| h2(e10) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f276,f2370]) ).
fof(f3233,plain,
( sQ173_spl
| ~ sQ84_spl
| h2(e10) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3186,f3232]) ).
fof(f3234,plain,
( sQ173_spl
| ~ sQ84_spl
| ~ sQ82_spl
| h2(e10) != e22 ),
inference(forward_demodulation,[status(thm)],[f801,f3233]) ).
fof(f3240,plain,
( sQ170_spl
| ~ sQ84_spl
| h2(e11) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3186,f2396]) ).
fof(f3241,plain,
( sQ170_spl
| ~ sQ84_spl
| ~ sQ71_spl
| h2(e11) != e23 ),
inference(forward_demodulation,[status(thm)],[f765,f3240]) ).
fof(f3242,plain,
( ~ sQ65_spl
| h1(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f746,f275]) ).
fof(f3243,plain,
( ~ sQ65_spl
| sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3242,f1397]) ).
fof(f3244,plain,
( ~ sQ65_spl
| sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f3243]) ).
fof(f3252,plain,
( ~ sQ179_spl
| sQ170_spl
| ~ sQ84_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1157,f3241]) ).
fof(f3253,plain,
( ~ sQ179_spl
| sQ170_spl
| ~ sQ84_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f3252]) ).
fof(f3258,plain,
( sQ160_spl
| ~ sQ7_spl
| h2(e13) != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f525,f1100]) ).
fof(f3259,plain,
( sQ160_spl
| ~ sQ7_spl
| e21 != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f276,f3258]) ).
fof(f3260,plain,
( sQ160_spl
| ~ sQ7_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e21 != op2(h2(e10),e23) ),
inference(backward_demodulation,[status(thm)],[f3219,f3259]) ).
fof(f3264,plain,
( ~ sQ84_spl
| ~ sQ82_spl
| sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3231,f3234]) ).
fof(f3265,plain,
( ~ sQ84_spl
| ~ sQ82_spl
| sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f3264]) ).
fof(f3266,plain,
( sQ162_spl
| ~ sQ12_spl
| ~ sQ256_spl
| h2(e10) != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1456,f3094]) ).
fof(f3270,plain,
( sQ162_spl
| ~ sQ12_spl
| ~ sQ256_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1456,f3266]) ).
fof(f3271,plain,
( sQ162_spl
| ~ sQ12_spl
| ~ sQ256_spl
| ~ sQ102_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f866,f3270]) ).
fof(f3272,plain,
( sQ162_spl
| ~ sQ12_spl
| ~ sQ256_spl
| ~ sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3271]) ).
fof(f3273,plain,
( sQ162_spl
| ~ sQ12_spl
| ~ sQ256_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f3272]) ).
fof(f3282,plain,
( sQ166_spl
| ~ sQ31_spl
| h2(e13) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f603,f2446]) ).
fof(f3283,plain,
( sQ166_spl
| ~ sQ31_spl
| e21 != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f3282]) ).
fof(f3284,plain,
( sQ166_spl
| ~ sQ31_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e21 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3219,f3283]) ).
fof(f3285,plain,
( sQ166_spl
| ~ sQ31_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ117_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f915,f3284]) ).
fof(f3286,plain,
( sQ166_spl
| ~ sQ31_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ117_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3285]) ).
fof(f3287,plain,
( sQ166_spl
| ~ sQ31_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3286]) ).
fof(f3302,plain,
( ~ sQ197_spl
| ~ sQ265_spl
| ~ sQ107_spl
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3088,f2906]) ).
fof(f3303,plain,
( ~ sQ197_spl
| ~ sQ265_spl
| ~ sQ107_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2239,f3302]) ).
fof(f3304,plain,
( ~ sQ197_spl
| ~ sQ265_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3303,f218]) ).
fof(f3305,plain,
( ~ sQ197_spl
| ~ sQ265_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3304]) ).
fof(f3306,plain,
( ~ sQ207_spl
| ~ sQ10_spl
| e22 = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3138,f3159]) ).
fof(f3307,plain,
( sQ168_spl
| ~ sQ38_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e20 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3219,f3218]) ).
fof(f3308,plain,
( sQ168_spl
| ~ sQ38_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f782,f3307]) ).
fof(f3309,plain,
( sQ168_spl
| ~ sQ38_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3308]) ).
fof(f3310,plain,
( sQ168_spl
| ~ sQ38_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f3309]) ).
fof(f3338,plain,
( sQ161_spl
| ~ sQ10_spl
| ~ sQ84_spl
| ~ sQ256_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1456,f3222]) ).
fof(f3339,plain,
( sQ161_spl
| ~ sQ10_spl
| ~ sQ84_spl
| ~ sQ256_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f847,f3338]) ).
fof(f3340,plain,
( sQ161_spl
| ~ sQ10_spl
| ~ sQ84_spl
| ~ sQ256_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3339]) ).
fof(f3341,plain,
( sQ161_spl
| ~ sQ10_spl
| ~ sQ84_spl
| ~ sQ256_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f3340]) ).
fof(f3347,plain,
( sQ160_spl
| ~ sQ7_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1456,f3260]) ).
fof(f3348,plain,
( sQ160_spl
| ~ sQ7_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2246,f3347]) ).
fof(f3349,plain,
( sQ160_spl
| ~ sQ7_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3348]) ).
fof(f3350,plain,
( sQ160_spl
| ~ sQ7_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f3349]) ).
fof(f3380,plain,
( sQ192_spl
| ~ sQ43_spl
| ~ sQ197_spl
| ~ sQ107_spl
| e22 != op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f3088,f2107]) ).
fof(f3381,plain,
( sQ192_spl
| ~ sQ43_spl
| ~ sQ197_spl
| ~ sQ107_spl
| e22 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3088,f3380]) ).
fof(f3382,plain,
( sQ192_spl
| ~ sQ43_spl
| ~ sQ197_spl
| ~ sQ107_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f271,f3381]) ).
fof(f3383,plain,
( sQ192_spl
| ~ sQ43_spl
| ~ sQ197_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3382]) ).
fof(f3384,plain,
( sQ192_spl
| ~ sQ43_spl
| ~ sQ197_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3383]) ).
fof(f3397,plain,
( ~ sQ196_spl
| ~ sQ197_spl
| ~ sQ107_spl
| h3(e10) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3088,f2304]) ).
fof(f3398,plain,
( ~ sQ196_spl
| ~ sQ197_spl
| ~ sQ107_spl
| h3(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f2246,f3397]) ).
fof(f3399,plain,
( ~ sQ196_spl
| ~ sQ197_spl
| ~ sQ107_spl
| sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3398,f1491]) ).
fof(f3400,plain,
( ~ sQ196_spl
| ~ sQ197_spl
| ~ sQ107_spl
| sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f3399]) ).
fof(f3403,plain,
( sQ194_spl
| ~ sQ264_spl
| ~ sQ51_spl
| h3(e13) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f668,f2913]) ).
fof(f3404,plain,
( sQ194_spl
| ~ sQ264_spl
| ~ sQ51_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f280,f3403]) ).
fof(f3405,plain,
( sQ194_spl
| ~ sQ264_spl
| ~ sQ51_spl
| ~ sQ102_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f866,f3404]) ).
fof(f3406,plain,
( sQ194_spl
| ~ sQ264_spl
| ~ sQ51_spl
| ~ sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3405]) ).
fof(f3407,plain,
( sQ194_spl
| ~ sQ264_spl
| ~ sQ51_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f3406]) ).
fof(f3429,plain,
( sQ165_spl
| ~ sQ25_spl
| h2(e11) != op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f584,f1115]) ).
fof(f3430,plain,
( sQ165_spl
| ~ sQ25_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e23 != op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f3219,f3429]) ).
fof(f3431,plain,
( sQ165_spl
| ~ sQ25_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e23 != op2(e23,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f3219,f3430]) ).
fof(f3432,plain,
( sQ165_spl
| ~ sQ25_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f3186,f3431]) ).
fof(f3433,plain,
( sQ165_spl
| ~ sQ25_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ115_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f908,f3432]) ).
fof(f3434,plain,
( sQ165_spl
| ~ sQ25_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ115_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3433]) ).
fof(f3435,plain,
( sQ165_spl
| ~ sQ25_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3434]) ).
fof(f3452,plain,
( sQ214_spl
| ~ sQ38_spl
| h4(e12) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f626,f2612]) ).
fof(f3453,plain,
( sQ214_spl
| ~ sQ38_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2322,f3452]) ).
fof(f3454,plain,
( sQ214_spl
| ~ sQ38_spl
| ~ sQ102_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f866,f3453]) ).
fof(f3455,plain,
( sQ214_spl
| ~ sQ38_spl
| ~ sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3454]) ).
fof(f3456,plain,
( sQ214_spl
| ~ sQ38_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f3455]) ).
fof(f3464,plain,
( ~ sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3083,f868,f881]) ).
fof(f3465,plain,
( ~ sQ84_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f2859,f859,f807]) ).
fof(f3473,plain,
( ~ sQ65_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f3033,f771,f745]) ).
fof(f3488,plain,
( sQ167_spl
| ~ sQ32_spl
| h2(e10) != op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f607,f1121]) ).
fof(f3489,plain,
( sQ167_spl
| ~ sQ32_spl
| ~ sQ256_spl
| e22 != op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1456,f3488]) ).
fof(f3490,plain,
( sQ167_spl
| ~ sQ32_spl
| ~ sQ256_spl
| ~ sQ84_spl
| e22 != op2(e20,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3186,f3489]) ).
fof(f3491,plain,
( sQ167_spl
| ~ sQ32_spl
| ~ sQ256_spl
| ~ sQ84_spl
| e22 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1456,f3490]) ).
fof(f3496,plain,
( sQ164_spl
| ~ sQ20_spl
| h2(e10) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f568,f1112]) ).
fof(f3497,plain,
( sQ164_spl
| ~ sQ20_spl
| ~ sQ256_spl
| e22 != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1456,f3496]) ).
fof(f3498,plain,
( sQ164_spl
| ~ sQ20_spl
| ~ sQ256_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e22 != op2(e23,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3219,f3497]) ).
fof(f3499,plain,
( sQ164_spl
| ~ sQ20_spl
| ~ sQ256_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e22 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3219,f3498]) ).
fof(f3500,plain,
( sQ164_spl
| ~ sQ20_spl
| ~ sQ256_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f271,f3499]) ).
fof(f3501,plain,
( sQ164_spl
| ~ sQ20_spl
| ~ sQ256_spl
| ~ sQ84_spl
| ~ sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3500]) ).
fof(f3502,plain,
( sQ164_spl
| ~ sQ20_spl
| ~ sQ256_spl
| ~ sQ84_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f3501]) ).
fof(f3513,plain,
( sQ159_spl
| ~ sQ1_spl
| h2(e11) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f506,f1097]) ).
fof(f3514,plain,
( sQ159_spl
| ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e23 != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3219,f3513]) ).
fof(f3515,plain,
( sQ159_spl
| ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| e23 != op2(e22,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1456,f3514]) ).
fof(f3516,plain,
( sQ159_spl
| ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1456,f3515]) ).
fof(f3517,plain,
( sQ159_spl
| ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f882,f3516]) ).
fof(f3518,plain,
( sQ159_spl
| ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3517]) ).
fof(f3519,plain,
( sQ159_spl
| ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3518]) ).
fof(f3532,plain,
( ~ sQ207_spl
| ~ sQ10_spl
| sQ167_spl
| ~ sQ32_spl
| ~ sQ256_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3306,f3491]) ).
fof(f3533,plain,
( ~ sQ207_spl
| ~ sQ10_spl
| sQ167_spl
| ~ sQ32_spl
| ~ sQ256_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f3532]) ).
fof(f3548,plain,
( sQ172_spl
| ~ sQ53_spl
| h2(e11) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f675,f2681]) ).
fof(f3549,plain,
( sQ172_spl
| ~ sQ53_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e23 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3219,f3548]) ).
fof(f3550,plain,
( sQ172_spl
| ~ sQ53_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3219,f3549]) ).
fof(f3551,plain,
( sQ172_spl
| ~ sQ53_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ212_spl
| ~ sQ31_spl
| ~ sQ227_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2990,f3550]) ).
fof(f3552,plain,
( sQ172_spl
| ~ sQ53_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ212_spl
| ~ sQ31_spl
| ~ sQ227_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3551]) ).
fof(f3553,plain,
( sQ172_spl
| ~ sQ53_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ212_spl
| ~ sQ31_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f3552]) ).
fof(f3568,plain,
( sQ171_spl
| ~ sQ51_spl
| h2(e13) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f668,f2688]) ).
fof(f3569,plain,
( sQ171_spl
| ~ sQ51_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f276,f3568]) ).
fof(f3570,plain,
( sQ171_spl
| ~ sQ51_spl
| ~ sQ256_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1456,f3569]) ).
fof(f3571,plain,
( sQ171_spl
| ~ sQ51_spl
| ~ sQ256_spl
| ~ sQ211_spl
| ~ sQ25_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3003,f3570]) ).
fof(f3572,plain,
( sQ171_spl
| ~ sQ51_spl
| ~ sQ256_spl
| ~ sQ211_spl
| ~ sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3571]) ).
fof(f3573,plain,
( sQ171_spl
| ~ sQ51_spl
| ~ sQ256_spl
| ~ sQ211_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3572]) ).
fof(f3578,plain,
( sQ163_spl
| ~ sQ18_spl
| h2(e12) != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f561,f1109]) ).
fof(f3579,plain,
( sQ163_spl
| ~ sQ18_spl
| ~ sQ84_spl
| e20 != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3186,f3578]) ).
fof(f3580,plain,
( sQ163_spl
| ~ sQ18_spl
| ~ sQ84_spl
| ~ sQ71_spl
| e20 != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3219,f3579]) ).
fof(f3581,plain,
( sQ163_spl
| ~ sQ18_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1456,f3580]) ).
fof(f3582,plain,
( sQ163_spl
| ~ sQ18_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2239,f3581]) ).
fof(f3583,plain,
( sQ163_spl
| ~ sQ18_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3582]) ).
fof(f3584,plain,
( sQ163_spl
| ~ sQ18_spl
| ~ sQ84_spl
| ~ sQ71_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f3583]) ).
fof(f3610,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2981,f521,f625]) ).
fof(f3616,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2014,f576,f628]) ).
fof(f3621,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f568,f577]) ).
fof(f3622,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3621,f214]) ).
fof(f3623,plain,
( ~ sQ23_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3622]) ).
fof(f3624,plain,
$false,
inference(sat_refutation,[status(thm)],[f540,f605,f670,f696,f709,f710,f711,f714,f715,f716,f718,f720,f722,f724,f725,f726,f727,f729,f730,f731,f732,f733,f734,f735,f736,f741,f793,f845,f871,f949,f950,f953,f954,f955,f961,f965,f966,f969,f971,f972,f977,f980,f985,f990,f996,f1000,f1005,f1010,f1020,f1159,f1317,f1318,f1324,f1325,f1331,f1332,f1333,f1338,f1345,f1353,f1359,f1366,f1432,f1453,f1458,f1462,f1466,f1471,f1492,f1521,f1526,f1547,f1568,f1574,f1575,f1576,f1577,f1580,f1581,f1582,f1583,f1586,f1587,f1590,f1592,f1594,f1595,f1597,f1598,f1600,f1604,f1605,f1611,f1616,f1618,f1624,f1645,f1648,f1658,f1670,f1673,f1677,f1684,f1687,f1690,f1693,f1699,f1706,f1710,f1719,f1730,f1737,f1745,f1758,f1761,f1766,f1803,f1813,f1817,f1824,f1828,f1851,f1905,f1910,f1915,f1919,f1963,f1985,f1995,f2021,f2031,f2053,f2056,f2067,f2078,f2081,f2086,f2099,f2105,f2115,f2121,f2124,f2127,f2133,f2137,f2141,f2146,f2149,f2157,f2161,f2164,f2170,f2174,f2181,f2188,f2194,f2196,f2203,f2207,f2208,f2219,f2224,f2226,f2229,f2235,f2236,f2241,f2261,f2275,f2279,f2280,f2283,f2291,f2302,f2307,f2310,f2319,f2327,f2340,f2353,f2366,f2405,f2408,f2418,f2424,f2428,f2432,f2435,f2454,f2483,f2507,f2544,f2549,f2559,f2596,f2621,f2638,f2643,f2647,f2657,f2660,f2663,f2666,f2675,f2677,f2692,f2695,f2720,f2722,f2724,f2736,f2742,f2750,f2765,f2766,f2774,f2780,f2785,f2789,f2794,f2812,f2815,f2836,f2841,f2857,f2893,f2896,f2920,f2929,f2953,f2971,f2974,f2980,f2986,f2995,f2997,f2999,f3011,f3039,f3070,f3090,f3123,f3140,f3141,f3152,f3180,f3188,f3217,f3221,f3225,f3244,f3253,f3265,f3273,f3287,f3305,f3310,f3341,f3350,f3384,f3400,f3407,f3435,f3456,f3464,f3465,f3473,f3502,f3519,f3533,f3553,f3573,f3584,f3610,f3616,f3623]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG117+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 12:54:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.52 % Refutation found
% 0.13/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.76/0.54 % Elapsed time: 0.174789 seconds
% 0.76/0.54 % CPU time: 1.016220 seconds
% 0.76/0.54 % Total memory used: 142.512 MB
% 0.76/0.54 % Net memory used: 141.831 MB
%------------------------------------------------------------------------------