%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG111+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 11:48:14 AM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 186
% Syntax : Number of formulae : 849 ( 97 unt; 169 def)
% Number of atoms : 3302 (2028 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4064 (1611 ~;1672 |; 612 &)
% ( 169 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 171 ( 169 usr; 170 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e12) != e13
| op1(e13,e13) != e13 )
& ( op1(e11,e11) != e13
| op1(e13,e13) != e13 )
& ( op1(e10,e10) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e12,e12) != e12
| op1(e13,e12) != e13 )
& ( op1(e11,e11) != e12
| op1(e13,e12) != e13 )
& ( op1(e10,e10) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e12,e12) != e11
| op1(e13,e11) != e13 )
& ( op1(e11,e11) != e11
| op1(e13,e11) != e13 )
& ( op1(e10,e10) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( op1(e12,e12) != e10
| op1(e13,e10) != e13 )
& ( op1(e11,e11) != e10
| op1(e13,e10) != e13 )
& ( op1(e10,e10) != e10
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e11,e11) != e13
| op1(e12,e13) != e12 )
& ( op1(e10,e10) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e11) != e12
| op1(e12,e12) != e12 )
& ( op1(e10,e10) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e11,e11) != e11
| op1(e12,e11) != e12 )
& ( op1(e10,e10) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e10
| op1(e12,e10) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e11,e11) != e10
| op1(e12,e10) != e12 )
& ( op1(e10,e10) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e10,e10) != e13
| op1(e11,e13) != e11 )
& ( op1(e13,e13) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e10,e10) != e12
| op1(e11,e12) != e11 )
& ( op1(e13,e13) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11 )
& ( op1(e13,e13) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e11,e10) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e10,e10) != e10
| op1(e11,e10) != e11 )
& ( op1(e13,e13) != e13
| op1(e10,e13) != e10 )
& ( op1(e12,e12) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e13,e13) != e12
| op1(e10,e12) != e10 )
& ( op1(e12,e12) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e13,e13) != e11
| op1(e10,e11) != e10 )
& ( op1(e12,e12) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e13,e13) != e10
| op1(e10,e10) != e10 )
& ( op1(e12,e12) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e22) != e23
| op2(e23,e23) != e23 )
& ( op2(e21,e21) != e23
| op2(e23,e23) != e23 )
& ( op2(e20,e20) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e22,e22) != e22
| op2(e23,e22) != e23 )
& ( op2(e21,e21) != e22
| op2(e23,e22) != e23 )
& ( op2(e20,e20) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e22,e22) != e21
| op2(e23,e21) != e23 )
& ( op2(e21,e21) != e21
| op2(e23,e21) != e23 )
& ( op2(e20,e20) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( op2(e22,e22) != e20
| op2(e23,e20) != e23 )
& ( op2(e21,e21) != e20
| op2(e23,e20) != e23 )
& ( op2(e20,e20) != e20
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e21,e21) != e23
| op2(e22,e23) != e22 )
& ( op2(e20,e20) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e21) != e22
| op2(e22,e22) != e22 )
& ( op2(e20,e20) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e21,e21) != e21
| op2(e22,e21) != e22 )
& ( op2(e20,e20) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e20
| op2(e22,e20) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e21,e21) != e20
| op2(e22,e20) != e22 )
& ( op2(e20,e20) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e20,e20) != e23
| op2(e21,e23) != e21 )
& ( op2(e23,e23) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e20,e20) != e22
| op2(e21,e22) != e21 )
& ( op2(e23,e23) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21 )
& ( op2(e23,e23) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e21,e20) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e20,e20) != e20
| op2(e21,e20) != e21 )
& ( op2(e23,e23) != e23
| op2(e20,e23) != e20 )
& ( op2(e22,e22) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e23,e23) != e22
| op2(e20,e22) != e20 )
& ( op2(e22,e22) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e23,e23) != e21
| op2(e20,e21) != e20 )
& ( op2(e22,e22) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e23,e23) != e20
| op2(e20,e20) != e20 )
& ( op2(e22,e22) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e13) = e23 ),
file('/export/starexec/sandbox/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/sandbox/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(f21,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = 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(f39,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f86,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f96,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f104,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f112,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
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(f115,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f186,plain,
op2(e21,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(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != 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,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f247,plain,
( op1(e13,e13) != e11
| op1(e10,e11) != e10 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f248,plain,
( op1(e10,e10) != e12
| op1(e10,e12) != e10 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f253,plain,
( op1(e11,e11) != e13
| op1(e10,e13) != e10 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f261,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f269,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e11 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f273,plain,
( op1(e11,e11) != e10
| op1(e12,e10) != e12 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f274,plain,
( op1(e12,e12) != e10
| op1(e12,e10) != e12 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f275,plain,
( op1(e13,e13) != e10
| op1(e12,e10) != e12 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f279,plain,
( op1(e13,e13) != e11
| op1(e12,e11) != e12 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f282,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f285,plain,
( op1(e11,e11) != e13
| op1(e12,e13) != e12 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f295,plain,
( op1(e13,e13) != e11
| op1(e13,e11) != e13 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f303,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f304,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f311,plain,
( op2(e23,e23) != e21
| op2(e20,e21) != e20 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f313,plain,
( op2(e21,e21) != e22
| op2(e20,e22) != e20 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f316,plain,
( op2(e20,e20) != e23
| op2(e20,e23) != e20 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f317,plain,
( op2(e21,e21) != e23
| op2(e20,e23) != e20 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f318,plain,
( op2(e22,e22) != e23
| op2(e20,e23) != e20 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f321,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f322,plain,
( op2(e22,e22) != e20
| op2(e21,e20) != e21 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f325,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f343,plain,
( op2(e23,e23) != e21
| op2(e22,e21) != e22 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f346,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f349,plain,
( op2(e21,e21) != e23
| op2(e22,e23) != e22 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f350,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f353,plain,
( op2(e21,e21) != e20
| op2(e23,e20) != e23 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f354,plain,
( op2(e22,e22) != e20
| op2(e23,e20) != e23 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f359,plain,
( op2(e23,e23) != e21
| op2(e23,e21) != e23 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f360,plain,
( op2(e20,e20) != e22
| op2(e23,e22) != e23 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f361,plain,
( op2(e21,e21) != e22
| op2(e23,e22) != e23 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f367,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != e23 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f368,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f369,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f370,plain,
e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f371,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f372,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f373,plain,
e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f374,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f376,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f378,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f380,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f382,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f384,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f386,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f387,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f388,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f389,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f390,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(f391,definition,
( sP0_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f392,definition,
( sP1_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f393,definition,
( sP2_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f394,definition,
( sP3_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f395,definition,
( sP4_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f396,definition,
( sP5_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f397,definition,
( sP6_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f398,definition,
( sP7_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f399,definition,
( sP8_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f400,definition,
( sP9_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f401,definition,
( sP10_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f402,definition,
( sP11_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f403,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP11_prd
| sP10_prd
| sP9_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 )
| sP8_prd
| sP7_prd
| sP6_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 )
| sP5_prd
| sP4_prd
| sP3_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 )
| sP2_prd
| sP1_prd
| sP0_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)],[f390,f402,f401,f400,f399,f398,f397,f396,f395,f394,f393,f392,f391]) ).
fof(f419,plain,
( h4(e13) != e23
| sP11_prd
| sP10_prd
| sP9_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)) ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f444,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP4_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f395]) ).
fof(f448,plain,
( h2(e13) != e21
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f444]) ).
fof(f468,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP8_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f399]) ).
fof(f472,plain,
( h3(e13) != e22
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f474,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP9_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f400]) ).
fof(f475,plain,
( h4(e10) != e20
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f480,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP10_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f401]) ).
fof(f482,plain,
( h4(e11) != e21
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f486,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP11_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f402]) ).
fof(f489,plain,
( h4(e12) != e22
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f492,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f495,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f505,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f508,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f505,f508,f511,f514]) ).
fof(f518,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f524,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f531,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f534,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f537,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f531,f534,f537,f540]) ).
fof(f544,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f557,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f560,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f563,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f566,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f570,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f579,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f583,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f589,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f596,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f609,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f612,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f618,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f622,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f625,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f631,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f635,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f644,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f648,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f661,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f33,f661,f664,f667,f670]) ).
fof(f674,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f687,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f690,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( sQ61_spl
| op1(e13,e13) != e11 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f492,f505,f518,f531]) ).
fof(f701,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f492,f544,f596,f648]) ).
fof(f703,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f39,f495,f547,f599,f651]) ).
fof(f710,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f547,f560,f573,f586]) ).
fof(f711,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f508,f560,f612,f664]) ).
fof(f715,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f514,f566,f618,f670]) ).
fof(f720,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f602,f615,f628,f641]) ).
fof(f722,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f605,f618,f631,f644]) ).
fof(f725,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f531,f583,f635,f687]) ).
fof(f728,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f64,f654,f667,f680,f693]) ).
fof(f729,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f537,f589,f641,f693]) ).
fof(f730,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f657,f670,f683,f696]) ).
fof(f732,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f735,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f741,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f745,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f748,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f753,plain,
( sQ70_spl
| op2(e20,e21) != e22 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f758,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f764,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f771,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f780,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f784,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f797,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f800,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( sQ85_spl
| op2(e21,e21) != e21 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f806,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f797,f800,f803,f806]) ).
fof(f813,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f826,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f836,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f842,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f849,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f862,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f865,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f871,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f862,f865,f868,f871]) ).
fof(f875,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f881,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f884,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f885,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f888,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f901,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( sQ116_spl
| op2(e23,e21) != e20 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f914,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f920,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f927,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f933,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f83,f927,f930,f933,f936]) ).
fof(f940,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f732,f745,f758,f771]) ).
fof(f941,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f732,f784,f836,f888]) ).
fof(f942,plain,
( sQ77_spl
| sQ73_spl
| sQ69_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f86,f735,f748,f761,f774]) ).
fof(f946,plain,
( sQ79_spl
| sQ75_spl
| sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f90,f741,f754,f767,f780]) ).
fof(f950,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f787,f800,f813,f826]) ).
fof(f951,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f748,f800,f852,f904]) ).
fof(f952,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f790,f803,f816,f829]) ).
fof(f956,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f836,f849,f862,f875]) ).
fof(f960,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f842,f855,f868,f881]) ).
fof(f961,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f764,f816,f868,f920]) ).
fof(f968,plain,
( sQ126_spl
| sQ122_spl
| sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f112,f894,f907,f920,f933]) ).
fof(f970,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f897,f910,f923,f936]) ).
fof(f971,plain,
( sQ127_spl
| sQ111_spl
| sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f115,f780,f832,f884,f936]) ).
fof(f972,plain,
~ sQ0_spl,
inference(split_clause,[status(thm)],[f240,f492]) ).
fof(f979,plain,
( ~ sQ61_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f247,f505,f690]) ).
fof(f980,plain,
( ~ sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f248,f518,f498]) ).
fof(f985,plain,
( ~ sQ23_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f253,f531,f566]) ).
fof(f993,plain,
~ sQ21_spl,
inference(split_clause,[status(thm)],[f261,f560]) ).
fof(f1001,plain,
( ~ sQ23_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f269,f586,f566]) ).
fof(f1005,plain,
( ~ sQ20_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f273,f602,f557]) ).
fof(f1006,plain,
( ~ sQ40_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f274,f602,f622]) ).
fof(f1007,plain,
( ~ sQ60_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f275,f602,f687]) ).
fof(f1011,plain,
( ~ sQ61_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f279,f615,f690]) ).
fof(f1014,plain,
~ sQ42_spl,
inference(split_clause,[status(thm)],[f282,f628]) ).
fof(f1017,plain,
( ~ sQ23_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f285,f641,f566]) ).
fof(f1027,plain,
( ~ sQ61_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f295,f670,f690]) ).
fof(f1035,plain,
~ sQ63_spl,
inference(split_clause,[status(thm)],[f303,f696]) ).
fof(f1036,plain,
~ sQ64_spl,
inference(split_clause,[status(thm)],[f304,f732]) ).
fof(f1043,plain,
( ~ sQ125_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f311,f745,f930]) ).
fof(f1045,plain,
( ~ sQ86_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f313,f758,f803]) ).
fof(f1048,plain,
( ~ sQ67_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f316,f771,f741]) ).
fof(f1049,plain,
( ~ sQ87_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f317,f771,f806]) ).
fof(f1050,plain,
( ~ sQ107_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f318,f771,f871]) ).
fof(f1053,plain,
( ~ sQ84_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f321,f787,f797]) ).
fof(f1054,plain,
( ~ sQ104_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f322,f787,f862]) ).
fof(f1057,plain,
~ sQ85_spl,
inference(split_clause,[status(thm)],[f325,f800]) ).
fof(f1075,plain,
( ~ sQ125_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f343,f855,f930]) ).
fof(f1078,plain,
~ sQ106_spl,
inference(split_clause,[status(thm)],[f346,f868]) ).
fof(f1081,plain,
( ~ sQ87_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f349,f881,f806]) ).
fof(f1082,plain,
( ~ sQ107_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f350,f881,f871]) ).
fof(f1085,plain,
( ~ sQ84_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f353,f897,f797]) ).
fof(f1086,plain,
( ~ sQ104_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f354,f897,f862]) ).
fof(f1091,plain,
( ~ sQ125_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f359,f910,f930]) ).
fof(f1092,plain,
( ~ sQ66_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f360,f923,f738]) ).
fof(f1093,plain,
( ~ sQ86_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f361,f923,f803]) ).
fof(f1099,plain,
~ sQ127_spl,
inference(split_clause,[status(thm)],[f367,f936]) ).
fof(f1224,definition,
( sQ168_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1291,definition,
( sQ189_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( sQ189_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1291]) ).
fof(f1300,definition,
( sQ192_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1319,definition,
( sQ197_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1321,plain,
( sQ197_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1319]) ).
fof(f1322,definition,
( sQ198_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1324,plain,
( sQ198_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1325,definition,
( sQ199_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1327,plain,
( sQ199_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1325]) ).
fof(f1328,definition,
( sQ200_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1330,plain,
( sQ200_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,definition,
( sQ201_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1333,plain,
( sQ201_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1331]) ).
fof(f1334,definition,
( sQ202_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
( sQ202_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,definition,
( sQ203_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1339,plain,
( sQ203_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1340,definition,
( sQ204_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1342,plain,
( sQ204_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,definition,
( sQ205_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( sQ205_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1346,definition,
( sQ206_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1348,plain,
( sQ206_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,definition,
( sQ207_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1351,plain,
( sQ207_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1349]) ).
fof(f1352,definition,
( sQ208_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
( sQ208_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,definition,
( sQ209_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1357,plain,
( sQ209_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,definition,
( sQ210_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1360,plain,
( sQ210_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1361,definition,
( sQ211_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1363,plain,
( sQ211_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1364,definition,
( sQ212_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1366,plain,
( sQ212_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1364]) ).
fof(f1367,definition,
( sQ213_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1370,definition,
( sQ214_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1373,definition,
( sQ215_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1388,definition,
( sQ219_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1389,plain,
( ~ sQ219_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1390,plain,
( sQ219_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1391,plain,
( ~ sQ219_spl
| sQ215_spl
| sQ214_spl
| sQ213_spl
| ~ sQ212_spl
| ~ sQ211_spl
| ~ sQ210_spl
| ~ sQ209_spl
| ~ sQ208_spl
| ~ sQ207_spl
| ~ sQ206_spl
| ~ sQ205_spl
| ~ sQ204_spl
| ~ sQ203_spl
| ~ sQ202_spl
| ~ sQ201_spl
| ~ sQ200_spl
| ~ sQ199_spl
| ~ sQ198_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f419,f1319,f1322,f1325,f1328,f1331,f1334,f1337,f1340,f1343,f1346,f1349,f1352,f1355,f1358,f1361,f1364,f1367,f1370,f1373,f1388]) ).
fof(f1421,definition,
( sQ227_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( ~ sQ227_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1430,definition,
( sQ229_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( ~ sQ229_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1438,definition,
( sQ231_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1439,plain,
( ~ sQ231_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f1438]) ).
fof(f1455,definition,
( sQ235_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1456,plain,
( ~ sQ235_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f1455]) ).
fof(f1464,definition,
( sQ237_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1465,plain,
( ~ sQ237_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1464]) ).
fof(f1472,definition,
( sQ239_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( sQ239_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( ~ sQ239_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f448,f1224,f1472]) ).
fof(f1489,definition,
( sQ243_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1490,plain,
( ~ sQ243_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1489]) ).
fof(f1506,definition,
( sQ247_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1507,plain,
( ~ sQ247_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f1506]) ).
fof(f1523,definition,
( sQ251_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1524,plain,
( ~ sQ251_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1523]) ).
fof(f1540,definition,
( sQ255_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1542,plain,
( sQ255_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f1540]) ).
fof(f1543,plain,
( ~ sQ255_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f472,f1300,f1540]) ).
fof(f1545,definition,
( sQ256_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1546,plain,
( ~ sQ256_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1547,plain,
( sQ256_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1548,plain,
( ~ sQ256_spl
| ~ sQ213_spl ),
inference(split_clause,[status(thm)],[f475,f1367,f1545]) ).
fof(f1553,definition,
( sQ258_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1554,plain,
( ~ sQ258_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1553]) ).
fof(f1557,definition,
( sQ259_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1558,plain,
( ~ sQ259_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1562,definition,
( sQ260_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1563,plain,
( ~ sQ260_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f1562]) ).
fof(f1566,definition,
( sQ261_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1567,plain,
( ~ sQ261_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1568,plain,
( sQ261_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1569,plain,
( ~ sQ261_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f482,f1370,f1566]) ).
fof(f1570,definition,
( sQ262_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
( ~ sQ262_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1579,definition,
( sQ264_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1580,plain,
( ~ sQ264_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f1579]) ).
fof(f1583,definition,
( sQ265_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1584,plain,
( ~ sQ265_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f1583]) ).
fof(f1587,definition,
( sQ266_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1588,plain,
( ~ sQ266_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f1587]) ).
fof(f1589,plain,
( sQ266_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f1587]) ).
fof(f1590,plain,
( ~ sQ266_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f489,f1373,f1587]) ).
fof(f1596,plain,
( sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f1390]) ).
fof(f1597,plain,
sQ219_spl,
inference(contradiction_clause,[status(thm)],[f1596]) ).
fof(f1612,plain,
( sQ211_spl
| ~ sQ266_spl
| h4(op1(e13,e12)) != op2(h4(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f1588,f1363]) ).
fof(f1613,plain,
( ~ sQ262_spl
| ~ sQ266_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1588,f1571]) ).
fof(f1614,plain,
( ~ sQ262_spl
| ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1613,f221]) ).
fof(f1615,plain,
( ~ sQ262_spl
| ~ sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1616,plain,
( ~ sQ261_spl
| ~ sQ265_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1584,f1567]) ).
fof(f1617,plain,
( ~ sQ261_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1616,f221]) ).
fof(f1618,plain,
( ~ sQ261_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f1617]) ).
fof(f1627,plain,
( ~ sQ251_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f382,f1524]) ).
fof(f1628,plain,
( ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1627,f221]) ).
fof(f1629,plain,
~ sQ251_spl,
inference(contradiction_clause,[status(thm)],[f1628]) ).
fof(f1640,plain,
( ~ sQ247_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f382,f1507]) ).
fof(f1641,plain,
( ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1640,f219]) ).
fof(f1642,plain,
~ sQ247_spl,
inference(contradiction_clause,[status(thm)],[f1641]) ).
fof(f1644,plain,
( ~ sQ243_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f378,f1490]) ).
fof(f1645,plain,
( ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1644,f221]) ).
fof(f1646,plain,
~ sQ243_spl,
inference(contradiction_clause,[status(thm)],[f1645]) ).
fof(f1660,plain,
( ~ sQ235_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f378,f1456]) ).
fof(f1661,plain,
( ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1660,f218]) ).
fof(f1662,plain,
~ sQ235_spl,
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1664,plain,
( ~ sQ231_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f374,f1439]) ).
fof(f1665,plain,
( ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1664,f219]) ).
fof(f1666,plain,
~ sQ231_spl,
inference(contradiction_clause,[status(thm)],[f1665]) ).
fof(f1673,plain,
( ~ sQ227_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f374,f1422]) ).
fof(f1674,plain,
( ~ sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1673,f218]) ).
fof(f1675,plain,
~ sQ227_spl,
inference(contradiction_clause,[status(thm)],[f1674]) ).
fof(f1686,plain,
( ~ sQ259_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1558,f386]) ).
fof(f1687,plain,
( ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1686,f220]) ).
fof(f1688,plain,
~ sQ259_spl,
inference(contradiction_clause,[status(thm)],[f1687]) ).
fof(f1689,plain,
( sQ209_spl
| ~ sQ256_spl
| h4(op1(e13,e10)) != op2(h4(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f1546,f1357]) ).
fof(f1696,plain,
( ~ sQ266_spl
| ~ sQ258_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1554,f1588]) ).
fof(f1697,plain,
( ~ sQ266_spl
| ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1696,f219]) ).
fof(f1698,plain,
( ~ sQ266_spl
| ~ sQ258_spl ),
inference(contradiction_clause,[status(thm)],[f1697]) ).
fof(f1702,plain,
( sQ208_spl
| ~ sQ219_spl
| h4(op1(e12,e13)) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f1389,f1354]) ).
fof(f1703,plain,
( ~ sQ264_spl
| ~ sQ256_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1546,f1580]) ).
fof(f1704,plain,
( ~ sQ264_spl
| ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1703,f219]) ).
fof(f1705,plain,
( ~ sQ264_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f1704]) ).
fof(f1769,plain,
( sQ255_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f382,f1542]) ).
fof(f1770,plain,
( sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1769]) ).
fof(f1771,plain,
sQ255_spl,
inference(contradiction_clause,[status(thm)],[f1770]) ).
fof(f1782,plain,
( ~ sQ14_spl
| op1(e10,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f538,f144]) ).
fof(f1788,plain,
( ~ sQ28_spl
| op1(e11,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f584,f148]) ).
fof(f1790,plain,
( ~ sQ6_spl
| e12 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f512,f143]) ).
fof(f1794,plain,
( ~ sQ6_spl
| e12 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f512,f122]) ).
fof(f1817,plain,
op1(e13,e10) != e11,
inference(forward_demodulation,[status(thm)],[f369,f160]) ).
fof(f1825,plain,
( ~ sQ113_spl
| ~ sQ114_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f895,f892]) ).
fof(f1826,plain,
( ~ sQ113_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1825,f221]) ).
fof(f1827,plain,
( ~ sQ113_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f1826]) ).
fof(f1831,plain,
op1(e13,e11) != e11,
inference(forward_demodulation,[status(thm)],[f369,f162]) ).
fof(f1835,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f768,f765]) ).
fof(f1836,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1835,f223]) ).
fof(f1837,plain,
( ~ sQ74_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1836]) ).
fof(f1838,plain,
( ~ sQ118_spl
| ~ sQ116_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f902,f908]) ).
fof(f1839,plain,
( ~ sQ118_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1838,f219]) ).
fof(f1840,plain,
( ~ sQ118_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f1839]) ).
fof(f1845,plain,
( ~ sQ114_spl
| ~ sQ112_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f889,f895]) ).
fof(f1846,plain,
( ~ sQ114_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1845,f219]) ).
fof(f1847,plain,
( ~ sQ114_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1846]) ).
fof(f1851,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f752,f755]) ).
fof(f1852,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1851,f223]) ).
fof(f1853,plain,
( ~ sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1852]) ).
fof(f1860,plain,
( ~ sQ126_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f372,f934]) ).
fof(f1861,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1860,f221]) ).
fof(f1862,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f1861]) ).
fof(f1872,plain,
( ~ sQ124_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f372,f928]) ).
fof(f1873,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1872,f218]) ).
fof(f1874,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1873]) ).
fof(f1876,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f837,f843]) ).
fof(f1877,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1876,f219]) ).
fof(f1878,plain,
( ~ sQ98_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1877]) ).
fof(f1900,plain,
( ~ sQ47_spl
| op1(e10,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f645,f135]) ).
fof(f1912,plain,
( ~ sQ50_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f655,f121]) ).
fof(f1921,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f681,f678]) ).
fof(f1922,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1921,f215]) ).
fof(f1923,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1922]) ).
fof(f1935,plain,
( ~ sQ27_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f580,f149]) ).
fof(f1948,plain,
( ~ sQ52_spl
| op1(e12,e11) != e10 ),
inference(forward_demodulation,[status(thm)],[f662,f127]) ).
fof(f1989,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1948,f609,f661]) ).
fof(f1993,plain,
( ~ sQ62_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f369,f694]) ).
fof(f1994,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f215]) ).
fof(f1995,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1994]) ).
fof(f1996,plain,
( sQ61_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f369,f692]) ).
fof(f1997,plain,
( sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1996]) ).
fof(f1998,plain,
sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1997]) ).
fof(f2005,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f606,f603]) ).
fof(f2006,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2005,f217]) ).
fof(f2007,plain,
( ~ sQ34_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2006]) ).
fof(f2009,plain,
( sQ200_spl
| ~ sQ219_spl
| h4(op1(e10,e13)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f1389,f1330]) ).
fof(f2010,plain,
( sQ204_spl
| ~ sQ219_spl
| h4(op1(e11,e13)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1389,f1342]) ).
fof(f2011,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1782,f511,f537]) ).
fof(f2013,plain,
( sQ209_spl
| ~ sQ256_spl
| ~ sQ219_spl
| h4(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1389,f1689]) ).
fof(f2025,plain,
( ~ sQ19_spl
| e13 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f554,f146]) ).
fof(f2027,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2025,f566,f553]) ).
fof(f2031,plain,
( sQ200_spl
| ~ sQ219_spl
| ~ sQ256_spl
| h4(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1546,f2009]) ).
fof(f2043,plain,
( sQ199_spl
| ~ sQ256_spl
| h4(op1(e10,e12)) != op2(e20,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1546,f1327]) ).
fof(f2044,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f551,f545]) ).
fof(f2045,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2044,f213]) ).
fof(f2046,plain,
( ~ sQ16_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2045]) ).
fof(f2053,plain,
( sQ204_spl
| ~ sQ219_spl
| ~ sQ261_spl
| h4(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1567,f2010]) ).
fof(f2054,plain,
( sQ204_spl
| ~ sQ219_spl
| ~ sQ261_spl
| ~ sQ94_spl
| h4(op1(e11,e13)) != e22 ),
inference(forward_demodulation,[status(thm)],[f830,f2053]) ).
fof(f2058,plain,
( ~ sQ95_spl
| ~ sQ94_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f830,f833]) ).
fof(f2059,plain,
( ~ sQ95_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2058,f223]) ).
fof(f2060,plain,
( ~ sQ95_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f2059]) ).
fof(f2061,plain,
( ~ sQ111_spl
| ~ sQ108_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f876,f885]) ).
fof(f2062,plain,
( ~ sQ111_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2061,f220]) ).
fof(f2063,plain,
( ~ sQ111_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2069,plain,
( ~ sQ122_spl
| op2(e21,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f921,f180]) ).
fof(f2072,plain,
( ~ sQ122_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f2069,f816,f920]) ).
fof(f2084,plain,
( ~ sQ89_spl
| op2(e20,e22) != e21 ),
inference(backward_demodulation,[status(thm)],[f814,f176]) ).
fof(f2085,plain,
( ~ sQ89_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f2084,f761,f813]) ).
fof(f2091,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f814,f817]) ).
fof(f2092,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2091,f221]) ).
fof(f2093,plain,
( ~ sQ90_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f2092]) ).
fof(f2104,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f749,f752]) ).
fof(f2105,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2104,f221]) ).
fof(f2106,plain,
( ~ sQ70_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f2105]) ).
fof(f2116,plain,
( ~ sQ101_spl
| ~ sQ100_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f850,f853]) ).
fof(f2117,plain,
( ~ sQ101_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2116,f218]) ).
fof(f2118,plain,
( ~ sQ101_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f2117]) ).
fof(f2119,plain,
( ~ sQ79_spl
| ~ sQ77_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f775,f781]) ).
fof(f2120,plain,
( ~ sQ79_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2119,f222]) ).
fof(f2121,plain,
( ~ sQ79_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f2120]) ).
fof(f2125,plain,
( sQ197_spl
| ~ sQ256_spl
| h4(op1(e10,e10)) != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1546,f1321]) ).
fof(f2126,plain,
( sQ197_spl
| ~ sQ256_spl
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1546,f2125]) ).
fof(f2127,plain,
( sQ209_spl
| ~ sQ256_spl
| ~ sQ219_spl
| ~ sQ115_spl
| h4(op1(e13,e10)) != e23 ),
inference(backward_demodulation,[status(thm)],[f898,f2013]) ).
fof(f2140,plain,
( ~ sQ82_spl
| ~ sQ80_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f785,f791]) ).
fof(f2141,plain,
( ~ sQ82_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2140,f219]) ).
fof(f2142,plain,
( ~ sQ82_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f2141]) ).
fof(f2148,plain,
op2(e21,e23) != e21,
inference(forward_demodulation,[status(thm)],[f372,f186]) ).
fof(f2154,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f652,f1817]) ).
fof(f2155,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f2154]) ).
fof(f2163,plain,
( sQ189_spl
| h3(e11) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f369,f1293]) ).
fof(f2164,plain,
( sQ189_spl
| h3(e11) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f382,f2163]) ).
fof(f2165,plain,
( sQ189_spl
| h3(e11) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f382,f2164]) ).
fof(f2172,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f649,f658]) ).
fof(f2173,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2172,f214]) ).
fof(f2174,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2173]) ).
fof(f2177,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1912,f602,f654]) ).
fof(f2183,plain,
( sQ199_spl
| ~ sQ256_spl
| ~ sQ8_spl
| h4(e10) != op2(e20,h4(e12)) ),
inference(backward_demodulation,[status(thm)],[f519,f2043]) ).
fof(f2184,plain,
( sQ199_spl
| ~ sQ256_spl
| ~ sQ8_spl
| e20 != op2(e20,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1546,f2183]) ).
fof(f2188,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f632,f626]) ).
fof(f2189,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2188,f216]) ).
fof(f2190,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2189]) ).
fof(f2219,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f665,f1831]) ).
fof(f2220,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f2219]) ).
fof(f2221,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f613,f619]) ).
fof(f2222,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2221,f216]) ).
fof(f2223,plain,
( ~ sQ39_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2222]) ).
fof(f2224,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1790,f524,f511]) ).
fof(f2226,plain,
( ~ sQ6_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1794,f563,f511]) ).
fof(f2239,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1788,f544,f583]) ).
fof(f2246,plain,
( ~ sQ74_spl
| ~ sQ72_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f759,f765]) ).
fof(f2247,plain,
( ~ sQ74_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2246,f219]) ).
fof(f2248,plain,
( ~ sQ74_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f2247]) ).
fof(f2250,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f785,f788]) ).
fof(f2251,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2250,f218]) ).
fof(f2252,plain,
( ~ sQ81_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f2251]) ).
fof(f2261,plain,
( ~ sQ114_spl
| ~ sQ115_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f898,f895]) ).
fof(f2262,plain,
( ~ sQ114_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2261,f223]) ).
fof(f2263,plain,
( ~ sQ114_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2262]) ).
fof(f2265,plain,
( ~ sQ112_spl
| ~ sQ115_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f898,f889]) ).
fof(f2266,plain,
( ~ sQ112_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2265,f220]) ).
fof(f2267,plain,
( ~ sQ112_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2266]) ).
fof(f2277,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f548,f545]) ).
fof(f2278,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2277,f212]) ).
fof(f2279,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2290,plain,
( sQ209_spl
| ~ sQ256_spl
| ~ sQ219_spl
| ~ sQ115_spl
| ~ sQ51_spl
| h4(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f658,f2127]) ).
fof(f2292,plain,
( sQ209_spl
| ~ sQ256_spl
| ~ sQ115_spl
| ~ sQ51_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f2290,f1388,f657,f897,f1545,f1355]) ).
fof(f2342,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f597,f603]) ).
fof(f2343,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2342,f213]) ).
fof(f2344,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2343]) ).
fof(f2361,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f675,f681]) ).
fof(f2362,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2361,f213]) ).
fof(f2363,plain,
( ~ sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2362]) ).
fof(f2372,plain,
( ~ sQ120_spl
| op2(e23,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f915,f209]) ).
fof(f2374,plain,
( ~ sQ120_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f2372,f901,f914]) ).
fof(f2377,plain,
e10 = op1(e13,e11),
inference(forward_demodulation,[status(thm)],[f369,f368]) ).
fof(f2387,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f827,f2148]) ).
fof(f2388,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f2387]) ).
fof(f2390,plain,
( ~ sQ105_spl
| op2(e22,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f866,f203]) ).
fof(f2394,plain,
( ~ sQ105_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f2390,f852,f865]) ).
fof(f2409,plain,
e12 = op1(op1(e13,e11),op1(e13,e13)),
inference(forward_demodulation,[status(thm)],[f369,f370]) ).
fof(f2410,plain,
( ~ sQ52_spl
| e12 = op1(e10,op1(e13,e13)) ),
inference(forward_demodulation,[status(thm)],[f662,f2409]) ).
fof(f2411,plain,
( ~ sQ52_spl
| e12 = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f369,f2410]) ).
fof(f2412,plain,
( ~ sQ52_spl
| ~ sQ7_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f515,f2411]) ).
fof(f2413,plain,
( ~ sQ52_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2412,f217]) ).
fof(f2414,plain,
( ~ sQ52_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2413]) ).
fof(f2425,plain,
e20 = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f372,f371]) ).
fof(f2426,plain,
e22 = op2(op2(e23,e21),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f372,f373]) ).
fof(f2427,plain,
e22 = op2(e20,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f2425,f2426]) ).
fof(f2428,plain,
e22 = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f372,f2427]) ).
fof(f2429,plain,
( sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2428,f753]) ).
fof(f2430,plain,
sQ70_spl,
inference(contradiction_clause,[status(thm)],[f2429]) ).
fof(f2436,plain,
( sQ116_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2425,f903]) ).
fof(f2437,plain,
( sQ116_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2436]) ).
fof(f2438,plain,
sQ116_spl,
inference(contradiction_clause,[status(thm)],[f2437]) ).
fof(f2442,plain,
( ~ sQ117_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2425,f905]) ).
fof(f2443,plain,
( ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f218]) ).
fof(f2444,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f2443]) ).
fof(f2449,plain,
( ~ sQ229_spl
| e22 != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f2451,f188]) ).
fof(f2451,plain,
( ~ sQ229_spl
| e22 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1431,f376]) ).
fof(f2453,plain,
( ~ sQ229_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f2449,f751,f1430]) ).
fof(f2460,plain,
( ~ sQ237_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1465,f380]) ).
fof(f2461,plain,
( ~ sQ237_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2460,f802]) ).
fof(f2462,plain,
( ~ sQ237_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2466,plain,
( sQ239_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f378,f1474]) ).
fof(f2467,plain,
( sQ239_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2466]) ).
fof(f2468,plain,
sQ239_spl,
inference(contradiction_clause,[status(thm)],[f2467]) ).
fof(f2472,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f600,f603]) ).
fof(f2473,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2472,f215]) ).
fof(f2474,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2473]) ).
fof(f2487,plain,
h4(e10) = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f372,f387]) ).
fof(f2488,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f2425,f2487]) ).
fof(f2489,plain,
( sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2488,f1547]) ).
fof(f2490,plain,
sQ256_spl,
inference(contradiction_clause,[status(thm)],[f2489]) ).
fof(f2491,plain,
( sQ197_spl
| ~ sQ256_spl
| ~ sQ65_spl
| h4(op1(e10,e10)) != e21 ),
inference(forward_demodulation,[status(thm)],[f736,f2126]) ).
fof(f2492,plain,
( sQ200_spl
| ~ sQ219_spl
| ~ sQ256_spl
| ~ sQ79_spl
| h4(op1(e10,e13)) != e23 ),
inference(forward_demodulation,[status(thm)],[f781,f2031]) ).
fof(f2505,plain,
h4(e12) = op2(op2(e23,e21),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f372,f389]) ).
fof(f2506,plain,
h4(e12) = op2(e20,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f2425,f2505]) ).
fof(f2509,plain,
h4(e12) = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f372,f2506]) ).
fof(f2510,plain,
( ~ sQ54_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f668,f2377]) ).
fof(f2511,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2510,f213]) ).
fof(f2512,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2513,plain,
( ~ sQ123_spl
| ~ sQ122_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f921,f924]) ).
fof(f2514,plain,
( ~ sQ123_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2513,f223]) ).
fof(f2515,plain,
( ~ sQ123_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f2514]) ).
fof(f2530,plain,
( sQ189_spl
| h3(e11) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f384,f2165]) ).
fof(f2531,plain,
( sQ189_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2530]) ).
fof(f2532,plain,
sQ189_spl,
inference(contradiction_clause,[status(thm)],[f2531]) ).
fof(f2541,plain,
e22 = h4(e12),
inference(forward_demodulation,[status(thm)],[f2509,f2428]) ).
fof(f2542,plain,
( sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2541,f1589]) ).
fof(f2543,plain,
sQ266_spl,
inference(contradiction_clause,[status(thm)],[f2542]) ).
fof(f2544,plain,
( sQ211_spl
| ~ sQ266_spl
| ~ sQ219_spl
| h4(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1389,f1612]) ).
fof(f2545,plain,
( sQ211_spl
| ~ sQ266_spl
| ~ sQ219_spl
| ~ sQ122_spl
| h4(op1(e13,e12)) != e22 ),
inference(forward_demodulation,[status(thm)],[f921,f2544]) ).
fof(f2555,plain,
( sQ199_spl
| ~ sQ256_spl
| ~ sQ8_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f2541,f2184]) ).
fof(f2565,plain,
( ~ sQ72_spl
| sQ199_spl
| ~ sQ256_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f759,f2555]) ).
fof(f2566,plain,
( ~ sQ72_spl
| sQ199_spl
| ~ sQ256_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2565]) ).
fof(f2585,plain,
( ~ sQ107_spl
| h3(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f384,f872]) ).
fof(f2591,plain,
( ~ sQ107_spl
| e23 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f2585,f384]) ).
fof(f2698,plain,
( sQ211_spl
| ~ sQ266_spl
| ~ sQ219_spl
| ~ sQ122_spl
| ~ sQ58_spl
| h4(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f681,f2545]) ).
fof(f2702,plain,
( sQ211_spl
| ~ sQ219_spl
| ~ sQ122_spl
| ~ sQ58_spl
| ~ sQ266_spl ),
inference(split_clause,[status(thm)],[f2698,f1587,f680,f920,f1388,f1361]) ).
fof(f2725,plain,
( sQ204_spl
| ~ sQ219_spl
| ~ sQ261_spl
| ~ sQ94_spl
| ~ sQ30_spl
| h4(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f590,f2054]) ).
fof(f2727,plain,
( sQ204_spl
| ~ sQ219_spl
| ~ sQ261_spl
| ~ sQ94_spl
| ~ sQ30_spl
| ~ sQ266_spl ),
inference(split_clause,[status(thm)],[f2725,f1587,f589,f829,f1566,f1388,f1340]) ).
fof(f2728,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f372,f388]) ).
fof(f2729,plain,
( sQ198_spl
| ~ sQ6_spl
| h4(e12) != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f512,f1324]) ).
fof(f2730,plain,
( sQ198_spl
| ~ sQ6_spl
| e22 != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2541,f2729]) ).
fof(f2731,plain,
( sQ198_spl
| ~ sQ6_spl
| ~ sQ256_spl
| e22 != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1546,f2730]) ).
fof(f2739,plain,
( ~ sQ260_spl
| ~ sQ256_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1546,f1563]) ).
fof(f2740,plain,
( ~ sQ260_spl
| ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2739,f218]) ).
fof(f2741,plain,
( ~ sQ260_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f2740]) ).
fof(f2758,plain,
( sQ261_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2728,f1568]) ).
fof(f2759,plain,
( sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2758]) ).
fof(f2760,plain,
sQ261_spl,
inference(contradiction_clause,[status(thm)],[f2759]) ).
fof(f2805,plain,
( sQ212_spl
| h4(e11) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f369,f1366]) ).
fof(f2806,plain,
( sQ212_spl
| e21 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2728,f2805]) ).
fof(f2807,plain,
( sQ212_spl
| ~ sQ219_spl
| e21 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1389,f2806]) ).
fof(f2808,plain,
( sQ212_spl
| ~ sQ219_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1389,f2807]) ).
fof(f2809,plain,
( sQ212_spl
| ~ sQ219_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f372,f2808]) ).
fof(f2810,plain,
( sQ212_spl
| ~ sQ219_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2809]) ).
fof(f2811,plain,
( sQ212_spl
| ~ sQ219_spl ),
inference(contradiction_clause,[status(thm)],[f2810]) ).
fof(f2816,plain,
( sQ210_spl
| h4(e10) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2377,f1360]) ).
fof(f2817,plain,
( sQ210_spl
| ~ sQ256_spl
| e20 != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1546,f2816]) ).
fof(f2818,plain,
( sQ210_spl
| ~ sQ256_spl
| ~ sQ219_spl
| e20 != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1389,f2817]) ).
fof(f2819,plain,
( sQ210_spl
| ~ sQ256_spl
| ~ sQ219_spl
| e20 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2728,f2818]) ).
fof(f2820,plain,
( sQ210_spl
| ~ sQ256_spl
| ~ sQ219_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2425,f2819]) ).
fof(f2821,plain,
( sQ210_spl
| ~ sQ256_spl
| ~ sQ219_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2820]) ).
fof(f2822,plain,
( sQ210_spl
| ~ sQ256_spl
| ~ sQ219_spl ),
inference(contradiction_clause,[status(thm)],[f2821]) ).
fof(f2829,plain,
( sQ201_spl
| h4(op1(e11,e10)) != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2728,f1333]) ).
fof(f2830,plain,
( sQ201_spl
| ~ sQ256_spl
| h4(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1546,f2829]) ).
fof(f2831,plain,
( sQ201_spl
| ~ sQ256_spl
| ~ sQ80_spl
| h4(op1(e11,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f785,f2830]) ).
fof(f2846,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f593,f590]) ).
fof(f2847,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2846,f217]) ).
fof(f2848,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2847]) ).
fof(f2852,plain,
( sQ198_spl
| ~ sQ6_spl
| ~ sQ256_spl
| e22 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2728,f2731]) ).
fof(f2853,plain,
( sQ198_spl
| ~ sQ6_spl
| ~ sQ256_spl
| ~ sQ70_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f752,f2852]) ).
fof(f2854,plain,
( sQ198_spl
| ~ sQ6_spl
| ~ sQ256_spl
| ~ sQ70_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2853]) ).
fof(f2855,plain,
( sQ198_spl
| ~ sQ6_spl
| ~ sQ256_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f2854]) ).
fof(f2856,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f571,f574]) ).
fof(f2857,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2856,f212]) ).
fof(f2858,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2857]) ).
fof(f2862,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1900,f540,f644]) ).
fof(f2870,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1935,f566,f579]) ).
fof(f2871,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f681,f684]) ).
fof(f2872,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2871,f217]) ).
fof(f2873,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2872]) ).
fof(f2886,plain,
( sQ202_spl
| h4(op1(e11,e11)) != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2728,f1336]) ).
fof(f2887,plain,
( sQ202_spl
| h4(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2728,f2886]) ).
fof(f2888,plain,
( sQ202_spl
| ~ sQ87_spl
| h4(op1(e11,e11)) != e23 ),
inference(forward_demodulation,[status(thm)],[f807,f2887]) ).
fof(f2895,plain,
( sQ202_spl
| ~ sQ87_spl
| ~ sQ23_spl
| h4(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f567,f2888]) ).
fof(f2900,plain,
( sQ202_spl
| ~ sQ87_spl
| ~ sQ23_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f2895,f1388,f566,f806,f1334]) ).
fof(f2913,plain,
( ~ sQ1_spl
| e11 != op1(e10,e13) ),
inference(backward_demodulation,[status(thm)],[f496,f142]) ).
fof(f2917,plain,
( sQ197_spl
| ~ sQ256_spl
| ~ sQ65_spl
| ~ sQ1_spl
| h4(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f496,f2491]) ).
fof(f2919,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2913,f534,f495]) ).
fof(f2921,plain,
( sQ197_spl
| ~ sQ256_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f2917,f1566,f495,f735,f1545,f1319]) ).
fof(f2926,plain,
( ~ sQ5_spl
| ~ sQ52_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f2411,f509]) ).
fof(f2927,plain,
( ~ sQ5_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2926,f215]) ).
fof(f2928,plain,
( ~ sQ5_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2927]) ).
fof(f2944,plain,
( sQ203_spl
| h4(op1(e11,e12)) != op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2728,f1339]) ).
fof(f2945,plain,
( sQ203_spl
| h4(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2541,f2944]) ).
fof(f2946,plain,
( sQ203_spl
| ~ sQ89_spl
| h4(op1(e11,e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f814,f2945]) ).
fof(f2957,plain,
( sQ201_spl
| ~ sQ256_spl
| ~ sQ80_spl
| ~ sQ16_spl
| h4(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f545,f2831]) ).
fof(f2960,plain,
( sQ201_spl
| ~ sQ80_spl
| ~ sQ16_spl
| ~ sQ256_spl ),
inference(split_clause,[status(thm)],[f2957,f1545,f544,f784,f1331]) ).
fof(f2971,plain,
( ~ sQ30_spl
| op1(e11,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f590,f151]) ).
fof(f2972,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2971,f576,f589]) ).
fof(f2974,plain,
( sQ203_spl
| ~ sQ89_spl
| ~ sQ25_spl
| h4(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f574,f2946]) ).
fof(f2975,plain,
( sQ203_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f2974,f1566,f573,f813,f1337]) ).
fof(f2994,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f636,f639]) ).
fof(f2995,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2994,f212]) ).
fof(f2996,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2995]) ).
fof(f2997,plain,
( sQ200_spl
| ~ sQ219_spl
| ~ sQ256_spl
| ~ sQ79_spl
| ~ sQ15_spl
| h4(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f541,f2492]) ).
fof(f3002,plain,
( sQ200_spl
| ~ sQ256_spl
| ~ sQ79_spl
| ~ sQ15_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f2997,f1388,f540,f780,f1545,f1328]) ).
fof(f3017,plain,
( sQ205_spl
| ~ sQ34_spl
| h4(e12) != op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f603,f1345]) ).
fof(f3018,plain,
( sQ205_spl
| ~ sQ34_spl
| e22 != op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2541,f3017]) ).
fof(f3019,plain,
( sQ205_spl
| ~ sQ34_spl
| e22 != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2541,f3018]) ).
fof(f3020,plain,
( sQ205_spl
| ~ sQ34_spl
| ~ sQ256_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1546,f3019]) ).
fof(f3021,plain,
( sQ205_spl
| ~ sQ34_spl
| ~ sQ256_spl
| ~ sQ98_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f843,f3020]) ).
fof(f3022,plain,
( sQ205_spl
| ~ sQ34_spl
| ~ sQ256_spl
| ~ sQ98_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3021]) ).
fof(f3023,plain,
( sQ205_spl
| ~ sQ34_spl
| ~ sQ256_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f3022]) ).
fof(f3081,plain,
( sQ206_spl
| ~ sQ37_spl
| h4(e11) != op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f613,f1348]) ).
fof(f3082,plain,
( sQ206_spl
| ~ sQ37_spl
| e21 != op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2728,f3081]) ).
fof(f3083,plain,
( sQ206_spl
| ~ sQ37_spl
| e21 != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2541,f3082]) ).
fof(f3084,plain,
( sQ206_spl
| ~ sQ37_spl
| e21 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2728,f3083]) ).
fof(f3085,plain,
( sQ206_spl
| ~ sQ37_spl
| ~ sQ101_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f853,f3084]) ).
fof(f3086,plain,
( sQ206_spl
| ~ sQ37_spl
| ~ sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3085]) ).
fof(f3087,plain,
( sQ206_spl
| ~ sQ37_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f3086]) ).
fof(f3108,plain,
( sQ207_spl
| ~ sQ43_spl
| h4(e13) != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f632,f1351]) ).
fof(f3109,plain,
( sQ207_spl
| ~ sQ43_spl
| ~ sQ219_spl
| e23 != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1389,f3108]) ).
fof(f3110,plain,
( sQ207_spl
| ~ sQ43_spl
| ~ sQ219_spl
| e23 != op2(e22,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2541,f3109]) ).
fof(f3111,plain,
( sQ207_spl
| ~ sQ43_spl
| ~ sQ219_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2541,f3110]) ).
fof(f3112,plain,
( sQ207_spl
| ~ sQ43_spl
| ~ sQ219_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2591,f3111]) ).
fof(f3113,plain,
( sQ207_spl
| ~ sQ43_spl
| ~ sQ219_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3112]) ).
fof(f3114,plain,
( sQ207_spl
| ~ sQ43_spl
| ~ sQ219_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3113]) ).
fof(f3146,plain,
( sQ208_spl
| ~ sQ219_spl
| ~ sQ44_spl
| h4(e10) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f636,f1702]) ).
fof(f3147,plain,
( sQ208_spl
| ~ sQ219_spl
| ~ sQ44_spl
| ~ sQ256_spl
| e20 != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f1546,f3146]) ).
fof(f3148,plain,
( sQ208_spl
| ~ sQ219_spl
| ~ sQ44_spl
| ~ sQ256_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2541,f3147]) ).
fof(f3149,plain,
( sQ208_spl
| ~ sQ219_spl
| ~ sQ44_spl
| ~ sQ256_spl
| ~ sQ108_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f876,f3148]) ).
fof(f3150,plain,
( sQ208_spl
| ~ sQ219_spl
| ~ sQ44_spl
| ~ sQ256_spl
| ~ sQ108_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3149]) ).
fof(f3151,plain,
( sQ208_spl
| ~ sQ219_spl
| ~ sQ44_spl
| ~ sQ256_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f3150]) ).
fof(f3174,plain,
( ~ sQ76_spl
| ~ sQ79_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f781,f772]) ).
fof(f3175,plain,
( ~ sQ76_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3174,f220]) ).
fof(f3176,plain,
( ~ sQ76_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f3175]) ).
fof(f3177,plain,
$false,
inference(sat_refutation,[status(thm)],[f517,f543,f673,f700,f701,f703,f710,f711,f715,f720,f722,f725,f728,f729,f730,f809,f874,f939,f940,f941,f942,f946,f950,f951,f952,f956,f960,f961,f968,f970,f971,f972,f979,f980,f985,f993,f1001,f1005,f1006,f1007,f1011,f1014,f1017,f1027,f1035,f1036,f1043,f1045,f1048,f1049,f1050,f1053,f1054,f1057,f1075,f1078,f1081,f1082,f1085,f1086,f1091,f1092,f1093,f1099,f1391,f1475,f1543,f1548,f1569,f1590,f1597,f1615,f1618,f1629,f1642,f1646,f1662,f1666,f1675,f1688,f1698,f1705,f1771,f1827,f1837,f1840,f1847,f1853,f1862,f1874,f1878,f1923,f1989,f1995,f1998,f2007,f2011,f2027,f2046,f2060,f2063,f2072,f2085,f2093,f2106,f2118,f2121,f2142,f2155,f2174,f2177,f2190,f2220,f2223,f2224,f2226,f2239,f2248,f2252,f2263,f2267,f2279,f2292,f2344,f2363,f2374,f2388,f2394,f2414,f2430,f2438,f2444,f2453,f2462,f2468,f2474,f2490,f2512,f2515,f2532,f2543,f2566,f2702,f2727,f2741,f2760,f2811,f2822,f2848,f2855,f2858,f2862,f2870,f2873,f2900,f2919,f2921,f2928,f2960,f2972,f2975,f2996,f3002,f3023,f3087,f3114,f3151,f3176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG111+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 12:56:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.44 % Refutation found
% 0.11/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.48 % Elapsed time: 0.102947 seconds
% 0.11/0.48 % CPU time: 0.450216 seconds
% 0.11/0.48 % Total memory used: 122.653 MB
% 0.11/0.48 % Net memory used: 122.418 MB
%------------------------------------------------------------------------------